Cleared unnecessary output
authorNeil Smith <neil.git@njae.me.uk>
Wed, 8 Mar 2017 17:31:50 +0000 (09:31 -0800)
committerNeil Smith <neil.git@njae.me.uk>
Wed, 8 Mar 2017 17:31:50 +0000 (09:31 -0800)
monotone-substrings/single_substring.ipynb

index c800ab91a5c74b0a8ef48c6fc12230b3e2d3431d..abe44f2483fc491b083e238abf80ec4a5908f31b 100644 (file)
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": null,
    "metadata": {
     "collapsed": false
    },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "   2 True\t507397235148595028\t<\t6461760457608227210\n",
-      "   1 True\t6461760457608227210\t=\t6461760457608227210\n",
-      "   2 True\t6461760457608227210\t<\t8024234842904484635\n",
-      "   2 False\t8024234842904484635\t>\t1062610986199025451\n",
-      "   3 False\t1062610986199025451\t>\t669365375627903962\n",
-      "   2 True\t669365375627903962\t<\t5928085998857916240\n",
-      "   3 True\t5928085998857916240\t<\t8809040353408361641\n",
-      "   2 False\t8809040353408361641\t>\t675278458377745936\n",
-      "   2 True\t675278458377745936\t<\t3899142139768576880\n",
-      "   2 False\t3899142139768576880\t>\t1500531926410109616\n",
-      "   3 False\t1500531926410109616\t>\t1062003647350425897\n",
-      "   2 True\t1062003647350425897\t<\t1522179760753226958\n",
-      "   2 False\t1522179760753226958\t>\t524406187453934903\n",
-      "   2 True\t524406187453934903\t<\t3619084864462337725\n",
-      "   3 True\t3619084864462337725\t<\t7034126311046748884\n",
-      "   4 True\t7034126311046748884\t<\t7682292494300447589\n",
-      "   5 True\t7682292494300447589\t<\t9064548565068812352\n",
-      "   6 True\t9064548565068812352\t<\t9106475090671159078\n",
-      "   7 True\t9106475090671159078\t<\t9133231799233881089\n",
-      "   8 True\t9133231799233881089\t<\t9176427978659075288\n",
-      "   2 False\t9176427978659075288\t>\t8703065956162041922\n",
-      "   1 False\t8703065956162041922\t=\t8703065956162041922\n",
-      "   2 True\t8703065956162041922\t<\t9024862275857048635\n",
-      "   3 True\t9024862275857048635\t<\t9149142001716684271\n",
-      "   4 True\t9149142001716684271\t<\t9164572671381148064\n",
-      "   5 True\t9164572671381148064\t<\t9180919650144317338\n",
-      "   2 False\t9180919650144317338\t>\t4861004254155107867\n",
-      "   3 False\t4861004254155107867\t>\t1062988193684330919\n",
-      "   4 False\t1062988193684330919\t>\t1004250577780522814\n",
-      "   5 False\t1004250577780522814\t>\t517830022668520533\n",
-      "   6 False\t517830022668520533\t>\t317158564608266498\n",
-      "   7 False\t317158564608266498\t>\t272555289653250997\n",
-      "   2 True\t272555289653250997\t<\t6353206074242095566\n",
-      "   2 False\t6353206074242095566\t>\t4803618571401618149\n",
-      "   3 False\t4803618571401618149\t>\t165832414450642915\n",
-      "   2 True\t165832414450642915\t<\t3016447246991341086\n",
-      "   2 False\t3016447246991341086\t>\t1216585020853607094\n",
-      "   3 False\t1216585020853607094\t>\t77988824069228599\n",
-      "   4 False\t77988824069228599\t>\t24515785148023935\n",
-      "   5 False\t24515785148023935\t>\t3772232249841433\n",
-      "   2 True\t3772232249841433\t<\t2231031287709177821\n",
-      "   3 True\t2231031287709177821\t<\t7747722119665326274\n",
-      "   4 True\t7747722119665326274\t<\t8637494603889457663\n",
-      "   5 True\t8637494603889457663\t<\t8727755666241940492\n",
-      "   6 True\t8727755666241940492\t<\t8998879732446788967\n",
-      "   7 True\t8998879732446788967\t<\t9199557546716297655\n",
-      "   2 False\t9199557546716297655\t>\t5190839793757326161\n",
-      "   3 False\t5190839793757326161\t>\t1674108122929415890\n",
-      "   4 False\t1674108122929415890\t>\t1670035290588087304\n",
-      "   1 False\t1670035290588087304\t=\t1670035290588087304\n",
-      "   2 False\t1670035290588087304\t>\t970526335879159105\n",
-      "   3 False\t970526335879159105\t>\t301220627925165838\n",
-      "   4 False\t301220627925165838\t>\t134829893842931675\n",
-      "   5 False\t134829893842931675\t>\t18613962167487174\n",
-      "   6 False\t18613962167487174\t>\t6206301106087071\n",
-      "   7 False\t6206301106087071\t>\t288702603101221\n",
-      "   8 False\t288702603101221\t>\t44896988677814\n",
-      "   9 False\t44896988677814\t>\t8943597442883\n",
-      "   1 False\t8943597442883\t=\t8943597442883\n",
-      "   2 True\t8943597442883\t<\t2952147854877647191\n",
-      "   3 True\t2952147854877647191\t<\t8568981811255293698\n",
-      "   4 True\t8568981811255293698\t<\t8699843889008634502\n",
-      "   5 True\t8699843889008634502\t<\t9157587257549315737\n",
-      "   2 False\t9157587257549315737\t>\t1227283139675448228\n",
-      "   3 False\t1227283139675448228\t>\t59470657107694995\n",
-      "   2 True\t59470657107694995\t<\t8472830209409918535\n",
-      "   2 False\t8472830209409918535\t>\t4696241219860729776\n",
-      "   3 False\t4696241219860729776\t>\t1486339866546762325\n",
-      "   2 True\t1486339866546762325\t<\t3422377839816787445\n",
-      "   1 True\t3422377839816787445\t=\t3422377839816787445\n",
-      "   2 False\t3422377839816787445\t>\t420632515338526030\n",
-      "   3 False\t420632515338526030\t>\t179065662698090679\n",
-      "   4 False\t179065662698090679\t>\t88512719133183621\n",
-      "   2 True\t88512719133183621\t<\t1322320020874215700\n",
-      "   3 True\t1322320020874215700\t<\t4537503278804069885\n",
-      "   4 True\t4537503278804069885\t<\t8045232257216708142\n",
-      "   5 True\t8045232257216708142\t<\t9061275684908154785\n",
-      "   2 False\t9061275684908154785\t>\t6427996014683650392\n",
-      "   3 False\t6427996014683650392\t>\t30535637879330453\n",
-      "   2 True\t30535637879330453\t<\t3542826736469594662\n",
-      "   3 True\t3542826736469594662\t<\t8959584985712112505\n",
-      "   2 False\t8959584985712112505\t>\t8663490253918953362\n",
-      "   3 False\t8663490253918953362\t>\t2978900092654911246\n",
-      "   4 False\t2978900092654911246\t>\t2276875567272150416\n",
-      "   5 False\t2276875567272150416\t>\t1833812048026636823\n",
-      "   6 False\t1833812048026636823\t>\t1786305520927761439\n",
-      "   7 False\t1786305520927761439\t>\t1418923849060726055\n",
-      "   8 False\t1418923849060726055\t>\t330717402339990290\n",
-      "   9 False\t330717402339990290\t>\t186529605067564716\n",
-      "  10 False\t186529605067564716\t>\t89310391239382182\n",
-      "   2 True\t89310391239382182\t<\t8154034814380482361\n",
-      "   3 True\t8154034814380482361\t<\t9165032023596624486\n",
-      "   4 True\t9165032023596624486\t<\t9200035936949269656\n",
-      "   5 True\t9200035936949269656\t<\t9217542598104685216\n",
-      "   6 True\t9217542598104685216\t<\t9217548072191897806\n",
-      "   7 True\t9217548072191897806\t<\t9222308971799708045\n",
-      "   8 True\t9222308971799708045\t<\t9222890118427051397\n",
-      "   9 True\t9222890118427051397\t<\t9223010194490316408\n",
-      "   2 False\t9223010194490316408\t>\t4877704486136617605\n",
-      "   3 False\t4877704486136617605\t>\t690992066574757093\n",
-      "   4 False\t690992066574757093\t>\t506628663624129378\n",
-      "   5 False\t506628663624129378\t>\t395993342662349944\n",
-      "   2 True\t395993342662349944\t<\t733577817830241819\n",
-      "   2 False\t733577817830241819\t>\t573691647039527544\n",
-      "   3 False\t573691647039527544\t>\t268106197806604294\n",
-      "   2 True\t268106197806604294\t<\t2870093390907909683\n",
-      "   2 False\t2870093390907909683\t>\t2710274643406012563\n",
-      "   3 False\t2710274643406012563\t>\t1202287780162384337\n",
-      "   4 False\t1202287780162384337\t>\t704418237069897544\n",
-      "   5 False\t704418237069897544\t>\t529025871297154178\n",
-      "   6 False\t529025871297154178\t>\t479229188228735817\n",
-      "   2 True\t479229188228735817\t<\t9105085104932291842\n",
-      "   3 True\t9105085104932291842\t<\t9129777311753779468\n",
-      "   4 True\t9129777311753779468\t<\t9212546579924589893\n",
-      "   5 True\t9212546579924589893\t<\t9214314039182485082\n",
-      "   6 True\t9214314039182485082\t<\t9214721669333404045\n",
-      "   7 True\t9214721669333404045\t<\t9217893657200839847\n",
-      "   8 True\t9217893657200839847\t<\t9222427620873984615\n",
-      "   1 True\t9222427620873984615\t=\t9222427620873984615\n",
-      "   2 False\t9222427620873984615\t>\t7080989169361621935\n",
-      "   3 False\t7080989169361621935\t>\t3786459142697784313\n",
-      "   4 False\t3786459142697784313\t>\t2949332532868440448\n",
-      "   5 False\t2949332532868440448\t>\t1653430281029170411\n",
-      "   6 False\t1653430281029170411\t>\t747569624529547820\n",
-      "   7 False\t747569624529547820\t>\t578565069136272620\n",
-      "   2 True\t578565069136272620\t<\t3949656088878084045\n",
-      "   3 True\t3949656088878084045\t<\t5487780013795187719\n",
-      "   4 True\t5487780013795187719\t<\t5687513131991349623\n",
-      "   5 True\t5687513131991349623\t<\t8692398609734563996\n",
-      "   6 True\t8692398609734563996\t<\t8881723656134273162\n",
-      "   7 True\t8881723656134273162\t<\t8929645511768436980\n",
-      "   2 False\t8929645511768436980\t>\t1506091808057532990\n",
-      "   2 True\t1506091808057532990\t<\t9183568421723803275\n",
-      "   2 False\t9183568421723803275\t>\t7529522617732622246\n",
-      "   2 True\t7529522617732622246\t<\t8966646088925160910\n",
-      "   3 True\t8966646088925160910\t<\t9185946396249397414\n",
-      "   4 True\t9185946396249397414\t<\t9218997211763440628\n",
-      "   2 False\t9218997211763440628\t>\t1434229130294803799\n",
-      "   3 False\t1434229130294803799\t>\t672971371603257328\n",
-      "   4 False\t672971371603257328\t>\t629860069596427833\n",
-      "   5 False\t629860069596427833\t>\t100377934036087324\n",
-      "   6 False\t100377934036087324\t>\t15235355875176828\n",
-      "   2 True\t15235355875176828\t<\t4004246554116784105\n",
-      "   3 True\t4004246554116784105\t<\t8668391379117386218\n",
-      "   4 True\t8668391379117386218\t<\t8951539389796735749\n",
-      "   5 True\t8951539389796735749\t<\t9035066496382090279\n",
-      "   2 False\t9035066496382090279\t>\t3317948697835575920\n",
-      "   3 False\t3317948697835575920\t>\t2942764034592717117\n",
-      "   4 False\t2942764034592717117\t>\t996360740893878161\n",
-      "   2 True\t996360740893878161\t<\t1154045040093735659\n",
-      "   3 True\t1154045040093735659\t<\t7667561688303265074\n",
-      "   1 True\t7667561688303265074\t=\t7667561688303265074\n",
-      "   1 True\t7667561688303265074\t=\t7667561688303265074\n",
-      "   2 False\t7667561688303265074\t>\t2388462385334624093\n",
-      "   2 True\t2388462385334624093\t<\t8646211025156707937\n",
-      "   2 False\t8646211025156707937\t>\t6991980218445352940\n",
-      "   3 False\t6991980218445352940\t>\t5687225800357840808\n",
-      "   4 False\t5687225800357840808\t>\t5491059269804273640\n",
-      "   5 False\t5491059269804273640\t>\t1269194160790319558\n",
-      "   6 False\t1269194160790319558\t>\t1242646791827055849\n",
-      "   7 False\t1242646791827055849\t>\t982667500272224622\n",
-      "   8 False\t982667500272224622\t>\t815155644581589375\n",
-      "   9 False\t815155644581589375\t>\t31913066321379782\n",
-      "  10 False\t31913066321379782\t>\t16571154136424139\n",
-      "  11 False\t16571154136424139\t>\t11736141937691981\n",
-      "  12 False\t11736141937691981\t>\t4863652805150234\n",
-      "  13 False\t4863652805150234\t>\t848074506754106\n",
-      "  14 False\t848074506754106\t>\t236092183000203\n",
-      "  15 False\t236092183000203\t>\t97074705275397\n",
-      "  16 False\t97074705275397\t>\t45462551248396\n",
-      "   2 True\t45462551248396\t<\t2080364587303364082\n",
-      "   2 False\t2080364587303364082\t>\t82372490889351829\n",
-      "   3 False\t82372490889351829\t>\t6987193312945685\n",
-      "   4 False\t6987193312945685\t>\t4589931870734830\n",
-      "   5 False\t4589931870734830\t>\t4236346531518837\n",
-      "   6 False\t4236346531518837\t>\t2575757092162681\n",
-      "   1 False\t2575757092162681\t=\t2575757092162681\n",
-      "   2 True\t2575757092162681\t<\t2973188109661080439\n",
-      "   3 True\t2973188109661080439\t<\t3358036005091107031\n",
-      "   4 True\t3358036005091107031\t<\t8188526466593296140\n",
-      "   2 False\t8188526466593296140\t>\t4128046841444374579\n",
-      "   2 True\t4128046841444374579\t<\t8956678676122979112\n",
-      "   3 True\t8956678676122979112\t<\t9120174259583176567\n",
-      "   4 True\t9120174259583176567\t<\t9180701012656714407\n",
-      "   5 True\t9180701012656714407\t<\t9215090705590101642\n",
-      "   2 False\t9215090705590101642\t>\t3148778871099273399\n",
-      "   3 False\t3148778871099273399\t>\t70908591911223208\n",
-      "   4 False\t70908591911223208\t>\t68762135101051671\n",
-      "   5 False\t68762135101051671\t>\t46517479709376661\n",
-      "   2 True\t46517479709376661\t<\t6329093665467288999\n",
-      "   2 False\t6329093665467288999\t>\t1488902577405448724\n",
-      "   3 False\t1488902577405448724\t>\t1057498078637582793\n",
-      "   4 False\t1057498078637582793\t>\t392791841773836123\n",
-      "   1 False\t392791841773836123\t=\t392791841773836123\n",
-      "   2 True\t392791841773836123\t<\t1221547105438937860\n",
-      "   3 True\t1221547105438937860\t<\t6545922598722620488\n",
-      "   2 False\t6545922598722620488\t>\t5528190840250744291\n",
-      "   1 False\t5528190840250744291\t=\t5528190840250744291\n",
-      "   2 False\t5528190840250744291\t>\t271312789532416568\n",
-      "   3 False\t271312789532416568\t>\t86002842257246708\n",
-      "   4 False\t86002842257246708\t>\t17651344721511536\n",
-      "   5 False\t17651344721511536\t>\t14305083569347497\n",
-      "   6 False\t14305083569347497\t>\t11661338037033487\n",
-      "   2 True\t11661338037033487\t<\t1459075387935020666\n",
-      "   2 False\t1459075387935020666\t>\t880651889798446912\n",
-      "   3 False\t880651889798446912\t>\t696511430834543189\n",
-      "   4 False\t696511430834543189\t>\t319770193224001100\n",
-      "   5 False\t319770193224001100\t>\t167000416393877334\n",
-      "   2 True\t167000416393877334\t<\t5624614854538067131\n",
-      "   3 True\t5624614854538067131\t<\t7402894754719387747\n",
-      "   4 True\t7402894754719387747\t<\t7455940852541418571\n",
-      "   2 False\t7455940852541418571\t>\t6607565587623760850\n",
-      "   2 True\t6607565587623760850\t<\t8630476173824462542\n",
-      "   3 True\t8630476173824462542\t<\t8816283136657466868\n",
-      "   4 True\t8816283136657466868\t<\t8956033066484405290\n",
-      "   5 True\t8956033066484405290\t<\t8985898896652313986\n",
-      "   6 True\t8985898896652313986\t<\t9208552105291198407\n",
-      "   7 True\t9208552105291198407\t<\t9222043733225053143\n",
-      "   2 False\t9222043733225053143\t>\t80632944878361761\n",
-      "   2 True\t80632944878361761\t<\t8700979950539424017\n",
-      "   2 False\t8700979950539424017\t>\t5013232098327736042\n",
-      "   3 False\t5013232098327736042\t>\t3779154331297560779\n",
-      "   2 True\t3779154331297560779\t<\t5722657119398203219\n",
-      "   3 True\t5722657119398203219\t<\t6442222062291053203\n",
-      "   4 True\t6442222062291053203\t<\t7484010851434050793\n",
-      "   2 False\t7484010851434050793\t>\t7259668064316388360\n",
-      "   3 False\t7259668064316388360\t>\t3083347566341777415\n",
-      "   4 False\t3083347566341777415\t>\t1413182673765887137\n",
-      "   2 True\t1413182673765887137\t<\t3115104390416749553\n",
-      "   2 False\t3115104390416749553\t>\t2650194504866617108\n",
-      "   3 False\t2650194504866617108\t>\t1237399652030286572\n",
-      "   4 False\t1237399652030286572\t>\t1053699881375321805\n",
-      "   5 False\t1053699881375321805\t>\t438594770096810405\n",
-      "   6 False\t438594770096810405\t>\t232335671657529733\n",
-      "   7 False\t232335671657529733\t>\t115661804574469376\n",
-      "   8 False\t115661804574469376\t>\t46897187482767783\n",
-      "   9 False\t46897187482767783\t>\t35758050724371562\n",
-      "   2 True\t35758050724371562\t<\t1227930953769939536\n",
-      "   3 True\t1227930953769939536\t<\t6891794265380193971\n",
-      "   4 True\t6891794265380193971\t<\t8679812112473371986\n",
-      "   2 False\t8679812112473371986\t>\t7456991902765398662\n",
-      "   3 False\t7456991902765398662\t>\t7440604512042516950\n",
-      "   2 True\t7440604512042516950\t<\t8454760710410399601\n",
-      "   3 True\t8454760710410399601\t<\t8572060145102597042\n",
-      "   2 False\t8572060145102597042\t>\t2857051489841808073\n",
-      "   3 False\t2857051489841808073\t>\t739472868435642766\n",
-      "   4 False\t739472868435642766\t>\t222641534356573108\n",
-      "   2 True\t222641534356573108\t<\t5301466708932306213\n",
-      "   3 True\t5301466708932306213\t<\t8479802603677137414\n",
-      "   4 True\t8479802603677137414\t<\t8585701896922373949\n",
-      "   5 True\t8585701896922373949\t<\t8824502290319704934\n",
-      "   6 True\t8824502290319704934\t<\t9088805622187775127\n",
-      "   7 True\t9088805622187775127\t<\t9179745276604106897\n",
-      "   8 True\t9179745276604106897\t<\t9188256092321839443\n",
-      "   9 True\t9188256092321839443\t<\t9220370253960403248\n",
-      "   2 False\t9220370253960403248\t>\t4904523939581069669\n",
-      "   3 False\t4904523939581069669\t>\t1105982606639868592\n",
-      "   4 False\t1105982606639868592\t>\t1084628557813647937\n",
-      "   5 False\t1084628557813647937\t>\t77733837658950526\n",
-      "   1 False\t77733837658950526\t=\t77733837658950526\n",
-      "   2 False\t77733837658950526\t>\t29972481901492191\n",
-      "   2 True\t29972481901492191\t<\t8626623458716287719\n",
-      "   3 True\t8626623458716287719\t<\t9153786285160298973\n",
-      "   4 True\t9153786285160298973\t<\t9164856621978696542\n",
-      "   2 False\t9164856621978696542\t>\t743982116516656837\n",
-      "   3 False\t743982116516656837\t>\t516521703805716600\n",
-      "   4 False\t516521703805716600\t>\t194850886579890822\n",
-      "   5 False\t194850886579890822\t>\t165922076368231695\n",
-      "   6 False\t165922076368231695\t>\t145661179666909209\n",
-      "   7 False\t145661179666909209\t>\t103710862611990813\n",
-      "   2 True\t103710862611990813\t<\t6094741782695307894\n",
-      "   3 True\t6094741782695307894\t<\t8633168329766190482\n",
-      "   4 True\t8633168329766190482\t<\t8898255285711575670\n",
-      "   5 True\t8898255285711575670\t<\t9099993971060658199\n",
-      "   6 True\t9099993971060658199\t<\t9116715753428314235\n",
-      "   7 True\t9116715753428314235\t<\t9127026791735345706\n",
-      "   8 True\t9127026791735345706\t<\t9160722506656994563\n",
-      "   9 True\t9160722506656994563\t<\t9209114277665510506\n",
-      "   2 False\t9209114277665510506\t>\t6207667437450634657\n",
-      "   3 False\t6207667437450634657\t>\t4408177596818632364\n",
-      "   4 False\t4408177596818632364\t>\t2797857118086162257\n",
-      "   2 True\t2797857118086162257\t<\t2849104840826146451\n",
-      "   3 True\t2849104840826146451\t<\t6086012128316531615\n",
-      "   2 False\t6086012128316531615\t>\t1834331974036945532\n",
-      "   3 False\t1834331974036945532\t>\t1682310389436592641\n",
-      "   4 False\t1682310389436592641\t>\t1284379603424884819\n",
-      "   5 False\t1284379603424884819\t>\t653834940506917233\n",
-      "   6 False\t653834940506917233\t>\t631263029797119344\n",
-      "   2 True\t631263029797119344\t<\t2425358883398068367\n",
-      "   3 True\t2425358883398068367\t<\t6239016829201476685\n",
-      "   4 True\t6239016829201476685\t<\t8275211740552434064\n",
-      "   5 True\t8275211740552434064\t<\t9204630376913188203\n",
-      "   6 True\t9204630376913188203\t<\t9212919430378426164\n",
-      "   7 True\t9212919430378426164\t<\t9220598416254816910\n",
-      "   8 True\t9220598416254816910\t<\t9221858391024147279\n",
-      "   9 True\t9221858391024147279\t<\t9222750178030246903\n",
-      "  10 True\t9222750178030246903\t<\t9223270153688396957\n",
-      "  11 True\t9223270153688396957\t<\t9223288412508203448\n",
-      "  12 True\t9223288412508203448\t<\t9223301626676351883\n",
-      "   2 False\t9223301626676351883\t>\t2083040259089068004\n",
-      "   3 False\t2083040259089068004\t>\t1011935470463392103\n",
-      "   4 False\t1011935470463392103\t>\t61281952949582924\n",
-      "   5 False\t61281952949582924\t>\t39892452424531500\n",
-      "   6 False\t39892452424531500\t>\t23587432852832727\n",
-      "   7 False\t23587432852832727\t>\t2763750519188887\n",
-      "   8 False\t2763750519188887\t>\t1718417091673380\n",
-      "   2 True\t1718417091673380\t<\t3943542254154970033\n",
-      "   2 False\t3943542254154970033\t>\t3277717509788217057\n",
-      "   3 False\t3277717509788217057\t>\t1985449332802192173\n",
-      "   4 False\t1985449332802192173\t>\t764898546051080775\n",
-      "   5 False\t764898546051080775\t>\t326660225408979116\n",
-      "   6 False\t326660225408979116\t>\t192478641787688208\n",
-      "   2 True\t192478641787688208\t<\t4165838382252727414\n",
-      "   3 True\t4165838382252727414\t<\t7523412680686954224\n",
-      "   4 True\t7523412680686954224\t<\t8012144443207962780\n",
-      "   5 True\t8012144443207962780\t<\t8973121905020698723\n",
-      "   6 True\t8973121905020698723\t<\t9203744426709754441\n",
-      "   2 False\t9203744426709754441\t>\t2765221122042102805\n",
-      "   2 True\t2765221122042102805\t<\t8702602915070702630\n",
-      "   2 False\t8702602915070702630\t>\t4612649774593226916\n",
-      "   3 False\t4612649774593226916\t>\t2845790618463408328\n",
-      "   4 False\t2845790618463408328\t>\t1942528575984845909\n",
-      "   5 False\t1942528575984845909\t>\t957692011169124403\n",
-      "   6 False\t957692011169124403\t>\t463467115150542248\n",
-      "   7 False\t463467115150542248\t>\t192354093249033571\n",
-      "   2 True\t192354093249033571\t<\t1630183613648744456\n",
-      "   2 False\t1630183613648744456\t>\t1433204966090616616\n",
-      "   2 True\t1433204966090616616\t<\t5017565182512088699\n",
-      "   3 True\t5017565182512088699\t<\t7712290401642514651\n",
-      "   2 False\t7712290401642514651\t>\t6303213391735609002\n",
-      "   3 False\t6303213391735609002\t>\t4788129243329771879\n",
-      "   4 False\t4788129243329771879\t>\t2487364454269174793\n",
-      "   5 False\t2487364454269174793\t>\t136042281239064291\n",
-      "   6 False\t136042281239064291\t>\t104510384269132191\n",
-      "   2 True\t104510384269132191\t<\t5492833591431969412\n",
-      "   2 False\t5492833591431969412\t>\t4890431856848812833\n",
-      "   2 True\t4890431856848812833\t<\t8108371065361292047\n",
-      "   3 True\t8108371065361292047\t<\t8461356349072962779\n",
-      "   2 False\t8461356349072962779\t>\t7151090696228295102\n",
-      "   3 False\t7151090696228295102\t>\t884434372536677049\n",
-      "   2 True\t884434372536677049\t<\t2194459950947267089\n",
-      "   3 True\t2194459950947267089\t<\t7776149810497023223\n",
-      "   1 True\t7776149810497023223\t=\t7776149810497023223\n",
-      "   2 True\t7776149810497023223\t<\t7880050710298755901\n",
-      "   3 True\t7880050710298755901\t<\t8119834928541218182\n",
-      "   4 True\t8119834928541218182\t<\t8649887280645525015\n",
-      "   1 True\t8649887280645525015\t=\t8649887280645525015\n",
-      "   2 True\t8649887280645525015\t<\t9119319596709228885\n",
-      "   2 False\t9119319596709228885\t>\t1998791075117923639\n",
-      "   3 False\t1998791075117923639\t>\t872598391109359751\n",
-      "   4 False\t872598391109359751\t>\t840788808207240875\n",
-      "   2 True\t840788808207240875\t<\t2055139684549169646\n",
-      "   3 True\t2055139684549169646\t<\t4920817665938752508\n",
-      "   2 False\t4920817665938752508\t>\t1500989760264417308\n",
-      "   3 False\t1500989760264417308\t>\t176979881748623098\n",
-      "   4 False\t176979881748623098\t>\t86413701896901883\n",
-      "   5 False\t86413701896901883\t>\t81726578817492685\n",
-      "   6 False\t81726578817492685\t>\t60927440965416929\n",
-      "   2 True\t60927440965416929\t<\t2245668618760635805\n",
-      "   3 True\t2245668618760635805\t<\t8045383477658209207\n",
-      "   4 True\t8045383477658209207\t<\t8701357523213196672\n",
-      "   5 True\t8701357523213196672\t<\t8928975757425411977\n",
-      "   2 False\t8928975757425411977\t>\t1519970677906076585\n",
-      "   3 False\t1519970677906076585\t>\t584805070626748400\n",
-      "   2 True\t584805070626748400\t<\t8133329584766702998\n",
-      "   2 False\t8133329584766702998\t>\t4170556143744387638\n",
-      "   3 False\t4170556143744387638\t>\t2640850116142077331\n",
-      "   4 False\t2640850116142077331\t>\t1175866722305966878\n",
-      "   5 False\t1175866722305966878\t>\t1043701255187867340\n",
-      "   6 False\t1043701255187867340\t>\t86176384959898560\n",
-      "   7 False\t86176384959898560\t>\t66820534991413022\n",
-      "   8 False\t66820534991413022\t>\t66693620024665529\n",
-      "   9 False\t66693620024665529\t>\t56527276230262140\n",
-      "  10 False\t56527276230262140\t>\t35549193841258178\n",
-      "  11 False\t35549193841258178\t>\t13035870735212534\n",
-      "   1 False\t13035870735212534\t=\t13035870735212534\n",
-      "   2 True\t13035870735212534\t<\t735267963997079552\n",
-      "   2 False\t735267963997079552\t>\t561571610053848572\n",
-      "   3 False\t561571610053848572\t>\t442604220054201361\n",
-      "   1 False\t442604220054201361\t=\t442604220054201361\n",
-      "   2 False\t442604220054201361\t>\t375685498423542442\n",
-      "   3 False\t375685498423542442\t>\t364358513620465523\n",
-      "   4 False\t364358513620465523\t>\t30265409476149188\n",
-      "   5 False\t30265409476149188\t>\t5315377018460134\n",
-      "   2 True\t5315377018460134\t<\t8846468821880048715\n",
-      "   3 True\t8846468821880048715\t<\t9073019246025366369\n",
-      "   4 True\t9073019246025366369\t<\t9201688681428919283\n",
-      "   5 True\t9201688681428919283\t<\t9210681974436937639\n",
-      "   2 False\t9210681974436937639\t>\t4455107821014257595\n",
-      "   3 False\t4455107821014257595\t>\t2215702846437593608\n",
-      "   4 False\t2215702846437593608\t>\t1169947580425280690\n",
-      "   5 False\t1169947580425280690\t>\t912099668142223330\n",
-      "   6 False\t912099668142223330\t>\t73236903278973561\n",
-      "   2 True\t73236903278973561\t<\t4830723560460535208\n",
-      "   2 False\t4830723560460535208\t>\t443526276576446545\n",
-      "   2 True\t443526276576446545\t<\t8686152654551209306\n",
-      "   3 True\t8686152654551209306\t<\t8913763498360027077\n",
-      "   4 True\t8913763498360027077\t<\t9131148066044074558\n",
-      "   5 True\t9131148066044074558\t<\t9158851557252417915\n",
-      "   6 True\t9158851557252417915\t<\t9175269056002511455\n",
-      "   7 True\t9175269056002511455\t<\t9208136258075062756\n",
-      "   2 False\t9208136258075062756\t>\t8047691637643102677\n",
-      "   3 False\t8047691637643102677\t>\t6147209921228437518\n",
-      "   2 True\t6147209921228437518\t<\t7245602330950524717\n",
-      "   2 False\t7245602330950524717\t>\t5655788007594284892\n",
-      "   3 False\t5655788007594284892\t>\t1676708006943572649\n",
-      "   4 False\t1676708006943572649\t>\t91044779251767524\n",
-      "   5 False\t91044779251767524\t>\t77647164657733691\n",
-      "   6 False\t77647164657733691\t>\t17226908851055864\n",
-      "   7 False\t17226908851055864\t>\t10447892952728567\n",
-      "   8 False\t10447892952728567\t>\t884289972401286\n",
-      "   9 False\t884289972401286\t>\t228644029161968\n",
-      "   2 True\t228644029161968\t<\t6851970130869452852\n",
-      "   2 False\t6851970130869452852\t>\t1842866696013935699\n",
-      "   1 False\t1842866696013935699\t=\t1842866696013935699\n",
-      "   2 True\t1842866696013935699\t<\t5473204616071851430\n",
-      "   3 True\t5473204616071851430\t<\t8551958616193750100\n",
-      "   4 True\t8551958616193750100\t<\t8822341282253401843\n",
-      "   5 True\t8822341282253401843\t<\t9030343841679035166\n",
-      "   2 False\t9030343841679035166\t>\t4619379727881014387\n",
-      "   2 True\t4619379727881014387\t<\t9041585713512006306\n",
-      "   2 False\t9041585713512006306\t>\t7979715109650527917\n",
-      "   3 False\t7979715109650527917\t>\t604492668430289091\n",
-      "   4 False\t604492668430289091\t>\t372832542596559699\n",
-      "   2 True\t372832542596559699\t<\t2137508586788474025\n",
-      "   2 False\t2137508586788474025\t>\t335410788425898828\n",
-      "   3 False\t335410788425898828\t>\t88705258933141596\n",
-      "   4 False\t88705258933141596\t>\t14352009871729195\n",
-      "   5 False\t14352009871729195\t>\t480167964398398\n",
-      "   2 True\t480167964398398\t<\t1023786302908483069\n",
-      "   2 False\t1023786302908483069\t>\t693119291659164095\n",
-      "   2 True\t693119291659164095\t<\t773428527020539794\n",
-      "   3 True\t773428527020539794\t<\t5107125368780176601\n",
-      "   4 True\t5107125368780176601\t<\t8756142246467278521\n",
-      "   2 False\t8756142246467278521\t>\t367752742443714152\n",
-      "   3 False\t367752742443714152\t>\t69946259248735565\n",
-      "   4 False\t69946259248735565\t>\t59078590193791115\n",
-      "   5 False\t59078590193791115\t>\t37360328416113525\n",
-      "   6 False\t37360328416113525\t>\t8199810724861334\n",
-      "   7 False\t8199810724861334\t>\t8125503867878994\n",
-      "   8 False\t8125503867878994\t>\t1612496184520485\n",
-      "   9 False\t1612496184520485\t>\t574428950745116\n",
-      "  10 False\t574428950745116\t>\t81540618236292\n",
-      "  11 False\t81540618236292\t>\t38330519626012\n",
-      "  12 False\t38330519626012\t>\t15407529170590\n",
-      "   1 False\t15407529170590\t=\t15407529170590\n",
-      "   2 False\t15407529170590\t>\t5154200961581\n",
-      "   2 True\t5154200961581\t<\t5278217019278229099\n",
-      "   1 True\t5278217019278229099\t=\t5278217019278229099\n",
-      "   2 False\t5278217019278229099\t>\t5197463664476845008\n",
-      "   3 False\t5197463664476845008\t>\t2202245467998013899\n",
-      "   2 True\t2202245467998013899\t<\t2530671057457418505\n",
-      "   2 False\t2530671057457418505\t>\t2167042430339819199\n",
-      "   3 False\t2167042430339819199\t>\t362489236776604005\n",
-      "   4 False\t362489236776604005\t>\t99423728489717059\n",
-      "   5 False\t99423728489717059\t>\t37451234751480417\n",
-      "   6 False\t37451234751480417\t>\t37063198270870573\n",
-      "   7 False\t37063198270870573\t>\t13546322447962703\n",
-      "   8 False\t13546322447962703\t>\t2580783951472568\n",
-      "   2 True\t2580783951472568\t<\t2259646138080560562\n",
-      "   3 True\t2259646138080560562\t<\t5779491383021533116\n",
-      "   2 False\t5779491383021533116\t>\t3893213978494822167\n",
-      "   2 True\t3893213978494822167\t<\t6947106257945679394\n",
-      "   3 True\t6947106257945679394\t<\t8601889028490863172\n",
-      "   4 True\t8601889028490863172\t<\t9112540639109978334\n",
-      "   5 True\t9112540639109978334\t<\t9159940012223745091\n",
-      "   6 True\t9159940012223745091\t<\t9162151219736677251\n",
-      "   7 True\t9162151219736677251\t<\t9209127047449473718\n",
-      "   8 True\t9209127047449473718\t<\t9211015617164190795\n",
-      "   9 True\t9211015617164190795\t<\t9217258083787929038\n",
-      "  10 True\t9217258083787929038\t<\t9219712494489824212\n",
-      "  11 True\t9219712494489824212\t<\t9222363898123662391\n",
-      "   2 False\t9222363898123662391\t>\t4456828218759638627\n",
-      "   2 True\t4456828218759638627\t<\t8042387081604214537\n",
-      "   2 False\t8042387081604214537\t>\t6113718696554571562\n",
-      "   3 False\t6113718696554571562\t>\t2301687850598372861\n",
-      "   4 False\t2301687850598372861\t>\t488655087474417688\n",
-      "   5 False\t488655087474417688\t>\t110848160737267650\n",
-      "   6 False\t110848160737267650\t>\t61382010815174106\n",
-      "   7 False\t61382010815174106\t>\t31807004262098379\n",
-      "   2 True\t31807004262098379\t<\t5078110504100650034\n",
-      "   2 False\t5078110504100650034\t>\t80044419673204641\n",
-      "   3 False\t80044419673204641\t>\t15475572568518534\n",
-      "   1 False\t15475572568518534\t=\t15475572568518534\n",
-      "   2 False\t15475572568518534\t>\t854693351972612\n",
-      "   2 True\t854693351972612\t<\t4705390325330962505\n",
-      "   3 True\t4705390325330962505\t<\t7595372102194428587\n",
-      "   4 True\t7595372102194428587\t<\t7771634124039240684\n",
-      "   5 True\t7771634124039240684\t<\t8611471144208133976\n",
-      "   6 True\t8611471144208133976\t<\t9182745125403243792\n",
-      "   7 True\t9182745125403243792\t<\t9213979031351627806\n",
-      "   8 True\t9213979031351627806\t<\t9218753249144193513\n",
-      "   1 True\t9218753249144193513\t=\t9218753249144193513\n",
-      "   2 True\t9218753249144193513\t<\t9223015176348070728\n",
-      "   3 True\t9223015176348070728\t<\t9223150353808656621\n",
-      "   4 True\t9223150353808656621\t<\t9223336802212041680\n",
-      "   5 True\t9223336802212041680\t<\t9223345180363719654\n",
-      "   2 False\t9223345180363719654\t>\t3011050869988943288\n",
-      "   3 False\t3011050869988943288\t>\t2774581606372715728\n",
-      "   4 False\t2774581606372715728\t>\t2566627089342595969\n",
-      "   5 False\t2566627089342595969\t>\t2084090263781596180\n",
-      "   6 False\t2084090263781596180\t>\t1716956583676646728\n",
-      "   2 True\t1716956583676646728\t<\t4218908820091870135\n",
-      "   1 True\t4218908820091870135\t=\t4218908820091870135\n",
-      "   2 False\t4218908820091870135\t>\t4143096748222019005\n",
-      "   2 True\t4143096748222019005\t<\t8391324351976591758\n",
-      "   3 True\t8391324351976591758\t<\t8553810608856912364\n",
-      "   2 False\t8553810608856912364\t>\t8035250165875681805\n",
-      "   2 True\t8035250165875681805\t<\t8140007729544184633\n",
-      "   2 False\t8140007729544184633\t>\t6253297974931844763\n",
-      "   3 False\t6253297974931844763\t>\t1992074695786903407\n",
-      "   4 False\t1992074695786903407\t>\t1442338530858471215\n",
-      "   5 False\t1442338530858471215\t>\t662436272380441391\n",
-      "   6 False\t662436272380441391\t>\t219445766133961742\n",
-      "   7 False\t219445766133961742\t>\t41635917895139615\n",
-      "   2 True\t41635917895139615\t<\t8520979475597715332\n",
-      "   3 True\t8520979475597715332\t<\t8535732215641679436\n",
-      "   4 True\t8535732215641679436\t<\t9184141403777263166\n",
-      "   5 True\t9184141403777263166\t<\t9222920126973897697\n",
-      "   6 True\t9222920126973897697\t<\t9222996491547733354\n",
-      "   7 True\t9222996491547733354\t<\t9223246654651793473\n",
-      "   8 True\t9223246654651793473\t<\t9223354105088945921\n",
-      "   1 True\t9223354105088945921\t=\t9223354105088945921\n",
-      "   1 True\t9223354105088945921\t=\t9223354105088945921\n",
-      "   2 True\t9223354105088945921\t<\t9223368003627237377\n",
-      "   2 False\t9223368003627237377\t>\t8629106089635722478\n",
-      "   1 False\t8629106089635722478\t=\t8629106089635722478\n",
-      "   2 True\t8629106089635722478\t<\t8814763928441591405\n",
-      "   3 True\t8814763928441591405\t<\t9098517063555044892\n",
-      "   2 False\t9098517063555044892\t>\t4447154998244830200\n",
-      "   3 False\t4447154998244830200\t>\t2606554886552098854\n",
-      "   4 False\t2606554886552098854\t>\t1463345011612688879\n",
-      "   2 True\t1463345011612688879\t<\t2507192566086831449\n",
-      "   3 True\t2507192566086831449\t<\t6384755768277268515\n",
-      "   4 True\t6384755768277268515\t<\t7235629344903773376\n",
-      "   5 True\t7235629344903773376\t<\t9109400031324850437\n",
-      "   6 True\t9109400031324850437\t<\t9187537863625158834\n",
-      "   7 True\t9187537863625158834\t<\t9199305721722876522\n",
-      "   8 True\t9199305721722876522\t<\t9204019941344837983\n",
-      "   9 True\t9204019941344837983\t<\t9220167420043533163\n",
-      "  10 True\t9220167420043533163\t<\t9221003133716045680\n",
-      "  11 True\t9221003133716045680\t<\t9221083296975249809\n",
-      "  12 True\t9221083296975249809\t<\t9221792200602743138\n",
-      "  13 True\t9221792200602743138\t<\t9222293536702516275\n",
-      "   2 False\t9222293536702516275\t>\t2155223511170276776\n",
-      "   3 False\t2155223511170276776\t>\t286336572918842927\n",
-      "   2 True\t286336572918842927\t<\t3131483274259308518\n",
-      "   3 True\t3131483274259308518\t<\t5181154646205736310\n",
-      "   2 False\t5181154646205736310\t>\t993579085337615457\n",
-      "   3 False\t993579085337615457\t>\t593394662566558950\n",
-      "   4 False\t593394662566558950\t>\t191110071813886852\n",
-      "   2 True\t191110071813886852\t<\t3945118031586779692\n",
-      "   3 True\t3945118031586779692\t<\t7848520831627845324\n",
-      "   4 True\t7848520831627845324\t<\t9139138013740492979\n",
-      "   5 True\t9139138013740492979\t<\t9172631364199433277\n",
-      "   6 True\t9172631364199433277\t<\t9207448845356966817\n",
-      "   2 False\t9207448845356966817\t>\t6737519018298017427\n",
-      "   3 False\t6737519018298017427\t>\t5229439175203401463\n",
-      "   4 False\t5229439175203401463\t>\t4331074491664117353\n",
-      "   2 True\t4331074491664117353\t<\t7211621952649866047\n",
-      "   2 False\t7211621952649866047\t>\t3620933629614664249\n",
-      "   1 False\t3620933629614664249\t=\t3620933629614664249\n",
-      "   2 False\t3620933629614664249\t>\t697596317950117900\n",
-      "   3 False\t697596317950117900\t>\t239637351688969662\n",
-      "   4 False\t239637351688969662\t>\t233411755973542955\n",
-      "   2 True\t233411755973542955\t<\t939317657928237222\n",
-      "   3 True\t939317657928237222\t<\t8890972998816462011\n",
-      "   2 False\t8890972998816462011\t>\t4989963437534119869\n",
-      "   2 True\t4989963437534119869\t<\t6508554882628007550\n",
-      "   3 True\t6508554882628007550\t<\t6619406003615659739\n",
-      "   2 False\t6619406003615659739\t>\t3081546217348487566\n",
-      "   3 False\t3081546217348487566\t>\t201641926381921206\n",
-      "   2 True\t201641926381921206\t<\t5762298975939846230\n",
-      "   1 True\t5762298975939846230\t=\t5762298975939846230\n",
-      "   2 False\t5762298975939846230\t>\t3656340295759740671\n",
-      "   3 False\t3656340295759740671\t>\t1987445021857672965\n",
-      "   4 False\t1987445021857672965\t>\t992802862674534241\n",
-      "   5 False\t992802862674534241\t>\t777156471499455625\n",
-      "   6 False\t777156471499455625\t>\t165788543829148197\n",
-      "   7 False\t165788543829148197\t>\t50143634513100623\n",
-      "   2 True\t50143634513100623\t<\t7325826218302324799\n",
-      "   3 True\t7325826218302324799\t<\t8407719392995215079\n",
-      "   1 True\t8407719392995215079\t=\t8407719392995215079\n",
-      "   2 True\t8407719392995215079\t<\t8764233020094483329\n",
-      "   3 True\t8764233020094483329\t<\t9200677487497912454\n",
-      "   2 False\t9200677487497912454\t>\t6664693302625736906\n",
-      "   2 True\t6664693302625736906\t<\t8512459310161884291\n",
-      "   3 True\t8512459310161884291\t<\t8858932542311532759\n",
-      "   2 False\t8858932542311532759\t>\t8270771201546155631\n",
-      "   3 False\t8270771201546155631\t>\t3650616601392603520\n",
-      "   4 False\t3650616601392603520\t>\t849469912331899896\n",
-      "   5 False\t849469912331899896\t>\t211519399944886609\n",
-      "   2 True\t211519399944886609\t<\t9147267736526740929\n",
-      "   3 True\t9147267736526740929\t<\t9176251190943702296\n",
-      "   4 True\t9176251190943702296\t<\t9219439525884534039\n",
-      "   5 True\t9219439525884534039\t<\t9220344766538640244\n",
-      "   2 False\t9220344766538640244\t>\t673379196953804084\n",
-      "   3 False\t673379196953804084\t>\t535831577628096625\n",
-      "   2 True\t535831577628096625\t<\t2116698700699203432\n",
-      "   2 False\t2116698700699203432\t>\t759757887916154281\n",
-      "   3 False\t759757887916154281\t>\t531098901118061351\n",
-      "   2 True\t531098901118061351\t<\t6542847249562054321\n",
-      "   3 True\t6542847249562054321\t<\t8603516696037067979\n",
-      "   4 True\t8603516696037067979\t<\t9139079863919716953\n",
-      "   2 False\t9139079863919716953\t>\t6646070872722818180\n",
-      "   3 False\t6646070872722818180\t>\t3283000007035689919\n",
-      "   4 False\t3283000007035689919\t>\t1777613357223105405\n",
-      "   5 False\t1777613357223105405\t>\t1362781896098835502\n",
-      "   6 False\t1362781896098835502\t>\t1076091571286362246\n",
-      "   2 True\t1076091571286362246\t<\t4926158982219378366\n",
-      "   2 False\t4926158982219378366\t>\t2974331946178787959\n",
-      "   3 False\t2974331946178787959\t>\t902099528810298308\n",
-      "   4 False\t902099528810298308\t>\t599506559337420410\n",
-      "   2 True\t599506559337420410\t<\t4428338759424382375\n",
-      "   2 False\t4428338759424382375\t>\t3725180696974140752\n",
-      "   3 False\t3725180696974140752\t>\t15281731608410127\n",
-      "   4 False\t15281731608410127\t>\t5138342241775065\n",
-      "   5 False\t5138342241775065\t>\t1712636160074990\n",
-      "   6 False\t1712636160074990\t>\t966507970248994\n",
-      "   7 False\t966507970248994\t>\t442809363677564\n",
-      "   2 True\t442809363677564\t<\t6047465086322040757\n",
-      "   3 True\t6047465086322040757\t<\t8852625337612635893\n",
-      "   4 True\t8852625337612635893\t<\t9206005975951993223\n",
-      "   2 False\t9206005975951993223\t>\t7271809508337668344\n",
-      "   3 False\t7271809508337668344\t>\t2719223257980627930\n",
-      "   2 True\t2719223257980627930\t<\t4770733061454692156\n",
-      "   3 True\t4770733061454692156\t<\t8262833744936558649\n",
-      "   4 True\t8262833744936558649\t<\t8781329992889848477\n",
-      "   5 True\t8781329992889848477\t<\t9035474187204123598\n",
-      "   6 True\t9035474187204123598\t<\t9042588603102937512\n",
-      "   7 True\t9042588603102937512\t<\t9176576712683482033\n",
-      "   8 True\t9176576712683482033\t<\t9180789613427917501\n",
-      "   9 True\t9180789613427917501\t<\t9202692605065655767\n",
-      "  10 True\t9202692605065655767\t<\t9203376826980697606\n",
-      "  11 True\t9203376826980697606\t<\t9212164584860543737\n",
-      "  12 True\t9212164584860543737\t<\t9213204488340986959\n",
-      "  13 True\t9213204488340986959\t<\t9218556887682334882\n",
-      "  14 True\t9218556887682334882\t<\t9220940571130193591\n",
-      "  15 True\t9220940571130193591\t<\t9222438762771425428\n",
-      "   2 False\t9222438762771425428\t>\t5070497499849684277\n",
-      "   3 False\t5070497499849684277\t>\t1545984543904542772\n",
-      "   4 False\t1545984543904542772\t>\t175160306531764223\n",
-      "   2 True\t175160306531764223\t<\t2770621750219199005\n",
-      "   2 False\t2770621750219199005\t>\t981826469257160510\n",
-      "   3 False\t981826469257160510\t>\t508491382011894151\n",
-      "   2 True\t508491382011894151\t<\t6383934480009716685\n",
-      "   3 True\t6383934480009716685\t<\t9157387016651924165\n",
-      "   4 True\t9157387016651924165\t<\t9165346524225213230\n",
-      "   1 True\t9165346524225213230\t=\t9165346524225213230\n",
-      "   2 False\t9165346524225213230\t>\t6947252596222464741\n",
-      "   3 False\t6947252596222464741\t>\t4691405086668492582\n",
-      "   4 False\t4691405086668492582\t>\t2892952288584472468\n",
-      "   5 False\t2892952288584472468\t>\t850368637981963626\n",
-      "   6 False\t850368637981963626\t>\t452151054293553179\n",
-      "   7 False\t452151054293553179\t>\t443462303606850896\n",
-      "   2 True\t443462303606850896\t<\t8156740284292960514\n",
-      "   3 True\t8156740284292960514\t<\t8416660866832781627\n",
-      "   4 True\t8416660866832781627\t<\t8954747172564122472\n",
-      "   2 False\t8954747172564122472\t>\t8097688809343158112\n",
-      "   3 False\t8097688809343158112\t>\t1362856700374836492\n",
-      "   4 False\t1362856700374836492\t>\t1198414074050029478\n",
-      "   5 False\t1198414074050029478\t>\t691719146423029358\n",
-      "   2 True\t691719146423029358\t<\t7366041222639714326\n",
-      "   3 True\t7366041222639714326\t<\t7980899986782030788\n",
-      "   2 False\t7980899986782030788\t>\t4659081018314167377\n",
-      "   3 False\t4659081018314167377\t>\t4600634511825279738\n",
-      "   4 False\t4600634511825279738\t>\t1230744162901346523\n",
-      "   2 True\t1230744162901346523\t<\t3641009923157338011\n",
-      "   2 False\t3641009923157338011\t>\t1020775390212045624\n",
-      "   3 False\t1020775390212045624\t>\t760872960268710495\n",
-      "   2 True\t760872960268710495\t<\t7434955681414632756\n",
-      "   3 True\t7434955681414632756\t<\t8156138520357472784\n",
-      "   4 True\t8156138520357472784\t<\t8645287527866045950\n",
-      "   5 True\t8645287527866045950\t<\t8801851214876813616\n",
-      "   6 True\t8801851214876813616\t<\t9044109702937601535\n",
-      "   2 False\t9044109702937601535\t>\t8924692848880195588\n",
-      "   3 False\t8924692848880195588\t>\t379108491586705937\n",
-      "   4 False\t379108491586705937\t>\t36931942041865184\n",
-      "   5 False\t36931942041865184\t>\t7500261490814595\n",
-      "   6 False\t7500261490814595\t>\t3350228157917515\n",
-      "   7 False\t3350228157917515\t>\t3231350101439379\n",
-      "   8 False\t3231350101439379\t>\t2798673751039420\n",
-      "   9 False\t2798673751039420\t>\t1390503341196888\n",
-      "  10 False\t1390503341196888\t>\t81843760508950\n",
-      "   2 True\t81843760508950\t<\t7153877494054758827\n",
-      "   2 False\t7153877494054758827\t>\t934366407727913025\n",
-      "   2 True\t934366407727913025\t<\t5703368378424685206\n",
-      "   3 True\t5703368378424685206\t<\t8498837026025205736\n",
-      "   4 True\t8498837026025205736\t<\t8992229666969867421\n",
-      "   5 True\t8992229666969867421\t<\t9175702605743826483\n",
-      "   1 True\t9175702605743826483\t=\t9175702605743826483\n",
-      "   2 True\t9175702605743826483\t<\t9206091543890819390\n",
-      "   2 False\t9206091543890819390\t>\t2256572949041592742\n",
-      "   3 False\t2256572949041592742\t>\t1693003211356445633\n",
-      "   2 True\t1693003211356445633\t<\t5248277801250912614\n",
-      "   2 False\t5248277801250912614\t>\t417496880729295369\n",
-      "   2 True\t417496880729295369\t<\t3349683052503143037\n",
-      "   3 True\t3349683052503143037\t<\t5933329137276479753\n",
-      "   2 False\t5933329137276479753\t>\t4183972889753147272\n",
-      "   3 False\t4183972889753147272\t>\t1161280622880140071\n",
-      "   4 False\t1161280622880140071\t>\t955257544979249588\n",
-      "   2 True\t955257544979249588\t<\t3265216036407528264\n",
-      "   3 True\t3265216036407528264\t<\t4198180023150578440\n",
-      "   2 False\t4198180023150578440\t>\t3164186416560240827\n",
-      "   3 False\t3164186416560240827\t>\t762548003944308002\n",
-      "   2 True\t762548003944308002\t<\t1107619835953299649\n",
-      "   2 False\t1107619835953299649\t>\t36525404334713463\n",
-      "   3 False\t36525404334713463\t>\t1047535424379491\n",
-      "   4 False\t1047535424379491\t>\t619492549123396\n",
-      "   5 False\t619492549123396\t>\t335012875458794\n",
-      "   2 True\t335012875458794\t<\t2275801262555124773\n",
-      "   3 True\t2275801262555124773\t<\t6528310198238870640\n",
-      "   4 True\t6528310198238870640\t<\t9200898773523832829\n",
-      "   2 False\t9200898773523832829\t>\t1933706074813788014\n",
-      "   2 True\t1933706074813788014\t<\t3197984336136010799\n",
-      "   3 True\t3197984336136010799\t<\t7592302467165612374\n",
-      "   1 True\t7592302467165612374\t=\t7592302467165612374\n",
-      "   2 True\t7592302467165612374\t<\t8166234047884591250\n",
-      "   2 False\t8166234047884591250\t>\t5893184359350376247\n",
-      "   2 True\t5893184359350376247\t<\t9210241667446195728\n",
-      "   3 True\t9210241667446195728\t<\t9210482474579022874\n",
-      "   4 True\t9210482474579022874\t<\t9215663007153733356\n",
-      "   5 True\t9215663007153733356\t<\t9221335697679710215\n",
-      "   6 True\t9221335697679710215\t<\t9221399769105421490\n",
-      "   7 True\t9221399769105421490\t<\t9222521591601947060\n",
-      "   8 True\t9222521591601947060\t<\t9222800425176030657\n",
-      "   2 False\t9222800425176030657\t>\t8735288062308570564\n",
-      "   3 False\t8735288062308570564\t>\t8585472471998457131\n",
-      "   4 False\t8585472471998457131\t>\t5809240544503722095\n",
-      "   2 True\t5809240544503722095\t<\t8039240900029997617\n",
-      "   2 False\t8039240900029997617\t>\t3556958982969142584\n",
-      "   3 False\t3556958982969142584\t>\t3254415601551250741\n",
-      "   4 False\t3254415601551250741\t>\t1930863087422002680\n",
-      "   5 False\t1930863087422002680\t>\t1629726118722371771\n",
-      "   2 True\t1629726118722371771\t<\t7237927979359845203\n",
-      "   3 True\t7237927979359845203\t<\t8661662833932265500\n",
-      "   4 True\t8661662833932265500\t<\t9135291152980914393\n",
-      "   5 True\t9135291152980914393\t<\t9217971049351017701\n",
-      "   2 False\t9217971049351017701\t>\t7878231210711996444\n",
-      "   2 True\t7878231210711996444\t<\t7959231283435061011\n",
-      "   1 True\t7959231283435061011\t=\t7959231283435061011\n",
-      "   2 True\t7959231283435061011\t<\t8226119408929969159\n",
-      "   3 True\t8226119408929969159\t<\t8715299954995686143\n",
-      "   4 True\t8715299954995686143\t<\t9113440913556136564\n",
-      "   5 True\t9113440913556136564\t<\t9196489797916418976\n",
-      "   6 True\t9196489797916418976\t<\t9212542992812272538\n",
-      "   2 False\t9212542992812272538\t>\t4258825087423191056\n",
-      "   3 False\t4258825087423191056\t>\t683451475322523074\n",
-      "   4 False\t683451475322523074\t>\t359227943289607383\n",
-      "   2 True\t359227943289607383\t<\t8926561247428064976\n",
-      "   3 True\t8926561247428064976\t<\t9130043004724466543\n",
-      "   4 True\t9130043004724466543\t<\t9156788055011633891\n",
-      "   2 False\t9156788055011633891\t>\t7722618235510777784\n",
-      "   3 False\t7722618235510777784\t>\t3253425817247069342\n",
-      "   2 True\t3253425817247069342\t<\t8089491446386827730\n",
-      "   3 True\t8089491446386827730\t<\t8546267633529629521\n",
-      "   2 False\t8546267633529629521\t>\t6582125983250127435\n",
-      "   1 False\t6582125983250127435\t=\t6582125983250127435\n",
-      "   2 True\t6582125983250127435\t<\t8725549811647479564\n",
-      "   3 True\t8725549811647479564\t<\t8905152995803640411\n",
-      "   4 True\t8905152995803640411\t<\t9202910098731682334\n",
-      "   5 True\t9202910098731682334\t<\t9221029842807926375\n",
-      "   2 False\t9221029842807926375\t>\t5500641712264482557\n",
-      "   3 False\t5500641712264482557\t>\t754764513999336718\n",
-      "   4 False\t754764513999336718\t>\t663770838596545486\n",
-      "   5 False\t663770838596545486\t>\t62512244862880486\n",
-      "   2 True\t62512244862880486\t<\t4791724904669555970\n",
-      "   3 True\t4791724904669555970\t<\t5322659630416518536\n",
-      "   4 True\t5322659630416518536\t<\t8823488374717453196\n",
-      "   5 True\t8823488374717453196\t<\t8913228699337093445\n",
-      "   6 True\t8913228699337093445\t<\t9145394301606694102\n",
-      "   2 False\t9145394301606694102\t>\t3415460680958861056\n",
-      "   2 True\t3415460680958861056\t<\t4205251232126080465\n",
-      "   3 True\t4205251232126080465\t<\t7998025426009622539\n",
-      "   4 True\t7998025426009622539\t<\t8624613350221021718\n",
-      "   2 False\t8624613350221021718\t>\t7416525490230583897\n",
-      "   3 False\t7416525490230583897\t>\t2443888609412633494\n",
-      "   4 False\t2443888609412633494\t>\t201120162948730242\n",
-      "   5 False\t201120162948730242\t>\t177381292406255075\n",
-      "   6 False\t177381292406255075\t>\t170476926885248532\n",
-      "   7 False\t170476926885248532\t>\t120623071749718287\n",
-      "   8 False\t120623071749718287\t>\t88134811290724518\n",
-      "   9 False\t88134811290724518\t>\t51955040323913189\n",
-      "  10 False\t51955040323913189\t>\t17028211118042896\n",
-      "   2 True\t17028211118042896\t<\t2905873114236561774\n",
-      "   3 True\t2905873114236561774\t<\t6722390631100417500\n",
-      "   4 True\t6722390631100417500\t<\t8899455594962116570\n",
-      "   5 True\t8899455594962116570\t<\t8920341173618253337\n",
-      "   2 False\t8920341173618253337\t>\t8508811830711162646\n",
-      "   2 True\t8508811830711162646\t<\t8701421585562638067\n",
-      "   3 True\t8701421585562638067\t<\t8937748540292977747\n",
-      "   4 True\t8937748540292977747\t<\t8986918092407391970\n",
-      "   2 False\t8986918092407391970\t>\t4512218284022526405\n",
-      "   3 False\t4512218284022526405\t>\t4236276206886020994\n",
-      "   2 True\t4236276206886020994\t<\t5252887830648392086\n",
-      "   3 True\t5252887830648392086\t<\t5402637622912808425\n",
-      "   2 False\t5402637622912808425\t>\t3929188997934701566\n",
-      "   2 True\t3929188997934701566\t<\t4281202651666743862\n",
-      "   2 False\t4281202651666743862\t>\t2319936554268215727\n",
-      "   3 False\t2319936554268215727\t>\t2048530673546107684\n",
-      "   4 False\t2048530673546107684\t>\t160789301011869352\n",
-      "   5 False\t160789301011869352\t>\t20584187677448218\n",
-      "   2 True\t20584187677448218\t<\t6091512033617073226\n",
-      "   1 True\t6091512033617073226\t=\t6091512033617073226\n",
-      "   2 True\t6091512033617073226\t<\t6736812317319319747\n",
-      "   2 False\t6736812317319319747\t>\t4229340945606024096\n",
-      "   3 False\t4229340945606024096\t>\t1971692013616955705\n",
-      "   4 False\t1971692013616955705\t>\t546463065587374951\n",
-      "   2 True\t546463065587374951\t<\t958566088123438638\n",
-      "   3 True\t958566088123438638\t<\t6673301211593547575\n",
-      "   4 True\t6673301211593547575\t<\t7785561189418286941\n",
-      "   2 False\t7785561189418286941\t>\t5312620747904765192\n",
-      "   2 True\t5312620747904765192\t<\t5845414110365139754\n",
-      "   3 True\t5845414110365139754\t<\t8396374997259719541\n",
-      "   2 False\t8396374997259719541\t>\t2084596400563923099\n",
-      "   2 True\t2084596400563923099\t<\t7289256269787222216\n",
-      "   3 True\t7289256269787222216\t<\t8864253992944502394\n",
-      "   2 False\t8864253992944502394\t>\t6294742027543211514\n",
-      "   3 False\t6294742027543211514\t>\t4877735417828411422\n",
-      "   4 False\t4877735417828411422\t>\t1707181957296355444\n",
-      "   5 False\t1707181957296355444\t>\t266055791714704141\n",
-      "   6 False\t266055791714704141\t>\t193997751431819647\n",
-      "   7 False\t193997751431819647\t>\t35508172482790622\n",
-      "   8 False\t35508172482790622\t>\t6711463582198634\n",
-      "   9 False\t6711463582198634\t>\t4613311446718005\n",
-      "  10 False\t4613311446718005\t>\t2430710294759427\n",
-      "   2 True\t2430710294759427\t<\t6390985961763674565\n",
-      "   3 True\t6390985961763674565\t<\t6690623154379534153\n",
-      "   4 True\t6690623154379534153\t<\t8802659828711185118\n",
-      "   5 True\t8802659828711185118\t<\t9060816088652029841\n",
-      "   2 False\t9060816088652029841\t>\t2238939076732389393\n",
-      "   2 True\t2238939076732389393\t<\t7777515673600701583\n",
-      "   2 False\t7777515673600701583\t>\t924673648983372513\n",
-      "   2 True\t924673648983372513\t<\t7414772078413798290\n",
-      "   3 True\t7414772078413798290\t<\t8208772471409969265\n",
-      "   4 True\t8208772471409969265\t<\t8213229947164770551\n",
-      "   5 True\t8213229947164770551\t<\t8236956175468460351\n",
-      "   6 True\t8236956175468460351\t<\t8763853068737326966\n",
-      "   7 True\t8763853068737326966\t<\t8864698047151153318\n",
-      "   8 True\t8864698047151153318\t<\t8888206787887943436\n",
-      "   9 True\t8888206787887943436\t<\t9107791729892951519\n",
-      "  10 True\t9107791729892951519\t<\t9218051813131095657\n",
-      "  11 True\t9218051813131095657\t<\t9219106822603867935\n",
-      "  12 True\t9219106822603867935\t<\t9219958499566316528\n",
-      "  13 True\t9219958499566316528\t<\t9220720836063267008\n",
-      "  14 True\t9220720836063267008\t<\t9221984863960017232\n",
-      "  15 True\t9221984863960017232\t<\t9223295507878592147\n",
-      "   2 False\t9223295507878592147\t>\t4784735675028634960\n",
-      "   3 False\t4784735675028634960\t>\t473511684835021106\n",
-      "   2 True\t473511684835021106\t<\t2248092936661302698\n",
-      "   3 True\t2248092936661302698\t<\t2404789117541596242\n",
-      "   2 False\t2404789117541596242\t>\t1315086490330237378\n",
-      "   2 True\t1315086490330237378\t<\t1987202083906093720\n",
-      "   3 True\t1987202083906093720\t<\t6103579914929626347\n",
-      "   2 False\t6103579914929626347\t>\t3323647252852621174\n",
-      "   3 False\t3323647252852621174\t>\t124443300357551770\n",
-      "   4 False\t124443300357551770\t>\t79410100369483618\n",
-      "   5 False\t79410100369483618\t>\t3164136035338367\n",
-      "   6 False\t3164136035338367\t>\t2919704842105834\n",
-      "   7 False\t2919704842105834\t>\t2205867143663626\n",
-      "   8 False\t2205867143663626\t>\t1307154733731419\n",
-      "   9 False\t1307154733731419\t>\t273537980612401\n",
-      "  10 False\t273537980612401\t>\t259918687797149\n",
-      "   1 False\t259918687797149\t=\t259918687797149\n",
-      "   2 True\t259918687797149\t<\t2961168462011725249\n",
-      "   2 False\t2961168462011725249\t>\t138235819125722065\n",
-      "   2 True\t138235819125722065\t<\t4451857467455310686\n",
-      "   2 False\t4451857467455310686\t>\t2682430878104725018\n",
-      "   3 False\t2682430878104725018\t>\t2567514794980031224\n",
-      "   4 False\t2567514794980031224\t>\t2510471148059998993\n",
-      "   5 False\t2510471148059998993\t>\t1831058414714108710\n",
-      "   6 False\t1831058414714108710\t>\t1619506631758478008\n",
-      "   7 False\t1619506631758478008\t>\t514478460987177527\n",
-      "   2 True\t514478460987177527\t<\t8730093430616265427\n",
-      "   2 False\t8730093430616265427\t>\t1568776320460318393\n",
-      "   3 False\t1568776320460318393\t>\t455032991853149943\n",
-      "   4 False\t455032991853149943\t>\t179620563673872482\n",
-      "   5 False\t179620563673872482\t>\t146730957300180738\n",
-      "   6 False\t146730957300180738\t>\t50899895003129130\n",
-      "   7 False\t50899895003129130\t>\t17792048994471246\n",
-      "   8 False\t17792048994471246\t>\t16803697327128682\n",
-      "   9 False\t16803697327128682\t>\t10637902626783438\n",
-      "  10 False\t10637902626783438\t>\t6702371201341990\n",
-      "   2 True\t6702371201341990\t<\t422478350387577013\n",
-      "   3 True\t422478350387577013\t<\t4084996889817146658\n",
-      "   2 False\t4084996889817146658\t>\t441612714833527167\n",
-      "   3 False\t441612714833527167\t>\t95235607321380859\n",
-      "   4 False\t95235607321380859\t>\t92495718461626295\n",
-      "   5 False\t92495718461626295\t>\t49080416168166387\n",
-      "   6 False\t49080416168166387\t>\t17243120948950771\n",
-      "   7 False\t17243120948950771\t>\t5669487032331640\n",
-      "   2 True\t5669487032331640\t<\t2916131494345014212\n",
-      "   3 True\t2916131494345014212\t<\t3962041882966938740\n",
-      "   2 False\t3962041882966938740\t>\t916987547284602611\n",
-      "   3 False\t916987547284602611\t>\t612286527931975706\n",
-      "   4 False\t612286527931975706\t>\t320432648361371602\n",
-      "   5 False\t320432648361371602\t>\t54386954538791323\n",
-      "   6 False\t54386954538791323\t>\t31048223714891695\n",
-      "   2 True\t31048223714891695\t<\t5160119877613415716\n",
-      "   2 False\t5160119877613415716\t>\t2876111218588663418\n",
-      "   2 True\t2876111218588663418\t<\t7198970978304797148\n",
-      "   3 True\t7198970978304797148\t<\t9038555149952887592\n",
-      "   4 True\t9038555149952887592\t<\t9110539768636652654\n",
-      "   2 False\t9110539768636652654\t>\t7934973945685907342\n",
-      "   3 False\t7934973945685907342\t>\t4310608791656597460\n",
-      "   2 True\t4310608791656597460\t<\t5114569718924025818\n",
-      "   2 False\t5114569718924025818\t>\t540051996726195627\n",
-      "   3 False\t540051996726195627\t>\t30616618862637545\n",
-      "   4 False\t30616618862637545\t>\t16711619640076037\n",
-      "   5 False\t16711619640076037\t>\t4082040769784983\n",
-      "   1 False\t4082040769784983\t=\t4082040769784983\n",
-      "   2 False\t4082040769784983\t>\t4047869205277850\n",
-      "   3 False\t4047869205277850\t>\t2274198572038520\n",
-      "   4 False\t2274198572038520\t>\t1257521204656091\n",
-      "   2 True\t1257521204656091\t<\t2686952038456895578\n",
-      "   3 True\t2686952038456895578\t<\t3986007211731792954\n",
-      "   2 False\t3986007211731792954\t>\t3495928947782363941\n",
-      "   2 True\t3495928947782363941\t<\t7323631885608218067\n",
-      "   2 False\t7323631885608218067\t>\t1077742241778062072\n",
-      "   3 False\t1077742241778062072\t>\t1053014522899282639\n",
-      "   4 False\t1053014522899282639\t>\t857525212439260825\n",
-      "   2 True\t857525212439260825\t<\t6000742053203139949\n",
-      "   3 True\t6000742053203139949\t<\t6204501428945757957\n",
-      "   2 False\t6204501428945757957\t>\t4311173057735109376\n",
-      "   3 False\t4311173057735109376\t>\t1814312780275519421\n",
-      "   4 False\t1814312780275519421\t>\t946134740399473579\n",
-      "   5 False\t946134740399473579\t>\t141740176407650258\n",
-      "   6 False\t141740176407650258\t>\t105991518077516441\n",
-      "   7 False\t105991518077516441\t>\t85597697777731159\n",
-      "   8 False\t85597697777731159\t>\t13576449392763602\n",
-      "   9 False\t13576449392763602\t>\t9444750314540060\n",
-      "  10 False\t9444750314540060\t>\t3252814762599819\n",
-      "  11 False\t3252814762599819\t>\t594510562157800\n",
-      "   2 True\t594510562157800\t<\t2593626983388295900\n",
-      "   3 True\t2593626983388295900\t<\t5709265932883907943\n",
-      "   4 True\t5709265932883907943\t<\t8557866360161060751\n",
-      "   5 True\t8557866360161060751\t<\t8820978733703115025\n",
-      "   6 True\t8820978733703115025\t<\t8955648391748733611\n",
-      "   7 True\t8955648391748733611\t<\t9193767084765416485\n",
-      "   2 False\t9193767084765416485\t>\t7453811826661029131\n",
-      "   3 False\t7453811826661029131\t>\t3852335818192268743\n",
-      "   2 True\t3852335818192268743\t<\t3973098939008888169\n",
-      "   3 True\t3973098939008888169\t<\t5545878183084419800\n",
-      "   2 False\t5545878183084419800\t>\t156636059592478484\n",
-      "   2 True\t156636059592478484\t<\t7308655129049941097\n",
-      "   3 True\t7308655129049941097\t<\t8182865537198197641\n",
-      "   4 True\t8182865537198197641\t<\t8958213948362037528\n",
-      "   5 True\t8958213948362037528\t<\t9151852049567021596\n",
-      "   6 True\t9151852049567021596\t<\t9194582541490597138\n",
-      "   7 True\t9194582541490597138\t<\t9212854506619445400\n",
-      "   2 False\t9212854506619445400\t>\t6487173847362188636\n",
-      "   3 False\t6487173847362188636\t>\t4804217419511405580\n",
-      "   4 False\t4804217419511405580\t>\t807739931472874122\n",
-      "   5 False\t807739931472874122\t>\t447543164431437952\n",
-      "   6 False\t447543164431437952\t>\t167907229534416326\n",
-      "   2 True\t167907229534416326\t<\t7926150834375447274\n",
-      "   2 False\t7926150834375447274\t>\t5443856370249972288\n",
-      "   2 True\t5443856370249972288\t<\t8789649650145239646\n",
-      "   2 False\t8789649650145239646\t>\t6850810115835323302\n",
-      "   3 False\t6850810115835323302\t>\t4174131764966781070\n",
-      "   4 False\t4174131764966781070\t>\t2008325939315822064\n",
-      "   5 False\t2008325939315822064\t>\t1413392190021465245\n",
-      "   6 False\t1413392190021465245\t>\t922386184313628952\n",
-      "   7 False\t922386184313628952\t>\t131551352232712687\n",
-      "   8 False\t131551352232712687\t>\t65653784005646883\n",
-      "   9 False\t65653784005646883\t>\t2147041586531812\n",
-      "  10 False\t2147041586531812\t>\t33647719022022\n",
-      "  11 False\t33647719022022\t>\t6351745955561\n",
-      "   2 True\t6351745955561\t<\t6796850654353739590\n",
-      "   3 True\t6796850654353739590\t<\t9148689036616200339\n",
-      "   4 True\t9148689036616200339\t<\t9196125025327674207\n",
-      "   2 False\t9196125025327674207\t>\t5510343789361865266\n",
-      "   3 False\t5510343789361865266\t>\t1298740655749152071\n",
-      "   2 True\t1298740655749152071\t<\t5069062987965985282\n",
-      "   2 False\t5069062987965985282\t>\t4617457153974668613\n",
-      "   3 False\t4617457153974668613\t>\t3453461696059483786\n",
-      "   4 False\t3453461696059483786\t>\t2819682086597351148\n",
-      "   5 False\t2819682086597351148\t>\t2720389177007899456\n",
-      "   6 False\t2720389177007899456\t>\t2191972835635121501\n",
-      "   7 False\t2191972835635121501\t>\t1674386196278641351\n",
-      "   2 True\t1674386196278641351\t<\t3599212030361154879\n",
-      "   3 True\t3599212030361154879\t<\t4854448382542431074\n",
-      "   4 True\t4854448382542431074\t<\t7544391285322926657\n",
-      "   5 True\t7544391285322926657\t<\t8190310014569345733\n",
-      "   6 True\t8190310014569345733\t<\t8207518195126989325\n",
-      "   7 True\t8207518195126989325\t<\t9072000684603576032\n",
-      "   8 True\t9072000684603576032\t<\t9090643277421621445\n",
-      "   9 True\t9090643277421621445\t<\t9193806243270395439\n",
-      "   2 False\t9193806243270395439\t>\t3371072553512111951\n",
-      "   1 False\t3371072553512111951\t=\t3371072553512111951\n",
-      "   2 True\t3371072553512111951\t<\t4814546133630119074\n",
-      "   2 False\t4814546133630119074\t>\t1458639409445583346\n",
-      "   2 True\t1458639409445583346\t<\t7365460875619816623\n",
-      "   2 False\t7365460875619816623\t>\t3697628357565307179\n",
-      "   3 False\t3697628357565307179\t>\t3239795763709963456\n",
-      "   4 False\t3239795763709963456\t>\t1873136494899153801\n",
-      "   1 False\t1873136494899153801\t=\t1873136494899153801\n",
-      "   2 False\t1873136494899153801\t>\t162750129100410309\n",
-      "   3 False\t162750129100410309\t>\t46934167124337201\n",
-      "   4 False\t46934167124337201\t>\t42230843240031727\n",
-      "   2 True\t42230843240031727\t<\t5154452574923785514\n",
-      "   3 True\t5154452574923785514\t<\t5325542208129956931\n",
-      "   1 True\t5325542208129956931\t=\t5325542208129956931\n",
-      "   2 True\t5325542208129956931\t<\t5821968393170899232\n",
-      "   3 True\t5821968393170899232\t<\t8946769687643375088\n",
-      "   4 True\t8946769687643375088\t<\t9176736811652584259\n",
-      "   5 True\t9176736811652584259\t<\t9220358162481243211\n",
-      "   6 True\t9220358162481243211\t<\t9222716197635917454\n",
-      "   7 True\t9222716197635917454\t<\t9223322390549845664\n",
-      "   2 False\t9223322390549845664\t>\t3747669208044717838\n",
-      "   3 False\t3747669208044717838\t>\t1032961813449569227\n",
-      "   4 False\t1032961813449569227\t>\t617103998812094918\n",
-      "   2 True\t617103998812094918\t<\t6610720464099376769\n",
-      "   2 False\t6610720464099376769\t>\t644692936129058190\n",
-      "   3 False\t644692936129058190\t>\t187502619463985955\n",
-      "   4 False\t187502619463985955\t>\t174336621919184373\n",
-      "   5 False\t174336621919184373\t>\t114406514089123072\n",
-      "   6 False\t114406514089123072\t>\t634805454122746\n",
-      "   7 False\t634805454122746\t>\t343754851272959\n",
-      "   8 False\t343754851272959\t>\t324524026302028\n",
-      "   9 False\t324524026302028\t>\t121015278889676\n",
-      "  10 False\t121015278889676\t>\t1186030694622\n",
-      "   2 True\t1186030694622\t<\t4268529639565364436\n",
-      "   3 True\t4268529639565364436\t<\t5515161385447885409\n",
-      "   2 False\t5515161385447885409\t>\t3234991627601071230\n",
-      "   3 False\t3234991627601071230\t>\t16623505361045289\n",
-      "   1 False\t16623505361045289\t=\t16623505361045289\n",
-      "   1 False\t16623505361045289\t=\t16623505361045289\n",
-      "   2 False\t16623505361045289\t>\t15990118811528726\n",
-      "   3 False\t15990118811528726\t>\t10486426497160334\n",
-      "   2 True\t10486426497160334\t<\t1928554633371544281\n",
-      "   2 False\t1928554633371544281\t>\t1248248078737285711\n",
-      "   2 True\t1248248078737285711\t<\t1420101139145881617\n",
-      "   1 True\t1420101139145881617\t=\t1420101139145881617\n",
-      "   2 False\t1420101139145881617\t>\t395699412154146010\n",
-      "   3 False\t395699412154146010\t>\t193721173353804795\n",
-      "   4 False\t193721173353804795\t>\t2151646284060415\n",
-      "   5 False\t2151646284060415\t>\t948284168103261\n",
-      "   6 False\t948284168103261\t>\t12468416788420\n",
-      "   2 True\t12468416788420\t<\t6029466591511586303\n",
-      "   3 True\t6029466591511586303\t<\t6240942415215231818\n",
-      "   1 True\t6240942415215231818\t=\t6240942415215231818\n",
-      "   2 False\t6240942415215231818\t>\t5142520588251724164\n",
-      "   3 False\t5142520588251724164\t>\t899193968960734216\n",
-      "   4 False\t899193968960734216\t>\t188680867865119802\n",
-      "   5 False\t188680867865119802\t>\t200063603157720\n",
-      "   6 False\t200063603157720\t>\t117026749110363\n",
-      "   2 True\t117026749110363\t<\t2271751466053412590\n",
-      "   2 False\t2271751466053412590\t>\t206703997353864427\n",
-      "   2 True\t206703997353864427\t<\t7694624962521277546\n",
-      "   1 True\t7694624962521277546\t=\t7694624962521277546\n",
-      "   2 False\t7694624962521277546\t>\t4090856930587656381\n",
-      "   2 True\t4090856930587656381\t<\t9209848387183987541\n",
-      "   3 True\t9209848387183987541\t<\t9222277714196179868\n",
-      "   4 True\t9222277714196179868\t<\t9223340307175378472\n",
-      "   2 False\t9223340307175378472\t>\t8963105643821123418\n",
-      "   3 False\t8963105643821123418\t>\t480837252801453402\n",
-      "   4 False\t480837252801453402\t>\t267000796190783420\n",
-      "   5 False\t267000796190783420\t>\t249168464019924459\n",
-      "   6 False\t249168464019924459\t>\t245990963891709341\n",
-      "   7 False\t245990963891709341\t>\t77321654964876052\n",
-      "   8 False\t77321654964876052\t>\t48179749573686281\n",
-      "   9 False\t48179749573686281\t>\t25571463151356860\n",
-      "  10 False\t25571463151356860\t>\t10564550706821490\n",
-      "  11 False\t10564550706821490\t>\t9194375584612631\n",
-      "  12 False\t9194375584612631\t>\t1747238652371564\n",
-      "  13 False\t1747238652371564\t>\t1417372329343569\n",
-      "   2 True\t1417372329343569\t<\t8518671208245657046\n",
-      "   3 True\t8518671208245657046\t<\t9045704458683708967\n",
-      "   2 False\t9045704458683708967\t>\t3917417612888780981\n",
-      "   2 True\t3917417612888780981\t<\t5977242629091639417\n",
-      "   3 True\t5977242629091639417\t<\t7545515561009728824\n",
-      "   4 True\t7545515561009728824\t<\t7913097788126763870\n",
-      "   5 True\t7913097788126763870\t<\t8818629414459624292\n",
-      "   2 False\t8818629414459624292\t>\t3777180932302372759\n",
-      "   2 True\t3777180932302372759\t<\t7392551617977588250\n",
-      "   3 True\t7392551617977588250\t<\t8301360293979576979\n",
-      "   4 True\t8301360293979576979\t<\t8741749037116939311\n",
-      "   5 True\t8741749037116939311\t<\t9056281443548437453\n",
-      "   6 True\t9056281443548437453\t<\t9166182731493416184\n",
-      "   2 False\t9166182731493416184\t>\t7214844274803740127\n",
-      "   3 False\t7214844274803740127\t>\t2384660871972618498\n",
-      "   4 False\t2384660871972618498\t>\t2212694457602540472\n",
-      "   5 False\t2212694457602540472\t>\t1780514886181320638\n",
-      "   6 False\t1780514886181320638\t>\t1372163499623960695\n",
-      "   2 True\t1372163499623960695\t<\t8884017612756818135\n",
-      "   2 False\t8884017612756818135\t>\t335765816680108782\n",
-      "   2 True\t335765816680108782\t<\t6652962396116597103\n",
-      "   1 True\t6652962396116597103\t=\t6652962396116597103\n",
-      "   2 True\t6652962396116597103\t<\t6985291258897153790\n",
-      "   2 False\t6985291258897153790\t>\t2815227165287286123\n",
-      "   3 False\t2815227165287286123\t>\t1119098878159222476\n",
-      "   4 False\t1119098878159222476\t>\t1058185769195129425\n",
-      "   5 False\t1058185769195129425\t>\t554297325472966558\n",
-      "   2 True\t554297325472966558\t<\t4527900564280814739\n",
-      "   2 False\t4527900564280814739\t>\t3889151426587328768\n",
-      "   3 False\t3889151426587328768\t>\t2821737477239047843\n",
-      "   4 False\t2821737477239047843\t>\t1299059008665231782\n",
-      "   5 False\t1299059008665231782\t>\t952488382442757254\n",
-      "   2 True\t952488382442757254\t<\t9011906342130441768\n",
-      "   1 True\t9011906342130441768\t=\t9011906342130441768\n",
-      "   2 False\t9011906342130441768\t>\t8424769645895935501\n",
-      "   3 False\t8424769645895935501\t>\t8380553857635270596\n",
-      "   4 False\t8380553857635270596\t>\t7767702584625041911\n",
-      "   2 True\t7767702584625041911\t<\t8284753083527333531\n",
-      "   3 True\t8284753083527333531\t<\t8994254862950613002\n",
-      "   4 True\t8994254862950613002\t<\t9214103457140194260\n",
-      "   1 True\t9214103457140194260\t=\t9214103457140194260\n",
-      "   2 False\t9214103457140194260\t>\t6185292998672554670\n",
-      "   3 False\t6185292998672554670\t>\t4655983784935863347\n",
-      "   4 False\t4655983784935863347\t>\t2839170911464687645\n",
-      "   2 True\t2839170911464687645\t<\t3188657682804215135\n",
-      "   3 True\t3188657682804215135\t<\t7978782960975002128\n",
-      "   4 True\t7978782960975002128\t<\t8406858399125665151\n",
-      "   2 False\t8406858399125665151\t>\t2365512857675388811\n",
-      "   2 True\t2365512857675388811\t<\t8334763685519293322\n",
-      "   2 False\t8334763685519293322\t>\t1851154348231867516\n",
-      "   3 False\t1851154348231867516\t>\t1457566778988821568\n",
-      "   4 False\t1457566778988821568\t>\t1006582904604623265\n",
-      "   5 False\t1006582904604623265\t>\t410116165353867535\n",
-      "   6 False\t410116165353867535\t>\t292291979080941156\n",
-      "   7 False\t292291979080941156\t>\t6301387700543252\n",
-      "   2 True\t6301387700543252\t<\t4849431234017872556\n",
-      "   3 True\t4849431234017872556\t<\t6921067127106702339\n",
-      "   4 True\t6921067127106702339\t<\t8259319369032593527\n",
-      "   5 True\t8259319369032593527\t<\t8967928352379684157\n",
-      "   2 False\t8967928352379684157\t>\t7187854009606166867\n",
-      "   3 False\t7187854009606166867\t>\t1532730981997860187\n",
-      "   4 False\t1532730981997860187\t>\t575026001476328390\n",
-      "   5 False\t575026001476328390\t>\t332375746384508048\n",
-      "   2 True\t332375746384508048\t<\t5972267664050680109\n",
-      "   3 True\t5972267664050680109\t<\t8955810299239020343\n",
-      "   4 True\t8955810299239020343\t<\t9164321910840002438\n",
-      "   2 False\t9164321910840002438\t>\t3057183101538435035\n",
-      "   3 False\t3057183101538435035\t>\t443955501092085553\n",
-      "   4 False\t443955501092085553\t>\t255392484762133801\n",
-      "   5 False\t255392484762133801\t>\t101773131190434926\n",
-      "   6 False\t101773131190434926\t>\t88500879673637753\n",
-      "   7 False\t88500879673637753\t>\t80329395199177036\n",
-      "   8 False\t80329395199177036\t>\t59547972697325880\n",
-      "   9 False\t59547972697325880\t>\t29784882428842\n",
-      "  10 False\t29784882428842\t>\t22559041855324\n",
-      "  11 False\t22559041855324\t>\t16090670791952\n",
-      "  12 False\t16090670791952\t>\t9110234770058\n",
-      "   2 True\t9110234770058\t<\t1930745388394592784\n",
-      "   3 True\t1930745388394592784\t<\t4365044951819676463\n",
-      "   2 False\t4365044951819676463\t>\t1408419028518275066\n",
-      "   3 False\t1408419028518275066\t>\t136750202948193988\n",
-      "   2 True\t136750202948193988\t<\t6273387833352806754\n",
-      "   3 True\t6273387833352806754\t<\t9189695913178190474\n",
-      "   4 True\t9189695913178190474\t<\t9197132981613039477\n",
-      "   5 True\t9197132981613039477\t<\t9204507905843775297\n",
-      "   6 True\t9204507905843775297\t<\t9216393916865602909\n",
-      "   7 True\t9216393916865602909\t<\t9220579544244512613\n",
-      "   2 False\t9220579544244512613\t>\t2556747074822929599\n",
-      "   3 False\t2556747074822929599\t>\t123675237579024533\n",
-      "   2 True\t123675237579024533\t<\t2479208776837811330\n",
-      "   2 False\t2479208776837811330\t>\t2200307178938126408\n",
-      "   3 False\t2200307178938126408\t>\t1683047391576807504\n",
-      "   1 False\t1683047391576807504\t=\t1683047391576807504\n",
-      "   2 False\t1683047391576807504\t>\t905420759651903869\n",
-      "   1 False\t905420759651903869\t=\t905420759651903869\n",
-      "   2 False\t905420759651903869\t>\t236259187255408596\n",
-      "   3 False\t236259187255408596\t>\t165503291873187968\n",
-      "   2 True\t165503291873187968\t<\t6119111819435546214\n",
-      "   3 True\t6119111819435546214\t<\t8562714338227224403\n",
-      "   4 True\t8562714338227224403\t<\t8719886147248025303\n",
-      "   5 True\t8719886147248025303\t<\t8985468909514493374\n",
-      "   2 False\t8985468909514493374\t>\t51057534620621855\n",
-      "   2 True\t51057534620621855\t<\t7499466624304300558\n",
-      "   3 True\t7499466624304300558\t<\t9091433550961022892\n",
-      "   2 False\t9091433550961022892\t>\t1067308655543821287\n",
-      "   2 True\t1067308655543821287\t<\t6625748895816544035\n",
-      "   2 False\t6625748895816544035\t>\t4613965136788319118\n",
-      "   3 False\t4613965136788319118\t>\t235355969610318346\n",
-      "   4 False\t235355969610318346\t>\t83685031303483363\n",
-      "   5 False\t83685031303483363\t>\t20427507969104141\n",
-      "   2 True\t20427507969104141\t<\t5330677167451128927\n",
-      "   3 True\t5330677167451128927\t<\t6300782463017736761\n",
-      "   4 True\t6300782463017736761\t<\t7659566602893203251\n",
-      "   5 True\t7659566602893203251\t<\t8031545436359768862\n",
-      "   6 True\t8031545436359768862\t<\t9134265414688229520\n",
-      "   7 True\t9134265414688229520\t<\t9211672872394073647\n",
-      "   8 True\t9211672872394073647\t<\t9218108155181679248\n",
-      "   9 True\t9218108155181679248\t<\t9219194229259282898\n",
-      "  10 True\t9219194229259282898\t<\t9221740742339337729\n",
-      "   1 True\t9221740742339337729\t=\t9221740742339337729\n",
-      "   2 False\t9221740742339337729\t>\t7165173980355560482\n",
-      "   3 False\t7165173980355560482\t>\t523231809635902231\n",
-      "   2 True\t523231809635902231\t<\t7668240587328535022\n",
-      "   3 True\t7668240587328535022\t<\t7871032314049902014\n",
-      "   4 True\t7871032314049902014\t<\t8625491675694512451\n",
-      "   5 True\t8625491675694512451\t<\t8994072225425952666\n",
-      "   6 True\t8994072225425952666\t<\t9012147424489457381\n",
-      "   7 True\t9012147424489457381\t<\t9119808515023494969\n",
-      "   8 True\t9119808515023494969\t<\t9129595930806877564\n",
-      "   9 True\t9129595930806877564\t<\t9197751804558597092\n",
-      "  10 True\t9197751804558597092\t<\t9203151883370360031\n",
-      "   2 False\t9203151883370360031\t>\t6259758192950563660\n",
-      "   3 False\t6259758192950563660\t>\t4624209027314837686\n",
-      "   4 False\t4624209027314837686\t>\t555962482266235566\n",
-      "   2 True\t555962482266235566\t<\t7310440724072923592\n",
-      "   2 False\t7310440724072923592\t>\t4736655287989383119\n",
-      "   3 False\t4736655287989383119\t>\t2670458934932830610\n",
-      "   2 True\t2670458934932830610\t<\t2825607964338933077\n",
-      "   2 False\t2825607964338933077\t>\t2010966400202151966\n",
-      "   2 True\t2010966400202151966\t<\t4055702792377548649\n",
-      "   3 True\t4055702792377548649\t<\t8945672804574238015\n",
-      "   4 True\t8945672804574238015\t<\t9145948895973700556\n",
-      "   5 True\t9145948895973700556\t<\t9185433082234123645\n",
-      "   6 True\t9185433082234123645\t<\t9212063957372356176\n",
-      "   7 True\t9212063957372356176\t<\t9215649397049851264\n",
-      "   2 False\t9215649397049851264\t>\t3495573770300145768\n",
-      "   2 True\t3495573770300145768\t<\t8513442018589809167\n",
-      "   3 True\t8513442018589809167\t<\t8596072447134774332\n",
-      "   2 False\t8596072447134774332\t>\t1993528100072558947\n",
-      "   3 False\t1993528100072558947\t>\t226347867769968105\n",
-      "   4 False\t226347867769968105\t>\t68285621755782291\n",
-      "   5 False\t68285621755782291\t>\t23007394192629840\n",
-      "   2 True\t23007394192629840\t<\t3111176441572781508\n",
-      "   3 True\t3111176441572781508\t<\t6221734545882655120\n",
-      "   4 True\t6221734545882655120\t<\t6754544207651869357\n",
-      "   5 True\t6754544207651869357\t<\t8254658579258614896\n",
-      "   6 True\t8254658579258614896\t<\t8337576594363426391\n",
-      "   7 True\t8337576594363426391\t<\t8894953615623366744\n",
-      "   2 False\t8894953615623366744\t>\t2581490568609944274\n",
-      "   2 True\t2581490568609944274\t<\t6330231894230456858\n",
-      "   3 True\t6330231894230456858\t<\t7563201524804312331\n",
-      "   2 False\t7563201524804312331\t>\t4473314988166936770\n",
-      "   3 False\t4473314988166936770\t>\t2437074141778276174\n",
-      "   4 False\t2437074141778276174\t>\t1735391807391596327\n",
-      "   2 True\t1735391807391596327\t<\t8932714764881325257\n",
-      "   3 True\t8932714764881325257\t<\t8952379950596286957\n",
-      "   2 False\t8952379950596286957\t>\t2525090634146108670\n",
-      "   3 False\t2525090634146108670\t>\t1422692324522086898\n",
-      "   4 False\t1422692324522086898\t>\t331137997339447359\n",
-      "   5 False\t331137997339447359\t>\t132980684991926472\n",
-      "   6 False\t132980684991926472\t>\t2752283420810510\n",
-      "   7 False\t2752283420810510\t>\t2549235364713874\n",
-      "   8 False\t2549235364713874\t>\t1795405853168423\n",
-      "   9 False\t1795405853168423\t>\t899232903953741\n",
-      "   2 True\t899232903953741\t<\t3279865255831986659\n",
-      "   3 True\t3279865255831986659\t<\t5970756718888247500\n",
-      "   4 True\t5970756718888247500\t<\t7987873587890531331\n",
-      "   5 True\t7987873587890531331\t<\t8593901765465544736\n",
-      "   2 False\t8593901765465544736\t>\t6558655717699315168\n",
-      "   2 True\t6558655717699315168\t<\t8810036940195415839\n",
-      "   3 True\t8810036940195415839\t<\t9153968219984584220\n",
-      "   4 True\t9153968219984584220\t<\t9192459801801975919\n",
-      "   2 False\t9192459801801975919\t>\t3125821385479786569\n",
-      "   2 True\t3125821385479786569\t<\t4250573072820457521\n",
-      "   3 True\t4250573072820457521\t<\t8189357449770135903\n",
-      "   1 True\t8189357449770135903\t=\t8189357449770135903\n",
-      "   1 True\t8189357449770135903\t=\t8189357449770135903\n",
-      "   2 True\t8189357449770135903\t<\t8282305007032179936\n",
-      "   2 False\t8282305007032179936\t>\t2049437531145193629\n",
-      "   3 False\t2049437531145193629\t>\t929791832965893542\n",
-      "   4 False\t929791832965893542\t>\t519931557682080093\n",
-      "   2 True\t519931557682080093\t<\t3289468536882322057\n",
-      "   3 True\t3289468536882322057\t<\t3990860339181758146\n",
-      "   4 True\t3990860339181758146\t<\t5037923123018012887\n",
-      "   5 True\t5037923123018012887\t<\t6924084742856201245\n",
-      "   6 True\t6924084742856201245\t<\t8378627612674746858\n",
-      "   7 True\t8378627612674746858\t<\t8756160857638551310\n",
-      "   2 False\t8756160857638551310\t>\t8267079903655855059\n",
-      "   3 False\t8267079903655855059\t>\t7048753660476845852\n",
-      "   4 False\t7048753660476845852\t>\t6077894954772404621\n",
-      "   5 False\t6077894954772404621\t>\t1618191527203538710\n",
-      "   6 False\t1618191527203538710\t>\t1165714815678928282\n",
-      "   7 False\t1165714815678928282\t>\t1104090502196002747\n",
-      "   2 True\t1104090502196002747\t<\t5238058068016579942\n",
-      "   3 True\t5238058068016579942\t<\t5937663569513731803\n",
-      "   4 True\t5937663569513731803\t<\t6413390423181672600\n",
-      "   2 False\t6413390423181672600\t>\t2897284135231214202\n",
-      "   2 True\t2897284135231214202\t<\t3742869390342568564\n",
-      "   3 True\t3742869390342568564\t<\t7698229868896172705\n",
-      "   1 True\t7698229868896172705\t=\t7698229868896172705\n",
-      "   2 True\t7698229868896172705\t<\t8124967805170425438\n",
-      "   3 True\t8124967805170425438\t<\t9100153384547160115\n",
-      "   2 False\t9100153384547160115\t>\t7295784781734155584\n",
-      "   3 False\t7295784781734155584\t>\t5767861745581243221\n",
-      "   4 False\t5767861745581243221\t>\t5583009252444658836\n",
-      "   2 True\t5583009252444658836\t<\t8272238238632580570\n",
-      "   3 True\t8272238238632580570\t<\t8914365245071117939\n",
-      "   4 True\t8914365245071117939\t<\t9142765713149557820\n",
-      "   5 True\t9142765713149557820\t<\t9212340275305862366\n",
-      "   6 True\t9212340275305862366\t<\t9221730329262291081\n",
-      "   2 False\t9221730329262291081\t>\t1071144968954835720\n",
-      "   2 True\t1071144968954835720\t<\t3467998232314672640\n",
-      "   3 True\t3467998232314672640\t<\t5912244520311830053\n",
-      "   4 True\t5912244520311830053\t<\t8683407185374524634\n",
-      "   2 False\t8683407185374524634\t>\t8051614064319009525\n",
-      "   3 False\t8051614064319009525\t>\t1251426231404858374\n",
-      "   2 True\t1251426231404858374\t<\t5822382669717393189\n",
-      "   3 True\t5822382669717393189\t<\t7165780050077332939\n",
-      "   4 True\t7165780050077332939\t<\t8014213344013484065\n",
-      "   5 True\t8014213344013484065\t<\t8034545186910528720\n",
-      "   6 True\t8034545186910528720\t<\t9141497897391778528\n",
-      "   1 True\t9141497897391778528\t=\t9141497897391778528\n",
-      "   2 True\t9141497897391778528\t<\t9219677900667339566\n",
-      "   2 False\t9219677900667339566\t>\t8325450823419604029\n",
-      "   3 False\t8325450823419604029\t>\t6730724239479484382\n",
-      "   4 False\t6730724239479484382\t>\t2086815925825534609\n",
-      "   5 False\t2086815925825534609\t>\t390862402434160795\n",
-      "   6 False\t390862402434160795\t>\t361814386190991598\n",
-      "   7 False\t361814386190991598\t>\t117181357209821725\n",
-      "   1 False\t117181357209821725\t=\t117181357209821725\n",
-      "   2 True\t117181357209821725\t<\t1426896735416374405\n",
-      "   3 True\t1426896735416374405\t<\t2583710245986183522\n",
-      "   4 True\t2583710245986183522\t<\t7557360394834066934\n",
-      "   5 True\t7557360394834066934\t<\t7860151152327922326\n",
-      "   2 False\t7860151152327922326\t>\t5985396418009698022\n",
-      "   2 True\t5985396418009698022\t<\t8370528963334749944\n",
-      "   2 False\t8370528963334749944\t>\t5712512920859003126\n",
-      "   3 False\t5712512920859003126\t>\t2247193039915463630\n",
-      "   4 False\t2247193039915463630\t>\t724611749840888278\n",
-      "   5 False\t724611749840888278\t>\t227730002642061861\n",
-      "   2 True\t227730002642061861\t<\t933850385022335573\n",
-      "   3 True\t933850385022335573\t<\t6892223586654514444\n",
-      "   2 False\t6892223586654514444\t>\t2515328558186795631\n",
-      "   2 True\t2515328558186795631\t<\t6265072432632216686\n",
-      "   1 True\t6265072432632216686\t=\t6265072432632216686\n",
-      "   2 False\t6265072432632216686\t>\t3537921424417013711\n",
-      "   3 False\t3537921424417013711\t>\t536205855210099476\n",
-      "   4 False\t536205855210099476\t>\t195570759846021976\n",
-      "   5 False\t195570759846021976\t>\t62832516197040289\n",
-      "   6 False\t62832516197040289\t>\t43719091190769126\n",
-      "   7 False\t43719091190769126\t>\t43214446373669641\n",
-      "   8 False\t43214446373669641\t>\t21847148647726343\n",
-      "   9 False\t21847148647726343\t>\t6614173199564446\n",
-      "  10 False\t6614173199564446\t>\t450880007429797\n",
-      "  11 False\t450880007429797\t>\t84483129409311\n",
-      "  12 False\t84483129409311\t>\t4730119073592\n",
-      "  13 False\t4730119073592\t>\t3748084667505\n",
-      "  14 False\t3748084667505\t>\t1877524967097\n",
-      "  15 False\t1877524967097\t>\t428704375478\n",
-      "   2 True\t428704375478\t<\t3645548245624497021\n",
-      "   2 False\t3645548245624497021\t>\t2403144627714388320\n",
-      "   2 True\t2403144627714388320\t<\t6103622066423017154\n",
-      "   3 True\t6103622066423017154\t<\t6720362355401674097\n",
-      "   4 True\t6720362355401674097\t<\t7592887285317982730\n",
-      "   2 False\t7592887285317982730\t>\t7002511784559954449\n",
-      "   3 False\t7002511784559954449\t>\t6235175724860975694\n",
-      "   4 False\t6235175724860975694\t>\t1101945063503673270\n",
-      "   2 True\t1101945063503673270\t<\t6511404358590434511\n",
-      "   2 False\t6511404358590434511\t>\t2895860258534594364\n",
-      "   2 True\t2895860258534594364\t<\t7565393412997430441\n",
-      "   2 False\t7565393412997430441\t>\t7342181020879257567\n",
-      "   3 False\t7342181020879257567\t>\t2266985301909744129\n",
-      "   4 False\t2266985301909744129\t>\t820380856725763012\n",
-      "   5 False\t820380856725763012\t>\t107676454158984950\n",
-      "   6 False\t107676454158984950\t>\t3942012748286696\n",
-      "   7 False\t3942012748286696\t>\t398599318835354\n",
-      "   8 False\t398599318835354\t>\t364018101837861\n",
-      "   9 False\t364018101837861\t>\t35488270493456\n",
-      "  10 False\t35488270493456\t>\t11690399392412\n",
-      "  11 False\t11690399392412\t>\t7397934020655\n",
-      "   2 True\t7397934020655\t<\t239910013555234632\n",
-      "   3 True\t239910013555234632\t<\t7000080075992449963\n",
-      "   4 True\t7000080075992449963\t<\t9209241573540704830\n",
-      "   2 False\t9209241573540704830\t>\t7875170441907569420\n",
-      "   3 False\t7875170441907569420\t>\t2581114774733985323\n",
-      "   4 False\t2581114774733985323\t>\t2064449618932106593\n",
-      "   5 False\t2064449618932106593\t>\t1081783601950325326\n",
-      "   6 False\t1081783601950325326\t>\t612493530626815294\n",
-      "   7 False\t612493530626815294\t>\t534853457589873118\n",
-      "   8 False\t534853457589873118\t>\t150305548649837675\n",
-      "   9 False\t150305548649837675\t>\t81371721041646674\n",
-      "  10 False\t81371721041646674\t>\t16603902716402257\n",
-      "  11 False\t16603902716402257\t>\t13687476995175679\n",
-      "  12 False\t13687476995175679\t>\t5746506853544012\n",
-      "  13 False\t5746506853544012\t>\t3996110395409065\n",
-      "   2 True\t3996110395409065\t<\t8353708452738640658\n",
-      "   2 False\t8353708452738640658\t>\t6066389433178209250\n",
-      "   2 True\t6066389433178209250\t<\t8001525352452528720\n",
-      "   3 True\t8001525352452528720\t<\t8260066985542629471\n",
-      "   4 True\t8260066985542629471\t<\t8692989740718788735\n",
-      "   2 False\t8692989740718788735\t>\t8334602218895888154\n",
-      "   3 False\t8334602218895888154\t>\t1293119556379908950\n",
-      "   4 False\t1293119556379908950\t>\t466424745189727099\n",
-      "   1 False\t466424745189727099\t=\t466424745189727099\n",
-      "   2 True\t466424745189727099\t<\t7538108370657075780\n",
-      "   3 True\t7538108370657075780\t<\t8491475057101477359\n",
-      "   4 True\t8491475057101477359\t<\t8671752451285708297\n",
-      "   5 True\t8671752451285708297\t<\t9199959953622049667\n",
-      "   6 True\t9199959953622049667\t<\t9220410082633071363\n",
-      "   7 True\t9220410082633071363\t<\t9220662518859042243\n",
-      "   8 True\t9220662518859042243\t<\t9221543034638495102\n",
-      "   2 False\t9221543034638495102\t>\t3102523735276088244\n",
-      "   3 False\t3102523735276088244\t>\t2154474362341858076\n",
-      "   2 True\t2154474362341858076\t<\t6994748520305580512\n",
-      "   3 True\t6994748520305580512\t<\t7410157450787387911\n",
-      "   4 True\t7410157450787387911\t<\t8338853200028388518\n",
-      "   5 True\t8338853200028388518\t<\t8522579136788064642\n",
-      "   2 False\t8522579136788064642\t>\t6460218948703844541\n",
-      "   2 True\t6460218948703844541\t<\t9045725246840089169\n",
-      "   3 True\t9045725246840089169\t<\t9087740372987998644\n",
-      "   2 False\t9087740372987998644\t>\t7772410568705243010\n",
-      "   2 True\t7772410568705243010\t<\t9153216706475102845\n",
-      "   3 True\t9153216706475102845\t<\t9196884809658623058\n",
-      "   4 True\t9196884809658623058\t<\t9211861769028991865\n",
-      "   1 True\t9211861769028991865\t=\t9211861769028991865\n",
-      "   2 False\t9211861769028991865\t>\t8848143477433468305\n",
-      "   3 False\t8848143477433468305\t>\t7414630653306849935\n",
-      "   4 False\t7414630653306849935\t>\t3434543109835626398\n",
-      "   5 False\t3434543109835626398\t>\t2729640277699781314\n",
-      "   6 False\t2729640277699781314\t>\t321322310490861214\n",
-      "   7 False\t321322310490861214\t>\t300193910458829470\n",
-      "   8 False\t300193910458829470\t>\t234882777861327157\n",
-      "   9 False\t234882777861327157\t>\t187811398571998687\n",
-      "  10 False\t187811398571998687\t>\t133785465805764494\n",
-      "   1 False\t133785465805764494\t=\t133785465805764494\n",
-      "   2 True\t133785465805764494\t<\t8264687784575050927\n",
-      "   2 False\t8264687784575050927\t>\t7119741202227460956\n",
-      "   3 False\t7119741202227460956\t>\t5079891973746272729\n",
-      "   4 False\t5079891973746272729\t>\t1533472596618247975\n",
-      "   2 True\t1533472596618247975\t<\t3053920839448115966\n",
-      "   3 True\t3053920839448115966\t<\t3305968161766808819\n",
-      "   2 False\t3305968161766808819\t>\t3053490526145447873\n",
-      "   3 False\t3053490526145447873\t>\t149412628707938094\n",
-      "   4 False\t149412628707938094\t>\t112027226291475980\n",
-      "   5 False\t112027226291475980\t>\t106044390495202054\n",
-      "   6 False\t106044390495202054\t>\t41367110097081563\n",
-      "   7 False\t41367110097081563\t>\t27560773314323328\n",
-      "   2 True\t27560773314323328\t<\t1869409141404126102\n",
-      "   3 True\t1869409141404126102\t<\t8212134006876234967\n",
-      "   4 True\t8212134006876234967\t<\t8698498908137708684\n",
-      "   5 True\t8698498908137708684\t<\t8886978912431456904\n",
-      "   6 True\t8886978912431456904\t<\t8987432807012687172\n",
-      "   7 True\t8987432807012687172\t<\t9035136827883069156\n",
-      "   8 True\t9035136827883069156\t<\t9097769550235416614\n",
-      "   2 False\t9097769550235416614\t>\t3660451501544905933\n",
-      "   3 False\t3660451501544905933\t>\t2303341218004652321\n",
-      "   2 True\t2303341218004652321\t<\t7006039566571389026\n",
-      "   1 True\t7006039566571389026\t=\t7006039566571389026\n",
-      "   2 False\t7006039566571389026\t>\t2525855783263163305\n",
-      "   2 True\t2525855783263163305\t<\t6178670463703364809\n",
-      "   3 True\t6178670463703364809\t<\t7193306375006099186\n",
-      "   4 True\t7193306375006099186\t<\t8360945876285209336\n",
-      "   5 True\t8360945876285209336\t<\t8790508002140771238\n",
-      "   2 False\t8790508002140771238\t>\t7722079783186174776\n",
-      "   2 True\t7722079783186174776\t<\t8010261079359393847\n",
-      "   2 False\t8010261079359393847\t>\t1645275286346752615\n",
-      "   3 False\t1645275286346752615\t>\t151054194531276383\n",
-      "   4 False\t151054194531276383\t>\t62892456378216727\n",
-      "   5 False\t62892456378216727\t>\t18610286703835137\n",
-      "   6 False\t18610286703835137\t>\t3554911358501987\n",
-      "   7 False\t3554911358501987\t>\t3311388031136507\n",
-      "   2 True\t3311388031136507\t<\t1932152051992129869\n",
-      "   3 True\t1932152051992129869\t<\t7707244724328503692\n",
-      "   4 True\t7707244724328503692\t<\t8752039404344012594\n",
-      "   2 False\t8752039404344012594\t>\t487537033649559960\n",
-      "   3 False\t487537033649559960\t>\t457879007231417735\n",
-      "   2 True\t457879007231417735\t<\t1186160083401614214\n",
-      "   3 True\t1186160083401614214\t<\t8089674216281133689\n",
-      "   2 False\t8089674216281133689\t>\t7172245104556851536\n",
-      "   3 False\t7172245104556851536\t>\t6971013807110657540\n",
-      "   4 False\t6971013807110657540\t>\t1914440656374934877\n",
-      "   5 False\t1914440656374934877\t>\t630836182059003902\n",
-      "   2 True\t630836182059003902\t<\t1258954655409350661\n",
-      "   3 True\t1258954655409350661\t<\t5828120845292600393\n",
-      "   2 False\t5828120845292600393\t>\t5626242932563994189\n",
-      "   3 False\t5626242932563994189\t>\t1552519531858399489\n",
-      "   4 False\t1552519531858399489\t>\t1197143850449549431\n",
-      "   5 False\t1197143850449549431\t>\t866958850455986851\n",
-      "   6 False\t866958850455986851\t>\t752944911637531040\n",
-      "   2 True\t752944911637531040\t<\t1351215741743983942\n",
-      "   3 True\t1351215741743983942\t<\t2889482558774966511\n",
-      "   4 True\t2889482558774966511\t<\t7618472517709077421\n",
-      "   5 True\t7618472517709077421\t<\t7786902718308669990\n",
-      "   6 True\t7786902718308669990\t<\t8213764196343445083\n",
-      "   2 False\t8213764196343445083\t>\t3231704856983943682\n",
-      "   2 True\t3231704856983943682\t<\t8808912463389446320\n",
-      "   3 True\t8808912463389446320\t<\t8950412105667720277\n",
-      "   4 True\t8950412105667720277\t<\t9147934328451987275\n",
-      "   5 True\t9147934328451987275\t<\t9222119820496794876\n",
-      "   2 False\t9222119820496794876\t>\t4904726138092409781\n",
-      "   2 True\t4904726138092409781\t<\t8456086641415910360\n",
-      "   3 True\t8456086641415910360\t<\t9035399315938841226\n",
-      "   4 True\t9035399315938841226\t<\t9208608164818136221\n",
-      "   5 True\t9208608164818136221\t<\t9215872536061473344\n",
-      "   2 False\t9215872536061473344\t>\t366988822779872846\n",
-      "   3 False\t366988822779872846\t>\t25935612354091384\n",
-      "   4 False\t25935612354091384\t>\t20150294250100656\n",
-      "   5 False\t20150294250100656\t>\t7746134428952101\n",
-      "   2 True\t7746134428952101\t<\t5589033495100233567\n",
-      "   2 False\t5589033495100233567\t>\t4434052128163630845\n",
-      "   3 False\t4434052128163630845\t>\t638797802350019221\n",
-      "   4 False\t638797802350019221\t>\t39929033602722147\n",
-      "   5 False\t39929033602722147\t>\t1401704468378087\n",
-      "   6 False\t1401704468378087\t>\t107130921819965\n",
-      "   2 True\t107130921819965\t<\t164829859164568028\n",
-      "   3 True\t164829859164568028\t<\t8612225607898827942\n",
-      "   4 True\t8612225607898827942\t<\t9155124958983252765\n",
-      "   5 True\t9155124958983252765\t<\t9156790681260187731\n",
-      "   2 False\t9156790681260187731\t>\t2192455296305310268\n",
-      "   3 False\t2192455296305310268\t>\t2169700747632331764\n",
-      "   4 False\t2169700747632331764\t>\t263614621965567566\n",
-      "   5 False\t263614621965567566\t>\t117607937312616847\n",
-      "   6 False\t117607937312616847\t>\t21112142107219962\n",
-      "   7 False\t21112142107219962\t>\t1027168307764382\n",
-      "   2 True\t1027168307764382\t<\t1913975722737021481\n",
-      "   2 False\t1913975722737021481\t>\t244595531120845618\n",
-      "   3 False\t244595531120845618\t>\t123782132547046525\n",
-      "   4 False\t123782132547046525\t>\t16809615588935255\n",
-      "   2 True\t16809615588935255\t<\t6851171037232042300\n",
-      "   3 True\t6851171037232042300\t<\t7786779309726625718\n",
-      "   4 True\t7786779309726625718\t<\t7960492116409209272\n",
-      "   2 False\t7960492116409209272\t>\t324767376659220582\n",
-      "   3 False\t324767376659220582\t>\t114380459570257935\n",
-      "   4 False\t114380459570257935\t>\t100207966412737670\n",
-      "   5 False\t100207966412737670\t>\t12175057980577071\n",
-      "   2 True\t12175057980577071\t<\t2384308361521926043\n",
-      "   3 True\t2384308361521926043\t<\t4166980105322307409\n",
-      "   2 False\t4166980105322307409\t>\t4029902125005198376\n",
-      "   3 False\t4029902125005198376\t>\t2346971157214238192\n",
-      "   2 True\t2346971157214238192\t<\t9050197083608229804\n",
-      "   3 True\t9050197083608229804\t<\t9143453509781656462\n",
-      "   4 True\t9143453509781656462\t<\t9175273660458319711\n",
-      "   5 True\t9175273660458319711\t<\t9189347569235554238\n",
-      "   2 False\t9189347569235554238\t>\t5535640758288979680\n",
-      "   3 False\t5535640758288979680\t>\t2645005635634360565\n",
-      "   4 False\t2645005635634360565\t>\t873344702873934011\n",
-      "   2 True\t873344702873934011\t<\t5560814375720386381\n",
-      "   3 True\t5560814375720386381\t<\t7746960028535554462\n",
-      "   4 True\t7746960028535554462\t<\t8047191765962634008\n",
-      "   5 True\t8047191765962634008\t<\t8079695413453813455\n",
-      "   6 True\t8079695413453813455\t<\t8873363015240697695\n",
-      "   7 True\t8873363015240697695\t<\t8878618023773475391\n",
-      "   8 True\t8878618023773475391\t<\t8992613703814939038\n",
-      "   9 True\t8992613703814939038\t<\t9095290489767398611\n",
-      "  10 True\t9095290489767398611\t<\t9166535379506076278\n",
-      "  11 True\t9166535379506076278\t<\t9182076898440252649\n",
-      "   2 False\t9182076898440252649\t>\t1822506183969491191\n",
-      "   3 False\t1822506183969491191\t>\t453679751005990417\n",
-      "   4 False\t453679751005990417\t>\t403031417378502615\n",
-      "   5 False\t403031417378502615\t>\t143755241704186379\n",
-      "   2 True\t143755241704186379\t<\t8495069399693203076\n",
-      "   2 False\t8495069399693203076\t>\t7223513670262202400\n",
-      "   3 False\t7223513670262202400\t>\t3547061235250634860\n",
-      "   4 False\t3547061235250634860\t>\t2450328147854785367\n",
-      "   5 False\t2450328147854785367\t>\t1632496553110943247\n",
-      "   6 False\t1632496553110943247\t>\t524256069673546485\n",
-      "   2 True\t524256069673546485\t<\t5742460356923090271\n",
-      "   2 False\t5742460356923090271\t>\t4706790458385718798\n",
-      "   3 False\t4706790458385718798\t>\t3480423240591588634\n",
-      "   4 False\t3480423240591588634\t>\t2550752088809257130\n",
-      "   5 False\t2550752088809257130\t>\t870873017724503605\n",
-      "   2 True\t870873017724503605\t<\t5598130547490140136\n",
-      "   3 True\t5598130547490140136\t<\t7453186958731739185\n",
-      "   4 True\t7453186958731739185\t<\t9010169584715819980\n",
-      "   5 True\t9010169584715819980\t<\t9158919817574566114\n",
-      "   6 True\t9158919817574566114\t<\t9205609638396093681\n",
-      "   7 True\t9205609638396093681\t<\t9212716310477808975\n",
-      "   8 True\t9212716310477808975\t<\t9213069064487458625\n",
-      "   2 False\t9213069064487458625\t>\t8254171822679068198\n",
-      "   3 False\t8254171822679068198\t>\t8104195884315458623\n",
-      "   2 True\t8104195884315458623\t<\t8210822344800942517\n",
-      "   3 True\t8210822344800942517\t<\t8384954628866241332\n",
-      "   4 True\t8384954628866241332\t<\t9112401830349795576\n",
-      "   1 True\t9112401830349795576\t=\t9112401830349795576\n",
-      "   2 True\t9112401830349795576\t<\t9133888653512117127\n",
-      "   3 True\t9133888653512117127\t<\t9171626256950783009\n",
-      "   2 False\t9171626256950783009\t>\t6331949186408814673\n",
-      "   3 False\t6331949186408814673\t>\t715633638493980908\n",
-      "   2 True\t715633638493980908\t<\t1673550933757267904\n",
-      "   3 True\t1673550933757267904\t<\t1930687457883061705\n",
-      "   4 True\t1930687457883061705\t<\t5158475463535866590\n",
-      "   2 False\t5158475463535866590\t>\t1747994478715302900\n",
-      "   3 False\t1747994478715302900\t>\t1601367584175370540\n",
-      "   1 False\t1601367584175370540\t=\t1601367584175370540\n",
-      "   2 False\t1601367584175370540\t>\t892596929482934083\n",
-      "   2 True\t892596929482934083\t<\t892678660046402046\n",
-      "   3 True\t892678660046402046\t<\t1788893795644828391\n",
-      "   4 True\t1788893795644828391\t<\t8996094199789391265\n",
-      "   1 True\t8996094199789391265\t=\t8996094199789391265\n",
-      "   2 False\t8996094199789391265\t>\t519913519974167124\n",
-      "   3 False\t519913519974167124\t>\t106254014765052946\n",
-      "   4 False\t106254014765052946\t>\t62907836588896266\n",
-      "   5 False\t62907836588896266\t>\t1207903038318053\n",
-      "   6 False\t1207903038318053\t>\t1205461532099915\n",
-      "   1 False\t1205461532099915\t=\t1205461532099915\n",
-      "   2 True\t1205461532099915\t<\t2579095197382141457\n",
-      "   3 True\t2579095197382141457\t<\t6847519468766661813\n",
-      "   4 True\t6847519468766661813\t<\t8633297348545058287\n",
-      "   5 True\t8633297348545058287\t<\t8762928921554426607\n",
-      "   2 False\t8762928921554426607\t>\t3395220228127850249\n",
-      "   3 False\t3395220228127850249\t>\t3252305862529517333\n",
-      "   1 False\t3252305862529517333\t=\t3252305862529517333\n",
-      "   1 False\t3252305862529517333\t=\t3252305862529517333\n",
-      "   2 True\t3252305862529517333\t<\t3813748928886372506\n",
-      "   3 True\t3813748928886372506\t<\t7305706431454379913\n",
-      "   4 True\t7305706431454379913\t<\t7645263454976965789\n",
-      "   5 True\t7645263454976965789\t<\t7769714383889001619\n",
-      "   2 False\t7769714383889001619\t>\t2723781616338626439\n",
-      "   3 False\t2723781616338626439\t>\t1446702957346987772\n",
-      "   4 False\t1446702957346987772\t>\t1026471842995475345\n",
-      "   5 False\t1026471842995475345\t>\t346278494854982211\n",
-      "   6 False\t346278494854982211\t>\t225306136569008107\n",
-      "   2 True\t225306136569008107\t<\t8035205592142036164\n",
-      "   3 True\t8035205592142036164\t<\t8473377899726288900\n",
-      "   2 False\t8473377899726288900\t>\t7728570944297085526\n",
-      "   3 False\t7728570944297085526\t>\t1864443606418835234\n",
-      "   2 True\t1864443606418835234\t<\t6027927661730982034\n",
-      "   3 True\t6027927661730982034\t<\t8398550420129315811\n",
-      "   4 True\t8398550420129315811\t<\t8567754005843693727\n",
-      "   1 True\t8567754005843693727\t=\t8567754005843693727\n",
-      "   2 True\t8567754005843693727\t<\t9193672143498188038\n",
-      "   3 True\t9193672143498188038\t<\t9202512879097624881\n",
-      "   4 True\t9202512879097624881\t<\t9211005952588924939\n",
-      "   5 True\t9211005952588924939\t<\t9221129851752272843\n",
-      "   2 False\t9221129851752272843\t>\t728929892754631697\n",
-      "   2 True\t728929892754631697\t<\t4504311966561650317\n",
-      "   3 True\t4504311966561650317\t<\t7034872817966657589\n",
-      "   2 False\t7034872817966657589\t>\t1726899837489162170\n",
-      "   3 False\t1726899837489162170\t>\t927632213184842377\n",
-      "   4 False\t927632213184842377\t>\t864496056323260846\n",
-      "   5 False\t864496056323260846\t>\t722739269911845887\n",
-      "   6 False\t722739269911845887\t>\t440329430178811865\n",
-      "   7 False\t440329430178811865\t>\t78744297346796051\n",
-      "   1 False\t78744297346796051\t=\t78744297346796051\n",
-      "   2 True\t78744297346796051\t<\t8125322090657020743\n",
-      "   2 False\t8125322090657020743\t>\t5729379182549241526\n",
-      "   3 False\t5729379182549241526\t>\t5244822615965881109\n",
-      "   4 False\t5244822615965881109\t>\t4394823558287324307\n",
-      "   2 True\t4394823558287324307\t<\t7875366110454789328\n",
-      "   3 True\t7875366110454789328\t<\t8766183945230673482\n",
-      "   1 True\t8766183945230673482\t=\t8766183945230673482\n",
-      "   2 False\t8766183945230673482\t>\t2152077988117873223\n",
-      "   2 True\t2152077988117873223\t<\t4464009781742857332\n",
-      "   3 True\t4464009781742857332\t<\t6226635150081293050\n",
-      "   4 True\t6226635150081293050\t<\t8647749789159097046\n",
-      "   5 True\t8647749789159097046\t<\t8940462134963446604\n",
-      "   2 False\t8940462134963446604\t>\t3220234316436558088\n",
-      "   3 False\t3220234316436558088\t>\t2628212494023776196\n",
-      "   2 True\t2628212494023776196\t<\t7932781844520878934\n",
-      "   2 False\t7932781844520878934\t>\t5953841272013754399\n",
-      "   3 False\t5953841272013754399\t>\t5073064701243401340\n",
-      "   4 False\t5073064701243401340\t>\t5039187984878407208\n",
-      "   2 True\t5039187984878407208\t<\t5900297028439207082\n",
-      "   2 False\t5900297028439207082\t>\t5095569463975020441\n",
-      "   2 True\t5095569463975020441\t<\t8942494422185713418\n",
-      "   2 False\t8942494422185713418\t>\t1213592407933063724\n",
-      "   3 False\t1213592407933063724\t>\t825766005456786101\n",
-      "   2 True\t825766005456786101\t<\t829302427888876270\n",
-      "   3 True\t829302427888876270\t<\t4139356476681022126\n",
-      "   4 True\t4139356476681022126\t<\t6653466547287254448\n",
-      "   2 False\t6653466547287254448\t>\t3035984358802223261\n",
-      "   3 False\t3035984358802223261\t>\t2961838098159190626\n",
-      "   4 False\t2961838098159190626\t>\t332234546037873309\n",
-      "   1 False\t332234546037873309\t=\t332234546037873309\n",
-      "   2 False\t332234546037873309\t>\t327630698458888513\n",
-      "   3 False\t327630698458888513\t>\t17524142327249498\n",
-      "   4 False\t17524142327249498\t>\t2405344672661922\n",
-      "   1 False\t2405344672661922\t=\t2405344672661922\n",
-      "   2 False\t2405344672661922\t>\t602090140445089\n",
-      "   3 False\t602090140445089\t>\t79226512651820\n",
-      "   2 True\t79226512651820\t<\t6769083420342714560\n",
-      "   3 True\t6769083420342714560\t<\t7191504366574592922\n",
-      "   4 True\t7191504366574592922\t<\t8056883322319135161\n",
-      "   5 True\t8056883322319135161\t<\t9046683530919962172\n",
-      "   6 True\t9046683530919962172\t<\t9213319073709983349\n",
-      "   2 False\t9213319073709983349\t>\t5556495673698400606\n",
-      "   2 True\t5556495673698400606\t<\t7988554393400630379\n",
-      "   3 True\t7988554393400630379\t<\t9107318481221834606\n",
-      "   2 False\t9107318481221834606\t>\t7289667497414972269\n",
-      "   3 False\t7289667497414972269\t>\t4456726879968859386\n",
-      "   4 False\t4456726879968859386\t>\t104635716794411821\n",
-      "   5 False\t104635716794411821\t>\t101237786802699054\n",
-      "   2 True\t101237786802699054\t<\t2578374120138376047\n",
-      "   2 False\t2578374120138376047\t>\t2381791160532751420\n",
-      "   3 False\t2381791160532751420\t>\t244910016280989566\n",
-      "   1 False\t244910016280989566\t=\t244910016280989566\n",
-      "   2 False\t244910016280989566\t>\t83164029919065500\n",
-      "   2 True\t83164029919065500\t<\t8067657001312791384\n",
-      "   3 True\t8067657001312791384\t<\t8212537597892989757\n",
-      "   4 True\t8212537597892989757\t<\t8568201449903287364\n",
-      "   2 False\t8568201449903287364\t>\t8301694080671833008\n",
-      "   1 False\t8301694080671833008\t=\t8301694080671833008\n",
-      "   2 True\t8301694080671833008\t<\t9113120159074936846\n",
-      "   3 True\t9113120159074936846\t<\t9158654970385011203\n",
-      "   4 True\t9158654970385011203\t<\t9214727199050802294\n",
-      "   2 False\t9214727199050802294\t>\t2325327246038380578\n",
-      "   3 False\t2325327246038380578\t>\t355326920947070200\n",
-      "   4 False\t355326920947070200\t>\t75047524735502241\n",
-      "   5 False\t75047524735502241\t>\t63360970107164469\n",
-      "   6 False\t63360970107164469\t>\t21414185980779207\n",
-      "   7 False\t21414185980779207\t>\t6171383309328764\n",
-      "   2 True\t6171383309328764\t<\t8782896688905587175\n",
-      "   3 True\t8782896688905587175\t<\t9120518021207420971\n",
-      "   4 True\t9120518021207420971\t<\t9134479738757754151\n",
-      "   2 False\t9134479738757754151\t>\t5460324514917125300\n",
-      "   3 False\t5460324514917125300\t>\t4462182363755210182\n",
-      "   4 False\t4462182363755210182\t>\t631184971581329690\n",
-      "   5 False\t631184971581329690\t>\t211088027035479856\n",
-      "   2 True\t211088027035479856\t<\t4722010699418336771\n",
-      "   3 True\t4722010699418336771\t<\t7365608095618487047\n",
-      "   4 True\t7365608095618487047\t<\t7937627300710764557\n",
-      "   5 True\t7937627300710764557\t<\t8939635455129368407\n",
-      "   2 False\t8939635455129368407\t>\t8211487341884022313\n",
-      "   3 False\t8211487341884022313\t>\t3301230398752051205\n",
-      "   1 False\t3301230398752051205\t=\t3301230398752051205\n",
-      "   2 True\t3301230398752051205\t<\t8470962863142731257\n",
-      "   3 True\t8470962863142731257\t<\t8776541096955746675\n",
-      "   4 True\t8776541096955746675\t<\t9135326992808283468\n",
-      "   5 True\t9135326992808283468\t<\t9202007772081914538\n",
-      "   6 True\t9202007772081914538\t<\t9209835892426764094\n",
-      "   7 True\t9209835892426764094\t<\t9213086248528412927\n",
-      "   8 True\t9213086248528412927\t<\t9216583942537353591\n",
-      "   2 False\t9216583942537353591\t>\t369156926719721573\n",
-      "   3 False\t369156926719721573\t>\t292843624890313955\n",
-      "   4 False\t292843624890313955\t>\t128951943335498584\n",
-      "   5 False\t128951943335498584\t>\t11035742897106919\n",
-      "   2 True\t11035742897106919\t<\t4548927960522421768\n",
-      "   3 True\t4548927960522421768\t<\t5172186123546465592\n",
-      "   4 True\t5172186123546465592\t<\t8267826574470245892\n",
-      "   5 True\t8267826574470245892\t<\t9057186941187718432\n",
-      "   6 True\t9057186941187718432\t<\t9218261091203879505\n",
-      "   7 True\t9218261091203879505\t<\t9219494037507317395\n",
-      "   2 False\t9219494037507317395\t>\t51735375182748941\n",
-      "   2 True\t51735375182748941\t<\t7824439153783838648\n",
-      "   1 True\t7824439153783838648\t=\t7824439153783838648\n",
-      "   2 False\t7824439153783838648\t>\t3803330878701883434\n",
-      "   2 True\t3803330878701883434\t<\t4234599702935766369\n",
-      "   2 False\t4234599702935766369\t>\t1225055663429974101\n",
-      "   3 False\t1225055663429974101\t>\t651088220089318386\n",
-      "   4 False\t651088220089318386\t>\t406672895488453886\n",
-      "   5 False\t406672895488453886\t>\t366106631821909217\n",
-      "   2 True\t366106631821909217\t<\t958092925859638467\n",
-      "   3 True\t958092925859638467\t<\t1782418113703669144\n",
-      "   4 True\t1782418113703669144\t<\t2707449044048871815\n",
-      "   1 True\t2707449044048871815\t=\t2707449044048871815\n",
-      "   2 False\t2707449044048871815\t>\t1853122593959781653\n",
-      "   3 False\t1853122593959781653\t>\t540369925277195761\n",
-      "   4 False\t540369925277195761\t>\t389332147372072757\n",
-      "   2 True\t389332147372072757\t<\t2008128699449281670\n",
-      "   2 False\t2008128699449281670\t>\t1947681341130992935\n",
-      "   3 False\t1947681341130992935\t>\t237554602377721829\n",
-      "   4 False\t237554602377721829\t>\t219055980689877820\n",
-      "   1 False\t219055980689877820\t=\t219055980689877820\n",
-      "   2 True\t219055980689877820\t<\t5287592619444669681\n",
-      "   2 False\t5287592619444669681\t>\t4365635016415598115\n",
-      "   3 False\t4365635016415598115\t>\t1304687057857164510\n",
-      "   4 False\t1304687057857164510\t>\t1114188724192187629\n",
-      "   5 False\t1114188724192187629\t>\t619466721467897595\n",
-      "   6 False\t619466721467897595\t>\t577077886305927486\n",
-      "   2 True\t577077886305927486\t<\t5446677800867988218\n",
-      "   3 True\t5446677800867988218\t<\t8317733722947759901\n",
-      "   4 True\t8317733722947759901\t<\t8953762388128273339\n",
-      "   5 True\t8953762388128273339\t<\t9112286645752853543\n",
-      "   1 True\t9112286645752853543\t=\t9112286645752853543\n",
-      "   2 True\t9112286645752853543\t<\t9219857005882947504\n",
-      "   3 True\t9219857005882947504\t<\t9220755099786038969\n",
-      "   4 True\t9220755099786038969\t<\t9223259769714329549\n",
-      "   5 True\t9223259769714329549\t<\t9223293738122891875\n",
-      "   6 True\t9223293738122891875\t<\t9223365017081988372\n",
-      "   7 True\t9223365017081988372\t<\t9223368542417562248\n",
-      "   2 False\t9223368542417562248\t>\t5523525341886696903\n",
-      "   3 False\t5523525341886696903\t>\t1011419308626785009\n",
-      "   4 False\t1011419308626785009\t>\t771253210542466362\n",
-      "   5 False\t771253210542466362\t>\t508521117271342057\n",
-      "   6 False\t508521117271342057\t>\t301208768925936190\n",
-      "   7 False\t301208768925936190\t>\t71789880255103810\n",
-      "   8 False\t71789880255103810\t>\t8913043379534928\n",
-      "   9 False\t8913043379534928\t>\t4378733186957544\n",
-      "  10 False\t4378733186957544\t>\t2776153097351001\n",
-      "  11 False\t2776153097351001\t>\t467423495234762\n",
-      "  12 False\t467423495234762\t>\t248142248142686\n",
-      "  13 False\t248142248142686\t>\t203873897596922\n",
-      "   2 True\t203873897596922\t<\t5444630596240020116\n",
-      "   2 False\t5444630596240020116\t>\t4882439840608018985\n",
-      "   1 False\t4882439840608018985\t=\t4882439840608018985\n",
-      "   2 False\t4882439840608018985\t>\t2901311295307287175\n",
-      "   2 True\t2901311295307287175\t<\t6587437659814528445\n",
-      "   3 True\t6587437659814528445\t<\t8694752265068398613\n",
-      "   2 False\t8694752265068398613\t>\t3513011092113111646\n",
-      "   2 True\t3513011092113111646\t<\t8220157574478857217\n",
-      "   2 False\t8220157574478857217\t>\t6830462651890301380\n",
-      "   2 True\t6830462651890301380\t<\t6968964899582726804\n",
-      "   3 True\t6968964899582726804\t<\t8444740669745478994\n",
-      "   2 False\t8444740669745478994\t>\t3625251469762156272\n",
-      "   3 False\t3625251469762156272\t>\t735740784842305392\n",
-      "   4 False\t735740784842305392\t>\t636387465053756354\n",
-      "   2 True\t636387465053756354\t<\t5776300903439573612\n",
-      "   3 True\t5776300903439573612\t<\t7473197455893310445\n",
-      "   2 False\t7473197455893310445\t>\t3645047939847906840\n",
-      "   3 False\t3645047939847906840\t>\t3149504275867169860\n",
-      "   4 False\t3149504275867169860\t>\t327983917380493724\n",
-      "   5 False\t327983917380493724\t>\t264698237385023449\n",
-      "   2 True\t264698237385023449\t<\t5176503289748445817\n",
-      "   1 True\t5176503289748445817\t=\t5176503289748445817\n",
-      "   2 False\t5176503289748445817\t>\t2314032456268751930\n",
-      "   1 False\t2314032456268751930\t=\t2314032456268751930\n",
-      "   2 True\t2314032456268751930\t<\t7921395814947425977\n",
-      "   3 True\t7921395814947425977\t<\t8974531940254581616\n",
-      "   2 False\t8974531940254581616\t>\t3521300482818529892\n",
-      "   3 False\t3521300482818529892\t>\t254639416728395303\n",
-      "   4 False\t254639416728395303\t>\t12089500735063269\n",
-      "   2 True\t12089500735063269\t<\t6696103509770071625\n",
-      "   3 True\t6696103509770071625\t<\t7049052681636401575\n",
-      "   1 True\t7049052681636401575\t=\t7049052681636401575\n",
-      "   2 True\t7049052681636401575\t<\t7655307864296056174\n",
-      "   3 True\t7655307864296056174\t<\t8089386207560937497\n",
-      "   4 True\t8089386207560937497\t<\t9179776249450430547\n",
-      "   2 False\t9179776249450430547\t>\t7630189003433619147\n",
-      "   3 False\t7630189003433619147\t>\t390974711938124602\n",
-      "   4 False\t390974711938124602\t>\t120122089614662827\n",
-      "   2 True\t120122089614662827\t<\t5810159093735416013\n",
-      "   3 True\t5810159093735416013\t<\t5981718155144660947\n",
-      "   2 False\t5981718155144660947\t>\t1857160924818870075\n",
-      "   3 False\t1857160924818870075\t>\t1370220579912943909\n",
-      "   2 True\t1370220579912943909\t<\t2740184715078482577\n",
-      "   3 True\t2740184715078482577\t<\t7776204164882757562\n",
-      "   4 True\t7776204164882757562\t<\t8321035703562431018\n",
-      "   5 True\t8321035703562431018\t<\t8622236683628969434\n",
-      "   6 True\t8622236683628969434\t<\t9201547839796699532\n",
-      "   1 True\t9201547839796699532\t=\t9201547839796699532\n",
-      "   2 True\t9201547839796699532\t<\t9213668860475570619\n",
-      "   3 True\t9213668860475570619\t<\t9218829241203501220\n",
-      "   4 True\t9218829241203501220\t<\t9219453543520296139\n",
-      "   5 True\t9219453543520296139\t<\t9221545248987501763\n",
-      "   6 True\t9221545248987501763\t<\t9223207170720949924\n",
-      "   7 True\t9223207170720949924\t<\t9223262380216507134\n",
-      "   8 True\t9223262380216507134\t<\t9223298773216359354\n",
-      "   9 True\t9223298773216359354\t<\t9223364764355931646\n",
-      "  10 True\t9223364764355931646\t<\t9223369743210080759\n",
-      "  11 True\t9223369743210080759\t<\t9223371644166260484\n",
-      "   1 True\t9223371644166260484\t=\t9223371644166260484\n",
-      "   2 True\t9223371644166260484\t<\t9223371762712023415\n",
-      "   3 True\t9223371762712023415\t<\t9223371912313700339\n",
-      "   4 True\t9223371912313700339\t<\t9223371971679775381\n",
-      "   1 True\t9223371971679775381\t=\t9223371971679775381\n",
-      "   2 True\t9223371971679775381\t<\t9223372020838476206\n",
-      "   3 True\t9223372020838476206\t<\t9223372031907400058\n",
-      "   4 True\t9223372031907400058\t<\t9223372036663784398\n",
-      "   2 False\t9223372036663784398\t>\t5183668827255850928\n",
-      "   3 False\t5183668827255850928\t>\t1878014735594900207\n",
-      "   4 False\t1878014735594900207\t>\t1829284931510571336\n",
-      "   5 False\t1829284931510571336\t>\t1292348401891795677\n",
-      "   6 False\t1292348401891795677\t>\t953361128670563853\n",
-      "   7 False\t953361128670563853\t>\t404352454422167692\n",
-      "   8 False\t404352454422167692\t>\t58421085051991922\n",
-      "   9 False\t58421085051991922\t>\t39714294618347670\n",
-      "  10 False\t39714294618347670\t>\t10423420512111638\n",
-      "  11 False\t10423420512111638\t>\t2324571493664832\n",
-      "  12 False\t2324571493664832\t>\t687608912611827\n",
-      "  13 False\t687608912611827\t>\t250900970884418\n",
-      "  14 False\t250900970884418\t>\t135756309435505\n",
-      "  15 False\t135756309435505\t>\t2948092962890\n",
-      "   1 False\t2948092962890\t=\t2948092962890\n",
-      "   2 False\t2948092962890\t>\t1563318519258\n",
-      "   3 False\t1563318519258\t>\t1127947108896\n",
-      "   4 False\t1127947108896\t>\t1116136371323\n",
-      "   5 False\t1116136371323\t>\t645933678926\n",
-      "   6 False\t645933678926\t>\t223068903142\n",
-      "   7 False\t223068903142\t>\t167467661038\n",
-      "   2 True\t167467661038\t<\t2272183951227932900\n",
-      "   2 False\t2272183951227932900\t>\t1299905259499098009\n",
-      "   3 False\t1299905259499098009\t>\t1255239702272539765\n",
-      "   1 False\t1255239702272539765\t=\t1255239702272539765\n",
-      "   2 False\t1255239702272539765\t>\t722736290806703090\n",
-      "   2 True\t722736290806703090\t<\t5511102759215997949\n",
-      "   2 False\t5511102759215997949\t>\t3024781734574465483\n",
-      "   3 False\t3024781734574465483\t>\t2426235666775760612\n",
-      "   2 True\t2426235666775760612\t<\t2653309339008185090\n",
-      "   2 False\t2653309339008185090\t>\t2642418093879964361\n",
-      "   3 False\t2642418093879964361\t>\t1884491066831026082\n",
-      "   2 True\t1884491066831026082\t<\t8351343203446464176\n",
-      "   3 True\t8351343203446464176\t<\t8990028794344653569\n",
-      "   4 True\t8990028794344653569\t<\t9093147791420566003\n",
-      "   5 True\t9093147791420566003\t<\t9200982857820320112\n",
-      "   2 False\t9200982857820320112\t>\t9026893639222752166\n",
-      "   3 False\t9026893639222752166\t>\t5748707895742024806\n",
-      "   4 False\t5748707895742024806\t>\t1850708712494426806\n",
-      "   5 False\t1850708712494426806\t>\t694271220425498647\n",
-      "   6 False\t694271220425498647\t>\t84007267571019689\n",
-      "   2 True\t84007267571019689\t<\t3782052076290189053\n",
-      "   3 True\t3782052076290189053\t<\t8121078881867146340\n",
-      "   4 True\t8121078881867146340\t<\t9112472822143013860\n",
-      "   2 False\t9112472822143013860\t>\t9111601845754436038\n",
-      "   3 False\t9111601845754436038\t>\t8030436222189760516\n",
-      "   4 False\t8030436222189760516\t>\t5021044931246752319\n",
-      "   2 True\t5021044931246752319\t<\t8574818976764750484\n",
-      "   3 True\t8574818976764750484\t<\t8985302189016503473\n",
-      "   4 True\t8985302189016503473\t<\t9034419912787133692\n",
-      "   5 True\t9034419912787133692\t<\t9203848716380732843\n",
-      "   1 True\t9203848716380732843\t=\t9203848716380732843\n",
-      "   2 False\t9203848716380732843\t>\t8983512031192206973\n",
-      "   3 False\t8983512031192206973\t>\t2591799957146642930\n",
-      "   4 False\t2591799957146642930\t>\t1242987575910882727\n",
-      "   2 True\t1242987575910882727\t<\t8818933628704201157\n",
-      "   3 True\t8818933628704201157\t<\t8982927895483935231\n",
-      "   4 True\t8982927895483935231\t<\t9013484919924368237\n",
-      "   5 True\t9013484919924368237\t<\t9021278731397919239\n",
-      "   2 False\t9021278731397919239\t>\t5329405755804761936\n",
-      "   2 True\t5329405755804761936\t<\t9202274590986759215\n",
-      "   3 True\t9202274590986759215\t<\t9213744837003957838\n",
-      "   4 True\t9213744837003957838\t<\t9215991168817227352\n",
-      "   5 True\t9215991168817227352\t<\t9220595148646503320\n",
-      "   6 True\t9220595148646503320\t<\t9221059835253820770\n",
-      "   7 True\t9221059835253820770\t<\t9222934472020728607\n",
-      "   2 False\t9222934472020728607\t>\t6680546012768918911\n",
-      "   3 False\t6680546012768918911\t>\t6053740425761792317\n",
-      "   4 False\t6053740425761792317\t>\t1219930345306067590\n",
-      "   5 False\t1219930345306067590\t>\t507222480462951483\n",
-      "   2 True\t507222480462951483\t<\t2334517903199081704\n",
-      "   1 True\t2334517903199081704\t=\t2334517903199081704\n",
-      "   2 True\t2334517903199081704\t<\t3543949553171102088\n",
-      "   3 True\t3543949553171102088\t<\t5249521101757080447\n",
-      "   4 True\t5249521101757080447\t<\t8171028997083861162\n",
-      "   5 True\t8171028997083861162\t<\t9006885844329139743\n",
-      "   2 False\t9006885844329139743\t>\t3455169423575068204\n",
-      "   1 False\t3455169423575068204\t=\t3455169423575068204\n",
-      "   2 False\t3455169423575068204\t>\t1216936298854305651\n",
-      "   3 False\t1216936298854305651\t>\t197973012994191146\n",
-      "   4 False\t197973012994191146\t>\t15036294981074125\n",
-      "   1 False\t15036294981074125\t=\t15036294981074125\n",
-      "   2 True\t15036294981074125\t<\t8206930028851343860\n",
-      "   2 False\t8206930028851343860\t>\t2449504476403446630\n",
-      "   3 False\t2449504476403446630\t>\t1971920199883916382\n",
-      "   4 False\t1971920199883916382\t>\t537798470050877355\n",
-      "   5 False\t537798470050877355\t>\t477387345875829509\n",
-      "   6 False\t477387345875829509\t>\t440652068161788208\n",
-      "   2 True\t440652068161788208\t<\t9043306735592148209\n",
-      "   3 True\t9043306735592148209\t<\t9179270123635073896\n",
-      "   4 True\t9179270123635073896\t<\t9199093224161760319\n",
-      "   2 False\t9199093224161760319\t>\t6687004191370522121\n",
-      "   1 False\t6687004191370522121\t=\t6687004191370522121\n",
-      "   2 False\t6687004191370522121\t>\t4900158073638901608\n",
-      "   3 False\t4900158073638901608\t>\t3318621851745999533\n",
-      "   4 False\t3318621851745999533\t>\t2059028270319689277\n",
-      "   5 False\t2059028270319689277\t>\t845402204203744298\n",
-      "   2 True\t845402204203744298\t<\t4473383505669382975\n",
-      "   2 False\t4473383505669382975\t>\t3857510971015069978\n",
-      "   2 True\t3857510971015069978\t<\t7347234221551535500\n",
-      "   3 True\t7347234221551535500\t<\t7697342937182281860\n",
-      "   4 True\t7697342937182281860\t<\t9102530072162877876\n",
-      "   2 False\t9102530072162877876\t>\t4030892491875054628\n",
-      "   2 True\t4030892491875054628\t<\t6334681408918630975\n",
-      "   1 True\t6334681408918630975\t=\t6334681408918630975\n",
-      "   2 True\t6334681408918630975\t<\t6664111496580504906\n",
-      "   3 True\t6664111496580504906\t<\t8295010011412693178\n",
-      "   4 True\t8295010011412693178\t<\t8746713728687334358\n",
-      "   2 False\t8746713728687334358\t>\t5192694993883701147\n",
-      "   3 False\t5192694993883701147\t>\t3506547347139770725\n",
-      "   1 False\t3506547347139770725\t=\t3506547347139770725\n",
-      "   2 True\t3506547347139770725\t<\t7209561690521227531\n",
-      "   3 True\t7209561690521227531\t<\t8469302880314071481\n",
-      "   1 True\t8469302880314071481\t=\t8469302880314071481\n",
-      "   2 True\t8469302880314071481\t<\t9105528639056108393\n",
-      "   2 False\t9105528639056108393\t>\t5771037638472737075\n",
-      "   3 False\t5771037638472737075\t>\t2459111968658276037\n",
-      "   4 False\t2459111968658276037\t>\t2353537817373393\n",
-      "   1 False\t2353537817373393\t=\t2353537817373393\n",
-      "   2 True\t2353537817373393\t<\t4546335934437480218\n",
-      "   3 True\t4546335934437480218\t<\t8127330028173969185\n",
-      "   4 True\t8127330028173969185\t<\t9125409041597356457\n",
-      "   5 True\t9125409041597356457\t<\t9140521481957169028\n",
-      "   6 True\t9140521481957169028\t<\t9148214215803435825\n",
-      "   7 True\t9148214215803435825\t<\t9202316466577319531\n",
-      "   8 True\t9202316466577319531\t<\t9203042949416327166\n",
-      "   1 True\t9203042949416327166\t=\t9203042949416327166\n",
-      "   2 True\t9203042949416327166\t<\t9218529053574041496\n",
-      "   3 True\t9218529053574041496\t<\t9221105570600716567\n",
-      "   4 True\t9221105570600716567\t<\t9221377064945638541\n",
-      "   5 True\t9221377064945638541\t<\t9223111792090075082\n",
-      "   2 False\t9223111792090075082\t>\t4942439355621100763\n",
-      "   3 False\t4942439355621100763\t>\t660586001395294688\n",
-      "   2 True\t660586001395294688\t<\t1701777806477066467\n",
-      "   2 False\t1701777806477066467\t>\t121317760829887653\n",
-      "   2 True\t121317760829887653\t<\t1186666428916371492\n",
-      "   3 True\t1186666428916371492\t<\t8257154351852148108\n",
-      "   1 True\t8257154351852148108\t=\t8257154351852148108\n",
-      "   2 True\t8257154351852148108\t<\t8510542745038494754\n",
-      "   3 True\t8510542745038494754\t<\t8727121856428518896\n",
-      "   4 True\t8727121856428518896\t<\t8959375110097791105\n",
-      "   5 True\t8959375110097791105\t<\t9134501952486043862\n",
-      "   6 True\t9134501952486043862\t<\t9150022871812360646\n",
-      "   2 False\t9150022871812360646\t>\t4926788955585708377\n",
-      "   2 True\t4926788955585708377\t<\t6332018977890240334\n",
-      "   3 True\t6332018977890240334\t<\t9096074403871803132\n",
-      "   4 True\t9096074403871803132\t<\t9199267914515888017\n",
-      "   5 True\t9199267914515888017\t<\t9204140281853370383\n",
-      "   1 True\t9204140281853370383\t=\t9204140281853370383\n",
-      "   2 True\t9204140281853370383\t<\t9222294099197675245\n",
-      "   3 True\t9222294099197675245\t<\t9222470594314833393\n",
-      "   4 True\t9222470594314833393\t<\t9222703589443451402\n",
-      "   2 False\t9222703589443451402\t>\t1472691559716846311\n",
-      "   2 True\t1472691559716846311\t<\t4383970287331877730\n",
-      "   3 True\t4383970287331877730\t<\t5027905246944863231\n",
-      "   4 True\t5027905246944863231\t<\t8698609135822717755\n",
-      "   5 True\t8698609135822717755\t<\t8849443870838607288\n",
-      "   6 True\t8849443870838607288\t<\t9120021556699552909\n",
-      "   7 True\t9120021556699552909\t<\t9186479673917546428\n",
-      "   8 True\t9186479673917546428\t<\t9203275869989600998\n",
-      "   9 True\t9203275869989600998\t<\t9222987918117181250\n",
-      "  10 True\t9222987918117181250\t<\t9223158822117648427\n",
-      "  11 True\t9223158822117648427\t<\t9223217414653922910\n",
-      "  12 True\t9223217414653922910\t<\t9223228784786721113\n",
-      "  13 True\t9223228784786721113\t<\t9223314603353499538\n",
-      "   1 True\t9223314603353499538\t=\t9223314603353499538\n",
-      "   2 True\t9223314603353499538\t<\t9223361366884997544\n",
-      "   2 False\t9223361366884997544\t>\t3594568665803524527\n",
-      "   2 True\t3594568665803524527\t<\t5133263008343134459\n",
-      "   2 False\t5133263008343134459\t>\t232961849163489643\n",
-      "   3 False\t232961849163489643\t>\t131887507169210594\n",
-      "   4 False\t131887507169210594\t>\t7331624394009899\n",
-      "   5 False\t7331624394009899\t>\t1412755821530808\n",
-      "   6 False\t1412755821530808\t>\t120046077991575\n",
-      "   1 False\t120046077991575\t=\t120046077991575\n",
-      "   2 False\t120046077991575\t>\t90971652432763\n",
-      "   2 True\t90971652432763\t<\t2747100502711563765\n",
-      "   2 False\t2747100502711563765\t>\t348171500479943170\n",
-      "   1 False\t348171500479943170\t=\t348171500479943170\n",
-      "   2 False\t348171500479943170\t>\t23889573756241379\n",
-      "   3 False\t23889573756241379\t>\t13240514724612911\n",
-      "   4 False\t13240514724612911\t>\t3298484044867977\n",
-      "   5 False\t3298484044867977\t>\t11744674318522\n",
-      "   6 False\t11744674318522\t>\t8088841896586\n",
-      "   2 True\t8088841896586\t<\t3747737711044305172\n",
-      "   3 True\t3747737711044305172\t<\t4270171691571843784\n",
-      "   4 True\t4270171691571843784\t<\t8240328937499484035\n",
-      "   5 True\t8240328937499484035\t<\t8604480584946304876\n",
-      "   6 True\t8604480584946304876\t<\t9137467101226654693\n",
-      "   2 False\t9137467101226654693\t>\t2894518644681756965\n",
-      "   3 False\t2894518644681756965\t>\t1907287847492358966\n",
-      "   2 True\t1907287847492358966\t<\t8366036802297439295\n",
-      "   2 False\t8366036802297439295\t>\t5005559722502349895\n",
-      "   2 True\t5005559722502349895\t<\t6524613180923040391\n",
-      "   3 True\t6524613180923040391\t<\t7154936597301913239\n",
-      "   4 True\t7154936597301913239\t<\t8528681931777362126\n",
-      "   5 True\t8528681931777362126\t<\t8626470097171817986\n",
-      "   6 True\t8626470097171817986\t<\t9098588448478376829\n",
-      "   7 True\t9098588448478376829\t<\t9165118423174131290\n",
-      "   1 True\t9165118423174131290\t=\t9165118423174131290\n",
-      "   2 True\t9165118423174131290\t<\t9180494919318001262\n",
-      "   3 True\t9180494919318001262\t<\t9217250684497341792\n",
-      "   2 False\t9217250684497341792\t>\t4478390471380264162\n",
-      "   2 True\t4478390471380264162\t<\t5899266831129754359\n",
-      "   2 False\t5899266831129754359\t>\t1803282495464877793\n",
-      "   3 False\t1803282495464877793\t>\t1070892201894927910\n",
-      "   4 False\t1070892201894927910\t>\t946980812852927544\n",
-      "   2 True\t946980812852927544\t<\t5389394412679194641\n",
-      "   3 True\t5389394412679194641\t<\t8116860944654022323\n",
-      "   2 False\t8116860944654022323\t>\t2018586922050699035\n",
-      "   2 True\t2018586922050699035\t<\t5716200894117991910\n",
-      "   3 True\t5716200894117991910\t<\t6938500200809980565\n",
-      "   4 True\t6938500200809980565\t<\t7274995272257188133\n",
-      "   5 True\t7274995272257188133\t<\t7496867917762053094\n",
-      "   1 True\t7496867917762053094\t=\t7496867917762053094\n",
-      "   2 True\t7496867917762053094\t<\t8456628223292228442\n",
-      "   2 False\t8456628223292228442\t>\t7835950745700624259\n",
-      "   2 True\t7835950745700624259\t<\t8095433540026719367\n",
-      "   3 True\t8095433540026719367\t<\t8314245034194610332\n",
-      "   4 True\t8314245034194610332\t<\t8388511405530224481\n",
-      "   5 True\t8388511405530224481\t<\t8917140103067928774\n",
-      "   6 True\t8917140103067928774\t<\t9149232442292970417\n",
-      "   2 False\t9149232442292970417\t>\t7804358868106910279\n",
-      "   1 False\t7804358868106910279\t=\t7804358868106910279\n",
-      "   2 False\t7804358868106910279\t>\t5634588931839201039\n",
-      "   3 False\t5634588931839201039\t>\t1732564843759545472\n",
-      "   2 True\t1732564843759545472\t<\t8338452299785548911\n",
-      "   3 True\t8338452299785548911\t<\t8814570022406075904\n",
-      "   2 False\t8814570022406075904\t>\t3806750099502377787\n",
-      "   3 False\t3806750099502377787\t>\t2803690051011115184\n",
-      "   4 False\t2803690051011115184\t>\t1483919263975049765\n",
-      "   2 True\t1483919263975049765\t<\t7485389224740502012\n",
-      "   3 True\t7485389224740502012\t<\t7707578743300934365\n",
-      "   4 True\t7707578743300934365\t<\t7835394161734466045\n",
-      "   2 False\t7835394161734466045\t>\t7294720427381905111\n",
-      "   2 True\t7294720427381905111\t<\t7497364371026305248\n",
-      "   3 True\t7497364371026305248\t<\t8044903011531546025\n",
-      "   4 True\t8044903011531546025\t<\t8998228864401786627\n",
-      "   5 True\t8998228864401786627\t<\t8998842088025228569\n",
-      "   6 True\t8998842088025228569\t<\t9136157861492569162\n",
-      "   7 True\t9136157861492569162\t<\t9202443097885814940\n",
-      "   8 True\t9202443097885814940\t<\t9216458219528782975\n",
-      "   9 True\t9216458219528782975\t<\t9221704071668590127\n",
-      "  10 True\t9221704071668590127\t<\t9223300572664011058\n",
-      "  11 True\t9223300572664011058\t<\t9223353389064830093\n",
-      "  12 True\t9223353389064830093\t<\t9223367583705500828\n",
-      "   2 False\t9223367583705500828\t>\t614165630230003755\n",
-      "   3 False\t614165630230003755\t>\t380759525901314834\n",
-      "   2 True\t380759525901314834\t<\t7410956065703591361\n",
-      "   3 True\t7410956065703591361\t<\t7645450050560373258\n",
-      "   4 True\t7645450050560373258\t<\t8681391913095056999\n",
-      "   5 True\t8681391913095056999\t<\t9046558288790971267\n",
-      "   6 True\t9046558288790971267\t<\t9140357566225107922\n",
-      "   2 False\t9140357566225107922\t>\t4766932456826876904\n",
-      "   3 False\t4766932456826876904\t>\t1834484559808430838\n",
-      "   4 False\t1834484559808430838\t>\t1027668206736443213\n",
-      "   2 True\t1027668206736443213\t<\t7156264824912091893\n",
-      "   3 True\t7156264824912091893\t<\t8891072846881859943\n",
-      "   2 False\t8891072846881859943\t>\t5323917924673587447\n",
-      "   3 False\t5323917924673587447\t>\t3897255258462179789\n",
-      "   4 False\t3897255258462179789\t>\t1238921873602971201\n",
-      "   2 True\t1238921873602971201\t<\t8145561477632330801\n",
-      "   3 True\t8145561477632330801\t<\t8678564625982659795\n",
-      "   4 True\t8678564625982659795\t<\t8817495233113057281\n",
-      "   2 False\t8817495233113057281\t>\t622991308103721693\n",
-      "   2 True\t622991308103721693\t<\t7691970736650623461\n",
-      "   3 True\t7691970736650623461\t<\t8838892091703094720\n",
-      "   1 True\t8838892091703094720\t=\t8838892091703094720\n",
-      "   2 False\t8838892091703094720\t>\t6489234844332183776\n",
-      "   3 False\t6489234844332183776\t>\t1528788472642878914\n",
-      "   4 False\t1528788472642878914\t>\t671134232245206794\n",
-      "   5 False\t671134232245206794\t>\t145927131233587761\n",
-      "   2 True\t145927131233587761\t<\t5933615480101346186\n",
-      "   3 True\t5933615480101346186\t<\t5994324448818155440\n",
-      "   2 False\t5994324448818155440\t>\t2475286731558570861\n",
-      "   3 False\t2475286731558570861\t>\t1903162434660838607\n",
-      "   4 False\t1903162434660838607\t>\t1853123010579730055\n",
-      "   2 True\t1853123010579730055\t<\t8382001990832356888\n",
-      "   3 True\t8382001990832356888\t<\t8460088495642157468\n",
-      "   4 True\t8460088495642157468\t<\t8729998384183300195\n",
-      "   5 True\t8729998384183300195\t<\t8764847723583919236\n",
-      "   6 True\t8764847723583919236\t<\t9050548617422092380\n",
-      "   7 True\t9050548617422092380\t<\t9184967238724609720\n",
-      "   2 False\t9184967238724609720\t>\t2469427547880245969\n",
-      "   3 False\t2469427547880245969\t>\t813542202640403762\n",
-      "   2 True\t813542202640403762\t<\t3592163611971382733\n",
-      "   2 False\t3592163611971382733\t>\t94905005339421854\n",
-      "   2 True\t94905005339421854\t<\t7181883238430957550\n",
-      "   2 False\t7181883238430957550\t>\t5785947138380759188\n",
-      "   2 True\t5785947138380759188\t<\t7937740291051946002\n",
-      "   3 True\t7937740291051946002\t<\t8831209340468262949\n",
-      "   4 True\t8831209340468262949\t<\t8998298877149886974\n",
-      "   5 True\t8998298877149886974\t<\t9100441897360087537\n",
-      "   6 True\t9100441897360087537\t<\t9109328343626886476\n",
-      "   7 True\t9109328343626886476\t<\t9148636122610718546\n",
-      "   8 True\t9148636122610718546\t<\t9163736859182475489\n",
-      "   9 True\t9163736859182475489\t<\t9192927958426044507\n",
-      "  10 True\t9192927958426044507\t<\t9195850919174160761\n",
-      "   2 False\t9195850919174160761\t>\t2841166807224504657\n",
-      "   3 False\t2841166807224504657\t>\t1635486322948255561\n",
-      "   2 True\t1635486322948255561\t<\t5157395249590858243\n",
-      "   3 True\t5157395249590858243\t<\t5315595878943119403\n",
-      "   4 True\t5315595878943119403\t<\t7092170059739030122\n",
-      "   5 True\t7092170059739030122\t<\t8131594053644536808\n",
-      "   1 True\t8131594053644536808\t=\t8131594053644536808\n",
-      "   2 True\t8131594053644536808\t<\t8410499257675185108\n",
-      "   3 True\t8410499257675185108\t<\t8845398633049995023\n",
-      "   4 True\t8845398633049995023\t<\t8987248416346420915\n",
-      "   2 False\t8987248416346420915\t>\t8697710065175312642\n",
-      "   3 False\t8697710065175312642\t>\t7257298423485544542\n",
-      "   4 False\t7257298423485544542\t>\t715058541260181284\n",
-      "   5 False\t715058541260181284\t>\t341790019090760882\n",
-      "   6 False\t341790019090760882\t>\t229632856438618795\n",
-      "   2 True\t229632856438618795\t<\t2501414066137359502\n",
-      "   3 True\t2501414066137359502\t<\t9045872268783888526\n",
-      "   4 True\t9045872268783888526\t<\t9185508364899930994\n",
-      "   5 True\t9185508364899930994\t<\t9187476107323847296\n",
-      "   6 True\t9187476107323847296\t<\t9214526319836069142\n",
-      "   7 True\t9214526319836069142\t<\t9218580465859168807\n",
-      "   8 True\t9218580465859168807\t<\t9220288657134884912\n",
-      "   9 True\t9220288657134884912\t<\t9220422228357399864\n",
-      "  10 True\t9220422228357399864\t<\t9221187533690249380\n",
-      "  11 True\t9221187533690249380\t<\t9221564649409502609\n",
-      "   2 False\t9221564649409502609\t>\t2182931388080178483\n",
-      "   3 False\t2182931388080178483\t>\t2058929177579836800\n",
-      "   4 False\t2058929177579836800\t>\t789143216279004246\n",
-      "   5 False\t789143216279004246\t>\t284281439638550675\n",
-      "   2 True\t284281439638550675\t<\t4915775633365484536\n",
-      "   3 True\t4915775633365484536\t<\t7029501879668507010\n",
-      "   4 True\t7029501879668507010\t<\t7142202067267972633\n",
-      "   1 True\t7142202067267972633\t=\t7142202067267972633\n",
-      "   2 True\t7142202067267972633\t<\t8846309510310594862\n",
-      "   3 True\t8846309510310594862\t<\t8960731098362505393\n",
-      "   4 True\t8960731098362505393\t<\t9021819107886802347\n",
-      "   1 True\t9021819107886802347\t=\t9021819107886802347\n",
-      "   2 False\t9021819107886802347\t>\t351403594206617983\n",
-      "   3 False\t351403594206617983\t>\t260341406000265016\n",
-      "   2 True\t260341406000265016\t<\t7161484868926939530\n",
-      "   3 True\t7161484868926939530\t<\t7423200488074773921\n",
-      "   4 True\t7423200488074773921\t<\t8757452510539056244\n",
-      "   5 True\t8757452510539056244\t<\t8856469698713590838\n",
-      "   2 False\t8856469698713590838\t>\t2651920986265898507\n",
-      "   3 False\t2651920986265898507\t>\t488207516074196524\n",
-      "   1 False\t488207516074196524\t=\t488207516074196524\n",
-      "   2 False\t488207516074196524\t>\t169953273830549975\n",
-      "   2 True\t169953273830549975\t<\t7663225263809683473\n",
-      "   2 False\t7663225263809683473\t>\t4469422778582985560\n",
-      "   2 True\t4469422778582985560\t<\t8487513225671163012\n",
-      "   2 False\t8487513225671163012\t>\t452107971273644400\n",
-      "   3 False\t452107971273644400\t>\t70757348251013477\n",
-      "   4 False\t70757348251013477\t>\t16956571907455059\n",
-      "   2 True\t16956571907455059\t<\t485800788307488994\n",
-      "   2 False\t485800788307488994\t>\t346847742339187673\n",
-      "   2 True\t346847742339187673\t<\t8588637714106155852\n",
-      "   2 False\t8588637714106155852\t>\t1001269024182766384\n",
-      "   3 False\t1001269024182766384\t>\t869500393898394585\n",
-      "   4 False\t869500393898394585\t>\t632125695107370545\n",
-      "   2 True\t632125695107370545\t<\t6122061403661449758\n",
-      "   3 True\t6122061403661449758\t<\t6979869342927031110\n",
-      "   4 True\t6979869342927031110\t<\t8413465055288753117\n",
-      "   5 True\t8413465055288753117\t<\t9046941079498105618\n",
-      "   2 False\t9046941079498105618\t>\t8216531053025828609\n",
-      "   3 False\t8216531053025828609\t>\t2110120072372457540\n",
-      "   4 False\t2110120072372457540\t>\t1192543491585638010\n",
-      "   2 True\t1192543491585638010\t<\t4621433162910730794\n",
-      "   3 True\t4621433162910730794\t<\t8641223394611990982\n",
-      "   4 True\t8641223394611990982\t<\t8929356823489329774\n",
-      "   5 True\t8929356823489329774\t<\t9076031747033060700\n",
-      "   6 True\t9076031747033060700\t<\t9199003155336033047\n",
-      "   7 True\t9199003155336033047\t<\t9214617523535230936\n",
-      "   8 True\t9214617523535230936\t<\t9221781141126830866\n",
-      "   9 True\t9221781141126830866\t<\t9221866645969396104\n",
-      "  10 True\t9221866645969396104\t<\t9221901936300445779\n",
-      "  11 True\t9221901936300445779\t<\t9222667541209641673\n",
-      "  12 True\t9222667541209641673\t<\t9223252983401994258\n",
-      "  13 True\t9223252983401994258\t<\t9223302197044719090\n",
-      "   1 True\t9223302197044719090\t=\t9223302197044719090\n",
-      "   2 True\t9223302197044719090\t<\t9223365375617182114\n",
-      "   3 True\t9223365375617182114\t<\t9223365456784595111\n",
-      "   2 False\t9223365456784595111\t>\t3757277946982849551\n",
-      "   3 False\t3757277946982849551\t>\t1738087689457875348\n",
-      "   4 False\t1738087689457875348\t>\t757936400146077727\n",
-      "   5 False\t757936400146077727\t>\t258472986314677925\n",
-      "   2 True\t258472986314677925\t<\t1553859750408120787\n",
-      "   3 True\t1553859750408120787\t<\t8966536191694522164\n",
-      "   2 False\t8966536191694522164\t>\t5484958363591541340\n",
-      "   2 True\t5484958363591541340\t<\t9104745259845493762\n",
-      "   3 True\t9104745259845493762\t<\t9141286875363534716\n",
-      "   4 True\t9141286875363534716\t<\t9168785143837473298\n",
-      "   2 False\t9168785143837473298\t>\t2448337116675321596\n",
-      "   2 True\t2448337116675321596\t<\t3287960873862605289\n",
-      "   3 True\t3287960873862605289\t<\t5052356528467113139\n",
-      "   2 False\t5052356528467113139\t>\t2448931545607593469\n",
-      "   3 False\t2448931545607593469\t>\t470220382114092569\n",
-      "   4 False\t470220382114092569\t>\t391817944672846943\n",
-      "   5 False\t391817944672846943\t>\t376519030358211604\n",
-      "   6 False\t376519030358211604\t>\t298202186443188877\n",
-      "   7 False\t298202186443188877\t>\t25434621188764584\n",
-      "   8 False\t25434621188764584\t>\t13034653922382539\n",
-      "   9 False\t13034653922382539\t>\t4783607535181719\n",
-      "  10 False\t4783607535181719\t>\t3292745314268692\n",
-      "   2 True\t3292745314268692\t<\t3451233283527819981\n",
-      "   2 False\t3451233283527819981\t>\t1256248457117710389\n",
-      "   2 True\t1256248457117710389\t<\t1602172123280484587\n",
-      "   3 True\t1602172123280484587\t<\t3243580798220227811\n",
-      "   4 True\t3243580798220227811\t<\t5526273762422778078\n",
-      "   5 True\t5526273762422778078\t<\t8064641983104526650\n",
-      "   2 False\t8064641983104526650\t>\t679326283836827910\n",
-      "   3 False\t679326283836827910\t>\t158056661460369515\n",
-      "   2 True\t158056661460369515\t<\t6643569191323630224\n",
-      "   3 True\t6643569191323630224\t<\t9175746293290248049\n",
-      "   4 True\t9175746293290248049\t<\t9201753378544995305\n",
-      "   2 False\t9201753378544995305\t>\t2731772589919695832\n",
-      "   3 False\t2731772589919695832\t>\t2402356491859954753\n",
-      "   4 False\t2402356491859954753\t>\t1063307803269594214\n",
-      "   5 False\t1063307803269594214\t>\t186021143258411842\n",
-      "   2 True\t186021143258411842\t<\t9015236981136462810\n",
-      "   3 True\t9015236981136462810\t<\t9134953106904909210\n",
-      "   4 True\t9134953106904909210\t<\t9141374478127504780\n",
-      "   1 True\t9141374478127504780\t=\t9141374478127504780\n",
-      "   2 True\t9141374478127504780\t<\t9205831333045031852\n",
-      "   3 True\t9205831333045031852\t<\t9215400043121191093\n",
-      "   4 True\t9215400043121191093\t<\t9221147756586580125\n",
-      "   5 True\t9221147756586580125\t<\t9222438975645493330\n",
-      "   6 True\t9222438975645493330\t<\t9222945638393244719\n",
-      "   7 True\t9222945638393244719\t<\t9223154572976036679\n",
-      "   1 True\t9223154572976036679\t=\t9223154572976036679\n",
-      "   2 False\t9223154572976036679\t>\t2807477646010045670\n",
-      "   3 False\t2807477646010045670\t>\t916503859162682159\n",
-      "   2 True\t916503859162682159\t<\t8773799099355192479\n",
-      "   3 True\t8773799099355192479\t<\t8803999136079253484\n",
-      "   4 True\t8803999136079253484\t<\t8811849297966627095\n",
-      "   1 True\t8811849297966627095\t=\t8811849297966627095\n",
-      "   2 False\t8811849297966627095\t>\t4547662456493682815\n",
-      "   2 True\t4547662456493682815\t<\t4877472993329232780\n",
-      "   3 True\t4877472993329232780\t<\t5027798874301466953\n",
-      "   4 True\t5027798874301466953\t<\t7599916090325432858\n",
-      "   1 True\t7599916090325432858\t=\t7599916090325432858\n",
-      "   2 True\t7599916090325432858\t<\t7670003058891534809\n",
-      "   3 True\t7670003058891534809\t<\t8951359510407080191\n",
-      "   2 False\t8951359510407080191\t>\t8256187151701400693\n",
-      "   3 False\t8256187151701400693\t>\t2632554300856036404\n",
-      "   2 True\t2632554300856036404\t<\t2637868174063836421\n",
-      "   3 True\t2637868174063836421\t<\t4505144659953921145\n",
-      "   1 True\t4505144659953921145\t=\t4505144659953921145\n",
-      "   1 True\t4505144659953921145\t=\t4505144659953921145\n",
-      "   2 True\t4505144659953921145\t<\t4711885709761713524\n",
-      "   2 False\t4711885709761713524\t>\t3881308624641194349\n",
-      "   3 False\t3881308624641194349\t>\t2258824299465056401\n",
-      "   4 False\t2258824299465056401\t>\t910109690155142596\n",
-      "   5 False\t910109690155142596\t>\t641919388489780414\n",
-      "   2 True\t641919388489780414\t<\t2004443131640914881\n",
-      "   3 True\t2004443131640914881\t<\t8508629265326182337\n",
-      "   4 True\t8508629265326182337\t<\t8699785243764085854\n",
-      "   2 False\t8699785243764085854\t>\t5899544403066822355\n",
-      "   3 False\t5899544403066822355\t>\t4986295098292056086\n",
-      "   4 False\t4986295098292056086\t>\t2003384072918075115\n",
-      "   5 False\t2003384072918075115\t>\t59792234465155871\n",
-      "   6 False\t59792234465155871\t>\t51463330863703257\n",
-      "   7 False\t51463330863703257\t>\t31409658898303542\n",
-      "   8 False\t31409658898303542\t>\t17833621065163381\n",
-      "   9 False\t17833621065163381\t>\t16867611947775685\n",
-      "   1 False\t16867611947775685\t=\t16867611947775685\n",
-      "   2 False\t16867611947775685\t>\t7549607731490842\n",
-      "   3 False\t7549607731490842\t>\t5451925771833199\n",
-      "   2 True\t5451925771833199\t<\t7976393344604639279\n",
-      "   2 False\t7976393344604639279\t>\t510469373873366821\n",
-      "   3 False\t510469373873366821\t>\t325873184229986727\n",
-      "   4 False\t325873184229986727\t>\t194900794153970161\n",
-      "   2 True\t194900794153970161\t<\t6925725659885714345\n",
-      "   2 False\t6925725659885714345\t>\t4476624049513518562\n",
-      "   3 False\t4476624049513518562\t>\t3157758911212865096\n",
-      "   2 True\t3157758911212865096\t<\t4307871793218898008\n",
-      "   3 True\t4307871793218898008\t<\t8091293262429269355\n",
-      "   4 True\t8091293262429269355\t<\t9212377733375675057\n",
-      "   5 True\t9212377733375675057\t<\t9220514906120336602\n",
-      "   2 False\t9220514906120336602\t>\t5808989153722596046\n",
-      "   3 False\t5808989153722596046\t>\t801170544291295404\n",
-      "   1 False\t801170544291295404\t=\t801170544291295404\n",
-      "   2 True\t801170544291295404\t<\t1804805764985675286\n",
-      "   3 True\t1804805764985675286\t<\t6195068202156983942\n",
-      "   4 True\t6195068202156983942\t<\t6904867429994948195\n",
-      "   5 True\t6904867429994948195\t<\t6945330428923716155\n",
-      "   2 False\t6945330428923716155\t>\t626443822694845121\n",
-      "   2 True\t626443822694845121\t<\t2756722456281577907\n",
-      "   3 True\t2756722456281577907\t<\t3786547787478770802\n",
-      "   4 True\t3786547787478770802\t<\t5683183634889200226\n",
-      "   5 True\t5683183634889200226\t<\t7201140192953196458\n",
-      "   2 False\t7201140192953196458\t>\t152293292904957730\n",
-      "   3 False\t152293292904957730\t>\t145161605340387790\n",
-      "   2 True\t145161605340387790\t<\t1590767327877508038\n",
-      "   3 True\t1590767327877508038\t<\t2177426321793966848\n",
-      "   2 False\t2177426321793966848\t>\t1381932958495007123\n",
-      "   2 True\t1381932958495007123\t<\t4615509080995928325\n",
-      "   3 True\t4615509080995928325\t<\t5887557773524463227\n",
-      "   4 True\t5887557773524463227\t<\t8932886748981735511\n",
-      "   5 True\t8932886748981735511\t<\t9032104369534182482\n",
-      "   6 True\t9032104369534182482\t<\t9095905926202456069\n",
-      "   7 True\t9095905926202456069\t<\t9096032756000938755\n",
-      "   8 True\t9096032756000938755\t<\t9133384828224244812\n",
-      "   9 True\t9133384828224244812\t<\t9199227927815655605\n",
-      "  10 True\t9199227927815655605\t<\t9203175064854202653\n",
-      "  11 True\t9203175064854202653\t<\t9218865520223646742\n",
-      "  12 True\t9218865520223646742\t<\t9222988650685296300\n",
-      "   2 False\t9222988650685296300\t>\t1524423754055985625\n",
-      "   3 False\t1524423754055985625\t>\t653514614550377687\n",
-      "   4 False\t653514614550377687\t>\t535630613843349607\n",
-      "   5 False\t535630613843349607\t>\t240550159529950823\n",
-      "   2 True\t240550159529950823\t<\t3858459790767687454\n",
-      "   3 True\t3858459790767687454\t<\t5129661247401627303\n",
-      "   4 True\t5129661247401627303\t<\t6406341598628952635\n",
-      "   5 True\t6406341598628952635\t<\t7970344725933714278\n",
-      "   2 False\t7970344725933714278\t>\t6360499029765907965\n",
-      "   2 True\t6360499029765907965\t<\t7206766943542727856\n",
-      "   2 False\t7206766943542727856\t>\t5319546807043587832\n",
-      "   3 False\t5319546807043587832\t>\t3999548614461327019\n",
-      "   4 False\t3999548614461327019\t>\t732873678700349979\n",
-      "   5 False\t732873678700349979\t>\t571666079039976006\n",
-      "   6 False\t571666079039976006\t>\t103964378160734085\n",
-      "   7 False\t103964378160734085\t>\t58616595630172339\n",
-      "   8 False\t58616595630172339\t>\t47295619791651749\n",
-      "   2 True\t47295619791651749\t<\t7909539853684098992\n",
-      "   2 False\t7909539853684098992\t>\t1070073870344897294\n",
-      "   2 True\t1070073870344897294\t<\t7499223128943077342\n",
-      "   2 False\t7499223128943077342\t>\t3343816061847474476\n",
-      "   2 True\t3343816061847474476\t<\t4407363828466213199\n",
-      "   3 True\t4407363828466213199\t<\t5984015461486261670\n",
-      "   4 True\t5984015461486261670\t<\t8461006455755971222\n",
-      "   5 True\t8461006455755971222\t<\t9147779083184774620\n",
-      "   6 True\t9147779083184774620\t<\t9180473691908514760\n",
-      "   2 False\t9180473691908514760\t>\t7818944277317806521\n",
-      "   3 False\t7818944277317806521\t>\t5850483284649212026\n",
-      "   4 False\t5850483284649212026\t>\t4455468322476075080\n",
-      "   2 True\t4455468322476075080\t<\t8642178078504590703\n",
-      "   3 True\t8642178078504590703\t<\t9129499056276777456\n",
-      "   4 True\t9129499056276777456\t<\t9171445886631367390\n",
-      "   2 False\t9171445886631367390\t>\t8804973738152276402\n",
-      "   3 False\t8804973738152276402\t>\t2788783858101128722\n",
-      "   4 False\t2788783858101128722\t>\t1595920601797890449\n",
-      "   1 False\t1595920601797890449\t=\t1595920601797890449\n",
-      "   2 True\t1595920601797890449\t<\t3271793279824221131\n",
-      "   2 False\t3271793279824221131\t>\t1832787628172827028\n",
-      "   3 False\t1832787628172827028\t>\t1152803258735343628\n",
-      "   4 False\t1152803258735343628\t>\t775720448762073934\n",
-      "   5 False\t775720448762073934\t>\t604166958951660381\n",
-      "   6 False\t604166958951660381\t>\t529338352343922488\n",
-      "   7 False\t529338352343922488\t>\t354577160090458387\n",
-      "   8 False\t354577160090458387\t>\t98538703660442704\n",
-      "   2 True\t98538703660442704\t<\t2671724941865375032\n",
-      "   3 True\t2671724941865375032\t<\t8102019867057712492\n",
-      "   2 False\t8102019867057712492\t>\t4002590476395252072\n",
-      "   3 False\t4002590476395252072\t>\t2501216672378914419\n",
-      "   2 True\t2501216672378914419\t<\t8565436699522907901\n",
-      "   2 False\t8565436699522907901\t>\t3685589360516104484\n",
-      "   2 True\t3685589360516104484\t<\t4018635108855152558\n",
-      "   3 True\t4018635108855152558\t<\t5116534997849389725\n",
-      "   4 True\t5116534997849389725\t<\t6808159198270851754\n",
-      "   5 True\t6808159198270851754\t<\t8123508124740204670\n",
-      "   6 True\t8123508124740204670\t<\t9001097496077546635\n",
-      "   7 True\t9001097496077546635\t<\t9128765377074306610\n",
-      "   8 True\t9128765377074306610\t<\t9148790938241493617\n",
-      "   2 False\t9148790938241493617\t>\t8989504959018818137\n",
-      "   2 True\t8989504959018818137\t<\t9154031301151384388\n",
-      "   1 True\t9154031301151384388\t=\t9154031301151384388\n",
-      "   2 True\t9154031301151384388\t<\t9182963033937516927\n",
-      "   3 True\t9182963033937516927\t<\t9206610288883665683\n",
-      "   4 True\t9206610288883665683\t<\t9222279937862186914\n",
-      "   1 True\t9222279937862186914\t=\t9222279937862186914\n",
-      "   2 True\t9222279937862186914\t<\t9222513459966081481\n",
-      "   3 True\t9222513459966081481\t<\t9222677674024110786\n",
-      "   4 True\t9222677674024110786\t<\t9222912588109354985\n",
-      "   2 False\t9222912588109354985\t>\t5230367517843615184\n",
-      "   3 False\t5230367517843615184\t>\t1403193534410059282\n",
-      "   2 True\t1403193534410059282\t<\t3485208763815656861\n",
-      "   2 False\t3485208763815656861\t>\t754195609577221835\n",
-      "   3 False\t754195609577221835\t>\t610850070078012459\n",
-      "   4 False\t610850070078012459\t>\t103052545468344634\n",
-      "   2 True\t103052545468344634\t<\t9219482888184151572\n",
-      "   3 True\t9219482888184151572\t<\t9220285816109775533\n",
-      "   2 False\t9220285816109775533\t>\t2320286623641109604\n",
-      "   3 False\t2320286623641109604\t>\t131138780029325546\n",
-      "   4 False\t131138780029325546\t>\t24455551827806286\n",
-      "   5 False\t24455551827806286\t>\t1625423589594086\n",
-      "   6 False\t1625423589594086\t>\t363966778080020\n",
-      "   7 False\t363966778080020\t>\t101776517925636\n",
-      "   8 False\t101776517925636\t>\t81939870119626\n",
-      "   9 False\t81939870119626\t>\t78296905708671\n",
-      "  10 False\t78296905708671\t>\t49716987272616\n",
-      "  11 False\t49716987272616\t>\t33656569123451\n",
-      "  12 False\t33656569123451\t>\t4213284048135\n",
-      "  13 False\t4213284048135\t>\t3518622100041\n",
-      "   2 True\t3518622100041\t<\t7599223938407902245\n",
-      "   2 False\t7599223938407902245\t>\t3993459707140340712\n",
-      "   3 False\t3993459707140340712\t>\t1238518611317313607\n",
-      "   4 False\t1238518611317313607\t>\t228817557402783829\n",
-      "   5 False\t228817557402783829\t>\t197574547445809955\n",
-      "   2 True\t197574547445809955\t<\t8879239138283787195\n",
-      "   3 True\t8879239138283787195\t<\t8953999720765272234\n",
-      "   1 True\t8953999720765272234\t=\t8953999720765272234\n",
-      "   2 False\t8953999720765272234\t>\t8114504895196381605\n",
-      "   1 False\t8114504895196381605\t=\t8114504895196381605\n",
-      "   2 True\t8114504895196381605\t<\t8949434194033241843\n",
-      "   3 True\t8949434194033241843\t<\t8985633605104804292\n",
-      "   2 False\t8985633605104804292\t>\t5959283890878438083\n",
-      "   2 True\t5959283890878438083\t<\t8082836147541939892\n",
-      "   3 True\t8082836147541939892\t<\t8107190694505579666\n",
-      "   4 True\t8107190694505579666\t<\t8934385499636861954\n",
-      "   5 True\t8934385499636861954\t<\t9143406697545771877\n",
-      "   6 True\t9143406697545771877\t<\t9217406308738253780\n",
-      "   7 True\t9217406308738253780\t<\t9218191210029582001\n",
-      "   8 True\t9218191210029582001\t<\t9219863028254389954\n",
-      "   9 True\t9219863028254389954\t<\t9222798592868793759\n",
-      "   1 True\t9222798592868793759\t=\t9222798592868793759\n",
-      "   2 True\t9222798592868793759\t<\t9223094516759510640\n",
-      "   2 False\t9223094516759510640\t>\t3734132370023901413\n",
-      "   2 True\t3734132370023901413\t<\t5806401832731879869\n",
-      "   3 True\t5806401832731879869\t<\t8019974534128913777\n",
-      "   4 True\t8019974534128913777\t<\t8088086505440271549\n",
-      "   5 True\t8088086505440271549\t<\t8609200237505485812\n",
-      "   1 True\t8609200237505485812\t=\t8609200237505485812\n",
-      "   2 False\t8609200237505485812\t>\t7979766767775366868\n",
-      "   2 True\t7979766767775366868\t<\t8095025562026089580\n",
-      "   2 False\t8095025562026089580\t>\t4721002868371442007\n",
-      "   2 True\t4721002868371442007\t<\t5931654536843239619\n",
-      "   3 True\t5931654536843239619\t<\t6607789332958916872\n",
-      "   4 True\t6607789332958916872\t<\t7762485063535195869\n",
-      "   5 True\t7762485063535195869\t<\t8841836115279370357\n",
-      "   1 True\t8841836115279370357\t=\t8841836115279370357\n",
-      "   2 False\t8841836115279370357\t>\t5633237206109839563\n",
-      "   3 False\t5633237206109839563\t>\t1142500358121657390\n",
-      "   4 False\t1142500358121657390\t>\t1058603228611823295\n",
-      "   5 False\t1058603228611823295\t>\t1032624744044034322\n",
-      "   2 True\t1032624744044034322\t<\t1339244212918271388\n",
-      "   3 True\t1339244212918271388\t<\t7858135591050831916\n",
-      "   4 True\t7858135591050831916\t<\t8721943157460762412\n",
-      "   2 False\t8721943157460762412\t>\t2021723395097930739\n",
-      "   2 True\t2021723395097930739\t<\t4344683618892839838\n",
-      "   3 True\t4344683618892839838\t<\t8458609346596159179\n",
-      "   4 True\t8458609346596159179\t<\t8530806970550916456\n",
-      "   5 True\t8530806970550916456\t<\t8781173264824903925\n",
-      "   6 True\t8781173264824903925\t<\t8960701221918385748\n",
-      "   7 True\t8960701221918385748\t<\t9120175746069241107\n",
-      "   2 False\t9120175746069241107\t>\t4594594140503486444\n",
-      "   2 True\t4594594140503486444\t<\t7331891922088627451\n",
-      "   1 True\t7331891922088627451\t=\t7331891922088627451\n",
-      "   2 True\t7331891922088627451\t<\t8813398602642736781\n",
-      "   3 True\t8813398602642736781\t<\t8863256179557107722\n",
-      "   4 True\t8863256179557107722\t<\t9219459835082836522\n",
-      "   5 True\t9219459835082836522\t<\t9222934901837854713\n",
-      "   6 True\t9222934901837854713\t<\t9223191065221166744\n",
-      "   2 False\t9223191065221166744\t>\t3660714143433392078\n",
-      "   2 True\t3660714143433392078\t<\t4424827961386774978\n",
-      "   2 False\t4424827961386774978\t>\t3045342265468212494\n",
-      "   2 True\t3045342265468212494\t<\t8996664008926764709\n",
-      "   3 True\t8996664008926764709\t<\t9152550925582663965\n",
-      "   4 True\t9152550925582663965\t<\t9156177208295062255\n",
-      "   5 True\t9156177208295062255\t<\t9173356091048640561\n",
-      "   2 False\t9173356091048640561\t>\t8509549487389102353\n",
-      "   3 False\t8509549487389102353\t>\t1634801650446634946\n",
-      "   4 False\t1634801650446634946\t>\t1167798071025930113\n",
-      "   2 True\t1167798071025930113\t<\t3822738699995463421\n",
-      "   3 True\t3822738699995463421\t<\t8818754758212606846\n",
-      "   2 False\t8818754758212606846\t>\t7898323866409664820\n",
-      "   2 True\t7898323866409664820\t<\t8325478012508697085\n",
-      "   3 True\t8325478012508697085\t<\t9038046790587049345\n",
-      "   4 True\t9038046790587049345\t<\t9131337369366647585\n",
-      "   2 False\t9131337369366647585\t>\t4555797145063003381\n",
-      "   2 True\t4555797145063003381\t<\t5993947134226091540\n",
-      "   3 True\t5993947134226091540\t<\t8488732273549545373\n",
-      "   2 False\t8488732273549545373\t>\t5326825764702914055\n",
-      "   2 True\t5326825764702914055\t<\t7178144316334117053\n",
-      "   2 False\t7178144316334117053\t>\t3913423662673651081\n",
-      "   2 True\t3913423662673651081\t<\t5135590029630875382\n",
-      "   2 False\t5135590029630875382\t>\t1994966039768149921\n",
-      "   2 True\t1994966039768149921\t<\t8756766654789631535\n",
-      "   3 True\t8756766654789631535\t<\t8978795452362500821\n",
-      "   4 True\t8978795452362500821\t<\t9068968672555928873\n",
-      "   2 False\t9068968672555928873\t>\t8978911741587001334\n",
-      "   3 False\t8978911741587001334\t>\t1406346758775692040\n",
-      "   4 False\t1406346758775692040\t>\t49397811761586862\n",
-      "   5 False\t49397811761586862\t>\t48879814400149231\n",
-      "   6 False\t48879814400149231\t>\t9541007518955593\n",
-      "   7 False\t9541007518955593\t>\t1464559497414904\n",
-      "   8 False\t1464559497414904\t>\t679339621548392\n",
-      "   9 False\t679339621548392\t>\t402738451211066\n",
-      "  10 False\t402738451211066\t>\t156205337358887\n",
-      "  11 False\t156205337358887\t>\t155797634128553\n",
-      "   2 True\t155797634128553\t<\t4892495800671203765\n",
-      "   3 True\t4892495800671203765\t<\t7872433635612208572\n",
-      "   4 True\t7872433635612208572\t<\t9023088236390094975\n",
-      "   5 True\t9023088236390094975\t<\t9114847425527034966\n",
-      "   6 True\t9114847425527034966\t<\t9197359226673030588\n",
-      "   7 True\t9197359226673030588\t<\t9222553600645109263\n",
-      "   2 False\t9222553600645109263\t>\t1657806754198857040\n",
-      "   3 False\t1657806754198857040\t>\t741849805724516737\n",
-      "   4 False\t741849805724516737\t>\t700941644715353077\n",
-      "   1 False\t700941644715353077\t=\t700941644715353077\n",
-      "   2 False\t700941644715353077\t>\t436926519743987121\n",
-      "   2 True\t436926519743987121\t<\t1471856207417136598\n",
-      "   3 True\t1471856207417136598\t<\t3860983276293343783\n",
-      "   4 True\t3860983276293343783\t<\t5816249520604192384\n",
-      "   5 True\t5816249520604192384\t<\t7031843604708764604\n",
-      "   6 True\t7031843604708764604\t<\t9053270904531730619\n",
-      "   7 True\t9053270904531730619\t<\t9118451659975786269\n",
-      "   8 True\t9118451659975786269\t<\t9220498445484683253\n",
-      "   9 True\t9220498445484683253\t<\t9222797711224948937\n",
-      "   2 False\t9222797711224948937\t>\t272620109330967819\n",
-      "   3 False\t272620109330967819\t>\t101007264048062268\n",
-      "   4 False\t101007264048062268\t>\t39145711041290729\n",
-      "   2 True\t39145711041290729\t<\t734827398373345170\n",
-      "   3 True\t734827398373345170\t<\t1120753869388507582\n",
-      "   4 True\t1120753869388507582\t<\t6388235907498456860\n",
-      "   5 True\t6388235907498456860\t<\t7788388504701865483\n",
-      "   6 True\t7788388504701865483\t<\t9116394050595280110\n",
-      "   1 True\t9116394050595280110\t=\t9116394050595280110\n",
-      "   2 True\t9116394050595280110\t<\t9173784775109602126\n",
-      "   3 True\t9173784775109602126\t<\t9202399676539285499\n",
-      "   4 True\t9202399676539285499\t<\t9216938558871102679\n",
-      "   5 True\t9216938558871102679\t<\t9219298142948338550\n",
-      "   6 True\t9219298142948338550\t<\t9222701775469131241\n",
-      "   7 True\t9222701775469131241\t<\t9223095656433563905\n",
-      "   8 True\t9223095656433563905\t<\t9223299615914205812\n",
-      "   9 True\t9223299615914205812\t<\t9223346724322778327\n",
-      "  10 True\t9223346724322778327\t<\t9223366792595036401\n",
-      "  11 True\t9223366792595036401\t<\t9223371670947325908\n",
-      "   2 False\t9223371670947325908\t>\t7211898533764081860\n",
-      "   3 False\t7211898533764081860\t>\t4865540062770880624\n",
-      "   4 False\t4865540062770880624\t>\t2432399390427926438\n",
-      "   5 False\t2432399390427926438\t>\t942749034790099218\n",
-      "   6 False\t942749034790099218\t>\t250333918236158803\n",
-      "   2 True\t250333918236158803\t<\t6573584147183554525\n",
-      "   2 False\t6573584147183554525\t>\t3797958286908165560\n",
-      "   3 False\t3797958286908165560\t>\t2745015226625574086\n",
-      "   4 False\t2745015226625574086\t>\t2632433024175862748\n",
-      "   5 False\t2632433024175862748\t>\t706166892270928665\n",
-      "   6 False\t706166892270928665\t>\t669103829901575481\n",
-      "   2 True\t669103829901575481\t<\t1151846579851266958\n",
-      "   2 False\t1151846579851266958\t>\t883723193921741554\n",
-      "   3 False\t883723193921741554\t>\t699012256887494625\n",
-      "   4 False\t699012256887494625\t>\t589953744143372317\n",
-      "   2 True\t589953744143372317\t<\t7419024404647061755\n",
-      "   3 True\t7419024404647061755\t<\t7943983677487318230\n",
-      "   4 True\t7943983677487318230\t<\t8848993764481533745\n",
-      "   5 True\t8848993764481533745\t<\t9159634802173087471\n",
-      "   6 True\t9159634802173087471\t<\t9204821890244801159\n",
-      "   2 False\t9204821890244801159\t>\t5968571244996414796\n",
-      "   3 False\t5968571244996414796\t>\t4001827686925347620\n",
-      "   4 False\t4001827686925347620\t>\t2821522227091172454\n",
-      "   5 False\t2821522227091172454\t>\t1455862020094835836\n",
-      "   6 False\t1455862020094835836\t>\t716546466646633771\n",
-      "   1 False\t716546466646633771\t=\t716546466646633771\n",
-      "   2 False\t716546466646633771\t>\t107320293891644135\n",
-      "   3 False\t107320293891644135\t>\t96566397400456772\n",
-      "   4 False\t96566397400456772\t>\t94930376324364509\n",
-      "   5 False\t94930376324364509\t>\t91531006101412828\n",
-      "   1 False\t91531006101412828\t=\t91531006101412828\n",
-      "   2 True\t91531006101412828\t<\t2685635968493527669\n",
-      "   2 False\t2685635968493527669\t>\t2412487651754905484\n",
-      "   2 True\t2412487651754905484\t<\t6604318182542374149\n",
-      "   3 True\t6604318182542374149\t<\t7018497594691209006\n",
-      "   4 True\t7018497594691209006\t<\t8837562624985742918\n",
-      "   5 True\t8837562624985742918\t<\t9172014547709343228\n",
-      "   6 True\t9172014547709343228\t<\t9187029748267151623\n",
-      "   7 True\t9187029748267151623\t<\t9188716776906938363\n",
-      "   8 True\t9188716776906938363\t<\t9208755568869494638\n",
-      "   9 True\t9208755568869494638\t<\t9222150758410979881\n",
-      "  10 True\t9222150758410979881\t<\t9223099056622162025\n",
-      "  11 True\t9223099056622162025\t<\t9223348348221614359\n",
-      "  12 True\t9223348348221614359\t<\t9223350857207173001\n",
-      "  13 True\t9223350857207173001\t<\t9223367409782923589\n",
-      "  14 True\t9223367409782923589\t<\t9223367980611176606\n",
-      "  15 True\t9223367980611176606\t<\t9223368593708329368\n",
-      "  16 True\t9223368593708329368\t<\t9223369779074108056\n",
-      "  17 True\t9223369779074108056\t<\t9223371136129262417\n",
-      "  18 True\t9223371136129262417\t<\t9223371628227852801\n",
-      "  19 True\t9223371628227852801\t<\t9223371990264122961\n",
-      "  20 True\t9223371990264122961\t<\t9223372004962076488\n",
-      "  21 True\t9223372004962076488\t<\t9223372013380883577\n",
-      "  22 True\t9223372013380883577\t<\t9223372034277896078\n",
-      "   2 False\t9223372034277896078\t>\t6942613178016177585\n",
-      "   3 False\t6942613178016177585\t>\t31466363067153469\n",
-      "   4 False\t31466363067153469\t>\t13403847705881843\n",
-      "   5 False\t13403847705881843\t>\t2918319132410668\n",
-      "   6 False\t2918319132410668\t>\t1817222540465354\n",
-      "   7 False\t1817222540465354\t>\t1377110662032889\n",
-      "   8 False\t1377110662032889\t>\t388303470749833\n",
-      "   1 False\t388303470749833\t=\t388303470749833\n",
-      "   2 False\t388303470749833\t>\t159083027667721\n",
-      "   2 True\t159083027667721\t<\t2864321381151308759\n",
-      "   3 True\t2864321381151308759\t<\t4539844049648875279\n",
-      "   2 False\t4539844049648875279\t>\t2711049815067989166\n",
-      "   1 False\t2711049815067989166\t=\t2711049815067989166\n",
-      "   2 True\t2711049815067989166\t<\t9111148158436573373\n",
-      "   3 True\t9111148158436573373\t<\t9163830678317228234\n",
-      "   4 True\t9163830678317228234\t<\t9208722284769618479\n",
-      "   2 False\t9208722284769618479\t>\t6865068231531998200\n",
-      "   2 True\t6865068231531998200\t<\t8083622503162514310\n",
-      "   3 True\t8083622503162514310\t<\t9205132535478619205\n",
-      "   4 True\t9205132535478619205\t<\t9206205215417356079\n",
-      "   2 False\t9206205215417356079\t>\t2138867521577442250\n",
-      "   3 False\t2138867521577442250\t>\t1879146083700976622\n",
-      "   2 True\t1879146083700976622\t<\t3895427328693924575\n",
-      "   3 True\t3895427328693924575\t<\t7057286532018425358\n",
-      "   4 True\t7057286532018425358\t<\t8601249734065726741\n",
-      "   5 True\t8601249734065726741\t<\t9141382033009689355\n",
-      "   6 True\t9141382033009689355\t<\t9164985919745611607\n",
-      "   2 False\t9164985919745611607\t>\t6295852374600947812\n",
-      "   2 True\t6295852374600947812\t<\t7952054096652691487\n",
-      "   3 True\t7952054096652691487\t<\t8116006310199063173\n",
-      "   2 False\t8116006310199063173\t>\t678352294451690727\n",
-      "   2 True\t678352294451690727\t<\t3417826775734859827\n",
-      "   3 True\t3417826775734859827\t<\t9125989382082672091\n",
-      "   2 False\t9125989382082672091\t>\t1422567992006283800\n",
-      "   3 False\t1422567992006283800\t>\t266461774504713404\n",
-      "   4 False\t266461774504713404\t>\t40317935487388798\n",
-      "   2 True\t40317935487388798\t<\t2573864278398943389\n",
-      "   3 True\t2573864278398943389\t<\t8500903506079414266\n",
-      "   4 True\t8500903506079414266\t<\t9186143373006281563\n",
-      "   5 True\t9186143373006281563\t<\t9199742724270269571\n",
-      "   2 False\t9199742724270269571\t>\t3422316165179678211\n",
-      "   3 False\t3422316165179678211\t>\t3333133945640895277\n",
-      "   4 False\t3333133945640895277\t>\t1162241451259516959\n",
-      "   2 True\t1162241451259516959\t<\t4404743115264945264\n",
-      "   3 True\t4404743115264945264\t<\t5841141056225844367\n",
-      "   2 False\t5841141056225844367\t>\t2177960841331719168\n",
-      "   2 True\t2177960841331719168\t<\t6090678899688068226\n",
-      "   3 True\t6090678899688068226\t<\t8180066508160111619\n",
-      "   2 False\t8180066508160111619\t>\t7320140150375685640\n",
-      "   3 False\t7320140150375685640\t>\t2860387365556369149\n",
-      "   4 False\t2860387365556369149\t>\t727281674939719385\n",
-      "   5 False\t727281674939719385\t>\t403031513577520009\n",
-      "   6 False\t403031513577520009\t>\t210664291529017473\n",
-      "   2 True\t210664291529017473\t<\t4314152521235262859\n",
-      "   3 True\t4314152521235262859\t<\t5711556174386135967\n",
-      "   4 True\t5711556174386135967\t<\t6040595031112131944\n",
-      "   5 True\t6040595031112131944\t<\t7909056753496766333\n",
-      "   2 False\t7909056753496766333\t>\t2192245981749354543\n",
-      "   3 False\t2192245981749354543\t>\t1469865644715724970\n",
-      "   4 False\t1469865644715724970\t>\t1404174183054248489\n",
-      "   2 True\t1404174183054248489\t<\t1911520115665164836\n",
-      "   2 False\t1911520115665164836\t>\t2987627717967017\n",
-      "   3 False\t2987627717967017\t>\t2260554773289468\n",
-      "   4 False\t2260554773289468\t>\t831790930235851\n",
-      "   2 True\t831790930235851\t<\t9157940654110193807\n",
-      "   3 True\t9157940654110193807\t<\t9195812695888762056\n",
-      "   4 True\t9195812695888762056\t<\t9205231585158913819\n",
-      "   2 False\t9205231585158913819\t>\t5932452833609356105\n",
-      "   3 False\t5932452833609356105\t>\t1593623312959952950\n",
-      "   4 False\t1593623312959952950\t>\t1399148842435312455\n",
-      "   2 True\t1399148842435312455\t<\t2340905277934892856\n",
-      "   2 False\t2340905277934892856\t>\t379115641287445888\n",
-      "   3 False\t379115641287445888\t>\t178185140927053285\n",
-      "   4 False\t178185140927053285\t>\t82088026141873995\n",
-      "   5 False\t82088026141873995\t>\t40818873044573785\n",
-      "   6 False\t40818873044573785\t>\t25508290976294208\n",
-      "   7 False\t25508290976294208\t>\t22363567372450793\n",
-      "   2 True\t22363567372450793\t<\t7721837985810137361\n",
-      "   3 True\t7721837985810137361\t<\t8698846001156306700\n",
-      "   4 True\t8698846001156306700\t<\t9134858939140868815\n",
-      "   5 True\t9134858939140868815\t<\t9168129214336784465\n",
-      "   6 True\t9168129214336784465\t<\t9220083595245699127\n",
-      "   2 False\t9220083595245699127\t>\t5219877772711062972\n",
-      "   3 False\t5219877772711062972\t>\t4908921752802858225\n",
-      "   4 False\t4908921752802858225\t>\t1887569315937188556\n",
-      "   5 False\t1887569315937188556\t>\t1415856316798115491\n",
-      "   6 False\t1415856316798115491\t>\t354522968971561295\n",
-      "   2 True\t354522968971561295\t<\t5206977347340508620\n",
-      "   2 False\t5206977347340508620\t>\t170795389719572267\n",
-      "   2 True\t170795389719572267\t<\t4433331138104076265\n",
-      "   3 True\t4433331138104076265\t<\t6483255849523348904\n",
-      "   4 True\t6483255849523348904\t<\t7157857834508516555\n",
-      "   5 True\t7157857834508516555\t<\t7729645183012130931\n",
-      "   6 True\t7729645183012130931\t<\t7896225364445967049\n",
-      "   2 False\t7896225364445967049\t>\t1569493691826509551\n",
-      "   3 False\t1569493691826509551\t>\t811906915784731910\n",
-      "   1 False\t811906915784731910\t=\t811906915784731910\n",
-      "   2 True\t811906915784731910\t<\t8952252411326782753\n",
-      "   2 False\t8952252411326782753\t>\t6036525688292046864\n",
-      "   3 False\t6036525688292046864\t>\t3430992515162350615\n",
-      "   4 False\t3430992515162350615\t>\t2065546593592583643\n",
-      "   5 False\t2065546593592583643\t>\t288948940647818696\n",
-      "   6 False\t288948940647818696\t>\t127548683320644981\n",
-      "   7 False\t127548683320644981\t>\t64190848267612675\n",
-      "   1 False\t64190848267612675\t=\t64190848267612675\n",
-      "   2 False\t64190848267612675\t>\t21114645750073465\n",
-      "   3 False\t21114645750073465\t>\t517078724389920\n",
-      "   1 False\t517078724389920\t=\t517078724389920\n",
-      "   2 True\t517078724389920\t<\t4133418926044609721\n",
-      "   2 False\t4133418926044609721\t>\t2219990749752208827\n",
-      "   3 False\t2219990749752208827\t>\t1687641665620146611\n",
-      "   4 False\t1687641665620146611\t>\t1126567491644746564\n",
-      "   2 True\t1126567491644746564\t<\t9132058200270948534\n",
-      "   3 True\t9132058200270948534\t<\t9207052487103378611\n",
-      "   4 True\t9207052487103378611\t<\t9208156899152692466\n",
-      "   1 True\t9208156899152692466\t=\t9208156899152692466\n",
-      "   2 False\t9208156899152692466\t>\t3495742112154079518\n",
-      "   2 True\t3495742112154079518\t<\t4324258743441888399\n",
-      "   3 True\t4324258743441888399\t<\t7514845912016741359\n",
-      "   4 True\t7514845912016741359\t<\t9110237603559007196\n",
-      "   5 True\t9110237603559007196\t<\t9112962732712222906\n",
-      "   6 True\t9112962732712222906\t<\t9182525088513396439\n",
-      "   1 True\t9182525088513396439\t=\t9182525088513396439\n",
-      "   2 True\t9182525088513396439\t<\t9193317200125565208\n",
-      "   2 False\t9193317200125565208\t>\t8685422978636130027\n",
-      "   2 True\t8685422978636130027\t<\t9039123443868096094\n",
-      "   3 True\t9039123443868096094\t<\t9105712991197734684\n",
-      "   4 True\t9105712991197734684\t<\t9210111405210226132\n",
-      "   5 True\t9210111405210226132\t<\t9217124464198152261\n",
-      "   2 False\t9217124464198152261\t>\t8288208141556158590\n",
-      "   2 True\t8288208141556158590\t<\t8582008199259958813\n",
-      "   3 True\t8582008199259958813\t<\t8646859236535159044\n",
-      "   4 True\t8646859236535159044\t<\t9136960608827907181\n",
-      "   5 True\t9136960608827907181\t<\t9182620893334512866\n",
-      "   6 True\t9182620893334512866\t<\t9201589461582247059\n",
-      "   7 True\t9201589461582247059\t<\t9222267927138994094\n",
-      "   8 True\t9222267927138994094\t<\t9223110194506989640\n",
-      "   2 False\t9223110194506989640\t>\t67652699846603077\n",
-      "   2 True\t67652699846603077\t<\t7844209876344905296\n",
-      "   3 True\t7844209876344905296\t<\t8913372918089547395\n",
-      "   4 True\t8913372918089547395\t<\t9026131721726100069\n",
-      "   5 True\t9026131721726100069\t<\t9090340128089797147\n",
-      "   6 True\t9090340128089797147\t<\t9129325076927180763\n",
-      "   7 True\t9129325076927180763\t<\t9214892055021204737\n",
-      "   8 True\t9214892055021204737\t<\t9215595935394996930\n",
-      "   9 True\t9215595935394996930\t<\t9216575641402917301\n",
-      "  10 True\t9216575641402917301\t<\t9221058935835011452\n",
-      "  11 True\t9221058935835011452\t<\t9221363513430025052\n",
-      "  12 True\t9221363513430025052\t<\t9222633701405186329\n",
-      "   2 False\t9222633701405186329\t>\t5907485826190469989\n",
-      "   2 True\t5907485826190469989\t<\t6082641750296556680\n",
-      "   2 False\t6082641750296556680\t>\t2472137434951496050\n",
-      "   3 False\t2472137434951496050\t>\t1732631751270709238\n",
-      "   4 False\t1732631751270709238\t>\t808557768356881145\n",
-      "   5 False\t808557768356881145\t>\t105203177821545000\n",
-      "   2 True\t105203177821545000\t<\t8445017185066471608\n",
-      "   3 True\t8445017185066471608\t<\t9177641740269002335\n",
-      "   4 True\t9177641740269002335\t<\t9219853696832090061\n",
-      "   5 True\t9219853696832090061\t<\t9221648075133526971\n",
-      "   1 True\t9221648075133526971\t=\t9221648075133526971\n",
-      "   2 False\t9221648075133526971\t>\t8702246190223081779\n",
-      "   3 False\t8702246190223081779\t>\t3769809444900531287\n",
-      "   4 False\t3769809444900531287\t>\t1711276938601319995\n",
-      "   5 False\t1711276938601319995\t>\t250137003998540759\n",
-      "   2 True\t250137003998540759\t<\t9075533068567024911\n",
-      "   3 True\t9075533068567024911\t<\t9169826002758603161\n",
-      "   2 False\t9169826002758603161\t>\t7850033263516357869\n",
-      "   2 True\t7850033263516357869\t<\t8276601069557854960\n",
-      "   2 False\t8276601069557854960\t>\t388144255621974979\n",
-      "   3 False\t388144255621974979\t>\t10943875930004843\n",
-      "   4 False\t10943875930004843\t>\t9982411997576050\n",
-      "   5 False\t9982411997576050\t>\t4515179652919828\n",
-      "   6 False\t4515179652919828\t>\t382323035911816\n",
-      "   7 False\t382323035911816\t>\t124110246582290\n",
-      "   8 False\t124110246582290\t>\t73874101990949\n",
-      "   1 False\t73874101990949\t=\t73874101990949\n",
-      "   2 False\t73874101990949\t>\t25318377395934\n",
-      "   3 False\t25318377395934\t>\t9699579114544\n",
-      "   4 False\t9699579114544\t>\t8090103680333\n",
-      "   5 False\t8090103680333\t>\t3166608126369\n",
-      "   2 True\t3166608126369\t<\t271487713892174315\n",
-      "   3 True\t271487713892174315\t<\t6557312477485739849\n",
-      "   4 True\t6557312477485739849\t<\t6630236475120475172\n",
-      "   5 True\t6630236475120475172\t<\t8657453636128085444\n",
-      "   6 True\t8657453636128085444\t<\t8812754528341923376\n",
-      "   2 False\t8812754528341923376\t>\t2509224455782260829\n",
-      "   2 True\t2509224455782260829\t<\t9017893550717831566\n",
-      "   3 True\t9017893550717831566\t<\t9166929424932536124\n",
-      "   4 True\t9166929424932536124\t<\t9171454626360942593\n",
-      "   2 False\t9171454626360942593\t>\t6620496113739258069\n",
-      "   3 False\t6620496113739258069\t>\t4957678338250119879\n",
-      "   2 True\t4957678338250119879\t<\t6237772987205579107\n",
-      "   2 False\t6237772987205579107\t>\t1785649296374519065\n",
-      "   3 False\t1785649296374519065\t>\t539024184908925361\n",
-      "   2 True\t539024184908925361\t<\t3697680201437800823\n",
-      "   3 True\t3697680201437800823\t<\t6729834980749988727\n",
-      "   4 True\t6729834980749988727\t<\t6873077576463761638\n",
-      "   5 True\t6873077576463761638\t<\t8361403805249174511\n",
-      "   6 True\t8361403805249174511\t<\t8507883390547432394\n",
-      "   7 True\t8507883390547432394\t<\t8726384012815174882\n",
-      "   8 True\t8726384012815174882\t<\t9127650833862923813\n",
-      "   2 False\t9127650833862923813\t>\t7522300572088083760\n",
-      "   1 False\t7522300572088083760\t=\t7522300572088083760\n",
-      "   2 False\t7522300572088083760\t>\t3579967125683506469\n",
-      "   3 False\t3579967125683506469\t>\t1201857165990433048\n",
-      "   2 True\t1201857165990433048\t<\t1557104117690071038\n",
-      "   3 True\t1557104117690071038\t<\t1731330227135860297\n",
-      "   2 False\t1731330227135860297\t>\t1671229202199016497\n",
-      "   2 True\t1671229202199016497\t<\t2405064901315831832\n",
-      "   3 True\t2405064901315831832\t<\t8427564090384773893\n",
-      "   2 False\t8427564090384773893\t>\t3184413478971514875\n",
-      "   3 False\t3184413478971514875\t>\t1066310469413474798\n",
-      "   2 True\t1066310469413474798\t<\t1624819003488825468\n",
-      "   3 True\t1624819003488825468\t<\t3465636652542705815\n",
-      "   4 True\t3465636652542705815\t<\t8273957184773405392\n",
-      "   2 False\t8273957184773405392\t>\t4002170163462339109\n",
-      "   3 False\t4002170163462339109\t>\t1198608638549660979\n",
-      "   2 True\t1198608638549660979\t<\t7651556242323202895\n",
-      "   2 False\t7651556242323202895\t>\t3735264395337750722\n",
-      "   3 False\t3735264395337750722\t>\t2786719010066921420\n",
-      "   2 True\t2786719010066921420\t<\t5218975406545674027\n",
-      "   3 True\t5218975406545674027\t<\t7820447484303585906\n",
-      "   2 False\t7820447484303585906\t>\t7400040421911098193\n",
-      "   3 False\t7400040421911098193\t>\t6001305127747260241\n",
-      "   4 False\t6001305127747260241\t>\t622667785254871016\n",
-      "   5 False\t622667785254871016\t>\t17821688670698916\n",
-      "   6 False\t17821688670698916\t>\t14882802472132582\n",
-      "   7 False\t14882802472132582\t>\t14182843517511004\n",
-      "   2 True\t14182843517511004\t<\t604636708074865636\n",
-      "   2 False\t604636708074865636\t>\t277973830080094603\n",
-      "   3 False\t277973830080094603\t>\t59363412825585976\n",
-      "   4 False\t59363412825585976\t>\t45985582974036351\n",
-      "   5 False\t45985582974036351\t>\t21015947616338728\n",
-      "   6 False\t21015947616338728\t>\t6106763713347734\n",
-      "   7 False\t6106763713347734\t>\t1346946274746880\n",
-      "   8 False\t1346946274746880\t>\t935582642318330\n",
-      "   2 True\t935582642318330\t<\t7131003244495254475\n",
-      "   3 True\t7131003244495254475\t<\t8791382004309570934\n",
-      "   4 True\t8791382004309570934\t<\t9012743130840052370\n",
-      "   5 True\t9012743130840052370\t<\t9024730907072605260\n",
-      "   6 True\t9024730907072605260\t<\t9222107286253046908\n",
-      "   2 False\t9222107286253046908\t>\t4079813363896248428\n",
-      "   3 False\t4079813363896248428\t>\t2658818801071107973\n",
-      "   1 False\t2658818801071107973\t=\t2658818801071107973\n",
-      "   1 False\t2658818801071107973\t=\t2658818801071107973\n",
-      "   2 False\t2658818801071107973\t>\t1805189096800685129\n",
-      "   3 False\t1805189096800685129\t>\t1486031646539462684\n",
-      "   4 False\t1486031646539462684\t>\t1124400442057989653\n",
-      "   5 False\t1124400442057989653\t>\t142290487571661353\n",
-      "   6 False\t142290487571661353\t>\t19630392077964501\n",
-      "   7 False\t19630392077964501\t>\t17370946806841649\n",
-      "   1 False\t17370946806841649\t=\t17370946806841649\n",
-      "   2 True\t17370946806841649\t<\t558697531037242786\n",
-      "   3 True\t558697531037242786\t<\t8436089852289569180\n",
-      "   4 True\t8436089852289569180\t<\t9153765488860782183\n",
-      "   1 True\t9153765488860782183\t=\t9153765488860782183\n",
-      "   2 False\t9153765488860782183\t>\t5806774479905117355\n",
-      "   3 False\t5806774479905117355\t>\t675179477610007689\n",
-      "   4 False\t675179477610007689\t>\t5431890923849709\n",
-      "   2 True\t5431890923849709\t<\t3025724680829764434\n",
-      "   3 True\t3025724680829764434\t<\t4042358256484117737\n",
-      "   4 True\t4042358256484117737\t<\t6895982205638221374\n",
-      "   5 True\t6895982205638221374\t<\t7545703393391378854\n",
-      "   6 True\t7545703393391378854\t<\t9153251932855753765\n",
-      "   7 True\t9153251932855753765\t<\t9209924444904797676\n",
-      "   8 True\t9209924444904797676\t<\t9222622291025011412\n",
-      "   2 False\t9222622291025011412\t>\t2662439274874080802\n",
-      "   3 False\t2662439274874080802\t>\t1889771953627773229\n",
-      "   4 False\t1889771953627773229\t>\t1339846815338544299\n",
-      "   5 False\t1339846815338544299\t>\t437767426080842887\n",
-      "   1 False\t437767426080842887\t=\t437767426080842887\n",
-      "   2 False\t437767426080842887\t>\t391245184864991271\n",
-      "   3 False\t391245184864991271\t>\t60016183165336643\n",
-      "   4 False\t60016183165336643\t>\t17261509962448168\n",
-      "   5 False\t17261509962448168\t>\t2815412763197390\n",
-      "   2 True\t2815412763197390\t<\t2901751535906820634\n",
-      "   2 False\t2901751535906820634\t>\t1887807245021559691\n",
-      "   3 False\t1887807245021559691\t>\t1646563098775977262\n",
-      "   2 True\t1646563098775977262\t<\t8027420614658689788\n",
-      "   3 True\t8027420614658689788\t<\t9008491244236201856\n",
-      "   4 True\t9008491244236201856\t<\t9197392153178294967\n",
-      "   5 True\t9197392153178294967\t<\t9203151866685316431\n",
-      "   2 False\t9203151866685316431\t>\t5692330931164333824\n",
-      "   3 False\t5692330931164333824\t>\t1640193597271987405\n",
-      "   4 False\t1640193597271987405\t>\t1518788684803696886\n",
-      "   5 False\t1518788684803696886\t>\t676374730613565551\n",
-      "   6 False\t676374730613565551\t>\t54023258237422142\n",
-      "   7 False\t54023258237422142\t>\t11750927223743568\n",
-      "   8 False\t11750927223743568\t>\t10674352330224207\n",
-      "   9 False\t10674352330224207\t>\t8876486310529732\n",
-      "  10 False\t8876486310529732\t>\t3301243337632081\n",
-      "  11 False\t3301243337632081\t>\t3051812033929985\n",
-      "  12 False\t3051812033929985\t>\t2039709436003006\n",
-      "  13 False\t2039709436003006\t>\t348392068453595\n",
-      "  14 False\t348392068453595\t>\t190997182938743\n",
-      "  15 False\t190997182938743\t>\t4605167152329\n",
-      "  16 False\t4605167152329\t>\t3737336889150\n",
-      "  17 False\t3737336889150\t>\t2219049741430\n",
-      "  18 False\t2219049741430\t>\t873171096338\n",
-      "  19 False\t873171096338\t>\t534436145055\n",
-      "   2 True\t534436145055\t<\t79978979607529805\n",
-      "   2 False\t79978979607529805\t>\t31143317034324164\n",
-      "   3 False\t31143317034324164\t>\t2448993331835292\n",
-      "   4 False\t2448993331835292\t>\t95606880539393\n",
-      "   5 False\t95606880539393\t>\t25204050575576\n",
-      "   6 False\t25204050575576\t>\t3401873854100\n",
-      "   2 True\t3401873854100\t<\t2468061031176930084\n",
-      "   3 True\t2468061031176930084\t<\t6543018780631273161\n",
-      "   4 True\t6543018780631273161\t<\t6810810384559328042\n",
-      "   5 True\t6810810384559328042\t<\t6967249147617887738\n",
-      "   6 True\t6967249147617887738\t<\t8249343625464969868\n",
-      "   7 True\t8249343625464969868\t<\t8578328009262392493\n",
-      "   2 False\t8578328009262392493\t>\t4803832803693708267\n",
-      "   3 False\t4803832803693708267\t>\t1031418619256088215\n",
-      "   4 False\t1031418619256088215\t>\t275415818357341196\n",
-      "   2 True\t275415818357341196\t<\t6198685053531147242\n",
-      "   2 False\t6198685053531147242\t>\t3293682217850778386\n",
-      "   2 True\t3293682217850778386\t<\t5582861432970660611\n",
-      "   3 True\t5582861432970660611\t<\t8249883760982310220\n",
-      "   2 False\t8249883760982310220\t>\t7417859205887507450\n",
-      "   3 False\t7417859205887507450\t>\t7310294193144793176\n",
-      "   2 True\t7310294193144793176\t<\t7696819113116112099\n",
-      "   3 True\t7696819113116112099\t<\t8354707118398673694\n",
-      "   2 False\t8354707118398673694\t>\t1806738699311656213\n",
-      "   3 False\t1806738699311656213\t>\t576140263310029747\n",
-      "   2 True\t576140263310029747\t<\t4824334447728002237\n",
-      "   3 True\t4824334447728002237\t<\t9135313571559884745\n",
-      "   4 True\t9135313571559884745\t<\t9177090329721481983\n",
-      "   5 True\t9177090329721481983\t<\t9188076298407920450\n",
-      "   6 True\t9188076298407920450\t<\t9222831887356828314\n",
-      "   7 True\t9222831887356828314\t<\t9222876687833936095\n",
-      "   8 True\t9222876687833936095\t<\t9222888426044030020\n",
-      "   1 True\t9222888426044030020\t=\t9222888426044030020\n",
-      "   2 False\t9222888426044030020\t>\t7670182871501926862\n",
-      "   3 False\t7670182871501926862\t>\t5694303882478560891\n",
-      "   2 True\t5694303882478560891\t<\t5751911829747345909\n",
-      "   3 True\t5751911829747345909\t<\t7313743258867300222\n",
-      "   4 True\t7313743258867300222\t<\t7563149982993421819\n",
-      "   5 True\t7563149982993421819\t<\t8857942942634501867\n",
-      "   6 True\t8857942942634501867\t<\t9154556079643088081\n",
-      "   7 True\t9154556079643088081\t<\t9208347538676257715\n",
-      "   2 False\t9208347538676257715\t>\t834083484335751137\n",
-      "   3 False\t834083484335751137\t>\t3254477831464285\n",
-      "   4 False\t3254477831464285\t>\t841807661736482\n",
-      "   2 True\t841807661736482\t<\t3271662226654735257\n",
-      "   1 True\t3271662226654735257\t=\t3271662226654735257\n",
-      "   2 True\t3271662226654735257\t<\t5382071461983597229\n",
-      "   2 False\t5382071461983597229\t>\t4047845363135441510\n",
-      "   2 True\t4047845363135441510\t<\t7402987339769939980\n",
-      "   3 True\t7402987339769939980\t<\t8459876559908188163\n",
-      "   4 True\t8459876559908188163\t<\t8614797725112071435\n",
-      "   2 False\t8614797725112071435\t>\t2811611040961677543\n",
-      "   3 False\t2811611040961677543\t>\t984872141271793029\n",
-      "   4 False\t984872141271793029\t>\t48232759568772303\n",
-      "   5 False\t48232759568772303\t>\t18982703569679259\n",
-      "   6 False\t18982703569679259\t>\t6686305372581271\n",
-      "   7 False\t6686305372581271\t>\t3917643637898129\n",
-      "   2 True\t3917643637898129\t<\t7362736378692631867\n",
-      "   2 False\t7362736378692631867\t>\t5864556251106309485\n",
-      "   1 False\t5864556251106309485\t=\t5864556251106309485\n",
-      "   2 False\t5864556251106309485\t>\t2587379970355424987\n",
-      "   3 False\t2587379970355424987\t>\t2452585242963271611\n",
-      "   4 False\t2452585242963271611\t>\t1047014404358599561\n",
-      "   5 False\t1047014404358599561\t>\t927332130024622557\n",
-      "   6 False\t927332130024622557\t>\t138698106573739290\n",
-      "   7 False\t138698106573739290\t>\t67165927250137175\n",
-      "   8 False\t67165927250137175\t>\t38714997056460371\n",
-      "   2 True\t38714997056460371\t<\t4360748043186233365\n",
-      "   3 True\t4360748043186233365\t<\t9135834696825447015\n",
-      "   2 False\t9135834696825447015\t>\t5201738138708293275\n",
-      "   2 True\t5201738138708293275\t<\t6016344816614759115\n",
-      "   2 False\t6016344816614759115\t>\t4912939098928068460\n",
-      "   2 True\t4912939098928068460\t<\t5530052127054134829\n",
-      "   3 True\t5530052127054134829\t<\t6609392081287577224\n",
-      "   4 True\t6609392081287577224\t<\t8344260874558572210\n",
-      "   5 True\t8344260874558572210\t<\t8534776069082373549\n",
-      "   6 True\t8534776069082373549\t<\t8811525599156112361\n",
-      "   7 True\t8811525599156112361\t<\t9018395319770093596\n",
-      "   8 True\t9018395319770093596\t<\t9116501296808142385\n",
-      "   2 False\t9116501296808142385\t>\t4893595509119528442\n",
-      "   3 False\t4893595509119528442\t>\t3406114473585952004\n",
-      "   4 False\t3406114473585952004\t>\t1913959992775154892\n",
-      "   5 False\t1913959992775154892\t>\t173333285000780836\n",
-      "   2 True\t173333285000780836\t<\t2223131182503262978\n",
-      "   3 True\t2223131182503262978\t<\t7113478323922562808\n",
-      "   2 False\t7113478323922562808\t>\t463586678669476412\n",
-      "   3 False\t463586678669476412\t>\t416983849645104492\n",
-      "   4 False\t416983849645104492\t>\t162928950090629095\n",
-      "   5 False\t162928950090629095\t>\t112446123041373909\n",
-      "   6 False\t112446123041373909\t>\t107770075231911966\n",
-      "   2 True\t107770075231911966\t<\t516653192937945926\n",
-      "   1 True\t516653192937945926\t=\t516653192937945926\n",
-      "   2 False\t516653192937945926\t>\t267354861909113399\n",
-      "   2 True\t267354861909113399\t<\t9071019772527745531\n",
-      "   2 False\t9071019772527745531\t>\t8710329360063012875\n",
-      "   2 True\t8710329360063012875\t<\t8928015065837122345\n",
-      "   3 True\t8928015065837122345\t<\t8998169859626898808\n",
-      "   2 False\t8998169859626898808\t>\t1774529839150020881\n",
-      "   3 False\t1774529839150020881\t>\t237399948384940161\n",
-      "   2 True\t237399948384940161\t<\t1738452698776176774\n",
-      "   3 True\t1738452698776176774\t<\t4721468550504497303\n",
-      "   4 True\t4721468550504497303\t<\t7953311844901762423\n",
-      "   2 False\t7953311844901762423\t>\t6940176153832713464\n",
-      "   3 False\t6940176153832713464\t>\t2457678188307086992\n",
-      "   2 True\t2457678188307086992\t<\t7441264606373567665\n",
-      "   3 True\t7441264606373567665\t<\t8527203722815863432\n",
-      "   4 True\t8527203722815863432\t<\t9206745055503031440\n",
-      "   5 True\t9206745055503031440\t<\t9211656201756635346\n",
-      "   6 True\t9211656201756635346\t<\t9214173054554968550\n",
-      "   7 True\t9214173054554968550\t<\t9220619440824427402\n",
-      "   8 True\t9220619440824427402\t<\t9222389590095357538\n",
-      "   9 True\t9222389590095357538\t<\t9222910087509308089\n",
-      "  10 True\t9222910087509308089\t<\t9223230860813586478\n",
-      "  11 True\t9223230860813586478\t<\t9223235331914689948\n",
-      "   2 False\t9223235331914689948\t>\t2232936791861947\n",
-      "   3 False\t2232936791861947\t>\t1203357591386929\n",
-      "   4 False\t1203357591386929\t>\t1079278750022155\n",
-      "   5 False\t1079278750022155\t>\t866093129880943\n",
-      "   2 True\t866093129880943\t<\t4179773353793819220\n",
-      "   3 True\t4179773353793819220\t<\t7097609307197962218\n",
-      "   1 True\t7097609307197962218\t=\t7097609307197962218\n",
-      "   2 True\t7097609307197962218\t<\t9160047704838422874\n",
-      "   3 True\t9160047704838422874\t<\t9199511624011248346\n",
-      "   4 True\t9199511624011248346\t<\t9202253945852348161\n",
-      "   5 True\t9202253945852348161\t<\t9215551221854788242\n",
-      "   1 True\t9215551221854788242\t=\t9215551221854788242\n",
-      "   2 False\t9215551221854788242\t>\t4280971040572224267\n",
-      "   3 False\t4280971040572224267\t>\t2013847118712537590\n",
-      "   4 False\t2013847118712537590\t>\t1132522546375125592\n",
-      "   1 False\t1132522546375125592\t=\t1132522546375125592\n",
-      "   2 False\t1132522546375125592\t>\t246277652860546263\n",
-      "   2 True\t246277652860546263\t<\t9165868572561498818\n",
-      "   3 True\t9165868572561498818\t<\t9210545493157126919\n",
-      "   4 True\t9210545493157126919\t<\t9217124793196685672\n",
-      "   5 True\t9217124793196685672\t<\t9221773478864007837\n",
-      "   2 False\t9221773478864007837\t>\t563145153047677239\n",
-      "   3 False\t563145153047677239\t>\t524870076618443598\n",
-      "   4 False\t524870076618443598\t>\t366375992336040498\n",
-      "   5 False\t366375992336040498\t>\t125384551305509726\n",
-      "   6 False\t125384551305509726\t>\t32567737189774499\n",
-      "   2 True\t32567737189774499\t<\t8788577283071926881\n",
-      "   3 True\t8788577283071926881\t<\t9166320717476792397\n",
-      "   4 True\t9166320717476792397\t<\t9174431513508627109\n",
-      "   2 False\t9174431513508627109\t>\t4006236487084990644\n",
-      "   2 True\t4006236487084990644\t<\t6364895669943924620\n",
-      "   1 True\t6364895669943924620\t=\t6364895669943924620\n",
-      "   2 False\t6364895669943924620\t>\t3117869164123515579\n",
-      "   3 False\t3117869164123515579\t>\t2085854253249667068\n",
-      "   4 False\t2085854253249667068\t>\t871443574085090687\n",
-      "   5 False\t871443574085090687\t>\t592361477935506250\n",
-      "   6 False\t592361477935506250\t>\t266685235831319398\n",
-      "   7 False\t266685235831319398\t>\t247054360939176496\n",
-      "   8 False\t247054360939176496\t>\t66510075551615555\n",
-      "   9 False\t66510075551615555\t>\t6992962757277912\n",
-      "  10 False\t6992962757277912\t>\t5186430705246335\n",
-      "  11 False\t5186430705246335\t>\t3979069095017889\n",
-      "  12 False\t3979069095017889\t>\t765578667249396\n",
-      "  13 False\t765578667249396\t>\t759580022502273\n",
-      "  14 False\t759580022502273\t>\t558441626445485\n",
-      "  15 False\t558441626445485\t>\t201207033489729\n",
-      "  16 False\t201207033489729\t>\t21374084634719\n",
-      "   2 True\t21374084634719\t<\t1097043286581397739\n",
-      "   2 False\t1097043286581397739\t>\t386798031971899528\n",
-      "   3 False\t386798031971899528\t>\t31240420309808208\n",
-      "   2 True\t31240420309808208\t<\t8935114408502827190\n",
-      "   2 False\t8935114408502827190\t>\t6262029196167695343\n",
-      "   2 True\t6262029196167695343\t<\t6297803520011201594\n",
-      "   3 True\t6297803520011201594\t<\t8567524603512348631\n",
-      "   4 True\t8567524603512348631\t<\t9160844417800526396\n",
-      "   5 True\t9160844417800526396\t<\t9197418871017746571\n",
-      "   2 False\t9197418871017746571\t>\t4741197212208336479\n",
-      "   2 True\t4741197212208336479\t<\t7542094697305570317\n",
-      "   3 True\t7542094697305570317\t<\t8653385631353224508\n",
-      "   4 True\t8653385631353224508\t<\t8893071347010952586\n",
-      "   5 True\t8893071347010952586\t<\t8992162119067037493\n",
-      "   6 True\t8992162119067037493\t<\t9140872102469467602\n",
-      "   7 True\t9140872102469467602\t<\t9153620172419413106\n",
-      "   8 True\t9153620172419413106\t<\t9190275027915266613\n",
-      "   2 False\t9190275027915266613\t>\t6708725212399704315\n",
-      "   3 False\t6708725212399704315\t>\t776921986596394304\n",
-      "   2 True\t776921986596394304\t<\t4152188564113622932\n",
-      "   3 True\t4152188564113622932\t<\t8599488870306081782\n",
-      "   4 True\t8599488870306081782\t<\t9217210646252476783\n",
-      "   2 False\t9217210646252476783\t>\t6098390751690373019\n",
-      "   2 True\t6098390751690373019\t<\t7276608941831763245\n",
-      "   3 True\t7276608941831763245\t<\t8953586627145047766\n",
-      "   2 False\t8953586627145047766\t>\t5598841748644097625\n",
-      "   2 True\t5598841748644097625\t<\t6076650083623713426\n",
-      "   1 True\t6076650083623713426\t=\t6076650083623713426\n",
-      "   2 False\t6076650083623713426\t>\t975129890731580452\n",
-      "   3 False\t975129890731580452\t>\t215204347680201526\n",
-      "   2 True\t215204347680201526\t<\t3693288024001472793\n",
-      "   3 True\t3693288024001472793\t<\t5721367467725889191\n",
-      "   4 True\t5721367467725889191\t<\t6284065740461943403\n",
-      "   2 False\t6284065740461943403\t>\t2327218105675230068\n",
-      "   3 False\t2327218105675230068\t>\t2149636534427339653\n",
-      "   4 False\t2149636534427339653\t>\t1603232520812456684\n",
-      "   2 True\t1603232520812456684\t<\t5832164117982523474\n",
-      "   2 False\t5832164117982523474\t>\t2479153270704460101\n",
-      "   3 False\t2479153270704460101\t>\t1631030582057836168\n",
-      "   4 False\t1631030582057836168\t>\t1404433619999542530\n",
-      "   2 True\t1404433619999542530\t<\t2209098496575533709\n",
-      "   3 True\t2209098496575533709\t<\t8968920854576903557\n",
-      "   2 False\t8968920854576903557\t>\t8526125711487122920\n",
-      "   3 False\t8526125711487122920\t>\t7291759330193902312\n",
-      "   2 True\t7291759330193902312\t<\t7481839276264427710\n",
-      "   3 True\t7481839276264427710\t<\t8611740175810600729\n",
-      "   4 True\t8611740175810600729\t<\t8656964458504155814\n",
-      "   5 True\t8656964458504155814\t<\t8916110506426244134\n",
-      "   2 False\t8916110506426244134\t>\t7116969708533193748\n",
-      "   2 True\t7116969708533193748\t<\t7246508220666401155\n",
-      "   3 True\t7246508220666401155\t<\t8900244227087446158\n",
-      "   1 True\t8900244227087446158\t=\t8900244227087446158\n",
-      "   2 True\t8900244227087446158\t<\t9041762199662985757\n",
-      "   3 True\t9041762199662985757\t<\t9121197596163409815\n",
-      "   2 False\t9121197596163409815\t>\t5246145063165635790\n",
-      "   3 False\t5246145063165635790\t>\t4487616857527355877\n",
-      "   4 False\t4487616857527355877\t>\t573421715538176468\n",
-      "   1 False\t573421715538176468\t=\t573421715538176468\n",
-      "   2 False\t573421715538176468\t>\t497081325496356249\n",
-      "   3 False\t497081325496356249\t>\t227984473297430267\n",
-      "   4 False\t227984473297430267\t>\t2576796473853214\n",
-      "   1 False\t2576796473853214\t=\t2576796473853214\n",
-      "   2 False\t2576796473853214\t>\t2010978848316339\n",
-      "   3 False\t2010978848316339\t>\t1062080643777651\n",
-      "   4 False\t1062080643777651\t>\t443978836972620\n",
-      "   2 True\t443978836972620\t<\t4470208128673999331\n",
-      "   3 True\t4470208128673999331\t<\t7124382768373232392\n",
-      "   2 False\t7124382768373232392\t>\t1212172835889791567\n",
-      "   3 False\t1212172835889791567\t>\t719448568984526030\n",
-      "   4 False\t719448568984526030\t>\t524648421433671706\n",
-      "   5 False\t524648421433671706\t>\t365671848014238387\n",
-      "   2 True\t365671848014238387\t<\t8767203052595282021\n",
-      "   2 False\t8767203052595282021\t>\t4676110092453361011\n",
-      "   3 False\t4676110092453361011\t>\t2021407006654538567\n",
-      "   4 False\t2021407006654538567\t>\t990351597931468662\n",
-      "   5 False\t990351597931468662\t>\t604083192294301225\n",
-      "   2 True\t604083192294301225\t<\t7721110854666478859\n",
-      "   2 False\t7721110854666478859\t>\t352056478228509326\n",
-      "   3 False\t352056478228509326\t>\t201898947754426157\n",
-      "   2 True\t201898947754426157\t<\t5845957207191196866\n",
-      "   3 True\t5845957207191196866\t<\t8582573072933492426\n",
-      "   2 False\t8582573072933492426\t>\t6078884307745348137\n",
-      "   2 True\t6078884307745348137\t<\t6488928928572138676\n",
-      "   2 False\t6488928928572138676\t>\t2981790897994139084\n",
-      "   2 True\t2981790897994139084\t<\t6709406456167525289\n",
-      "   2 False\t6709406456167525289\t>\t227762066178453560\n",
-      "   3 False\t227762066178453560\t>\t219695312807426818\n",
-      "   4 False\t219695312807426818\t>\t116780809161174370\n",
-      "   5 False\t116780809161174370\t>\t87265903049891244\n",
-      "   6 False\t87265903049891244\t>\t74423606558735690\n",
-      "   2 True\t74423606558735690\t<\t1765961779065049665\n",
-      "   3 True\t1765961779065049665\t<\t3960602427316843805\n",
-      "   4 True\t3960602427316843805\t<\t6068404680234217017\n",
-      "   2 False\t6068404680234217017\t>\t24126098508211840\n",
-      "   3 False\t24126098508211840\t>\t9419318057770597\n",
-      "   2 True\t9419318057770597\t<\t1265784019630864795\n",
-      "   3 True\t1265784019630864795\t<\t7130341901844161518\n",
-      "   2 False\t7130341901844161518\t>\t3835620097977285409\n",
-      "   3 False\t3835620097977285409\t>\t2162958535060764181\n",
-      "   4 False\t2162958535060764181\t>\t869271059365758388\n",
-      "   2 True\t869271059365758388\t<\t5982243266757093788\n",
-      "   2 False\t5982243266757093788\t>\t3602774546433492727\n",
-      "   2 True\t3602774546433492727\t<\t4327179540800969783\n",
-      "   3 True\t4327179540800969783\t<\t7558546359910528405\n",
-      "   4 True\t7558546359910528405\t<\t8910858690552940617\n",
-      "   5 True\t8910858690552940617\t<\t9173102656727570070\n",
-      "   6 True\t9173102656727570070\t<\t9191946267566587108\n",
-      "   7 True\t9191946267566587108\t<\t9209404414488497561\n",
-      "   8 True\t9209404414488497561\t<\t9213272837781052218\n",
-      "   9 True\t9213272837781052218\t<\t9217277147931972325\n",
-      "  10 True\t9217277147931972325\t<\t9217540318968956678\n",
-      "  11 True\t9217540318968956678\t<\t9220489873998027009\n",
-      "  12 True\t9220489873998027009\t<\t9222070014883278064\n",
-      "   1 True\t9222070014883278064\t=\t9222070014883278064\n",
-      "   2 False\t9222070014883278064\t>\t1573986108198625991\n",
-      "   3 False\t1573986108198625991\t>\t1281888765038861572\n",
-      "   4 False\t1281888765038861572\t>\t1082868528190570147\n",
-      "   5 False\t1082868528190570147\t>\t996461351374307124\n",
-      "   2 True\t996461351374307124\t<\t8861247773322718464\n",
-      "   3 True\t8861247773322718464\t<\t9069163902989165194\n",
-      "   4 True\t9069163902989165194\t<\t9155646373825905009\n",
-      "   5 True\t9155646373825905009\t<\t9180872910901874869\n",
-      "   6 True\t9180872910901874869\t<\t9199291689562218957\n",
-      "   7 True\t9199291689562218957\t<\t9210150439966691704\n",
-      "   8 True\t9210150439966691704\t<\t9220870849137349709\n",
-      "   9 True\t9220870849137349709\t<\t9221940086297364518\n",
-      "  10 True\t9221940086297364518\t<\t9222741669140263180\n",
-      "  11 True\t9222741669140263180\t<\t9222963626804619752\n",
-      "   2 False\t9222963626804619752\t>\t3327852123312505071\n",
-      "   3 False\t3327852123312505071\t>\t3244684560957350353\n",
-      "   4 False\t3244684560957350353\t>\t2901729739625850863\n",
-      "   5 False\t2901729739625850863\t>\t2206113794347590143\n",
-      "   6 False\t2206113794347590143\t>\t1308432916302524258\n",
-      "   7 False\t1308432916302524258\t>\t190569701330260170\n",
-      "   2 True\t190569701330260170\t<\t2401380389798534323\n",
-      "   2 False\t2401380389798534323\t>\t2101254420412426452\n",
-      "   3 False\t2101254420412426452\t>\t133952941754148353\n",
-      "   2 True\t133952941754148353\t<\t3538190817484103554\n",
-      "   2 False\t3538190817484103554\t>\t412520149350998128\n",
-      "   3 False\t412520149350998128\t>\t181180252250903616\n",
-      "   2 True\t181180252250903616\t<\t8174024615474138099\n",
-      "   3 True\t8174024615474138099\t<\t8289693954639505607\n",
-      "   4 True\t8289693954639505607\t<\t9120645096568213125\n",
-      "   5 True\t9120645096568213125\t<\t9157339925099596582\n",
-      "   6 True\t9157339925099596582\t<\t9211577731716897679\n",
-      "   7 True\t9211577731716897679\t<\t9212665157831273271\n",
-      "   8 True\t9212665157831273271\t<\t9218944927018881189\n",
-      "   2 False\t9218944927018881189\t>\t7688255902319522596\n",
-      "   3 False\t7688255902319522596\t>\t7361772852778976566\n",
-      "   4 False\t7361772852778976566\t>\t4486161813339023721\n",
-      "   5 False\t4486161813339023721\t>\t4322886349564887030\n",
-      "   2 True\t4322886349564887030\t<\t4422926006823987922\n",
-      "   3 True\t4422926006823987922\t<\t8249116698206928184\n",
-      "   4 True\t8249116698206928184\t<\t8817638293187523096\n",
-      "   5 True\t8817638293187523096\t<\t9171681339484169489\n",
-      "   2 False\t9171681339484169489\t>\t3377099797590458430\n",
-      "   2 True\t3377099797590458430\t<\t4091818173501530652\n",
-      "   2 False\t4091818173501530652\t>\t801080066378574225\n",
-      "   3 False\t801080066378574225\t>\t56812462129762512\n",
-      "   4 False\t56812462129762512\t>\t51579110180468474\n",
-      "   2 True\t51579110180468474\t<\t3559868926966945945\n",
-      "   2 False\t3559868926966945945\t>\t2201362884485000427\n",
-      "   2 True\t2201362884485000427\t<\t4938880780385386169\n",
-      "   2 False\t4938880780385386169\t>\t3511031893354519981\n",
-      "   3 False\t3511031893354519981\t>\t1879974885080210392\n",
-      "   2 True\t1879974885080210392\t<\t7537389843083363629\n",
-      "   3 True\t7537389843083363629\t<\t7778883943058551772\n",
-      "   2 False\t7778883943058551772\t>\t6971799817332830364\n",
-      "   3 False\t6971799817332830364\t>\t6140142931324683074\n",
-      "   2 True\t6140142931324683074\t<\t6410548835303289448\n",
-      "   3 True\t6410548835303289448\t<\t8631101447676532656\n",
-      "   2 False\t8631101447676532656\t>\t6694668558165776641\n",
-      "   2 True\t6694668558165776641\t<\t8688195019499801411\n",
-      "   1 True\t8688195019499801411\t=\t8688195019499801411\n",
-      "   2 False\t8688195019499801411\t>\t1214044000818526204\n",
-      "   3 False\t1214044000818526204\t>\t679130299972793409\n",
-      "   4 False\t679130299972793409\t>\t476790640091261719\n",
-      "   5 False\t476790640091261719\t>\t44340680810798640\n",
-      "   6 False\t44340680810798640\t>\t32964953018940733\n",
-      "   7 False\t32964953018940733\t>\t28806976016080485\n",
-      "   2 True\t28806976016080485\t<\t9119111394357109732\n",
-      "   2 False\t9119111394357109732\t>\t9051030590688478842\n",
-      "   3 False\t9051030590688478842\t>\t5665070153054535100\n",
-      "   2 True\t5665070153054535100\t<\t7603857662317664165\n",
-      "   2 False\t7603857662317664165\t>\t5280048081727822723\n",
-      "   3 False\t5280048081727822723\t>\t2245513148697232540\n",
-      "   4 False\t2245513148697232540\t>\t311105996012276304\n",
-      "   5 False\t311105996012276304\t>\t581714633976016\n",
-      "   2 True\t581714633976016\t<\t1608901552157763638\n",
-      "   3 True\t1608901552157763638\t<\t3485958938867583622\n",
-      "   2 False\t3485958938867583622\t>\t2145148804330047136\n",
-      "   3 False\t2145148804330047136\t>\t1459573968836964358\n",
-      "   2 True\t1459573968836964358\t<\t6056577902920287922\n",
-      "   3 True\t6056577902920287922\t<\t7794623185760420926\n",
-      "   4 True\t7794623185760420926\t<\t8240960988338288936\n",
-      "   5 True\t8240960988338288936\t<\t8412310257206458199\n",
-      "   6 True\t8412310257206458199\t<\t8734742126986642470\n",
-      "   7 True\t8734742126986642470\t<\t9096590987993870405\n",
-      "   8 True\t9096590987993870405\t<\t9166260200573613739\n",
-      "   9 True\t9166260200573613739\t<\t9171877183174514354\n",
-      "  10 True\t9171877183174514354\t<\t9175737506409649131\n",
-      "  11 True\t9175737506409649131\t<\t9179164971538084085\n",
-      "   2 False\t9179164971538084085\t>\t5369388067469634278\n",
-      "   2 True\t5369388067469634278\t<\t6936613566760009980\n",
-      "   3 True\t6936613566760009980\t<\t8159664310668973100\n",
-      "   4 True\t8159664310668973100\t<\t8798562521592161169\n",
-      "   5 True\t8798562521592161169\t<\t8928612308422760165\n",
-      "   6 True\t8928612308422760165\t<\t9074300604367459140\n",
-      "   7 True\t9074300604367459140\t<\t9132467576033095226\n",
-      "   8 True\t9132467576033095226\t<\t9208970434695712465\n",
-      "   9 True\t9208970434695712465\t<\t9220436057540534008\n",
-      "  10 True\t9220436057540534008\t<\t9222430567891854385\n",
-      "  11 True\t9222430567891854385\t<\t9223154589256272610\n",
-      "  12 True\t9223154589256272610\t<\t9223221540489925710\n",
-      "  13 True\t9223221540489925710\t<\t9223230813300456026\n",
-      "  14 True\t9223230813300456026\t<\t9223364216265400883\n",
-      "   2 False\t9223364216265400883\t>\t4207381224864207763\n",
-      "   3 False\t4207381224864207763\t>\t3683387066637122085\n",
-      "   4 False\t3683387066637122085\t>\t3506307513321977676\n",
-      "   2 True\t3506307513321977676\t<\t4750776525109538114\n",
-      "   3 True\t4750776525109538114\t<\t6135060983391872410\n",
-      "   4 True\t6135060983391872410\t<\t8026158426727340878\n",
-      "   5 True\t8026158426727340878\t<\t8605940625787389037\n",
-      "   2 False\t8605940625787389037\t>\t5881407940830012769\n",
-      "   1 False\t5881407940830012769\t=\t5881407940830012769\n",
-      "   2 False\t5881407940830012769\t>\t2553922634989297120\n",
-      "   2 True\t2553922634989297120\t<\t9079628243947106041\n",
-      "   2 False\t9079628243947106041\t>\t3587465754998322734\n",
-      "   3 False\t3587465754998322734\t>\t500738229300612933\n",
-      "   4 False\t500738229300612933\t>\t242009689998261667\n",
-      "   5 False\t242009689998261667\t>\t173779210931893773\n",
-      "   2 True\t173779210931893773\t<\t4277771049319415662\n",
-      "   2 False\t4277771049319415662\t>\t4037225737561565634\n",
-      "   3 False\t4037225737561565634\t>\t1029722695736600763\n",
-      "   4 False\t1029722695736600763\t>\t848456315321776109\n",
-      "   2 True\t848456315321776109\t<\t3318525580115632380\n",
-      "   2 False\t3318525580115632380\t>\t3039430977325329867\n",
-      "   2 True\t3039430977325329867\t<\t4642040994613925422\n",
-      "   3 True\t4642040994613925422\t<\t5016454443246829846\n",
-      "   4 True\t5016454443246829846\t<\t5075527001639753429\n",
-      "   5 True\t5075527001639753429\t<\t7387886077575095519\n",
-      "   2 False\t7387886077575095519\t>\t1730626515730459435\n",
-      "   3 False\t1730626515730459435\t>\t1561366174720115382\n",
-      "   4 False\t1561366174720115382\t>\t1234430455944156129\n",
-      "   5 False\t1234430455944156129\t>\t1071043971575633614\n",
-      "   2 True\t1071043971575633614\t<\t3652659948771809491\n",
-      "   3 True\t3652659948771809491\t<\t5672180689576446153\n",
-      "   4 True\t5672180689576446153\t<\t9054168325337213718\n",
-      "   5 True\t9054168325337213718\t<\t9191119214755773479\n",
-      "   6 True\t9191119214755773479\t<\t9195944337586293446\n",
-      "   7 True\t9195944337586293446\t<\t9202824411755326627\n",
-      "   2 False\t9202824411755326627\t>\t458680221787791554\n",
-      "   3 False\t458680221787791554\t>\t3072815571938899\n",
-      "   4 False\t3072815571938899\t>\t253242955561337\n",
-      "   5 False\t253242955561337\t>\t81692792921959\n",
-      "   6 False\t81692792921959\t>\t55245905757731\n",
-      "   7 False\t55245905757731\t>\t53579567474827\n",
-      "   2 True\t53579567474827\t<\t2303228915029488086\n",
-      "   2 False\t2303228915029488086\t>\t1710001031300609441\n",
-      "   3 False\t1710001031300609441\t>\t528155553622344167\n",
-      "   4 False\t528155553622344167\t>\t348018243994166646\n",
-      "   2 True\t348018243994166646\t<\t6041076388800281136\n",
-      "   3 True\t6041076388800281136\t<\t7025683137344090623\n",
-      "   4 True\t7025683137344090623\t<\t8425879642054037469\n",
-      "   5 True\t8425879642054037469\t<\t8896371232431383719\n",
-      "   6 True\t8896371232431383719\t<\t9072248028374980346\n",
-      "   7 True\t9072248028374980346\t<\t9206595217625363362\n",
-      "   8 True\t9206595217625363362\t<\t9212246712271019346\n",
-      "   9 True\t9212246712271019346\t<\t9218984902468329137\n",
-      "  10 True\t9218984902468329137\t<\t9219422640920831036\n",
-      "  11 True\t9219422640920831036\t<\t9221834393771748610\n",
-      "   1 True\t9221834393771748610\t=\t9221834393771748610\n",
-      "   2 True\t9221834393771748610\t<\t9222736166351317828\n",
-      "   1 True\t9222736166351317828\t=\t9222736166351317828\n",
-      "   2 True\t9222736166351317828\t<\t9222989761972261977\n",
-      "   3 True\t9222989761972261977\t<\t9223284786501654972\n",
-      "   4 True\t9223284786501654972\t<\t9223371744239443165\n",
-      "   5 True\t9223371744239443165\t<\t9223372027961289064\n",
-      "   6 True\t9223372027961289064\t<\t9223372033835394172\n",
-      "   7 True\t9223372033835394172\t<\t9223372036140936149\n",
-      "   8 True\t9223372036140936149\t<\t9223372036218787273\n",
-      "   9 True\t9223372036218787273\t<\t9223372036259035446\n",
-      "  10 True\t9223372036259035446\t<\t9223372036598895432\n",
-      "   2 False\t9223372036598895432\t>\t7284316156089229152\n",
-      "   2 True\t7284316156089229152\t<\t7517880653465166193\n",
-      "   2 False\t7517880653465166193\t>\t5431469130954186283\n",
-      "   3 False\t5431469130954186283\t>\t3275424622771317718\n",
-      "   4 False\t3275424622771317718\t>\t1618851287044139864\n",
-      "   5 False\t1618851287044139864\t>\t149464559102018888\n",
-      "   6 False\t149464559102018888\t>\t94000767409734489\n",
-      "   7 False\t94000767409734489\t>\t89227699789539887\n",
-      "   2 True\t89227699789539887\t<\t6773580294731723268\n",
-      "   3 True\t6773580294731723268\t<\t7382807052227585833\n",
-      "   2 False\t7382807052227585833\t>\t924335141999986658\n",
-      "   3 False\t924335141999986658\t>\t250072645903458995\n",
-      "   4 False\t250072645903458995\t>\t21892633213988171\n",
-      "   5 False\t21892633213988171\t>\t4079330277686826\n",
-      "   2 True\t4079330277686826\t<\t3440784007734135554\n",
-      "   2 False\t3440784007734135554\t>\t1594648832016242464\n",
-      "   3 False\t1594648832016242464\t>\t1543281764650837928\n",
-      "   2 True\t1543281764650837928\t<\t7135271827224649684\n",
-      "   2 False\t7135271827224649684\t>\t1356174046705549713\n",
-      "   3 False\t1356174046705549713\t>\t611102911228448248\n",
-      "   4 False\t611102911228448248\t>\t515599733246321294\n",
-      "   2 True\t515599733246321294\t<\t1117647778605898797\n",
-      "   3 True\t1117647778605898797\t<\t6513082650148344712\n",
-      "   2 False\t6513082650148344712\t>\t5817991126873254208\n",
-      "   3 False\t5817991126873254208\t>\t561705211935332515\n",
-      "   4 False\t561705211935332515\t>\t397877937698760533\n",
-      "   5 False\t397877937698760533\t>\t239261514941524231\n",
-      "   2 True\t239261514941524231\t<\t8407843415427501072\n",
-      "   3 True\t8407843415427501072\t<\t8409356233690748573\n",
-      "   2 False\t8409356233690748573\t>\t1415097474139307038\n",
-      "   1 False\t1415097474139307038\t=\t1415097474139307038\n",
-      "   2 False\t1415097474139307038\t>\t904055947547808081\n",
-      "   2 True\t904055947547808081\t<\t9034462981396479353\n",
-      "   2 False\t9034462981396479353\t>\t4801928875682824357\n",
-      "   2 True\t4801928875682824357\t<\t5120360917792091587\n",
-      "   3 True\t5120360917792091587\t<\t7434145114722438155\n",
-      "   4 True\t7434145114722438155\t<\t8399897377081527224\n",
-      "   5 True\t8399897377081527224\t<\t9191188553232869546\n",
-      "   6 True\t9191188553232869546\t<\t9218525282926209798\n",
-      "   2 False\t9218525282926209798\t>\t2467302999091060396\n",
-      "   2 True\t2467302999091060396\t<\t4003936726558103130\n",
-      "   2 False\t4003936726558103130\t>\t1697508693531717772\n",
-      "   1 False\t1697508693531717772\t=\t1697508693531717772\n",
-      "   2 True\t1697508693531717772\t<\t7442940058081901948\n",
-      "   3 True\t7442940058081901948\t<\t7855416390997169354\n",
-      "   4 True\t7855416390997169354\t<\t8702372415548630135\n",
-      "   5 True\t8702372415548630135\t<\t9104547874693477968\n",
-      "   2 False\t9104547874693477968\t>\t2443525897038500172\n",
-      "   3 False\t2443525897038500172\t>\t841403750151393706\n",
-      "   4 False\t841403750151393706\t>\t502258284442524473\n",
-      "   5 False\t502258284442524473\t>\t69150142286686667\n",
-      "   2 True\t69150142286686667\t<\t1274317586963479982\n",
-      "   3 True\t1274317586963479982\t<\t5287505467352412406\n",
-      "   2 False\t5287505467352412406\t>\t3864304942047658431\n",
-      "   3 False\t3864304942047658431\t>\t1262849831584058236\n",
-      "   4 False\t1262849831584058236\t>\t420529552259002595\n",
-      "   5 False\t420529552259002595\t>\t283300375341004909\n",
-      "   2 True\t283300375341004909\t<\t7213772170008639794\n",
-      "   3 True\t7213772170008639794\t<\t8773520819091115785\n",
-      "   4 True\t8773520819091115785\t<\t9138456061255772993\n",
-      "   5 True\t9138456061255772993\t<\t9138812498616018857\n",
-      "   6 True\t9138812498616018857\t<\t9169844966257194648\n",
-      "   7 True\t9169844966257194648\t<\t9221018857075647602\n",
-      "   8 True\t9221018857075647602\t<\t9223236869412887863\n",
-      "   9 True\t9223236869412887863\t<\t9223323278318403030\n",
-      "  10 True\t9223323278318403030\t<\t9223341399093552177\n",
-      "   2 False\t9223341399093552177\t>\t1320553990358765179\n",
-      "   2 True\t1320553990358765179\t<\t2910375722812502087\n",
-      "   1 True\t2910375722812502087\t=\t2910375722812502087\n",
-      "   2 True\t2910375722812502087\t<\t5589777918516648968\n",
-      "   3 True\t5589777918516648968\t<\t7230490913374291067\n",
-      "   4 True\t7230490913374291067\t<\t8871846132839985960\n",
-      "   2 False\t8871846132839985960\t>\t6532125872142849220\n",
-      "   3 False\t6532125872142849220\t>\t2853812311646031419\n",
-      "   4 False\t2853812311646031419\t>\t1770202040537547089\n",
-      "   5 False\t1770202040537547089\t>\t1716822451204600437\n",
-      "   6 False\t1716822451204600437\t>\t990989872454372721\n",
-      "   7 False\t990989872454372721\t>\t959590314921144941\n",
-      "   8 False\t959590314921144941\t>\t772526346156118406\n",
-      "   9 False\t772526346156118406\t>\t535172981067354821\n",
-      "   2 True\t535172981067354821\t<\t3050299636660694833\n",
-      "   3 True\t3050299636660694833\t<\t7044237271570633366\n",
-      "   4 True\t7044237271570633366\t<\t8115987897462790756\n",
-      "   2 False\t8115987897462790756\t>\t5153313615962128625\n",
-      "   3 False\t5153313615962128625\t>\t4066407625338137556\n",
-      "   4 False\t4066407625338137556\t>\t3819156303292463480\n",
-      "   5 False\t3819156303292463480\t>\t1636520804375440794\n",
-      "   1 False\t1636520804375440794\t=\t1636520804375440794\n",
-      "   2 False\t1636520804375440794\t>\t76975724047414226\n",
-      "   3 False\t76975724047414226\t>\t28355115658476914\n",
-      "   4 False\t28355115658476914\t>\t18732893274872525\n",
-      "   2 True\t18732893274872525\t<\t3581270275285142041\n",
-      "   2 False\t3581270275285142041\t>\t1882776133056743421\n",
-      "   3 False\t1882776133056743421\t>\t1204888968434183788\n",
-      "   2 True\t1204888968434183788\t<\t8774122814646730548\n",
-      "   2 False\t8774122814646730548\t>\t4389041698653017584\n",
-      "   3 False\t4389041698653017584\t>\t3852573874205527167\n",
-      "   4 False\t3852573874205527167\t>\t2524349141479174671\n",
-      "   2 True\t2524349141479174671\t<\t4875588885669646472\n",
-      "   3 True\t4875588885669646472\t<\t6145550634700257004\n",
-      "   2 False\t6145550634700257004\t>\t3085353053821713374\n",
-      "   2 True\t3085353053821713374\t<\t4523594207997871167\n",
-      "   3 True\t4523594207997871167\t<\t6062114030730748274\n",
-      "   4 True\t6062114030730748274\t<\t6713732310422629341\n",
-      "   5 True\t6713732310422629341\t<\t6963548609721095058\n",
-      "   6 True\t6963548609721095058\t<\t7764061354793242166\n",
-      "   2 False\t7764061354793242166\t>\t2426919436160608156\n",
-      "   3 False\t2426919436160608156\t>\t2135749255700876929\n",
-      "   4 False\t2135749255700876929\t>\t942988290273807175\n",
-      "   5 False\t942988290273807175\t>\t545839178891435483\n",
-      "   6 False\t545839178891435483\t>\t540617758113574575\n",
-      "   7 False\t540617758113574575\t>\t204980793453699118\n",
-      "   2 True\t204980793453699118\t<\t4579977694909256016\n",
-      "   3 True\t4579977694909256016\t<\t8140160293388449450\n",
-      "   4 True\t8140160293388449450\t<\t8340080719196653174\n",
-      "   2 False\t8340080719196653174\t>\t3282334303091930471\n",
-      "   3 False\t3282334303091930471\t>\t1615335067456294963\n",
-      "   4 False\t1615335067456294963\t>\t260000033859901371\n",
-      "   2 True\t260000033859901371\t<\t8630115556770919288\n",
-      "   3 True\t8630115556770919288\t<\t8742825417177890653\n",
-      "   4 True\t8742825417177890653\t<\t8809146997926175240\n",
-      "   2 False\t8809146997926175240\t>\t1187093717978672456\n",
-      "   2 True\t1187093717978672456\t<\t3501481024050978809\n",
-      "   3 True\t3501481024050978809\t<\t8696301232291701636\n",
-      "   2 False\t8696301232291701636\t>\t14101608495149760\n",
-      "   3 False\t14101608495149760\t>\t5194324622591571\n",
-      "   2 True\t5194324622591571\t<\t8344016110170880410\n",
-      "   2 False\t8344016110170880410\t>\t7762866894351298972\n",
-      "   2 True\t7762866894351298972\t<\t8327297226887018915\n",
-      "   2 False\t8327297226887018915\t>\t1380205595721984540\n",
-      "   3 False\t1380205595721984540\t>\t7026279591969299\n",
-      "   4 False\t7026279591969299\t>\t125265940984923\n",
-      "   5 False\t125265940984923\t>\t102805905407508\n",
-      "   2 True\t102805905407508\t<\t5410376394488001335\n",
-      "   3 True\t5410376394488001335\t<\t6667151506961144924\n",
-      "   2 False\t6667151506961144924\t>\t5040631800824650311\n",
-      "   2 True\t5040631800824650311\t<\t6920308050891028592\n",
-      "   3 True\t6920308050891028592\t<\t7618202211294981654\n",
-      "   2 False\t7618202211294981654\t>\t2122082823993167470\n",
-      "   3 False\t2122082823993167470\t>\t463197229652786662\n",
-      "   2 True\t463197229652786662\t<\t2745746340889547097\n",
-      "   2 False\t2745746340889547097\t>\t736753131979489123\n",
-      "   3 False\t736753131979489123\t>\t663636089251849084\n",
-      "   4 False\t663636089251849084\t>\t192482619598993741\n",
-      "   5 False\t192482619598993741\t>\t168274259845442934\n",
-      "   6 False\t168274259845442934\t>\t7156286067427183\n",
-      "   2 True\t7156286067427183\t<\t5506536936169617203\n",
-      "   3 True\t5506536936169617203\t<\t6992246757261179915\n",
-      "   2 False\t6992246757261179915\t>\t1674334590629137026\n",
-      "   2 True\t1674334590629137026\t<\t2808303088050929850\n",
-      "   3 True\t2808303088050929850\t<\t8047945534156992569\n",
-      "   4 True\t8047945534156992569\t<\t8956431064689904703\n",
-      "   5 True\t8956431064689904703\t<\t9173875918021430702\n",
-      "   6 True\t9173875918021430702\t<\t9201230959058577259\n",
-      "   7 True\t9201230959058577259\t<\t9222276416869704355\n",
-      "   8 True\t9222276416869704355\t<\t9223202041313953124\n",
-      "   2 False\t9223202041313953124\t>\t8537312056507633424\n",
-      "   2 True\t8537312056507633424\t<\t8854473618817519268\n",
-      "   3 True\t8854473618817519268\t<\t8969774882506098312\n",
-      "   4 True\t8969774882506098312\t<\t9083830844983813570\n",
-      "   5 True\t9083830844983813570\t<\t9194357482042952802\n",
-      "   2 False\t9194357482042952802\t>\t65668407441751547\n",
-      "   3 False\t65668407441751547\t>\t40231266031336879\n",
-      "   4 False\t40231266031336879\t>\t31330581204578314\n",
-      "   2 True\t31330581204578314\t<\t2173002504278390499\n",
-      "   3 True\t2173002504278390499\t<\t4933100320916595051\n",
-      "   4 True\t4933100320916595051\t<\t8288944446685962414\n",
-      "   5 True\t8288944446685962414\t<\t8584034687167677922\n",
-      "   6 True\t8584034687167677922\t<\t8592707487057860175\n",
-      "   7 True\t8592707487057860175\t<\t8698274241567800510\n",
-      "   2 False\t8698274241567800510\t>\t31014104541666388\n",
-      "   3 False\t31014104541666388\t>\t10342927673407048\n",
-      "   2 True\t10342927673407048\t<\t6838434637346259582\n",
-      "   3 True\t6838434637346259582\t<\t8816065161294018573\n",
-      "   1 True\t8816065161294018573\t=\t8816065161294018573\n",
-      "   2 False\t8816065161294018573\t>\t1575601661282143470\n",
-      "   3 False\t1575601661282143470\t>\t804434298352666714\n",
-      "   4 False\t804434298352666714\t>\t663808832063099819\n",
-      "   5 False\t663808832063099819\t>\t444945811098790850\n",
-      "   2 True\t444945811098790850\t<\t2987198942911177593\n",
-      "   3 True\t2987198942911177593\t<\t4788796325098588121\n",
-      "   4 True\t4788796325098588121\t<\t7686264651554110676\n",
-      "   5 True\t7686264651554110676\t<\t8608256535175250498\n",
-      "   6 True\t8608256535175250498\t<\t8734184104175964822\n",
-      "   7 True\t8734184104175964822\t<\t9165341153821191173\n",
-      "   8 True\t9165341153821191173\t<\t9175128505181636041\n",
-      "   9 True\t9175128505181636041\t<\t9182724753396082844\n",
-      "  10 True\t9182724753396082844\t<\t9210713927983730372\n",
-      "  11 True\t9210713927983730372\t<\t9220942908730996779\n",
-      "  12 True\t9220942908730996779\t<\t9222588240319708350\n",
-      "  13 True\t9222588240319708350\t<\t9223136449768599499\n",
-      "  14 True\t9223136449768599499\t<\t9223281719100282375\n",
-      "  15 True\t9223281719100282375\t<\t9223355414927765857\n",
-      "   1 True\t9223355414927765857\t=\t9223355414927765857\n",
-      "   2 True\t9223355414927765857\t<\t9223367992352645462\n",
-      "   3 True\t9223367992352645462\t<\t9223370674318823258\n",
-      "   2 False\t9223370674318823258\t>\t2674758847640139764\n",
-      "   3 False\t2674758847640139764\t>\t839152941519250001\n",
-      "   4 False\t839152941519250001\t>\t145173384000138671\n",
-      "   5 False\t145173384000138671\t>\t5877093593179633\n",
-      "   6 False\t5877093593179633\t>\t5839533508264113\n",
-      "   7 False\t5839533508264113\t>\t1349571212978002\n",
-      "   8 False\t1349571212978002\t>\t294887252284551\n",
-      "   2 True\t294887252284551\t<\t2857642188552881995\n",
-      "   3 True\t2857642188552881995\t<\t6453317660507748203\n",
-      "   2 False\t6453317660507748203\t>\t6219378100668156499\n",
-      "   2 True\t6219378100668156499\t<\t6696901595651112388\n",
-      "   3 True\t6696901595651112388\t<\t7306471100396519188\n",
-      "   2 False\t7306471100396519188\t>\t1704970321284195891\n",
-      "   3 False\t1704970321284195891\t>\t451388227485383567\n",
-      "   2 True\t451388227485383567\t<\t6114587005444719912\n",
-      "   3 True\t6114587005444719912\t<\t8113161114347877224\n",
-      "   2 False\t8113161114347877224\t>\t4134905897701200076\n",
-      "   3 False\t4134905897701200076\t>\t2203396480869732344\n",
-      "   2 True\t2203396480869732344\t<\t2222844668763754365\n",
-      "   3 True\t2222844668763754365\t<\t2659557769723870048\n",
-      "   4 True\t2659557769723870048\t<\t6710133027913130287\n",
-      "   2 False\t6710133027913130287\t>\t5987909081150589004\n",
-      "   2 True\t5987909081150589004\t<\t9127796811389234858\n",
-      "   3 True\t9127796811389234858\t<\t9223027425518626679\n",
-      "   4 True\t9223027425518626679\t<\t9223045749916614505\n",
-      "   5 True\t9223045749916614505\t<\t9223344672692903021\n",
-      "   6 True\t9223344672692903021\t<\t9223351401080326315\n",
-      "   2 False\t9223351401080326315\t>\t6408420668309125193\n",
-      "   2 True\t6408420668309125193\t<\t6751702500499532222\n",
-      "   3 True\t6751702500499532222\t<\t6814446586602245206\n",
-      "   4 True\t6814446586602245206\t<\t9188913470828217983\n",
-      "   5 True\t9188913470828217983\t<\t9204826709681919469\n",
-      "   6 True\t9204826709681919469\t<\t9222967910643320819\n",
-      "   2 False\t9222967910643320819\t>\t8633422839897953573\n",
-      "   2 True\t8633422839897953573\t<\t8808433831460538754\n",
-      "   3 True\t8808433831460538754\t<\t8819317758462444484\n",
-      "   4 True\t8819317758462444484\t<\t9107660117516727804\n",
-      "   5 True\t9107660117516727804\t<\t9150306667865237143\n",
-      "   2 False\t9150306667865237143\t>\t5688481695013221394\n",
-      "   3 False\t5688481695013221394\t>\t5644793216527666802\n",
-      "   4 False\t5644793216527666802\t>\t4520547544312347446\n",
-      "   1 False\t4520547544312347446\t=\t4520547544312347446\n",
-      "   2 True\t4520547544312347446\t<\t6265829141495228059\n",
-      "   2 False\t6265829141495228059\t>\t768575628275489230\n",
-      "   3 False\t768575628275489230\t>\t241611253638928258\n",
-      "   4 False\t241611253638928258\t>\t94524108541206241\n",
-      "   5 False\t94524108541206241\t>\t21731834565519506\n",
-      "   2 True\t21731834565519506\t<\t2736475710129315879\n",
-      "   3 True\t2736475710129315879\t<\t5999638292730486752\n",
-      "   4 True\t5999638292730486752\t<\t6143669934084062050\n",
-      "   5 True\t6143669934084062050\t<\t7928105542501508365\n",
-      "   6 True\t7928105542501508365\t<\t8143524317984151913\n",
-      "   7 True\t8143524317984151913\t<\t8465016714358634953\n",
-      "   2 False\t8465016714358634953\t>\t2013314872688664313\n",
-      "   2 True\t2013314872688664313\t<\t5957159383295271186\n",
-      "   3 True\t5957159383295271186\t<\t6579327435072806486\n",
-      "   2 False\t6579327435072806486\t>\t4815756505434841888\n",
-      "   3 False\t4815756505434841888\t>\t935376747697705570\n",
-      "   2 True\t935376747697705570\t<\t3846805348311215851\n",
-      "   3 True\t3846805348311215851\t<\t3954048075527630966\n",
-      "   4 True\t3954048075527630966\t<\t7553635576591260571\n",
-      "   5 True\t7553635576591260571\t<\t7652982107374716469\n",
-      "   1 True\t7652982107374716469\t=\t7652982107374716469\n",
-      "   2 False\t7652982107374716469\t>\t590118282379468937\n",
-      "   3 False\t590118282379468937\t>\t11529496208250765\n",
-      "   2 True\t11529496208250765\t<\t2630856845401677323\n",
-      "   2 False\t2630856845401677323\t>\t168213494513328838\n",
-      "   3 False\t168213494513328838\t>\t15010313419996033\n",
-      "   2 True\t15010313419996033\t<\t4133670653790658110\n",
-      "   3 True\t4133670653790658110\t<\t5202233575599193470\n",
-      "   2 False\t5202233575599193470\t>\t1358873103453488946\n",
-      "   3 False\t1358873103453488946\t>\t1293748892896824021\n",
-      "   2 True\t1293748892896824021\t<\t7938365442522642640\n",
-      "   3 True\t7938365442522642640\t<\t8484654186129024233\n",
-      "   1 True\t8484654186129024233\t=\t8484654186129024233\n",
-      "   2 False\t8484654186129024233\t>\t6923360056637292155\n",
-      "   2 True\t6923360056637292155\t<\t7808423534231496339\n",
-      "   3 True\t7808423534231496339\t<\t7991440776230025921\n",
-      "   4 True\t7991440776230025921\t<\t9145280239608993318\n",
-      "   2 False\t9145280239608993318\t>\t6408635083907561681\n",
-      "   1 False\t6408635083907561681\t=\t6408635083907561681\n",
-      "   2 True\t6408635083907561681\t<\t7265331212234394037\n",
-      "   3 True\t7265331212234394037\t<\t9052983959583808465\n",
-      "   2 False\t9052983959583808465\t>\t8537932472386599210\n",
-      "   2 True\t8537932472386599210\t<\t9052314391639535536\n",
-      "   3 True\t9052314391639535536\t<\t9199903338973071037\n",
-      "   2 False\t9199903338973071037\t>\t2636444314347025898\n",
-      "   2 True\t2636444314347025898\t<\t6853251803877302119\n",
-      "   3 True\t6853251803877302119\t<\t7624937920430532094\n",
-      "   4 True\t7624937920430532094\t<\t8917577365607682833\n",
-      "   2 False\t8917577365607682833\t>\t1580912762048006327\n",
-      "   3 False\t1580912762048006327\t>\t521623765099950084\n",
-      "   4 False\t521623765099950084\t>\t325556808937020466\n",
-      "   5 False\t325556808937020466\t>\t45893854440319210\n",
-      "   6 False\t45893854440319210\t>\t22007792580565705\n",
-      "   7 False\t22007792580565705\t>\t4245450795495446\n",
-      "   2 True\t4245450795495446\t<\t2587703248762278815\n",
-      "   2 False\t2587703248762278815\t>\t2158273372956553752\n",
-      "   3 False\t2158273372956553752\t>\t211816124629554024\n",
-      "   2 True\t211816124629554024\t<\t1049483399602338264\n",
-      "   3 True\t1049483399602338264\t<\t6346176774400870752\n",
-      "   4 True\t6346176774400870752\t<\t9074909555214393699\n",
-      "   5 True\t9074909555214393699\t<\t9202548341813429034\n",
-      "   2 False\t9202548341813429034\t>\t1250121554515055312\n",
-      "   2 True\t1250121554515055312\t<\t1816477515757760824\n",
-      "   2 False\t1816477515757760824\t>\t1477880459992039013\n",
-      "   3 False\t1477880459992039013\t>\t1396678695013641966\n",
-      "   4 False\t1396678695013641966\t>\t1189996589966662439\n",
-      "   5 False\t1189996589966662439\t>\t98301370677025708\n",
-      "   6 False\t98301370677025708\t>\t93556246079960962\n",
-      "   7 False\t93556246079960962\t>\t92545963212746423\n",
-      "   8 False\t92545963212746423\t>\t17749264933750521\n",
-      "   9 False\t17749264933750521\t>\t16868128509707690\n",
-      "   2 True\t16868128509707690\t<\t6042765205720253283\n",
-      "   3 True\t6042765205720253283\t<\t8207401277184399319\n",
-      "   4 True\t8207401277184399319\t<\t9092488065007291760\n",
-      "   5 True\t9092488065007291760\t<\t9122512832624625316\n",
-      "   6 True\t9122512832624625316\t<\t9218826967246321177\n",
-      "   2 False\t9218826967246321177\t>\t1155988830926489260\n",
-      "   2 True\t1155988830926489260\t<\t3250627760706442279\n",
-      "   3 True\t3250627760706442279\t<\t8603161797651907122\n",
-      "   4 True\t8603161797651907122\t<\t8907732947308833587\n",
-      "   2 False\t8907732947308833587\t>\t7234145706478625645\n",
-      "   3 False\t7234145706478625645\t>\t3722310428399701470\n",
-      "   4 False\t3722310428399701470\t>\t3706414477272578034\n",
-      "   5 False\t3706414477272578034\t>\t2928930568458509015\n",
-      "   6 False\t2928930568458509015\t>\t1161045131525183977\n",
-      "   2 True\t1161045131525183977\t<\t4853675026905288320\n",
-      "   2 False\t4853675026905288320\t>\t3851072020989674297\n",
-      "   3 False\t3851072020989674297\t>\t2451550267612017711\n",
-      "   2 True\t2451550267612017711\t<\t5179062153775814896\n",
-      "   2 False\t5179062153775814896\t>\t1613295395293647481\n",
-      "   3 False\t1613295395293647481\t>\t1567838660297085630\n",
-      "   2 True\t1567838660297085630\t<\t2555010604158424739\n",
-      "   3 True\t2555010604158424739\t<\t7744671908450691779\n",
-      "   4 True\t7744671908450691779\t<\t8633700652429357964\n",
-      "   5 True\t8633700652429357964\t<\t8801236800511235212\n",
-      "   6 True\t8801236800511235212\t<\t8990394235753920499\n",
-      "   2 False\t8990394235753920499\t>\t5267737814230578787\n",
-      "   3 False\t5267737814230578787\t>\t2350535190649481276\n",
-      "   2 True\t2350535190649481276\t<\t2973575893186144349\n",
-      "   3 True\t2973575893186144349\t<\t5626866611382450499\n",
-      "   4 True\t5626866611382450499\t<\t6575590118684774325\n",
-      "   2 False\t6575590118684774325\t>\t1322213799812360390\n",
-      "   2 True\t1322213799812360390\t<\t3825404228304184279\n",
-      "   3 True\t3825404228304184279\t<\t8108882072545415462\n",
-      "   4 True\t8108882072545415462\t<\t8663808215525816190\n",
-      "   2 False\t8663808215525816190\t>\t7602461567211939108\n",
-      "   2 True\t7602461567211939108\t<\t9103203911604042975\n",
-      "   3 True\t9103203911604042975\t<\t9167417073059758796\n",
-      "   2 False\t9167417073059758796\t>\t4348662015263056483\n",
-      "   2 True\t4348662015263056483\t<\t7475280761449766013\n",
-      "   2 False\t7475280761449766013\t>\t3768729797893500541\n",
-      "   3 False\t3768729797893500541\t>\t1238064514749963102\n",
-      "   4 False\t1238064514749963102\t>\t550332671802331859\n",
-      "   5 False\t550332671802331859\t>\t81738711408626427\n",
-      "   6 False\t81738711408626427\t>\t74863804044599617\n",
-      "   7 False\t74863804044599617\t>\t72827406321917827\n",
-      "   8 False\t72827406321917827\t>\t63697531929733391\n",
-      "   9 False\t63697531929733391\t>\t16303087360939331\n",
-      "  10 False\t16303087360939331\t>\t1499389055097670\n",
-      "  11 False\t1499389055097670\t>\t184845313224151\n",
-      "   1 False\t184845313224151\t=\t184845313224151\n",
-      "   2 True\t184845313224151\t<\t8010744339897986310\n",
-      "   3 True\t8010744339897986310\t<\t8982288565439395167\n",
-      "   4 True\t8982288565439395167\t<\t9196504763474692365\n",
-      "   2 False\t9196504763474692365\t>\t7350392447487250677\n",
-      "   3 False\t7350392447487250677\t>\t1159567022787775980\n",
-      "   4 False\t1159567022787775980\t>\t458571223731125830\n",
-      "   1 False\t458571223731125830\t=\t458571223731125830\n",
-      "   2 True\t458571223731125830\t<\t2644340947809761019\n",
-      "   3 True\t2644340947809761019\t<\t8329810011485750455\n",
-      "   2 False\t8329810011485750455\t>\t4484149339459031614\n",
-      "   2 True\t4484149339459031614\t<\t7750569295218708376\n",
-      "   3 True\t7750569295218708376\t<\t8956960207748488923\n",
-      "   4 True\t8956960207748488923\t<\t9014433182112513756\n",
-      "   5 True\t9014433182112513756\t<\t9117789593435300943\n",
-      "   2 False\t9117789593435300943\t>\t1158422840959790357\n",
-      "   2 True\t1158422840959790357\t<\t1960123072146118338\n",
-      "   3 True\t1960123072146118338\t<\t5981408086629527104\n",
-      "   2 False\t5981408086629527104\t>\t1850081866900089412\n",
-      "   2 True\t1850081866900089412\t<\t7442023062068135184\n",
-      "   2 False\t7442023062068135184\t>\t6323202372084862154\n",
-      "   2 True\t6323202372084862154\t<\t8639797187225966001\n",
-      "   3 True\t8639797187225966001\t<\t9000195521796629479\n",
-      "   4 True\t9000195521796629479\t<\t9019603598392490240\n",
-      "   5 True\t9019603598392490240\t<\t9042205081992718516\n",
-      "   6 True\t9042205081992718516\t<\t9056495240863374500\n",
-      "   7 True\t9056495240863374500\t<\t9176201645458295798\n",
-      "   8 True\t9176201645458295798\t<\t9216956020514026752\n",
-      "   2 False\t9216956020514026752\t>\t7220611249988780095\n",
-      "   3 False\t7220611249988780095\t>\t2033371161913835894\n",
-      "   4 False\t2033371161913835894\t>\t998941729548365388\n",
-      "   5 False\t998941729548365388\t>\t146946793008591379\n",
-      "   2 True\t146946793008591379\t<\t8514812633064713594\n",
-      "   3 True\t8514812633064713594\t<\t8736971917110734728\n",
-      "   4 True\t8736971917110734728\t<\t8870628716882066349\n",
-      "   5 True\t8870628716882066349\t<\t9059840292795549957\n",
-      "   6 True\t9059840292795549957\t<\t9209851593610278881\n",
-      "   2 False\t9209851593610278881\t>\t4759019642776230476\n",
-      "   3 False\t4759019642776230476\t>\t2494414254526573004\n",
-      "   4 False\t2494414254526573004\t>\t1567659301587557774\n",
-      "   2 True\t1567659301587557774\t<\t2239545062626284017\n",
-      "   3 True\t2239545062626284017\t<\t4164762740717850099\n",
-      "   4 True\t4164762740717850099\t<\t5266001304667260942\n",
-      "   5 True\t5266001304667260942\t<\t6239990468928755318\n",
-      "   6 True\t6239990468928755318\t<\t8557640194481936318\n",
-      "   2 False\t8557640194481936318\t>\t853024719524493145\n",
-      "   3 False\t853024719524493145\t>\t520143710898874388\n",
-      "   4 False\t520143710898874388\t>\t78118784856018503\n",
-      "   5 False\t78118784856018503\t>\t76244097831761402\n",
-      "   2 True\t76244097831761402\t<\t7800839716819387533\n",
-      "   3 True\t7800839716819387533\t<\t8254790630860158800\n",
-      "   2 False\t8254790630860158800\t>\t2024510773810112777\n",
-      "   3 False\t2024510773810112777\t>\t1308665068265446190\n",
-      "   2 True\t1308665068265446190\t<\t9088931002799974439\n",
-      "   3 True\t9088931002799974439\t<\t9179636026095615378\n",
-      "   4 True\t9179636026095615378\t<\t9217168291665845903\n",
-      "   5 True\t9217168291665845903\t<\t9220357571689634218\n",
-      "   6 True\t9220357571689634218\t<\t9222407364721757052\n",
-      "   2 False\t9222407364721757052\t>\t6760858585047535040\n",
-      "   3 False\t6760858585047535040\t>\t3689722019615602418\n",
-      "   4 False\t3689722019615602418\t>\t2894831366683293267\n",
-      "   5 False\t2894831366683293267\t>\t198339678965815010\n",
-      "   6 False\t198339678965815010\t>\t20370589640975421\n",
-      "   7 False\t20370589640975421\t>\t12686713374920585\n",
-      "   2 True\t12686713374920585\t<\t479364877074285804\n",
-      "   3 True\t479364877074285804\t<\t1545903610815779616\n",
-      "   4 True\t1545903610815779616\t<\t6791597064486058729\n",
-      "   5 True\t6791597064486058729\t<\t6982360267992528016\n",
-      "   6 True\t6982360267992528016\t<\t8217659071214225289\n",
-      "   2 False\t8217659071214225289\t>\t3523301643396964352\n",
-      "   3 False\t3523301643396964352\t>\t2220730721672995530\n",
-      "   2 True\t2220730721672995530\t<\t8182278236479640673\n",
-      "   2 False\t8182278236479640673\t>\t6922507660370026378\n",
-      "   2 True\t6922507660370026378\t<\t7631573564176802588\n",
-      "   3 True\t7631573564176802588\t<\t8430141728715856027\n",
-      "   4 True\t8430141728715856027\t<\t8844672800035563006\n",
-      "   5 True\t8844672800035563006\t<\t8909729602191611146\n",
-      "   6 True\t8909729602191611146\t<\t9123005261218920152\n",
-      "   7 True\t9123005261218920152\t<\t9218645549161229952\n",
-      "   8 True\t9218645549161229952\t<\t9222655118963802376\n",
-      "   2 False\t9222655118963802376\t>\t7170198932961173861\n",
-      "   3 False\t7170198932961173861\t>\t1836562126453164930\n",
-      "   2 True\t1836562126453164930\t<\t7251871274255797592\n",
-      "   2 False\t7251871274255797592\t>\t6178744292647018604\n",
-      "   3 False\t6178744292647018604\t>\t224841132747892762\n",
-      "   2 True\t224841132747892762\t<\t1299676867441438821\n",
-      "   3 True\t1299676867441438821\t<\t3206071764325517744\n",
-      "   2 False\t3206071764325517744\t>\t1581315615177476476\n",
-      "   3 False\t1581315615177476476\t>\t523054501976720009\n",
-      "   2 True\t523054501976720009\t<\t5242253164237979158\n",
-      "   3 True\t5242253164237979158\t<\t6224460346241472084\n",
-      "   4 True\t6224460346241472084\t<\t7675645675324688468\n",
-      "   2 False\t7675645675324688468\t>\t5624073573938280040\n",
-      "   2 True\t5624073573938280040\t<\t8042169557105872713\n",
-      "   2 False\t8042169557105872713\t>\t1071568139256419072\n",
-      "   3 False\t1071568139256419072\t>\t636485981915319256\n",
-      "   4 False\t636485981915319256\t>\t187871884079813761\n",
-      "   5 False\t187871884079813761\t>\t27933229596364802\n",
-      "   6 False\t27933229596364802\t>\t27319025818953803\n",
-      "   7 False\t27319025818953803\t>\t6627019024417989\n",
-      "   8 False\t6627019024417989\t>\t1935128190421585\n",
-      "   9 False\t1935128190421585\t>\t1711377201811462\n",
-      "  10 False\t1711377201811462\t>\t336038164388194\n",
-      "   1 False\t336038164388194\t=\t336038164388194\n",
-      "   2 False\t336038164388194\t>\t27219902907390\n",
-      "   3 False\t27219902907390\t>\t7903189631946\n",
-      "   4 False\t7903189631946\t>\t2795337680058\n",
-      "   5 False\t2795337680058\t>\t1950740455621\n",
-      "   6 False\t1950740455621\t>\t197662635764\n",
-      "   2 True\t197662635764\t<\t6030762387282140227\n",
-      "   2 False\t6030762387282140227\t>\t3495087875030468456\n",
-      "   3 False\t3495087875030468456\t>\t3048771771748795546\n",
-      "   2 True\t3048771771748795546\t<\t3246859287432707756\n",
-      "   3 True\t3246859287432707756\t<\t5763807390144372898\n",
-      "   2 False\t5763807390144372898\t>\t1159854622618290556\n",
-      "   2 True\t1159854622618290556\t<\t1273884248673440878\n",
-      "   3 True\t1273884248673440878\t<\t8267609009370178394\n",
-      "   4 True\t8267609009370178394\t<\t8372794840563604782\n",
-      "   5 True\t8372794840563604782\t<\t9196642271485361001\n",
-      "   6 True\t9196642271485361001\t<\t9211570174843575681\n",
-      "   7 True\t9211570174843575681\t<\t9211876417038383102\n",
-      "   8 True\t9211876417038383102\t<\t9215290129547273828\n",
-      "   2 False\t9215290129547273828\t>\t7118223281577751906\n",
-      "   3 False\t7118223281577751906\t>\t764916250042698459\n",
-      "   4 False\t764916250042698459\t>\t119244535130489052\n",
-      "   5 False\t119244535130489052\t>\t8200420347391438\n",
-      "   2 True\t8200420347391438\t<\t9143148854459763975\n",
-      "   2 False\t9143148854459763975\t>\t1461292609516340286\n",
-      "   1 False\t1461292609516340286\t=\t1461292609516340286\n",
-      "   2 False\t1461292609516340286\t>\t511783026963712037\n",
-      "   3 False\t511783026963712037\t>\t266689266378232770\n",
-      "   2 True\t266689266378232770\t<\t8917127395834869219\n",
-      "   3 True\t8917127395834869219\t<\t8959786896098431123\n",
-      "   4 True\t8959786896098431123\t<\t8985537638640251477\n",
-      "   2 False\t8985537638640251477\t>\t97826662607231456\n",
-      "   2 True\t97826662607231456\t<\t4146466843944429913\n",
-      "   2 False\t4146466843944429913\t>\t3629404453035239103\n",
-      "   3 False\t3629404453035239103\t>\t3472641628440702356\n",
-      "   4 False\t3472641628440702356\t>\t1240614734834768603\n",
-      "   5 False\t1240614734834768603\t>\t614290417193153674\n",
-      "   6 False\t614290417193153674\t>\t409489571582831334\n",
-      "   7 False\t409489571582831334\t>\t280428863051784580\n",
-      "   2 True\t280428863051784580\t<\t6518232784790375875\n",
-      "   3 True\t6518232784790375875\t<\t7691745911523034354\n",
-      "   2 False\t7691745911523034354\t>\t1813274029135704897\n",
-      "   3 False\t1813274029135704897\t>\t283402309430492140\n",
-      "   4 False\t283402309430492140\t>\t232704657639324961\n",
-      "   5 False\t232704657639324961\t>\t95773437323702489\n",
-      "   2 True\t95773437323702489\t<\t5140375206318844348\n",
-      "   2 False\t5140375206318844348\t>\t4075360571063209246\n",
-      "   2 True\t4075360571063209246\t<\t4940245909155712065\n",
-      "   2 False\t4940245909155712065\t>\t2679358954508949655\n",
-      "   3 False\t2679358954508949655\t>\t753064444692739996\n",
-      "   4 False\t753064444692739996\t>\t686669571178469777\n",
-      "   5 False\t686669571178469777\t>\t271641809126394685\n",
-      "   6 False\t271641809126394685\t>\t83451659537822466\n",
-      "   7 False\t83451659537822466\t>\t4713518825996009\n",
-      "   8 False\t4713518825996009\t>\t1179969884444402\n",
-      "   9 False\t1179969884444402\t>\t610571124800194\n",
-      "   2 True\t610571124800194\t<\t6259005014529535993\n",
-      "   3 True\t6259005014529535993\t<\t6939637452227535598\n",
-      "   4 True\t6939637452227535598\t<\t9035746884190868104\n",
-      "   5 True\t9035746884190868104\t<\t9091340701295790466\n",
-      "   2 False\t9091340701295790466\t>\t8669212444318522105\n",
-      "   3 False\t8669212444318522105\t>\t6826352232614334346\n",
-      "   4 False\t6826352232614334346\t>\t3815442005335638180\n",
-      "   5 False\t3815442005335638180\t>\t431991196959169129\n",
-      "   2 True\t431991196959169129\t<\t4874529575429934411\n",
-      "   3 True\t4874529575429934411\t<\t6852655632552742535\n",
-      "   4 True\t6852655632552742535\t<\t9193327015557322041\n",
-      "   5 True\t9193327015557322041\t<\t9195678643665385584\n",
-      "   6 True\t9195678643665385584\t<\t9198418607906636310\n",
-      "   2 False\t9198418607906636310\t>\t5789960619991075982\n",
-      "   3 False\t5789960619991075982\t>\t5065522499211265220\n",
-      "   4 False\t5065522499211265220\t>\t462048695192560548\n",
-      "   5 False\t462048695192560548\t>\t171875941491065004\n",
-      "   6 False\t171875941491065004\t>\t159722667104879494\n",
-      "   7 False\t159722667104879494\t>\t94518169531546328\n",
-      "   2 True\t94518169531546328\t<\t1909033855078425659\n",
-      "   3 True\t1909033855078425659\t<\t3592474944478163317\n",
-      "   4 True\t3592474944478163317\t<\t3718513692402126533\n",
-      "   1 True\t3718513692402126533\t=\t3718513692402126533\n",
-      "   2 True\t3718513692402126533\t<\t5414316382707045110\n",
-      "   3 True\t5414316382707045110\t<\t7446424146618550584\n",
-      "   4 True\t7446424146618550584\t<\t8836643853196973052\n",
-      "   5 True\t8836643853196973052\t<\t9177671550821279277\n",
-      "   6 True\t9177671550821279277\t<\t9202148658414289791\n",
-      "   7 True\t9202148658414289791\t<\t9214570012986564070\n",
-      "   8 True\t9214570012986564070\t<\t9223131698888703960\n",
-      "   9 True\t9223131698888703960\t<\t9223287847125784209\n",
-      "   2 False\t9223287847125784209\t>\t6171594816535474823\n",
-      "   3 False\t6171594816535474823\t>\t4842375462890408996\n",
-      "   4 False\t4842375462890408996\t>\t3844433033956375550\n",
-      "   5 False\t3844433033956375550\t>\t3328362436320930783\n",
-      "   2 True\t3328362436320930783\t<\t9028982301617183318\n",
-      "   3 True\t9028982301617183318\t<\t9113092891500335326\n",
-      "   4 True\t9113092891500335326\t<\t9216499545482954614\n",
-      "   5 True\t9216499545482954614\t<\t9219131854331563078\n",
-      "   2 False\t9219131854331563078\t>\t4115371858272521247\n",
-      "   3 False\t4115371858272521247\t>\t2107041990797472159\n",
-      "   4 False\t2107041990797472159\t>\t1895627833098792289\n",
-      "   2 True\t1895627833098792289\t<\t4950840268523892512\n",
-      "   2 False\t4950840268523892512\t>\t3826568052574086930\n",
-      "   3 False\t3826568052574086930\t>\t571999307561692557\n",
-      "   4 False\t571999307561692557\t>\t21443295516890879\n",
-      "   5 False\t21443295516890879\t>\t4435207837705113\n",
-      "   6 False\t4435207837705113\t>\t430217959145600\n",
-      "   7 False\t430217959145600\t>\t235700989830802\n",
-      "   8 False\t235700989830802\t>\t190607034010445\n",
-      "   9 False\t190607034010445\t>\t74021063870036\n",
-      "   1 False\t74021063870036\t=\t74021063870036\n",
-      "   2 False\t74021063870036\t>\t63204065105959\n",
-      "   1 False\t63204065105959\t=\t63204065105959\n",
-      "   2 True\t63204065105959\t<\t5612308556678082407\n",
-      "   2 False\t5612308556678082407\t>\t4333754868088843311\n",
-      "   2 True\t4333754868088843311\t<\t7832375966143757590\n",
-      "   2 False\t7832375966143757590\t>\t7105985696452940388\n",
-      "   2 True\t7105985696452940388\t<\t8017244201073614753\n",
-      "   3 True\t8017244201073614753\t<\t8553112388817747214\n",
-      "   2 False\t8553112388817747214\t>\t3101710432877951080\n",
-      "   3 False\t3101710432877951080\t>\t2034679807889793435\n",
-      "   4 False\t2034679807889793435\t>\t306698007930840112\n",
-      "   5 False\t306698007930840112\t>\t19852708266233033\n",
-      "   6 False\t19852708266233033\t>\t9604779455870258\n",
-      "   2 True\t9604779455870258\t<\t2441816882615836587\n",
-      "   3 True\t2441816882615836587\t<\t3005064253808849998\n",
-      "   4 True\t3005064253808849998\t<\t7862823564267636008\n",
-      "   2 False\t7862823564267636008\t>\t7437060676653979593\n",
-      "   3 False\t7437060676653979593\t>\t4251993784952285056\n",
-      "   4 False\t4251993784952285056\t>\t2731038071146372046\n",
-      "   5 False\t2731038071146372046\t>\t2400594983264068912\n",
-      "   2 True\t2400594983264068912\t<\t6830813650686217081\n",
-      "   3 True\t6830813650686217081\t<\t8966660316480000789\n",
-      "   2 False\t8966660316480000789\t>\t2109636182888483015\n",
-      "   2 True\t2109636182888483015\t<\t2717305235841168388\n",
-      "   3 True\t2717305235841168388\t<\t5458829014824399682\n",
-      "   4 True\t5458829014824399682\t<\t8353253085531351546\n",
-      "   2 False\t8353253085531351546\t>\t4116518727148792188\n",
-      "   2 True\t4116518727148792188\t<\t7336575690851154887\n",
-      "   3 True\t7336575690851154887\t<\t7890811921379492268\n",
-      "   4 True\t7890811921379492268\t<\t8345399762255187546\n",
-      "   5 True\t8345399762255187546\t<\t8381135533438050733\n",
-      "   6 True\t8381135533438050733\t<\t8989765656330750539\n",
-      "   7 True\t8989765656330750539\t<\t9098715330065345978\n",
-      "   8 True\t9098715330065345978\t<\t9155499418822902193\n",
-      "   9 True\t9155499418822902193\t<\t9179192490718539196\n",
-      "  10 True\t9179192490718539196\t<\t9195713829522552827\n",
-      "   2 False\t9195713829522552827\t>\t2696666235221986541\n",
-      "   3 False\t2696666235221986541\t>\t2615351922508067160\n",
-      "   2 True\t2615351922508067160\t<\t6485264888755041192\n",
-      "   2 False\t6485264888755041192\t>\t1530050114066930231\n",
-      "   3 False\t1530050114066930231\t>\t67025102621197210\n",
-      "   4 False\t67025102621197210\t>\t14628492479471250\n",
-      "   5 False\t14628492479471250\t>\t1051212493302882\n",
-      "   6 False\t1051212493302882\t>\t1035566271272374\n",
-      "   2 True\t1035566271272374\t<\t2405783769315184148\n",
-      "   2 False\t2405783769315184148\t>\t739173700570577713\n",
-      "   3 False\t739173700570577713\t>\t209152264437029746\n",
-      "   4 False\t209152264437029746\t>\t76010956848670132\n",
-      "   2 True\t76010956848670132\t<\t7425388066610660560\n",
-      "   2 False\t7425388066610660560\t>\t5255291844482036375\n",
-      "   2 True\t5255291844482036375\t<\t5509285939235643620\n",
-      "   2 False\t5509285939235643620\t>\t3833589323343809612\n",
-      "   3 False\t3833589323343809612\t>\t689725101866741074\n",
-      "   4 False\t689725101866741074\t>\t419006407322274631\n",
-      "   5 False\t419006407322274631\t>\t19536209056807020\n",
-      "   6 False\t19536209056807020\t>\t5716614761964725\n",
-      "   7 False\t5716614761964725\t>\t2918559648500983\n",
-      "   8 False\t2918559648500983\t>\t741014902715206\n",
-      "   2 True\t741014902715206\t<\t2166468497595746537\n",
-      "   2 False\t2166468497595746537\t>\t991105875491125150\n",
-      "   3 False\t991105875491125150\t>\t329000625755843250\n",
-      "   4 False\t329000625755843250\t>\t93451432998178887\n",
-      "   5 False\t93451432998178887\t>\t21355356546524717\n",
-      "   6 False\t21355356546524717\t>\t2775332763826801\n",
-      "   7 False\t2775332763826801\t>\t1373749919955434\n",
-      "   8 False\t1373749919955434\t>\t1282868377894679\n",
-      "   9 False\t1282868377894679\t>\t1002712401749706\n",
-      "   2 True\t1002712401749706\t<\t3545091339458107724\n",
-      "   3 True\t3545091339458107724\t<\t6795304969380556422\n",
-      "   4 True\t6795304969380556422\t<\t9117548140659750275\n",
-      "   1 True\t9117548140659750275\t=\t9117548140659750275\n",
-      "   2 True\t9117548140659750275\t<\t9143008663811936786\n",
-      "   2 False\t9143008663811936786\t>\t5211781376481878152\n",
-      "   2 True\t5211781376481878152\t<\t5829908245256733546\n",
-      "   2 False\t5829908245256733546\t>\t4496974994536001238\n",
-      "   3 False\t4496974994536001238\t>\t2713568234211945458\n",
-      "   4 False\t2713568234211945458\t>\t618957785371496501\n",
-      "   2 True\t618957785371496501\t<\t2854153224539445924\n",
-      "   3 True\t2854153224539445924\t<\t6582064950677757496\n",
-      "   2 False\t6582064950677757496\t>\t2792578249655533896\n",
-      "   2 True\t2792578249655533896\t<\t6819210259904779476\n",
-      "   1 True\t6819210259904779476\t=\t6819210259904779476\n",
-      "   2 True\t6819210259904779476\t<\t8295991358959186035\n",
-      "   2 False\t8295991358959186035\t>\t8175812618464625718\n",
-      "   3 False\t8175812618464625718\t>\t2743162153416208443\n",
-      "   2 True\t2743162153416208443\t<\t5150085735357817292\n",
-      "   3 True\t5150085735357817292\t<\t5303824228756890044\n",
-      "   4 True\t5303824228756890044\t<\t5352213277834969630\n",
-      "   2 False\t5352213277834969630\t>\t4114931934208548992\n",
-      "   3 False\t4114931934208548992\t>\t249900882012456750\n",
-      "   2 True\t249900882012456750\t<\t3236341558910860894\n",
-      "   2 False\t3236341558910860894\t>\t268816601757386072\n",
-      "   2 True\t268816601757386072\t<\t635909169793575826\n",
-      "   3 True\t635909169793575826\t<\t2648314634357360857\n",
-      "   4 True\t2648314634357360857\t<\t2709790911996031272\n",
-      "   5 True\t2709790911996031272\t<\t7049174046561771875\n",
-      "   6 True\t7049174046561771875\t<\t9149369655089337537\n",
-      "   7 True\t9149369655089337537\t<\t9165634473154131359\n",
-      "   8 True\t9165634473154131359\t<\t9166662778031560312\n",
-      "   9 True\t9166662778031560312\t<\t9181279589092857088\n",
-      "  10 True\t9181279589092857088\t<\t9222702304366898840\n",
-      "   2 False\t9222702304366898840\t>\t9221347927720511787\n",
-      "   3 False\t9221347927720511787\t>\t8598004654801612032\n",
-      "   2 True\t8598004654801612032\t<\t9028834131362332771\n",
-      "   3 True\t9028834131362332771\t<\t9144539769031732069\n",
-      "   2 False\t9144539769031732069\t>\t7684929660034022701\n",
-      "   2 True\t7684929660034022701\t<\t8268041408083640844\n",
-      "   3 True\t8268041408083640844\t<\t9056953523518295827\n",
-      "   4 True\t9056953523518295827\t<\t9182764189056858892\n",
-      "   2 False\t9182764189056858892\t>\t3409296895546534434\n",
-      "   3 False\t3409296895546534434\t>\t1448559461071301413\n",
-      "   4 False\t1448559461071301413\t>\t56660169172542204\n",
-      "   5 False\t56660169172542204\t>\t41277819263672487\n",
-      "   2 True\t41277819263672487\t<\t5906729008828923639\n",
-      "   3 True\t5906729008828923639\t<\t7112612477659551234\n",
-      "   4 True\t7112612477659551234\t<\t9053845448471839054\n",
-      "   5 True\t9053845448471839054\t<\t9215909851057948680\n",
-      "   1 True\t9215909851057948680\t=\t9215909851057948680\n",
-      "   2 True\t9215909851057948680\t<\t9217528868831164571\n",
-      "   3 True\t9217528868831164571\t<\t9221951888970650373\n",
-      "   2 False\t9221951888970650373\t>\t1446848559625377362\n",
-      "   3 False\t1446848559625377362\t>\t271780416247131106\n",
-      "   4 False\t271780416247131106\t>\t159699545360472478\n",
-      "   5 False\t159699545360472478\t>\t36678926015295319\n",
-      "   2 True\t36678926015295319\t<\t7301321345089096155\n",
-      "   3 True\t7301321345089096155\t<\t8245723525656026125\n",
-      "   4 True\t8245723525656026125\t<\t8605728707749895899\n",
-      "   5 True\t8605728707749895899\t<\t8861676224006233259\n",
-      "   2 False\t8861676224006233259\t>\t7363396739933313196\n",
-      "   3 False\t7363396739933313196\t>\t4084806061377546807\n",
-      "   4 False\t4084806061377546807\t>\t433060533961638663\n",
-      "   5 False\t433060533961638663\t>\t227981757866349781\n",
-      "   6 False\t227981757866349781\t>\t354313006433592\n",
-      "   7 False\t354313006433592\t>\t18292352963045\n",
-      "   8 False\t18292352963045\t>\t8276036008051\n",
-      "   9 False\t8276036008051\t>\t5771478826709\n",
-      "  10 False\t5771478826709\t>\t2925787388714\n",
-      "   2 True\t2925787388714\t<\t7466990654681222214\n",
-      "   3 True\t7466990654681222214\t<\t8079748928031817089\n",
-      "   2 False\t8079748928031817089\t>\t7084432812090681937\n",
-      "   3 False\t7084432812090681937\t>\t6149791587575243634\n",
-      "   4 False\t6149791587575243634\t>\t3709898499367630083\n",
-      "   5 False\t3709898499367630083\t>\t2805258811568716527\n",
-      "   6 False\t2805258811568716527\t>\t519523409110434876\n",
-      "   2 True\t519523409110434876\t<\t6788796104853576754\n",
-      "   3 True\t6788796104853576754\t<\t8669809840983902951\n",
-      "   4 True\t8669809840983902951\t<\t8841060266158066632\n",
-      "   5 True\t8841060266158066632\t<\t9027489660846030047\n",
-      "   6 True\t9027489660846030047\t<\t9215172323242784250\n",
-      "   2 False\t9215172323242784250\t>\t2663777099858535542\n",
-      "   3 False\t2663777099858535542\t>\t2345905473541426517\n",
-      "   1 False\t2345905473541426517\t=\t2345905473541426517\n",
-      "   2 False\t2345905473541426517\t>\t876951763711824851\n",
-      "   2 True\t876951763711824851\t<\t6070633211419102928\n",
-      "   3 True\t6070633211419102928\t<\t8203388080255238102\n",
-      "   4 True\t8203388080255238102\t<\t8802046333546256057\n",
-      "   5 True\t8802046333546256057\t<\t9190438659704021646\n",
-      "   2 False\t9190438659704021646\t>\t2120855111128092938\n",
-      "   2 True\t2120855111128092938\t<\t3175951909082713131\n",
-      "   2 False\t3175951909082713131\t>\t2053355900039660952\n",
-      "   3 False\t2053355900039660952\t>\t67637656770724247\n",
-      "   2 True\t67637656770724247\t<\t286867248187176010\n",
-      "   3 True\t286867248187176010\t<\t7940640520225449308\n",
-      "   4 True\t7940640520225449308\t<\t7997848233176877108\n",
-      "   2 False\t7997848233176877108\t>\t2831810020395857868\n",
-      "   3 False\t2831810020395857868\t>\t477034461219936055\n",
-      "   4 False\t477034461219936055\t>\t301412594788707815\n",
-      "   5 False\t301412594788707815\t>\t69066237970021194\n",
-      "   6 False\t69066237970021194\t>\t3574176452730010\n",
-      "   7 False\t3574176452730010\t>\t632341632044246\n",
-      "   8 False\t632341632044246\t>\t95723818092400\n",
-      "   2 True\t95723818092400\t<\t1499910666307238681\n",
-      "   3 True\t1499910666307238681\t<\t6132700495354885684\n",
-      "   4 True\t6132700495354885684\t<\t7411738205622948768\n",
-      "   2 False\t7411738205622948768\t>\t3961870843977344156\n",
-      "   3 False\t3961870843977344156\t>\t246723572094141790\n",
-      "   4 False\t246723572094141790\t>\t142579172528948985\n",
-      "   2 True\t142579172528948985\t<\t362692157243469945\n",
-      "   3 True\t362692157243469945\t<\t7501901878870134897\n",
-      "   4 True\t7501901878870134897\t<\t8695399791371884286\n",
-      "   5 True\t8695399791371884286\t<\t9174854478209447816\n",
-      "   6 True\t9174854478209447816\t<\t9221768179524762313\n",
-      "   7 True\t9221768179524762313\t<\t9222425579353969563\n",
-      "   8 True\t9222425579353969563\t<\t9223085832412626812\n",
-      "   9 True\t9223085832412626812\t<\t9223203919136317640\n",
-      "  10 True\t9223203919136317640\t<\t9223325945548370674\n",
-      "  11 True\t9223325945548370674\t<\t9223335077887280203\n",
-      "   2 False\t9223335077887280203\t>\t3056952450599018506\n",
-      "   2 True\t3056952450599018506\t<\t9184278767907516367\n",
-      "   3 True\t9184278767907516367\t<\t9191220694151505791\n",
-      "   4 True\t9191220694151505791\t<\t9200295703439213414\n",
-      "   5 True\t9200295703439213414\t<\t9213519922545699673\n",
-      "   6 True\t9213519922545699673\t<\t9219243191930840081\n",
-      "   1 True\t9219243191930840081\t=\t9219243191930840081\n",
-      "   2 True\t9219243191930840081\t<\t9219885949498887834\n",
-      "   3 True\t9219885949498887834\t<\t9222611236091049189\n",
-      "   2 False\t9222611236091049189\t>\t2609041224955981843\n",
-      "   3 False\t2609041224955981843\t>\t2544320389697295072\n",
-      "   4 False\t2544320389697295072\t>\t792957005660807929\n",
-      "   2 True\t792957005660807929\t<\t7932708623758946575\n",
-      "   2 False\t7932708623758946575\t>\t5343896787694473661\n",
-      "   3 False\t5343896787694473661\t>\t4962489795353419509\n",
-      "   4 False\t4962489795353419509\t>\t1187998577821714320\n",
-      "   2 True\t1187998577821714320\t<\t6735753070712365157\n",
-      "   3 True\t6735753070712365157\t<\t7451447138328340926\n",
-      "   4 True\t7451447138328340926\t<\t7676580804937763859\n",
-      "   5 True\t7676580804937763859\t<\t8513799189290865402\n",
-      "   2 False\t8513799189290865402\t>\t437950523676002001\n",
-      "   2 True\t437950523676002001\t<\t8792096782919530503\n",
-      "   3 True\t8792096782919530503\t<\t9184214509775623472\n",
-      "   4 True\t9184214509775623472\t<\t9187311820703949563\n",
-      "   5 True\t9187311820703949563\t<\t9197687266193401163\n",
-      "   6 True\t9197687266193401163\t<\t9204537763149059782\n",
-      "   7 True\t9204537763149059782\t<\t9206797648318729108\n",
-      "   1 True\t9206797648318729108\t=\t9206797648318729108\n",
-      "   2 True\t9206797648318729108\t<\t9223012146527449865\n",
-      "   2 False\t9223012146527449865\t>\t2025154311005435989\n",
-      "   3 False\t2025154311005435989\t>\t961275846523658009\n",
-      "   4 False\t961275846523658009\t>\t415593335580883911\n",
-      "   5 False\t415593335580883911\t>\t323658678454384102\n",
-      "   6 False\t323658678454384102\t>\t199339865866443950\n",
-      "   7 False\t199339865866443950\t>\t153046771076380972\n",
-      "   8 False\t153046771076380972\t>\t2353820497814034\n",
-      "   9 False\t2353820497814034\t>\t2064937802460227\n",
-      "   2 True\t2064937802460227\t<\t8344922456397167441\n",
-      "   3 True\t8344922456397167441\t<\t8377536061222099622\n",
-      "   4 True\t8377536061222099622\t<\t8645979008510300893\n",
-      "   2 False\t8645979008510300893\t>\t5163112663458282717\n",
-      "   3 False\t5163112663458282717\t>\t3332941553652472233\n",
-      "   4 False\t3332941553652472233\t>\t3315113228224615715\n",
-      "   2 True\t3315113228224615715\t<\t3342821730713395401\n",
-      "   3 True\t3342821730713395401\t<\t4286083441278348108\n",
-      "   2 False\t4286083441278348108\t>\t2691272983040628177\n",
-      "   3 False\t2691272983040628177\t>\t2139595482660846003\n",
-      "   4 False\t2139595482660846003\t>\t787888342610852221\n",
-      "   5 False\t787888342610852221\t>\t549514489405108550\n",
-      "   6 False\t549514489405108550\t>\t308569468616612743\n",
-      "   7 False\t308569468616612743\t>\t136452188771145654\n",
-      "   8 False\t136452188771145654\t>\t77220724910621851\n",
-      "   2 True\t77220724910621851\t<\t1486618444650228695\n",
-      "   2 False\t1486618444650228695\t>\t104480289883655419\n",
-      "   2 True\t104480289883655419\t<\t611196533835757653\n",
-      "   3 True\t611196533835757653\t<\t3657692604498372755\n",
-      "   4 True\t3657692604498372755\t<\t8748084195085802041\n",
-      "   2 False\t8748084195085802041\t>\t7889690954611865121\n",
-      "   2 True\t7889690954611865121\t<\t9104414655733770928\n",
-      "   2 False\t9104414655733770928\t>\t4628660997173157446\n",
-      "   3 False\t4628660997173157446\t>\t201957567471964835\n",
-      "   4 False\t201957567471964835\t>\t101027008628046372\n",
-      "   5 False\t101027008628046372\t>\t61326405284862611\n",
-      "   2 True\t61326405284862611\t<\t963943331853560800\n",
-      "   3 True\t963943331853560800\t<\t6435016507229565096\n",
-      "   4 True\t6435016507229565096\t<\t6666934331235655436\n",
-      "   2 False\t6666934331235655436\t>\t3261210578964479213\n",
-      "   2 True\t3261210578964479213\t<\t8057269029674018830\n",
-      "   1 True\t8057269029674018830\t=\t8057269029674018830\n",
-      "   2 True\t8057269029674018830\t<\t8430844634292597660\n",
-      "   3 True\t8430844634292597660\t<\t9175326217602098079\n",
-      "   4 True\t9175326217602098079\t<\t9194683477585777465\n",
-      "   5 True\t9194683477585777465\t<\t9213261253205582957\n",
-      "   6 True\t9213261253205582957\t<\t9219261654068236944\n",
-      "   1 True\t9219261654068236944\t=\t9219261654068236944\n",
-      "   2 False\t9219261654068236944\t>\t6573456327522010201\n",
-      "   3 False\t6573456327522010201\t>\t4297785445963634460\n",
-      "   4 False\t4297785445963634460\t>\t2519726195858065198\n",
-      "   1 False\t2519726195858065198\t=\t2519726195858065198\n",
-      "   2 True\t2519726195858065198\t<\t8770889237845169170\n",
-      "   3 True\t8770889237845169170\t<\t8780252018031341828\n",
-      "   4 True\t8780252018031341828\t<\t9033631482006528329\n",
-      "   2 False\t9033631482006528329\t>\t7748128591877341498\n",
-      "   1 False\t7748128591877341498\t=\t7748128591877341498\n",
-      "   2 False\t7748128591877341498\t>\t4033010085185446048\n",
-      "   2 True\t4033010085185446048\t<\t6950427225504850089\n",
-      "   3 True\t6950427225504850089\t<\t7684929615887008762\n",
-      "   4 True\t7684929615887008762\t<\t9202364407472213721\n",
-      "   5 True\t9202364407472213721\t<\t9221261770253352444\n",
-      "   2 False\t9221261770253352444\t>\t262074616142392419\n",
-      "   2 True\t262074616142392419\t<\t8193438498839169176\n",
-      "   3 True\t8193438498839169176\t<\t8891216118910364039\n",
-      "   2 False\t8891216118910364039\t>\t5892016862486910483\n",
-      "   3 False\t5892016862486910483\t>\t2490202965485663806\n",
-      "   4 False\t2490202965485663806\t>\t382862785758095944\n",
-      "   5 False\t382862785758095944\t>\t24983616124058980\n",
-      "   6 False\t24983616124058980\t>\t13634162796352750\n",
-      "   7 False\t13634162796352750\t>\t8327334772763243\n",
-      "   2 True\t8327334772763243\t<\t6600685209539433955\n",
-      "   1 True\t6600685209539433955\t=\t6600685209539433955\n",
-      "   2 True\t6600685209539433955\t<\t8450448668729850751\n",
-      "   2 False\t8450448668729850751\t>\t1201023061668578029\n",
-      "   3 False\t1201023061668578029\t>\t327797927631542798\n",
-      "   2 True\t327797927631542798\t<\t523249671171960945\n",
-      "   3 True\t523249671171960945\t<\t7029923085044744118\n",
-      "   4 True\t7029923085044744118\t<\t8870763016702201361\n",
-      "   5 True\t8870763016702201361\t<\t9126299341504654995\n",
-      "   6 True\t9126299341504654995\t<\t9186974057791529753\n",
-      "   7 True\t9186974057791529753\t<\t9192339324972254960\n",
-      "   1 True\t9192339324972254960\t=\t9192339324972254960\n",
-      "   2 True\t9192339324972254960\t<\t9203457648056663633\n",
-      "   3 True\t9203457648056663633\t<\t9209107425432205821\n",
-      "   4 True\t9209107425432205821\t<\t9218557670247596800\n",
-      "   2 False\t9218557670247596800\t>\t8432010743430566475\n",
-      "   3 False\t8432010743430566475\t>\t6924838458183534313\n",
-      "   4 False\t6924838458183534313\t>\t4627528930047192787\n",
-      "   5 False\t4627528930047192787\t>\t1247386365559353750\n",
-      "   6 False\t1247386365559353750\t>\t399111457869516764\n",
-      "   7 False\t399111457869516764\t>\t293020761486612062\n",
-      "   8 False\t293020761486612062\t>\t153995421364741013\n",
-      "   9 False\t153995421364741013\t>\t91397731419300689\n",
-      "  10 False\t91397731419300689\t>\t40966114641780805\n",
-      "  11 False\t40966114641780805\t>\t5260077347376864\n",
-      "   2 True\t5260077347376864\t<\t1012443202477473723\n",
-      "   3 True\t1012443202477473723\t<\t1777976070511437454\n",
-      "   4 True\t1777976070511437454\t<\t6236185422608708895\n",
-      "   5 True\t6236185422608708895\t<\t6896890279971705793\n",
-      "   6 True\t6896890279971705793\t<\t8987516431588144735\n",
-      "   7 True\t8987516431588144735\t<\t9033819280079004728\n",
-      "   8 True\t9033819280079004728\t<\t9164469410424219724\n",
-      "   2 False\t9164469410424219724\t>\t8774758715517672600\n",
-      "   3 False\t8774758715517672600\t>\t7260776445175781506\n",
-      "   4 False\t7260776445175781506\t>\t5288916315617295532\n",
-      "   5 False\t5288916315617295532\t>\t5264194386225856955\n",
-      "   2 True\t5264194386225856955\t<\t7988727019746490324\n",
-      "   3 True\t7988727019746490324\t<\t8744383424348688222\n",
-      "   2 False\t8744383424348688222\t>\t7502623325288998366\n",
-      "   1 False\t7502623325288998366\t=\t7502623325288998366\n",
-      "   2 True\t7502623325288998366\t<\t8067629098777963138\n",
-      "   3 True\t8067629098777963138\t<\t9069958831933618837\n",
-      "   4 True\t9069958831933618837\t<\t9120379927662602109\n",
-      "   5 True\t9120379927662602109\t<\t9155436839434825036\n",
-      "   1 True\t9155436839434825036\t=\t9155436839434825036\n",
-      "   2 True\t9155436839434825036\t<\t9212045037673202292\n",
-      "   3 True\t9212045037673202292\t<\t9223171616073817871\n",
-      "   4 True\t9223171616073817871\t<\t9223175085771086971\n",
-      "   5 True\t9223175085771086971\t<\t9223199155746699631\n",
-      "   6 True\t9223199155746699631\t<\t9223354590986695841\n",
-      "   7 True\t9223354590986695841\t<\t9223367270521320787\n",
-      "   8 True\t9223367270521320787\t<\t9223368436994378906\n",
-      "   9 True\t9223368436994378906\t<\t9223372000595694683\n",
-      "  10 True\t9223372000595694683\t<\t9223372030381280562\n",
-      "  11 True\t9223372030381280562\t<\t9223372035787011474\n",
-      "   2 False\t9223372035787011474\t>\t4733604008932346710\n",
-      "   3 False\t4733604008932346710\t>\t2041829153327720563\n",
-      "   4 False\t2041829153327720563\t>\t1277423237208587389\n",
-      "   5 False\t1277423237208587389\t>\t805248013591085083\n",
-      "   6 False\t805248013591085083\t>\t7738191719450322\n",
-      "   2 True\t7738191719450322\t<\t3320534706968482259\n",
-      "   3 True\t3320534706968482259\t<\t7451089311212294161\n",
-      "   4 True\t7451089311212294161\t<\t8766790000819873845\n",
-      "   5 True\t8766790000819873845\t<\t9020824782516776762\n",
-      "   6 True\t9020824782516776762\t<\t9022180643211841023\n",
-      "   2 False\t9022180643211841023\t>\t8768431300758984008\n",
-      "   3 False\t8768431300758984008\t>\t3634110283633781351\n",
-      "   4 False\t3634110283633781351\t>\t781422982452590550\n",
-      "   2 True\t781422982452590550\t<\t3193104867100057481\n",
-      "   2 False\t3193104867100057481\t>\t2479893745501844247\n",
-      "   3 False\t2479893745501844247\t>\t1183476304027060031\n",
-      "   2 True\t1183476304027060031\t<\t8573984862001243378\n",
-      "   3 True\t8573984862001243378\t<\t9103991331834981178\n",
-      "   2 False\t9103991331834981178\t>\t1498287060341164441\n",
-      "   3 False\t1498287060341164441\t>\t824536651562910347\n",
-      "   1 False\t824536651562910347\t=\t824536651562910347\n",
-      "   2 False\t824536651562910347\t>\t157867458251892979\n",
-      "   3 False\t157867458251892979\t>\t912248092803956\n",
-      "   4 False\t912248092803956\t>\t695990470876715\n",
-      "   5 False\t695990470876715\t>\t85448382968305\n",
-      "   6 False\t85448382968305\t>\t20957479488747\n",
-      "   7 False\t20957479488747\t>\t17479185447118\n",
-      "   2 True\t17479185447118\t<\t7163090164828114006\n",
-      "   3 True\t7163090164828114006\t<\t7377086102511022505\n",
-      "   4 True\t7377086102511022505\t<\t9189636086782342704\n",
-      "   2 False\t9189636086782342704\t>\t4712651550903775332\n",
-      "   3 False\t4712651550903775332\t>\t3794667024440308321\n",
-      "   4 False\t3794667024440308321\t>\t3047514752602458393\n",
-      "   2 True\t3047514752602458393\t<\t4332320709005383415\n",
-      "   3 True\t4332320709005383415\t<\t4893950022898374969\n",
-      "   4 True\t4893950022898374969\t<\t8665071934331451265\n",
-      "   5 True\t8665071934331451265\t<\t9199863106680196731\n",
-      "   1 True\t9199863106680196731\t=\t9199863106680196731\n",
-      "   2 True\t9199863106680196731\t<\t9205228599809074460\n",
-      "   3 True\t9205228599809074460\t<\t9219422784365450217\n",
-      "   4 True\t9219422784365450217\t<\t9219769538814980997\n",
-      "   5 True\t9219769538814980997\t<\t9222040824068171822\n",
-      "   2 False\t9222040824068171822\t>\t7060830172277601899\n",
-      "   3 False\t7060830172277601899\t>\t5529846675441448126\n",
-      "   4 False\t5529846675441448126\t>\t4087707880710351500\n",
-      "   1 False\t4087707880710351500\t=\t4087707880710351500\n",
-      "   2 False\t4087707880710351500\t>\t62895831266574565\n",
-      "   2 True\t62895831266574565\t<\t1610595974441522010\n",
-      "   2 False\t1610595974441522010\t>\t936820325373192003\n",
-      "   3 False\t936820325373192003\t>\t410165018414135873\n",
-      "   2 True\t410165018414135873\t<\t2951336004681306687\n",
-      "   3 True\t2951336004681306687\t<\t6401704538992475698\n",
-      "   4 True\t6401704538992475698\t<\t6686682655950068574\n",
-      "   2 False\t6686682655950068574\t>\t6656492478382891442\n",
-      "   2 True\t6656492478382891442\t<\t7676912929387206799\n",
-      "   3 True\t7676912929387206799\t<\t9202110454083001148\n",
-      "   4 True\t9202110454083001148\t<\t9212162776605676328\n",
-      "   2 False\t9212162776605676328\t>\t4669415159588709930\n",
-      "   3 False\t4669415159588709930\t>\t388745776482364408\n",
-      "   4 False\t388745776482364408\t>\t78599898814792975\n",
-      "   5 False\t78599898814792975\t>\t16542502680028102\n",
-      "   6 False\t16542502680028102\t>\t5160585704893815\n",
-      "   7 False\t5160585704893815\t>\t47512958593868\n",
-      "   8 False\t47512958593868\t>\t37264959168646\n",
-      "   9 False\t37264959168646\t>\t36062547179579\n",
-      "  10 False\t36062547179579\t>\t12750393477740\n",
-      "   2 True\t12750393477740\t<\t4246363734166746217\n",
-      "   2 False\t4246363734166746217\t>\t3152641861592981336\n",
-      "   3 False\t3152641861592981336\t>\t2639817038721851657\n",
-      "   2 True\t2639817038721851657\t<\t5787219605527869454\n",
-      "   2 False\t5787219605527869454\t>\t4922680353775018362\n",
-      "   2 True\t4922680353775018362\t<\t6037052356720674435\n",
-      "   3 True\t6037052356720674435\t<\t7512440128323640706\n",
-      "   4 True\t7512440128323640706\t<\t8793789159886070380\n",
-      "   5 True\t8793789159886070380\t<\t9196884382294477110\n",
-      "   6 True\t9196884382294477110\t<\t9207260136197564847\n",
-      "   7 True\t9207260136197564847\t<\t9209046018395904193\n",
-      "   8 True\t9209046018395904193\t<\t9214031254221728239\n",
-      "   9 True\t9214031254221728239\t<\t9215133500964961852\n",
-      "  10 True\t9215133500964961852\t<\t9222330829019153787\n",
-      "  11 True\t9222330829019153787\t<\t9223146260424602306\n",
-      "  12 True\t9223146260424602306\t<\t9223326439817424255\n",
-      "  13 True\t9223326439817424255\t<\t9223346628794542710\n",
-      "  14 True\t9223346628794542710\t<\t9223354688778648122\n",
-      "  15 True\t9223354688778648122\t<\t9223359378890663844\n",
-      "   2 False\t9223359378890663844\t>\t127634812526505950\n",
-      "   3 False\t127634812526505950\t>\t35778159704465293\n",
-      "   2 True\t35778159704465293\t<\t673462253149322282\n",
-      "   3 True\t673462253149322282\t<\t3933574331079008326\n",
-      "   4 True\t3933574331079008326\t<\t5939977535873782534\n",
-      "   2 False\t5939977535873782534\t>\t4349745256953514842\n",
-      "   3 False\t4349745256953514842\t>\t1781749340016730646\n",
-      "   2 True\t1781749340016730646\t<\t7039940641723500745\n",
-      "   2 False\t7039940641723500745\t>\t5324986607472658410\n",
-      "   3 False\t5324986607472658410\t>\t2819024414999930055\n",
-      "   4 False\t2819024414999930055\t>\t1530341141256382265\n",
-      "   5 False\t1530341141256382265\t>\t499419308003391509\n",
-      "   2 True\t499419308003391509\t<\t748324171926138549\n",
-      "   3 True\t748324171926138549\t<\t4273963196132606235\n",
-      "   4 True\t4273963196132606235\t<\t7099461777489845345\n",
-      "   5 True\t7099461777489845345\t<\t9133780956879785259\n",
-      "   2 False\t9133780956879785259\t>\t1911060026375224218\n",
-      "   3 False\t1911060026375224218\t>\t150408536678978317\n",
-      "   2 True\t150408536678978317\t<\t281147951898093883\n",
-      "   3 True\t281147951898093883\t<\t5950898996566651226\n",
-      "   2 False\t5950898996566651226\t>\t62651997669495325\n",
-      "   3 False\t62651997669495325\t>\t4901811620341604\n",
-      "   4 False\t4901811620341604\t>\t268203022060525\n",
-      "   5 False\t268203022060525\t>\t225906384737385\n",
-      "   6 False\t225906384737385\t>\t139266265190251\n",
-      "   7 False\t139266265190251\t>\t38071499456367\n",
-      "   8 False\t38071499456367\t>\t7227290630349\n",
-      "   9 False\t7227290630349\t>\t3778226527282\n",
-      "  10 False\t3778226527282\t>\t2225179738951\n",
-      "   2 True\t2225179738951\t<\t1788506718019523593\n",
-      "   2 False\t1788506718019523593\t>\t832084125330558753\n",
-      "   2 True\t832084125330558753\t<\t3665970143705349956\n",
-      "   2 False\t3665970143705349956\t>\t3139097204866576081\n",
-      "   3 False\t3139097204866576081\t>\t1051949367958730503\n",
-      "   4 False\t1051949367958730503\t>\t94022873974398749\n",
-      "   5 False\t94022873974398749\t>\t71166612769464821\n",
-      "   2 True\t71166612769464821\t<\t3380686191885667585\n",
-      "   1 True\t3380686191885667585\t=\t3380686191885667585\n",
-      "   1 True\t3380686191885667585\t=\t3380686191885667585\n",
-      "   2 False\t3380686191885667585\t>\t2466325152662477541\n",
-      "   2 True\t2466325152662477541\t<\t4570479216323454794\n",
-      "   2 False\t4570479216323454794\t>\t1944918471917944782\n",
-      "   3 False\t1944918471917944782\t>\t1710146973196477003\n",
-      "   2 True\t1710146973196477003\t<\t6979996205161019507\n",
-      "   3 True\t6979996205161019507\t<\t8883731365595236910\n",
-      "   1 True\t8883731365595236910\t=\t8883731365595236910\n",
-      "   2 True\t8883731365595236910\t<\t9091305823959171466\n",
-      "   2 False\t9091305823959171466\t>\t7010597058686317314\n",
-      "   2 True\t7010597058686317314\t<\t8232943844890987050\n",
-      "   3 True\t8232943844890987050\t<\t8486136357798983242\n",
-      "   4 True\t8486136357798983242\t<\t8638769521075387921\n",
-      "   5 True\t8638769521075387921\t<\t8964972239097652434\n",
-      "   6 True\t8964972239097652434\t<\t9011291356037667800\n",
-      "   7 True\t9011291356037667800\t<\t9060608927625337500\n",
-      "   8 True\t9060608927625337500\t<\t9213037694606198486\n",
-      "   2 False\t9213037694606198486\t>\t3504809975411789478\n",
-      "   1 False\t3504809975411789478\t=\t3504809975411789478\n",
-      "   2 False\t3504809975411789478\t>\t892545222259277754\n",
-      "   3 False\t892545222259277754\t>\t651760780751300133\n",
-      "   4 False\t651760780751300133\t>\t564181029633854561\n",
-      "   5 False\t564181029633854561\t>\t343700264719816150\n",
-      "   6 False\t343700264719816150\t>\t213394312402190545\n",
-      "   7 False\t213394312402190545\t>\t182731663687746043\n",
-      "   8 False\t182731663687746043\t>\t73495950382126408\n",
-      "   9 False\t73495950382126408\t>\t7793563936151446\n",
-      "  10 False\t7793563936151446\t>\t5175439836862221\n",
-      "  11 False\t5175439836862221\t>\t4500521392241601\n",
-      "  12 False\t4500521392241601\t>\t2841385322465688\n",
-      "  13 False\t2841385322465688\t>\t116541508117770\n",
-      "  14 False\t116541508117770\t>\t83830684907979\n",
-      "  15 False\t83830684907979\t>\t45527046899241\n",
-      "  16 False\t45527046899241\t>\t23558684213769\n",
-      "   2 True\t23558684213769\t<\t1470231194288580855\n",
-      "   3 True\t1470231194288580855\t<\t6682199915123245776\n",
-      "   2 False\t6682199915123245776\t>\t4903424492312625495\n",
-      "   3 False\t4903424492312625495\t>\t2234353250216140957\n",
-      "   4 False\t2234353250216140957\t>\t310319728381655185\n",
-      "   5 False\t310319728381655185\t>\t63068723450366154\n",
-      "   6 False\t63068723450366154\t>\t44346655291718323\n",
-      "   2 True\t44346655291718323\t<\t6062692013583386429\n",
-      "   3 True\t6062692013583386429\t<\t8113377340733386106\n",
-      "   2 False\t8113377340733386106\t>\t3240247348711198750\n",
-      "   3 False\t3240247348711198750\t>\t1929662862500850524\n",
-      "   2 True\t1929662862500850524\t<\t2488832331336870682\n",
-      "   3 True\t2488832331336870682\t<\t4221595818122409371\n",
-      "   4 True\t4221595818122409371\t<\t5258630158729675146\n",
-      "   5 True\t5258630158729675146\t<\t7939209040652996338\n",
-      "   2 False\t7939209040652996338\t>\t5723930842723146495\n",
-      "   3 False\t5723930842723146495\t>\t5222517508835739466\n",
-      "   2 True\t5222517508835739466\t<\t9183882773435778782\n",
-      "   3 True\t9183882773435778782\t<\t9213428636307308837\n",
-      "   4 True\t9213428636307308837\t<\t9215581419270164624\n",
-      "   1 True\t9215581419270164624\t=\t9215581419270164624\n",
-      "   2 True\t9215581419270164624\t<\t9218258304888275630\n",
-      "   3 True\t9218258304888275630\t<\t9221247817147280979\n",
-      "   4 True\t9221247817147280979\t<\t9222038840524737529\n",
-      "   5 True\t9222038840524737529\t<\t9222991531132718281\n",
-      "   1 True\t9222991531132718281\t=\t9222991531132718281\n",
-      "   2 False\t9222991531132718281\t>\t367613739532860865\n",
-      "   3 False\t367613739532860865\t>\t111614668317917330\n",
-      "   4 False\t111614668317917330\t>\t102341598088521478\n",
-      "   5 False\t102341598088521478\t>\t47294654600668150\n",
-      "   2 True\t47294654600668150\t<\t6154963928682082920\n",
-      "   3 True\t6154963928682082920\t<\t8400084588616768139\n",
-      "   4 True\t8400084588616768139\t<\t9120220090724413299\n",
-      "   5 True\t9120220090724413299\t<\t9151756736266036875\n",
-      "   6 True\t9151756736266036875\t<\t9219870040349415366\n",
-      "   7 True\t9219870040349415366\t<\t9219912301808499188\n",
-      "   8 True\t9219912301808499188\t<\t9220047051606457988\n",
-      "   9 True\t9220047051606457988\t<\t9220595618413826708\n",
-      "  10 True\t9220595618413826708\t<\t9221802750488883349\n",
-      "  11 True\t9221802750488883349\t<\t9222134096241943222\n",
-      "  12 True\t9222134096241943222\t<\t9222652648419452625\n",
-      "  13 True\t9222652648419452625\t<\t9223129854553599486\n",
-      "   1 True\t9223129854553599486\t=\t9223129854553599486\n",
-      "   2 False\t9223129854553599486\t>\t5762642295321472543\n",
-      "   2 True\t5762642295321472543\t<\t8381827548986812052\n",
-      "   3 True\t8381827548986812052\t<\t8675054773989703530\n",
-      "   4 True\t8675054773989703530\t<\t8879122707852610608\n",
-      "   5 True\t8879122707852610608\t<\t8919020166572751648\n",
-      "   2 False\t8919020166572751648\t>\t1242049990478453564\n",
-      "   3 False\t1242049990478453564\t>\t1181802167035023765\n",
-      "   4 False\t1181802167035023765\t>\t926804103856601100\n",
-      "   5 False\t926804103856601100\t>\t801970202198947459\n",
-      "   2 True\t801970202198947459\t<\t5453222146402353368\n",
-      "   3 True\t5453222146402353368\t<\t8655792029920229162\n",
-      "   1 True\t8655792029920229162\t=\t8655792029920229162\n",
-      "   1 True\t8655792029920229162\t=\t8655792029920229162\n",
-      "   2 False\t8655792029920229162\t>\t8017575975924310912\n",
-      "   3 False\t8017575975924310912\t>\t1730996840769423320\n",
-      "   4 False\t1730996840769423320\t>\t485908011663140400\n",
-      "   2 True\t485908011663140400\t<\t1764668411791547898\n",
-      "   3 True\t1764668411791547898\t<\t3652811481702040339\n",
-      "   2 False\t3652811481702040339\t>\t2877557603182823389\n",
-      "   2 True\t2877557603182823389\t<\t8766688980644190226\n",
-      "   3 True\t8766688980644190226\t<\t9057812606930168439\n",
-      "   4 True\t9057812606930168439\t<\t9117112839651089960\n",
-      "   5 True\t9117112839651089960\t<\t9125145666479870564\n",
-      "   6 True\t9125145666479870564\t<\t9137672025212385277\n",
-      "   2 False\t9137672025212385277\t>\t7999741097046117516\n",
-      "   3 False\t7999741097046117516\t>\t4691351279378526207\n",
-      "   1 False\t4691351279378526207\t=\t4691351279378526207\n",
-      "   2 True\t4691351279378526207\t<\t5676022773238490689\n",
-      "   3 True\t5676022773238490689\t<\t8494689823073192089\n",
-      "   4 True\t8494689823073192089\t<\t8810213368517483678\n",
-      "   1 True\t8810213368517483678\t=\t8810213368517483678\n",
-      "   1 True\t8810213368517483678\t=\t8810213368517483678\n",
-      "   2 False\t8810213368517483678\t>\t6381877546843180444\n",
-      "   3 False\t6381877546843180444\t>\t1431627906033349082\n",
-      "   4 False\t1431627906033349082\t>\t130304017333322182\n",
-      "   5 False\t130304017333322182\t>\t56333215495435512\n",
-      "   1 False\t56333215495435512\t=\t56333215495435512\n",
-      "   2 True\t56333215495435512\t<\t4430054927188696967\n",
-      "   3 True\t4430054927188696967\t<\t8209455865925111008\n",
-      "   4 True\t8209455865925111008\t<\t8780868071781127443\n",
-      "   5 True\t8780868071781127443\t<\t8939841419422737693\n",
-      "   2 False\t8939841419422737693\t>\t4048219149413272343\n",
-      "   3 False\t4048219149413272343\t>\t1535115625248719088\n",
-      "   2 True\t1535115625248719088\t<\t5887786545333142928\n",
-      "   3 True\t5887786545333142928\t<\t9092200863069107602\n",
-      "   4 True\t9092200863069107602\t<\t9167741344091086706\n",
-      "   2 False\t9167741344091086706\t>\t814500727211528990\n",
-      "   3 False\t814500727211528990\t>\t488578628814466691\n",
-      "   4 False\t488578628814466691\t>\t380314976343270321\n",
-      "   2 True\t380314976343270321\t<\t8088711879871283392\n",
-      "   2 False\t8088711879871283392\t>\t4057210051503839838\n",
-      "   3 False\t4057210051503839838\t>\t795073281330788454\n",
-      "   4 False\t795073281330788454\t>\t617513716063272216\n",
-      "   2 True\t617513716063272216\t<\t1270035234696660472\n",
-      "   2 False\t1270035234696660472\t>\t164258609415426562\n",
-      "   2 True\t164258609415426562\t<\t5509655152910848178\n",
-      "   3 True\t5509655152910848178\t<\t8531239291827244809\n",
-      "   4 True\t8531239291827244809\t<\t8563278911401072001\n",
-      "   2 False\t8563278911401072001\t>\t804359718704960977\n",
-      "   1 False\t804359718704960977\t=\t804359718704960977\n",
-      "   2 False\t804359718704960977\t>\t696384598842618391\n",
-      "   3 False\t696384598842618391\t>\t549192767319681018\n",
-      "   4 False\t549192767319681018\t>\t272136466720594679\n",
-      "   5 False\t272136466720594679\t>\t229233022437086176\n",
-      "   6 False\t229233022437086176\t>\t50645493221583572\n",
-      "   1 False\t50645493221583572\t=\t50645493221583572\n",
-      "   2 False\t50645493221583572\t>\t20060802063086636\n",
-      "   3 False\t20060802063086636\t>\t5579354968359178\n",
-      "   4 False\t5579354968359178\t>\t2046976165582942\n",
-      "   5 False\t2046976165582942\t>\t1180460767031460\n",
-      "   6 False\t1180460767031460\t>\t70981538509810\n",
-      "   2 True\t70981538509810\t<\t7423279488382269540\n",
-      "   3 True\t7423279488382269540\t<\t7553900456383902295\n",
-      "   4 True\t7553900456383902295\t<\t8137605193982793012\n",
-      "   5 True\t8137605193982793012\t<\t8758071106493585559\n",
-      "   6 True\t8758071106493585559\t<\t9073868852808217392\n",
-      "   7 True\t9073868852808217392\t<\t9169351070432663228\n",
-      "   8 True\t9169351070432663228\t<\t9190520724386467404\n",
-      "   2 False\t9190520724386467404\t>\t2476134463299567316\n",
-      "   3 False\t2476134463299567316\t>\t1157489096141798196\n",
-      "   4 False\t1157489096141798196\t>\t395358953438059290\n",
-      "   2 True\t395358953438059290\t<\t8687269120899469189\n",
-      "   3 True\t8687269120899469189\t<\t9064999845433292597\n",
-      "   4 True\t9064999845433292597\t<\t9210412537424497831\n",
-      "   2 False\t9210412537424497831\t>\t2955158526769274193\n",
-      "   3 False\t2955158526769274193\t>\t2284007837732785874\n",
-      "   4 False\t2284007837732785874\t>\t1877155545464836668\n",
-      "   2 True\t1877155545464836668\t<\t4801602253076094507\n",
-      "   3 True\t4801602253076094507\t<\t8766387196717466904\n",
-      "   4 True\t8766387196717466904\t<\t8944254056930818915\n",
-      "   5 True\t8944254056930818915\t<\t9083066814759123517\n",
-      "   6 True\t9083066814759123517\t<\t9211615284890611913\n",
-      "   7 True\t9211615284890611913\t<\t9214921965346527593\n",
-      "   2 False\t9214921965346527593\t>\t3432897522231829753\n",
-      "   1 False\t3432897522231829753\t=\t3432897522231829753\n",
-      "   2 False\t3432897522231829753\t>\t2991916652168249322\n",
-      "   1 False\t2991916652168249322\t=\t2991916652168249322\n",
-      "   2 True\t2991916652168249322\t<\t7815012142040153375\n",
-      "   3 True\t7815012142040153375\t<\t7854314945419247429\n",
-      "   1 True\t7854314945419247429\t=\t7854314945419247429\n",
-      "   2 False\t7854314945419247429\t>\t5740501699801128064\n",
-      "   3 False\t5740501699801128064\t>\t2328002470063452987\n",
-      "   1 False\t2328002470063452987\t=\t2328002470063452987\n",
-      "   2 False\t2328002470063452987\t>\t1385238969376860067\n",
-      "   3 False\t1385238969376860067\t>\t1158697745345026857\n",
-      "   4 False\t1158697745345026857\t>\t226206938052454065\n",
-      "   5 False\t226206938052454065\t>\t2964177246844424\n",
-      "   6 False\t2964177246844424\t>\t2747843667623065\n",
-      "   7 False\t2747843667623065\t>\t2531455212245700\n",
-      "   8 False\t2531455212245700\t>\t2210839781202916\n",
-      "   9 False\t2210839781202916\t>\t1295920674762128\n",
-      "   1 False\t1295920674762128\t=\t1295920674762128\n",
-      "   2 False\t1295920674762128\t>\t1158964744461428\n",
-      "   3 False\t1158964744461428\t>\t871892876214508\n",
-      "   4 False\t871892876214508\t>\t546491355408805\n",
-      "   5 False\t546491355408805\t>\t174479360835846\n",
-      "   1 False\t174479360835846\t=\t174479360835846\n",
-      "   2 True\t174479360835846\t<\t3972670762718049492\n",
-      "   3 True\t3972670762718049492\t<\t6400558195697224990\n",
-      "   2 False\t6400558195697224990\t>\t5580228668664444514\n",
-      "   3 False\t5580228668664444514\t>\t1436278185671017908\n",
-      "   4 False\t1436278185671017908\t>\t1048349014983739754\n",
-      "   2 True\t1048349014983739754\t<\t4703120597754262291\n",
-      "   3 True\t4703120597754262291\t<\t8026054238789548913\n",
-      "   1 True\t8026054238789548913\t=\t8026054238789548913\n",
-      "   2 False\t8026054238789548913\t>\t673520664473194729\n",
-      "   3 False\t673520664473194729\t>\t579870878130197592\n",
-      "   2 True\t579870878130197592\t<\t6777778286008756980\n",
-      "   2 False\t6777778286008756980\t>\t2454575810787210549\n",
-      "   3 False\t2454575810787210549\t>\t464099850497998029\n",
-      "   4 False\t464099850497998029\t>\t86375614034975747\n",
-      "   5 False\t86375614034975747\t>\t9325452591001002\n",
-      "   6 False\t9325452591001002\t>\t444842596689806\n",
-      "   7 False\t444842596689806\t>\t402373282331527\n",
-      "   8 False\t402373282331527\t>\t207533654057632\n",
-      "   9 False\t207533654057632\t>\t30021703080829\n",
-      "  10 False\t30021703080829\t>\t27636419646316\n",
-      "  11 False\t27636419646316\t>\t2269824269170\n",
-      "   2 True\t2269824269170\t<\t8899772772360825840\n",
-      "   3 True\t8899772772360825840\t<\t8912837087297755884\n",
-      "   2 False\t8912837087297755884\t>\t450416249687734558\n",
-      "   3 False\t450416249687734558\t>\t303203005592911427\n",
-      "   4 False\t303203005592911427\t>\t154706075283042202\n",
-      "   2 True\t154706075283042202\t<\t8376720842542340386\n",
-      "   3 True\t8376720842542340386\t<\t9041154695866925102\n",
-      "   4 True\t9041154695866925102\t<\t9140132953402747832\n",
-      "   2 False\t9140132953402747832\t>\t5358214103953931275\n",
-      "   3 False\t5358214103953931275\t>\t196950596619282921\n",
-      "   4 False\t196950596619282921\t>\t178701115432065392\n",
-      "   2 True\t178701115432065392\t<\t3241729858323016579\n",
-      "   3 True\t3241729858323016579\t<\t5916770923947509313\n",
-      "   2 False\t5916770923947509313\t>\t5682352026274520659\n",
-      "   3 False\t5682352026274520659\t>\t2400649457447739583\n",
-      "   4 False\t2400649457447739583\t>\t175742410904208622\n",
-      "   5 False\t175742410904208622\t>\t123526512211302185\n",
-      "   6 False\t123526512211302185\t>\t36030118652639768\n",
-      "   2 True\t36030118652639768\t<\t2902034415505502455\n",
-      "   2 False\t2902034415505502455\t>\t2261122405896213796\n",
-      "   3 False\t2261122405896213796\t>\t1558052212002128074\n",
-      "   4 False\t1558052212002128074\t>\t1484174003163464316\n",
-      "   5 False\t1484174003163464316\t>\t9844655280739312\n",
-      "   2 True\t9844655280739312\t<\t7586444445052982600\n",
-      "   2 False\t7586444445052982600\t>\t4884410698404887462\n",
-      "   3 False\t4884410698404887462\t>\t2556513692695640031\n",
-      "   2 True\t2556513692695640031\t<\t8460794848304952291\n",
-      "   3 True\t8460794848304952291\t<\t9190487793376122621\n",
-      "   4 True\t9190487793376122621\t<\t9212273567191007727\n",
-      "   5 True\t9212273567191007727\t<\t9221876548824949115\n",
-      "   2 False\t9221876548824949115\t>\t8152307375889609523\n",
-      "   3 False\t8152307375889609523\t>\t6686160758255327282\n",
-      "   4 False\t6686160758255327282\t>\t2775667902303811064\n",
-      "   5 False\t2775667902303811064\t>\t2292591929850645337\n",
-      "   6 False\t2292591929850645337\t>\t881516660401809205\n",
-      "   7 False\t881516660401809205\t>\t800547129490601990\n",
-      "   8 False\t800547129490601990\t>\t528281325191623563\n",
-      "   2 True\t528281325191623563\t<\t4274809311777793394\n",
-      "   1 True\t4274809311777793394\t=\t4274809311777793394\n",
-      "   2 True\t4274809311777793394\t<\t5835317961365960111\n",
-      "   2 False\t5835317961365960111\t>\t5598932798346602038\n",
-      "   3 False\t5598932798346602038\t>\t1437026864748015415\n",
-      "   4 False\t1437026864748015415\t>\t332418847644765120\n",
-      "   2 True\t332418847644765120\t<\t7688965980042537984\n",
-      "   3 True\t7688965980042537984\t<\t8821222689152110065\n",
-      "   4 True\t8821222689152110065\t<\t9137250394664739995\n",
-      "   5 True\t9137250394664739995\t<\t9158111863026625845\n",
-      "   6 True\t9158111863026625845\t<\t9188707294425897635\n",
-      "   2 False\t9188707294425897635\t>\t4638360893172639607\n",
-      "   2 True\t4638360893172639607\t<\t8206713429254850869\n",
-      "   3 True\t8206713429254850869\t<\t8751413858100425779\n",
-      "   1 True\t8751413858100425779\t=\t8751413858100425779\n",
-      "   2 True\t8751413858100425779\t<\t9032537292054519688\n",
-      "   3 True\t9032537292054519688\t<\t9193375078403919544\n",
-      "   4 True\t9193375078403919544\t<\t9205385095407215777\n",
-      "   5 True\t9205385095407215777\t<\t9217736785619951322\n",
-      "   2 False\t9217736785619951322\t>\t1396872040205609364\n",
-      "   3 False\t1396872040205609364\t>\t1384255271887531694\n",
-      "   2 True\t1384255271887531694\t<\t3680580291828154224\n",
-      "   3 True\t3680580291828154224\t<\t5375871133399555324\n",
-      "   2 False\t5375871133399555324\t>\t2669881505236192096\n",
-      "   3 False\t2669881505236192096\t>\t2183088486299251777\n",
-      "   4 False\t2183088486299251777\t>\t1603779258255635971\n",
-      "   2 True\t1603779258255635971\t<\t8533735339089463658\n",
-      "   3 True\t8533735339089463658\t<\t8784263516876729339\n",
-      "   4 True\t8784263516876729339\t<\t9059607234437849972\n",
-      "   2 False\t9059607234437849972\t>\t5518228714391892211\n",
-      "   3 False\t5518228714391892211\t>\t3559614078053701201\n",
-      "   2 True\t3559614078053701201\t<\t8671757186752275585\n",
-      "   3 True\t8671757186752275585\t<\t9001365929134024972\n",
-      "   2 False\t9001365929134024972\t>\t1053050878560715854\n",
-      "   2 True\t1053050878560715854\t<\t4042671269329035247\n",
-      "   3 True\t4042671269329035247\t<\t4690324527798746968\n",
-      "   4 True\t4690324527798746968\t<\t5583094865510150979\n",
-      "   2 False\t5583094865510150979\t>\t1799502075013704952\n",
-      "   3 False\t1799502075013704952\t>\t1272878451691759211\n",
-      "   4 False\t1272878451691759211\t>\t387821292589172927\n",
-      "   5 False\t387821292589172927\t>\t114873140254324235\n",
-      "   6 False\t114873140254324235\t>\t87945814723768112\n",
-      "   2 True\t87945814723768112\t<\t6189079643830171438\n",
-      "   3 True\t6189079643830171438\t<\t7513865727330692632\n",
-      "   4 True\t7513865727330692632\t<\t8591921483022252938\n",
-      "   2 False\t8591921483022252938\t>\t5012516019154788400\n",
-      "   2 True\t5012516019154788400\t<\t5468060002063220015\n",
-      "   3 True\t5468060002063220015\t<\t8222527330567573842\n",
-      "   4 True\t8222527330567573842\t<\t8485062517433027710\n",
-      "   2 False\t8485062517433027710\t>\t5042571156673428537\n",
-      "   3 False\t5042571156673428537\t>\t3898883713917854932\n",
-      "   4 False\t3898883713917854932\t>\t3767137523435845612\n",
-      "   2 True\t3767137523435845612\t<\t4395081157984597398\n",
-      "   2 False\t4395081157984597398\t>\t3009016655452280905\n",
-      "   2 True\t3009016655452280905\t<\t8010826650353177097\n",
-      "   3 True\t8010826650353177097\t<\t8440194535303514421\n",
-      "   4 True\t8440194535303514421\t<\t8750624539648710270\n",
-      "   5 True\t8750624539648710270\t<\t8936789412607519185\n",
-      "   6 True\t8936789412607519185\t<\t9042022954581926604\n",
-      "   7 True\t9042022954581926604\t<\t9045248600715999360\n",
-      "   8 True\t9045248600715999360\t<\t9085281201542235212\n",
-      "   9 True\t9085281201542235212\t<\t9116996674730542418\n",
-      "   2 False\t9116996674730542418\t>\t3827772213354452514\n",
-      "   3 False\t3827772213354452514\t>\t2831754991672285081\n",
-      "   2 True\t2831754991672285081\t<\t6183049010000522077\n",
-      "   3 True\t6183049010000522077\t<\t9220742299081133363\n",
-      "   4 True\t9220742299081133363\t<\t9222137235553466676\n",
-      "   2 False\t9222137235553466676\t>\t7134142209854581086\n",
-      "   3 False\t7134142209854581086\t>\t6501686392525027096\n",
-      "   2 True\t6501686392525027096\t<\t8281148877637418017\n",
-      "   2 False\t8281148877637418017\t>\t5802553717179962640\n",
-      "   3 False\t5802553717179962640\t>\t35868286702407462\n",
-      "   4 False\t35868286702407462\t>\t28176589870200811\n",
-      "   2 True\t28176589870200811\t<\t2954903621150935003\n",
-      "   3 True\t2954903621150935003\t<\t5627452942024355079\n",
-      "   4 True\t5627452942024355079\t<\t7139633311635214493\n",
-      "   5 True\t7139633311635214493\t<\t7333412169791693028\n",
-      "   2 False\t7333412169791693028\t>\t4256592032869608580\n",
-      "   2 True\t4256592032869608580\t<\t6531457435635058142\n",
-      "   3 True\t6531457435635058142\t<\t7964166993781526185\n",
-      "   4 True\t7964166993781526185\t<\t8861385508761737574\n",
-      "   2 False\t8861385508761737574\t>\t5917044412262459350\n",
-      "   3 False\t5917044412262459350\t>\t3465741258922059561\n",
-      "   4 False\t3465741258922059561\t>\t1248444341472090487\n",
-      "   2 True\t1248444341472090487\t<\t2568933667768772718\n",
-      "   2 False\t2568933667768772718\t>\t1901895316165703619\n",
-      "   2 True\t1901895316165703619\t<\t7268869748210130527\n",
-      "   1 True\t7268869748210130527\t=\t7268869748210130527\n",
-      "   2 False\t7268869748210130527\t>\t212670776540854754\n",
-      "   2 True\t212670776540854754\t<\t4896532613975426715\n",
-      "   1 True\t4896532613975426715\t=\t4896532613975426715\n",
-      "   2 False\t4896532613975426715\t>\t2439418374265353231\n",
-      "   3 False\t2439418374265353231\t>\t1207126873874246138\n",
-      "   4 False\t1207126873874246138\t>\t131228673009734506\n",
-      "   5 False\t131228673009734506\t>\t124764089961101916\n",
-      "   6 False\t124764089961101916\t>\t28681225119558891\n",
-      "   7 False\t28681225119558891\t>\t656560480775376\n",
-      "   8 False\t656560480775376\t>\t547514468847121\n",
-      "   9 False\t547514468847121\t>\t458330117916243\n",
-      "  10 False\t458330117916243\t>\t364337877147946\n",
-      "   2 True\t364337877147946\t<\t5932753040519931870\n",
-      "   1 True\t5932753040519931870\t=\t5932753040519931870\n",
-      "   2 True\t5932753040519931870\t<\t7266275912415693867\n",
-      "   3 True\t7266275912415693867\t<\t9220881596873838111\n",
-      "   4 True\t9220881596873838111\t<\t9222447565198692659\n",
-      "   5 True\t9222447565198692659\t<\t9222762149779492041\n",
-      "   6 True\t9222762149779492041\t<\t9223222734046122751\n",
-      "   7 True\t9223222734046122751\t<\t9223254390869302598\n",
-      "   8 True\t9223254390869302598\t<\t9223268085920737698\n",
-      "   9 True\t9223268085920737698\t<\t9223306904886417875\n",
-      "  10 True\t9223306904886417875\t<\t9223310529460237275\n",
-      "  11 True\t9223310529460237275\t<\t9223324019748237786\n",
-      "   2 False\t9223324019748237786\t>\t8408905669165789860\n",
-      "   3 False\t8408905669165789860\t>\t5601232201584120314\n",
-      "   4 False\t5601232201584120314\t>\t3833345682771242716\n",
-      "   5 False\t3833345682771242716\t>\t33332896526837221\n",
-      "   2 True\t33332896526837221\t<\t5444206277213335891\n",
-      "   3 True\t5444206277213335891\t<\t8461029198567271422\n",
-      "   4 True\t8461029198567271422\t<\t8822738814949174576\n",
-      "   5 True\t8822738814949174576\t<\t8871739258157043596\n",
-      "   6 True\t8871739258157043596\t<\t9134469003814645394\n",
-      "   7 True\t9134469003814645394\t<\t9221933191902158883\n",
-      "   2 False\t9221933191902158883\t>\t5888030269470744119\n",
-      "   2 True\t5888030269470744119\t<\t6700224052444918475\n",
-      "   3 True\t6700224052444918475\t<\t6952141388324070535\n",
-      "   4 True\t6952141388324070535\t<\t9111902789698675068\n",
-      "   2 False\t9111902789698675068\t>\t5518118915180184417\n",
-      "   2 True\t5518118915180184417\t<\t7446126117862234526\n",
-      "   2 False\t7446126117862234526\t>\t6771552065473913894\n",
-      "   3 False\t6771552065473913894\t>\t3960869926422561639\n",
-      "   4 False\t3960869926422561639\t>\t2180981560404348205\n",
-      "   5 False\t2180981560404348205\t>\t2175949369322666485\n",
-      "   6 False\t2175949369322666485\t>\t2011188914832982237\n",
-      "   7 False\t2011188914832982237\t>\t405897900598501888\n",
-      "   2 True\t405897900598501888\t<\t6410191090135645867\n",
-      "   3 True\t6410191090135645867\t<\t7177725168566214047\n",
-      "   4 True\t7177725168566214047\t<\t7432923843570136272\n",
-      "   2 False\t7432923843570136272\t>\t7244031139031585830\n",
-      "   3 False\t7244031139031585830\t>\t6103368113916979714\n",
-      "   2 True\t6103368113916979714\t<\t6509143653858380860\n",
-      "   3 True\t6509143653858380860\t<\t8141335296334647346\n",
-      "   2 False\t8141335296334647346\t>\t1431483358017529898\n",
-      "   3 False\t1431483358017529898\t>\t1062917296519332019\n",
-      "   2 True\t1062917296519332019\t<\t7017723066107249664\n",
-      "   3 True\t7017723066107249664\t<\t9214332439647104530\n",
-      "   2 False\t9214332439647104530\t>\t4217805563091407173\n",
-      "   2 True\t4217805563091407173\t<\t8630700766505277791\n",
-      "   3 True\t8630700766505277791\t<\t8914574074972689444\n",
-      "   4 True\t8914574074972689444\t<\t9056969168984188036\n",
-      "   5 True\t9056969168984188036\t<\t9071767136164555340\n",
-      "   6 True\t9071767136164555340\t<\t9221299842995341837\n",
-      "   1 True\t9221299842995341837\t=\t9221299842995341837\n",
-      "   2 True\t9221299842995341837\t<\t9222336852328319231\n",
-      "   3 True\t9222336852328319231\t<\t9223248814257631348\n",
-      "   4 True\t9223248814257631348\t<\t9223285244642496984\n",
-      "   5 True\t9223285244642496984\t<\t9223325500444543762\n",
-      "   6 True\t9223325500444543762\t<\t9223366193789392571\n",
-      "   7 True\t9223366193789392571\t<\t9223371134848029215\n",
-      "   2 False\t9223371134848029215\t>\t3583111949633688678\n",
-      "   2 True\t3583111949633688678\t<\t9101711590410870686\n",
-      "   2 False\t9101711590410870686\t>\t6068600398064517993\n",
-      "   2 True\t6068600398064517993\t<\t6844439678777043361\n",
-      "   3 True\t6844439678777043361\t<\t8227824927165541134\n",
-      "   4 True\t8227824927165541134\t<\t8299645736404309728\n",
-      "   2 False\t8299645736404309728\t>\t7155369488384352991\n",
-      "   2 True\t7155369488384352991\t<\t8998024488456215669\n",
-      "   2 False\t8998024488456215669\t>\t2765885476517671550\n",
-      "   3 False\t2765885476517671550\t>\t1693541171053266055\n",
-      "   4 False\t1693541171053266055\t>\t1071973302539965745\n",
-      "   5 False\t1071973302539965745\t>\t759281929909301917\n",
-      "   6 False\t759281929909301917\t>\t706763345036705666\n",
-      "   7 False\t706763345036705666\t>\t521420673315978210\n",
-      "   2 True\t521420673315978210\t<\t7842290837556537413\n",
-      "   3 True\t7842290837556537413\t<\t7873350921503552467\n",
-      "   2 False\t7873350921503552467\t>\t2817064877316702699\n",
-      "   3 False\t2817064877316702699\t>\t315062129897866641\n",
-      "   2 True\t315062129897866641\t<\t6739967174793966268\n",
-      "   3 True\t6739967174793966268\t<\t6881386341146752786\n",
-      "   4 True\t6881386341146752786\t<\t7773554305335547328\n",
-      "   5 True\t7773554305335547328\t<\t8922801450661864100\n",
-      "   6 True\t8922801450661864100\t<\t9150156317922677994\n",
-      "   7 True\t9150156317922677994\t<\t9210970056457420503\n",
-      "   8 True\t9210970056457420503\t<\t9219563534398461322\n",
-      "   2 False\t9219563534398461322\t>\t216450975110641331\n",
-      "   2 True\t216450975110641331\t<\t8943728701039219460\n",
-      "   2 False\t8943728701039219460\t>\t6488499684511168233\n",
-      "   3 False\t6488499684511168233\t>\t5773489966945293638\n",
-      "   4 False\t5773489966945293638\t>\t3933616155759247919\n",
-      "   5 False\t3933616155759247919\t>\t2272875701815007230\n",
-      "   6 False\t2272875701815007230\t>\t1919808469561353292\n",
-      "   7 False\t1919808469561353292\t>\t895323147938686263\n",
-      "   8 False\t895323147938686263\t>\t138757799876705609\n",
-      "   2 True\t138757799876705609\t<\t3106041763976000768\n",
-      "   3 True\t3106041763976000768\t<\t8570940415777567922\n",
-      "   4 True\t8570940415777567922\t<\t8645292219441289325\n",
-      "   2 False\t8645292219441289325\t>\t5474461451105798113\n",
-      "   3 False\t5474461451105798113\t>\t3744196222069088793\n",
-      "   4 False\t3744196222069088793\t>\t1695044020705917205\n",
-      "   5 False\t1695044020705917205\t>\t1275255140933906005\n",
-      "   6 False\t1275255140933906005\t>\t19589509940158196\n",
-      "   7 False\t19589509940158196\t>\t11824485199569632\n",
-      "   8 False\t11824485199569632\t>\t10365465195500702\n",
-      "   9 False\t10365465195500702\t>\t2615781775230908\n",
-      "   1 False\t2615781775230908\t=\t2615781775230908\n",
-      "   2 True\t2615781775230908\t<\t8333463055836570383\n",
-      "   3 True\t8333463055836570383\t<\t8551632412511244518\n",
-      "   4 True\t8551632412511244518\t<\t8589546757230830839\n",
-      "   5 True\t8589546757230830839\t<\t9055212935736544304\n",
-      "   6 True\t9055212935736544304\t<\t9080560417123327681\n",
-      "   7 True\t9080560417123327681\t<\t9185668271813205091\n",
-      "   8 True\t9185668271813205091\t<\t9219590206407327416\n",
-      "   9 True\t9219590206407327416\t<\t9222205098258120233\n",
-      "   1 True\t9222205098258120233\t=\t9222205098258120233\n",
-      "   1 True\t9222205098258120233\t=\t9222205098258120233\n",
-      "   2 True\t9222205098258120233\t<\t9222769749420682547\n",
-      "   2 False\t9222769749420682547\t>\t3143967006078668765\n",
-      "   2 True\t3143967006078668765\t<\t5030817217205323965\n",
-      "   3 True\t5030817217205323965\t<\t7642670822724058953\n",
-      "   4 True\t7642670822724058953\t<\t8362253819609440780\n",
-      "   5 True\t8362253819609440780\t<\t8588332189645830424\n",
-      "   2 False\t8588332189645830424\t>\t3426344612599171925\n",
-      "   2 True\t3426344612599171925\t<\t4605770575367037272\n",
-      "   2 False\t4605770575367037272\t>\t3596787813849928309\n",
-      "   3 False\t3596787813849928309\t>\t2639591571383412918\n",
-      "   4 False\t2639591571383412918\t>\t2204428169340104783\n",
-      "   5 False\t2204428169340104783\t>\t701745395427520478\n",
-      "   6 False\t701745395427520478\t>\t35869101286660638\n",
-      "   1 False\t35869101286660638\t=\t35869101286660638\n",
-      "   2 False\t35869101286660638\t>\t10169355043213246\n",
-      "   3 False\t10169355043213246\t>\t6861177717891908\n",
-      "   2 True\t6861177717891908\t<\t4769798814356703074\n",
-      "   2 False\t4769798814356703074\t>\t1423142528823035298\n",
-      "   3 False\t1423142528823035298\t>\t520281810410553454\n",
-      "   2 True\t520281810410553454\t<\t6151578903765923597\n",
-      "   2 False\t6151578903765923597\t>\t4551940346424563744\n",
-      "   3 False\t4551940346424563744\t>\t1773248338647321372\n",
-      "   4 False\t1773248338647321372\t>\t841673043520110731\n",
-      "   5 False\t841673043520110731\t>\t466090994686826557\n",
-      "   6 False\t466090994686826557\t>\t196664601429030186\n",
-      "   2 True\t196664601429030186\t<\t8278271801907328678\n",
-      "   3 True\t8278271801907328678\t<\t8923374502367673985\n",
-      "   1 True\t8923374502367673985\t=\t8923374502367673985\n",
-      "   2 True\t8923374502367673985\t<\t8924502013818046843\n",
-      "   3 True\t8924502013818046843\t<\t9024660125393880850\n",
-      "   4 True\t9024660125393880850\t<\t9075355130884133952\n",
-      "   1 True\t9075355130884133952\t=\t9075355130884133952\n",
-      "   2 True\t9075355130884133952\t<\t9196748814280196808\n",
-      "   1 True\t9196748814280196808\t=\t9196748814280196808\n",
-      "   2 True\t9196748814280196808\t<\t9216589607763353181\n",
-      "   3 True\t9216589607763353181\t<\t9217641639962924473\n",
-      "   2 False\t9217641639962924473\t>\t9215940420799132296\n",
-      "   2 True\t9215940420799132296\t<\t9218163761128661463\n",
-      "   3 True\t9218163761128661463\t<\t9218790112447337767\n",
-      "   4 True\t9218790112447337767\t<\t9220424154534924629\n",
-      "   5 True\t9220424154534924629\t<\t9222567452750429646\n",
-      "   6 True\t9222567452750429646\t<\t9222694166723274107\n",
-      "   7 True\t9222694166723274107\t<\t9223086221826088649\n",
-      "   8 True\t9223086221826088649\t<\t9223341965662598676\n",
-      "   9 True\t9223341965662598676\t<\t9223361271221670726\n",
-      "  10 True\t9223361271221670726\t<\t9223363001960207190\n",
-      "  11 True\t9223363001960207190\t<\t9223364045791937445\n",
-      "  12 True\t9223364045791937445\t<\t9223371904378326459\n",
-      "   2 False\t9223371904378326459\t>\t6169353868456984907\n",
-      "   3 False\t6169353868456984907\t>\t825255794216814267\n",
-      "   4 False\t825255794216814267\t>\t509194698394405682\n",
-      "   2 True\t509194698394405682\t<\t6245246520841406780\n",
-      "   3 True\t6245246520841406780\t<\t8643010003061566560\n",
-      "   1 True\t8643010003061566560\t=\t8643010003061566560\n",
-      "   2 True\t8643010003061566560\t<\t9199113077829502145\n",
-      "   1 True\t9199113077829502145\t=\t9199113077829502145\n",
-      "   2 True\t9199113077829502145\t<\t9206484903135820218\n",
-      "   3 True\t9206484903135820218\t<\t9210655941273180165\n",
-      "   4 True\t9210655941273180165\t<\t9221616942346589042\n",
-      "   5 True\t9221616942346589042\t<\t9223119357016189357\n",
-      "   6 True\t9223119357016189357\t<\t9223235683567970464\n",
-      "   2 False\t9223235683567970464\t>\t5756529217244815315\n",
-      "   3 False\t5756529217244815315\t>\t5048261808660848774\n",
-      "   2 True\t5048261808660848774\t<\t5182054458165701858\n",
-      "   3 True\t5182054458165701858\t<\t8663826369199090837\n",
-      "   4 True\t8663826369199090837\t<\t9171035022755206362\n",
-      "   5 True\t9171035022755206362\t<\t9176840643123847103\n",
-      "   2 False\t9176840643123847103\t>\t6026654219227388896\n",
-      "   1 False\t6026654219227388896\t=\t6026654219227388896\n",
-      "   2 False\t6026654219227388896\t>\t5308155307959987461\n",
-      "   2 True\t5308155307959987461\t<\t6568314469966503988\n",
-      "   3 True\t6568314469966503988\t<\t9025439202468802079\n",
-      "   4 True\t9025439202468802079\t<\t9036923449254455268\n",
-      "   5 True\t9036923449254455268\t<\t9088861758165883708\n",
-      "   2 False\t9088861758165883708\t>\t941158340184234645\n",
-      "   3 False\t941158340184234645\t>\t675799807260739219\n",
-      "   4 False\t675799807260739219\t>\t452308083271503355\n",
-      "   5 False\t452308083271503355\t>\t286153732030941407\n",
-      "   2 True\t286153732030941407\t<\t1320841131300534790\n",
-      "   3 True\t1320841131300534790\t<\t2204627210973861073\n",
-      "   4 True\t2204627210973861073\t<\t8365736289963140127\n",
-      "   2 False\t8365736289963140127\t>\t2161678188326865008\n",
-      "   3 False\t2161678188326865008\t>\t262478851700520013\n",
-      "   2 True\t262478851700520013\t<\t1911229784303189619\n",
-      "   3 True\t1911229784303189619\t<\t9175834026389228888\n",
-      "   4 True\t9175834026389228888\t<\t9199534084227105016\n",
-      "   5 True\t9199534084227105016\t<\t9212138768734111007\n",
-      "   6 True\t9212138768734111007\t<\t9221179046492244667\n",
-      "   7 True\t9221179046492244667\t<\t9221579574768686093\n",
-      "   2 False\t9221579574768686093\t>\t2590052625377136380\n",
-      "   3 False\t2590052625377136380\t>\t144421074185303966\n",
-      "   4 False\t144421074185303966\t>\t28001701707306899\n",
-      "   2 True\t28001701707306899\t<\t3183802462776553434\n",
-      "   1 True\t3183802462776553434\t=\t3183802462776553434\n",
-      "   1 True\t3183802462776553434\t=\t3183802462776553434\n",
-      "   2 True\t3183802462776553434\t<\t6242375516447527161\n",
-      "   3 True\t6242375516447527161\t<\t6986317308312664647\n",
-      "   4 True\t6986317308312664647\t<\t7449553719542991494\n",
-      "   5 True\t7449553719542991494\t<\t8346153077251328759\n",
-      "   6 True\t8346153077251328759\t<\t8613788225895044929\n",
-      "   7 True\t8613788225895044929\t<\t8735612551703568348\n",
-      "   2 False\t8735612551703568348\t>\t7746810563185843073\n",
-      "   3 False\t7746810563185843073\t>\t3021762567206806038\n",
-      "   2 True\t3021762567206806038\t<\t4441809348849542452\n",
-      "   2 False\t4441809348849542452\t>\t3122239140060682898\n",
-      "   3 False\t3122239140060682898\t>\t2694959686484208488\n",
-      "   4 False\t2694959686484208488\t>\t1750680229651520562\n",
-      "   2 True\t1750680229651520562\t<\t3517788520075642378\n",
-      "   2 False\t3517788520075642378\t>\t1949244934917062221\n",
-      "   3 False\t1949244934917062221\t>\t1788944028739279703\n",
-      "   4 False\t1788944028739279703\t>\t23793243521778513\n",
-      "   5 False\t23793243521778513\t>\t10510300291686604\n",
-      "   6 False\t10510300291686604\t>\t3411169102207862\n",
-      "   2 True\t3411169102207862\t<\t3021892724169172435\n",
-      "   2 False\t3021892724169172435\t>\t668489648302392146\n",
-      "   2 True\t668489648302392146\t<\t8982663933160167427\n",
-      "   3 True\t8982663933160167427\t<\t9098747977541965165\n",
-      "   2 False\t9098747977541965165\t>\t4157627316226709191\n",
-      "   2 True\t4157627316226709191\t<\t7854025350459848614\n",
-      "   3 True\t7854025350459848614\t<\t8859262855741692511\n",
-      "   1 True\t8859262855741692511\t=\t8859262855741692511\n",
-      "   2 True\t8859262855741692511\t<\t8863547007085776079\n",
-      "   3 True\t8863547007085776079\t<\t8903032825975348735\n",
-      "   4 True\t8903032825975348735\t<\t9053688928811008605\n",
-      "   5 True\t9053688928811008605\t<\t9099292896119725441\n",
-      "   6 True\t9099292896119725441\t<\t9142657336443300195\n",
-      "   7 True\t9142657336443300195\t<\t9153956644759108048\n",
-      "   8 True\t9153956644759108048\t<\t9167393056256708402\n",
-      "   9 True\t9167393056256708402\t<\t9220019670289192260\n",
-      "   2 False\t9220019670289192260\t>\t1626794662707797958\n",
-      "   3 False\t1626794662707797958\t>\t279198499416966871\n",
-      "   2 True\t279198499416966871\t<\t283559620601520251\n",
-      "   3 True\t283559620601520251\t<\t2741863923223292153\n",
-      "   2 False\t2741863923223292153\t>\t1582156169040109860\n",
-      "   3 False\t1582156169040109860\t>\t1461607016016101251\n",
-      "   2 True\t1461607016016101251\t<\t5552837655980728867\n",
-      "   2 False\t5552837655980728867\t>\t4315515270651327918\n",
-      "   3 False\t4315515270651327918\t>\t2892451012340254302\n",
-      "   4 False\t2892451012340254302\t>\t755335270445749502\n",
-      "   2 True\t755335270445749502\t<\t5628298506334950979\n",
-      "   3 True\t5628298506334950979\t<\t6783756323458658065\n",
-      "   4 True\t6783756323458658065\t<\t9112235664651741204\n",
-      "   5 True\t9112235664651741204\t<\t9115805969378686939\n",
-      "   6 True\t9115805969378686939\t<\t9148030054785018766\n",
-      "   7 True\t9148030054785018766\t<\t9152228046553712428\n",
-      "   2 False\t9152228046553712428\t>\t5224081738974226393\n",
-      "   3 False\t5224081738974226393\t>\t247069695340919806\n",
-      "   4 False\t247069695340919806\t>\t61891778602067799\n",
-      "   5 False\t61891778602067799\t>\t30258998438226614\n",
-      "   6 False\t30258998438226614\t>\t21778094296812669\n",
-      "   1 False\t21778094296812669\t=\t21778094296812669\n",
-      "   2 True\t21778094296812669\t<\t1434010756579531550\n",
-      "   3 True\t1434010756579531550\t<\t6405641542523648819\n",
-      "   4 True\t6405641542523648819\t<\t8274998068585189039\n",
-      "   5 True\t8274998068585189039\t<\t8495926600777476888\n",
-      "   2 False\t8495926600777476888\t>\t5267452335896286041\n",
-      "   3 False\t5267452335896286041\t>\t1143981105407132614\n",
-      "   4 False\t1143981105407132614\t>\t207446845776959447\n",
-      "   1 False\t207446845776959447\t=\t207446845776959447\n",
-      "   2 False\t207446845776959447\t>\t164579447190851879\n",
-      "   1 False\t164579447190851879\t=\t164579447190851879\n",
-      "   2 False\t164579447190851879\t>\t32486387309411523\n",
-      "   3 False\t32486387309411523\t>\t13894075359026042\n",
-      "   2 True\t13894075359026042\t<\t7719639698792635724\n",
-      "   3 True\t7719639698792635724\t<\t8004003654833838946\n",
-      "   4 True\t8004003654833838946\t<\t8167120008086934127\n",
-      "   5 True\t8167120008086934127\t<\t8450365881819157443\n",
-      "   2 False\t8450365881819157443\t>\t3835319971813597794\n",
-      "   3 False\t3835319971813597794\t>\t2321999663498919902\n",
-      "   2 True\t2321999663498919902\t<\t4618703997758164542\n",
-      "   1 True\t4618703997758164542\t=\t4618703997758164542\n",
-      "   2 True\t4618703997758164542\t<\t5768721043267119738\n",
-      "   2 False\t5768721043267119738\t>\t2864191838761387400\n",
-      "   3 False\t2864191838761387400\t>\t614056441938795753\n",
-      "   4 False\t614056441938795753\t>\t549514416417020669\n",
-      "   5 False\t549514416417020669\t>\t344132409072324292\n",
-      "   6 False\t344132409072324292\t>\t90163848076137413\n",
-      "   7 False\t90163848076137413\t>\t83749453607601594\n",
-      "   8 False\t83749453607601594\t>\t9371916597721404\n",
-      "   9 False\t9371916597721404\t>\t7697508354146446\n",
-      "  10 False\t7697508354146446\t>\t6965791722774068\n",
-      "  11 False\t6965791722774068\t>\t3140052946179078\n",
-      "  12 False\t3140052946179078\t>\t1958029204193171\n",
-      "  13 False\t1958029204193171\t>\t914294962837594\n",
-      "  14 False\t914294962837594\t>\t56352152293754\n",
-      "   2 True\t56352152293754\t<\t1716210618833363473\n",
-      "   3 True\t1716210618833363473\t<\t7727789149364087352\n",
-      "   4 True\t7727789149364087352\t<\t8908325379731376732\n",
-      "   5 True\t8908325379731376732\t<\t9108125029052974700\n",
-      "   1 True\t9108125029052974700\t=\t9108125029052974700\n",
-      "   2 False\t9108125029052974700\t>\t50617325489176110\n",
-      "   3 False\t50617325489176110\t>\t42768601287412077\n",
-      "   4 False\t42768601287412077\t>\t29580749888953043\n",
-      "   2 True\t29580749888953043\t<\t2211883254572416272\n",
-      "   2 False\t2211883254572416272\t>\t1349405982181848474\n",
-      "   2 True\t1349405982181848474\t<\t3495973625176680182\n",
-      "   3 True\t3495973625176680182\t<\t4623349693544052600\n",
-      "   2 False\t4623349693544052600\t>\t457314242325344913\n",
-      "   3 False\t457314242325344913\t>\t409219681114559641\n",
-      "   2 True\t409219681114559641\t<\t7294582619795030717\n",
-      "   3 True\t7294582619795030717\t<\t7629570950556804798\n",
-      "   2 False\t7629570950556804798\t>\t2772111031165052367\n",
-      "   3 False\t2772111031165052367\t>\t977104831570257623\n",
-      "   4 False\t977104831570257623\t>\t61833462284554442\n",
-      "   5 False\t61833462284554442\t>\t30713063976355274\n",
-      "   2 True\t30713063976355274\t<\t9044781685830594938\n",
-      "   3 True\t9044781685830594938\t<\t9164952129798448240\n",
-      "   2 False\t9164952129798448240\t>\t4014222620114247381\n",
-      "   2 True\t4014222620114247381\t<\t8091953843730723865\n",
-      "   3 True\t8091953843730723865\t<\t9035216882758917971\n",
-      "   4 True\t9035216882758917971\t<\t9094338344069248715\n",
-      "   5 True\t9094338344069248715\t<\t9146522790421214309\n",
-      "   2 False\t9146522790421214309\t>\t793346214832559902\n",
-      "   3 False\t793346214832559902\t>\t719411342162847367\n",
-      "   4 False\t719411342162847367\t>\t37629417978338085\n",
-      "   5 False\t37629417978338085\t>\t34809695514796396\n",
-      "   6 False\t34809695514796396\t>\t1900355429914825\n",
-      "   7 False\t1900355429914825\t>\t885280534156055\n",
-      "   8 False\t885280534156055\t>\t147038092069190\n",
-      "   9 False\t147038092069190\t>\t38556885563577\n",
-      "  10 False\t38556885563577\t>\t37296469522248\n",
-      "  11 False\t37296469522248\t>\t7680039337343\n",
-      "  12 False\t7680039337343\t>\t5395613387456\n",
-      "  13 False\t5395613387456\t>\t761461167673\n",
-      "  14 False\t761461167673\t>\t383327555333\n",
-      "   2 True\t383327555333\t<\t374763030873152469\n",
-      "   3 True\t374763030873152469\t<\t681703276381109716\n",
-      "   4 True\t681703276381109716\t<\t9183769403912234812\n",
-      "   5 True\t9183769403912234812\t<\t9215732820427513932\n",
-      "   6 True\t9215732820427513932\t<\t9218321342101093419\n",
-      "   2 False\t9218321342101093419\t>\t4556582326852227970\n",
-      "   3 False\t4556582326852227970\t>\t2379072517138808545\n",
-      "   2 True\t2379072517138808545\t<\t5987225193154107779\n",
-      "   3 True\t5987225193154107779\t<\t6581663637806777917\n",
-      "   4 True\t6581663637806777917\t<\t8383560909808574806\n",
-      "   5 True\t8383560909808574806\t<\t8401981136242166630\n",
-      "   6 True\t8401981136242166630\t<\t8885218623910397734\n",
-      "   1 True\t8885218623910397734\t=\t8885218623910397734\n",
-      "   2 True\t8885218623910397734\t<\t9025259707376575691\n",
-      "   3 True\t9025259707376575691\t<\t9044430808226368463\n",
-      "   4 True\t9044430808226368463\t<\t9179764519245360390\n",
-      "   1 True\t9179764519245360390\t=\t9179764519245360390\n",
-      "   2 True\t9179764519245360390\t<\t9215565915024483564\n",
-      "   3 True\t9215565915024483564\t<\t9217675189673033617\n",
-      "   4 True\t9217675189673033617\t<\t9218656650325436569\n",
-      "   5 True\t9218656650325436569\t<\t9220728906934384204\n",
-      "   2 False\t9220728906934384204\t>\t508921629320557859\n",
-      "   3 False\t508921629320557859\t>\t139162540853166471\n",
-      "   4 False\t139162540853166471\t>\t85359730186604020\n",
-      "   5 False\t85359730186604020\t>\t4537856608055605\n",
-      "   6 False\t4537856608055605\t>\t1289367744529027\n",
-      "   7 False\t1289367744529027\t>\t70489923107163\n",
-      "   8 False\t70489923107163\t>\t23752681295729\n",
-      "   9 False\t23752681295729\t>\t8903627298398\n",
-      "  10 False\t8903627298398\t>\t2742188751629\n",
-      "  11 False\t2742188751629\t>\t851162665453\n",
-      "  12 False\t851162665453\t>\t143885597493\n",
-      "  13 False\t143885597493\t>\t53051264316\n",
-      "   2 True\t53051264316\t<\t6774016388782437209\n",
-      "   3 True\t6774016388782437209\t<\t8065324710948366704\n",
-      "   4 True\t8065324710948366704\t<\t8464411427493189042\n",
-      "   2 False\t8464411427493189042\t>\t6317364986794881124\n",
-      "   2 True\t6317364986794881124\t<\t9091335764499758432\n",
-      "   3 True\t9091335764499758432\t<\t9166243604346585246\n",
-      "   2 False\t9166243604346585246\t>\t7738295000394519294\n",
-      "   3 False\t7738295000394519294\t>\t7687099878375926995\n",
-      "   4 False\t7687099878375926995\t>\t4938082411950574543\n",
-      "   2 True\t4938082411950574543\t<\t5624500322515119638\n",
-      "   3 True\t5624500322515119638\t<\t7120749520994424514\n",
-      "   2 False\t7120749520994424514\t>\t4725071746944557819\n",
-      "   1 False\t4725071746944557819\t=\t4725071746944557819\n",
-      "   2 True\t4725071746944557819\t<\t8266719791330486646\n",
-      "   2 False\t8266719791330486646\t>\t7124005739107395151\n",
-      "   3 False\t7124005739107395151\t>\t133944563292904382\n",
-      "   4 False\t133944563292904382\t>\t13959597338309737\n",
-      "   2 True\t13959597338309737\t<\t319725213562132412\n",
-      "   3 True\t319725213562132412\t<\t7426768134829120896\n",
-      "   4 True\t7426768134829120896\t<\t7550511233605993353\n",
-      "   5 True\t7550511233605993353\t<\t7762501976233127338\n",
-      "   2 False\t7762501976233127338\t>\t6380209174567804326\n",
-      "   2 True\t6380209174567804326\t<\t6465351908640953304\n",
-      "   3 True\t6465351908640953304\t<\t7686310468184417775\n",
-      "   2 False\t7686310468184417775\t>\t1995515150514973414\n",
-      "   3 False\t1995515150514973414\t>\t972595418055659573\n",
-      "   4 False\t972595418055659573\t>\t291942021143072385\n",
-      "   5 False\t291942021143072385\t>\t127581323048731720\n",
-      "   1 False\t127581323048731720\t=\t127581323048731720\n",
-      "   1 False\t127581323048731720\t=\t127581323048731720\n",
-      "   2 False\t127581323048731720\t>\t24736828085389771\n",
-      "   2 True\t24736828085389771\t<\t5211650906972128562\n",
-      "   3 True\t5211650906972128562\t<\t5683091988986504601\n",
-      "   4 True\t5683091988986504601\t<\t7196675565303992832\n",
-      "   2 False\t7196675565303992832\t>\t1388952732263995667\n",
-      "   2 True\t1388952732263995667\t<\t3041734180814365320\n",
-      "   3 True\t3041734180814365320\t<\t7835258825806108630\n",
-      "   4 True\t7835258825806108630\t<\t7874663620705942910\n",
-      "   1 True\t7874663620705942910\t=\t7874663620705942910\n",
-      "   2 True\t7874663620705942910\t<\t8052515578768386598\n",
-      "   3 True\t8052515578768386598\t<\t8217881668063876145\n",
-      "   2 False\t8217881668063876145\t>\t7945940366526139459\n",
-      "   3 False\t7945940366526139459\t>\t2603372412337704610\n",
-      "   4 False\t2603372412337704610\t>\t926391337082410387\n",
-      "   5 False\t926391337082410387\t>\t900080339216166689\n",
-      "   2 True\t900080339216166689\t<\t6305093687315478682\n",
-      "   3 True\t6305093687315478682\t<\t7973704190316658671\n",
-      "   2 False\t7973704190316658671\t>\t909041088819090413\n",
-      "   2 True\t909041088819090413\t<\t5813514514077880541\n",
-      "   3 True\t5813514514077880541\t<\t9081140531240009651\n",
-      "   2 False\t9081140531240009651\t>\t3045208330966293738\n",
-      "   2 True\t3045208330966293738\t<\t3864666028188488578\n",
-      "   3 True\t3864666028188488578\t<\t5284563954447307300\n",
-      "   2 False\t5284563954447307300\t>\t3189535129812486814\n",
-      "   2 True\t3189535129812486814\t<\t7774783002698594299\n",
-      "   3 True\t7774783002698594299\t<\t7973538783968469761\n",
-      "   4 True\t7973538783968469761\t<\t8693461396366664859\n",
-      "   5 True\t8693461396366664859\t<\t8849961309758003426\n",
-      "   6 True\t8849961309758003426\t<\t8955102058523048305\n",
-      "   7 True\t8955102058523048305\t<\t8958931644413357965\n",
-      "   8 True\t8958931644413357965\t<\t9175509555290715906\n",
-      "   9 True\t9175509555290715906\t<\t9197186153526723802\n",
-      "  10 True\t9197186153526723802\t<\t9211856004448860646\n",
-      "  11 True\t9211856004448860646\t<\t9212787845210380608\n",
-      "  12 True\t9212787845210380608\t<\t9218484558843249523\n",
-      "   1 True\t9218484558843249523\t=\t9218484558843249523\n",
-      "   1 True\t9218484558843249523\t=\t9218484558843249523\n",
-      "   2 False\t9218484558843249523\t>\t8431813252845370158\n",
-      "   3 False\t8431813252845370158\t>\t1567067836844296214\n",
-      "   4 False\t1567067836844296214\t>\t860337035415996363\n",
-      "   5 False\t860337035415996363\t>\t820529084533267132\n",
-      "   6 False\t820529084533267132\t>\t743797758445235863\n",
-      "   2 True\t743797758445235863\t<\t3407798865743834000\n",
-      "   3 True\t3407798865743834000\t<\t5009421917719221442\n",
-      "   4 True\t5009421917719221442\t<\t8033816611088116410\n",
-      "   5 True\t8033816611088116410\t<\t8620489467547404607\n",
-      "   2 False\t8620489467547404607\t>\t3675572894635257882\n",
-      "   3 False\t3675572894635257882\t>\t858589986499905997\n",
-      "   2 True\t858589986499905997\t<\t4719037359603088536\n",
-      "   2 False\t4719037359603088536\t>\t1169024642677949217\n",
-      "   3 False\t1169024642677949217\t>\t6138508587416315\n",
-      "   4 False\t6138508587416315\t>\t3255524107715878\n",
-      "   5 False\t3255524107715878\t>\t2569368593119911\n",
-      "   6 False\t2569368593119911\t>\t1982697765733315\n",
-      "   7 False\t1982697765733315\t>\t1331049268657786\n",
-      "   2 True\t1331049268657786\t<\t4012690584179270095\n",
-      "   3 True\t4012690584179270095\t<\t7803694997070986156\n",
-      "   4 True\t7803694997070986156\t<\t8119809994585623964\n",
-      "   5 True\t8119809994585623964\t<\t8365712653277310891\n",
-      "   6 True\t8365712653277310891\t<\t8695537658306738266\n",
-      "   7 True\t8695537658306738266\t<\t8900291538495446314\n",
-      "   8 True\t8900291538495446314\t<\t9014636021904782909\n",
-      "   9 True\t9014636021904782909\t<\t9045600846322930485\n",
-      "   2 False\t9045600846322930485\t>\t6017617205711430689\n",
-      "   3 False\t6017617205711430689\t>\t2697504700721545490\n",
-      "   4 False\t2697504700721545490\t>\t681893770565040251\n",
-      "   5 False\t681893770565040251\t>\t36855559905837287\n",
-      "   2 True\t36855559905837287\t<\t4252037591843035948\n",
-      "   3 True\t4252037591843035948\t<\t5093617976707446581\n",
-      "   4 True\t5093617976707446581\t<\t7467559555438941688\n",
-      "   2 False\t7467559555438941688\t>\t6547478177453607116\n",
-      "   3 False\t6547478177453607116\t>\t4085695082057607338\n",
-      "   4 False\t4085695082057607338\t>\t613865656103814947\n",
-      "   2 True\t613865656103814947\t<\t3070201282469890002\n",
-      "   3 True\t3070201282469890002\t<\t3967972861468974619\n",
-      "   4 True\t3967972861468974619\t<\t4416174046189087903\n",
-      "   5 True\t4416174046189087903\t<\t5047327572755946008\n",
-      "   6 True\t5047327572755946008\t<\t7107515766307250575\n",
-      "   7 True\t7107515766307250575\t<\t8661696027545085880\n",
-      "   1 True\t8661696027545085880\t=\t8661696027545085880\n",
-      "   2 True\t8661696027545085880\t<\t9197299649148325917\n",
-      "   3 True\t9197299649148325917\t<\t9215219912437100167\n",
-      "   4 True\t9215219912437100167\t<\t9218811840972088605\n",
-      "   2 False\t9218811840972088605\t>\t8378253238074149155\n",
-      "   3 False\t8378253238074149155\t>\t6465316354490238629\n",
-      "   4 False\t6465316354490238629\t>\t6255532908074512234\n",
-      "   5 False\t6255532908074512234\t>\t3457174171758340631\n",
-      "   6 False\t3457174171758340631\t>\t1664348345926969292\n",
-      "   7 False\t1664348345926969292\t>\t1257359066637357317\n",
-      "   2 True\t1257359066637357317\t<\t2922729510502495387\n",
-      "   3 True\t2922729510502495387\t<\t9216417811304074202\n",
-      "   4 True\t9216417811304074202\t<\t9221887785133350873\n",
-      "   2 False\t9221887785133350873\t>\t1569685131486962711\n",
-      "   2 True\t1569685131486962711\t<\t7288187946831031718\n",
-      "   3 True\t7288187946831031718\t<\t9193611713084411659\n",
-      "   4 True\t9193611713084411659\t<\t9207961550558869256\n",
-      "   5 True\t9207961550558869256\t<\t9219350735592677735\n",
-      "   6 True\t9219350735592677735\t<\t9219922973208376324\n",
-      "   7 True\t9219922973208376324\t<\t9223013679238323399\n",
-      "   2 False\t9223013679238323399\t>\t8773728962344079414\n",
-      "   3 False\t8773728962344079414\t>\t2281760921845730590\n",
-      "   2 True\t2281760921845730590\t<\t4745408798855016008\n",
-      "   3 True\t4745408798855016008\t<\t8227635970506528377\n",
-      "   2 False\t8227635970506528377\t>\t7367209099080016283\n",
-      "   3 False\t7367209099080016283\t>\t2837915385458232546\n",
-      "   1 False\t2837915385458232546\t=\t2837915385458232546\n",
-      "   2 False\t2837915385458232546\t>\t2003959242246995515\n",
-      "   2 True\t2003959242246995515\t<\t4444379944746563273\n",
-      "   3 True\t4444379944746563273\t<\t8549635686303199595\n",
-      "   4 True\t8549635686303199595\t<\t8908560444566926678\n",
-      "   5 True\t8908560444566926678\t<\t9181000041752932235\n",
-      "   6 True\t9181000041752932235\t<\t9206803242419796535\n",
-      "   7 True\t9206803242419796535\t<\t9207480055775706068\n",
-      "   2 False\t9207480055775706068\t>\t7893080201806151025\n",
-      "   2 True\t7893080201806151025\t<\t8091021185560746690\n",
-      "   2 False\t8091021185560746690\t>\t5531969941000343407\n",
-      "   3 False\t5531969941000343407\t>\t506063729822597821\n",
-      "   4 False\t506063729822597821\t>\t490966017390829559\n",
-      "   5 False\t490966017390829559\t>\t204521571539353722\n",
-      "   2 True\t204521571539353722\t<\t1130850264056692307\n",
-      "   3 True\t1130850264056692307\t<\t8257259556921707760\n",
-      "   2 False\t8257259556921707760\t>\t4588667904867704168\n",
-      "   2 True\t4588667904867704168\t<\t8881372052194046173\n",
-      "   3 True\t8881372052194046173\t<\t8916198522760411832\n",
-      "   2 False\t8916198522760411832\t>\t2115879429835384018\n",
-      "   3 False\t2115879429835384018\t>\t542653651172608773\n",
-      "   4 False\t542653651172608773\t>\t302937373327774540\n",
-      "   1 False\t302937373327774540\t=\t302937373327774540\n",
-      "   2 False\t302937373327774540\t>\t145231308899683702\n",
-      "   3 False\t145231308899683702\t>\t121982186293956769\n",
-      "   2 True\t121982186293956769\t<\t5510810101883734672\n",
-      "   3 True\t5510810101883734672\t<\t6242994091637054300\n",
-      "   4 True\t6242994091637054300\t<\t7262302937992480208\n",
-      "   5 True\t7262302937992480208\t<\t8273862794534029335\n",
-      "   6 True\t8273862794534029335\t<\t8324984220265520992\n",
-      "   7 True\t8324984220265520992\t<\t9082854297292982292\n",
-      "   8 True\t9082854297292982292\t<\t9184715013704060787\n",
-      "   9 True\t9184715013704060787\t<\t9185184588526343983\n",
-      "  10 True\t9185184588526343983\t<\t9191339545428210256\n",
-      "  11 True\t9191339545428210256\t<\t9218618052880828575\n",
-      "  12 True\t9218618052880828575\t<\t9221323426656081171\n",
-      "  13 True\t9221323426656081171\t<\t9221548741489886094\n",
-      "  14 True\t9221548741489886094\t<\t9223148849483384806\n",
-      "  15 True\t9223148849483384806\t<\t9223275179419924578\n",
-      "  16 True\t9223275179419924578\t<\t9223359943606331150\n",
-      "  17 True\t9223359943606331150\t<\t9223368350061844677\n",
-      "  18 True\t9223368350061844677\t<\t9223369467362272463\n",
-      "  19 True\t9223369467362272463\t<\t9223371441163751052\n",
-      "   2 False\t9223371441163751052\t>\t5420870357814390032\n",
-      "   3 False\t5420870357814390032\t>\t842261995181512338\n",
-      "   2 True\t842261995181512338\t<\t6351936884821371851\n",
-      "   3 True\t6351936884821371851\t<\t7954434986603549122\n",
-      "   2 False\t7954434986603549122\t>\t1960752838005930775\n",
-      "   2 True\t1960752838005930775\t<\t8583503998954556494\n",
-      "   3 True\t8583503998954556494\t<\t9098344894934694420\n",
-      "   4 True\t9098344894934694420\t<\t9216379406299547256\n",
-      "   5 True\t9216379406299547256\t<\t9221173337419262488\n",
-      "   2 False\t9221173337419262488\t>\t499026674014231982\n",
-      "   2 True\t499026674014231982\t<\t7678516838932341763\n",
-      "   2 False\t7678516838932341763\t>\t592412055010960833\n",
-      "   3 False\t592412055010960833\t>\t289723361460525994\n",
-      "   4 False\t289723361460525994\t>\t164220845313614784\n",
-      "   5 False\t164220845313614784\t>\t103003497877618434\n",
-      "   6 False\t103003497877618434\t>\t45062007620595867\n",
-      "   7 False\t45062007620595867\t>\t18259808073577879\n",
-      "   8 False\t18259808073577879\t>\t13984958958089108\n",
-      "   2 True\t13984958958089108\t<\t8150545576642490099\n",
-      "   3 True\t8150545576642490099\t<\t8327441681530997644\n",
-      "   2 False\t8327441681530997644\t>\t5470902735610367178\n",
-      "   3 False\t5470902735610367178\t>\t3074155987744156817\n",
-      "   4 False\t3074155987744156817\t>\t1113781500253392380\n",
-      "   2 True\t1113781500253392380\t<\t8769274711315348119\n",
-      "   3 True\t8769274711315348119\t<\t8944365897188925969\n",
-      "   4 True\t8944365897188925969\t<\t9082027894697428093\n",
-      "   5 True\t9082027894697428093\t<\t9128024228886831795\n",
-      "   2 False\t9128024228886831795\t>\t2653151673308489711\n",
-      "   2 True\t2653151673308489711\t<\t7526349066008494356\n",
-      "   2 False\t7526349066008494356\t>\t6844300732080921653\n",
-      "   2 True\t6844300732080921653\t<\t7595902985609640454\n",
-      "   3 True\t7595902985609640454\t<\t7729185879459153080\n",
-      "   4 True\t7729185879459153080\t<\t9190252934439492892\n",
-      "   5 True\t9190252934439492892\t<\t9198075501387509593\n",
-      "   6 True\t9198075501387509593\t<\t9202521991090431488\n",
-      "   7 True\t9202521991090431488\t<\t9222059002363167023\n",
-      "   1 True\t9222059002363167023\t=\t9222059002363167023\n",
-      "   2 True\t9222059002363167023\t<\t9223144474333459357\n",
-      "   3 True\t9223144474333459357\t<\t9223157446335449963\n",
-      "   4 True\t9223157446335449963\t<\t9223219513037781122\n",
-      "   5 True\t9223219513037781122\t<\t9223264436405746212\n",
-      "   6 True\t9223264436405746212\t<\t9223364547230869402\n",
-      "   7 True\t9223364547230869402\t<\t9223367248861961211\n",
-      "   2 False\t9223367248861961211\t>\t3705310265506827236\n",
-      "   3 False\t3705310265506827236\t>\t1774290898850884828\n",
-      "   4 False\t1774290898850884828\t>\t1321162100832551633\n",
-      "   5 False\t1321162100832551633\t>\t558051646680300551\n",
-      "   6 False\t558051646680300551\t>\t478753402330724860\n",
-      "   7 False\t478753402330724860\t>\t325917123104753133\n",
-      "   2 True\t325917123104753133\t<\t3896370178270030989\n",
-      "   3 True\t3896370178270030989\t<\t5304894570142419699\n",
-      "   4 True\t5304894570142419699\t<\t5688314229571805071\n",
-      "   1 True\t5688314229571805071\t=\t5688314229571805071\n",
-      "   2 False\t5688314229571805071\t>\t5623865200535737484\n",
-      "   2 True\t5623865200535737484\t<\t7942244970936594779\n",
-      "   2 False\t7942244970936594779\t>\t2383554152229545641\n",
-      "   3 False\t2383554152229545641\t>\t1079369886252009183\n",
-      "   2 True\t1079369886252009183\t<\t8918765515610361270\n",
-      "   3 True\t8918765515610361270\t<\t9048548622534738197\n",
-      "   4 True\t9048548622534738197\t<\t9200398639058500392\n",
-      "   5 True\t9200398639058500392\t<\t9211035721090841228\n",
-      "   6 True\t9211035721090841228\t<\t9222484877172220577\n",
-      "   7 True\t9222484877172220577\t<\t9223068126283810752\n",
-      "   2 False\t9223068126283810752\t>\t1535325076301789107\n",
-      "   3 False\t1535325076301789107\t>\t1465440223410048178\n",
-      "   4 False\t1465440223410048178\t>\t1278576122513998648\n",
-      "   2 True\t1278576122513998648\t<\t2559095214104433119\n",
-      "   2 False\t2559095214104433119\t>\t2063867605544617279\n",
-      "   3 False\t2063867605544617279\t>\t353110977731466354\n",
-      "   4 False\t353110977731466354\t>\t257423875402782632\n",
-      "   2 True\t257423875402782632\t<\t9166464568996495000\n",
-      "   1 True\t9166464568996495000\t=\t9166464568996495000\n",
-      "   2 False\t9166464568996495000\t>\t4266917809995667888\n",
-      "   3 False\t4266917809995667888\t>\t2363308770649351600\n",
-      "   4 False\t2363308770649351600\t>\t758002870811213409\n",
-      "   5 False\t758002870811213409\t>\t503591671800521949\n",
-      "   6 False\t503591671800521949\t>\t332022843991438636\n",
-      "   7 False\t332022843991438636\t>\t157915430538370725\n",
-      "   8 False\t157915430538370725\t>\t95295109302987602\n",
-      "   9 False\t95295109302987602\t>\t53709310370964313\n",
-      "  10 False\t53709310370964313\t>\t51556373705803470\n",
-      "  11 False\t51556373705803470\t>\t40066999596478804\n",
-      "  12 False\t40066999596478804\t>\t13712512401011102\n",
-      "  13 False\t13712512401011102\t>\t4512587103373021\n",
-      "  14 False\t4512587103373021\t>\t4290580233032221\n",
-      "   1 False\t4290580233032221\t=\t4290580233032221\n",
-      "   2 False\t4290580233032221\t>\t91026947645296\n",
-      "   3 False\t91026947645296\t>\t5737017463418\n",
-      "   4 False\t5737017463418\t>\t4682589678287\n",
-      "   1 False\t4682589678287\t=\t4682589678287\n",
-      "   1 False\t4682589678287\t=\t4682589678287\n",
-      "   2 True\t4682589678287\t<\t812259956749015913\n",
-      "   2 False\t812259956749015913\t>\t22281783090749492\n",
-      "   3 False\t22281783090749492\t>\t21669030013254746\n",
-      "   4 False\t21669030013254746\t>\t19379923267015179\n",
-      "   5 False\t19379923267015179\t>\t10404053303234005\n",
-      "   6 False\t10404053303234005\t>\t8771354370698582\n",
-      "   2 True\t8771354370698582\t<\t5796914361938154466\n",
-      "   2 False\t5796914361938154466\t>\t498789028883475136\n",
-      "   3 False\t498789028883475136\t>\t142116292942427178\n",
-      "   4 False\t142116292942427178\t>\t78390671215463491\n",
-      "   5 False\t78390671215463491\t>\t30514678193735806\n",
-      "   1 False\t30514678193735806\t=\t30514678193735806\n",
-      "   2 False\t30514678193735806\t>\t28466470968548587\n",
-      "   2 True\t28466470968548587\t<\t7670382906397988879\n",
-      "   3 True\t7670382906397988879\t<\t8305576064203130183\n",
-      "   4 True\t8305576064203130183\t<\t8916959915381047638\n",
-      "   5 True\t8916959915381047638\t<\t9107797408617304130\n",
-      "   2 False\t9107797408617304130\t>\t1520072265687362631\n",
-      "   2 True\t1520072265687362631\t<\t2094267479810287362\n",
-      "   3 True\t2094267479810287362\t<\t3276812362496386685\n",
-      "   1 True\t3276812362496386685\t=\t3276812362496386685\n",
-      "   1 True\t3276812362496386685\t=\t3276812362496386685\n",
-      "   1 True\t3276812362496386685\t=\t3276812362496386685\n",
-      "   2 False\t3276812362496386685\t>\t478134846857639878\n",
-      "   2 True\t478134846857639878\t<\t4042576712467565176\n",
-      "   2 False\t4042576712467565176\t>\t897855494028169678\n",
-      "   3 False\t897855494028169678\t>\t685802812202836001\n",
-      "   4 False\t685802812202836001\t>\t3204994360676925\n",
-      "   5 False\t3204994360676925\t>\t2768684852059677\n",
-      "   2 True\t2768684852059677\t<\t7508855105271441691\n",
-      "   3 True\t7508855105271441691\t<\t9185139989730678732\n",
-      "   1 True\t9185139989730678732\t=\t9185139989730678732\n",
-      "   2 True\t9185139989730678732\t<\t9215530565536128128\n",
-      "   3 True\t9215530565536128128\t<\t9222973706825905524\n",
-      "   4 True\t9222973706825905524\t<\t9223221021426601552\n",
-      "   5 True\t9223221021426601552\t<\t9223323578108735379\n",
-      "   6 True\t9223323578108735379\t<\t9223337051834488136\n",
-      "   7 True\t9223337051834488136\t<\t9223357842925839750\n",
-      "   8 True\t9223357842925839750\t<\t9223369348827084344\n",
-      "   9 True\t9223369348827084344\t<\t9223371326338185025\n",
-      "  10 True\t9223371326338185025\t<\t9223371688506743749\n",
-      "   2 False\t9223371688506743749\t>\t8344364717390916792\n",
-      "   2 True\t8344364717390916792\t<\t8754001569129389507\n",
-      "   3 True\t8754001569129389507\t<\t8819615731782545156\n",
-      "   4 True\t8819615731782545156\t<\t9112861981495693807\n",
-      "   5 True\t9112861981495693807\t<\t9121751564893323876\n",
-      "   2 False\t9121751564893323876\t>\t6891484828899494690\n",
-      "   3 False\t6891484828899494690\t>\t447526618811222333\n",
-      "   2 True\t447526618811222333\t<\t4206212009948418458\n",
-      "   2 False\t4206212009948418458\t>\t557881954171246038\n",
-      "   3 False\t557881954171246038\t>\t74219238207989766\n",
-      "   4 False\t74219238207989766\t>\t22296463424797435\n",
-      "   1 False\t22296463424797435\t=\t22296463424797435\n",
-      "   2 True\t22296463424797435\t<\t6726716221708755014\n",
-      "   3 True\t6726716221708755014\t<\t8305030460961010256\n",
-      "   4 True\t8305030460961010256\t<\t8881096981037727938\n",
-      "   5 True\t8881096981037727938\t<\t9135730558613848006\n",
-      "   6 True\t9135730558613848006\t<\t9158290922912166894\n",
-      "   2 False\t9158290922912166894\t>\t4185999468186138119\n",
-      "   3 False\t4185999468186138119\t>\t2157448145688732510\n",
-      "   4 False\t2157448145688732510\t>\t2079548185228093851\n",
-      "   2 True\t2079548185228093851\t<\t5317120355488328005\n",
-      "   2 False\t5317120355488328005\t>\t1406923727123677449\n",
-      "   2 True\t1406923727123677449\t<\t4071205222397900612\n",
-      "   2 False\t4071205222397900612\t>\t1153653276956440374\n",
-      "   3 False\t1153653276956440374\t>\t1116871212184382098\n",
-      "   4 False\t1116871212184382098\t>\t657988784883928617\n",
-      "   5 False\t657988784883928617\t>\t78447882181967213\n",
-      "   6 False\t78447882181967213\t>\t53511386296337892\n",
-      "   2 True\t53511386296337892\t<\t5940117977314303559\n",
-      "   1 True\t5940117977314303559\t=\t5940117977314303559\n",
-      "   2 True\t5940117977314303559\t<\t8862539233228586207\n",
-      "   3 True\t8862539233228586207\t<\t9218766557212459879\n",
-      "   4 True\t9218766557212459879\t<\t9223093722859329261\n",
-      "   2 False\t9223093722859329261\t>\t8220237416112114428\n",
-      "   3 False\t8220237416112114428\t>\t3194987732149816881\n",
-      "   2 True\t3194987732149816881\t<\t8040297669819751678\n",
-      "   3 True\t8040297669819751678\t<\t8065604544252566670\n",
-      "   4 True\t8065604544252566670\t<\t8947881144386734475\n",
-      "   5 True\t8947881144386734475\t<\t9039779883455480966\n",
-      "   6 True\t9039779883455480966\t<\t9126333126609664213\n",
-      "   1 True\t9126333126609664213\t=\t9126333126609664213\n",
-      "   2 True\t9126333126609664213\t<\t9162687305352511192\n",
-      "   3 True\t9162687305352511192\t<\t9218363171149962642\n",
-      "   2 False\t9218363171149962642\t>\t1491383122581980570\n",
-      "   3 False\t1491383122581980570\t>\t1005441724787833229\n",
-      "   4 False\t1005441724787833229\t>\t266374489000195763\n",
-      "   5 False\t266374489000195763\t>\t156723032341980508\n",
-      "   2 True\t156723032341980508\t<\t4768444126685953388\n",
-      "   3 True\t4768444126685953388\t<\t6004899296482597443\n",
-      "   4 True\t6004899296482597443\t<\t8342332815032662761\n",
-      "   5 True\t8342332815032662761\t<\t9163826755603630582\n",
-      "   6 True\t9163826755603630582\t<\t9167889905885810909\n",
-      "   2 False\t9167889905885810909\t>\t3759385074736992575\n",
-      "   3 False\t3759385074736992575\t>\t494034310790401040\n",
-      "   4 False\t494034310790401040\t>\t229547917061260526\n",
-      "   5 False\t229547917061260526\t>\t208128948022530929\n",
-      "   6 False\t208128948022530929\t>\t176837951755577940\n",
-      "   2 True\t176837951755577940\t<\t3816844380034941106\n",
-      "   3 True\t3816844380034941106\t<\t8813271855430620076\n",
-      "   2 False\t8813271855430620076\t>\t1658694693060335178\n",
-      "   3 False\t1658694693060335178\t>\t986710209135792833\n",
-      "   2 True\t986710209135792833\t<\t8567887258630762183\n",
-      "   3 True\t8567887258630762183\t<\t9053159919470501452\n",
-      "   4 True\t9053159919470501452\t<\t9117482353513652580\n",
-      "   2 False\t9117482353513652580\t>\t7265914739179371176\n",
-      "   3 False\t7265914739179371176\t>\t181919102917445449\n",
-      "   4 False\t181919102917445449\t>\t152257831089596043\n",
-      "   5 False\t152257831089596043\t>\t150604826125024824\n",
-      "   6 False\t150604826125024824\t>\t146084789707825110\n",
-      "   7 False\t146084789707825110\t>\t47338529674413587\n",
-      "   8 False\t47338529674413587\t>\t38751061147092861\n",
-      "   9 False\t38751061147092861\t>\t5073162886828125\n",
-      "   2 True\t5073162886828125\t<\t1894694101692433931\n",
-      "   3 True\t1894694101692433931\t<\t2759432037056127828\n",
-      "   2 False\t2759432037056127828\t>\t201488809051960330\n",
-      "   2 True\t201488809051960330\t<\t2432035270002506049\n",
-      "   3 True\t2432035270002506049\t<\t7581939672375585589\n",
-      "   4 True\t7581939672375585589\t<\t7735388551773733577\n",
-      "   1 True\t7735388551773733577\t=\t7735388551773733577\n",
-      "   2 False\t7735388551773733577\t>\t7645172458035426802\n",
-      "   3 False\t7645172458035426802\t>\t4259347702674645226\n",
-      "   2 True\t4259347702674645226\t<\t8402060472212111076\n",
-      "   2 False\t8402060472212111076\t>\t8380321110456248350\n",
-      "   2 True\t8380321110456248350\t<\t9012934440383042351\n",
-      "   1 True\t9012934440383042351\t=\t9012934440383042351\n",
-      "   2 True\t9012934440383042351\t<\t9120149760339034196\n",
-      "   3 True\t9120149760339034196\t<\t9199170264932473453\n",
-      "   4 True\t9199170264932473453\t<\t9200711177111510999\n",
-      "   1 True\t9200711177111510999\t=\t9200711177111510999\n",
-      "   2 True\t9200711177111510999\t<\t9222666010389533057\n",
-      "   3 True\t9222666010389533057\t<\t9222715581413722470\n",
-      "   2 False\t9222715581413722470\t>\t3336511219910995593\n",
-      "   3 False\t3336511219910995593\t>\t3300063935340208615\n",
-      "   4 False\t3300063935340208615\t>\t1460185430647261337\n",
-      "   2 True\t1460185430647261337\t<\t2914424961912285701\n",
-      "   3 True\t2914424961912285701\t<\t5100566149293060543\n",
-      "   4 True\t5100566149293060543\t<\t5982788164930163588\n",
-      "   5 True\t5982788164930163588\t<\t6710249567505267483\n",
-      "   6 True\t6710249567505267483\t<\t8733192782472345797\n",
-      "   7 True\t8733192782472345797\t<\t9033210628756068829\n",
-      "   2 False\t9033210628756068829\t>\t8240617871617851292\n",
-      "   3 False\t8240617871617851292\t>\t3794051019796760406\n",
-      "   4 False\t3794051019796760406\t>\t1234762505218601605\n",
-      "   5 False\t1234762505218601605\t>\t65615584389655148\n",
-      "   2 True\t65615584389655148\t<\t4390959735192123615\n",
-      "   3 True\t4390959735192123615\t<\t5892824701284448957\n",
-      "   4 True\t5892824701284448957\t<\t6865515543995996920\n",
-      "   5 True\t6865515543995996920\t<\t7035185691468210363\n",
-      "   6 True\t7035185691468210363\t<\t7687704351491861397\n",
-      "   7 True\t7687704351491861397\t<\t8960338812037637689\n",
-      "   8 True\t8960338812037637689\t<\t9081389818406912494\n",
-      "   2 False\t9081389818406912494\t>\t3016947520910416249\n",
-      "   3 False\t3016947520910416249\t>\t56727042611642623\n",
-      "   4 False\t56727042611642623\t>\t13149207389027927\n",
-      "   2 True\t13149207389027927\t<\t8690175594103871307\n",
-      "   3 True\t8690175594103871307\t<\t8850855074129971103\n",
-      "   2 False\t8850855074129971103\t>\t2607055539144440704\n",
-      "   2 True\t2607055539144440704\t<\t4412304748697732823\n",
-      "   3 True\t4412304748697732823\t<\t5240381208750181075\n",
-      "   4 True\t5240381208750181075\t<\t8697534327962534555\n",
-      "   5 True\t8697534327962534555\t<\t9042857406588783955\n",
-      "   2 False\t9042857406588783955\t>\t5588243126720000321\n",
-      "   3 False\t5588243126720000321\t>\t926520482283571729\n",
-      "   2 True\t926520482283571729\t<\t1465681366499261731\n",
-      "   3 True\t1465681366499261731\t<\t7321670222154176820\n",
-      "   1 True\t7321670222154176820\t=\t7321670222154176820\n",
-      "   2 False\t7321670222154176820\t>\t7103176635901661676\n",
-      "   3 False\t7103176635901661676\t>\t3751650105199963923\n",
-      "   4 False\t3751650105199963923\t>\t2411989673549961428\n",
-      "   5 False\t2411989673549961428\t>\t2270142597348885320\n",
-      "   6 False\t2270142597348885320\t>\t1490888206318179835\n",
-      "   2 True\t1490888206318179835\t<\t3967354699201998653\n",
-      "   2 False\t3967354699201998653\t>\t917835025891388856\n",
-      "   2 True\t917835025891388856\t<\t6137073521047159562\n",
-      "   3 True\t6137073521047159562\t<\t8935826073271298301\n",
-      "   4 True\t8935826073271298301\t<\t9185352490996521197\n",
-      "   2 False\t9185352490996521197\t>\t6261723926423470884\n",
-      "   2 True\t6261723926423470884\t<\t7823534974031474634\n",
-      "   3 True\t7823534974031474634\t<\t8487595607862457161\n",
-      "   4 True\t8487595607862457161\t<\t9103266500882191622\n",
-      "   5 True\t9103266500882191622\t<\t9192506146379085598\n",
-      "   6 True\t9192506146379085598\t<\t9209784812982987193\n",
-      "   7 True\t9209784812982987193\t<\t9219153852925603097\n",
-      "   8 True\t9219153852925603097\t<\t9221500664811055168\n",
-      "   9 True\t9221500664811055168\t<\t9221706301007127705\n",
-      "  10 True\t9221706301007127705\t<\t9222873904588647759\n",
-      "  11 True\t9222873904588647759\t<\t9222874403536838151\n",
-      "   1 True\t9222874403536838151\t=\t9222874403536838151\n",
-      "   2 True\t9222874403536838151\t<\t9222907002059405962\n",
-      "   2 False\t9222907002059405962\t>\t3669274580113080011\n",
-      "   3 False\t3669274580113080011\t>\t3586030306526722070\n",
-      "   4 False\t3586030306526722070\t>\t1211030576190273155\n",
-      "   2 True\t1211030576190273155\t<\t7152061870338217411\n",
-      "   3 True\t7152061870338217411\t<\t7439251019718311619\n",
-      "   4 True\t7439251019718311619\t<\t7969925916757294950\n",
-      "   5 True\t7969925916757294950\t<\t7973108535304704057\n",
-      "   6 True\t7973108535304704057\t<\t8564628528057885680\n",
-      "   7 True\t8564628528057885680\t<\t8874948948425856098\n",
-      "   2 False\t8874948948425856098\t>\t1982718370758596350\n",
-      "   2 True\t1982718370758596350\t<\t6572121669927367415\n",
-      "   3 True\t6572121669927367415\t<\t7061658163164666677\n",
-      "   4 True\t7061658163164666677\t<\t7775448041233465153\n",
-      "   2 False\t7775448041233465153\t>\t6244425130873091438\n",
-      "   2 True\t6244425130873091438\t<\t8753461960749559206\n",
-      "   3 True\t8753461960749559206\t<\t9191402122562915637\n",
-      "   2 False\t9191402122562915637\t>\t5158560845858354449\n",
-      "   3 False\t5158560845858354449\t>\t3595481586290404178\n",
-      "   2 True\t3595481586290404178\t<\t6305798218366331222\n",
-      "   2 False\t6305798218366331222\t>\t4102468508316147891\n",
-      "   3 False\t4102468508316147891\t>\t2066062494168967115\n",
-      "   2 True\t2066062494168967115\t<\t2120189365616639498\n",
-      "   2 False\t2120189365616639498\t>\t1198652394775592743\n",
-      "   3 False\t1198652394775592743\t>\t660123472460311145\n",
-      "   2 True\t660123472460311145\t<\t1554587015787396050\n",
-      "   3 True\t1554587015787396050\t<\t3326653100479088625\n",
-      "   4 True\t3326653100479088625\t<\t8005143384174232936\n",
-      "   2 False\t8005143384174232936\t>\t6113881707593084840\n",
-      "   2 True\t6113881707593084840\t<\t8835457965635040496\n",
-      "   2 False\t8835457965635040496\t>\t8145489113893059582\n",
-      "   2 True\t8145489113893059582\t<\t8468549310130449477\n",
-      "   3 True\t8468549310130449477\t<\t9022074538276267308\n",
-      "   2 False\t9022074538276267308\t>\t2206184732999458070\n",
-      "   2 True\t2206184732999458070\t<\t2265405232016706859\n",
-      "   3 True\t2265405232016706859\t<\t6417940950595413981\n",
-      "   4 True\t6417940950595413981\t<\t9038392231087267810\n",
-      "   5 True\t9038392231087267810\t<\t9121590051497909472\n",
-      "   6 True\t9121590051497909472\t<\t9121607709474340148\n",
-      "   7 True\t9121607709474340148\t<\t9158136582954347045\n",
-      "   8 True\t9158136582954347045\t<\t9205562450268279928\n",
-      "   2 False\t9205562450268279928\t>\t2176372640331659885\n",
-      "   2 True\t2176372640331659885\t<\t3329956844998880647\n",
-      "   3 True\t3329956844998880647\t<\t7358522608562558455\n",
-      "   4 True\t7358522608562558455\t<\t8022087427103342845\n",
-      "   2 False\t8022087427103342845\t>\t3815155623978782048\n",
-      "   2 True\t3815155623978782048\t<\t7848272316021949344\n",
-      "   3 True\t7848272316021949344\t<\t8184933093648334219\n",
-      "   4 True\t8184933093648334219\t<\t8583480752866144843\n",
-      "   5 True\t8583480752866144843\t<\t9126497901342458133\n",
-      "   6 True\t9126497901342458133\t<\t9152676804610998904\n",
-      "   2 False\t9152676804610998904\t>\t494105981688163151\n",
-      "   3 False\t494105981688163151\t>\t356912846758701470\n",
-      "   2 True\t356912846758701470\t<\t1603754093471967779\n",
-      "   3 True\t1603754093471967779\t<\t5686524075294269742\n",
-      "   2 False\t5686524075294269742\t>\t2189489087886538244\n",
-      "   2 True\t2189489087886538244\t<\t4167368372695478588\n",
-      "   3 True\t4167368372695478588\t<\t6711576284367531786\n",
-      "   1 True\t6711576284367531786\t=\t6711576284367531786\n",
-      "   2 True\t6711576284367531786\t<\t8737667956587632332\n",
-      "   3 True\t8737667956587632332\t<\t8988402226641864790\n",
-      "   4 True\t8988402226641864790\t<\t8993776718832193904\n",
-      "   5 True\t8993776718832193904\t<\t9177778806017697988\n",
-      "   6 True\t9177778806017697988\t<\t9192366388722985759\n",
-      "   2 False\t9192366388722985759\t>\t1725329281523850043\n",
-      "   3 False\t1725329281523850043\t>\t873568740772054526\n",
-      "   4 False\t873568740772054526\t>\t378960581489925351\n",
-      "   2 True\t378960581489925351\t<\t3674655880783469465\n",
-      "   1 True\t3674655880783469465\t=\t3674655880783469465\n",
-      "   2 False\t3674655880783469465\t>\t3113022545822205239\n",
-      "   3 False\t3113022545822205239\t>\t738412745667301719\n",
-      "   2 True\t738412745667301719\t<\t1505915598369040121\n",
-      "   3 True\t1505915598369040121\t<\t3643711048449085274\n",
-      "   4 True\t3643711048449085274\t<\t6993872709001391097\n",
-      "   5 True\t6993872709001391097\t<\t8191614481115002072\n",
-      "   2 False\t8191614481115002072\t>\t5427268547941106430\n",
-      "   2 True\t5427268547941106430\t<\t9032035374101447677\n",
-      "   2 False\t9032035374101447677\t>\t2300681251452662246\n",
-      "   1 False\t2300681251452662246\t=\t2300681251452662246\n",
-      "   2 False\t2300681251452662246\t>\t2060074116600992973\n",
-      "   2 True\t2060074116600992973\t<\t5047583971315743265\n",
-      "   3 True\t5047583971315743265\t<\t6787395601183312728\n",
-      "   2 False\t6787395601183312728\t>\t4484587577141803005\n",
-      "   2 True\t4484587577141803005\t<\t6677289847977841437\n",
-      "   3 True\t6677289847977841437\t<\t8162462644315291872\n",
-      "   4 True\t8162462644315291872\t<\t8629355550628007282\n",
-      "   5 True\t8629355550628007282\t<\t8865632236226340199\n",
-      "   2 False\t8865632236226340199\t>\t6184137528932010051\n",
-      "   3 False\t6184137528932010051\t>\t3419112713228730237\n",
-      "   4 False\t3419112713228730237\t>\t2142370502888365837\n",
-      "   2 True\t2142370502888365837\t<\t2705365885702957012\n",
-      "   3 True\t2705365885702957012\t<\t8431244371058654926\n",
-      "   2 False\t8431244371058654926\t>\t4865383946775493920\n",
-      "   3 False\t4865383946775493920\t>\t4166916679047552102\n",
-      "   2 True\t4166916679047552102\t<\t5539213806316350848\n",
-      "   3 True\t5539213806316350848\t<\t5873633340947700006\n",
-      "   4 True\t5873633340947700006\t<\t8271584693913583745\n",
-      "   5 True\t8271584693913583745\t<\t9087305080995810735\n",
-      "   6 True\t9087305080995810735\t<\t9115175318663042489\n",
-      "   2 False\t9115175318663042489\t>\t7652320367920481497\n",
-      "   3 False\t7652320367920481497\t>\t4101502417420905603\n",
-      "   4 False\t4101502417420905603\t>\t3240817975381036852\n",
-      "   5 False\t3240817975381036852\t>\t1065886835220837704\n",
-      "   6 False\t1065886835220837704\t>\t834517909538775640\n",
-      "   7 False\t834517909538775640\t>\t796383346115099343\n",
-      "   8 False\t796383346115099343\t>\t302460869854040585\n",
-      "   9 False\t302460869854040585\t>\t107387169897154165\n",
-      "  10 False\t107387169897154165\t>\t10222001378628169\n",
-      "  11 False\t10222001378628169\t>\t9888037431869335\n",
-      "  12 False\t9888037431869335\t>\t9148375790689967\n",
-      "  13 False\t9148375790689967\t>\t4132623223136308\n",
-      "   2 True\t4132623223136308\t<\t8262512329719792299\n",
-      "   3 True\t8262512329719792299\t<\t8687760584854224707\n",
-      "   2 False\t8687760584854224707\t>\t646842040402977794\n",
-      "   3 False\t646842040402977794\t>\t85805895174125242\n",
-      "   2 True\t85805895174125242\t<\t4616355878557643531\n",
-      "   2 False\t4616355878557643531\t>\t1417556535684822078\n",
-      "   3 False\t1417556535684822078\t>\t746783787893006230\n",
-      "   4 False\t746783787893006230\t>\t8490340399984102\n",
-      "   2 True\t8490340399984102\t<\t5447675234201233079\n",
-      "   2 False\t5447675234201233079\t>\t3206874041491652874\n",
-      "   2 True\t3206874041491652874\t<\t6914586660547477906\n",
-      "   3 True\t6914586660547477906\t<\t8798218363280515772\n",
-      "   4 True\t8798218363280515772\t<\t9019629380862851268\n",
-      "   5 True\t9019629380862851268\t<\t9038911301857335352\n",
-      "   6 True\t9038911301857335352\t<\t9169829504821855737\n",
-      "   2 False\t9169829504821855737\t>\t8485094047595820732\n",
-      "   2 True\t8485094047595820732\t<\t8852330212454921867\n",
-      "   3 True\t8852330212454921867\t<\t8877697973081067502\n",
-      "   4 True\t8877697973081067502\t<\t9181803017653842118\n",
-      "   5 True\t9181803017653842118\t<\t9201450218988527825\n",
-      "   2 False\t9201450218988527825\t>\t2513576717226286141\n",
-      "   2 True\t2513576717226286141\t<\t7600531288799698507\n",
-      "   3 True\t7600531288799698507\t<\t7917898559900806393\n",
-      "   2 False\t7917898559900806393\t>\t6473077264382622966\n",
-      "   3 False\t6473077264382622966\t>\t5645163735374639472\n",
-      "   4 False\t5645163735374639472\t>\t3827514811493552786\n",
-      "   5 False\t3827514811493552786\t>\t1519916502762849027\n",
-      "   6 False\t1519916502762849027\t>\t1051326793524826926\n",
-      "   2 True\t1051326793524826926\t<\t2990487249224329480\n",
-      "   3 True\t2990487249224329480\t<\t9101035752531677862\n",
-      "   4 True\t9101035752531677862\t<\t9107855726079552925\n",
-      "   5 True\t9107855726079552925\t<\t9218758463127323133\n",
-      "   6 True\t9218758463127323133\t<\t9219576133635320089\n",
-      "   7 True\t9219576133635320089\t<\t9220617111055289739\n",
-      "   8 True\t9220617111055289739\t<\t9221229749826454332\n",
-      "   2 False\t9221229749826454332\t>\t1667791621737838057\n",
-      "   3 False\t1667791621737838057\t>\t1084101324635532827\n",
-      "   4 False\t1084101324635532827\t>\t844639634309459951\n",
-      "   5 False\t844639634309459951\t>\t819350343160074208\n",
-      "   6 False\t819350343160074208\t>\t771699129470397580\n",
-      "   7 False\t771699129470397580\t>\t496471826358717337\n",
-      "   8 False\t496471826358717337\t>\t410113925986484241\n",
-      "   2 True\t410113925986484241\t<\t9125416781755658964\n",
-      "   2 False\t9125416781755658964\t>\t8830422039056463551\n",
-      "   3 False\t8830422039056463551\t>\t360972899599468151\n",
-      "   4 False\t360972899599468151\t>\t132166208813847379\n",
-      "   5 False\t132166208813847379\t>\t7049285783083961\n",
-      "   6 False\t7049285783083961\t>\t2847479423266315\n",
-      "   1 False\t2847479423266315\t=\t2847479423266315\n",
-      "   2 False\t2847479423266315\t>\t1135329051467054\n",
-      "   2 True\t1135329051467054\t<\t4027315481685023929\n",
-      "   3 True\t4027315481685023929\t<\t5077787925611923799\n",
-      "   2 False\t5077787925611923799\t>\t1472496957423236191\n",
-      "   2 True\t1472496957423236191\t<\t4098470734728062862\n",
-      "   3 True\t4098470734728062862\t<\t6774535209058055752\n",
-      "   4 True\t6774535209058055752\t<\t7716732990309265351\n",
-      "   5 True\t7716732990309265351\t<\t8794207320681467533\n",
-      "   6 True\t8794207320681467533\t<\t8930087599508188028\n",
-      "   2 False\t8930087599508188028\t>\t7164515972246111878\n",
-      "   3 False\t7164515972246111878\t>\t568239810575826321\n",
-      "   2 True\t568239810575826321\t<\t4667719756380563163\n",
-      "   2 False\t4667719756380563163\t>\t4279806501518407849\n",
-      "   3 False\t4279806501518407849\t>\t771381842288923457\n",
-      "   2 True\t771381842288923457\t<\t3234828267795003543\n",
-      "   2 False\t3234828267795003543\t>\t1593446645459913631\n",
-      "   3 False\t1593446645459913631\t>\t878360550665931584\n",
-      "   2 True\t878360550665931584\t<\t7169392109284960134\n",
-      "   3 True\t7169392109284960134\t<\t8098733432631119500\n",
-      "   4 True\t8098733432631119500\t<\t8844056415814768920\n",
-      "   2 False\t8844056415814768920\t>\t8163272172345021537\n",
-      "   1 False\t8163272172345021537\t=\t8163272172345021537\n",
-      "   2 False\t8163272172345021537\t>\t4928729098332334132\n",
-      "   3 False\t4928729098332334132\t>\t1599738699008364188\n",
-      "   4 False\t1599738699008364188\t>\t10828083360221119\n",
-      "   5 False\t10828083360221119\t>\t2653286792578555\n",
-      "   2 True\t2653286792578555\t<\t3699924228049265758\n",
-      "   3 True\t3699924228049265758\t<\t4809183815763426470\n",
-      "   4 True\t4809183815763426470\t<\t5872194826607973230\n",
-      "   5 True\t5872194826607973230\t<\t8556836102000056510\n",
-      "   2 False\t8556836102000056510\t>\t2405487053080958902\n",
-      "   2 True\t2405487053080958902\t<\t2743879070693619581\n",
-      "   2 False\t2743879070693619581\t>\t2146181502847354131\n",
-      "   3 False\t2146181502847354131\t>\t978557099860812492\n",
-      "   4 False\t978557099860812492\t>\t504707037832578147\n",
-      "   1 False\t504707037832578147\t=\t504707037832578147\n",
-      "   2 False\t504707037832578147\t>\t21388468049809651\n",
-      "   2 True\t21388468049809651\t<\t5453772071036725637\n",
-      "   3 True\t5453772071036725637\t<\t6972158058927909178\n",
-      "   4 True\t6972158058927909178\t<\t7100142724417935370\n",
-      "   5 True\t7100142724417935370\t<\t8378780177283293852\n",
-      "   6 True\t8378780177283293852\t<\t8518028290042317352\n",
-      "   7 True\t8518028290042317352\t<\t8938317197136004261\n",
-      "   8 True\t8938317197136004261\t<\t9073235292245872897\n",
-      "   9 True\t9073235292245872897\t<\t9092879119712486288\n",
-      "  10 True\t9092879119712486288\t<\t9117550444921383912\n",
-      "  11 True\t9117550444921383912\t<\t9169206278871037331\n",
-      "  12 True\t9169206278871037331\t<\t9216701328644824142\n",
-      "   1 True\t9216701328644824142\t=\t9216701328644824142\n",
-      "   2 False\t9216701328644824142\t>\t3756244073655149432\n",
-      "   3 False\t3756244073655149432\t>\t3686302674941669110\n",
-      "   4 False\t3686302674941669110\t>\t3367931346531234051\n",
-      "   5 False\t3367931346531234051\t>\t2231890705329052884\n",
-      "   6 False\t2231890705329052884\t>\t1825200821594189234\n",
-      "   2 True\t1825200821594189234\t<\t5799470173716954167\n",
-      "   2 False\t5799470173716954167\t>\t1369714087150541163\n",
-      "   3 False\t1369714087150541163\t>\t736981459301682509\n",
-      "   4 False\t736981459301682509\t>\t483075352042281722\n",
-      "   5 False\t483075352042281722\t>\t221935448604955016\n",
-      "   6 False\t221935448604955016\t>\t74444428792189760\n",
-      "   7 False\t74444428792189760\t>\t10352598803756580\n",
-      "   8 False\t10352598803756580\t>\t1667962052742575\n",
-      "   1 False\t1667962052742575\t=\t1667962052742575\n",
-      "   2 True\t1667962052742575\t<\t4190117018389895464\n",
-      "   2 False\t4190117018389895464\t>\t3537327421680246784\n",
-      "   3 False\t3537327421680246784\t>\t2180446028435494694\n",
-      "   4 False\t2180446028435494694\t>\t738765325097871154\n",
-      "   2 True\t738765325097871154\t<\t8341609384062369292\n",
-      "   3 True\t8341609384062369292\t<\t8937902313013930100\n",
-      "   2 False\t8937902313013930100\t>\t305591945608450694\n",
-      "   3 False\t305591945608450694\t>\t19951293138626404\n",
-      "   4 False\t19951293138626404\t>\t9202107409578235\n",
-      "   5 False\t9202107409578235\t>\t3202056999633061\n",
-      "   6 False\t3202056999633061\t>\t1189489091800875\n",
-      "   2 True\t1189489091800875\t<\t7972963205204367947\n",
-      "   2 False\t7972963205204367947\t>\t1874553449082557678\n",
-      "   3 False\t1874553449082557678\t>\t1067463680762693434\n",
-      "   4 False\t1067463680762693434\t>\t296927079984085056\n",
-      "   5 False\t296927079984085056\t>\t247723100027156624\n",
-      "   6 False\t247723100027156624\t>\t155730909670687524\n",
-      "   2 True\t155730909670687524\t<\t6174825446010456177\n",
-      "   3 True\t6174825446010456177\t<\t6956351861766680935\n",
-      "   4 True\t6956351861766680935\t<\t8298599286681410687\n",
-      "   2 False\t8298599286681410687\t>\t2262881614095126621\n",
-      "   3 False\t2262881614095126621\t>\t1914914238983283052\n",
-      "   2 True\t1914914238983283052\t<\t3160912794247023158\n",
-      "   3 True\t3160912794247023158\t<\t6118439929634323619\n",
-      "   4 True\t6118439929634323619\t<\t7535363012878596593\n",
-      "   1 True\t7535363012878596593\t=\t7535363012878596593\n",
-      "   1 True\t7535363012878596593\t=\t7535363012878596593\n",
-      "   2 False\t7535363012878596593\t>\t6060288286982314867\n",
-      "   3 False\t6060288286982314867\t>\t3793904140144806658\n",
-      "   2 True\t3793904140144806658\t<\t8781765688402751379\n",
-      "   3 True\t8781765688402751379\t<\t8816173687225252154\n",
-      "   2 False\t8816173687225252154\t>\t2268355065206081220\n",
-      "   2 True\t2268355065206081220\t<\t8779814776539903281\n",
-      "   2 False\t8779814776539903281\t>\t7675917321974450645\n",
-      "   3 False\t7675917321974450645\t>\t6250996081367037321\n",
-      "   2 True\t6250996081367037321\t<\t8616914965305548134\n",
-      "   3 True\t8616914965305548134\t<\t9120520114737948638\n",
-      "   4 True\t9120520114737948638\t<\t9189920723882220455\n",
-      "   5 True\t9189920723882220455\t<\t9206351120460213237\n",
-      "   2 False\t9206351120460213237\t>\t2488768615427893345\n",
-      "   3 False\t2488768615427893345\t>\t910993375426720372\n",
-      "   4 False\t910993375426720372\t>\t198431906338283871\n",
-      "   5 False\t198431906338283871\t>\t174662515215351592\n",
-      "   6 False\t174662515215351592\t>\t36607540948525681\n",
-      "   7 False\t36607540948525681\t>\t15088985389223308\n",
-      "   8 False\t15088985389223308\t>\t13295584486389249\n",
-      "   2 True\t13295584486389249\t<\t5379373920921433805\n",
-      "   3 True\t5379373920921433805\t<\t6311092292424824355\n",
-      "   4 True\t6311092292424824355\t<\t8929317646914804021\n",
-      "   5 True\t8929317646914804021\t<\t9126846028035453274\n",
-      "   6 True\t9126846028035453274\t<\t9177772707144475107\n",
-      "   7 True\t9177772707144475107\t<\t9209456690548373011\n",
-      "   8 True\t9209456690548373011\t<\t9217828626170877147\n",
-      "   2 False\t9217828626170877147\t>\t5935306597065021608\n",
-      "   3 False\t5935306597065021608\t>\t2250153220012893827\n",
-      "   4 False\t2250153220012893827\t>\t1248551902745275133\n",
-      "   2 True\t1248551902745275133\t<\t7219845192974816352\n",
-      "   3 True\t7219845192974816352\t<\t8508579979387714863\n",
-      "   4 True\t8508579979387714863\t<\t8713698673774419261\n",
-      "   2 False\t8713698673774419261\t>\t7393819088514487233\n",
-      "   3 False\t7393819088514487233\t>\t6672824081450147633\n",
-      "   2 True\t6672824081450147633\t<\t7223838840152891627\n",
-      "   3 True\t7223838840152891627\t<\t8918163790767490280\n",
-      "   4 True\t8918163790767490280\t<\t9014414950165578245\n",
-      "   5 True\t9014414950165578245\t<\t9124701891406550755\n",
-      "   1 True\t9124701891406550755\t=\t9124701891406550755\n",
-      "   2 False\t9124701891406550755\t>\t4042942962574771516\n",
-      "   3 False\t4042942962574771516\t>\t3017158336963655279\n",
-      "   4 False\t3017158336963655279\t>\t1238523611680686521\n",
-      "   5 False\t1238523611680686521\t>\t629391964392977133\n",
-      "   6 False\t629391964392977133\t>\t205599419402145392\n",
-      "   2 True\t205599419402145392\t<\t6266248635259647591\n",
-      "   2 False\t6266248635259647591\t>\t1536265953895780116\n",
-      "   2 True\t1536265953895780116\t<\t3322113762574687561\n",
-      "   3 True\t3322113762574687561\t<\t8399515998216239099\n",
-      "   2 False\t8399515998216239099\t>\t3052382843611266576\n",
-      "   3 False\t3052382843611266576\t>\t2802661077711952459\n",
-      "   4 False\t2802661077711952459\t>\t678493177264778733\n",
-      "   2 True\t678493177264778733\t<\t7933878200942637004\n",
-      "   3 True\t7933878200942637004\t<\t9101831447681435673\n",
-      "   4 True\t9101831447681435673\t<\t9204590139420496211\n",
-      "   5 True\t9204590139420496211\t<\t9220706110852608351\n",
-      "   2 False\t9220706110852608351\t>\t7239198094801435097\n",
-      "   2 True\t7239198094801435097\t<\t8385167420947309948\n",
-      "   3 True\t8385167420947309948\t<\t8453131055142006720\n",
-      "   2 False\t8453131055142006720\t>\t3128817239456036807\n",
-      "   3 False\t3128817239456036807\t>\t4251561013909703\n",
-      "   2 True\t4251561013909703\t<\t220300979385459967\n",
-      "   1 True\t220300979385459967\t=\t220300979385459967\n",
-      "   2 False\t220300979385459967\t>\t3575979857534179\n",
-      "   2 True\t3575979857534179\t<\t8384439029099076940\n",
-      "   3 True\t8384439029099076940\t<\t8557042937903714603\n",
-      "   2 False\t8557042937903714603\t>\t7513864619985246684\n",
-      "   3 False\t7513864619985246684\t>\t5249319297944148189\n",
-      "   4 False\t5249319297944148189\t>\t1264519484124865121\n",
-      "   5 False\t1264519484124865121\t>\t493391304538929058\n",
-      "   6 False\t493391304538929058\t>\t486854929596598521\n",
-      "   1 False\t486854929596598521\t=\t486854929596598521\n",
-      "   2 False\t486854929596598521\t>\t283865315261595107\n",
-      "   1 False\t283865315261595107\t=\t283865315261595107\n",
-      "   2 False\t283865315261595107\t>\t241601903997546392\n",
-      "   3 False\t241601903997546392\t>\t62914386347721479\n",
-      "   4 False\t62914386347721479\t>\t10160615039272996\n",
-      "   5 False\t10160615039272996\t>\t5456918364905408\n",
-      "   1 False\t5456918364905408\t=\t5456918364905408\n",
-      "   2 True\t5456918364905408\t<\t4430066937745716212\n",
-      "   3 True\t4430066937745716212\t<\t5527110570494162482\n",
-      "   2 False\t5527110570494162482\t>\t694262544409272969\n",
-      "   2 True\t694262544409272969\t<\t7942454011679034522\n",
-      "   3 True\t7942454011679034522\t<\t8493593251101188861\n",
-      "   2 False\t8493593251101188861\t>\t1861291960911138894\n",
-      "   1 False\t1861291960911138894\t=\t1861291960911138894\n",
-      "   2 False\t1861291960911138894\t>\t942754888170835822\n",
-      "   2 True\t942754888170835822\t<\t9044054879123236278\n",
-      "   3 True\t9044054879123236278\t<\t9087296097871880908\n",
-      "   4 True\t9087296097871880908\t<\t9202160900607221526\n",
-      "   5 True\t9202160900607221526\t<\t9203381261192445912\n",
-      "   6 True\t9203381261192445912\t<\t9217314264446185351\n",
-      "   7 True\t9217314264446185351\t<\t9218046828975367716\n",
-      "   2 False\t9218046828975367716\t>\t5785606360026657587\n",
-      "   3 False\t5785606360026657587\t>\t835060306597323835\n",
-      "   2 True\t835060306597323835\t<\t2442926817630064434\n",
-      "   2 False\t2442926817630064434\t>\t1775140311660000335\n",
-      "   3 False\t1775140311660000335\t>\t466556594700750344\n",
-      "   2 True\t466556594700750344\t<\t8211630013793520781\n",
-      "   2 False\t8211630013793520781\t>\t2816900132621553277\n",
-      "   2 True\t2816900132621553277\t<\t6804469160747940199\n",
-      "   3 True\t6804469160747940199\t<\t9107134953395031668\n",
-      "   4 True\t9107134953395031668\t<\t9147268965442604245\n",
-      "   2 False\t9147268965442604245\t>\t5885296280994136035\n",
-      "   2 True\t5885296280994136035\t<\t7007318463489513721\n",
-      "   1 True\t7007318463489513721\t=\t7007318463489513721\n",
-      "   2 False\t7007318463489513721\t>\t3794097021739961091\n",
-      "   3 False\t3794097021739961091\t>\t382411000859195704\n",
-      "   4 False\t382411000859195704\t>\t355682345631120041\n",
-      "   2 True\t355682345631120041\t<\t6204222196827785467\n",
-      "   3 True\t6204222196827785467\t<\t9179747880632774292\n",
-      "   2 False\t9179747880632774292\t>\t5700244508596681980\n",
-      "   3 False\t5700244508596681980\t>\t3502496678199996763\n",
-      "   4 False\t3502496678199996763\t>\t359659425524080827\n",
-      "   2 True\t359659425524080827\t<\t1143157037057329244\n",
-      "   3 True\t1143157037057329244\t<\t8876587782325788289\n",
-      "   1 True\t8876587782325788289\t=\t8876587782325788289\n",
-      "   1 True\t8876587782325788289\t=\t8876587782325788289\n",
-      "   2 True\t8876587782325788289\t<\t8878562566180725365\n",
-      "   3 True\t8878562566180725365\t<\t8944613222732081045\n",
-      "   4 True\t8944613222732081045\t<\t9051828729522416180\n",
-      "   2 False\t9051828729522416180\t>\t7388597311060003211\n",
-      "   3 False\t7388597311060003211\t>\t925327954311387979\n",
-      "   4 False\t925327954311387979\t>\t383513590156137657\n",
-      "   5 False\t383513590156137657\t>\t51429643116797610\n",
-      "   6 False\t51429643116797610\t>\t2745207868537679\n",
-      "   2 True\t2745207868537679\t<\t6263051840017678627\n",
-      "   2 False\t6263051840017678627\t>\t4949463579127836672\n",
-      "   3 False\t4949463579127836672\t>\t2709573401147252831\n",
-      "   4 False\t2709573401147252831\t>\t2257559035584787151\n",
-      "   2 True\t2257559035584787151\t<\t6466389326666684227\n",
-      "   3 True\t6466389326666684227\t<\t7449238469072864898\n",
-      "   4 True\t7449238469072864898\t<\t7780888200189844497\n",
-      "   5 True\t7780888200189844497\t<\t9077030412998307244\n",
-      "   6 True\t9077030412998307244\t<\t9135510733651426269\n",
-      "   7 True\t9135510733651426269\t<\t9143764302493284794\n",
-      "   8 True\t9143764302493284794\t<\t9145855127844933926\n",
-      "   9 True\t9145855127844933926\t<\t9202184991181182611\n",
-      "  10 True\t9202184991181182611\t<\t9208736409951007598\n",
-      "  11 True\t9208736409951007598\t<\t9216437535686298418\n",
-      "  12 True\t9216437535686298418\t<\t9222940723680949155\n",
-      "  13 True\t9222940723680949155\t<\t9223059138479681929\n",
-      "   2 False\t9223059138479681929\t>\t7352959253709239964\n",
-      "   1 False\t7352959253709239964\t=\t7352959253709239964\n",
-      "   1 False\t7352959253709239964\t=\t7352959253709239964\n",
-      "   2 False\t7352959253709239964\t>\t914858892925808430\n",
-      "   2 True\t914858892925808430\t<\t6356504412119663090\n",
-      "   3 True\t6356504412119663090\t<\t7188620498451456887\n",
-      "   2 False\t7188620498451456887\t>\t1414139282978860145\n",
-      "   2 True\t1414139282978860145\t<\t4727898280089376719\n",
-      "   2 False\t4727898280089376719\t>\t2161035689083382840\n",
-      "   3 False\t2161035689083382840\t>\t2057971956499491447\n",
-      "   4 False\t2057971956499491447\t>\t1749738869386362141\n",
-      "   2 True\t1749738869386362141\t<\t8898332914655056460\n",
-      "   2 False\t8898332914655056460\t>\t5650345367344018602\n",
-      "   2 True\t5650345367344018602\t<\t7646811261892432657\n",
-      "   3 True\t7646811261892432657\t<\t7977294732363534366\n",
-      "   2 False\t7977294732363534366\t>\t2957368559680979162\n",
-      "   3 False\t2957368559680979162\t>\t460605160154954709\n",
-      "   2 True\t460605160154954709\t<\t4739320890264670704\n",
-      "   3 True\t4739320890264670704\t<\t9188033053338066826\n",
-      "   4 True\t9188033053338066826\t<\t9208492658406404037\n",
-      "   5 True\t9208492658406404037\t<\t9215900000884999004\n",
-      "   6 True\t9215900000884999004\t<\t9220842529710104122\n",
-      "   2 False\t9220842529710104122\t>\t337064250597210661\n",
-      "   2 True\t337064250597210661\t<\t6521460014011705585\n",
-      "   3 True\t6521460014011705585\t<\t8977691691187680689\n",
-      "   4 True\t8977691691187680689\t<\t9122093310038249991\n",
-      "   1 True\t9122093310038249991\t=\t9122093310038249991\n",
-      "   2 True\t9122093310038249991\t<\t9219110928015893281\n",
-      "   3 True\t9219110928015893281\t<\t9222899389191485946\n",
-      "   4 True\t9222899389191485946\t<\t9223233884148444577\n",
-      "   5 True\t9223233884148444577\t<\t9223253998198365453\n",
-      "   6 True\t9223253998198365453\t<\t9223364816771298520\n",
-      "   7 True\t9223364816771298520\t<\t9223366360149457572\n",
-      "   2 False\t9223366360149457572\t>\t6182688500516181826\n",
-      "   2 True\t6182688500516181826\t<\t7738974566064554231\n",
-      "   2 False\t7738974566064554231\t>\t3034968304195443644\n",
-      "   3 False\t3034968304195443644\t>\t568700823412810809\n",
-      "   2 True\t568700823412810809\t<\t1268589506622796791\n",
-      "   3 True\t1268589506622796791\t<\t6421221724195352086\n",
-      "   4 True\t6421221724195352086\t<\t9142349825346903267\n",
-      "   5 True\t9142349825346903267\t<\t9144025473818133122\n",
-      "   2 False\t9144025473818133122\t>\t2401050835438756584\n",
-      "   3 False\t2401050835438756584\t>\t714038793497092033\n",
-      "   4 False\t714038793497092033\t>\t145068206323657682\n",
-      "   5 False\t145068206323657682\t>\t99348115592941193\n",
-      "   1 False\t99348115592941193\t=\t99348115592941193\n",
-      "   2 False\t99348115592941193\t>\t62527528553814983\n",
-      "   3 False\t62527528553814983\t>\t24593865836510029\n",
-      "   4 False\t24593865836510029\t>\t20877296889777455\n",
-      "   2 True\t20877296889777455\t<\t2254537365919428869\n",
-      "   2 False\t2254537365919428869\t>\t513001886995393837\n",
-      "   1 False\t513001886995393837\t=\t513001886995393837\n",
-      "   2 True\t513001886995393837\t<\t8426273534587351777\n",
-      "   3 True\t8426273534587351777\t<\t8731355574337132486\n",
-      "   4 True\t8731355574337132486\t<\t8844070887466053805\n",
-      "   5 True\t8844070887466053805\t<\t9089950442437634522\n",
-      "   2 False\t9089950442437634522\t>\t4776022069595231473\n",
-      "   3 False\t4776022069595231473\t>\t4555347061634864684\n",
-      "   4 False\t4555347061634864684\t>\t1764844440356932891\n",
-      "   2 True\t1764844440356932891\t<\t4598285954788182051\n",
-      "   3 True\t4598285954788182051\t<\t9089262556138801416\n",
-      "   4 True\t9089262556138801416\t<\t9104076049380424956\n",
-      "   2 False\t9104076049380424956\t>\t8608754008634080078\n",
-      "   3 False\t8608754008634080078\t>\t5126092285482915969\n",
-      "   2 True\t5126092285482915969\t<\t6309175039993554255\n",
-      "   3 True\t6309175039993554255\t<\t6830154387014440528\n",
-      "   4 True\t6830154387014440528\t<\t8453196582109276536\n",
-      "   5 True\t8453196582109276536\t<\t8470732724891512408\n",
-      "   2 False\t8470732724891512408\t>\t8425206405765250252\n",
-      "   2 True\t8425206405765250252\t<\t8429190556684203465\n",
-      "   3 True\t8429190556684203465\t<\t9056147201605271942\n",
-      "   4 True\t9056147201605271942\t<\t9098735393177015398\n",
-      "   5 True\t9098735393177015398\t<\t9175466020972458922\n",
-      "   6 True\t9175466020972458922\t<\t9203885547341013708\n",
-      "   7 True\t9203885547341013708\t<\t9215562058710844656\n",
-      "   8 True\t9215562058710844656\t<\t9217552182586998227\n",
-      "   1 True\t9217552182586998227\t=\t9217552182586998227\n",
-      "   2 False\t9217552182586998227\t>\t1410335198304963577\n",
-      "   3 False\t1410335198304963577\t>\t624074572789619974\n",
-      "   1 False\t624074572789619974\t=\t624074572789619974\n",
-      "   2 False\t624074572789619974\t>\t18523492125295705\n",
-      "   3 False\t18523492125295705\t>\t10343005944882330\n",
-      "   4 False\t10343005944882330\t>\t4333047940049418\n",
-      "   5 False\t4333047940049418\t>\t2294808755954419\n",
-      "   2 True\t2294808755954419\t<\t4565988116546682367\n",
-      "   3 True\t4565988116546682367\t<\t4697371383703692127\n",
-      "   2 False\t4697371383703692127\t>\t1939350118267469833\n",
-      "   2 True\t1939350118267469833\t<\t5268217343201663689\n",
-      "   2 False\t5268217343201663689\t>\t4434472382106493543\n",
-      "   2 True\t4434472382106493543\t<\t5888571054451212387\n",
-      "   2 False\t5888571054451212387\t>\t5395349825603238471\n",
-      "   3 False\t5395349825603238471\t>\t1080030484916441335\n",
-      "   1 False\t1080030484916441335\t=\t1080030484916441335\n",
-      "   2 False\t1080030484916441335\t>\t273331104235748864\n",
-      "   3 False\t273331104235748864\t>\t58437489988129689\n",
-      "   4 False\t58437489988129689\t>\t18294288898592905\n",
-      "   5 False\t18294288898592905\t>\t15704321882234406\n",
-      "   1 False\t15704321882234406\t=\t15704321882234406\n",
-      "   2 False\t15704321882234406\t>\t10998530154310882\n",
-      "   3 False\t10998530154310882\t>\t1564759985196776\n",
-      "   4 False\t1564759985196776\t>\t590913074103484\n",
-      "   5 False\t590913074103484\t>\t145647540142591\n",
-      "   6 False\t145647540142591\t>\t36130349272359\n",
-      "   7 False\t36130349272359\t>\t24717953834001\n",
-      "   8 False\t24717953834001\t>\t15894758123268\n",
-      "   2 True\t15894758123268\t<\t2430223124090494710\n",
-      "   2 False\t2430223124090494710\t>\t291755876675395427\n",
-      "   2 True\t291755876675395427\t<\t9120083305527318654\n",
-      "   3 True\t9120083305527318654\t<\t9219477687135833404\n",
-      "   4 True\t9219477687135833404\t<\t9221935279280557803\n",
-      "   2 False\t9221935279280557803\t>\t6567585096838409582\n",
-      "   2 True\t6567585096838409582\t<\t7741277495182151594\n",
-      "   3 True\t7741277495182151594\t<\t8896853872222845766\n",
-      "   2 False\t8896853872222845766\t>\t8237292752747345654\n",
-      "   3 False\t8237292752747345654\t>\t6115400286013239715\n",
-      "   4 False\t6115400286013239715\t>\t5186755252836612099\n",
-      "   5 False\t5186755252836612099\t>\t4659966962952753775\n",
-      "   6 False\t4659966962952753775\t>\t2871340431468219463\n",
-      "   7 False\t2871340431468219463\t>\t854348839055530448\n",
-      "   2 True\t854348839055530448\t<\t1215826833024249911\n",
-      "   2 False\t1215826833024249911\t>\t30987660823111938\n",
-      "   3 False\t30987660823111938\t>\t27518396570328769\n",
-      "   2 True\t27518396570328769\t<\t8982007132094430292\n",
-      "   3 True\t8982007132094430292\t<\t9052307052087409214\n",
-      "   2 False\t9052307052087409214\t>\t5182637619577986100\n",
-      "   3 False\t5182637619577986100\t>\t2057505580071330974\n",
-      "   2 True\t2057505580071330974\t<\t5813336221444812263\n",
-      "   2 False\t5813336221444812263\t>\t1800169286172269382\n",
-      "   2 True\t1800169286172269382\t<\t4718384606242064524\n",
-      "   3 True\t4718384606242064524\t<\t8967865242622880392\n",
-      "   4 True\t8967865242622880392\t<\t9206244407087432584\n",
-      "   5 True\t9206244407087432584\t<\t9220421243715001690\n",
-      "   6 True\t9220421243715001690\t<\t9222722679407212396\n",
-      "   2 False\t9222722679407212396\t>\t1463467040148311990\n",
-      "   2 True\t1463467040148311990\t<\t7704251724748266321\n",
-      "   3 True\t7704251724748266321\t<\t8973068578615005720\n",
-      "   2 False\t8973068578615005720\t>\t8434360392076162578\n",
-      "   3 False\t8434360392076162578\t>\t3292654331929440731\n",
-      "   4 False\t3292654331929440731\t>\t1804842962716360635\n",
-      "   5 False\t1804842962716360635\t>\t224415511090482749\n",
-      "   6 False\t224415511090482749\t>\t144194768828549659\n",
-      "   7 False\t144194768828549659\t>\t62690530179352831\n",
-      "   2 True\t62690530179352831\t<\t5746978257115019866\n",
-      "   3 True\t5746978257115019866\t<\t8076664079907869885\n",
-      "   4 True\t8076664079907869885\t<\t9132972535257492568\n",
-      "   5 True\t9132972535257492568\t<\t9137250868829621092\n",
-      "   6 True\t9137250868829621092\t<\t9156938767716848168\n",
-      "   7 True\t9156938767716848168\t<\t9204504057239719714\n",
-      "   8 True\t9204504057239719714\t<\t9206820791104856943\n",
-      "   9 True\t9206820791104856943\t<\t9216467519810018901\n",
-      "   2 False\t9216467519810018901\t>\t4851646505767778131\n",
-      "   3 False\t4851646505767778131\t>\t3087443782505230101\n",
-      "   4 False\t3087443782505230101\t>\t1665409155775150151\n",
-      "   5 False\t1665409155775150151\t>\t46922276536189052\n",
-      "   6 False\t46922276536189052\t>\t43150908171617503\n",
-      "   7 False\t43150908171617503\t>\t28864484948980093\n",
-      "   8 False\t28864484948980093\t>\t21076752622802789\n",
-      "   9 False\t21076752622802789\t>\t8005215962352055\n",
-      "  10 False\t8005215962352055\t>\t958754170825372\n",
-      "  11 False\t958754170825372\t>\t562016204478868\n",
-      "   2 True\t562016204478868\t<\t289496474795882589\n",
-      "   3 True\t289496474795882589\t<\t5924693961255604100\n",
-      "   2 False\t5924693961255604100\t>\t5871614287323349145\n",
-      "   3 False\t5871614287323349145\t>\t5270684222159702571\n",
-      "   1 False\t5270684222159702571\t=\t5270684222159702571\n",
-      "   2 True\t5270684222159702571\t<\t5535704227770075311\n",
-      "   3 True\t5535704227770075311\t<\t7190692669319572867\n",
-      "   4 True\t7190692669319572867\t<\t7759959402651820921\n",
-      "   2 False\t7759959402651820921\t>\t5435134160421681625\n",
-      "   3 False\t5435134160421681625\t>\t2524748607093135498\n",
-      "   2 True\t2524748607093135498\t<\t4125137229213619719\n",
-      "   3 True\t4125137229213619719\t<\t7435163124556686818\n",
-      "   4 True\t7435163124556686818\t<\t8139998924060774659\n",
-      "   5 True\t8139998924060774659\t<\t8881025214521863453\n",
-      "   2 False\t8881025214521863453\t>\t7112371835488479215\n",
-      "   3 False\t7112371835488479215\t>\t1615886060823403404\n",
-      "   4 False\t1615886060823403404\t>\t919914947778354199\n",
-      "   5 False\t919914947778354199\t>\t528051027680284110\n",
-      "   2 True\t528051027680284110\t<\t5256509407363925191\n",
-      "   3 True\t5256509407363925191\t<\t9154522459128930989\n",
-      "   2 False\t9154522459128930989\t>\t66233315545717874\n",
-      "   3 False\t66233315545717874\t>\t62503417162328774\n",
-      "   4 False\t62503417162328774\t>\t49535803410685384\n",
-      "   5 False\t49535803410685384\t>\t17621625862559944\n",
-      "   6 False\t17621625862559944\t>\t1515610567973003\n",
-      "   7 False\t1515610567973003\t>\t701776017913901\n",
-      "   8 False\t701776017913901\t>\t275041104075171\n",
-      "   9 False\t275041104075171\t>\t167043454417908\n",
-      "   1 False\t167043454417908\t=\t167043454417908\n",
-      "   2 False\t167043454417908\t>\t58803239647401\n",
-      "   2 True\t58803239647401\t<\t8487877102198174683\n",
-      "   2 False\t8487877102198174683\t>\t288482717903154996\n",
-      "   2 True\t288482717903154996\t<\t8308312233455631764\n",
-      "   2 False\t8308312233455631764\t>\t3826912239022162279\n",
-      "   3 False\t3826912239022162279\t>\t149913580920215363\n",
-      "   4 False\t149913580920215363\t>\t35355885586189362\n",
-      "   5 False\t35355885586189362\t>\t7414463522979482\n",
-      "   6 False\t7414463522979482\t>\t218281368487166\n",
-      "   7 False\t218281368487166\t>\t162942082756765\n",
-      "   2 True\t162942082756765\t<\t1326780394019481049\n",
-      "   3 True\t1326780394019481049\t<\t4678512153098534924\n",
-      "   2 False\t4678512153098534924\t>\t576420551090666260\n",
-      "   3 False\t576420551090666260\t>\t424761104246910583\n",
-      "   4 False\t424761104246910583\t>\t236255036412926468\n",
-      "   5 False\t236255036412926468\t>\t68564021996231790\n",
-      "   6 False\t68564021996231790\t>\t51295048817953659\n",
-      "   7 False\t51295048817953659\t>\t49806776873287098\n",
-      "   1 False\t49806776873287098\t=\t49806776873287098\n",
-      "   2 False\t49806776873287098\t>\t46424753610952826\n",
-      "   3 False\t46424753610952826\t>\t12139462352172073\n",
-      "   1 False\t12139462352172073\t=\t12139462352172073\n",
-      "   2 False\t12139462352172073\t>\t4757921522121524\n",
-      "   3 False\t4757921522121524\t>\t3458951292915967\n",
-      "   4 False\t3458951292915967\t>\t1395567874285224\n",
-      "   5 False\t1395567874285224\t>\t120847134429707\n",
-      "   6 False\t120847134429707\t>\t65321782372136\n",
-      "   7 False\t65321782372136\t>\t56650813931909\n",
-      "   8 False\t56650813931909\t>\t27541817569424\n",
-      "   2 True\t27541817569424\t<\t2393656265895650809\n",
-      "   3 True\t2393656265895650809\t<\t4273433883663517579\n",
-      "   4 True\t4273433883663517579\t<\t8853419798353802136\n",
-      "   2 False\t8853419798353802136\t>\t5671394317788955573\n",
-      "   3 False\t5671394317788955573\t>\t4949020675076029523\n",
-      "   2 True\t4949020675076029523\t<\t5136126954996956124\n",
-      "   2 False\t5136126954996956124\t>\t3056482244098510359\n",
-      "   3 False\t3056482244098510359\t>\t1868575960509551856\n",
-      "   4 False\t1868575960509551856\t>\t292076093531576096\n",
-      "   5 False\t292076093531576096\t>\t208028314223321365\n",
-      "   1 False\t208028314223321365\t=\t208028314223321365\n",
-      "   2 True\t208028314223321365\t<\t361967342864466249\n",
-      "   2 False\t361967342864466249\t>\t271836470655376290\n",
-      "   3 False\t271836470655376290\t>\t233266605535198234\n",
-      "   2 True\t233266605535198234\t<\t6772916268152290484\n",
-      "   3 True\t6772916268152290484\t<\t6915233384287800524\n",
-      "   4 True\t6915233384287800524\t<\t8057928041253382359\n",
-      "   2 False\t8057928041253382359\t>\t4072659835793334692\n",
-      "   2 True\t4072659835793334692\t<\t7499063027388825586\n",
-      "   3 True\t7499063027388825586\t<\t9026132580779350349\n",
-      "   2 False\t9026132580779350349\t>\t748356444493788435\n",
-      "   2 True\t748356444493788435\t<\t3262271231177328882\n",
-      "   3 True\t3262271231177328882\t<\t3537658064138465584\n",
-      "   4 True\t3537658064138465584\t<\t8998572710861333272\n",
-      "   2 False\t8998572710861333272\t>\t6161792875635695829\n",
-      "   3 False\t6161792875635695829\t>\t1122811370757817645\n",
-      "   4 False\t1122811370757817645\t>\t898446239229590165\n",
-      "   2 True\t898446239229590165\t<\t2692822461891284039\n",
-      "   2 False\t2692822461891284039\t>\t967183145609582815\n",
-      "   2 True\t967183145609582815\t<\t6094257307232327416\n",
-      "   3 True\t6094257307232327416\t<\t8677610327185217977\n",
-      "   4 True\t8677610327185217977\t<\t8839369721966536419\n",
-      "   1 True\t8839369721966536419\t=\t8839369721966536419\n",
-      "   2 False\t8839369721966536419\t>\t5496542562078235845\n",
-      "   3 False\t5496542562078235845\t>\t3001537132933569053\n",
-      "   4 False\t3001537132933569053\t>\t2238998211666692056\n",
-      "   2 True\t2238998211666692056\t<\t5479362510166138039\n",
-      "   3 True\t5479362510166138039\t<\t6083634014311587255\n",
-      "   4 True\t6083634014311587255\t<\t8367902123909424974\n",
-      "   5 True\t8367902123909424974\t<\t8825531005571860384\n",
-      "   6 True\t8825531005571860384\t<\t9096729065495479264\n",
-      "   7 True\t9096729065495479264\t<\t9197366737728182390\n",
-      "   2 False\t9197366737728182390\t>\t1931000378698493519\n",
-      "   2 True\t1931000378698493519\t<\t6585353888360454295\n",
-      "   3 True\t6585353888360454295\t<\t7743062929567897119\n",
-      "   4 True\t7743062929567897119\t<\t9012722528694690746\n",
-      "   2 False\t9012722528694690746\t>\t1532516985077128142\n",
-      "   3 False\t1532516985077128142\t>\t1083109817702603728\n",
-      "   4 False\t1083109817702603728\t>\t955437820913818816\n",
-      "   5 False\t955437820913818816\t>\t502018177995990436\n",
-      "   6 False\t502018177995990436\t>\t152570453996952325\n",
-      "   7 False\t152570453996952325\t>\t50627054858202921\n",
-      "   2 True\t50627054858202921\t<\t8078524281244839133\n",
-      "   1 True\t8078524281244839133\t=\t8078524281244839133\n",
-      "   2 True\t8078524281244839133\t<\t9144281734876037502\n",
-      "   1 True\t9144281734876037502\t=\t9144281734876037502\n",
-      "   2 False\t9144281734876037502\t>\t4514025356390840179\n",
-      "   2 True\t4514025356390840179\t<\t8348859070318831086\n",
-      "   3 True\t8348859070318831086\t<\t8913170011585521879\n",
-      "   2 False\t8913170011585521879\t>\t4161650550899698128\n",
-      "   3 False\t4161650550899698128\t>\t2035164336015893546\n",
-      "   2 True\t2035164336015893546\t<\t4898297630911786697\n",
-      "   3 True\t4898297630911786697\t<\t5551931250303120578\n",
-      "   4 True\t5551931250303120578\t<\t7963453151726885205\n",
-      "   2 False\t7963453151726885205\t>\t4700484721760208328\n",
-      "   3 False\t4700484721760208328\t>\t1078546046159244023\n",
-      "   4 False\t1078546046159244023\t>\t12841734586646073\n",
-      "   5 False\t12841734586646073\t>\t10341247976591834\n",
-      "   2 True\t10341247976591834\t<\t4144740815990947315\n",
-      "   3 True\t4144740815990947315\t<\t5852652960824080179\n",
-      "   4 True\t5852652960824080179\t<\t8056308441671197016\n",
-      "   5 True\t8056308441671197016\t<\t9090819845757657320\n",
-      "   2 False\t9090819845757657320\t>\t6920915576930044389\n",
-      "   3 False\t6920915576930044389\t>\t2567169167993314764\n",
-      "   4 False\t2567169167993314764\t>\t2477276558288186731\n",
-      "   2 True\t2477276558288186731\t<\t6977640813893132165\n",
-      "   3 True\t6977640813893132165\t<\t8508926459564135906\n",
-      "   4 True\t8508926459564135906\t<\t8609173466913743599\n",
-      "   5 True\t8609173466913743599\t<\t8909815167480357686\n",
-      "   6 True\t8909815167480357686\t<\t9200494826595595122\n",
-      "   7 True\t9200494826595595122\t<\t9220747819007000936\n",
-      "   2 False\t9220747819007000936\t>\t6847789372648160832\n",
-      "   3 False\t6847789372648160832\t>\t743205239180640238\n",
-      "   4 False\t743205239180640238\t>\t250096685307643838\n",
-      "   5 False\t250096685307643838\t>\t99071377348940546\n",
-      "   6 False\t99071377348940546\t>\t36110368700020209\n",
-      "   7 False\t36110368700020209\t>\t17450200035704138\n",
-      "   8 False\t17450200035704138\t>\t11558179362576783\n",
-      "   2 True\t11558179362576783\t<\t7417004784579248444\n",
-      "   3 True\t7417004784579248444\t<\t7571851947909671587\n",
-      "   4 True\t7571851947909671587\t<\t9107747695507923521\n",
-      "   5 True\t9107747695507923521\t<\t9221068283141516203\n",
-      "   6 True\t9221068283141516203\t<\t9221483669454854737\n",
-      "   7 True\t9221483669454854737\t<\t9222574175735246202\n",
-      "   8 True\t9222574175735246202\t<\t9222818062893177108\n",
-      "   9 True\t9222818062893177108\t<\t9223144022086381796\n",
-      "  10 True\t9223144022086381796\t<\t9223165489243159565\n",
-      "  11 True\t9223165489243159565\t<\t9223362664416182622\n",
-      "  12 True\t9223362664416182622\t<\t9223363341864515003\n",
-      "  13 True\t9223363341864515003\t<\t9223369223963897633\n",
-      "   2 False\t9223369223963897633\t>\t243208801626689840\n",
-      "   3 False\t243208801626689840\t>\t201409199870648886\n",
-      "   2 True\t201409199870648886\t<\t1589905314287928011\n",
-      "   3 True\t1589905314287928011\t<\t5795805562020141187\n",
-      "   2 False\t5795805562020141187\t>\t2571731446539152018\n",
-      "   3 False\t2571731446539152018\t>\t1758685416503819640\n",
-      "   4 False\t1758685416503819640\t>\t837785188145145800\n",
-      "   5 False\t837785188145145800\t>\t58498039158081744\n",
-      "   6 False\t58498039158081744\t>\t10659584934273911\n",
-      "   7 False\t10659584934273911\t>\t2289659531110096\n",
-      "   8 False\t2289659531110096\t>\t1689002949911601\n",
-      "   9 False\t1689002949911601\t>\t1103833752737777\n",
-      "  10 False\t1103833752737777\t>\t431529746850746\n",
-      "  11 False\t431529746850746\t>\t406822904941228\n",
-      "  12 False\t406822904941228\t>\t184661461346333\n",
-      "  13 False\t184661461346333\t>\t139565152047422\n",
-      "   2 True\t139565152047422\t<\t5320257609025070644\n",
-      "   1 True\t5320257609025070644\t=\t5320257609025070644\n",
-      "   2 True\t5320257609025070644\t<\t6246705318638212345\n",
-      "   3 True\t6246705318638212345\t<\t8381349859295250211\n",
-      "   4 True\t8381349859295250211\t<\t8887894423958760055\n",
-      "   2 False\t8887894423958760055\t>\t1459030390759807672\n",
-      "   2 True\t1459030390759807672\t<\t1819141583428579715\n",
-      "   3 True\t1819141583428579715\t<\t7520287949947670073\n",
-      "   2 False\t7520287949947670073\t>\t5602154592417432550\n",
-      "   3 False\t5602154592417432550\t>\t3390034106318806046\n",
-      "   1 False\t3390034106318806046\t=\t3390034106318806046\n",
-      "   2 True\t3390034106318806046\t<\t9161612464328670307\n",
-      "   3 True\t9161612464328670307\t<\t9177078873056396858\n",
-      "   2 False\t9177078873056396858\t>\t4199610817881973692\n",
-      "   2 True\t4199610817881973692\t<\t5327722109788251495\n",
-      "   3 True\t5327722109788251495\t<\t8998530989030617336\n",
-      "   4 True\t8998530989030617336\t<\t9122581679691001946\n",
-      "   5 True\t9122581679691001946\t<\t9175124099396153311\n",
-      "   2 False\t9175124099396153311\t>\t8598438056464228355\n",
-      "   1 False\t8598438056464228355\t=\t8598438056464228355\n",
-      "   1 False\t8598438056464228355\t=\t8598438056464228355\n",
-      "   2 True\t8598438056464228355\t<\t9084513110050208127\n",
-      "   3 True\t9084513110050208127\t<\t9173529057883200682\n",
-      "   4 True\t9173529057883200682\t<\t9220972163340990300\n",
-      "   2 False\t9220972163340990300\t>\t1493343374630085809\n",
-      "   3 False\t1493343374630085809\t>\t110525918157766744\n",
-      "   4 False\t110525918157766744\t>\t107361248220637066\n",
-      "   2 True\t107361248220637066\t<\t3275029321188197969\n",
-      "   3 True\t3275029321188197969\t<\t4324434606726347988\n",
-      "   2 False\t4324434606726347988\t>\t99054364437986131\n",
-      "   3 False\t99054364437986131\t>\t26428354436375142\n",
-      "   4 False\t26428354436375142\t>\t19750722491942978\n",
-      "   5 False\t19750722491942978\t>\t4784626050126662\n",
-      "   2 True\t4784626050126662\t<\t6251621913066549380\n",
-      "   3 True\t6251621913066549380\t<\t7936403081362827230\n",
-      "   2 False\t7936403081362827230\t>\t7910361587061167475\n",
-      "   3 False\t7910361587061167475\t>\t595990526766246582\n",
-      "   4 False\t595990526766246582\t>\t535806604722594188\n",
-      "   5 False\t535806604722594188\t>\t358740887291737544\n",
-      "   6 False\t358740887291737544\t>\t215123055061211867\n",
-      "   1 False\t215123055061211867\t=\t215123055061211867\n",
-      "   2 False\t215123055061211867\t>\t192534472765783843\n",
-      "   3 False\t192534472765783843\t>\t20703350898776429\n",
-      "   4 False\t20703350898776429\t>\t12425668678294271\n",
-      "   2 True\t12425668678294271\t<\t253442797474354253\n",
-      "   3 True\t253442797474354253\t<\t5107764445733392397\n",
-      "   2 False\t5107764445733392397\t>\t429179814933853862\n",
-      "   3 False\t429179814933853862\t>\t372248824590658994\n",
-      "   4 False\t372248824590658994\t>\t146800486989221214\n",
-      "   2 True\t146800486989221214\t<\t4617668538152438256\n",
-      "   3 True\t4617668538152438256\t<\t8126606553434729898\n",
-      "   2 False\t8126606553434729898\t>\t6089281254474349033\n",
-      "   3 False\t6089281254474349033\t>\t5546934604708810494\n",
-      "   4 False\t5546934604708810494\t>\t4490457407984659257\n",
-      "   2 True\t4490457407984659257\t<\t6073306986094771679\n",
-      "   2 False\t6073306986094771679\t>\t2729282785233355425\n",
-      "   2 True\t2729282785233355425\t<\t4038154897814263403\n",
-      "   2 False\t4038154897814263403\t>\t2233247048238816248\n",
-      "   2 True\t2233247048238816248\t<\t3043975423439781292\n",
-      "   3 True\t3043975423439781292\t<\t5534913829494370364\n",
-      "   4 True\t5534913829494370364\t<\t8928704582146258022\n",
-      "   5 True\t8928704582146258022\t<\t9156252916514001628\n",
-      "   6 True\t9156252916514001628\t<\t9175657746117269945\n",
-      "   2 False\t9175657746117269945\t>\t6475364252349213787\n",
-      "   3 False\t6475364252349213787\t>\t6278490205325155242\n",
-      "   2 True\t6278490205325155242\t<\t7127236214310656085\n",
-      "   2 False\t7127236214310656085\t>\t5438034960189372592\n",
-      "   3 False\t5438034960189372592\t>\t1812190390993915527\n",
-      "   2 True\t1812190390993915527\t<\t3043769763370464602\n",
-      "   2 False\t3043769763370464602\t>\t650969390840939959\n",
-      "   3 False\t650969390840939959\t>\t555016951953653566\n",
-      "   2 True\t555016951953653566\t<\t5059735668167387707\n",
-      "   2 False\t5059735668167387707\t>\t3183181727543773683\n",
-      "   3 False\t3183181727543773683\t>\t1595353900292225227\n",
-      "   2 True\t1595353900292225227\t<\t5554258547041493091\n",
-      "   3 True\t5554258547041493091\t<\t7395070841873383150\n",
-      "   4 True\t7395070841873383150\t<\t9200831677285325927\n",
-      "   2 False\t9200831677285325927\t>\t8857133452294823949\n",
-      "   3 False\t8857133452294823949\t>\t7961410242037317822\n",
-      "   2 True\t7961410242037317822\t<\t8277008932707047106\n",
-      "   2 False\t8277008932707047106\t>\t2950636793511995362\n",
-      "   3 False\t2950636793511995362\t>\t1562781227334541386\n",
-      "   2 True\t1562781227334541386\t<\t4939448654474459879\n",
-      "   3 True\t4939448654474459879\t<\t9014254266936639610\n",
-      "   2 False\t9014254266936639610\t>\t5015274082801514015\n",
-      "   1 False\t5015274082801514015\t=\t5015274082801514015\n",
-      "   2 False\t5015274082801514015\t>\t2891445955191362180\n",
-      "   2 True\t2891445955191362180\t<\t8300579499542174603\n",
-      "   3 True\t8300579499542174603\t<\t8311424116891805011\n",
-      "   4 True\t8311424116891805011\t<\t8631802947201420893\n",
-      "   5 True\t8631802947201420893\t<\t8664806388089640635\n",
-      "   2 False\t8664806388089640635\t>\t5558159224256562300\n",
-      "   2 True\t5558159224256562300\t<\t8539378502589877007\n",
-      "   3 True\t8539378502589877007\t<\t8663597543934682764\n",
-      "   2 False\t8663597543934682764\t>\t7668317325274234930\n",
-      "   3 False\t7668317325274234930\t>\t1230475509305150042\n",
-      "   4 False\t1230475509305150042\t>\t458033788464737830\n",
-      "   5 False\t458033788464737830\t>\t131417872578824499\n",
-      "   6 False\t131417872578824499\t>\t13071927559707790\n",
-      "   2 True\t13071927559707790\t<\t3145698627924875604\n",
-      "   3 True\t3145698627924875604\t<\t6849815365629907699\n",
-      "   2 False\t6849815365629907699\t>\t1273186950681159625\n",
-      "   1 False\t1273186950681159625\t=\t1273186950681159625\n",
-      "   2 False\t1273186950681159625\t>\t605521887883612116\n",
-      "   1 False\t605521887883612116\t=\t605521887883612116\n",
-      "   2 False\t605521887883612116\t>\t76978433825257189\n",
-      "   3 False\t76978433825257189\t>\t20678827960237061\n",
-      "   2 True\t20678827960237061\t<\t4022398170563947281\n",
-      "   3 True\t4022398170563947281\t<\t5094170974175916923\n",
-      "   4 True\t5094170974175916923\t<\t7625128161983882619\n",
-      "   5 True\t7625128161983882619\t<\t7951404875046777194\n",
-      "   6 True\t7951404875046777194\t<\t8066677787685317359\n",
-      "   7 True\t8066677787685317359\t<\t8988024585266669238\n",
-      "   8 True\t8988024585266669238\t<\t9203318304168326393\n",
-      "   9 True\t9203318304168326393\t<\t9218456278822721138\n",
-      "   2 False\t9218456278822721138\t>\t8327426307572844386\n",
-      "   2 True\t8327426307572844386\t<\t8608886802255452083\n",
-      "   2 False\t8608886802255452083\t>\t7076513578405825675\n",
-      "   2 True\t7076513578405825675\t<\t8605488321882758431\n",
-      "   2 False\t8605488321882758431\t>\t6786307815361554103\n",
-      "   2 True\t6786307815361554103\t<\t6852365600702124305\n",
-      "   3 True\t6852365600702124305\t<\t7085014167008112352\n",
-      "   4 True\t7085014167008112352\t<\t7415962569339774683\n",
-      "   5 True\t7415962569339774683\t<\t8700819706859048249\n",
-      "   6 True\t8700819706859048249\t<\t8992999607219529654\n",
-      "   2 False\t8992999607219529654\t>\t6898888115152411496\n",
-      "   3 False\t6898888115152411496\t>\t487265172781372392\n",
-      "   4 False\t487265172781372392\t>\t215178170785624343\n",
-      "   5 False\t215178170785624343\t>\t60149617330072177\n",
-      "   6 False\t60149617330072177\t>\t57788167169189566\n",
-      "   2 True\t57788167169189566\t<\t4680116298755192313\n",
-      "   2 False\t4680116298755192313\t>\t3220788511727515756\n",
-      "   3 False\t3220788511727515756\t>\t1342239769196111185\n",
-      "   4 False\t1342239769196111185\t>\t1334592080672484974\n",
-      "   5 False\t1334592080672484974\t>\t443686618713491846\n",
-      "   2 True\t443686618713491846\t<\t2690964062944490034\n",
-      "   2 False\t2690964062944490034\t>\t1597967919745017144\n",
-      "   2 True\t1597967919745017144\t<\t6459209829927257730\n",
-      "   2 False\t6459209829927257730\t>\t1372022926853180453\n",
-      "   3 False\t1372022926853180453\t>\t952481877015782683\n",
-      "   1 False\t952481877015782683\t=\t952481877015782683\n",
-      "   2 True\t952481877015782683\t<\t3908598697555898112\n",
-      "   3 True\t3908598697555898112\t<\t8468521100505680248\n",
-      "   2 False\t8468521100505680248\t>\t1052615726094308684\n",
-      "   3 False\t1052615726094308684\t>\t799697367875015027\n",
-      "   4 False\t799697367875015027\t>\t263819844762716129\n",
-      "   5 False\t263819844762716129\t>\t9363127997407030\n",
-      "   6 False\t9363127997407030\t>\t6051994120531941\n",
-      "   7 False\t6051994120531941\t>\t3887539012087940\n",
-      "   8 False\t3887539012087940\t>\t21630168549757\n",
-      "   9 False\t21630168549757\t>\t18191606365476\n",
-      "  10 False\t18191606365476\t>\t9748852868101\n",
-      "  11 False\t9748852868101\t>\t6530276395072\n",
-      "  12 False\t6530276395072\t>\t3586185978593\n",
-      "  13 False\t3586185978593\t>\t334441135100\n",
-      "   2 True\t334441135100\t<\t2448567215734965874\n",
-      "   2 False\t2448567215734965874\t>\t565427023604201691\n",
-      "   3 False\t565427023604201691\t>\t542560343862865562\n",
-      "   2 True\t542560343862865562\t<\t855983621418171816\n",
-      "   3 True\t855983621418171816\t<\t8390251562175300816\n",
-      "   2 False\t8390251562175300816\t>\t2216937185591960741\n",
-      "   3 False\t2216937185591960741\t>\t1011373866808043430\n",
-      "   4 False\t1011373866808043430\t>\t561639877169527894\n",
-      "   5 False\t561639877169527894\t>\t484464849577716166\n",
-      "   6 False\t484464849577716166\t>\t171640508195264240\n",
-      "   7 False\t171640508195264240\t>\t142344586907050016\n",
-      "   8 False\t142344586907050016\t>\t101784599117526268\n",
-      "   2 True\t101784599117526268\t<\t2628646605165535399\n",
-      "   3 True\t2628646605165535399\t<\t8059326798684971494\n",
-      "   2 False\t8059326798684971494\t>\t7584644993670023613\n",
-      "   2 True\t7584644993670023613\t<\t8741410039800004187\n",
-      "   2 False\t8741410039800004187\t>\t3478577421119599279\n",
-      "   3 False\t3478577421119599279\t>\t1876294740600285351\n",
-      "   4 False\t1876294740600285351\t>\t1586124372848035280\n",
-      "   5 False\t1586124372848035280\t>\t1244090048786890685\n",
-      "   6 False\t1244090048786890685\t>\t1085160508776087774\n",
-      "   7 False\t1085160508776087774\t>\t12285930840529459\n",
-      "   8 False\t12285930840529459\t>\t6694528981739884\n",
-      "   2 True\t6694528981739884\t<\t5240182386363752005\n",
-      "   3 True\t5240182386363752005\t<\t7551009246831198051\n",
-      "   4 True\t7551009246831198051\t<\t7620858648231028493\n",
-      "   5 True\t7620858648231028493\t<\t8761641554975275244\n",
-      "   2 False\t8761641554975275244\t>\t8651727818699346212\n",
-      "   2 True\t8651727818699346212\t<\t9149959175731112172\n",
-      "   3 True\t9149959175731112172\t<\t9161454208000468971\n",
-      "   4 True\t9161454208000468971\t<\t9182651739205440184\n",
-      "   2 False\t9182651739205440184\t>\t1788757952014290492\n",
-      "   3 False\t1788757952014290492\t>\t1459173835825024595\n",
-      "   4 False\t1459173835825024595\t>\t136268224985981204\n",
-      "   2 True\t136268224985981204\t<\t8056513724629158596\n",
-      "   2 False\t8056513724629158596\t>\t7868706375040184206\n",
-      "   3 False\t7868706375040184206\t>\t3381432003253037960\n",
-      "   4 False\t3381432003253037960\t>\t406994704360068006\n",
-      "   2 True\t406994704360068006\t<\t2846131070951718553\n",
-      "   2 False\t2846131070951718553\t>\t616885908620790761\n",
-      "   3 False\t616885908620790761\t>\t102582521390055850\n",
-      "   4 False\t102582521390055850\t>\t24209498108723150\n",
-      "   5 False\t24209498108723150\t>\t17013257000039094\n",
-      "   6 False\t17013257000039094\t>\t3410084692272404\n",
-      "   7 False\t3410084692272404\t>\t2119064882882855\n",
-      "   8 False\t2119064882882855\t>\t340819933111344\n",
-      "   9 False\t340819933111344\t>\t168621307998719\n",
-      "   2 True\t168621307998719\t<\t277180804638839875\n",
-      "   2 False\t277180804638839875\t>\t266209446022259272\n",
-      "   3 False\t266209446022259272\t>\t109866963525912684\n",
-      "   2 True\t109866963525912684\t<\t1346793191831812206\n",
-      "   2 False\t1346793191831812206\t>\t159013741463045903\n",
-      "   2 True\t159013741463045903\t<\t2736492585322486722\n",
-      "   2 False\t2736492585322486722\t>\t2491845554270263492\n",
-      "   2 True\t2491845554270263492\t<\t7927896620682562504\n",
-      "   3 True\t7927896620682562504\t<\t7951010446394259946\n",
-      "   4 True\t7951010446394259946\t<\t8685785960107812251\n",
-      "   2 False\t8685785960107812251\t>\t2675315159292618604\n",
-      "   2 True\t2675315159292618604\t<\t3889989266602444904\n",
-      "   2 False\t3889989266602444904\t>\t3004466923461887150\n",
-      "   3 False\t3004466923461887150\t>\t2465924104151955713\n",
-      "   4 False\t2465924104151955713\t>\t1526968025226478242\n",
-      "   5 False\t1526968025226478242\t>\t988113107905691013\n",
-      "   1 False\t988113107905691013\t=\t988113107905691013\n",
-      "   2 True\t988113107905691013\t<\t1316408479551710540\n",
-      "   3 True\t1316408479551710540\t<\t8752444979630626700\n",
-      "   4 True\t8752444979630626700\t<\t8962848115702722762\n",
-      "   2 False\t8962848115702722762\t>\t5467481853886401630\n",
-      "   3 False\t5467481853886401630\t>\t4059689584031724040\n",
-      "   4 False\t4059689584031724040\t>\t3719849602915808648\n",
-      "   5 False\t3719849602915808648\t>\t2074705428050941411\n",
-      "   2 True\t2074705428050941411\t<\t3682552083779730939\n",
-      "   3 True\t3682552083779730939\t<\t5311350030925199082\n",
-      "   4 True\t5311350030925199082\t<\t7298959340382611158\n",
-      "   5 True\t7298959340382611158\t<\t7467925947473374134\n",
-      "   2 False\t7467925947473374134\t>\t3282824742709045709\n",
-      "   3 False\t3282824742709045709\t>\t3237164795884943347\n",
-      "   2 True\t3237164795884943347\t<\t3416525911214592136\n",
-      "   2 False\t3416525911214592136\t>\t2645119822829975996\n",
-      "   2 True\t2645119822829975996\t<\t4126357853632540611\n",
-      "   1 True\t4126357853632540611\t=\t4126357853632540611\n",
-      "   2 True\t4126357853632540611\t<\t7529399387133621625\n",
-      "   3 True\t7529399387133621625\t<\t7819201517271655829\n",
-      "   4 True\t7819201517271655829\t<\t8946801914894627422\n",
-      "   2 False\t8946801914894627422\t>\t2958835522348708314\n",
-      "   3 False\t2958835522348708314\t>\t96986832241195218\n",
-      "   1 False\t96986832241195218\t=\t96986832241195218\n",
-      "   2 False\t96986832241195218\t>\t69724324873202000\n",
-      "   3 False\t69724324873202000\t>\t12726293784843799\n",
-      "   2 True\t12726293784843799\t<\t7504777646628801684\n",
-      "   3 True\t7504777646628801684\t<\t8932698152019158442\n",
-      "   4 True\t8932698152019158442\t<\t9115957438434556380\n",
-      "   5 True\t9115957438434556380\t<\t9144820723895411894\n",
-      "   2 False\t9144820723895411894\t>\t1499033268258935795\n",
-      "   2 True\t1499033268258935795\t<\t6414172392148477944\n",
-      "   3 True\t6414172392148477944\t<\t7893254207660558642\n",
-      "   4 True\t7893254207660558642\t<\t7929551275184513238\n",
-      "   2 False\t7929551275184513238\t>\t2388788858191943981\n",
-      "   3 False\t2388788858191943981\t>\t1827083142797945972\n",
-      "   4 False\t1827083142797945972\t>\t172573022957246288\n",
-      "   5 False\t172573022957246288\t>\t34288763649384187\n",
-      "   6 False\t34288763649384187\t>\t28550043399705967\n",
-      "   7 False\t28550043399705967\t>\t28305829041484163\n",
-      "   8 False\t28305829041484163\t>\t1800803833325446\n",
-      "   2 True\t1800803833325446\t<\t4718830901643523762\n",
-      "   3 True\t4718830901643523762\t<\t6531578783696610532\n",
-      "   2 False\t6531578783696610532\t>\t4934100793798201086\n",
-      "   3 False\t4934100793798201086\t>\t528367236426269159\n",
-      "   4 False\t528367236426269159\t>\t256186596279933561\n",
-      "   5 False\t256186596279933561\t>\t79305841320321602\n",
-      "   6 False\t79305841320321602\t>\t42290505842424497\n",
-      "   7 False\t42290505842424497\t>\t29566787349191627\n",
-      "   8 False\t29566787349191627\t>\t7041419982351382\n",
-      "   9 False\t7041419982351382\t>\t4563200064643863\n",
-      "   2 True\t4563200064643863\t<\t7977823465439911964\n",
-      "   2 False\t7977823465439911964\t>\t2079802986880501933\n",
-      "   3 False\t2079802986880501933\t>\t1326147471002735570\n",
-      "   4 False\t1326147471002735570\t>\t575272805166334345\n",
-      "   5 False\t575272805166334345\t>\t3388950352180073\n",
-      "   6 False\t3388950352180073\t>\t285213805417850\n",
-      "   2 True\t285213805417850\t<\t6234058508835116803\n",
-      "   3 True\t6234058508835116803\t<\t8588768272095109016\n",
-      "   4 True\t8588768272095109016\t<\t9171420461303040735\n",
-      "   5 True\t9171420461303040735\t<\t9221725648454154333\n",
-      "   6 True\t9221725648454154333\t<\t9221822297137769680\n",
-      "   7 True\t9221822297137769680\t<\t9222304307798338762\n",
-      "   8 True\t9222304307798338762\t<\t9223150840895727360\n",
-      "   9 True\t9223150840895727360\t<\t9223153752454663066\n",
-      "  10 True\t9223153752454663066\t<\t9223249210983740055\n",
-      "   2 False\t9223249210983740055\t>\t8502436694496344107\n",
-      "   2 True\t8502436694496344107\t<\t9040835484080721162\n",
-      "   2 False\t9040835484080721162\t>\t2012456705570885925\n",
-      "   3 False\t2012456705570885925\t>\t716986161309209889\n",
-      "   2 True\t716986161309209889\t<\t932767119649420896\n",
-      "   1 True\t932767119649420896\t=\t932767119649420896\n",
-      "   2 True\t932767119649420896\t<\t4271574448820543128\n",
-      "   3 True\t4271574448820543128\t<\t8925762627348347885\n",
-      "   2 False\t8925762627348347885\t>\t1343121290053220942\n",
-      "   3 False\t1343121290053220942\t>\t69456928394069160\n",
-      "   4 False\t69456928394069160\t>\t14332485818136453\n",
-      "   5 False\t14332485818136453\t>\t1231850554994365\n",
-      "   6 False\t1231850554994365\t>\t1192192557509729\n",
-      "   7 False\t1192192557509729\t>\t723991161294653\n",
-      "   8 False\t723991161294653\t>\t288283515689823\n",
-      "   9 False\t288283515689823\t>\t138146380698682\n",
-      "  10 False\t138146380698682\t>\t81160750759354\n",
-      "  11 False\t81160750759354\t>\t639501414825\n",
-      "   2 True\t639501414825\t<\t2311695874860612778\n",
-      "   3 True\t2311695874860612778\t<\t2615235447136683259\n",
-      "   4 True\t2615235447136683259\t<\t6623893355482662149\n",
-      "   5 True\t6623893355482662149\t<\t9120956153248769245\n",
-      "   6 True\t9120956153248769245\t<\t9132003772909482866\n",
-      "   7 True\t9132003772909482866\t<\t9132241895299075172\n",
-      "   8 True\t9132241895299075172\t<\t9141034050486621624\n",
-      "   2 False\t9141034050486621624\t>\t9031524594387292230\n",
-      "   3 False\t9031524594387292230\t>\t6190847388404947250\n",
-      "   2 True\t6190847388404947250\t<\t6723762857537802785\n",
-      "   3 True\t6723762857537802785\t<\t7951584464928786412\n",
-      "   2 False\t7951584464928786412\t>\t3177042883220795805\n",
-      "   2 True\t3177042883220795805\t<\t5944954818556357293\n",
-      "   2 False\t5944954818556357293\t>\t642839440737449669\n",
-      "   2 True\t642839440737449669\t<\t3337278624074273795\n",
-      "   3 True\t3337278624074273795\t<\t8326490821964806245\n",
-      "   4 True\t8326490821964806245\t<\t9038380103736622410\n",
-      "   5 True\t9038380103736622410\t<\t9159795706562586863\n",
-      "   6 True\t9159795706562586863\t<\t9178926585583299154\n",
-      "   7 True\t9178926585583299154\t<\t9187807243537012972\n",
-      "   8 True\t9187807243537012972\t<\t9204837230606093227\n",
-      "   9 True\t9204837230606093227\t<\t9214209793628048981\n",
-      "  10 True\t9214209793628048981\t<\t9218093967418752396\n",
-      "   2 False\t9218093967418752396\t>\t5095308825856904626\n",
-      "   2 True\t5095308825856904626\t<\t5454506091303688899\n",
-      "   3 True\t5454506091303688899\t<\t6288075259070423834\n",
-      "   2 False\t6288075259070423834\t>\t5272168542291705131\n",
-      "   2 True\t5272168542291705131\t<\t6355736397956942558\n",
-      "   3 True\t6355736397956942558\t<\t7052569954221133058\n",
-      "   4 True\t7052569954221133058\t<\t7707131639958394467\n",
-      "   5 True\t7707131639958394467\t<\t9102324390066052015\n",
-      "   6 True\t9102324390066052015\t<\t9193628652218327401\n",
-      "   2 False\t9193628652218327401\t>\t9161386946403099783\n",
-      "   2 True\t9161386946403099783\t<\t9175789889438559107\n",
-      "   3 True\t9175789889438559107\t<\t9218833513291425401\n",
-      "   4 True\t9218833513291425401\t<\t9221137539004571397\n",
-      "   2 False\t9221137539004571397\t>\t6045540770421674109\n",
-      "   1 False\t6045540770421674109\t=\t6045540770421674109\n",
-      "   2 True\t6045540770421674109\t<\t7552633947161101933\n",
-      "   3 True\t7552633947161101933\t<\t7614218436928786816\n",
-      "   4 True\t7614218436928786816\t<\t8450121367470751495\n",
-      "   2 False\t8450121367470751495\t>\t5134996526920356315\n",
-      "   3 False\t5134996526920356315\t>\t3104959049466703743\n",
-      "   2 True\t3104959049466703743\t<\t8950002483399123206\n",
-      "   3 True\t8950002483399123206\t<\t9082103676777823421\n",
-      "   4 True\t9082103676777823421\t<\t9102013538861565388\n",
-      "   5 True\t9102013538861565388\t<\t9105855475992443837\n",
-      "   2 False\t9105855475992443837\t>\t593962574278944024\n",
-      "   3 False\t593962574278944024\t>\t232274432445302008\n",
-      "   4 False\t232274432445302008\t>\t115978778245147068\n",
-      "   2 True\t115978778245147068\t<\t8823090162754905713\n",
-      "   2 False\t8823090162754905713\t>\t452990246691301506\n",
-      "   3 False\t452990246691301506\t>\t209437300739829956\n",
-      "   2 True\t209437300739829956\t<\t921076111307758306\n",
-      "   3 True\t921076111307758306\t<\t3714936356515146176\n",
-      "   4 True\t3714936356515146176\t<\t4709626800086931027\n",
-      "   2 False\t4709626800086931027\t>\t1862677983360689178\n",
-      "   1 False\t1862677983360689178\t=\t1862677983360689178\n",
-      "   2 True\t1862677983360689178\t<\t2241178164328105371\n",
-      "   2 False\t2241178164328105371\t>\t1728554581765523730\n",
-      "   2 True\t1728554581765523730\t<\t5168397896336370099\n",
-      "   3 True\t5168397896336370099\t<\t8769695754187825735\n",
-      "   4 True\t8769695754187825735\t<\t9043194555001489456\n",
-      "   5 True\t9043194555001489456\t<\t9129999331968043152\n",
-      "   6 True\t9129999331968043152\t<\t9156643005095655538\n",
-      "   2 False\t9156643005095655538\t>\t1002746328834995859\n",
-      "   3 False\t1002746328834995859\t>\t211609922975173034\n",
-      "   4 False\t211609922975173034\t>\t107694474729258527\n",
-      "   2 True\t107694474729258527\t<\t3975073205489907557\n",
-      "   3 True\t3975073205489907557\t<\t9025060930102842880\n",
-      "   4 True\t9025060930102842880\t<\t9145448811983153774\n",
-      "   5 True\t9145448811983153774\t<\t9160702659394055190\n",
-      "   2 False\t9160702659394055190\t>\t2148841045488248795\n",
-      "   2 True\t2148841045488248795\t<\t4500625767092092314\n",
-      "   3 True\t4500625767092092314\t<\t6496555017498337419\n",
-      "   2 False\t6496555017498337419\t>\t3517125071173748036\n",
-      "   1 False\t3517125071173748036\t=\t3517125071173748036\n",
-      "   2 True\t3517125071173748036\t<\t7538577113889077600\n",
-      "   3 True\t7538577113889077600\t<\t7699088051426821118\n",
-      "   4 True\t7699088051426821118\t<\t9143824261915037850\n",
-      "   5 True\t9143824261915037850\t<\t9180679723764522731\n",
-      "   6 True\t9180679723764522731\t<\t9207333090388306400\n",
-      "   7 True\t9207333090388306400\t<\t9219349439962599454\n",
-      "   1 True\t9219349439962599454\t=\t9219349439962599454\n",
-      "   2 True\t9219349439962599454\t<\t9223113974411129771\n",
-      "   2 False\t9223113974411129771\t>\t4018410773572509551\n",
-      "   3 False\t4018410773572509551\t>\t253775266484707966\n",
-      "   2 True\t253775266484707966\t<\t4367097485281747299\n",
-      "   3 True\t4367097485281747299\t<\t8096124669459881339\n",
-      "   4 True\t8096124669459881339\t<\t8525257837422153805\n",
-      "   5 True\t8525257837422153805\t<\t9194005769916950787\n",
-      "   6 True\t9194005769916950787\t<\t9204443753818313931\n",
-      "   7 True\t9204443753818313931\t<\t9204953834679744728\n",
-      "   8 True\t9204953834679744728\t<\t9208224169478478462\n",
-      "   2 False\t9208224169478478462\t>\t904502802445011000\n",
-      "   3 False\t904502802445011000\t>\t233594379343225499\n",
-      "   4 False\t233594379343225499\t>\t47086358440205374\n",
-      "   1 False\t47086358440205374\t=\t47086358440205374\n",
-      "   2 True\t47086358440205374\t<\t1673329563015065579\n",
-      "   2 False\t1673329563015065579\t>\t697290832011663197\n",
-      "   2 True\t697290832011663197\t<\t7856174511768112577\n",
-      "   3 True\t7856174511768112577\t<\t8349190851944029254\n",
-      "   2 False\t8349190851944029254\t>\t5908881395119308794\n",
-      "   2 True\t5908881395119308794\t<\t9080338921742224933\n",
-      "   3 True\t9080338921742224933\t<\t9153848809058010029\n",
-      "   4 True\t9153848809058010029\t<\t9214706796071881692\n",
-      "   5 True\t9214706796071881692\t<\t9220869194085653471\n",
-      "   6 True\t9220869194085653471\t<\t9221497087512126227\n",
-      "   2 False\t9221497087512126227\t>\t1679301501909500997\n",
-      "   3 False\t1679301501909500997\t>\t1340845898316951519\n",
-      "   4 False\t1340845898316951519\t>\t106194176351545350\n",
-      "   5 False\t106194176351545350\t>\t99957634922503699\n",
-      "   1 False\t99957634922503699\t=\t99957634922503699\n",
-      "   2 True\t99957634922503699\t<\t5685146219391584745\n",
-      "   3 True\t5685146219391584745\t<\t6538069571123196071\n",
-      "   4 True\t6538069571123196071\t<\t8496860201912897051\n",
-      "   5 True\t8496860201912897051\t<\t9184186052538668973\n",
-      "   6 True\t9184186052538668973\t<\t9215092160735813595\n",
-      "   7 True\t9215092160735813595\t<\t9220097074743918971\n",
-      "   8 True\t9220097074743918971\t<\t9222177853465330265\n",
-      "   2 False\t9222177853465330265\t>\t5323280895037401695\n",
-      "   3 False\t5323280895037401695\t>\t3929687321909802807\n",
-      "   1 False\t3929687321909802807\t=\t3929687321909802807\n",
-      "   2 False\t3929687321909802807\t>\t614175526847499083\n",
-      "   2 True\t614175526847499083\t<\t6761016066419163114\n",
-      "   2 False\t6761016066419163114\t>\t875334813466669258\n",
-      "   2 True\t875334813466669258\t<\t4868209377982075720\n",
-      "   3 True\t4868209377982075720\t<\t4926857545641299774\n",
-      "   4 True\t4926857545641299774\t<\t7922365534720002340\n",
-      "   5 True\t7922365534720002340\t<\t8702193179847448765\n",
-      "   6 True\t8702193179847448765\t<\t9129609830289397082\n",
-      "   7 True\t9129609830289397082\t<\t9217407753583790985\n",
-      "   8 True\t9217407753583790985\t<\t9221481507470126046\n",
-      "   2 False\t9221481507470126046\t>\t8840410917272492844\n",
-      "   2 True\t8840410917272492844\t<\t8938086376159404641\n",
-      "   2 False\t8938086376159404641\t>\t8558324281405678364\n",
-      "   3 False\t8558324281405678364\t>\t1720006478474901759\n",
-      "   2 True\t1720006478474901759\t<\t3327782194357249321\n",
-      "   2 False\t3327782194357249321\t>\t2803367072284546273\n",
-      "   3 False\t2803367072284546273\t>\t2590447664662233326\n",
-      "   4 False\t2590447664662233326\t>\t420846189130862640\n",
-      "   5 False\t420846189130862640\t>\t296349255089596192\n",
-      "   6 False\t296349255089596192\t>\t231134403711951454\n",
-      "   7 False\t231134403711951454\t>\t186634293334933546\n",
-      "   8 False\t186634293334933546\t>\t43110256471774562\n",
-      "   9 False\t43110256471774562\t>\t12906705006070897\n",
-      "  10 False\t12906705006070897\t>\t1659307122407774\n",
-      "  11 False\t1659307122407774\t>\t860074219528271\n",
-      "  12 False\t860074219528271\t>\t433998420235281\n",
-      "  13 False\t433998420235281\t>\t250170181236498\n",
-      "  14 False\t250170181236498\t>\t215378189789651\n",
-      "  15 False\t215378189789651\t>\t83906303954349\n",
-      "  16 False\t83906303954349\t>\t30497991748445\n",
-      "  17 False\t30497991748445\t>\t26631872761696\n",
-      "  18 False\t26631872761696\t>\t5872331976822\n",
-      "  19 False\t5872331976822\t>\t2482943585765\n",
-      "   2 True\t2482943585765\t<\t3564217503529668384\n",
-      "   3 True\t3564217503529668384\t<\t9073978675059732289\n",
-      "   2 False\t9073978675059732289\t>\t5232834060982946625\n",
-      "   3 False\t5232834060982946625\t>\t3048529313619531351\n",
-      "   2 True\t3048529313619531351\t<\t3667335933112561825\n",
-      "   2 False\t3667335933112561825\t>\t1983016605381125523\n",
-      "   3 False\t1983016605381125523\t>\t726835055696995764\n",
-      "   4 False\t726835055696995764\t>\t612322366482793341\n",
-      "   2 True\t612322366482793341\t<\t6675327171129649749\n",
-      "   1 True\t6675327171129649749\t=\t6675327171129649749\n",
-      "   2 True\t6675327171129649749\t<\t7884257201824323959\n",
-      "   3 True\t7884257201824323959\t<\t8812880364241194841\n",
-      "   1 True\t8812880364241194841\t=\t8812880364241194841\n",
-      "   2 True\t8812880364241194841\t<\t8951633131607621926\n",
-      "   3 True\t8951633131607621926\t<\t9068126605051029490\n",
-      "   4 True\t9068126605051029490\t<\t9071018158847585364\n",
-      "   2 False\t9071018158847585364\t>\t8257323634314323461\n",
-      "   1 False\t8257323634314323461\t=\t8257323634314323461\n",
-      "   2 False\t8257323634314323461\t>\t1284921028854164190\n",
-      "   3 False\t1284921028854164190\t>\t832880477695976209\n",
-      "   4 False\t832880477695976209\t>\t115569173985966325\n",
-      "   5 False\t115569173985966325\t>\t5109256509981948\n",
-      "   6 False\t5109256509981948\t>\t1228201232134804\n",
-      "   2 True\t1228201232134804\t<\t5800067701089691446\n",
-      "   3 True\t5800067701089691446\t<\t6984958239581010580\n",
-      "   4 True\t6984958239581010580\t<\t8663581692167880347\n",
-      "   5 True\t8663581692167880347\t<\t8726521410902495870\n",
-      "   6 True\t8726521410902495870\t<\t9195412478461032983\n",
-      "   7 True\t9195412478461032983\t<\t9214139053161164963\n",
-      "   8 True\t9214139053161164963\t<\t9223292751927333111\n",
-      "   9 True\t9223292751927333111\t<\t9223303650992194834\n",
-      "  10 True\t9223303650992194834\t<\t9223342097054349108\n",
-      "  11 True\t9223342097054349108\t<\t9223370238659157210\n",
-      "  12 True\t9223370238659157210\t<\t9223371605112893027\n",
-      "  13 True\t9223371605112893027\t<\t9223371938615284796\n",
-      "  14 True\t9223371938615284796\t<\t9223371963384457036\n",
-      "   2 False\t9223371963384457036\t>\t1077760327593880588\n",
-      "   2 True\t1077760327593880588\t<\t4496755159752728515\n",
-      "   3 True\t4496755159752728515\t<\t5131611527858383139\n",
-      "   4 True\t5131611527858383139\t<\t9199303359830313358\n",
-      "   2 False\t9199303359830313358\t>\t6925586552021782347\n",
-      "   3 False\t6925586552021782347\t>\t3635774901523271393\n",
-      "   4 False\t3635774901523271393\t>\t1814154497866267085\n",
-      "   5 False\t1814154497866267085\t>\t1537124503261529734\n",
-      "   2 True\t1537124503261529734\t<\t2489703827374475639\n",
-      "   2 False\t2489703827374475639\t>\t2471669430858429297\n",
-      "   2 True\t2471669430858429297\t<\t6078053493937238717\n",
-      "   2 False\t6078053493937238717\t>\t2507698389766224565\n",
-      "   2 True\t2507698389766224565\t<\t6308254246988921266\n",
-      "   3 True\t6308254246988921266\t<\t9199249489595515102\n",
-      "   1 True\t9199249489595515102\t=\t9199249489595515102\n",
-      "   2 True\t9199249489595515102\t<\t9215289788137561381\n",
-      "   3 True\t9215289788137561381\t<\t9216788197038669804\n",
-      "   4 True\t9216788197038669804\t<\t9217969315355050194\n",
-      "   5 True\t9217969315355050194\t<\t9220164409960606537\n",
-      "   2 False\t9220164409960606537\t>\t3491912608222170364\n",
-      "   2 True\t3491912608222170364\t<\t6909633248043545507\n",
-      "   3 True\t6909633248043545507\t<\t8467635456819099467\n",
-      "   4 True\t8467635456819099467\t<\t8659153784363654766\n",
-      "   5 True\t8659153784363654766\t<\t8869634519287543265\n",
-      "   6 True\t8869634519287543265\t<\t9191732842625762423\n",
-      "   7 True\t9191732842625762423\t<\t9220406402961959042\n",
-      "   2 False\t9220406402961959042\t>\t6657734816355722350\n",
-      "   3 False\t6657734816355722350\t>\t4460230379982875423\n",
-      "   1 False\t4460230379982875423\t=\t4460230379982875423\n",
-      "   2 False\t4460230379982875423\t>\t4043847577384825146\n",
-      "   3 False\t4043847577384825146\t>\t29800706123125465\n",
-      "   4 False\t29800706123125465\t>\t14766644683298352\n",
-      "   2 True\t14766644683298352\t<\t8621837582279555826\n",
-      "   2 False\t8621837582279555826\t>\t5353744294402164372\n",
-      "   1 False\t5353744294402164372\t=\t5353744294402164372\n",
-      "   2 True\t5353744294402164372\t<\t8823202888483145700\n",
-      "   3 True\t8823202888483145700\t<\t9007315284097044663\n",
-      "   2 False\t9007315284097044663\t>\t1669754429465796883\n",
-      "   2 True\t1669754429465796883\t<\t7365539984651680462\n",
-      "   3 True\t7365539984651680462\t<\t8513966964244460696\n",
-      "   4 True\t8513966964244460696\t<\t8857296561466165892\n",
-      "   5 True\t8857296561466165892\t<\t9130070788628730971\n",
-      "   2 False\t9130070788628730971\t>\t7275137724830844515\n",
-      "   2 True\t7275137724830844515\t<\t8414505865088330908\n",
-      "   2 False\t8414505865088330908\t>\t8201857468081089069\n",
-      "   2 True\t8201857468081089069\t<\t8536310689056842168\n",
-      "   3 True\t8536310689056842168\t<\t8849911687418576613\n",
-      "   2 False\t8849911687418576613\t>\t1394309889284761369\n",
-      "   1 False\t1394309889284761369\t=\t1394309889284761369\n",
-      "   2 False\t1394309889284761369\t>\t1315237956556274717\n",
-      "   1 False\t1315237956556274717\t=\t1315237956556274717\n",
-      "   2 False\t1315237956556274717\t>\t1046150201217995843\n",
-      "   3 False\t1046150201217995843\t>\t169347467422653099\n",
-      "   4 False\t169347467422653099\t>\t103544746490701272\n",
-      "   2 True\t103544746490701272\t<\t1738319229879221457\n",
-      "   3 True\t1738319229879221457\t<\t3715248822485199469\n",
-      "   4 True\t3715248822485199469\t<\t7505661327120069617\n",
-      "   2 False\t7505661327120069617\t>\t4234075515389723122\n",
-      "   2 True\t4234075515389723122\t<\t8805296519614447464\n",
-      "   3 True\t8805296519614447464\t<\t8973864413817844170\n",
-      "   4 True\t8973864413817844170\t<\t9025736393272633606\n",
-      "   5 True\t9025736393272633606\t<\t9190992208043141969\n",
-      "   6 True\t9190992208043141969\t<\t9192366907083344285\n",
-      "   7 True\t9192366907083344285\t<\t9212126421435111352\n",
-      "   8 True\t9212126421435111352\t<\t9217234725715578100\n",
-      "   2 False\t9217234725715578100\t>\t6431076223806601238\n",
-      "   3 False\t6431076223806601238\t>\t4125786571675766978\n",
-      "   2 True\t4125786571675766978\t<\t7388392197676274069\n",
-      "   3 True\t7388392197676274069\t<\t7923263892838992544\n",
-      "   2 False\t7923263892838992544\t>\t1000980078474795436\n",
-      "   1 False\t1000980078474795436\t=\t1000980078474795436\n",
-      "   2 False\t1000980078474795436\t>\t270462562719009446\n",
-      "   3 False\t270462562719009446\t>\t211601365990153982\n",
-      "   1 False\t211601365990153982\t=\t211601365990153982\n",
-      "   2 False\t211601365990153982\t>\t96257981957099739\n",
-      "   3 False\t96257981957099739\t>\t34270749274650382\n",
-      "   4 False\t34270749274650382\t>\t6869946396232890\n",
-      "   1 False\t6869946396232890\t=\t6869946396232890\n",
-      "   2 False\t6869946396232890\t>\t3446297958044515\n",
-      "   2 True\t3446297958044515\t<\t5833636011315787177\n",
-      "   3 True\t5833636011315787177\t<\t6938108521765506112\n",
-      "   2 False\t6938108521765506112\t>\t3461684160878445738\n",
-      "   2 True\t3461684160878445738\t<\t4587214051779333717\n",
-      "   3 True\t4587214051779333717\t<\t7334895673472845549\n",
-      "   2 False\t7334895673472845549\t>\t3470817148369411295\n",
-      "   3 False\t3470817148369411295\t>\t743892015089219820\n",
-      "   4 False\t743892015089219820\t>\t545790168387251102\n",
-      "   5 False\t545790168387251102\t>\t340987131989574462\n",
-      "   6 False\t340987131989574462\t>\t99766705419714463\n",
-      "   7 False\t99766705419714463\t>\t70401140605287077\n",
-      "   8 False\t70401140605287077\t>\t64627534190650673\n",
-      "   2 True\t64627534190650673\t<\t71052264139848102\n",
-      "   3 True\t71052264139848102\t<\t8681354804917698689\n",
-      "   4 True\t8681354804917698689\t<\t8700968880259844267\n",
-      "   1 True\t8700968880259844267\t=\t8700968880259844267\n",
-      "   1 True\t8700968880259844267\t=\t8700968880259844267\n",
-      "   1 True\t8700968880259844267\t=\t8700968880259844267\n",
-      "   2 False\t8700968880259844267\t>\t1568201873238356946\n",
-      "   3 False\t1568201873238356946\t>\t1214111346147496713\n",
-      "   2 True\t1214111346147496713\t<\t1954132984655395738\n",
-      "   3 True\t1954132984655395738\t<\t3500618226099161751\n",
-      "   2 False\t3500618226099161751\t>\t1804278416278643709\n",
-      "   3 False\t1804278416278643709\t>\t445700737519659110\n",
-      "   4 False\t445700737519659110\t>\t318913919129303779\n",
-      "   5 False\t318913919129303779\t>\t222573167227428028\n",
-      "   6 False\t222573167227428028\t>\t186060787144519131\n",
-      "   2 True\t186060787144519131\t<\t8681285722607494937\n",
-      "   3 True\t8681285722607494937\t<\t9200027319376789468\n",
-      "   4 True\t9200027319376789468\t<\t9204799206284928993\n",
-      "   5 True\t9204799206284928993\t<\t9221757573124265919\n",
-      "   2 False\t9221757573124265919\t>\t319908569786808129\n",
-      "   3 False\t319908569786808129\t>\t232089017961821324\n",
-      "   2 True\t232089017961821324\t<\t5398831107384848311\n",
-      "   3 True\t5398831107384848311\t<\t5794759324452394553\n",
-      "   4 True\t5794759324452394553\t<\t6222198593745796892\n",
-      "   5 True\t6222198593745796892\t<\t7769540578856542660\n",
-      "   6 True\t7769540578856542660\t<\t8885385744996869539\n",
-      "   7 True\t8885385744996869539\t<\t9143940869207018165\n",
-      "   8 True\t9143940869207018165\t<\t9159632409123590347\n",
-      "   9 True\t9159632409123590347\t<\t9188841127296779754\n",
-      "  10 True\t9188841127296779754\t<\t9212241912977258094\n",
-      "  11 True\t9212241912977258094\t<\t9217773215945945333\n",
-      "  12 True\t9217773215945945333\t<\t9219238919772130350\n",
-      "  13 True\t9219238919772130350\t<\t9222212829709816558\n",
-      "  14 True\t9222212829709816558\t<\t9222253241893327317\n",
-      "  15 True\t9222253241893327317\t<\t9222630654745851334\n",
-      "   2 False\t9222630654745851334\t>\t7076317578475572041\n",
-      "   3 False\t7076317578475572041\t>\t5844991947691072497\n",
-      "   2 True\t5844991947691072497\t<\t8637072214996534300\n",
-      "   3 True\t8637072214996534300\t<\t8768193223198029689\n",
-      "   4 True\t8768193223198029689\t<\t8844865850682505998\n",
-      "   2 False\t8844865850682505998\t>\t2176484744945102762\n",
-      "   2 True\t2176484744945102762\t<\t8101753003386004464\n",
-      "   2 False\t8101753003386004464\t>\t265887579288079286\n",
-      "   3 False\t265887579288079286\t>\t25332980281481378\n",
-      "   4 False\t25332980281481378\t>\t7553389324375386\n",
-      "   5 False\t7553389324375386\t>\t4990050121022359\n",
-      "   6 False\t4990050121022359\t>\t2261018676191924\n",
-      "   7 False\t2261018676191924\t>\t1115788936751372\n",
-      "   2 True\t1115788936751372\t<\t5383838167011419327\n",
-      "   3 True\t5383838167011419327\t<\t8142295253019915896\n",
-      "   1 True\t8142295253019915896\t=\t8142295253019915896\n",
-      "   2 False\t8142295253019915896\t>\t1750131607824326982\n",
-      "   2 True\t1750131607824326982\t<\t8233474973736334574\n",
-      "   3 True\t8233474973736334574\t<\t9033746412213367502\n",
-      "   4 True\t9033746412213367502\t<\t9069498635757313509\n",
-      "   5 True\t9069498635757313509\t<\t9163936389545535427\n",
-      "   6 True\t9163936389545535427\t<\t9223002883121890042\n",
-      "   7 True\t9223002883121890042\t<\t9223351302830611941\n",
-      "   2 False\t9223351302830611941\t>\t7375808977722039831\n",
-      "   3 False\t7375808977722039831\t>\t781984713517534174\n",
-      "   2 True\t781984713517534174\t<\t5262344266150678025\n",
-      "   3 True\t5262344266150678025\t<\t6863351474721238252\n",
-      "   4 True\t6863351474721238252\t<\t7444342040472305725\n",
-      "   5 True\t7444342040472305725\t<\t9212244795128681496\n",
-      "   6 True\t9212244795128681496\t<\t9218716694993471793\n",
-      "   7 True\t9218716694993471793\t<\t9219374833526445309\n",
-      "   2 False\t9219374833526445309\t>\t3397499613327111820\n",
-      "   3 False\t3397499613327111820\t>\t1669622499205107870\n",
-      "   4 False\t1669622499205107870\t>\t189542873391972382\n",
-      "   5 False\t189542873391972382\t>\t149681744009924324\n",
-      "   6 False\t149681744009924324\t>\t122400001343584443\n",
-      "   7 False\t122400001343584443\t>\t63793308358431008\n",
-      "   2 True\t63793308358431008\t<\t2599966402210202155\n",
-      "   3 True\t2599966402210202155\t<\t4298484147045820213\n",
-      "   4 True\t4298484147045820213\t<\t4594036397135260213\n",
-      "   5 True\t4594036397135260213\t<\t5614264931850315900\n",
-      "   6 True\t5614264931850315900\t<\t9081247347498580626\n",
-      "   7 True\t9081247347498580626\t<\t9194169450637209106\n",
-      "   8 True\t9194169450637209106\t<\t9208266672692389468\n",
-      "   9 True\t9208266672692389468\t<\t9210916381216208852\n",
-      "   2 False\t9210916381216208852\t>\t887878210287117218\n",
-      "   2 True\t887878210287117218\t<\t1687729194130693902\n",
-      "   3 True\t1687729194130693902\t<\t8246528251508472458\n",
-      "   1 True\t8246528251508472458\t=\t8246528251508472458\n",
-      "   2 False\t8246528251508472458\t>\t795283669825360487\n",
-      "   3 False\t795283669825360487\t>\t441608380252995702\n",
-      "   4 False\t441608380252995702\t>\t266183624247263562\n",
-      "   1 False\t266183624247263562\t=\t266183624247263562\n",
-      "   2 False\t266183624247263562\t>\t25557042644047293\n",
-      "   3 False\t25557042644047293\t>\t18224504659983897\n",
-      "   4 False\t18224504659983897\t>\t14800988019987093\n",
-      "   5 False\t14800988019987093\t>\t12982042132891719\n",
-      "   6 False\t12982042132891719\t>\t11914012177151106\n",
-      "   7 False\t11914012177151106\t>\t4133652398414986\n",
-      "   2 True\t4133652398414986\t<\t4765861197705648941\n",
-      "   2 False\t4765861197705648941\t>\t140433437512911219\n",
-      "   3 False\t140433437512911219\t>\t13326778312807922\n",
-      "   4 False\t13326778312807922\t>\t714118354207465\n",
-      "   5 False\t714118354207465\t>\t200092848541958\n",
-      "   1 False\t200092848541958\t=\t200092848541958\n",
-      "   2 False\t200092848541958\t>\t199540391843162\n",
-      "   3 False\t199540391843162\t>\t144566158959122\n",
-      "   4 False\t144566158959122\t>\t15993378094485\n",
-      "   5 False\t15993378094485\t>\t7046085240996\n",
-      "   6 False\t7046085240996\t>\t6450633238549\n",
-      "   7 False\t6450633238549\t>\t2126672172246\n",
-      "   8 False\t2126672172246\t>\t2073867211192\n",
-      "   2 True\t2073867211192\t<\t3565084653355172564\n",
-      "   3 True\t3565084653355172564\t<\t6219215886669604851\n",
-      "   4 True\t6219215886669604851\t<\t8385554333564144159\n",
-      "   5 True\t8385554333564144159\t<\t8719930324739783612\n",
-      "   6 True\t8719930324739783612\t<\t9022251748382045199\n",
-      "   2 False\t9022251748382045199\t>\t524562313688305768\n",
-      "   2 True\t524562313688305768\t<\t7889761170581777014\n",
-      "   3 True\t7889761170581777014\t<\t8205563040934831830\n",
-      "   4 True\t8205563040934831830\t<\t9063116120904340937\n",
-      "   5 True\t9063116120904340937\t<\t9126686400564023790\n",
-      "   6 True\t9126686400564023790\t<\t9212096068297638947\n",
-      "   7 True\t9212096068297638947\t<\t9216068286175624196\n",
-      "   2 False\t9216068286175624196\t>\t179364165086344398\n",
-      "   3 False\t179364165086344398\t>\t32456976090296176\n",
-      "   4 False\t32456976090296176\t>\t25995737811718235\n",
-      "   5 False\t25995737811718235\t>\t24141203895879554\n",
-      "   6 False\t24141203895879554\t>\t16208740541526736\n",
-      "   7 False\t16208740541526736\t>\t15332823479301992\n",
-      "   2 True\t15332823479301992\t<\t8028095299202255976\n",
-      "   3 True\t8028095299202255976\t<\t9163131136166171811\n",
-      "   4 True\t9163131136166171811\t<\t9214137177159587810\n",
-      "   5 True\t9214137177159587810\t<\t9216562880049234408\n",
-      "   6 True\t9216562880049234408\t<\t9220012609459718240\n",
-      "   7 True\t9220012609459718240\t<\t9220124154510425796\n",
-      "   8 True\t9220124154510425796\t<\t9222224232511233872\n",
-      "   9 True\t9222224232511233872\t<\t9222391759476815081\n",
-      "  10 True\t9222391759476815081\t<\t9222804396632157725\n",
-      "   1 True\t9222804396632157725\t=\t9222804396632157725\n",
-      "   2 False\t9222804396632157725\t>\t243589008831320027\n",
-      "   3 False\t243589008831320027\t>\t40956873018162782\n",
-      "   2 True\t40956873018162782\t<\t3044903310249898803\n",
-      "   2 False\t3044903310249898803\t>\t2502351283406552522\n",
-      "   2 True\t2502351283406552522\t<\t3491521033914066375\n",
-      "   2 False\t3491521033914066375\t>\t3115524396455467635\n",
-      "   2 True\t3115524396455467635\t<\t7378231289855215373\n",
-      "   3 True\t7378231289855215373\t<\t7642660418727969860\n",
-      "   2 False\t7642660418727969860\t>\t1611898926625354668\n",
-      "   3 False\t1611898926625354668\t>\t790965031172752339\n",
-      "   4 False\t790965031172752339\t>\t755721853425359203\n",
-      "   5 False\t755721853425359203\t>\t292439373315836340\n",
-      "   2 True\t292439373315836340\t<\t4509035800270045745\n",
-      "   3 True\t4509035800270045745\t<\t8354054246097971402\n",
-      "   2 False\t8354054246097971402\t>\t4377397189881592819\n",
-      "   1 False\t4377397189881592819\t=\t4377397189881592819\n",
-      "   2 False\t4377397189881592819\t>\t1823809102178681332\n",
-      "   2 True\t1823809102178681332\t<\t2455260316253581026\n",
-      "   3 True\t2455260316253581026\t<\t5288928299470919701\n",
-      "   2 False\t5288928299470919701\t>\t2629829268505008032\n",
-      "   3 False\t2629829268505008032\t>\t2494775723906154146\n",
-      "   4 False\t2494775723906154146\t>\t348706382521001523\n",
-      "   2 True\t348706382521001523\t<\t6122488825802533155\n",
-      "   3 True\t6122488825802533155\t<\t6681628999649232227\n",
-      "   4 True\t6681628999649232227\t<\t8162101005832327951\n",
-      "   5 True\t8162101005832327951\t<\t8926782371697446712\n",
-      "   6 True\t8926782371697446712\t<\t9128965630965178017\n",
-      "   7 True\t9128965630965178017\t<\t9193699470974948093\n",
-      "   2 False\t9193699470974948093\t>\t6290387323128392717\n",
-      "   3 False\t6290387323128392717\t>\t5535674444882518848\n",
-      "   2 True\t5535674444882518848\t<\t5726657751501373156\n",
-      "   2 False\t5726657751501373156\t>\t1506617034557112045\n",
-      "   3 False\t1506617034557112045\t>\t1406987669500585215\n",
-      "   4 False\t1406987669500585215\t>\t1392659235783134943\n",
-      "   5 False\t1392659235783134943\t>\t318276905414843156\n",
-      "   6 False\t318276905414843156\t>\t224062857672000099\n",
-      "   7 False\t224062857672000099\t>\t84778006614396855\n",
-      "   2 True\t84778006614396855\t<\t3556505108417414689\n",
-      "   1 True\t3556505108417414689\t=\t3556505108417414689\n",
-      "   2 False\t3556505108417414689\t>\t3517375125480011135\n",
-      "   3 False\t3517375125480011135\t>\t2093251619463640178\n",
-      "   2 True\t2093251619463640178\t<\t2354090073810703866\n",
-      "   3 True\t2354090073810703866\t<\t5850355075234152273\n",
-      "   2 False\t5850355075234152273\t>\t3486642585805859885\n",
-      "   3 False\t3486642585805859885\t>\t889013792044270065\n",
-      "   4 False\t889013792044270065\t>\t272553662710270350\n",
-      "   2 True\t272553662710270350\t<\t2335584453556651832\n",
-      "   3 True\t2335584453556651832\t<\t5646303357822497704\n",
-      "   4 True\t5646303357822497704\t<\t7401747427770225919\n",
-      "   2 False\t7401747427770225919\t>\t981831607717029213\n",
-      "   3 False\t981831607717029213\t>\t120141721779317707\n",
-      "   2 True\t120141721779317707\t<\t3465776653480812793\n",
-      "   3 True\t3465776653480812793\t<\t5165557277515156902\n",
-      "   4 True\t5165557277515156902\t<\t8492133797392342273\n",
-      "   5 True\t8492133797392342273\t<\t8777206982314875058\n",
-      "   6 True\t8777206982314875058\t<\t9215319643566510938\n",
-      "   7 True\t9215319643566510938\t<\t9217444430065406037\n",
-      "   8 True\t9217444430065406037\t<\t9222228713261181047\n",
-      "   2 False\t9222228713261181047\t>\t342320492422122757\n",
-      "   3 False\t342320492422122757\t>\t188464577982734962\n",
-      "   2 True\t188464577982734962\t<\t5612041917873370608\n",
-      "   3 True\t5612041917873370608\t<\t7062730040341142002\n",
-      "   4 True\t7062730040341142002\t<\t8466422865612961996\n",
-      "   5 True\t8466422865612961996\t<\t8639658408643924480\n",
-      "   6 True\t8639658408643924480\t<\t8658963986563347659\n",
-      "   7 True\t8658963986563347659\t<\t9220970164827823968\n",
-      "   8 True\t9220970164827823968\t<\t9222896612685933605\n",
-      "   9 True\t9222896612685933605\t<\t9223088114577646354\n",
-      "  10 True\t9223088114577646354\t<\t9223186377689912103\n",
-      "   2 False\t9223186377689912103\t>\t163260108002815775\n",
-      "   2 True\t163260108002815775\t<\t6570244319183681497\n",
-      "   3 True\t6570244319183681497\t<\t8690586595480161620\n",
-      "   2 False\t8690586595480161620\t>\t3700113180640251385\n",
-      "   3 False\t3700113180640251385\t>\t1647486364913553359\n",
-      "   4 False\t1647486364913553359\t>\t200558121091353524\n",
-      "   5 False\t200558121091353524\t>\t30633327568789685\n",
-      "   2 True\t30633327568789685\t<\t4524259939158440545\n",
-      "   3 True\t4524259939158440545\t<\t6061716699049127342\n",
-      "   4 True\t6061716699049127342\t<\t6431524618239626590\n",
-      "   5 True\t6431524618239626590\t<\t8810185519564560176\n",
-      "   6 True\t8810185519564560176\t<\t8829020732538673715\n",
-      "   7 True\t8829020732538673715\t<\t9141678938376121694\n",
-      "   2 False\t9141678938376121694\t>\t3932778701680549608\n",
-      "   3 False\t3932778701680549608\t>\t3074888368427643858\n",
-      "   2 True\t3074888368427643858\t<\t7883950415408435364\n",
-      "   3 True\t7883950415408435364\t<\t8194588083700551540\n",
-      "   2 False\t8194588083700551540\t>\t6832755752795154447\n",
-      "   3 False\t6832755752795154447\t>\t6014870168124940923\n",
-      "   2 True\t6014870168124940923\t<\t8593926321098064715\n",
-      "   2 False\t8593926321098064715\t>\t1809618193791004747\n",
-      "   3 False\t1809618193791004747\t>\t84157109206583927\n",
-      "   4 False\t84157109206583927\t>\t21670833106863741\n",
-      "   5 False\t21670833106863741\t>\t10295308598336479\n",
-      "   6 False\t10295308598336479\t>\t3642131399414349\n",
-      "   1 False\t3642131399414349\t=\t3642131399414349\n",
-      "   1 False\t3642131399414349\t=\t3642131399414349\n",
-      "   2 False\t3642131399414349\t>\t1226632136983887\n",
-      "   1 False\t1226632136983887\t=\t1226632136983887\n",
-      "   2 True\t1226632136983887\t<\t2929497284702780307\n",
-      "   2 False\t2929497284702780307\t>\t2404231822289848877\n",
-      "   3 False\t2404231822289848877\t>\t41981196699803792\n",
-      "   4 False\t41981196699803792\t>\t13922470713504410\n",
-      "   5 False\t13922470713504410\t>\t12710231167934118\n",
-      "   6 False\t12710231167934118\t>\t9045361632633749\n",
-      "   7 False\t9045361632633749\t>\t8398054842485466\n",
-      "   2 True\t8398054842485466\t<\t3196144475548450228\n",
-      "   3 True\t3196144475548450228\t<\t9122612235304668724\n",
-      "   4 True\t9122612235304668724\t<\t9188441720024225250\n",
-      "   5 True\t9188441720024225250\t<\t9188955251601426405\n",
-      "   6 True\t9188955251601426405\t<\t9196686587299987324\n",
-      "   2 False\t9196686587299987324\t>\t1316103453828876358\n",
-      "   3 False\t1316103453828876358\t>\t1044672446579503859\n",
-      "   2 True\t1044672446579503859\t<\t5289719272854762040\n",
-      "   2 False\t5289719272854762040\t>\t5198363400876631206\n",
-      "   3 False\t5198363400876631206\t>\t5088718576503822723\n",
-      "   2 True\t5088718576503822723\t<\t6902442729838475770\n",
-      "   2 False\t6902442729838475770\t>\t1372165535546354019\n",
-      "   3 False\t1372165535546354019\t>\t1356690036722233155\n",
-      "   4 False\t1356690036722233155\t>\t679798760519414442\n",
-      "   5 False\t679798760519414442\t>\t485926228926403448\n",
-      "   6 False\t485926228926403448\t>\t444797846591409036\n",
-      "   7 False\t444797846591409036\t>\t13619093479585156\n",
-      "   2 True\t13619093479585156\t<\t5596191912301324226\n",
-      "   2 False\t5596191912301324226\t>\t2064287069148863991\n",
-      "   1 False\t2064287069148863991\t=\t2064287069148863991\n",
-      "   2 True\t2064287069148863991\t<\t7441194868399347242\n",
-      "   3 True\t7441194868399347242\t<\t7979305223422767605\n",
-      "   4 True\t7979305223422767605\t<\t8042426143258961284\n",
-      "   5 True\t8042426143258961284\t<\t9211719547398995465\n",
-      "   6 True\t9211719547398995465\t<\t9218663955062852223\n",
-      "   2 False\t9218663955062852223\t>\t9006056625726965597\n",
-      "   3 False\t9006056625726965597\t>\t8999375518316973067\n",
-      "   1 False\t8999375518316973067\t=\t8999375518316973067\n",
-      "   2 False\t8999375518316973067\t>\t1523725970686371473\n",
-      "   3 False\t1523725970686371473\t>\t635980420502237206\n",
-      "   2 True\t635980420502237206\t<\t9015925554090503577\n",
-      "   2 False\t9015925554090503577\t>\t3336408253840157736\n",
-      "   2 True\t3336408253840157736\t<\t4999179429999202330\n",
-      "   2 False\t4999179429999202330\t>\t547167849425359893\n",
-      "   3 False\t547167849425359893\t>\t434116206124417879\n",
-      "   4 False\t434116206124417879\t>\t210764357592937253\n",
-      "   5 False\t210764357592937253\t>\t35354008317710004\n",
-      "   6 False\t35354008317710004\t>\t13516405862036228\n",
-      "   7 False\t13516405862036228\t>\t2620880059176576\n",
-      "   8 False\t2620880059176576\t>\t1974800914834015\n",
-      "   2 True\t1974800914834015\t<\t4647135098323597039\n",
-      "   3 True\t4647135098323597039\t<\t8518736253621218130\n",
-      "   4 True\t8518736253621218130\t<\t8926085083021966154\n",
-      "   5 True\t8926085083021966154\t<\t9105300387546370528\n",
-      "   6 True\t9105300387546370528\t<\t9218064481112430005\n",
-      "   7 True\t9218064481112430005\t<\t9222192495271464951\n",
-      "   8 True\t9222192495271464951\t<\t9222627156964648940\n",
-      "   9 True\t9222627156964648940\t<\t9223313349081612636\n",
-      "  10 True\t9223313349081612636\t<\t9223349519640229429\n",
-      "  11 True\t9223349519640229429\t<\t9223362911612645190\n",
-      "   2 False\t9223362911612645190\t>\t1305813356869924247\n",
-      "   3 False\t1305813356869924247\t>\t105646881165043366\n",
-      "   4 False\t105646881165043366\t>\t83535693478909181\n",
-      "   5 False\t83535693478909181\t>\t37788322191952383\n",
-      "   6 False\t37788322191952383\t>\t13970659057777830\n",
-      "   7 False\t13970659057777830\t>\t2289501319573633\n",
-      "   8 False\t2289501319573633\t>\t1727025621201773\n",
-      "   2 True\t1727025621201773\t<\t7480929359101373015\n",
-      "   3 True\t7480929359101373015\t<\t7959438155620530138\n",
-      "   4 True\t7959438155620530138\t<\t8336341898326308997\n",
-      "   5 True\t8336341898326308997\t<\t8491841497638450707\n",
-      "   2 False\t8491841497638450707\t>\t1600155143137402671\n",
-      "   2 True\t1600155143137402671\t<\t5964163505776425410\n",
-      "   2 False\t5964163505776425410\t>\t5822998963808767580\n",
-      "   3 False\t5822998963808767580\t>\t5772697324814907498\n",
-      "   4 False\t5772697324814907498\t>\t1585408379558221239\n",
-      "   2 True\t1585408379558221239\t<\t7553828454609320023\n",
-      "   3 True\t7553828454609320023\t<\t7767730171296603088\n",
-      "   2 False\t7767730171296603088\t>\t3701149623254251416\n",
-      "   3 False\t3701149623254251416\t>\t3294029881120352940\n",
-      "   2 True\t3294029881120352940\t<\t8466150694839660809\n",
-      "   1 True\t8466150694839660809\t=\t8466150694839660809\n",
-      "   2 True\t8466150694839660809\t<\t8668650680320493531\n",
-      "   2 False\t8668650680320493531\t>\t2953046393770596935\n",
-      "   3 False\t2953046393770596935\t>\t2086716603266575425\n",
-      "   4 False\t2086716603266575425\t>\t1147698786079229463\n",
-      "   5 False\t1147698786079229463\t>\t446264149760093938\n",
-      "   6 False\t446264149760093938\t>\t15848251050368987\n",
-      "   2 True\t15848251050368987\t<\t3321515747262534317\n",
-      "   3 True\t3321515747262534317\t<\t7682211272085923846\n",
-      "   2 False\t7682211272085923846\t>\t6700000146252732921\n",
-      "   3 False\t6700000146252732921\t>\t2472783970791186538\n",
-      "   2 True\t2472783970791186538\t<\t3023531289713824830\n",
-      "   3 True\t3023531289713824830\t<\t6438301438312740184\n",
-      "   2 False\t6438301438312740184\t>\t155939665100898841\n",
-      "   3 False\t155939665100898841\t>\t18814004717683730\n",
-      "   2 True\t18814004717683730\t<\t5221752859606372501\n",
-      "   3 True\t5221752859606372501\t<\t5564108740753166893\n",
-      "   4 True\t5564108740753166893\t<\t7711339226013216468\n",
-      "   5 True\t7711339226013216468\t<\t8850046265983680379\n",
-      "   6 True\t8850046265983680379\t<\t8857609484015525602\n",
-      "   2 False\t8857609484015525602\t>\t6167326165500620846\n",
-      "   3 False\t6167326165500620846\t>\t4766865387866484817\n",
-      "   4 False\t4766865387866484817\t>\t871500472197770528\n",
-      "   5 False\t871500472197770528\t>\t26636580424981776\n",
-      "   6 False\t26636580424981776\t>\t17842977336085657\n",
-      "   7 False\t17842977336085657\t>\t13524086560117322\n",
-      "   8 False\t13524086560117322\t>\t11380621448845179\n",
-      "   9 False\t11380621448845179\t>\t10547731740366306\n",
-      "   2 True\t10547731740366306\t<\t8546939541194981443\n",
-      "   3 True\t8546939541194981443\t<\t8769900537588643041\n",
-      "   4 True\t8769900537588643041\t<\t8814813497809390759\n",
-      "   2 False\t8814813497809390759\t>\t296530321425137804\n",
-      "   3 False\t296530321425137804\t>\t7377034513817677\n",
-      "   4 False\t7377034513817677\t>\t6529058741154619\n",
-      "   5 False\t6529058741154619\t>\t3616055194973502\n",
-      "   6 False\t3616055194973502\t>\t845274452555188\n",
-      "   2 True\t845274452555188\t<\t3173712652668404952\n",
-      "   3 True\t3173712652668404952\t<\t5151072232609980831\n",
-      "   4 True\t5151072232609980831\t<\t5323110701537573171\n",
-      "   5 True\t5323110701537573171\t<\t6028448975141157198\n",
-      "   6 True\t6028448975141157198\t<\t8813565004352151818\n",
-      "   2 False\t8813565004352151818\t>\t5545527813297656964\n",
-      "   3 False\t5545527813297656964\t>\t3494716712779964681\n",
-      "   4 False\t3494716712779964681\t>\t208470001966835805\n",
-      "   5 False\t208470001966835805\t>\t188211069054900859\n",
-      "   6 False\t188211069054900859\t>\t111528458295672744\n",
-      "   7 False\t111528458295672744\t>\t95882931706563873\n",
-      "   2 True\t95882931706563873\t<\t7104782247606282825\n",
-      "   2 False\t7104782247606282825\t>\t264829608543855510\n",
-      "   3 False\t264829608543855510\t>\t186633722323945658\n",
-      "   4 False\t186633722323945658\t>\t120352944785730484\n",
-      "   5 False\t120352944785730484\t>\t23749789873542233\n",
-      "   6 False\t23749789873542233\t>\t20761176396813884\n",
-      "   7 False\t20761176396813884\t>\t5044360307411690\n",
-      "   2 True\t5044360307411690\t<\t3795491524362327255\n",
-      "   3 True\t3795491524362327255\t<\t7069718388927025829\n",
-      "   4 True\t7069718388927025829\t<\t7166128233650631213\n",
-      "   5 True\t7166128233650631213\t<\t7231119504547560994\n",
-      "   6 True\t7231119504547560994\t<\t9103565631907355873\n",
-      "   2 False\t9103565631907355873\t>\t2235355196105601896\n",
-      "   2 True\t2235355196105601896\t<\t5815575879495985793\n",
-      "   1 True\t5815575879495985793\t=\t5815575879495985793\n",
-      "   2 False\t5815575879495985793\t>\t4349006231866919958\n",
-      "   2 True\t4349006231866919958\t<\t7177949879099177538\n",
-      "   2 False\t7177949879099177538\t>\t4626044838599064214\n",
-      "   3 False\t4626044838599064214\t>\t4407043503679128192\n",
-      "   2 True\t4407043503679128192\t<\t7783264982681767879\n",
-      "   3 True\t7783264982681767879\t<\t8085860350973078043\n",
-      "   4 True\t8085860350973078043\t<\t8560323715209375965\n",
-      "   2 False\t8560323715209375965\t>\t4384073918598280627\n",
-      "   2 True\t4384073918598280627\t<\t6727301039453881748\n",
-      "   2 False\t6727301039453881748\t>\t3248837308577520512\n",
-      "   3 False\t3248837308577520512\t>\t2274747369645959645\n",
-      "   4 False\t2274747369645959645\t>\t1431762653252924726\n",
-      "   2 True\t1431762653252924726\t<\t5750416854104834574\n",
-      "   3 True\t5750416854104834574\t<\t7455305343075435782\n",
-      "   2 False\t7455305343075435782\t>\t5007792589064436621\n",
-      "   3 False\t5007792589064436621\t>\t2074321706195903543\n",
-      "   4 False\t2074321706195903543\t>\t1048027555768693028\n",
-      "   5 False\t1048027555768693028\t>\t336277751153339963\n",
-      "   6 False\t336277751153339963\t>\t206132422858680252\n",
-      "   7 False\t206132422858680252\t>\t158466545980289561\n",
-      "   1 False\t158466545980289561\t=\t158466545980289561\n",
-      "   2 False\t158466545980289561\t>\t48858978367440516\n",
-      "   3 False\t48858978367440516\t>\t13318436638080534\n",
-      "   4 False\t13318436638080534\t>\t8432231963331087\n",
-      "   2 True\t8432231963331087\t<\t7775367174134814428\n",
-      "   3 True\t7775367174134814428\t<\t8566790815076006794\n",
-      "   4 True\t8566790815076006794\t<\t8685506854212477618\n",
-      "   2 False\t8685506854212477618\t>\t2573435466558174161\n",
-      "   2 True\t2573435466558174161\t<\t4362061052226039583\n",
-      "   3 True\t4362061052226039583\t<\t5796786722406545571\n",
-      "   2 False\t5796786722406545571\t>\t2538367648374930882\n",
-      "   3 False\t2538367648374930882\t>\t1434733875465278285\n",
-      "   4 False\t1434733875465278285\t>\t706445628746446917\n",
-      "   5 False\t706445628746446917\t>\t436408216868775340\n",
-      "   6 False\t436408216868775340\t>\t85836012810065794\n",
-      "   7 False\t85836012810065794\t>\t16250624284440919\n",
-      "   8 False\t16250624284440919\t>\t10882874638575240\n",
-      "   9 False\t10882874638575240\t>\t6021137887784168\n",
-      "  10 False\t6021137887784168\t>\t1988427794899928\n",
-      "  11 False\t1988427794899928\t>\t1628864412484302\n",
-      "   1 False\t1628864412484302\t=\t1628864412484302\n",
-      "   2 False\t1628864412484302\t>\t564117826122934\n",
-      "   3 False\t564117826122934\t>\t319735060086653\n",
-      "   2 True\t319735060086653\t<\t2342279882380199361\n",
-      "   3 True\t2342279882380199361\t<\t7399312067157902589\n",
-      "   4 True\t7399312067157902589\t<\t8284137689629203457\n",
-      "   5 True\t8284137689629203457\t<\t8964490787612544616\n",
-      "   6 True\t8964490787612544616\t<\t9078708313920220018\n",
-      "   2 False\t9078708313920220018\t>\t8641809817338205919\n",
-      "   2 True\t8641809817338205919\t<\t8936782534517262277\n",
-      "   3 True\t8936782534517262277\t<\t9027573944956970391\n",
-      "   4 True\t9027573944956970391\t<\t9037921416080570181\n",
-      "   2 False\t9037921416080570181\t>\t5567289689556503871\n",
-      "   2 True\t5567289689556503871\t<\t8379496211777243985\n",
-      "   3 True\t8379496211777243985\t<\t8518629349629723582\n",
-      "   2 False\t8518629349629723582\t>\t403350710350401505\n",
-      "   2 True\t403350710350401505\t<\t9222595116655464772\n",
-      "   3 True\t9222595116655464772\t<\t9222716168914339130\n",
-      "   2 False\t9222716168914339130\t>\t1439601494302717713\n",
-      "   3 False\t1439601494302717713\t>\t1306562560457943307\n",
-      "   4 False\t1306562560457943307\t>\t214825479982860738\n",
-      "   2 True\t214825479982860738\t<\t1614266218676800367\n",
-      "   3 True\t1614266218676800367\t<\t1890587981923369117\n",
-      "   4 True\t1890587981923369117\t<\t2369365622366578616\n",
-      "   5 True\t2369365622366578616\t<\t4722029422208187249\n",
-      "   6 True\t4722029422208187249\t<\t6975944638208528378\n",
-      "   7 True\t6975944638208528378\t<\t8901997820815539499\n",
-      "   8 True\t8901997820815539499\t<\t9176673209962205316\n",
-      "   9 True\t9176673209962205316\t<\t9196176927753810645\n",
-      "  10 True\t9196176927753810645\t<\t9206862591299037416\n",
-      "  11 True\t9206862591299037416\t<\t9210624095272493290\n",
-      "   2 False\t9210624095272493290\t>\t7056680228921370602\n",
-      "   3 False\t7056680228921370602\t>\t1344011361748185733\n",
-      "   4 False\t1344011361748185733\t>\t260660776209090851\n",
-      "   5 False\t260660776209090851\t>\t243190677257348601\n",
-      "   6 False\t243190677257348601\t>\t128963595942533683\n",
-      "   7 False\t128963595942533683\t>\t108529009208824860\n",
-      "   8 False\t108529009208824860\t>\t32364278567726682\n",
-      "   9 False\t32364278567726682\t>\t7007587224703625\n",
-      "   2 True\t7007587224703625\t<\t2501164771675526330\n",
-      "   3 True\t2501164771675526330\t<\t3080953363756603772\n",
-      "   1 True\t3080953363756603772\t=\t3080953363756603772\n",
-      "   2 True\t3080953363756603772\t<\t8468551127904423938\n",
-      "   1 True\t8468551127904423938\t=\t8468551127904423938\n",
-      "   2 True\t8468551127904423938\t<\t8682545119722350707\n",
-      "   3 True\t8682545119722350707\t<\t9020830341408547698\n",
-      "   2 False\t9020830341408547698\t>\t6955523570157888326\n",
-      "   3 False\t6955523570157888326\t>\t6954545802325764404\n",
-      "   4 False\t6954545802325764404\t>\t2049350345849583023\n",
-      "   5 False\t2049350345849583023\t>\t1237057801250598594\n",
-      "   6 False\t1237057801250598594\t>\t912457635729075566\n",
-      "   2 True\t912457635729075566\t<\t7589847882997704300\n",
-      "   3 True\t7589847882997704300\t<\t8389413861915835318\n",
-      "   4 True\t8389413861915835318\t<\t9168997820847253708\n",
-      "   5 True\t9168997820847253708\t<\t9178882567695155051\n",
-      "   6 True\t9178882567695155051\t<\t9191513808702549719\n",
-      "   7 True\t9191513808702549719\t<\t9192410235397866591\n",
-      "   8 True\t9192410235397866591\t<\t9221604713886521949\n",
-      "   1 True\t9221604713886521949\t=\t9221604713886521949\n",
-      "   2 True\t9221604713886521949\t<\t9222586482020505377\n",
-      "   2 False\t9222586482020505377\t>\t5378858965809654475\n",
-      "   3 False\t5378858965809654475\t>\t68168130313755582\n",
-      "   4 False\t68168130313755582\t>\t5350783755039656\n",
-      "   5 False\t5350783755039656\t>\t3219229566835018\n",
-      "   6 False\t3219229566835018\t>\t2719702379728175\n",
-      "   7 False\t2719702379728175\t>\t1173327261501766\n",
-      "   8 False\t1173327261501766\t>\t329040657493273\n",
-      "   9 False\t329040657493273\t>\t37265552630304\n",
-      "  10 False\t37265552630304\t>\t6257793254044\n",
-      "   2 True\t6257793254044\t<\t8846495983119122273\n",
-      "   3 True\t8846495983119122273\t<\t8985553008818196322\n",
-      "   2 False\t8985553008818196322\t>\t7106063329436486173\n",
-      "   3 False\t7106063329436486173\t>\t6601826341409728236\n",
-      "   4 False\t6601826341409728236\t>\t1329235024904819054\n",
-      "   5 False\t1329235024904819054\t>\t583256003308842278\n",
-      "   6 False\t583256003308842278\t>\t550091154005710108\n",
-      "   7 False\t550091154005710108\t>\t250744867657011434\n",
-      "   8 False\t250744867657011434\t>\t81004460550595933\n",
-      "   9 False\t81004460550595933\t>\t21122501672477940\n",
-      "  10 False\t21122501672477940\t>\t10951833902865320\n",
-      "  11 False\t10951833902865320\t>\t4040604524686046\n",
-      "  12 False\t4040604524686046\t>\t3219189756675703\n",
-      "  13 False\t3219189756675703\t>\t2173495662558073\n",
-      "  14 False\t2173495662558073\t>\t135352900893136\n",
-      "  15 False\t135352900893136\t>\t128004594337449\n",
-      "  16 False\t128004594337449\t>\t81033948755928\n",
-      "  17 False\t81033948755928\t>\t27312986784559\n",
-      "  18 False\t27312986784559\t>\t22600443847874\n",
-      "  19 False\t22600443847874\t>\t19820448032653\n",
-      "  20 False\t19820448032653\t>\t7238524822572\n",
-      "  21 False\t7238524822572\t>\t4666681599168\n",
-      "  22 False\t4666681599168\t>\t48114740552\n",
-      "  23 False\t48114740552\t>\t43203619303\n",
-      "  24 False\t43203619303\t>\t7332960349\n",
-      "   2 True\t7332960349\t<\t3252020698703313201\n",
-      "   2 False\t3252020698703313201\t>\t623530466918730251\n",
-      "   3 False\t623530466918730251\t>\t240428765508166328\n",
-      "   4 False\t240428765508166328\t>\t29764330906851193\n",
-      "   5 False\t29764330906851193\t>\t9424320847274795\n",
-      "   6 False\t9424320847274795\t>\t3657761627220222\n",
-      "   2 True\t3657761627220222\t<\t4642032787901623174\n",
-      "   3 True\t4642032787901623174\t<\t6012796289796691984\n",
-      "   4 True\t6012796289796691984\t<\t6395310703809329917\n",
-      "   5 True\t6395310703809329917\t<\t9083522774133899622\n",
-      "   2 False\t9083522774133899622\t>\t4990254614274187565\n",
-      "   1 False\t4990254614274187565\t=\t4990254614274187565\n",
-      "   2 True\t4990254614274187565\t<\t6513355160357872436\n",
-      "   3 True\t6513355160357872436\t<\t6542074070526292066\n",
-      "   2 False\t6542074070526292066\t>\t4184333766771089199\n",
-      "   3 False\t4184333766771089199\t>\t2219779000447452424\n",
-      "   4 False\t2219779000447452424\t>\t1557092148821565751\n",
-      "   5 False\t1557092148821565751\t>\t480212947532520103\n",
-      "   6 False\t480212947532520103\t>\t377988126193868509\n",
-      "   7 False\t377988126193868509\t>\t229009192857428142\n",
-      "   8 False\t229009192857428142\t>\t138567264146923389\n",
-      "   9 False\t138567264146923389\t>\t75569253477129341\n",
-      "  10 False\t75569253477129341\t>\t50617504503646251\n",
-      "   2 True\t50617504503646251\t<\t126453971194055378\n",
-      "   2 False\t126453971194055378\t>\t110785988978258557\n",
-      "   3 False\t110785988978258557\t>\t88378886303813132\n",
-      "   4 False\t88378886303813132\t>\t1898346510157245\n",
-      "   5 False\t1898346510157245\t>\t1313302962127002\n",
-      "   2 True\t1313302962127002\t<\t8837062056178207551\n",
-      "   3 True\t8837062056178207551\t<\t9187279406198082286\n",
-      "   4 True\t9187279406198082286\t<\t9201350668035547318\n",
-      "   5 True\t9201350668035547318\t<\t9215995551529702034\n",
-      "   6 True\t9215995551529702034\t<\t9222729266489572483\n",
-      "   2 False\t9222729266489572483\t>\t77950121807665516\n",
-      "   3 False\t77950121807665516\t>\t25735634038652509\n",
-      "   4 False\t25735634038652509\t>\t25289960817921695\n",
-      "   5 False\t25289960817921695\t>\t23625517784219772\n",
-      "   6 False\t23625517784219772\t>\t13404119355959297\n",
-      "   7 False\t13404119355959297\t>\t13129682337809247\n",
-      "   2 True\t13129682337809247\t<\t5781772640159015797\n",
-      "   3 True\t5781772640159015797\t<\t7155621606038936805\n",
-      "   4 True\t7155621606038936805\t<\t8449682032496491889\n",
-      "   5 True\t8449682032496491889\t<\t9012567141299436266\n",
-      "   6 True\t9012567141299436266\t<\t9152993977536419072\n",
-      "   7 True\t9152993977536419072\t<\t9203520654289608129\n",
-      "   8 True\t9203520654289608129\t<\t9213839776545137221\n",
-      "   9 True\t9213839776545137221\t<\t9222013382101140038\n",
-      "  10 True\t9222013382101140038\t<\t9222858854484393773\n",
-      "   2 False\t9222858854484393773\t>\t1793557614405985967\n",
-      "   3 False\t1793557614405985967\t>\t322737965012714343\n",
-      "   4 False\t322737965012714343\t>\t288878575664570814\n",
-      "   5 False\t288878575664570814\t>\t98189816000679830\n",
-      "   6 False\t98189816000679830\t>\t2514557226018482\n",
-      "   7 False\t2514557226018482\t>\t1313960634454523\n",
-      "   8 False\t1313960634454523\t>\t1286371446699455\n",
-      "   2 True\t1286371446699455\t<\t8082534449593812454\n",
-      "   3 True\t8082534449593812454\t<\t8823775456272506373\n",
-      "   4 True\t8823775456272506373\t<\t8971982511260279573\n",
-      "   2 False\t8971982511260279573\t>\t2762354452701946193\n",
-      "   3 False\t2762354452701946193\t>\t1075157995830419625\n",
-      "   4 False\t1075157995830419625\t>\t85581181561344692\n",
-      "   5 False\t85581181561344692\t>\t29680379224420286\n",
-      "   6 False\t29680379224420286\t>\t8840899774509234\n",
-      "   7 False\t8840899774509234\t>\t50430370536822\n",
-      "   8 False\t50430370536822\t>\t8738965785544\n",
-      "   9 False\t8738965785544\t>\t6327382480117\n",
-      "  10 False\t6327382480117\t>\t2096890261044\n",
-      "  11 False\t2096890261044\t>\t925697585913\n",
-      "   2 True\t925697585913\t<\t1521329939331730778\n",
-      "   3 True\t1521329939331730778\t<\t5202008147763494745\n",
-      "   2 False\t5202008147763494745\t>\t3395191426554134809\n",
-      "   3 False\t3395191426554134809\t>\t3067992149315789253\n",
-      "   4 False\t3067992149315789253\t>\t2661745798321614756\n",
-      "   2 True\t2661745798321614756\t<\t9218576849556850226\n",
-      "   3 True\t9218576849556850226\t<\t9222884769244086526\n",
-      "   2 False\t9222884769244086526\t>\t3905420407372422560\n",
-      "   3 False\t3905420407372422560\t>\t341717260045412063\n",
-      "   1 False\t341717260045412063\t=\t341717260045412063\n",
-      "   2 True\t341717260045412063\t<\t852127308996542648\n",
-      "   3 True\t852127308996542648\t<\t5917522442778060744\n",
-      "   4 True\t5917522442778060744\t<\t8091644646406438675\n",
-      "   5 True\t8091644646406438675\t<\t8184796577600534619\n",
-      "   6 True\t8184796577600534619\t<\t8828112594626975601\n",
-      "   2 False\t8828112594626975601\t>\t4587012411681092904\n",
-      "   3 False\t4587012411681092904\t>\t1611883388786721897\n",
-      "   2 True\t1611883388786721897\t<\t9220457812907938909\n",
-      "   3 True\t9220457812907938909\t<\t9220766968184245296\n",
-      "   4 True\t9220766968184245296\t<\t9222215169425114492\n",
-      "   2 False\t9222215169425114492\t>\t7457714424168636176\n",
-      "   3 False\t7457714424168636176\t>\t5429150631501207244\n",
-      "   2 True\t5429150631501207244\t<\t6228250194817795004\n",
-      "   3 True\t6228250194817795004\t<\t8617337228447561883\n",
-      "   4 True\t8617337228447561883\t<\t8841955551123149818\n",
-      "   5 True\t8841955551123149818\t<\t9058527784432676840\n",
-      "   6 True\t9058527784432676840\t<\t9175032555854525929\n",
-      "   2 False\t9175032555854525929\t>\t5619908053095782701\n",
-      "   3 False\t5619908053095782701\t>\t3069032903783994686\n",
-      "   2 True\t3069032903783994686\t<\t5621871278109090843\n",
-      "   2 False\t5621871278109090843\t>\t4346466308131137286\n",
-      "   3 False\t4346466308131137286\t>\t2771489553029678938\n",
-      "   2 True\t2771489553029678938\t<\t4416808321566408608\n",
-      "   3 True\t4416808321566408608\t<\t6781521182959541986\n",
-      "   4 True\t6781521182959541986\t<\t7577371136811773413\n",
-      "   5 True\t7577371136811773413\t<\t8562684551236524152\n",
-      "   6 True\t8562684551236524152\t<\t8826319421690522441\n",
-      "   2 False\t8826319421690522441\t>\t8789921067562702236\n",
-      "   1 False\t8789921067562702236\t=\t8789921067562702236\n",
-      "   2 False\t8789921067562702236\t>\t6661294480165283140\n",
-      "   3 False\t6661294480165283140\t>\t3669273161926600086\n",
-      "   4 False\t3669273161926600086\t>\t3084791884062512091\n",
-      "   5 False\t3084791884062512091\t>\t3063308384564457149\n",
-      "   6 False\t3063308384564457149\t>\t2557377687302715395\n",
-      "   7 False\t2557377687302715395\t>\t1772387526645364740\n",
-      "   8 False\t1772387526645364740\t>\t609154079244499281\n",
-      "   9 False\t609154079244499281\t>\t322392442324287530\n",
-      "  10 False\t322392442324287530\t>\t296717548936841183\n",
-      "  11 False\t296717548936841183\t>\t31676312998020297\n",
-      "  12 False\t31676312998020297\t>\t13676503589364790\n",
-      "  13 False\t13676503589364790\t>\t13491957532979155\n",
-      "  14 False\t13491957532979155\t>\t10876393853128672\n",
-      "   2 True\t10876393853128672\t<\t4009869085604806999\n",
-      "   3 True\t4009869085604806999\t<\t7269724243661490246\n",
-      "   2 False\t7269724243661490246\t>\t5145797844537270341\n",
-      "   2 True\t5145797844537270341\t<\t8529140556160732520\n",
-      "   3 True\t8529140556160732520\t<\t8939117332283713488\n",
-      "   4 True\t8939117332283713488\t<\t9207689412310841529\n",
-      "   2 False\t9207689412310841529\t>\t4556651894502785418\n",
-      "   2 True\t4556651894502785418\t<\t8779180950406862741\n",
-      "   3 True\t8779180950406862741\t<\t9073193862952879302\n",
-      "   4 True\t9073193862952879302\t<\t9073839741323358446\n",
-      "   5 True\t9073839741323358446\t<\t9201120645628743535\n",
-      "   6 True\t9201120645628743535\t<\t9211840407798707335\n",
-      "   7 True\t9211840407798707335\t<\t9221787082579193983\n",
-      "   8 True\t9221787082579193983\t<\t9223260700310731553\n",
-      "   9 True\t9223260700310731553\t<\t9223306080727145672\n",
-      "  10 True\t9223306080727145672\t<\t9223328160129958445\n",
-      "  11 True\t9223328160129958445\t<\t9223352619267105852\n",
-      "  12 True\t9223352619267105852\t<\t9223355648808065948\n",
-      "   2 False\t9223355648808065948\t>\t3612211950278398214\n",
-      "   2 True\t3612211950278398214\t<\t4195287606766221469\n",
-      "   2 False\t4195287606766221469\t>\t392744759236330802\n",
-      "   3 False\t392744759236330802\t>\t359338700898284973\n",
-      "   4 False\t359338700898284973\t>\t115085233238254971\n",
-      "   5 False\t115085233238254971\t>\t58646842246283873\n",
-      "   6 False\t58646842246283873\t>\t32219663519551635\n",
-      "   2 True\t32219663519551635\t<\t2472218197637447182\n",
-      "   2 False\t2472218197637447182\t>\t327283118096868372\n",
-      "   3 False\t327283118096868372\t>\t107434455111307478\n",
-      "   4 False\t107434455111307478\t>\t36907886354524190\n",
-      "   5 False\t36907886354524190\t>\t11726305862654699\n",
-      "   2 True\t11726305862654699\t<\t8843044838600779637\n",
-      "   3 True\t8843044838600779637\t<\t9073745551636486885\n",
-      "   4 True\t9073745551636486885\t<\t9149656047633302974\n",
-      "   2 False\t9149656047633302974\t>\t946629359114542250\n",
-      "   2 True\t946629359114542250\t<\t6484885138671288587\n",
-      "   2 False\t6484885138671288587\t>\t6448187011030913802\n",
-      "   3 False\t6448187011030913802\t>\t5617001247388254240\n",
-      "   4 False\t5617001247388254240\t>\t4030088225543387419\n",
-      "   2 True\t4030088225543387419\t<\t5601524212536291476\n",
-      "   3 True\t5601524212536291476\t<\t6508810468591609625\n",
-      "   2 False\t6508810468591609625\t>\t1298480905096613822\n",
-      "   3 False\t1298480905096613822\t>\t248540565185887745\n",
-      "   1 False\t248540565185887745\t=\t248540565185887745\n",
-      "   2 False\t248540565185887745\t>\t236095536027465784\n",
-      "   3 False\t236095536027465784\t>\t97541221134276052\n",
-      "   4 False\t97541221134276052\t>\t28146599573953658\n",
-      "   5 False\t28146599573953658\t>\t19140892972744679\n",
-      "   6 False\t19140892972744679\t>\t2454723188490775\n",
-      "   7 False\t2454723188490775\t>\t2310008081800900\n",
-      "   2 True\t2310008081800900\t<\t2065216595739381665\n",
-      "   3 True\t2065216595739381665\t<\t3294062049359499610\n",
-      "   2 False\t3294062049359499610\t>\t2265638871246148663\n",
-      "   2 True\t2265638871246148663\t<\t3493901857009740557\n",
-      "   3 True\t3493901857009740557\t<\t6027061483555402189\n",
-      "   4 True\t6027061483555402189\t<\t7366583388954765389\n",
-      "   2 False\t7366583388954765389\t>\t4587451384410242982\n",
-      "   2 True\t4587451384410242982\t<\t5442372564075869782\n",
-      "   3 True\t5442372564075869782\t<\t6668604867371383145\n",
-      "   4 True\t6668604867371383145\t<\t9150683688189324856\n",
-      "   2 False\t9150683688189324856\t>\t4853752581467282809\n",
-      "   3 False\t4853752581467282809\t>\t2112653560232550995\n",
-      "   4 False\t2112653560232550995\t>\t1134395113352899310\n",
-      "   5 False\t1134395113352899310\t>\t1081724777923082793\n",
-      "   6 False\t1081724777923082793\t>\t640833016297347477\n",
-      "   7 False\t640833016297347477\t>\t508146897351365412\n",
-      "   8 False\t508146897351365412\t>\t206943849715623787\n",
-      "   2 True\t206943849715623787\t<\t6997700631112589167\n",
-      "   1 True\t6997700631112589167\t=\t6997700631112589167\n",
-      "   2 False\t6997700631112589167\t>\t1255918468859589598\n",
-      "   2 True\t1255918468859589598\t<\t1528560809290038262\n",
-      "   3 True\t1528560809290038262\t<\t6660188391071996460\n",
-      "   2 False\t6660188391071996460\t>\t663770062972787676\n",
-      "   3 False\t663770062972787676\t>\t137088339820532899\n",
-      "   2 True\t137088339820532899\t<\t7356928760090064345\n",
-      "   3 True\t7356928760090064345\t<\t9014652309976277548\n",
-      "   4 True\t9014652309976277548\t<\t9089962068256646559\n",
-      "   5 True\t9089962068256646559\t<\t9107536928543736742\n",
-      "   6 True\t9107536928543736742\t<\t9160650379063934201\n",
-      "   7 True\t9160650379063934201\t<\t9185932680861770955\n",
-      "   1 True\t9185932680861770955\t=\t9185932680861770955\n",
-      "   2 False\t9185932680861770955\t>\t652570004164607582\n",
-      "   2 True\t652570004164607582\t<\t1508864577842483560\n",
-      "   3 True\t1508864577842483560\t<\t7031195149049988788\n",
-      "   2 False\t7031195149049988788\t>\t960288884779013502\n",
-      "   3 False\t960288884779013502\t>\t859893800611039930\n",
-      "   2 True\t859893800611039930\t<\t2021957716715289081\n",
-      "   3 True\t2021957716715289081\t<\t8615024176193329688\n",
-      "   4 True\t8615024176193329688\t<\t9048331959511336358\n",
-      "   2 False\t9048331959511336358\t>\t1004642737571622087\n",
-      "   3 False\t1004642737571622087\t>\t545145973576953419\n",
-      "   4 False\t545145973576953419\t>\t345914742026363898\n",
-      "   2 True\t345914742026363898\t<\t1842121138881186898\n",
-      "   3 True\t1842121138881186898\t<\t2123545213546496572\n",
-      "   4 True\t2123545213546496572\t<\t6112590791711825636\n",
-      "   5 True\t6112590791711825636\t<\t8053485997303842076\n",
-      "   6 True\t8053485997303842076\t<\t8175984424399191059\n",
-      "   7 True\t8175984424399191059\t<\t8364625301354299945\n",
-      "   8 True\t8364625301354299945\t<\t8727593515805354941\n",
-      "   9 True\t8727593515805354941\t<\t8989643421616103795\n",
-      "  10 True\t8989643421616103795\t<\t9172210972129543698\n",
-      "   2 False\t9172210972129543698\t>\t5687262284005289574\n",
-      "   2 True\t5687262284005289574\t<\t8829418746647698898\n",
-      "   2 False\t8829418746647698898\t>\t1306793507814025259\n",
-      "   3 False\t1306793507814025259\t>\t222090627777484690\n",
-      "   1 False\t222090627777484690\t=\t222090627777484690\n",
-      "   2 True\t222090627777484690\t<\t8457135554637653660\n",
-      "   3 True\t8457135554637653660\t<\t8487341766040235383\n",
-      "   2 False\t8487341766040235383\t>\t6333379010074939994\n",
-      "   3 False\t6333379010074939994\t>\t5185461893523581621\n",
-      "   4 False\t5185461893523581621\t>\t1457427325017041150\n",
-      "   2 True\t1457427325017041150\t<\t7381906760168072817\n",
-      "   1 True\t7381906760168072817\t=\t7381906760168072817\n",
-      "   2 True\t7381906760168072817\t<\t9024081838700210612\n",
-      "   1 True\t9024081838700210612\t=\t9024081838700210612\n",
-      "   2 True\t9024081838700210612\t<\t9048080312275616923\n",
-      "   1 True\t9048080312275616923\t=\t9048080312275616923\n",
-      "   2 True\t9048080312275616923\t<\t9183751622140647850\n",
-      "   3 True\t9183751622140647850\t<\t9206961275728212080\n",
-      "   2 False\t9206961275728212080\t>\t8080581012951149372\n",
-      "   3 False\t8080581012951149372\t>\t5525836060809664047\n",
-      "   2 True\t5525836060809664047\t<\t5677070255707404344\n",
-      "   3 True\t5677070255707404344\t<\t9035081792137580111\n",
-      "   4 True\t9035081792137580111\t<\t9046302654846450817\n",
-      "   2 False\t9046302654846450817\t>\t3454009464942519167\n",
-      "   3 False\t3454009464942519167\t>\t20689713220473535\n",
-      "   4 False\t20689713220473535\t>\t16132119828535983\n",
-      "   5 False\t16132119828535983\t>\t5644292209628544\n",
-      "   1 False\t5644292209628544\t=\t5644292209628544\n",
-      "   2 True\t5644292209628544\t<\t6295629920701533641\n",
-      "   3 True\t6295629920701533641\t<\t7970737515112179955\n",
-      "   2 False\t7970737515112179955\t>\t3618523698382865200\n",
-      "   2 True\t3618523698382865200\t<\t4928956056477975000\n",
-      "   2 False\t4928956056477975000\t>\t4445753120670637387\n",
-      "   3 False\t4445753120670637387\t>\t3270591873316833605\n",
-      "   4 False\t3270591873316833605\t>\t994800570048709216\n",
-      "   5 False\t994800570048709216\t>\t404543247019826422\n",
-      "   2 True\t404543247019826422\t<\t6761457800367836226\n",
-      "   2 False\t6761457800367836226\t>\t4469381417877262471\n",
-      "   3 False\t4469381417877262471\t>\t421226983666356279\n",
-      "   4 False\t421226983666356279\t>\t147019298966203074\n",
-      "   1 False\t147019298966203074\t=\t147019298966203074\n",
-      "   2 True\t147019298966203074\t<\t915538320910430213\n",
-      "   3 True\t915538320910430213\t<\t2629604465963440199\n",
-      "   4 True\t2629604465963440199\t<\t5358376280631099692\n",
-      "   5 True\t5358376280631099692\t<\t8310507862604444075\n",
-      "   6 True\t8310507862604444075\t<\t8330019018290619179\n",
-      "   7 True\t8330019018290619179\t<\t8863361977586223580\n",
-      "   8 True\t8863361977586223580\t<\t9022138778392137101\n",
-      "   9 True\t9022138778392137101\t<\t9123339533161810864\n",
-      "  10 True\t9123339533161810864\t<\t9157426238169183633\n",
-      "  11 True\t9157426238169183633\t<\t9198600678300346880\n",
-      "  12 True\t9198600678300346880\t<\t9202055552533927415\n",
-      "  13 True\t9202055552533927415\t<\t9223022737895676143\n",
-      "  14 True\t9223022737895676143\t<\t9223287027959157764\n",
-      "  15 True\t9223287027959157764\t<\t9223304987602999969\n",
-      "  16 True\t9223304987602999969\t<\t9223337952079977547\n",
-      "  17 True\t9223337952079977547\t<\t9223358271276659080\n",
-      "  18 True\t9223358271276659080\t<\t9223360288985735014\n",
-      "  19 True\t9223360288985735014\t<\t9223370776586009170\n",
-      "  20 True\t9223370776586009170\t<\t9223371469324142435\n",
-      "   1 True\t9223371469324142435\t=\t9223371469324142435\n",
-      "   2 True\t9223371469324142435\t<\t9223371815640300573\n",
-      "   3 True\t9223371815640300573\t<\t9223371833766387446\n",
-      "   4 True\t9223371833766387446\t<\t9223372008436795289\n",
-      "   5 True\t9223372008436795289\t<\t9223372021814347751\n",
-      "   6 True\t9223372021814347751\t<\t9223372024942795696\n",
-      "   7 True\t9223372024942795696\t<\t9223372032109677101\n",
-      "   8 True\t9223372032109677101\t<\t9223372034090692620\n",
-      "   2 False\t9223372034090692620\t>\t4417708706078000638\n",
-      "   2 True\t4417708706078000638\t<\t6445985428492776223\n",
-      "   3 True\t6445985428492776223\t<\t8936681893458979791\n",
-      "   4 True\t8936681893458979791\t<\t9110295695376896006\n",
-      "   5 True\t9110295695376896006\t<\t9157959271968716547\n",
-      "   2 False\t9157959271968716547\t>\t3696009794038366408\n",
-      "   3 False\t3696009794038366408\t>\t2567229776095217512\n",
-      "   2 True\t2567229776095217512\t<\t8224775779138419865\n",
-      "   3 True\t8224775779138419865\t<\t9042275394409251697\n",
-      "   4 True\t9042275394409251697\t<\t9174026722178042390\n",
-      "   5 True\t9174026722178042390\t<\t9201772299787447176\n",
-      "   1 True\t9201772299787447176\t=\t9201772299787447176\n",
-      "   2 True\t9201772299787447176\t<\t9214201386742346459\n",
-      "   2 False\t9214201386742346459\t>\t5467199911598136429\n",
-      "   1 False\t5467199911598136429\t=\t5467199911598136429\n",
-      "   2 False\t5467199911598136429\t>\t4359132521297034085\n",
-      "   3 False\t4359132521297034085\t>\t3442865233489494938\n",
-      "   4 False\t3442865233489494938\t>\t921728902123895347\n",
-      "   5 False\t921728902123895347\t>\t73172310400635907\n",
-      "   6 False\t73172310400635907\t>\t5358140068455847\n",
-      "   7 False\t5358140068455847\t>\t718491760276349\n",
-      "   8 False\t718491760276349\t>\t380806210455262\n",
-      "   9 False\t380806210455262\t>\t278870069727805\n",
-      "  10 False\t278870069727805\t>\t93530806744976\n",
-      "  11 False\t93530806744976\t>\t93374251632942\n",
-      "  12 False\t93374251632942\t>\t87272601997994\n",
-      "   2 True\t87272601997994\t<\t829810206772065671\n",
-      "   2 False\t829810206772065671\t>\t361238133599900974\n",
-      "   3 False\t361238133599900974\t>\t172540714143937618\n",
-      "   4 False\t172540714143937618\t>\t44104469351501353\n",
-      "   5 False\t44104469351501353\t>\t35402109158102340\n",
-      "   6 False\t35402109158102340\t>\t5358048800154704\n",
-      "   1 False\t5358048800154704\t=\t5358048800154704\n",
-      "   2 True\t5358048800154704\t<\t7125903690707700233\n",
-      "   3 True\t7125903690707700233\t<\t7146455137640795049\n",
-      "   2 False\t7146455137640795049\t>\t1077826367882995163\n",
-      "   3 False\t1077826367882995163\t>\t561679906453205209\n",
-      "   4 False\t561679906453205209\t>\t309423344260164481\n",
-      "   5 False\t309423344260164481\t>\t79315089850208421\n",
-      "   6 False\t79315089850208421\t>\t78224323560907155\n",
-      "   7 False\t78224323560907155\t>\t67327356365318477\n",
-      "   2 True\t67327356365318477\t<\t8264769194338097769\n",
-      "   3 True\t8264769194338097769\t<\t8939885486950087634\n",
-      "   4 True\t8939885486950087634\t<\t9201601884040584805\n",
-      "   2 False\t9201601884040584805\t>\t4081744868217434946\n",
-      "   3 False\t4081744868217434946\t>\t2041686771404650967\n",
-      "   4 False\t2041686771404650967\t>\t1721889402771865374\n",
-      "   5 False\t1721889402771865374\t>\t898595560520615067\n",
-      "   6 False\t898595560520615067\t>\t566812887649362489\n",
-      "   7 False\t566812887649362489\t>\t411241498088464682\n",
-      "   8 False\t411241498088464682\t>\t177106245476300688\n",
-      "   9 False\t177106245476300688\t>\t56473357708693892\n",
-      "  10 False\t56473357708693892\t>\t5331099185043379\n",
-      "  11 False\t5331099185043379\t>\t1774638563732646\n",
-      "  12 False\t1774638563732646\t>\t992657268773999\n",
-      "  13 False\t992657268773999\t>\t381169823145050\n",
-      "  14 False\t381169823145050\t>\t3536193238671\n",
-      "   2 True\t3536193238671\t<\t8636657977568159307\n",
-      "   3 True\t8636657977568159307\t<\t8683175922315224306\n",
-      "   4 True\t8683175922315224306\t<\t8804513436039723738\n",
-      "   2 False\t8804513436039723738\t>\t2374765702145918770\n",
-      "   1 False\t2374765702145918770\t=\t2374765702145918770\n",
-      "   2 True\t2374765702145918770\t<\t3047961712356933251\n",
-      "   1 True\t3047961712356933251\t=\t3047961712356933251\n",
-      "   2 False\t3047961712356933251\t>\t2201876365988383224\n",
-      "   3 False\t2201876365988383224\t>\t786183029495174352\n",
-      "   4 False\t786183029495174352\t>\t623290168484319424\n",
-      "   5 False\t623290168484319424\t>\t604485229998915517\n",
-      "   6 False\t604485229998915517\t>\t40711760870787341\n",
-      "   7 False\t40711760870787341\t>\t36346336513645601\n",
-      "   8 False\t36346336513645601\t>\t31151421129340890\n",
-      "   9 False\t31151421129340890\t>\t190487452007110\n",
-      "  10 False\t190487452007110\t>\t30805766851036\n",
-      "  11 False\t30805766851036\t>\t666515334499\n",
-      "  12 False\t666515334499\t>\t478734540857\n",
-      "  13 False\t478734540857\t>\t174189166927\n",
-      "  14 False\t174189166927\t>\t123448795514\n",
-      "  15 False\t123448795514\t>\t35448635414\n",
-      "  16 False\t35448635414\t>\t10702242773\n",
-      "   2 True\t10702242773\t<\t7069915581935424739\n",
-      "   3 True\t7069915581935424739\t<\t8583293210338113902\n",
-      "   4 True\t8583293210338113902\t<\t9201466852000871186\n",
-      "   2 False\t9201466852000871186\t>\t7091719396649190759\n",
-      "   3 False\t7091719396649190759\t>\t5770240464436076774\n",
-      "   2 True\t5770240464436076774\t<\t7995970552960006094\n",
-      "   3 True\t7995970552960006094\t<\t8791548464306403497\n",
-      "   4 True\t8791548464306403497\t<\t9113665863228976665\n",
-      "   1 True\t9113665863228976665\t=\t9113665863228976665\n",
-      "   2 False\t9113665863228976665\t>\t7597302050688421682\n",
-      "   3 False\t7597302050688421682\t>\t3180046017576322925\n",
-      "   1 False\t3180046017576322925\t=\t3180046017576322925\n",
-      "   2 False\t3180046017576322925\t>\t741819123661582959\n",
-      "   2 True\t741819123661582959\t<\t6649564505367343263\n",
-      "   3 True\t6649564505367343263\t<\t9153403687629844865\n",
-      "   2 False\t9153403687629844865\t>\t2188234214967327481\n",
-      "   3 False\t2188234214967327481\t>\t760434170399661177\n",
-      "   4 False\t760434170399661177\t>\t209736107296760329\n",
-      "   5 False\t209736107296760329\t>\t62142839256392330\n",
-      "   6 False\t62142839256392330\t>\t43934630958724275\n",
-      "   2 True\t43934630958724275\t<\t5679295761716826622\n",
-      "   3 True\t5679295761716826622\t<\t8459226510737779863\n",
-      "   4 True\t8459226510737779863\t<\t8479685337838872230\n",
-      "   2 False\t8479685337838872230\t>\t1436944130241051180\n",
-      "   1 False\t1436944130241051180\t=\t1436944130241051180\n",
-      "   2 True\t1436944130241051180\t<\t6275884889787067671\n",
-      "   3 True\t6275884889787067671\t<\t8576281780515635124\n",
-      "   2 False\t8576281780515635124\t>\t28029951009530967\n",
-      "   3 False\t28029951009530967\t>\t18351185371233689\n",
-      "   4 False\t18351185371233689\t>\t12025153419896679\n",
-      "   5 False\t12025153419896679\t>\t5639328475455255\n",
-      "   6 False\t5639328475455255\t>\t4109362405315615\n",
-      "   7 False\t4109362405315615\t>\t3686640827332830\n",
-      "   8 False\t3686640827332830\t>\t2262533682585844\n",
-      "   9 False\t2262533682585844\t>\t753591529337780\n",
-      "  10 False\t753591529337780\t>\t179941929474494\n",
-      "   2 True\t179941929474494\t<\t3440862872655814996\n",
-      "   3 True\t3440862872655814996\t<\t7489659425850518416\n",
-      "   2 False\t7489659425850518416\t>\t3324120905902561696\n",
-      "   3 False\t3324120905902561696\t>\t3116247730729073413\n",
-      "   4 False\t3116247730729073413\t>\t2169298350965025814\n",
-      "   5 False\t2169298350965025814\t>\t747824342977152514\n",
-      "   6 False\t747824342977152514\t>\t174581404437086118\n",
-      "   7 False\t174581404437086118\t>\t120004545004058521\n",
-      "   2 True\t120004545004058521\t<\t2055805180353957134\n",
-      "   2 False\t2055805180353957134\t>\t1748303963669478862\n",
-      "   3 False\t1748303963669478862\t>\t910849387945821243\n",
-      "   2 True\t910849387945821243\t<\t7250534775711098961\n",
-      "   3 True\t7250534775711098961\t<\t8444611089572862312\n",
-      "   4 True\t8444611089572862312\t<\t9190408391965310670\n",
-      "   5 True\t9190408391965310670\t<\t9213617317356243966\n",
-      "   6 True\t9213617317356243966\t<\t9219925406292774492\n",
-      "   2 False\t9219925406292774492\t>\t4008220972197978066\n",
-      "   2 True\t4008220972197978066\t<\t5663207138501530057\n",
-      "   3 True\t5663207138501530057\t<\t6075033760209117179\n",
-      "   2 False\t6075033760209117179\t>\t5743441223899017956\n",
-      "   3 False\t5743441223899017956\t>\t3137816997774535453\n",
-      "   4 False\t3137816997774535453\t>\t1952428762261204887\n",
-      "   5 False\t1952428762261204887\t>\t94502819921265137\n",
-      "   6 False\t94502819921265137\t>\t89532087104550295\n",
-      "   7 False\t89532087104550295\t>\t17759559431656471\n",
-      "   8 False\t17759559431656471\t>\t697271561547543\n",
-      "   9 False\t697271561547543\t>\t618922002995280\n",
-      "  10 False\t618922002995280\t>\t579391842010193\n",
-      "  11 False\t579391842010193\t>\t262809263236909\n",
-      "  12 False\t262809263236909\t>\t166177083224955\n",
-      "   2 True\t166177083224955\t<\t8640229140264099632\n",
-      "   2 False\t8640229140264099632\t>\t2131267849550881551\n",
-      "   3 False\t2131267849550881551\t>\t223385550996724906\n",
-      "   2 True\t223385550996724906\t<\t4786500314722203368\n",
-      "   2 False\t4786500314722203368\t>\t4065319333835784498\n",
-      "   3 False\t4065319333835784498\t>\t3121494181694223185\n",
-      "   4 False\t3121494181694223185\t>\t1171789303099993835\n",
-      "   2 True\t1171789303099993835\t<\t3557472665614569986\n",
-      "   2 False\t3557472665614569986\t>\t1724970040594200108\n",
-      "   3 False\t1724970040594200108\t>\t1565104834233439904\n",
-      "   4 False\t1565104834233439904\t>\t1197789974797658957\n",
-      "   5 False\t1197789974797658957\t>\t1077563906905652844\n",
-      "   2 True\t1077563906905652844\t<\t2463132646535663162\n",
-      "   3 True\t2463132646535663162\t<\t5961143027435439976\n",
-      "   1 True\t5961143027435439976\t=\t5961143027435439976\n",
-      "   2 True\t5961143027435439976\t<\t7664059000805073506\n",
-      "   2 False\t7664059000805073506\t>\t5845060417565909065\n",
-      "   3 False\t5845060417565909065\t>\t4401387713316945380\n",
-      "   4 False\t4401387713316945380\t>\t2497302369788829270\n",
-      "   5 False\t2497302369788829270\t>\t2233721081761392541\n",
-      "   2 True\t2233721081761392541\t<\t4747713850963916545\n",
-      "   3 True\t4747713850963916545\t<\t6994105460681360393\n",
-      "   4 True\t6994105460681360393\t<\t7816973217451367256\n",
-      "   2 False\t7816973217451367256\t>\t5441033591644253267\n",
-      "   3 False\t5441033591644253267\t>\t2273304388475514873\n",
-      "   4 False\t2273304388475514873\t>\t277515074800283428\n",
-      "   5 False\t277515074800283428\t>\t223737052660096355\n",
-      "   6 False\t223737052660096355\t>\t87300207405177968\n",
-      "   7 False\t87300207405177968\t>\t20423220817192961\n",
-      "   8 False\t20423220817192961\t>\t18365002955318117\n",
-      "   9 False\t18365002955318117\t>\t7394060160367080\n",
-      "  10 False\t7394060160367080\t>\t5466756965784729\n",
-      "  11 False\t5466756965784729\t>\t2905669275058109\n",
-      "  12 False\t2905669275058109\t>\t1303585412448922\n",
-      "   1 False\t1303585412448922\t=\t1303585412448922\n",
-      "   2 False\t1303585412448922\t>\t1261233138478547\n",
-      "   3 False\t1261233138478547\t>\t215945576005985\n",
-      "   4 False\t215945576005985\t>\t59070579649577\n",
-      "   5 False\t59070579649577\t>\t28118173987124\n",
-      "   1 False\t28118173987124\t=\t28118173987124\n",
-      "   2 False\t28118173987124\t>\t23628884569622\n",
-      "   2 True\t23628884569622\t<\t6705979835789759707\n",
-      "   3 True\t6705979835789759707\t<\t7900404928371068281\n",
-      "   4 True\t7900404928371068281\t<\t8943029770692099272\n",
-      "   2 False\t8943029770692099272\t>\t5447497714238720157\n",
-      "   3 False\t5447497714238720157\t>\t4461205233951313202\n",
-      "   4 False\t4461205233951313202\t>\t2798650600045961773\n",
-      "   2 True\t2798650600045961773\t<\t8662185982771306905\n",
-      "   3 True\t8662185982771306905\t<\t9111052441319654875\n",
-      "   2 False\t9111052441319654875\t>\t2167534971611865969\n",
-      "   3 False\t2167534971611865969\t>\t282695732947519926\n",
-      "   4 False\t282695732947519926\t>\t122634347269591034\n",
-      "   5 False\t122634347269591034\t>\t107695027268222688\n",
-      "   6 False\t107695027268222688\t>\t44805833828297618\n",
-      "   2 True\t44805833828297618\t<\t4954850883974545919\n",
-      "   3 True\t4954850883974545919\t<\t5569009568786563763\n",
-      "   4 True\t5569009568786563763\t<\t8081290966598870974\n",
-      "   5 True\t8081290966598870974\t<\t8602421286148963045\n",
-      "   2 False\t8602421286148963045\t>\t4259308318386926252\n",
-      "   3 False\t4259308318386926252\t>\t1814603035436426613\n",
-      "   4 False\t1814603035436426613\t>\t1201322438059535053\n",
-      "   5 False\t1201322438059535053\t>\t15223724891315275\n",
-      "   6 False\t15223724891315275\t>\t66936172853925\n",
-      "   7 False\t66936172853925\t>\t32743340898129\n",
-      "   8 False\t32743340898129\t>\t19992096611434\n",
-      "   9 False\t19992096611434\t>\t131582253216\n",
-      "  10 False\t131582253216\t>\t67802865883\n",
-      "  11 False\t67802865883\t>\t49742504137\n",
-      "   2 True\t49742504137\t<\t4879686530160314301\n",
-      "   2 False\t4879686530160314301\t>\t4161544888320235766\n",
-      "   2 True\t4161544888320235766\t<\t6120008678632258970\n",
-      "   3 True\t6120008678632258970\t<\t6185114769896207540\n",
-      "   4 True\t6185114769896207540\t<\t7407653396897633923\n",
-      "   2 False\t7407653396897633923\t>\t217091781391610330\n",
-      "   3 False\t217091781391610330\t>\t150194956828982682\n",
-      "   4 False\t150194956828982682\t>\t26115354565462966\n",
-      "   5 False\t26115354565462966\t>\t8291658546633006\n",
-      "   6 False\t8291658546633006\t>\t1719814510660556\n",
-      "   7 False\t1719814510660556\t>\t470586320408369\n",
-      "   8 False\t470586320408369\t>\t44071650819978\n",
-      "   9 False\t44071650819978\t>\t16053242917335\n",
-      "  10 False\t16053242917335\t>\t1413410789318\n",
-      "  11 False\t1413410789318\t>\t384809266618\n",
-      "  12 False\t384809266618\t>\t274575245820\n",
-      "  13 False\t274575245820\t>\t108495369910\n",
-      "  14 False\t108495369910\t>\t92322092680\n",
-      "  15 False\t92322092680\t>\t51231104290\n",
-      "  16 False\t51231104290\t>\t19885636326\n",
-      "  17 False\t19885636326\t>\t11973547272\n",
-      "   2 True\t11973547272\t<\t7728650148067287971\n",
-      "   1 True\t7728650148067287971\t=\t7728650148067287971\n",
-      "   2 True\t7728650148067287971\t<\t8000508964708017552\n",
-      "   3 True\t8000508964708017552\t<\t8104765145812597135\n",
-      "   4 True\t8104765145812597135\t<\t8313176267874415949\n",
-      "   5 True\t8313176267874415949\t<\t9046786869312451633\n",
-      "   6 True\t9046786869312451633\t<\t9100781819199726721\n",
-      "   7 True\t9100781819199726721\t<\t9171572935329281992\n",
-      "   1 True\t9171572935329281992\t=\t9171572935329281992\n",
-      "   2 True\t9171572935329281992\t<\t9172985992984834662\n",
-      "   3 True\t9172985992984834662\t<\t9174327759073798969\n",
-      "   4 True\t9174327759073798969\t<\t9192001670762922389\n",
-      "   5 True\t9192001670762922389\t<\t9193870418077830740\n",
-      "   6 True\t9193870418077830740\t<\t9195750904799924861\n",
-      "   7 True\t9195750904799924861\t<\t9217811959381967783\n",
-      "   8 True\t9217811959381967783\t<\t9219335155561445047\n",
-      "   9 True\t9219335155561445047\t<\t9223108287098390591\n",
-      "  10 True\t9223108287098390591\t<\t9223295973258202420\n",
-      "  11 True\t9223295973258202420\t<\t9223297410910247134\n",
-      "  12 True\t9223297410910247134\t<\t9223340821882705307\n",
-      "  13 True\t9223340821882705307\t<\t9223368720743563294\n",
-      "  14 True\t9223368720743563294\t<\t9223371483701900310\n",
-      "  15 True\t9223371483701900310\t<\t9223371508165328065\n",
-      "  16 True\t9223371508165328065\t<\t9223371899760050999\n",
-      "   2 False\t9223371899760050999\t>\t4648281226343417463\n",
-      "   2 True\t4648281226343417463\t<\t5128620218287916713\n",
-      "   3 True\t5128620218287916713\t<\t8056295647422626401\n",
-      "   4 True\t8056295647422626401\t<\t8334654158397372889\n",
-      "   5 True\t8334654158397372889\t<\t9057623277530845885\n",
-      "   1 True\t9057623277530845885\t=\t9057623277530845885\n",
-      "   2 False\t9057623277530845885\t>\t6822959745416041726\n",
-      "   3 False\t6822959745416041726\t>\t4854869235413556983\n",
-      "   2 True\t4854869235413556983\t<\t6141670738641206180\n",
-      "   3 True\t6141670738641206180\t<\t7164043875040663259\n",
-      "   4 True\t7164043875040663259\t<\t7472473141224781249\n",
-      "   5 True\t7472473141224781249\t<\t9157643426361310798\n",
-      "   6 True\t9157643426361310798\t<\t9223163690831933797\n",
-      "   7 True\t9223163690831933797\t<\t9223196545756292254\n",
-      "   2 False\t9223196545756292254\t>\t4886987407090278257\n",
-      "   3 False\t4886987407090278257\t>\t3756762828487829862\n",
-      "   4 False\t3756762828487829862\t>\t2782971553901962851\n",
-      "   5 False\t2782971553901962851\t>\t2266146388209950285\n",
-      "   2 True\t2266146388209950285\t<\t8394330992608829046\n",
-      "   3 True\t8394330992608829046\t<\t8975732226586037692\n",
-      "   4 True\t8975732226586037692\t<\t9180732772871613750\n",
-      "   5 True\t9180732772871613750\t<\t9220387962636614834\n",
-      "   6 True\t9220387962636614834\t<\t9223063556853858365\n",
-      "   2 False\t9223063556853858365\t>\t2430088488055405951\n",
-      "   2 True\t2430088488055405951\t<\t7598738914572949972\n",
-      "   2 False\t7598738914572949972\t>\t7460939597884074044\n",
-      "   2 True\t7460939597884074044\t<\t8181351366903859199\n",
-      "   3 True\t8181351366903859199\t<\t9169801618286084305\n",
-      "   4 True\t9169801618286084305\t<\t9200368181178879979\n",
-      "   2 False\t9200368181178879979\t>\t2437986524758362739\n",
-      "   2 True\t2437986524758362739\t<\t6144446623675339140\n",
-      "   2 False\t6144446623675339140\t>\t272380735911339261\n",
-      "   3 False\t272380735911339261\t>\t52287750809204480\n",
-      "   4 False\t52287750809204480\t>\t25043088963190788\n",
-      "   5 False\t25043088963190788\t>\t6374815345739662\n",
-      "   6 False\t6374815345739662\t>\t2329400229369163\n",
-      "   7 False\t2329400229369163\t>\t1731052066810295\n",
-      "   2 True\t1731052066810295\t<\t2987424497402610610\n",
-      "   3 True\t2987424497402610610\t<\t8292526717707218564\n",
-      "   4 True\t8292526717707218564\t<\t8633895460386783888\n",
-      "   2 False\t8633895460386783888\t>\t940466250513297853\n",
-      "   1 False\t940466250513297853\t=\t940466250513297853\n",
-      "   2 False\t940466250513297853\t>\t764549362072045706\n",
-      "   3 False\t764549362072045706\t>\t280808539862384645\n",
-      "   4 False\t280808539862384645\t>\t204501433772834406\n",
-      "   5 False\t204501433772834406\t>\t27189686596130354\n",
-      "   6 False\t27189686596130354\t>\t944048848629313\n",
-      "   2 True\t944048848629313\t<\t3417016129955224226\n",
-      "   3 True\t3417016129955224226\t<\t5637761530054534912\n",
-      "   4 True\t5637761530054534912\t<\t6597298175943448649\n",
-      "   5 True\t6597298175943448649\t<\t8123300791588322373\n",
-      "   6 True\t8123300791588322373\t<\t8277290123333129938\n",
-      "   7 True\t8277290123333129938\t<\t8353121408811039235\n",
-      "   2 False\t8353121408811039235\t>\t1955739774938171775\n",
-      "   3 False\t1955739774938171775\t>\t1405937571638912532\n",
-      "   4 False\t1405937571638912532\t>\t165679336971056358\n",
-      "   5 False\t165679336971056358\t>\t43178825839386291\n",
-      "   6 False\t43178825839386291\t>\t1764415780986983\n",
-      "   7 False\t1764415780986983\t>\t696934480876916\n",
-      "   8 False\t696934480876916\t>\t132894349675490\n",
-      "   9 False\t132894349675490\t>\t94181819778584\n",
-      "   2 True\t94181819778584\t<\t3306881470500756576\n",
-      "   2 False\t3306881470500756576\t>\t2601627752075292469\n",
-      "   3 False\t2601627752075292469\t>\t20617494266778483\n",
-      "   4 False\t20617494266778483\t>\t10143286100885927\n",
-      "   2 True\t10143286100885927\t<\t4875299279327759320\n",
-      "   3 True\t4875299279327759320\t<\t6622597263888095734\n",
-      "   4 True\t6622597263888095734\t<\t8107531187908120724\n",
-      "   2 False\t8107531187908120724\t>\t6648818806930057695\n",
-      "   3 False\t6648818806930057695\t>\t3929474674796343985\n",
-      "   4 False\t3929474674796343985\t>\t3920790182890943683\n",
-      "   2 True\t3920790182890943683\t<\t6786322167351223714\n",
-      "   3 True\t6786322167351223714\t<\t8011142746520955066\n",
-      "   4 True\t8011142746520955066\t<\t8205425961467093927\n",
-      "   5 True\t8205425961467093927\t<\t8479823849782783228\n",
-      "   2 False\t8479823849782783228\t>\t8100650841081702282\n",
-      "   3 False\t8100650841081702282\t>\t805986375311013092\n",
-      "   4 False\t805986375311013092\t>\t406039298614109894\n",
-      "   5 False\t406039298614109894\t>\t60223278213142107\n",
-      "   6 False\t60223278213142107\t>\t20632791765923050\n",
-      "   7 False\t20632791765923050\t>\t7253262303091002\n",
-      "   8 False\t7253262303091002\t>\t5843157568711144\n",
-      "   9 False\t5843157568711144\t>\t5379134676665432\n",
-      "  10 False\t5379134676665432\t>\t641411669958825\n",
-      "  11 False\t641411669958825\t>\t144773983105655\n",
-      "  12 False\t144773983105655\t>\t63697723653804\n",
-      "  13 False\t63697723653804\t>\t60039632439457\n",
-      "  14 False\t60039632439457\t>\t17888630406374\n",
-      "   2 True\t17888630406374\t<\t3520623670463829710\n",
-      "   3 True\t3520623670463829710\t<\t4092358904595473230\n",
-      "   4 True\t4092358904595473230\t<\t5396338917486156724\n",
-      "   1 True\t5396338917486156724\t=\t5396338917486156724\n",
-      "   2 True\t5396338917486156724\t<\t5976643501400239321\n",
-      "   2 False\t5976643501400239321\t>\t2925449157192632250\n",
-      "   3 False\t2925449157192632250\t>\t2693012419749163727\n",
-      "   4 False\t2693012419749163727\t>\t152778265691245052\n",
-      "   2 True\t152778265691245052\t<\t6001230161419108045\n",
-      "   3 True\t6001230161419108045\t<\t8662587974290447823\n",
-      "   2 False\t8662587974290447823\t>\t6768231499205344871\n",
-      "   3 False\t6768231499205344871\t>\t5671192179208102990\n",
-      "   4 False\t5671192179208102990\t>\t2310271030413443165\n",
-      "   5 False\t2310271030413443165\t>\t447482295739510626\n",
-      "   2 True\t447482295739510626\t<\t5128522842064995240\n",
-      "   3 True\t5128522842064995240\t<\t6464347576747657185\n",
-      "   4 True\t6464347576747657185\t<\t7345523161852428969\n",
-      "   5 True\t7345523161852428969\t<\t8566607764933225771\n",
-      "   2 False\t8566607764933225771\t>\t2309733066696536522\n",
-      "   3 False\t2309733066696536522\t>\t1064596125447633656\n",
-      "   2 True\t1064596125447633656\t<\t6632841382244642331\n",
-      "   3 True\t6632841382244642331\t<\t9198314487926535608\n",
-      "   4 True\t9198314487926535608\t<\t9200608489425700372\n",
-      "   5 True\t9200608489425700372\t<\t9213504583252945171\n",
-      "   1 True\t9213504583252945171\t=\t9213504583252945171\n",
-      "   2 False\t9213504583252945171\t>\t2582627257079193949\n",
-      "   1 False\t2582627257079193949\t=\t2582627257079193949\n",
-      "   2 True\t2582627257079193949\t<\t8380355355214542512\n",
-      "   2 False\t8380355355214542512\t>\t3611690852975972299\n",
-      "   3 False\t3611690852975972299\t>\t1178778772690024383\n",
-      "   2 True\t1178778772690024383\t<\t4900521488437617052\n",
-      "   3 True\t4900521488437617052\t<\t5037860715637389847\n",
-      "   4 True\t5037860715637389847\t<\t6262632367751791205\n",
-      "   2 False\t6262632367751791205\t>\t1342841705880480866\n",
-      "   3 False\t1342841705880480866\t>\t889685691719695808\n",
-      "   4 False\t889685691719695808\t>\t616879825216523388\n",
-      "   5 False\t616879825216523388\t>\t578726855719487656\n",
-      "   1 False\t578726855719487656\t=\t578726855719487656\n",
-      "   2 False\t578726855719487656\t>\t314329294994777869\n",
-      "   2 True\t314329294994777869\t<\t7093900525865121066\n",
-      "   3 True\t7093900525865121066\t<\t8195350390069989723\n",
-      "   2 False\t8195350390069989723\t>\t7124450680960110233\n",
-      "   2 True\t7124450680960110233\t<\t7822638755790136434\n",
-      "   3 True\t7822638755790136434\t<\t8237549457116507947\n",
-      "   4 True\t8237549457116507947\t<\t8409348202928078094\n",
-      "   5 True\t8409348202928078094\t<\t9024524926639400553\n",
-      "   2 False\t9024524926639400553\t>\t745827483764851089\n",
-      "   3 False\t745827483764851089\t>\t135286568180443432\n",
-      "   4 False\t135286568180443432\t>\t111405068952499231\n",
-      "   2 True\t111405068952499231\t<\t4123788056132872408\n",
-      "   3 True\t4123788056132872408\t<\t5356064086802519949\n",
-      "   4 True\t5356064086802519949\t<\t5444477659528092316\n",
-      "   5 True\t5444477659528092316\t<\t8081536136134063059\n",
-      "   6 True\t8081536136134063059\t<\t8084378653369011429\n",
-      "   2 False\t8084378653369011429\t>\t7975531390297132167\n",
-      "   3 False\t7975531390297132167\t>\t2627933078807120739\n",
-      "   4 False\t2627933078807120739\t>\t2173280172934939626\n",
-      "   2 True\t2173280172934939626\t<\t3170405475868753409\n",
-      "   2 False\t3170405475868753409\t>\t1599153008399996465\n",
-      "   3 False\t1599153008399996465\t>\t1188534792038326049\n",
-      "   2 True\t1188534792038326049\t<\t5813231875006132028\n",
-      "   3 True\t5813231875006132028\t<\t6627975912171295643\n",
-      "   4 True\t6627975912171295643\t<\t9006570286137736058\n",
-      "   5 True\t9006570286137736058\t<\t9200438026203155403\n",
-      "   6 True\t9200438026203155403\t<\t9213159235561834754\n",
-      "   2 False\t9213159235561834754\t>\t5036074986318385403\n",
-      "   3 False\t5036074986318385403\t>\t2242681304822235624\n",
-      "   2 True\t2242681304822235624\t<\t3212268659531865188\n",
-      "   3 True\t3212268659531865188\t<\t4483732388541702098\n",
-      "   1 True\t4483732388541702098\t=\t4483732388541702098\n",
-      "   2 False\t4483732388541702098\t>\t2233550653228541482\n",
-      "   2 True\t2233550653228541482\t<\t4748378631899711706\n",
-      "   3 True\t4748378631899711706\t<\t5743773657274242989\n",
-      "   4 True\t5743773657274242989\t<\t7813525162444285081\n",
-      "   5 True\t7813525162444285081\t<\t8559856881091977042\n",
-      "   2 False\t8559856881091977042\t>\t4454243750976397224\n",
-      "   3 False\t4454243750976397224\t>\t2900766793179010071\n",
-      "   2 True\t2900766793179010071\t<\t6326241872131445210\n",
-      "   2 False\t6326241872131445210\t>\t4087689870975826671\n",
-      "   3 False\t4087689870975826671\t>\t2825390788767304317\n",
-      "   4 False\t2825390788767304317\t>\t958672100464757680\n",
-      "   5 False\t958672100464757680\t>\t392958470706142722\n",
-      "   6 False\t392958470706142722\t>\t243537393608179544\n",
-      "   2 True\t243537393608179544\t<\t8853575397333012596\n",
-      "   3 True\t8853575397333012596\t<\t9207785445574860797\n",
-      "   4 True\t9207785445574860797\t<\t9221497778807530599\n",
-      "   2 False\t9221497778807530599\t>\t3399225471979384665\n",
-      "   3 False\t3399225471979384665\t>\t1446874718818707207\n",
-      "   4 False\t1446874718818707207\t>\t312715551379630038\n",
-      "   2 True\t312715551379630038\t<\t6103839413626270171\n",
-      "   2 False\t6103839413626270171\t>\t829668985235820523\n",
-      "   2 True\t829668985235820523\t<\t4798899560450879474\n",
-      "   2 False\t4798899560450879474\t>\t1963286113176687293\n",
-      "   2 True\t1963286113176687293\t<\t7368788572552489770\n",
-      "   3 True\t7368788572552489770\t<\t8181911700055014517\n",
-      "   2 False\t8181911700055014517\t>\t3432808490955161647\n",
-      "   2 True\t3432808490955161647\t<\t8080702589942204300\n",
-      "   3 True\t8080702589942204300\t<\t9081765947374329582\n",
-      "   2 False\t9081765947374329582\t>\t6306272492109008180\n",
-      "   2 True\t6306272492109008180\t<\t8670866695785029875\n",
-      "   2 False\t8670866695785029875\t>\t185903447279188360\n",
-      "   3 False\t185903447279188360\t>\t115250863537551936\n",
-      "   4 False\t115250863537551936\t>\t37424076974193617\n",
-      "   5 False\t37424076974193617\t>\t6682961624136273\n",
-      "   6 False\t6682961624136273\t>\t663453844080729\n",
-      "   2 True\t663453844080729\t<\t4865830785686992856\n",
-      "   3 True\t4865830785686992856\t<\t5337287300369544660\n",
-      "   4 True\t5337287300369544660\t<\t7046213056182730567\n",
-      "   5 True\t7046213056182730567\t<\t7051322826185142251\n",
-      "   2 False\t7051322826185142251\t>\t2188000220883847899\n",
-      "   3 False\t2188000220883847899\t>\t1857420302185519622\n",
-      "   4 False\t1857420302185519622\t>\t964632485619907552\n",
-      "   5 False\t964632485619907552\t>\t834707132706948381\n",
-      "   6 False\t834707132706948381\t>\t232175282310239589\n",
-      "   2 True\t232175282310239589\t<\t1585882893581996688\n",
-      "   3 True\t1585882893581996688\t<\t2821036028528966333\n",
-      "   2 False\t2821036028528966333\t>\t1786054061087780999\n",
-      "   2 True\t1786054061087780999\t<\t2213398361341499469\n",
-      "   2 False\t2213398361341499469\t>\t1069102523682266987\n",
-      "   3 False\t1069102523682266987\t>\t746547947084724338\n",
-      "   4 False\t746547947084724338\t>\t295931738631467334\n",
-      "   5 False\t295931738631467334\t>\t48533307322364442\n",
-      "   2 True\t48533307322364442\t<\t1554896211551868296\n",
-      "   3 True\t1554896211551868296\t<\t8593209105825088235\n",
-      "   4 True\t8593209105825088235\t<\t9027680087190691071\n",
-      "   5 True\t9027680087190691071\t<\t9146678609738394542\n",
-      "   2 False\t9146678609738394542\t>\t4558023721177636282\n",
-      "   3 False\t4558023721177636282\t>\t3523531562013654673\n",
-      "   2 True\t3523531562013654673\t<\t4793426844227848649\n",
-      "   3 True\t4793426844227848649\t<\t8568146340466994340\n",
-      "   4 True\t8568146340466994340\t<\t8887790063661108431\n",
-      "   5 True\t8887790063661108431\t<\t9047732845416142249\n",
-      "   2 False\t9047732845416142249\t>\t7624924605308009428\n",
-      "   2 True\t7624924605308009428\t<\t8785089504012031573\n",
-      "   3 True\t8785089504012031573\t<\t8943550574894157630\n",
-      "   4 True\t8943550574894157630\t<\t9186778936982091222\n",
-      "   5 True\t9186778936982091222\t<\t9215915653734791615\n",
-      "   6 True\t9215915653734791615\t<\t9222005869335790223\n",
-      "   7 True\t9222005869335790223\t<\t9222677192965101826\n",
-      "   2 False\t9222677192965101826\t>\t7691004951940970660\n",
-      "   3 False\t7691004951940970660\t>\t926838400989937806\n",
-      "   2 True\t926838400989937806\t<\t6497843227971377466\n",
-      "   2 False\t6497843227971377466\t>\t3006527910047464954\n",
-      "   3 False\t3006527910047464954\t>\t383209232912143217\n",
-      "   4 False\t383209232912143217\t>\t44267954630796425\n",
-      "   5 False\t44267954630796425\t>\t28123954991002701\n",
-      "   6 False\t28123954991002701\t>\t2282647918309679\n",
-      "   2 True\t2282647918309679\t<\t1642159623637197866\n",
-      "   3 True\t1642159623637197866\t<\t3155328472221049520\n",
-      "   4 True\t3155328472221049520\t<\t5709891899789343319\n",
-      "   1 True\t5709891899789343319\t=\t5709891899789343319\n",
-      "   2 False\t5709891899789343319\t>\t1905243435680887548\n",
-      "   3 False\t1905243435680887548\t>\t141923574196802367\n",
-      "   2 True\t141923574196802367\t<\t6262304316946789557\n",
-      "   1 True\t6262304316946789557\t=\t6262304316946789557\n",
-      "   2 False\t6262304316946789557\t>\t3224603724020300146\n",
-      "   3 False\t3224603724020300146\t>\t1158160500420538024\n",
-      "   2 True\t1158160500420538024\t<\t8964079216447553159\n",
-      "   1 True\t8964079216447553159\t=\t8964079216447553159\n",
-      "   2 False\t8964079216447553159\t>\t8135249124575751648\n",
-      "   3 False\t8135249124575751648\t>\t6287693943066325125\n",
-      "   2 True\t6287693943066325125\t<\t8859784905151351287\n",
-      "   3 True\t8859784905151351287\t<\t9114694969057056810\n",
-      "   4 True\t9114694969057056810\t<\t9166551942215616089\n",
-      "   5 True\t9166551942215616089\t<\t9214434790801513303\n",
-      "   6 True\t9214434790801513303\t<\t9218543744476312133\n",
-      "   2 False\t9218543744476312133\t>\t980447099535876574\n",
-      "   1 False\t980447099535876574\t=\t980447099535876574\n",
-      "   2 False\t980447099535876574\t>\t95539015103041455\n",
-      "   2 True\t95539015103041455\t<\t4492877566473770920\n",
-      "   3 True\t4492877566473770920\t<\t8237504420092020954\n",
-      "   4 True\t8237504420092020954\t<\t9092097984029537544\n",
-      "   2 False\t9092097984029537544\t>\t4173537529715907767\n",
-      "   3 False\t4173537529715907767\t>\t3788835453297822038\n",
-      "   4 False\t3788835453297822038\t>\t891150317728599846\n",
-      "   5 False\t891150317728599846\t>\t813376659917979368\n",
-      "   1 False\t813376659917979368\t=\t813376659917979368\n",
-      "   2 True\t813376659917979368\t<\t8058788695376424036\n",
-      "   3 True\t8058788695376424036\t<\t8176275803867755581\n",
-      "   2 False\t8176275803867755581\t>\t4891598189148099261\n",
-      "   3 False\t4891598189148099261\t>\t3867984813162729966\n",
-      "   2 True\t3867984813162729966\t<\t6323926108516612132\n",
-      "   3 True\t6323926108516612132\t<\t8285739216376073957\n",
-      "   2 False\t8285739216376073957\t>\t2733855843301198544\n",
-      "   3 False\t2733855843301198544\t>\t2103263810520555880\n",
-      "   4 False\t2103263810520555880\t>\t90090949129791690\n",
-      "   5 False\t90090949129791690\t>\t68174638105835457\n",
-      "   6 False\t68174638105835457\t>\t14590496163894415\n",
-      "   2 True\t14590496163894415\t<\t3840279929733005698\n",
-      "   3 True\t3840279929733005698\t<\t7443420172030078293\n",
-      "   4 True\t7443420172030078293\t<\t8032069969522080413\n",
-      "   5 True\t8032069969522080413\t<\t8872798628802059830\n",
-      "   6 True\t8872798628802059830\t<\t8955638544052155770\n",
-      "   2 False\t8955638544052155770\t>\t5343283823594444326\n",
-      "   2 True\t5343283823594444326\t<\t6425973195206661354\n",
-      "   2 False\t6425973195206661354\t>\t1690464400727566767\n",
-      "   2 True\t1690464400727566767\t<\t2466414234944079580\n",
-      "   1 True\t2466414234944079580\t=\t2466414234944079580\n",
-      "   2 True\t2466414234944079580\t<\t8956129649544282421\n",
-      "   2 False\t8956129649544282421\t>\t2598533150849929516\n",
-      "   3 False\t2598533150849929516\t>\t23819912697739548\n",
-      "   2 True\t23819912697739548\t<\t7154007122542406884\n",
-      "   3 True\t7154007122542406884\t<\t7198245433318029212\n",
-      "   2 False\t7198245433318029212\t>\t3924367369925617808\n",
-      "   3 False\t3924367369925617808\t>\t1365078359522253556\n",
-      "   4 False\t1365078359522253556\t>\t369050844694818188\n",
-      "   5 False\t369050844694818188\t>\t135715501608819513\n",
-      "   6 False\t135715501608819513\t>\t8232535505592574\n",
-      "   2 True\t8232535505592574\t<\t7734067965454412273\n",
-      "   3 True\t7734067965454412273\t<\t8453510789776811193\n",
-      "   2 False\t8453510789776811193\t>\t3301588570647284689\n",
-      "   3 False\t3301588570647284689\t>\t1023380645568240185\n",
-      "   4 False\t1023380645568240185\t>\t346104619153096936\n",
-      "   5 False\t346104619153096936\t>\t72049300799342758\n",
-      "   6 False\t72049300799342758\t>\t28505695624513835\n",
-      "   7 False\t28505695624513835\t>\t20332792218755397\n",
-      "   8 False\t20332792218755397\t>\t12459621744149918\n",
-      "   1 False\t12459621744149918\t=\t12459621744149918\n",
-      "   2 True\t12459621744149918\t<\t8864844309015108812\n",
-      "   3 True\t8864844309015108812\t<\t8881974105464791893\n",
-      "   1 True\t8881974105464791893\t=\t8881974105464791893\n",
-      "   2 False\t8881974105464791893\t>\t238349777072643666\n",
-      "   3 False\t238349777072643666\t>\t109867523127747795\n",
-      "   4 False\t109867523127747795\t>\t87559424445895142\n",
-      "   5 False\t87559424445895142\t>\t18313469559602767\n",
-      "   2 True\t18313469559602767\t<\t7312892522760173600\n",
-      "   3 True\t7312892522760173600\t<\t7620680038740900592\n",
-      "   4 True\t7620680038740900592\t<\t9102587521238103449\n",
-      "   1 True\t9102587521238103449\t=\t9102587521238103449\n",
-      "   1 True\t9102587521238103449\t=\t9102587521238103449\n",
-      "   2 True\t9102587521238103449\t<\t9205451562589366960\n",
-      "   2 False\t9205451562589366960\t>\t3224861316949309637\n",
-      "   1 False\t3224861316949309637\t=\t3224861316949309637\n",
-      "   2 True\t3224861316949309637\t<\t5066429058625717163\n",
-      "   3 True\t5066429058625717163\t<\t7642112963832414187\n",
-      "   4 True\t7642112963832414187\t<\t8613983814371108841\n",
-      "   2 False\t8613983814371108841\t>\t550089670246964703\n",
-      "   3 False\t550089670246964703\t>\t361669451659943249\n",
-      "   4 False\t361669451659943249\t>\t327340968673388633\n",
-      "   5 False\t327340968673388633\t>\t173155631615614729\n",
-      "   6 False\t173155631615614729\t>\t35713911971629983\n",
-      "   7 False\t35713911971629983\t>\t5936626039257775\n",
-      "   8 False\t5936626039257775\t>\t853747814525398\n",
-      "   2 True\t853747814525398\t<\t6299718592340298618\n",
-      "   2 False\t6299718592340298618\t>\t1946917683904983858\n",
-      "   3 False\t1946917683904983858\t>\t732459400206985247\n",
-      "   4 False\t732459400206985247\t>\t36401851222783719\n",
-      "   5 False\t36401851222783719\t>\t32105490322255509\n",
-      "   6 False\t32105490322255509\t>\t27214339870891326\n",
-      "   7 False\t27214339870891326\t>\t20250303609572131\n",
-      "   8 False\t20250303609572131\t>\t5577399569168231\n",
-      "   9 False\t5577399569168231\t>\t823856913719969\n",
-      "   2 True\t823856913719969\t<\t5385714526180510921\n",
-      "   3 True\t5385714526180510921\t<\t8521125264625695148\n",
-      "   2 False\t8521125264625695148\t>\t5606628538648704781\n",
-      "   3 False\t5606628538648704781\t>\t5535451981605061953\n",
-      "   1 False\t5535451981605061953\t=\t5535451981605061953\n",
-      "   2 False\t5535451981605061953\t>\t207888098341521289\n",
-      "   3 False\t207888098341521289\t>\t81027087623274676\n",
-      "   2 True\t81027087623274676\t<\t3477883360770442170\n",
-      "   3 True\t3477883360770442170\t<\t6252377394252411718\n",
-      "   2 False\t6252377394252411718\t>\t4869592722883416349\n",
-      "   2 True\t4869592722883416349\t<\t5431453348190311620\n",
-      "   3 True\t5431453348190311620\t<\t7296945936523730734\n",
-      "   2 False\t7296945936523730734\t>\t677188388767500753\n",
-      "   2 True\t677188388767500753\t<\t6228335024744057359\n",
-      "   3 True\t6228335024744057359\t<\t6614272490824407812\n",
-      "   2 False\t6614272490824407812\t>\t1508169446296711066\n",
-      "   2 True\t1508169446296711066\t<\t3096169396430436671\n",
-      "   1 True\t3096169396430436671\t=\t3096169396430436671\n",
-      "   2 False\t3096169396430436671\t>\t3005317985205127337\n",
-      "   3 False\t3005317985205127337\t>\t851073496383460982\n",
-      "   2 True\t851073496383460982\t<\t8167564927912128017\n",
-      "   2 False\t8167564927912128017\t>\t356535696376952982\n",
-      "   3 False\t356535696376952982\t>\t148425151707791325\n",
-      "   4 False\t148425151707791325\t>\t58190924617851653\n",
-      "   5 False\t58190924617851653\t>\t1283425959607984\n",
-      "   2 True\t1283425959607984\t<\t7048858930703488176\n",
-      "   3 True\t7048858930703488176\t<\t8603082796430229517\n",
-      "   2 False\t8603082796430229517\t>\t3386166892279564200\n",
-      "   2 True\t3386166892279564200\t<\t7811352661416410127\n",
-      "   1 True\t7811352661416410127\t=\t7811352661416410127\n",
-      "   2 True\t7811352661416410127\t<\t9040942628365438273\n",
-      "   3 True\t9040942628365438273\t<\t9128775876458974654\n",
-      "   4 True\t9128775876458974654\t<\t9157272372453467517\n",
-      "   2 False\t9157272372453467517\t>\t7576202046842988951\n",
-      "   3 False\t7576202046842988951\t>\t2821023090047138999\n",
-      "   2 True\t2821023090047138999\t<\t6350117168456540362\n",
-      "   3 True\t6350117168456540362\t<\t8983451466992507587\n",
-      "   4 True\t8983451466992507587\t<\t9110384478047924377\n",
-      "   2 False\t9110384478047924377\t>\t1194978654917767678\n",
-      "   3 False\t1194978654917767678\t>\t929085526937204229\n",
-      "   2 True\t929085526937204229\t<\t6577996424483215747\n",
-      "   3 True\t6577996424483215747\t<\t7374056543715750047\n",
-      "   4 True\t7374056543715750047\t<\t7987128816180369020\n",
-      "   5 True\t7987128816180369020\t<\t8820269708550903348\n",
-      "   6 True\t8820269708550903348\t<\t8873184308432200883\n",
-      "   7 True\t8873184308432200883\t<\t9042149079150906811\n",
-      "   8 True\t9042149079150906811\t<\t9184743647552078794\n",
-      "   9 True\t9184743647552078794\t<\t9210067616218954014\n",
-      "   2 False\t9210067616218954014\t>\t8700035631838099232\n",
-      "   3 False\t8700035631838099232\t>\t7434436194876964348\n",
-      "   4 False\t7434436194876964348\t>\t3501242401832227221\n",
-      "   5 False\t3501242401832227221\t>\t2085023029960736309\n",
-      "   2 True\t2085023029960736309\t<\t7151628030795788076\n",
-      "   3 True\t7151628030795788076\t<\t8175688772062607085\n",
-      "   4 True\t8175688772062607085\t<\t9058816203881626184\n",
-      "   2 False\t9058816203881626184\t>\t2578024543928858398\n",
-      "   3 False\t2578024543928858398\t>\t771749957490888276\n",
-      "   4 False\t771749957490888276\t>\t8634974916846254\n",
-      "   2 True\t8634974916846254\t<\t1488824647488429433\n",
-      "   3 True\t1488824647488429433\t<\t8339539052999838716\n",
-      "   4 True\t8339539052999838716\t<\t8377392348152230693\n",
-      "   5 True\t8377392348152230693\t<\t8637096302183802461\n",
-      "   6 True\t8637096302183802461\t<\t8701984135859943819\n",
-      "   2 False\t8701984135859943819\t>\t2745014027241566917\n",
-      "   2 True\t2745014027241566917\t<\t5116561739920253153\n",
-      "   2 False\t5116561739920253153\t>\t4274364346794595016\n",
-      "   3 False\t4274364346794595016\t>\t3218998259925673605\n",
-      "   4 False\t3218998259925673605\t>\t870694659422298865\n",
-      "   2 True\t870694659422298865\t<\t6053176655076185995\n",
-      "   2 False\t6053176655076185995\t>\t2606517546829807248\n",
-      "   3 False\t2606517546829807248\t>\t861622511989232568\n",
-      "   4 False\t861622511989232568\t>\t259462953819528894\n",
-      "   2 True\t259462953819528894\t<\t2203282397993987371\n",
-      "   3 True\t2203282397993987371\t<\t7106680404520562776\n",
-      "   4 True\t7106680404520562776\t<\t8247583949133791707\n",
-      "   2 False\t8247583949133791707\t>\t7131309266155320309\n",
-      "   2 True\t7131309266155320309\t<\t8426724132812406222\n",
-      "   2 False\t8426724132812406222\t>\t4534226019479291565\n",
-      "   3 False\t4534226019479291565\t>\t2634662387280253529\n",
-      "   4 False\t2634662387280253529\t>\t754515254551691770\n",
-      "   5 False\t754515254551691770\t>\t1717337318601114\n",
-      "   6 False\t1717337318601114\t>\t636683057708259\n",
-      "   1 False\t636683057708259\t=\t636683057708259\n",
-      "   2 True\t636683057708259\t<\t5542976920259861869\n",
-      "   3 True\t5542976920259861869\t<\t8101635664432292339\n",
-      "   4 True\t8101635664432292339\t<\t8604230475868238759\n",
-      "   2 False\t8604230475868238759\t>\t8467286025155231719\n",
-      "   2 True\t8467286025155231719\t<\t9208801723223239375\n",
-      "   3 True\t9208801723223239375\t<\t9213083150938423918\n",
-      "   4 True\t9213083150938423918\t<\t9220713749575827673\n",
-      "   1 True\t9220713749575827673\t=\t9220713749575827673\n",
-      "   2 False\t9220713749575827673\t>\t3913571929833033344\n",
-      "   3 False\t3913571929833033344\t>\t3793034349367740776\n",
-      "   2 True\t3793034349367740776\t<\t8830185532944307995\n",
-      "   3 True\t8830185532944307995\t<\t8923297787284611571\n",
-      "   4 True\t8923297787284611571\t<\t9038905259319235304\n",
-      "   5 True\t9038905259319235304\t<\t9163800336188166341\n",
-      "   6 True\t9163800336188166341\t<\t9172954419239676407\n",
-      "   7 True\t9172954419239676407\t<\t9201713120713177707\n",
-      "   8 True\t9201713120713177707\t<\t9217430215797529417\n",
-      "   2 False\t9217430215797529417\t>\t4684800184348488905\n",
-      "   2 True\t4684800184348488905\t<\t6725556874133753062\n",
-      "   3 True\t6725556874133753062\t<\t7320404430233518741\n",
-      "   4 True\t7320404430233518741\t<\t8990280955189352278\n",
-      "   5 True\t8990280955189352278\t<\t9199949074501240653\n",
-      "   2 False\t9199949074501240653\t>\t4821654322410993667\n",
-      "   3 False\t4821654322410993667\t>\t3895125278044513417\n",
-      "   2 True\t3895125278044513417\t<\t7701298840813307468\n",
-      "   2 False\t7701298840813307468\t>\t2695802726563138174\n",
-      "   3 False\t2695802726563138174\t>\t142885705367940311\n",
-      "   2 True\t142885705367940311\t<\t4598733143904518412\n",
-      "   3 True\t4598733143904518412\t<\t7447353564197359000\n",
-      "   4 True\t7447353564197359000\t<\t8841496200341699680\n",
-      "   5 True\t8841496200341699680\t<\t8933226950666151662\n",
-      "   6 True\t8933226950666151662\t<\t8965202879381299194\n",
-      "   2 False\t8965202879381299194\t>\t961505882812305606\n",
-      "   3 False\t961505882812305606\t>\t77141153106419945\n",
-      "   4 False\t77141153106419945\t>\t6813922136228259\n",
-      "   5 False\t6813922136228259\t>\t869292991602472\n",
-      "   6 False\t869292991602472\t>\t232447115508819\n",
-      "   7 False\t232447115508819\t>\t127825998278289\n",
-      "   8 False\t127825998278289\t>\t13340135948764\n",
-      "   2 True\t13340135948764\t<\t454654508782090622\n",
-      "   3 True\t454654508782090622\t<\t5772490876857400588\n",
-      "   2 False\t5772490876857400588\t>\t5327002702693284207\n",
-      "   3 False\t5327002702693284207\t>\t3036872141887534485\n",
-      "   1 False\t3036872141887534485\t=\t3036872141887534485\n",
-      "   2 False\t3036872141887534485\t>\t225227184439095235\n",
-      "   3 False\t225227184439095235\t>\t121513658290456814\n",
-      "   2 True\t121513658290456814\t<\t213636453682070891\n",
-      "   1 True\t213636453682070891\t=\t213636453682070891\n",
-      "   2 True\t213636453682070891\t<\t3290325844152303615\n",
-      "   3 True\t3290325844152303615\t<\t8170785590958877660\n",
-      "   4 True\t8170785590958877660\t<\t8856072316243925998\n",
-      "   5 True\t8856072316243925998\t<\t8949305575657743571\n",
-      "   6 True\t8949305575657743571\t<\t9069906679823400152\n",
-      "   7 True\t9069906679823400152\t<\t9186849102101793277\n",
-      "   2 False\t9186849102101793277\t>\t751952059140303844\n",
-      "   2 True\t751952059140303844\t<\t2623236889003250996\n",
-      "   2 False\t2623236889003250996\t>\t1170718664062238219\n",
-      "   3 False\t1170718664062238219\t>\t621732216400020824\n",
-      "   4 False\t621732216400020824\t>\t619287688804174954\n",
-      "   2 True\t619287688804174954\t<\t7290762805387635396\n",
-      "   2 False\t7290762805387635396\t>\t321701936087860008\n",
-      "   3 False\t321701936087860008\t>\t121775671746277689\n",
-      "   2 True\t121775671746277689\t<\t3872759082268726196\n",
-      "   1 True\t3872759082268726196\t=\t3872759082268726196\n",
-      "   2 False\t3872759082268726196\t>\t3042389221104003264\n",
-      "   3 False\t3042389221104003264\t>\t1166513933832280445\n",
-      "   4 False\t1166513933832280445\t>\t919285410535924735\n",
-      "   5 False\t919285410535924735\t>\t845962528497459355\n",
-      "   6 False\t845962528497459355\t>\t417677810205348265\n",
-      "   7 False\t417677810205348265\t>\t265649439138034614\n",
-      "   8 False\t265649439138034614\t>\t25791285571335486\n",
-      "   9 False\t25791285571335486\t>\t12147636360801810\n",
-      "   2 True\t12147636360801810\t<\t796994223717933117\n",
-      "   3 True\t796994223717933117\t<\t3538391163344069412\n",
-      "   4 True\t3538391163344069412\t<\t8095306047860942234\n",
-      "   5 True\t8095306047860942234\t<\t8266636144685089553\n",
-      "   6 True\t8266636144685089553\t<\t9021511791620109205\n",
-      "   7 True\t9021511791620109205\t<\t9026861033913812565\n",
-      "   8 True\t9026861033913812565\t<\t9202788971807551833\n",
-      "   9 True\t9202788971807551833\t<\t9221258833540244686\n",
-      "  10 True\t9221258833540244686\t<\t9221653117603891012\n",
-      "   2 False\t9221653117603891012\t>\t2854680258482481331\n",
-      "   2 True\t2854680258482481331\t<\t3447483862479350005\n",
-      "   3 True\t3447483862479350005\t<\t7768241783284675880\n",
-      "   1 True\t7768241783284675880\t=\t7768241783284675880\n",
-      "   2 True\t7768241783284675880\t<\t7791947933474952178\n",
-      "   3 True\t7791947933474952178\t<\t8257316968613680091\n",
-      "   4 True\t8257316968613680091\t<\t8671394745445343269\n",
-      "   2 False\t8671394745445343269\t>\t1821928483416453330\n",
-      "   3 False\t1821928483416453330\t>\t247158096751308024\n",
-      "   4 False\t247158096751308024\t>\t170891880450238044\n",
-      "   2 True\t170891880450238044\t<\t7355810024132577299\n",
-      "   3 True\t7355810024132577299\t<\t8354102662382414232\n",
-      "   4 True\t8354102662382414232\t<\t8431741949039637453\n",
-      "   5 True\t8431741949039637453\t<\t8648198171772585564\n",
-      "   6 True\t8648198171772585564\t<\t8894048944565785992\n",
-      "   7 True\t8894048944565785992\t<\t9160146005643990967\n",
-      "   2 False\t9160146005643990967\t>\t3226715962917071376\n",
-      "   3 False\t3226715962917071376\t>\t1526830971793789838\n",
-      "   4 False\t1526830971793789838\t>\t35731316651855481\n",
-      "   2 True\t35731316651855481\t<\t1803311810436622631\n",
-      "   2 False\t1803311810436622631\t>\t892586832575669185\n",
-      "   3 False\t892586832575669185\t>\t464224851606972386\n",
-      "   4 False\t464224851606972386\t>\t145243008550524112\n",
-      "   5 False\t145243008550524112\t>\t32965522145765486\n",
-      "   2 True\t32965522145765486\t<\t1566813909053969040\n",
-      "   3 True\t1566813909053969040\t<\t2447818054738802120\n",
-      "   1 True\t2447818054738802120\t=\t2447818054738802120\n",
-      "   2 False\t2447818054738802120\t>\t180774789684870962\n",
-      "   3 False\t180774789684870962\t>\t26605920085561953\n",
-      "   4 False\t26605920085561953\t>\t3114833924388858\n",
-      "   5 False\t3114833924388858\t>\t2879542200974015\n",
-      "   6 False\t2879542200974015\t>\t196657154621610\n",
-      "   7 False\t196657154621610\t>\t123326746050764\n",
-      "   8 False\t123326746050764\t>\t4874586865220\n",
-      "   9 False\t4874586865220\t>\t2684403285817\n",
-      "  10 False\t2684403285817\t>\t2054967667474\n",
-      "  11 False\t2054967667474\t>\t970499514425\n",
-      "  12 False\t970499514425\t>\t16886485204\n",
-      "   2 True\t16886485204\t<\t2920436930702025615\n",
-      "   3 True\t2920436930702025615\t<\t5336158731392722358\n",
-      "   4 True\t5336158731392722358\t<\t7386673115789902366\n",
-      "   2 False\t7386673115789902366\t>\t4112138758794088761\n",
-      "   3 False\t4112138758794088761\t>\t2378249449168636909\n",
-      "   2 True\t2378249449168636909\t<\t8139460762711403416\n",
-      "   3 True\t8139460762711403416\t<\t8942850805354408066\n",
-      "   4 True\t8942850805354408066\t<\t9059717384585573808\n",
-      "   5 True\t9059717384585573808\t<\t9079226849595452312\n",
-      "   6 True\t9079226849595452312\t<\t9112433117245925981\n",
-      "   7 True\t9112433117245925981\t<\t9195335010728638261\n",
-      "   8 True\t9195335010728638261\t<\t9199976323939622460\n",
-      "   9 True\t9199976323939622460\t<\t9210391349850186116\n",
-      "   1 True\t9210391349850186116\t=\t9210391349850186116\n",
-      "   2 True\t9210391349850186116\t<\t9216193601274155423\n",
-      "   3 True\t9216193601274155423\t<\t9220304196638489625\n",
-      "   4 True\t9220304196638489625\t<\t9221491294207157432\n",
-      "   5 True\t9221491294207157432\t<\t9223336624576900558\n",
-      "   6 True\t9223336624576900558\t<\t9223356911482668165\n",
-      "   7 True\t9223356911482668165\t<\t9223361658146764416\n",
-      "   8 True\t9223361658146764416\t<\t9223365765943348756\n",
-      "   1 True\t9223365765943348756\t=\t9223365765943348756\n",
-      "   2 False\t9223365765943348756\t>\t6845700470012463053\n",
-      "   3 False\t6845700470012463053\t>\t6107915844898982069\n",
-      "   4 False\t6107915844898982069\t>\t5083917807862378019\n",
-      "   5 False\t5083917807862378019\t>\t31463012595970164\n",
-      "   2 True\t31463012595970164\t<\t2383064491576400881\n",
-      "   3 True\t2383064491576400881\t<\t5730854676278633919\n",
-      "   2 False\t5730854676278633919\t>\t5109912828751216218\n",
-      "   2 True\t5109912828751216218\t<\t8574285278584074391\n",
-      "   2 False\t8574285278584074391\t>\t7792194519798253019\n",
-      "   3 False\t7792194519798253019\t>\t2889779079551712947\n",
-      "   4 False\t2889779079551712947\t>\t1101473839776251418\n",
-      "   5 False\t1101473839776251418\t>\t324361210011446482\n",
-      "   6 False\t324361210011446482\t>\t261618660878923519\n",
-      "   2 True\t261618660878923519\t<\t1615825181264597284\n",
-      "   2 False\t1615825181264597284\t>\t1586775040369635596\n",
-      "   3 False\t1586775040369635596\t>\t213460103752381312\n",
-      "   4 False\t213460103752381312\t>\t72634658355569505\n",
-      "   5 False\t72634658355569505\t>\t59410356842933904\n",
-      "   6 False\t59410356842933904\t>\t16619712487057111\n",
-      "   7 False\t16619712487057111\t>\t15157610801428130\n",
-      "   8 False\t15157610801428130\t>\t1551973012398592\n",
-      "   1 False\t1551973012398592\t=\t1551973012398592\n",
-      "   2 False\t1551973012398592\t>\t933891996978849\n",
-      "   2 True\t933891996978849\t<\t1151045020076792018\n",
-      "   3 True\t1151045020076792018\t<\t4792921140986313609\n",
-      "   2 False\t4792921140986313609\t>\t1114989550533379357\n",
-      "   3 False\t1114989550533379357\t>\t363272613200627151\n",
-      "   1 False\t363272613200627151\t=\t363272613200627151\n",
-      "   2 True\t363272613200627151\t<\t4064496976320000425\n",
-      "   3 True\t4064496976320000425\t<\t6292635528124118253\n",
-      "   4 True\t6292635528124118253\t<\t7462677499879830272\n",
-      "   5 True\t7462677499879830272\t<\t8100669406576727818\n",
-      "   6 True\t8100669406576727818\t<\t9098077548071409661\n",
-      "   2 False\t9098077548071409661\t>\t418668009204809184\n",
-      "   3 False\t418668009204809184\t>\t88115958027506540\n",
-      "   2 True\t88115958027506540\t<\t5387095642677746491\n",
-      "   2 False\t5387095642677746491\t>\t4244201814135112334\n",
-      "   2 True\t4244201814135112334\t<\t4865285549010080401\n",
-      "   3 True\t4865285549010080401\t<\t8121996212873390365\n",
-      "   4 True\t8121996212873390365\t<\t8296213886082860384\n",
-      "   5 True\t8296213886082860384\t<\t8844099728161414255\n",
-      "   6 True\t8844099728161414255\t<\t9164888843121771980\n",
-      "   1 True\t9164888843121771980\t=\t9164888843121771980\n",
-      "   2 True\t9164888843121771980\t<\t9212828089787131130\n",
-      "   3 True\t9212828089787131130\t<\t9220371040849884951\n",
-      "   4 True\t9220371040849884951\t<\t9222936236532230489\n",
-      "   5 True\t9222936236532230489\t<\t9222991631085569102\n",
-      "   6 True\t9222991631085569102\t<\t9223118874662622846\n",
-      "   2 False\t9223118874662622846\t>\t5429131328208070781\n",
-      "   3 False\t5429131328208070781\t>\t1823307768707087697\n",
-      "   4 False\t1823307768707087697\t>\t1153146428060029409\n",
-      "   5 False\t1153146428060029409\t>\t454117681804115019\n",
-      "   2 True\t454117681804115019\t<\t8251433871757804965\n",
-      "   3 True\t8251433871757804965\t<\t8526693611111076841\n",
-      "   4 True\t8526693611111076841\t<\t8817581335223480459\n",
-      "   2 False\t8817581335223480459\t>\t3612923831649762433\n",
-      "   3 False\t3612923831649762433\t>\t1085420842295513182\n",
-      "   4 False\t1085420842295513182\t>\t38947195118312572\n",
-      "   2 True\t38947195118312572\t<\t7848169366395344237\n",
-      "   3 True\t7848169366395344237\t<\t9200112352372833535\n",
-      "   4 True\t9200112352372833535\t<\t9219921887413005055\n",
-      "   5 True\t9219921887413005055\t<\t9221373581860961367\n",
-      "   6 True\t9221373581860961367\t<\t9222195689404103939\n",
-      "   7 True\t9222195689404103939\t<\t9222648946524919554\n",
-      "   2 False\t9222648946524919554\t>\t7125501151527229586\n",
-      "   2 True\t7125501151527229586\t<\t8202469272526274283\n",
-      "   2 False\t8202469272526274283\t>\t275240000553432512\n",
-      "   2 True\t275240000553432512\t<\t8527856850803209203\n",
-      "   2 False\t8527856850803209203\t>\t560049657478358684\n",
-      "   3 False\t560049657478358684\t>\t293175190814780369\n",
-      "   4 False\t293175190814780369\t>\t229778735914970714\n",
-      "   5 False\t229778735914970714\t>\t211219784852148081\n",
-      "   2 True\t211219784852148081\t<\t571703909144541396\n",
-      "   3 True\t571703909144541396\t<\t7818102828548938422\n",
-      "   4 True\t7818102828548938422\t<\t8779898030785307525\n",
-      "   5 True\t8779898030785307525\t<\t8940521557340401907\n",
-      "   6 True\t8940521557340401907\t<\t9019182350578871734\n",
-      "   7 True\t9019182350578871734\t<\t9087978415314802957\n",
-      "   8 True\t9087978415314802957\t<\t9180316797753696845\n",
-      "   2 False\t9180316797753696845\t>\t6302583859952431727\n",
-      "   3 False\t6302583859952431727\t>\t3284064954557659121\n",
-      "   4 False\t3284064954557659121\t>\t1001897977935797158\n",
-      "   5 False\t1001897977935797158\t>\t750893479347964759\n",
-      "   6 False\t750893479347964759\t>\t620944027159171473\n",
-      "   2 True\t620944027159171473\t<\t9203908240123699008\n",
-      "   3 True\t9203908240123699008\t<\t9211278179286926509\n",
-      "   2 False\t9211278179286926509\t>\t8761144028882016085\n",
-      "   3 False\t8761144028882016085\t>\t3371085029028430017\n",
-      "   4 False\t3371085029028430017\t>\t2204409607902537271\n",
-      "   5 False\t2204409607902537271\t>\t933589762154347193\n",
-      "   6 False\t933589762154347193\t>\t75500447524555244\n",
-      "   7 False\t75500447524555244\t>\t40461077904991224\n",
-      "   8 False\t40461077904991224\t>\t5236139066485763\n",
-      "   9 False\t5236139066485763\t>\t978489143165732\n",
-      "   2 True\t978489143165732\t<\t8173658595941693123\n",
-      "   3 True\t8173658595941693123\t<\t8876486675645605006\n",
-      "   2 False\t8876486675645605006\t>\t7080283755878907339\n",
-      "   3 False\t7080283755878907339\t>\t314514735779688391\n",
-      "   4 False\t314514735779688391\t>\t11547467413721976\n",
-      "   2 True\t11547467413721976\t<\t8887826060815873786\n",
-      "   3 True\t8887826060815873786\t<\t9022902294164066566\n",
-      "   4 True\t9022902294164066566\t<\t9200363334175663896\n",
-      "   2 False\t9200363334175663896\t>\t7486779384417960187\n",
-      "   1 False\t7486779384417960187\t=\t7486779384417960187\n",
-      "   2 True\t7486779384417960187\t<\t7836572822392345218\n",
-      "   2 False\t7836572822392345218\t>\t7764144017203847227\n",
-      "   3 False\t7764144017203847227\t>\t189031978929872009\n",
-      "   4 False\t189031978929872009\t>\t105294415950157060\n",
-      "   2 True\t105294415950157060\t<\t7906489359978440374\n",
-      "   1 True\t7906489359978440374\t=\t7906489359978440374\n",
-      "   2 False\t7906489359978440374\t>\t6264442035114760675\n",
-      "   3 False\t6264442035114760675\t>\t2763764770509688739\n",
-      "   4 False\t2763764770509688739\t>\t1994365419443640127\n",
-      "   5 False\t1994365419443640127\t>\t913123078127968744\n",
-      "   6 False\t913123078127968744\t>\t196710960060065007\n",
-      "   7 False\t196710960060065007\t>\t105806008667459370\n",
-      "   8 False\t105806008667459370\t>\t64642349863270219\n",
-      "   9 False\t64642349863270219\t>\t41409603980479886\n",
-      "  10 False\t41409603980479886\t>\t40296453830336051\n",
-      "  11 False\t40296453830336051\t>\t17552033570066532\n",
-      "  12 False\t17552033570066532\t>\t12015067144832385\n",
-      "  13 False\t12015067144832385\t>\t7045797810170289\n",
-      "  14 False\t7045797810170289\t>\t720123419639027\n",
-      "  15 False\t720123419639027\t>\t71202519832265\n",
-      "  16 False\t71202519832265\t>\t61400956110803\n",
-      "  17 False\t61400956110803\t>\t5435587365459\n",
-      "  18 False\t5435587365459\t>\t3996755641409\n",
-      "   2 True\t3996755641409\t<\t8401347634903868984\n",
-      "   2 False\t8401347634903868984\t>\t7159199819266651371\n",
-      "   3 False\t7159199819266651371\t>\t5284419500344730602\n",
-      "   4 False\t5284419500344730602\t>\t3951373439552153349\n",
-      "   5 False\t3951373439552153349\t>\t1917939358725755513\n",
-      "   6 False\t1917939358725755513\t>\t1366263088364530417\n",
-      "   2 True\t1366263088364530417\t<\t8974625998606998497\n",
-      "   3 True\t8974625998606998497\t<\t9004576599518774681\n",
-      "   4 True\t9004576599518774681\t<\t9178562116858437531\n",
-      "   2 False\t9178562116858437531\t>\t4822973936343002985\n",
-      "   3 False\t4822973936343002985\t>\t2553592502773903295\n",
-      "   4 False\t2553592502773903295\t>\t2462871601919615686\n",
-      "   1 False\t2462871601919615686\t=\t2462871601919615686\n",
-      "   2 False\t2462871601919615686\t>\t1731113278493469411\n",
-      "   3 False\t1731113278493469411\t>\t115296013014605501\n",
-      "   4 False\t115296013014605501\t>\t32508580968680022\n",
-      "   2 True\t32508580968680022\t<\t7040082410593219911\n",
-      "   3 True\t7040082410593219911\t<\t8779304343786764217\n",
-      "   4 True\t8779304343786764217\t<\t9132249798637776458\n",
-      "   5 True\t9132249798637776458\t<\t9179293388869501805\n",
-      "   6 True\t9179293388869501805\t<\t9197128996322630213\n",
-      "   7 True\t9197128996322630213\t<\t9212045446014294332\n",
-      "   8 True\t9212045446014294332\t<\t9214022893844534127\n",
-      "   9 True\t9214022893844534127\t<\t9220776586136366655\n",
-      "  10 True\t9220776586136366655\t<\t9221824433820224961\n",
-      "   2 False\t9221824433820224961\t>\t1298104569648122233\n",
-      "   3 False\t1298104569648122233\t>\t792970633714729989\n",
-      "   2 True\t792970633714729989\t<\t2795509142527218930\n",
-      "   3 True\t2795509142527218930\t<\t5039047690360096428\n",
-      "   4 True\t5039047690360096428\t<\t6567901271722873700\n",
-      "   5 True\t6567901271722873700\t<\t8289865120719706986\n",
-      "   2 False\t8289865120719706986\t>\t7159935180757692125\n",
-      "   1 False\t7159935180757692125\t=\t7159935180757692125\n",
-      "   2 True\t7159935180757692125\t<\t8671320776487701557\n",
-      "   2 False\t8671320776487701557\t>\t2194690533115318055\n",
-      "   3 False\t2194690533115318055\t>\t494074747374913782\n",
-      "   4 False\t494074747374913782\t>\t100844664462351648\n",
-      "   5 False\t100844664462351648\t>\t15961717421312168\n",
-      "   2 True\t15961717421312168\t<\t8763068334308702261\n",
-      "   3 True\t8763068334308702261\t<\t9168042275548925401\n",
-      "   4 True\t9168042275548925401\t<\t9185296877813494878\n",
-      "   5 True\t9185296877813494878\t<\t9200217709492131807\n",
-      "   2 False\t9200217709492131807\t>\t4917543979848720735\n",
-      "   1 False\t4917543979848720735\t=\t4917543979848720735\n",
-      "   2 True\t4917543979848720735\t<\t6167162240796797379\n",
-      "   3 True\t6167162240796797379\t<\t6300074236818715954\n",
-      "   4 True\t6300074236818715954\t<\t6394423030628637566\n",
-      "   5 True\t6394423030628637566\t<\t7246937574779249816\n",
-      "   6 True\t7246937574779249816\t<\t8590800154575641456\n",
-      "   7 True\t8590800154575641456\t<\t8610187508177573241\n",
-      "   8 True\t8610187508177573241\t<\t8717282594525656941\n",
-      "   9 True\t8717282594525656941\t<\t8745556961561428380\n",
-      "   2 False\t8745556961561428380\t>\t2358989128919471289\n",
-      "   3 False\t2358989128919471289\t>\t1762391648802213410\n",
-      "   4 False\t1762391648802213410\t>\t1014967253990913145\n",
-      "   2 True\t1014967253990913145\t<\t8309867083898818087\n",
-      "   3 True\t8309867083898818087\t<\t8447669140993255560\n",
-      "   1 True\t8447669140993255560\t=\t8447669140993255560\n",
-      "   2 False\t8447669140993255560\t>\t5992868635701640942\n",
-      "   2 True\t5992868635701640942\t<\t8162931378362484349\n",
-      "   1 True\t8162931378362484349\t=\t8162931378362484349\n",
-      "   2 False\t8162931378362484349\t>\t5202924755506280595\n",
-      "   3 False\t5202924755506280595\t>\t805071579069544981\n",
-      "   1 False\t805071579069544981\t=\t805071579069544981\n",
-      "   2 False\t805071579069544981\t>\t688070618594892750\n",
-      "   3 False\t688070618594892750\t>\t115346059064291114\n",
-      "   4 False\t115346059064291114\t>\t78494722614759601\n",
-      "   5 False\t78494722614759601\t>\t45687738017411508\n",
-      "   2 True\t45687738017411508\t<\t431609423161435160\n",
-      "   3 True\t431609423161435160\t<\t6551704808076987380\n",
-      "   1 True\t6551704808076987380\t=\t6551704808076987380\n",
-      "   2 True\t6551704808076987380\t<\t7744485602143175015\n",
-      "   2 False\t7744485602143175015\t>\t5013988267395469952\n",
-      "   3 False\t5013988267395469952\t>\t918468149018196132\n",
-      "   4 False\t918468149018196132\t>\t326100014417718965\n",
-      "   2 True\t326100014417718965\t<\t8237329764781492689\n",
-      "   2 False\t8237329764781492689\t>\t3565586407482738326\n",
-      "   2 True\t3565586407482738326\t<\t3706027326741095092\n",
-      "   3 True\t3706027326741095092\t<\t9138358309097523461\n",
-      "   4 True\t9138358309097523461\t<\t9206549041300922487\n",
-      "   5 True\t9206549041300922487\t<\t9217515601631758484\n",
-      "   6 True\t9217515601631758484\t<\t9221342697030728202\n",
-      "   7 True\t9221342697030728202\t<\t9222924490986212102\n",
-      "   8 True\t9222924490986212102\t<\t9223024976618485862\n",
-      "   9 True\t9223024976618485862\t<\t9223269789709175876\n",
-      "   2 False\t9223269789709175876\t>\t7708708455015268157\n",
-      "   2 True\t7708708455015268157\t<\t7997319427115051965\n",
-      "   3 True\t7997319427115051965\t<\t9056996538440209834\n",
-      "   4 True\t9056996538440209834\t<\t9175253404381171576\n",
-      "   2 False\t9175253404381171576\t>\t2415309471484327035\n",
-      "   3 False\t2415309471484327035\t>\t1241042805938579872\n",
-      "   4 False\t1241042805938579872\t>\t507086157663743114\n",
-      "   2 True\t507086157663743114\t<\t536705305514448362\n",
-      "   3 True\t536705305514448362\t<\t3699456004799840554\n",
-      "   4 True\t3699456004799840554\t<\t7913374668624706040\n",
-      "   5 True\t7913374668624706040\t<\t8423554343850099645\n",
-      "   2 False\t8423554343850099645\t>\t3059799433001961857\n",
-      "   2 True\t3059799433001961857\t<\t6055706897303593248\n",
-      "   2 False\t6055706897303593248\t>\t758451808753754597\n",
-      "   1 False\t758451808753754597\t=\t758451808753754597\n",
-      "   2 False\t758451808753754597\t>\t734237882290375404\n",
-      "   3 False\t734237882290375404\t>\t558886863281055744\n",
-      "   4 False\t558886863281055744\t>\t425661422055012375\n",
-      "   5 False\t425661422055012375\t>\t387586190529729065\n",
-      "   6 False\t387586190529729065\t>\t61572234911742782\n",
-      "   7 False\t61572234911742782\t>\t59156396610266783\n",
-      "   8 False\t59156396610266783\t>\t2531844070092770\n",
-      "   9 False\t2531844070092770\t>\t1401624429372074\n",
-      "   2 True\t1401624429372074\t<\t3596446706282342961\n",
-      "   3 True\t3596446706282342961\t<\t4542467843978359273\n",
-      "   4 True\t4542467843978359273\t<\t5461014732495103554\n",
-      "   5 True\t5461014732495103554\t<\t8583988239101998212\n",
-      "   1 True\t8583988239101998212\t=\t8583988239101998212\n",
-      "   2 True\t8583988239101998212\t<\t9201108620770673480\n",
-      "   3 True\t9201108620770673480\t<\t9214482133792295418\n",
-      "   2 False\t9214482133792295418\t>\t8064109231187410081\n",
-      "   3 False\t8064109231187410081\t>\t4976011549333417480\n",
-      "   4 False\t4976011549333417480\t>\t2632243327144649828\n",
-      "   5 False\t2632243327144649828\t>\t1988943508444249076\n",
-      "   2 True\t1988943508444249076\t<\t3568444409071299380\n",
-      "   2 False\t3568444409071299380\t>\t1510156163686086947\n",
-      "   3 False\t1510156163686086947\t>\t640983752464795769\n",
-      "   2 True\t640983752464795769\t<\t8643652275098453515\n",
-      "   3 True\t8643652275098453515\t<\t9073667356381460648\n",
-      "   4 True\t9073667356381460648\t<\t9157059206493430031\n",
-      "   5 True\t9157059206493430031\t<\t9169020338491947145\n",
-      "   6 True\t9169020338491947145\t<\t9182766810413818850\n",
-      "   7 True\t9182766810413818850\t<\t9199031027487742440\n",
-      "   8 True\t9199031027487742440\t<\t9214927704831743465\n",
-      "   9 True\t9214927704831743465\t<\t9220042018673381471\n",
-      "   2 False\t9220042018673381471\t>\t8610721759839719754\n",
-      "   3 False\t8610721759839719754\t>\t6126539335859734818\n",
-      "   4 False\t6126539335859734818\t>\t1759168128511182165\n",
-      "   5 False\t1759168128511182165\t>\t128730061401689967\n",
-      "   6 False\t128730061401689967\t>\t38515246882749736\n",
-      "   2 True\t38515246882749736\t<\t7697939668909032454\n",
-      "   3 True\t7697939668909032454\t<\t7877810256104987817\n",
-      "   4 True\t7877810256104987817\t<\t8804883115601435914\n",
-      "   5 True\t8804883115601435914\t<\t9030194366386564016\n",
-      "   6 True\t9030194366386564016\t<\t9178559364580427111\n",
-      "   7 True\t9178559364580427111\t<\t9187946638608618913\n",
-      "   8 True\t9187946638608618913\t<\t9216887932467689587\n",
-      "   9 True\t9216887932467689587\t<\t9221179367690661210\n",
-      "  10 True\t9221179367690661210\t<\t9221916990630996521\n",
-      "  11 True\t9221916990630996521\t<\t9222653337009708631\n",
-      "  12 True\t9222653337009708631\t<\t9223246135690974876\n",
-      "   1 True\t9223246135690974876\t=\t9223246135690974876\n",
-      "   2 True\t9223246135690974876\t<\t9223349685869135451\n",
-      "   2 False\t9223349685869135451\t>\t7904515511720843280\n",
-      "   3 False\t7904515511720843280\t>\t5413794884817907339\n",
-      "   4 False\t5413794884817907339\t>\t3311792264809200107\n",
-      "   5 False\t3311792264809200107\t>\t3005308539694428178\n",
-      "   2 True\t3005308539694428178\t<\t6867477760395199310\n",
-      "   3 True\t6867477760395199310\t<\t6927600986281032479\n",
-      "   4 True\t6927600986281032479\t<\t8018056820719400172\n",
-      "   2 False\t8018056820719400172\t>\t3352165232193461543\n",
-      "   2 True\t3352165232193461543\t<\t5966252649575137061\n",
-      "   3 True\t5966252649575137061\t<\t7624323927092857958\n",
-      "   2 False\t7624323927092857958\t>\t6461193853064444913\n",
-      "   3 False\t6461193853064444913\t>\t2688887646312626557\n",
-      "   2 True\t2688887646312626557\t<\t8562888534625602905\n",
-      "   1 True\t8562888534625602905\t=\t8562888534625602905\n",
-      "   2 False\t8562888534625602905\t>\t2444607299876069781\n",
-      "   3 False\t2444607299876069781\t>\t491006655719616666\n",
-      "   2 True\t491006655719616666\t<\t2625588174604550916\n",
-      "   3 True\t2625588174604550916\t<\t8671114179003507305\n",
-      "   2 False\t8671114179003507305\t>\t1447708315881738896\n",
-      "   3 False\t1447708315881738896\t>\t946158547532963305\n",
-      "   4 False\t946158547532963305\t>\t352850244931215645\n",
-      "   5 False\t352850244931215645\t>\t336286177567525051\n",
-      "   6 False\t336286177567525051\t>\t148760480734930240\n",
-      "   1 False\t148760480734930240\t=\t148760480734930240\n",
-      "   2 True\t148760480734930240\t<\t6898911253685161041\n",
-      "   3 True\t6898911253685161041\t<\t7816115706240942683\n",
-      "   4 True\t7816115706240942683\t<\t8898229139004060751\n",
-      "   5 True\t8898229139004060751\t<\t9037683932455720466\n",
-      "   6 True\t9037683932455720466\t<\t9055919142384573620\n",
-      "   1 True\t9055919142384573620\t=\t9055919142384573620\n",
-      "   2 False\t9055919142384573620\t>\t6496024878180157613\n",
-      "   2 True\t6496024878180157613\t<\t7090297295603086346\n",
-      "   2 False\t7090297295603086346\t>\t360701285942842702\n",
-      "   3 False\t360701285942842702\t>\t32775889857110798\n",
-      "   4 False\t32775889857110798\t>\t25696772078336764\n",
-      "   5 False\t25696772078336764\t>\t2851076331441676\n",
-      "   6 False\t2851076331441676\t>\t1464997750762799\n",
-      "   2 True\t1464997750762799\t<\t2145016347260544221\n",
-      "   3 True\t2145016347260544221\t<\t7113774098210553081\n",
-      "   4 True\t7113774098210553081\t<\t8260690191099416909\n",
-      "   2 False\t8260690191099416909\t>\t1871896478819184816\n",
-      "   3 False\t1871896478819184816\t>\t1185732866388403208\n",
-      "   4 False\t1185732866388403208\t>\t545372547776943092\n",
-      "   5 False\t545372547776943092\t>\t526669220930879072\n",
-      "   6 False\t526669220930879072\t>\t341212750152880154\n",
-      "   7 False\t341212750152880154\t>\t316961891793909805\n",
-      "   2 True\t316961891793909805\t<\t6845595616253841221\n",
-      "   2 False\t6845595616253841221\t>\t3843884586263769016\n",
-      "   3 False\t3843884586263769016\t>\t1144626070270586\n",
-      "   4 False\t1144626070270586\t>\t5175097309789\n",
-      "   5 False\t5175097309789\t>\t4160188911724\n",
-      "   6 False\t4160188911724\t>\t1601095892760\n",
-      "   1 False\t1601095892760\t=\t1601095892760\n",
-      "   2 True\t1601095892760\t<\t8050826572363894311\n",
-      "   2 False\t8050826572363894311\t>\t3710108371479558988\n",
-      "   3 False\t3710108371479558988\t>\t3667383419972019675\n",
-      "   4 False\t3667383419972019675\t>\t2175574500531962131\n",
-      "   2 True\t2175574500531962131\t<\t7363959640022687299\n",
-      "   3 True\t7363959640022687299\t<\t8184196764131921826\n",
-      "   2 False\t8184196764131921826\t>\t7869681986657541637\n",
-      "   3 False\t7869681986657541637\t>\t6432120443491528327\n",
-      "   4 False\t6432120443491528327\t>\t4835315678364832540\n",
-      "   5 False\t4835315678364832540\t>\t528542086504406254\n",
-      "   2 True\t528542086504406254\t<\t3703035767986806667\n",
-      "   2 False\t3703035767986806667\t>\t3435818937223162150\n",
-      "   3 False\t3435818937223162150\t>\t83342129894841841\n",
-      "   4 False\t83342129894841841\t>\t50600742461085329\n",
-      "   5 False\t50600742461085329\t>\t25496778898872756\n",
-      "   6 False\t25496778898872756\t>\t23889742018705734\n",
-      "   2 True\t23889742018705734\t<\t902052893287230143\n",
-      "   2 False\t902052893287230143\t>\t87458986510611407\n",
-      "   2 True\t87458986510611407\t<\t982306328244098586\n",
-      "   3 True\t982306328244098586\t<\t3709529302807303727\n",
-      "   2 False\t3709529302807303727\t>\t1472068458154042520\n",
-      "   3 False\t1472068458154042520\t>\t1161016016879717804\n",
-      "   2 True\t1161016016879717804\t<\t5582080342860395566\n",
-      "   3 True\t5582080342860395566\t<\t6600320844374653447\n",
-      "   4 True\t6600320844374653447\t<\t9213955505111110859\n",
-      "   5 True\t9213955505111110859\t<\t9218996138248068561\n",
-      "   2 False\t9218996138248068561\t>\t3289404478735613351\n",
-      "   2 True\t3289404478735613351\t<\t5180833593416959094\n",
-      "   2 False\t5180833593416959094\t>\t3980063185833546162\n",
-      "   2 True\t3980063185833546162\t<\t4329608368444442049\n",
-      "   3 True\t4329608368444442049\t<\t8058844643648120604\n",
-      "   4 True\t8058844643648120604\t<\t8760821026657356040\n",
-      "   5 True\t8760821026657356040\t<\t9131305218151112009\n",
-      "   6 True\t9131305218151112009\t<\t9210132100754141812\n",
-      "   2 False\t9210132100754141812\t>\t4840712783766557692\n",
-      "   3 False\t4840712783766557692\t>\t3071174060836336849\n",
-      "   4 False\t3071174060836336849\t>\t1544083492917002090\n",
-      "   5 False\t1544083492917002090\t>\t1489030301986603253\n",
-      "   6 False\t1489030301986603253\t>\t1344298284776993525\n",
-      "   2 True\t1344298284776993525\t<\t1714814302444729417\n",
-      "   3 True\t1714814302444729417\t<\t4327324238513954660\n",
-      "   4 True\t4327324238513954660\t<\t6035076469491084057\n",
-      "   2 False\t6035076469491084057\t>\t78951456511568369\n",
-      "   2 True\t78951456511568369\t<\t2929035572859961373\n",
-      "   3 True\t2929035572859961373\t<\t5403807844637625572\n",
-      "   4 True\t5403807844637625572\t<\t6944626327254089382\n",
-      "   2 False\t6944626327254089382\t>\t2126328697590286416\n",
-      "   3 False\t2126328697590286416\t>\t208189805317338301\n",
-      "   2 True\t208189805317338301\t<\t5496988150935448602\n",
-      "   3 True\t5496988150935448602\t<\t8427284687926664244\n",
-      "   2 False\t8427284687926664244\t>\t3890704568089273609\n",
-      "   2 True\t3890704568089273609\t<\t7215214667322527493\n",
-      "   2 False\t7215214667322527493\t>\t2197452220557804662\n",
-      "   3 False\t2197452220557804662\t>\t78199736014054873\n",
-      "   4 False\t78199736014054873\t>\t76439582385673517\n",
-      "   2 True\t76439582385673517\t<\t2188921857186390453\n",
-      "   2 False\t2188921857186390453\t>\t760664028520774204\n",
-      "   2 True\t760664028520774204\t<\t8751489342436473565\n",
-      "   2 False\t8751489342436473565\t>\t1247415110931460667\n",
-      "   2 True\t1247415110931460667\t<\t5365507178995488756\n",
-      "   3 True\t5365507178995488756\t<\t6401921403173238110\n",
-      "   4 True\t6401921403173238110\t<\t8665765624969250797\n",
-      "   5 True\t8665765624969250797\t<\t9152349792328964010\n",
-      "   2 False\t9152349792328964010\t>\t667992671849094549\n",
-      "   3 False\t667992671849094549\t>\t286113976911130580\n",
-      "   1 False\t286113976911130580\t=\t286113976911130580\n",
-      "   2 False\t286113976911130580\t>\t226616562645165877\n",
-      "   3 False\t226616562645165877\t>\t145856820772475855\n",
-      "   2 True\t145856820772475855\t<\t1774793007124866456\n",
-      "   2 False\t1774793007124866456\t>\t355255735621691898\n",
-      "   2 True\t355255735621691898\t<\t1740309447052433853\n",
-      "   1 True\t1740309447052433853\t=\t1740309447052433853\n",
-      "   2 False\t1740309447052433853\t>\t1075076365523767730\n",
-      "   3 False\t1075076365523767730\t>\t451027529567659530\n",
-      "   4 False\t451027529567659530\t>\t137713073555369565\n",
-      "   5 False\t137713073555369565\t>\t110826594346422835\n",
-      "   6 False\t110826594346422835\t>\t100072922197109141\n",
-      "   7 False\t100072922197109141\t>\t54326756037003236\n",
-      "   2 True\t54326756037003236\t<\t8402473151044266608\n",
-      "   3 True\t8402473151044266608\t<\t8573777978359080294\n",
-      "   4 True\t8573777978359080294\t<\t9130297865066584807\n",
-      "   2 False\t9130297865066584807\t>\t4207132779842550056\n",
-      "   2 True\t4207132779842550056\t<\t8124587087136395692\n",
-      "   3 True\t8124587087136395692\t<\t8286432053732874194\n",
-      "   2 False\t8286432053732874194\t>\t4819838658995338472\n",
-      "   3 False\t4819838658995338472\t>\t3455595152765762188\n",
-      "   1 False\t3455595152765762188\t=\t3455595152765762188\n",
-      "   2 True\t3455595152765762188\t<\t4621117371300420106\n",
-      "   3 True\t4621117371300420106\t<\t5341715948519545771\n",
-      "   4 True\t5341715948519545771\t<\t5836482130658513999\n",
-      "   5 True\t5836482130658513999\t<\t7887739850263064976\n",
-      "   6 True\t7887739850263064976\t<\t8245447102450910708\n",
-      "   2 False\t8245447102450910708\t>\t5667202925276605385\n",
-      "   2 True\t5667202925276605385\t<\t7009365997358626489\n",
-      "   3 True\t7009365997358626489\t<\t8786533177579061842\n",
-      "   4 True\t8786533177579061842\t<\t9089543330763918737\n",
-      "   5 True\t9089543330763918737\t<\t9185652245191406617\n",
-      "   6 True\t9185652245191406617\t<\t9189344376633164824\n",
-      "   7 True\t9189344376633164824\t<\t9198121121399646273\n",
-      "   8 True\t9198121121399646273\t<\t9221138341849479032\n",
-      "   9 True\t9221138341849479032\t<\t9223226775484929186\n",
-      "  10 True\t9223226775484929186\t<\t9223352402801606293\n",
-      "  11 True\t9223352402801606293\t<\t9223362516604252127\n",
-      "   2 False\t9223362516604252127\t>\t1611585696584839935\n",
-      "   3 False\t1611585696584839935\t>\t1265178612122870724\n",
-      "   1 False\t1265178612122870724\t=\t1265178612122870724\n",
-      "   2 True\t1265178612122870724\t<\t3605192805091174119\n",
-      "   2 False\t3605192805091174119\t>\t3289618940751045458\n",
-      "   3 False\t3289618940751045458\t>\t186073142785746690\n",
-      "   4 False\t186073142785746690\t>\t165493287449721790\n",
-      "   5 False\t165493287449721790\t>\t158965942663245981\n",
-      "   6 False\t158965942663245981\t>\t49149034848206206\n",
-      "   2 True\t49149034848206206\t<\t7563368074822677524\n",
-      "   3 True\t7563368074822677524\t<\t7875427087691056019\n",
-      "   2 False\t7875427087691056019\t>\t3199990079885869230\n",
-      "   3 False\t3199990079885869230\t>\t776757936539623660\n",
-      "   4 False\t776757936539623660\t>\t531805585410887124\n",
-      "   5 False\t531805585410887124\t>\t336357387184202311\n",
-      "   6 False\t336357387184202311\t>\t234971605377515247\n",
-      "   2 True\t234971605377515247\t<\t3701881294916329593\n",
-      "   3 True\t3701881294916329593\t<\t6699284213700918585\n",
-      "   2 False\t6699284213700918585\t>\t4729229326137926303\n",
-      "   3 False\t4729229326137926303\t>\t2480010951927110995\n",
-      "   4 False\t2480010951927110995\t>\t1232019815510089670\n",
-      "   5 False\t1232019815510089670\t>\t445683941652520737\n",
-      "   6 False\t445683941652520737\t>\t86287156884964955\n",
-      "   7 False\t86287156884964955\t>\t16894928909070660\n",
-      "   8 False\t16894928909070660\t>\t9379657047434625\n",
-      "   9 False\t9379657047434625\t>\t4585093509651856\n",
-      "   1 False\t4585093509651856\t=\t4585093509651856\n",
-      "   2 False\t4585093509651856\t>\t1685757559164794\n",
-      "   3 False\t1685757559164794\t>\t583142341798031\n",
-      "   4 False\t583142341798031\t>\t103219439658850\n",
-      "   2 True\t103219439658850\t<\t6568056668796363405\n",
-      "   3 True\t6568056668796363405\t<\t8043615134215203818\n",
-      "   2 False\t8043615134215203818\t>\t990675231455147678\n",
-      "   3 False\t990675231455147678\t>\t5879140306594720\n",
-      "   2 True\t5879140306594720\t<\t3460732100007588009\n",
-      "   3 True\t3460732100007588009\t<\t4122104218582786210\n",
-      "   4 True\t4122104218582786210\t<\t5858656147373374307\n",
-      "   5 True\t5858656147373374307\t<\t6131765762784889846\n",
-      "   6 True\t6131765762784889846\t<\t7370313817491574152\n",
-      "   2 False\t7370313817491574152\t>\t6802982399031693703\n",
-      "   2 True\t6802982399031693703\t<\t6808379738918975084\n",
-      "   3 True\t6808379738918975084\t<\t7440096290639467083\n",
-      "   4 True\t7440096290639467083\t<\t8817589473850009110\n",
-      "   5 True\t8817589473850009110\t<\t9187625611955329927\n",
-      "   6 True\t9187625611955329927\t<\t9190667738380076666\n",
-      "   2 False\t9190667738380076666\t>\t5411249515487653730\n",
-      "   3 False\t5411249515487653730\t>\t2570547702797118599\n",
-      "   2 True\t2570547702797118599\t<\t6309479469400855363\n",
-      "   3 True\t6309479469400855363\t<\t7863416552918885641\n",
-      "   2 False\t7863416552918885641\t>\t5278213111468320085\n",
-      "   3 False\t5278213111468320085\t>\t2892630244740509302\n",
-      "   2 True\t2892630244740509302\t<\t4788747221154080283\n",
-      "   1 True\t4788747221154080283\t=\t4788747221154080283\n",
-      "   2 True\t4788747221154080283\t<\t7484236389161947809\n",
-      "   3 True\t7484236389161947809\t<\t8385651837763536523\n",
-      "   4 True\t8385651837763536523\t<\t9055127027018545754\n",
-      "   2 False\t9055127027018545754\t>\t3336450164900471363\n",
-      "   3 False\t3336450164900471363\t>\t990672457357551932\n",
-      "   4 False\t990672457357551932\t>\t255654248952499974\n",
-      "   5 False\t255654248952499974\t>\t222085445662404723\n",
-      "   6 False\t222085445662404723\t>\t34175738212212389\n",
-      "   2 True\t34175738212212389\t<\t2120366427612111638\n",
-      "   2 False\t2120366427612111638\t>\t1138594205728760686\n",
-      "   2 True\t1138594205728760686\t<\t5479682424649818301\n",
-      "   3 True\t5479682424649818301\t<\t7322231851134363231\n",
-      "   4 True\t7322231851134363231\t<\t8763860641386055118\n",
-      "   5 True\t8763860641386055118\t<\t8836677200187287958\n",
-      "   6 True\t8836677200187287958\t<\t9156704333566455774\n",
-      "   7 True\t9156704333566455774\t<\t9207386738563356016\n",
-      "   2 False\t9207386738563356016\t>\t7255266040056911983\n",
-      "   3 False\t7255266040056911983\t>\t2294267929414225481\n",
-      "   4 False\t2294267929414225481\t>\t1348900814691297737\n",
-      "   2 True\t1348900814691297737\t<\t7988805117112316833\n",
-      "   3 True\t7988805117112316833\t<\t8618995097019227809\n",
-      "   4 True\t8618995097019227809\t<\t9135213527801465760\n",
-      "   5 True\t9135213527801465760\t<\t9147858763833851852\n",
-      "   6 True\t9147858763833851852\t<\t9196510671730437239\n",
-      "   2 False\t9196510671730437239\t>\t4683454941241516853\n",
-      "   3 False\t4683454941241516853\t>\t4133265132520640104\n",
-      "   2 True\t4133265132520640104\t<\t8875617220310851895\n",
-      "   2 False\t8875617220310851895\t>\t7675086310220797566\n",
-      "   1 False\t7675086310220797566\t=\t7675086310220797566\n",
-      "   2 False\t7675086310220797566\t>\t6317305823333627101\n",
-      "   3 False\t6317305823333627101\t>\t5036235515493855865\n",
-      "   4 False\t5036235515493855865\t>\t702239367602825736\n",
-      "   2 True\t702239367602825736\t<\t8711949822342322676\n",
-      "   2 False\t8711949822342322676\t>\t5768799944586975086\n",
-      "   3 False\t5768799944586975086\t>\t5305134844384846031\n",
-      "   4 False\t5305134844384846031\t>\t2277749368879425002\n",
-      "   5 False\t2277749368879425002\t>\t1924670694900415857\n",
-      "   2 True\t1924670694900415857\t<\t2955387203472665016\n",
-      "   3 True\t2955387203472665016\t<\t4897533927858563015\n",
-      "   2 False\t4897533927858563015\t>\t1251834029708923967\n",
-      "   3 False\t1251834029708923967\t>\t262990711961052872\n",
-      "   4 False\t262990711961052872\t>\t252259120749670146\n",
-      "   5 False\t252259120749670146\t>\t161304578378773356\n",
-      "   6 False\t161304578378773356\t>\t50583344884786593\n",
-      "   2 True\t50583344884786593\t<\t8716765701032595624\n",
-      "   3 True\t8716765701032595624\t<\t9195355214491351917\n",
-      "   4 True\t9195355214491351917\t<\t9214119834927916302\n",
-      "   5 True\t9214119834927916302\t<\t9214234164939042267\n",
-      "   6 True\t9214234164939042267\t<\t9221268074697229177\n",
-      "   7 True\t9221268074697229177\t<\t9222381756598918712\n",
-      "   8 True\t9222381756598918712\t<\t9222973403932436200\n",
-      "   1 True\t9222973403932436200\t=\t9222973403932436200\n",
-      "   2 False\t9222973403932436200\t>\t2397742541051093971\n",
-      "   2 True\t2397742541051093971\t<\t8383206939442616966\n",
-      "   2 False\t8383206939442616966\t>\t7616355656777780160\n",
-      "   3 False\t7616355656777780160\t>\t4775982450127669581\n",
-      "   4 False\t4775982450127669581\t>\t281145246967592362\n",
-      "   5 False\t281145246967592362\t>\t176314141900355869\n",
-      "   1 False\t176314141900355869\t=\t176314141900355869\n",
-      "   2 False\t176314141900355869\t>\t36494572465401549\n",
-      "   2 True\t36494572465401549\t<\t815134510489885036\n",
-      "   3 True\t815134510489885036\t<\t9215369711180758040\n",
-      "   4 True\t9215369711180758040\t<\t9217292126517998378\n",
-      "   5 True\t9217292126517998378\t<\t9218436602095674065\n",
-      "   6 True\t9218436602095674065\t<\t9219870687553952181\n",
-      "   2 False\t9219870687553952181\t>\t6528645860041684629\n",
-      "   3 False\t6528645860041684629\t>\t2611949485116982190\n",
-      "   4 False\t2611949485116982190\t>\t743548708575099945\n",
-      "   2 True\t743548708575099945\t<\t6881088682562671689\n",
-      "   2 False\t6881088682562671689\t>\t4649388975368143436\n",
-      "   3 False\t4649388975368143436\t>\t174972785285329175\n",
-      "   4 False\t174972785285329175\t>\t66925230740875443\n",
-      "   2 True\t66925230740875443\t<\t5486938557226916765\n",
-      "   2 False\t5486938557226916765\t>\t521211785289296747\n",
-      "   2 True\t521211785289296747\t<\t5209055924428760871\n",
-      "   1 True\t5209055924428760871\t=\t5209055924428760871\n",
-      "   2 False\t5209055924428760871\t>\t1390982775238476395\n",
-      "   3 False\t1390982775238476395\t>\t979758276774281944\n",
-      "   2 True\t979758276774281944\t<\t7760199101677436033\n",
-      "   3 True\t7760199101677436033\t<\t8207556874545036694\n",
-      "   2 False\t8207556874545036694\t>\t1463921574449841654\n",
-      "   2 True\t1463921574449841654\t<\t7670647415989657755\n",
-      "   3 True\t7670647415989657755\t<\t8192126047121568470\n",
-      "   4 True\t8192126047121568470\t<\t9110356599921809044\n",
-      "   2 False\t9110356599921809044\t>\t3652528171629164552\n",
-      "   3 False\t3652528171629164552\t>\t641858618035762186\n",
-      "   4 False\t641858618035762186\t>\t188615811252475310\n",
-      "   5 False\t188615811252475310\t>\t28036880792082696\n",
-      "   2 True\t28036880792082696\t<\t2315621690101702990\n",
-      "   3 True\t2315621690101702990\t<\t3197293176140773007\n",
-      "   2 False\t3197293176140773007\t>\t859470875137636114\n",
-      "   3 False\t859470875137636114\t>\t588465754508766376\n",
-      "   2 True\t588465754508766376\t<\t8308020620047967117\n",
-      "   2 False\t8308020620047967117\t>\t4168406546027033347\n",
-      "   3 False\t4168406546027033347\t>\t81116571740087359\n",
-      "   2 True\t81116571740087359\t<\t2297471371199969547\n",
-      "   3 True\t2297471371199969547\t<\t4611859950097235208\n",
-      "   4 True\t4611859950097235208\t<\t6803572044422476355\n",
-      "   2 False\t6803572044422476355\t>\t5072982039759299213\n",
-      "   3 False\t5072982039759299213\t>\t1277570766570126184\n",
-      "   4 False\t1277570766570126184\t>\t974828630352396717\n",
-      "   5 False\t974828630352396717\t>\t811609090006798023\n",
-      "   6 False\t811609090006798023\t>\t402835482620813568\n",
-      "   7 False\t402835482620813568\t>\t157386404012721153\n",
-      "   8 False\t157386404012721153\t>\t102565937399577130\n",
-      "   9 False\t102565937399577130\t>\t32921239187534780\n",
-      "   2 True\t32921239187534780\t<\t7721970024260726695\n",
-      "   3 True\t7721970024260726695\t<\t9000454190206035452\n",
-      "   4 True\t9000454190206035452\t<\t9208903972567782627\n",
-      "   5 True\t9208903972567782627\t<\t9223360278406190146\n",
-      "   6 True\t9223360278406190146\t<\t9223371560327520192\n",
-      "   7 True\t9223371560327520192\t<\t9223371950302270014\n",
-      "   2 False\t9223371950302270014\t>\t3129649741593680694\n",
-      "   3 False\t3129649741593680694\t>\t470568185127787688\n",
-      "   4 False\t470568185127787688\t>\t411332008117674332\n",
-      "   2 True\t411332008117674332\t<\t4370922030964617351\n",
-      "   3 True\t4370922030964617351\t<\t6884609771229018156\n",
-      "   2 False\t6884609771229018156\t>\t2680801542198391953\n",
-      "   3 False\t2680801542198391953\t>\t437548926340938200\n",
-      "   4 False\t437548926340938200\t>\t87012068857039536\n",
-      "   2 True\t87012068857039536\t<\t449662268093539684\n",
-      "   3 True\t449662268093539684\t<\t7809444667113115857\n",
-      "   4 True\t7809444667113115857\t<\t8062088333651201414\n",
-      "   5 True\t8062088333651201414\t<\t8072105221472343861\n",
-      "   6 True\t8072105221472343861\t<\t8904291782457615816\n",
-      "   7 True\t8904291782457615816\t<\t9104126916778773713\n",
-      "   2 False\t9104126916778773713\t>\t1265470603043120684\n",
-      "   3 False\t1265470603043120684\t>\t84398523822995970\n",
-      "   4 False\t84398523822995970\t>\t29785100047635759\n",
-      "   2 True\t29785100047635759\t<\t3158195480406333677\n",
-      "   3 True\t3158195480406333677\t<\t8505001228561049007\n",
-      "   4 True\t8505001228561049007\t<\t8797194673614768654\n",
-      "   5 True\t8797194673614768654\t<\t8980333864245035165\n",
-      "   6 True\t8980333864245035165\t<\t9065051273126457735\n",
-      "   7 True\t9065051273126457735\t<\t9175528539315560432\n",
-      "   8 True\t9175528539315560432\t<\t9185441131213357286\n",
-      "   2 False\t9185441131213357286\t>\t6709941237283401326\n",
-      "   1 False\t6709941237283401326\t=\t6709941237283401326\n",
-      "   2 False\t6709941237283401326\t>\t3195321082504084994\n",
-      "   3 False\t3195321082504084994\t>\t315113631430557711\n",
-      "   2 True\t315113631430557711\t<\t4244279785857242510\n",
-      "   3 True\t4244279785857242510\t<\t7566343892887340671\n",
-      "   4 True\t7566343892887340671\t<\t9068532547681844074\n",
-      "   5 True\t9068532547681844074\t<\t9122037523959759014\n",
-      "   2 False\t9122037523959759014\t>\t5234078632076428686\n",
-      "   3 False\t5234078632076428686\t>\t4126486567615810931\n",
-      "   2 True\t4126486567615810931\t<\t6930716663974292293\n",
-      "   3 True\t6930716663974292293\t<\t8976993400142643340\n",
-      "   1 True\t8976993400142643340\t=\t8976993400142643340\n",
-      "   2 True\t8976993400142643340\t<\t9103853864758408531\n",
-      "   1 True\t9103853864758408531\t=\t9103853864758408531\n",
-      "   2 True\t9103853864758408531\t<\t9163335309216881576\n",
-      "   3 True\t9163335309216881576\t<\t9167345668257403749\n",
-      "   2 False\t9167345668257403749\t>\t13016948964832355\n",
-      "   3 False\t13016948964832355\t>\t7017652186002652\n",
-      "   2 True\t7017652186002652\t<\t3783527760001314422\n",
-      "   3 True\t3783527760001314422\t<\t7886989547653325803\n",
-      "   4 True\t7886989547653325803\t<\t8134571207801668186\n",
-      "   2 False\t8134571207801668186\t>\t2819449484975182705\n",
-      "   2 True\t2819449484975182705\t<\t7133898635144939274\n",
-      "   3 True\t7133898635144939274\t<\t7250186899111740811\n",
-      "   2 False\t7250186899111740811\t>\t2911260151978643404\n",
-      "   3 False\t2911260151978643404\t>\t884319216486587790\n",
-      "   4 False\t884319216486587790\t>\t45085399033558820\n",
-      "   5 False\t45085399033558820\t>\t30821352950016860\n",
-      "   6 False\t30821352950016860\t>\t8157472948875014\n",
-      "   2 True\t8157472948875014\t<\t7142731878051825361\n",
-      "   1 True\t7142731878051825361\t=\t7142731878051825361\n",
-      "   2 True\t7142731878051825361\t<\t8922415930781306284\n",
-      "   2 False\t8922415930781306284\t>\t7464954381399792626\n",
-      "   3 False\t7464954381399792626\t>\t5237371488020309146\n",
-      "   4 False\t5237371488020309146\t>\t1181917113959910726\n",
-      "   5 False\t1181917113959910726\t>\t262108860600294197\n",
-      "   6 False\t262108860600294197\t>\t206789686655160297\n",
-      "   2 True\t206789686655160297\t<\t7488081523860156514\n",
-      "   2 False\t7488081523860156514\t>\t3053823051605122513\n",
-      "   3 False\t3053823051605122513\t>\t2076140551993310614\n",
-      "   4 False\t2076140551993310614\t>\t304604484931251182\n",
-      "   5 False\t304604484931251182\t>\t136323240355706330\n",
-      "   2 True\t136323240355706330\t<\t2319762292455986172\n",
-      "   2 False\t2319762292455986172\t>\t2224289269913850816\n",
-      "   3 False\t2224289269913850816\t>\t884734633026060124\n",
-      "   4 False\t884734633026060124\t>\t829608461502708235\n",
-      "   2 True\t829608461502708235\t<\t5698512463049457347\n",
-      "   2 False\t5698512463049457347\t>\t962479643465357619\n",
-      "   3 False\t962479643465357619\t>\t705045268355921295\n",
-      "   4 False\t705045268355921295\t>\t314153673057096281\n",
-      "   5 False\t314153673057096281\t>\t34457702579520148\n",
-      "   6 False\t34457702579520148\t>\t30470363572214595\n",
-      "   2 True\t30470363572214595\t<\t1083250936083751737\n",
-      "   3 True\t1083250936083751737\t<\t8012442527023974217\n",
-      "   4 True\t8012442527023974217\t<\t8960005136015723731\n",
-      "   2 False\t8960005136015723731\t>\t3006937906573788488\n",
-      "   3 False\t3006937906573788488\t>\t1727408362006045728\n",
-      "   4 False\t1727408362006045728\t>\t142494729519901211\n",
-      "   5 False\t142494729519901211\t>\t25054094223828722\n",
-      "   2 True\t25054094223828722\t<\t6934539243388571299\n",
-      "   3 True\t6934539243388571299\t<\t8075135540309653863\n",
-      "   4 True\t8075135540309653863\t<\t8452559198740587290\n",
-      "   5 True\t8452559198740587290\t<\t9078796409286724658\n",
-      "   6 True\t9078796409286724658\t<\t9199712227943474871\n",
-      "   7 True\t9199712227943474871\t<\t9202658456753201951\n",
-      "   8 True\t9202658456753201951\t<\t9221025134380891324\n",
-      "   9 True\t9221025134380891324\t<\t9221109983098915650\n",
-      "  10 True\t9221109983098915650\t<\t9223219898085234489\n",
-      "   1 True\t9223219898085234489\t=\t9223219898085234489\n",
-      "   2 False\t9223219898085234489\t>\t320302986774432415\n",
-      "   2 True\t320302986774432415\t<\t5070832946065368343\n",
-      "   3 True\t5070832946065368343\t<\t6021656777462957962\n",
-      "   2 False\t6021656777462957962\t>\t559375098293080635\n",
-      "   2 True\t559375098293080635\t<\t891441162141970066\n",
-      "   3 True\t891441162141970066\t<\t3416281521772911553\n",
-      "   2 False\t3416281521772911553\t>\t2611692043501717993\n",
-      "   1 False\t2611692043501717993\t=\t2611692043501717993\n",
-      "   2 True\t2611692043501717993\t<\t4464153824963494818\n",
-      "   3 True\t4464153824963494818\t<\t5356440425280674042\n",
-      "   4 True\t5356440425280674042\t<\t7310150260620596133\n",
-      "   2 False\t7310150260620596133\t>\t6918474064306012385\n",
-      "   1 False\t6918474064306012385\t=\t6918474064306012385\n",
-      "   2 True\t6918474064306012385\t<\t8162268093665159215\n",
-      "   3 True\t8162268093665159215\t<\t8830521291741733130\n",
-      "   4 True\t8830521291741733130\t<\t9013209318495919714\n",
-      "   5 True\t9013209318495919714\t<\t9172951902012137210\n",
-      "   6 True\t9172951902012137210\t<\t9181489406348285245\n",
-      "   7 True\t9181489406348285245\t<\t9184824451796565385\n",
-      "   2 False\t9184824451796565385\t>\t5594819575794102896\n",
-      "   3 False\t5594819575794102896\t>\t3827016324255780583\n",
-      "   4 False\t3827016324255780583\t>\t1856109353537370875\n",
-      "   2 True\t1856109353537370875\t<\t7007567796105429388\n",
-      "   2 False\t7007567796105429388\t>\t586442805734478128\n",
-      "   3 False\t586442805734478128\t>\t564912458055648110\n",
-      "   1 False\t564912458055648110\t=\t564912458055648110\n",
-      "   2 False\t564912458055648110\t>\t450139136634386026\n",
-      "   3 False\t450139136634386026\t>\t364627750373962872\n",
-      "   4 False\t364627750373962872\t>\t284884567509876163\n",
-      "   5 False\t284884567509876163\t>\t147635531936186926\n",
-      "   6 False\t147635531936186926\t>\t23441284420236533\n",
-      "   7 False\t23441284420236533\t>\t1428743712313427\n",
-      "   8 False\t1428743712313427\t>\t938158820105735\n",
-      "   2 True\t938158820105735\t<\t4393424568165889910\n",
-      "   3 True\t4393424568165889910\t<\t7139863715433085435\n",
-      "   1 True\t7139863715433085435\t=\t7139863715433085435\n",
-      "   2 True\t7139863715433085435\t<\t7821572105997242810\n",
-      "   3 True\t7821572105997242810\t<\t8329843018427733779\n",
-      "   1 True\t8329843018427733779\t=\t8329843018427733779\n",
-      "   2 True\t8329843018427733779\t<\t8651463693791617611\n",
-      "   3 True\t8651463693791617611\t<\t8748026795778506440\n",
-      "   2 False\t8748026795778506440\t>\t2260345963309038361\n",
-      "   3 False\t2260345963309038361\t>\t216935302360655472\n",
-      "   4 False\t216935302360655472\t>\t25049796750218262\n",
-      "   2 True\t25049796750218262\t<\t2763822174624308089\n",
-      "   3 True\t2763822174624308089\t<\t8683003431316679733\n",
-      "   4 True\t8683003431316679733\t<\t8973261759436300586\n",
-      "   5 True\t8973261759436300586\t<\t9145378402507068775\n",
-      "   2 False\t9145378402507068775\t>\t6724635340060043959\n",
-      "   3 False\t6724635340060043959\t>\t3208404497275116455\n",
-      "   4 False\t3208404497275116455\t>\t391899650815540326\n",
-      "   2 True\t391899650815540326\t<\t4561044768723586559\n",
-      "   2 False\t4561044768723586559\t>\t937267999770026383\n",
-      "   3 False\t937267999770026383\t>\t925142535578890858\n",
-      "   2 True\t925142535578890858\t<\t6017954176608993382\n",
-      "   3 True\t6017954176608993382\t<\t6405902723834293233\n",
-      "   4 True\t6405902723834293233\t<\t6963462376117646591\n",
-      "   5 True\t6963462376117646591\t<\t7470862775836563724\n",
-      "   6 True\t7470862775836563724\t<\t8361636752296219497\n",
-      "   7 True\t8361636752296219497\t<\t9133033448369623364\n",
-      "   8 True\t9133033448369623364\t<\t9205560880974348213\n",
-      "   9 True\t9205560880974348213\t<\t9218772867749616795\n",
-      "  10 True\t9218772867749616795\t<\t9219310511348715879\n",
-      "  11 True\t9219310511348715879\t<\t9221191022403932850\n",
-      "  12 True\t9221191022403932850\t<\t9222925675200922769\n",
-      "   1 True\t9222925675200922769\t=\t9222925675200922769\n",
-      "   2 True\t9222925675200922769\t<\t9223128412695040401\n",
-      "   3 True\t9223128412695040401\t<\t9223301659823957879\n",
-      "   4 True\t9223301659823957879\t<\t9223316012251730799\n",
-      "   5 True\t9223316012251730799\t<\t9223333937833943521\n",
-      "   6 True\t9223333937833943521\t<\t9223347432268660039\n",
-      "   7 True\t9223347432268660039\t<\t9223363106971046982\n",
-      "   8 True\t9223363106971046982\t<\t9223370087051812009\n",
-      "   9 True\t9223370087051812009\t<\t9223371744330063009\n",
-      "   2 False\t9223371744330063009\t>\t174942869756528477\n",
-      "   3 False\t174942869756528477\t>\t77887914475349346\n",
-      "   4 False\t77887914475349346\t>\t18473534238626097\n",
-      "   5 False\t18473534238626097\t>\t8850795147852219\n",
-      "   1 False\t8850795147852219\t=\t8850795147852219\n",
-      "   2 False\t8850795147852219\t>\t8227645015995947\n",
-      "   2 True\t8227645015995947\t<\t4281109612578416295\n",
-      "   1 True\t4281109612578416295\t=\t4281109612578416295\n",
-      "   2 True\t4281109612578416295\t<\t6965359622916700454\n",
-      "   3 True\t6965359622916700454\t<\t8109595950885379187\n",
-      "   4 True\t8109595950885379187\t<\t9045625799814894694\n",
-      "   5 True\t9045625799814894694\t<\t9201327899660347419\n",
-      "   6 True\t9201327899660347419\t<\t9204009919053057102\n",
-      "   7 True\t9204009919053057102\t<\t9212266175484163278\n",
-      "   8 True\t9212266175484163278\t<\t9217371250707410825\n",
-      "   9 True\t9217371250707410825\t<\t9222367123396134747\n",
-      "  10 True\t9222367123396134747\t<\t9222824152382532329\n",
-      "   2 False\t9222824152382532329\t>\t7037697413699907792\n",
-      "   2 True\t7037697413699907792\t<\t9033733450558237041\n",
-      "   2 False\t9033733450558237041\t>\t1667235687060948428\n",
-      "   2 True\t1667235687060948428\t<\t3255673402046539749\n",
-      "   3 True\t3255673402046539749\t<\t8217928051539468921\n",
-      "   2 False\t8217928051539468921\t>\t3474363775472839231\n",
-      "   3 False\t3474363775472839231\t>\t3309519437115260310\n",
-      "   4 False\t3309519437115260310\t>\t1608508155732196008\n",
-      "   2 True\t1608508155732196008\t<\t7291632442882405073\n",
-      "   2 False\t7291632442882405073\t>\t6591410349737438056\n",
-      "   3 False\t6591410349737438056\t>\t4655881952078952322\n",
-      "   2 True\t4655881952078952322\t<\t8361261525948368801\n",
-      "   3 True\t8361261525948368801\t<\t9144811783337276801\n",
-      "   4 True\t9144811783337276801\t<\t9157157110855884801\n",
-      "   5 True\t9157157110855884801\t<\t9171915083639239375\n",
-      "   6 True\t9171915083639239375\t<\t9215006473040243305\n",
-      "   7 True\t9215006473040243305\t<\t9219873553312601450\n",
-      "   2 False\t9219873553312601450\t>\t1282352738730588615\n",
-      "   2 True\t1282352738730588615\t<\t1336859356644118245\n",
-      "   2 False\t1336859356644118245\t>\t1194075330424226452\n",
-      "   3 False\t1194075330424226452\t>\t1128649443067686518\n",
-      "   4 False\t1128649443067686518\t>\t416113643653346174\n",
-      "   1 False\t416113643653346174\t=\t416113643653346174\n",
-      "   2 False\t416113643653346174\t>\t190969935139815376\n",
-      "   3 False\t190969935139815376\t>\t43344467650776294\n",
-      "   4 False\t43344467650776294\t>\t27526655057286296\n",
-      "   2 True\t27526655057286296\t<\t8838730794532630896\n",
-      "   3 True\t8838730794532630896\t<\t8976042929701588382\n",
-      "   4 True\t8976042929701588382\t<\t9191937149544095825\n",
-      "   2 False\t9191937149544095825\t>\t6920420250797062055\n",
-      "   3 False\t6920420250797062055\t>\t2107465798688643621\n",
-      "   4 False\t2107465798688643621\t>\t533585107267328217\n",
-      "   5 False\t533585107267328217\t>\t337670708625304145\n",
-      "   6 False\t337670708625304145\t>\t207596357904826273\n",
-      "   2 True\t207596357904826273\t<\t7594155472082946895\n",
-      "   3 True\t7594155472082946895\t<\t9060696107465660993\n",
-      "   4 True\t9060696107465660993\t<\t9131207622228110624\n",
-      "   5 True\t9131207622228110624\t<\t9167162646325706068\n",
-      "   6 True\t9167162646325706068\t<\t9209279106510462665\n",
-      "   7 True\t9209279106510462665\t<\t9215798191961102354\n",
-      "   2 False\t9215798191961102354\t>\t3690586112185918611\n",
-      "   3 False\t3690586112185918611\t>\t679927319766314606\n",
-      "   4 False\t679927319766314606\t>\t126330570445791516\n",
-      "   1 False\t126330570445791516\t=\t126330570445791516\n",
-      "   2 False\t126330570445791516\t>\t49212069004800064\n",
-      "   3 False\t49212069004800064\t>\t43255400553023948\n",
-      "   2 True\t43255400553023948\t<\t492182683846471050\n",
-      "   3 True\t492182683846471050\t<\t828197110836065319\n",
-      "   4 True\t828197110836065319\t<\t7178322739779815252\n",
-      "   5 True\t7178322739779815252\t<\t8893951495509388335\n",
-      "   1 True\t8893951495509388335\t=\t8893951495509388335\n",
-      "   2 True\t8893951495509388335\t<\t8929089202145246667\n",
-      "   2 False\t8929089202145246667\t>\t8927665126228728180\n",
-      "   2 True\t8927665126228728180\t<\t9097626585339900690\n",
-      "   3 True\t9097626585339900690\t<\t9101820031459680272\n",
-      "   4 True\t9101820031459680272\t<\t9156865830136945431\n",
-      "   5 True\t9156865830136945431\t<\t9161765996532362328\n",
-      "   6 True\t9161765996532362328\t<\t9203031353787808957\n",
-      "   2 False\t9203031353787808957\t>\t8285681156300426334\n",
-      "   2 True\t8285681156300426334\t<\t8747967157755596278\n",
-      "   3 True\t8747967157755596278\t<\t9146110137940478636\n",
-      "   4 True\t9146110137940478636\t<\t9203123772823642187\n",
-      "   5 True\t9203123772823642187\t<\t9220918231149910476\n",
-      "   6 True\t9220918231149910476\t<\t9223254894260854178\n",
-      "   2 False\t9223254894260854178\t>\t4882419157758344020\n",
-      "   3 False\t4882419157758344020\t>\t2332723602154003700\n",
-      "   4 False\t2332723602154003700\t>\t222340122902317274\n",
-      "   5 False\t222340122902317274\t>\t32376234757197586\n",
-      "   6 False\t32376234757197586\t>\t27502824868663307\n",
-      "   7 False\t27502824868663307\t>\t13428272760598020\n",
-      "   2 True\t13428272760598020\t<\t5144199907409249436\n",
-      "   2 False\t5144199907409249436\t>\t1773110495758825602\n",
-      "   3 False\t1773110495758825602\t>\t158610135699341920\n",
-      "   4 False\t158610135699341920\t>\t55694456609081777\n",
-      "   5 False\t55694456609081777\t>\t1968317114214182\n",
-      "   2 True\t1968317114214182\t<\t4774039404524175742\n",
-      "   3 True\t4774039404524175742\t<\t7088829785749818274\n",
-      "   2 False\t7088829785749818274\t>\t2582872033629330756\n",
-      "   3 False\t2582872033629330756\t>\t500402707154130891\n",
-      "   4 False\t500402707154130891\t>\t264647054020772007\n",
-      "   5 False\t264647054020772007\t>\t128879336824183172\n",
-      "   6 False\t128879336824183172\t>\t52439697756874759\n",
-      "   7 False\t52439697756874759\t>\t13670649581354528\n",
-      "   8 False\t13670649581354528\t>\t3519147279194590\n",
-      "   2 True\t3519147279194590\t<\t946453543826288848\n",
-      "   2 False\t946453543826288848\t>\t800083076218581662\n",
-      "   1 False\t800083076218581662\t=\t800083076218581662\n",
-      "   2 True\t800083076218581662\t<\t4376581129075870535\n",
-      "   3 True\t4376581129075870535\t<\t7874140710379700869\n",
-      "   4 True\t7874140710379700869\t<\t9065180011645409759\n",
-      "   5 True\t9065180011645409759\t<\t9081717943581193895\n",
-      "   2 False\t9081717943581193895\t>\t2366550847217766667\n",
-      "   3 False\t2366550847217766667\t>\t827237369236921912\n",
-      "   2 True\t827237369236921912\t<\t7037496062863400340\n",
-      "   3 True\t7037496062863400340\t<\t7689000808703153905\n",
-      "   4 True\t7689000808703153905\t<\t8659783699878591112\n",
-      "   5 True\t8659783699878591112\t<\t9121153164214364520\n",
-      "   6 True\t9121153164214364520\t<\t9141947818692891556\n",
-      "   7 True\t9141947818692891556\t<\t9212052393553090015\n",
-      "   8 True\t9212052393553090015\t<\t9221266888556087270\n",
-      "   2 False\t9221266888556087270\t>\t264014059453877163\n",
-      "   3 False\t264014059453877163\t>\t153268551593827950\n",
-      "   4 False\t153268551593827950\t>\t146447990967677855\n",
-      "   2 True\t146447990967677855\t<\t7847882718299164999\n",
-      "   3 True\t7847882718299164999\t<\t8273943756227680488\n",
-      "   4 True\t8273943756227680488\t<\t8906876534915236000\n",
-      "   5 True\t8906876534915236000\t<\t8944748567574934453\n",
-      "   6 True\t8944748567574934453\t<\t9135862186158265729\n",
-      "   1 True\t9135862186158265729\t=\t9135862186158265729\n",
-      "   2 False\t9135862186158265729\t>\t1317233763750416139\n",
-      "   2 True\t1317233763750416139\t<\t7175452798499545061\n",
-      "   3 True\t7175452798499545061\t<\t9159616232073725201\n",
-      "   4 True\t9159616232073725201\t<\t9182156631165180449\n",
-      "   5 True\t9182156631165180449\t<\t9222663528626481694\n",
-      "   2 False\t9222663528626481694\t>\t3466845395259940351\n",
-      "   2 True\t3466845395259940351\t<\t8454906393524482310\n",
-      "   2 False\t8454906393524482310\t>\t3463730930815564309\n",
-      "   3 False\t3463730930815564309\t>\t521513549813095659\n",
-      "   2 True\t521513549813095659\t<\t8887623897023383925\n",
-      "   3 True\t8887623897023383925\t<\t8974950946461538860\n",
-      "   4 True\t8974950946461538860\t<\t9075974104706672564\n",
-      "   5 True\t9075974104706672564\t<\t9182878487397178370\n",
-      "   6 True\t9182878487397178370\t<\t9207709973935449556\n",
-      "   7 True\t9207709973935449556\t<\t9217314200892293912\n",
-      "   8 True\t9217314200892293912\t<\t9223311790330534916\n",
-      "   9 True\t9223311790330534916\t<\t9223359528735700759\n",
-      "  10 True\t9223359528735700759\t<\t9223371495506785537\n",
-      "  11 True\t9223371495506785537\t<\t9223371636000271848\n",
-      "  12 True\t9223371636000271848\t<\t9223371717846012031\n",
-      "  13 True\t9223371717846012031\t<\t9223371799854127797\n",
-      "  14 True\t9223371799854127797\t<\t9223371825443323254\n",
-      "  15 True\t9223371825443323254\t<\t9223372010052631153\n",
-      "   2 False\t9223372010052631153\t>\t3733118142512204450\n",
-      "   3 False\t3733118142512204450\t>\t184139321284552971\n",
-      "   2 True\t184139321284552971\t<\t4366777567925034213\n",
-      "   2 False\t4366777567925034213\t>\t2582490071903457357\n",
-      "   3 False\t2582490071903457357\t>\t1482474953734984363\n",
-      "   2 True\t1482474953734984363\t<\t4851579610077765393\n",
-      "   2 False\t4851579610077765393\t>\t1510831373759812811\n",
-      "   3 False\t1510831373759812811\t>\t514453005629402630\n",
-      "   4 False\t514453005629402630\t>\t342426105059985603\n",
-      "   5 False\t342426105059985603\t>\t91697581294171037\n",
-      "   6 False\t91697581294171037\t>\t86977583524656815\n",
-      "   2 True\t86977583524656815\t<\t2651754899347102711\n",
-      "   2 False\t2651754899347102711\t>\t2128645487465711845\n",
-      "   3 False\t2128645487465711845\t>\t311356869980451432\n",
-      "   4 False\t311356869980451432\t>\t147618290588425201\n",
-      "   5 False\t147618290588425201\t>\t121686087275940505\n",
-      "   1 False\t121686087275940505\t=\t121686087275940505\n",
-      "   2 True\t121686087275940505\t<\t1522090959036101074\n",
-      "   3 True\t1522090959036101074\t<\t7341104077391630726\n",
-      "   2 False\t7341104077391630726\t>\t3336857947954459158\n",
-      "   3 False\t3336857947954459158\t>\t349423887720092067\n",
-      "   4 False\t349423887720092067\t>\t207671117736100162\n",
-      "   2 True\t207671117736100162\t<\t2810941918783565606\n",
-      "   3 True\t2810941918783565606\t<\t3924218804372052904\n",
-      "   2 False\t3924218804372052904\t>\t580296350660554120\n",
-      "   3 False\t580296350660554120\t>\t182451138466791772\n",
-      "   4 False\t182451138466791772\t>\t77286351887068582\n",
-      "   5 False\t77286351887068582\t>\t71177367352496947\n",
-      "   6 False\t71177367352496947\t>\t35381239658797130\n",
-      "   7 False\t35381239658797130\t>\t15352620551013111\n",
-      "   2 True\t15352620551013111\t<\t3942953384794728129\n",
-      "   2 False\t3942953384794728129\t>\t3614538025739610531\n",
-      "   3 False\t3614538025739610531\t>\t1243626046105097308\n",
-      "   2 True\t1243626046105097308\t<\t4952057149654755538\n",
-      "   3 True\t4952057149654755538\t<\t9019210741848628049\n",
-      "   4 True\t9019210741848628049\t<\t9184940177036396686\n",
-      "   5 True\t9184940177036396686\t<\t9203879318567799520\n",
-      "   2 False\t9203879318567799520\t>\t5557807394504888136\n",
-      "   2 True\t5557807394504888136\t<\t5618734345464861413\n",
-      "   3 True\t5618734345464861413\t<\t6231217896383474208\n",
-      "   2 False\t6231217896383474208\t>\t503554631017238618\n",
-      "   3 False\t503554631017238618\t>\t8792057828524835\n",
-      "   4 False\t8792057828524835\t>\t5715325766705770\n",
-      "   5 False\t5715325766705770\t>\t904103264766283\n",
-      "   6 False\t904103264766283\t>\t179012593799827\n",
-      "   7 False\t179012593799827\t>\t1433135561776\n",
-      "   8 False\t1433135561776\t>\t443177016030\n",
-      "   9 False\t443177016030\t>\t151174987294\n",
-      "  10 False\t151174987294\t>\t36481468339\n",
-      "   1 False\t36481468339\t=\t36481468339\n",
-      "   2 True\t36481468339\t<\t5983256611483779893\n",
-      "   3 True\t5983256611483779893\t<\t8963687128918185025\n",
-      "   4 True\t8963687128918185025\t<\t9124262405228272500\n",
-      "   5 True\t9124262405228272500\t<\t9156809656869825796\n",
-      "   6 True\t9156809656869825796\t<\t9201640070094724176\n",
-      "   7 True\t9201640070094724176\t<\t9215890861695684198\n",
-      "   8 True\t9215890861695684198\t<\t9216319979183645336\n",
-      "   9 True\t9216319979183645336\t<\t9220750241760707468\n",
-      "   2 False\t9220750241760707468\t>\t5723243234321109528\n",
-      "   3 False\t5723243234321109528\t>\t2033823607353214673\n",
-      "   4 False\t2033823607353214673\t>\t831601228346563969\n",
-      "   5 False\t831601228346563969\t>\t760381734020443841\n",
-      "   6 False\t760381734020443841\t>\t498963018639895617\n",
-      "   7 False\t498963018639895617\t>\t392121970645327223\n",
-      "   2 True\t392121970645327223\t<\t4458064927961928154\n",
-      "   3 True\t4458064927961928154\t<\t8179902483419920952\n",
-      "   2 False\t8179902483419920952\t>\t2533344357730306148\n",
-      "   3 False\t2533344357730306148\t>\t899167053219577620\n",
-      "   4 False\t899167053219577620\t>\t700094931667751435\n",
-      "   5 False\t700094931667751435\t>\t488462161288298940\n",
-      "   6 False\t488462161288298940\t>\t483910628973305416\n",
-      "   7 False\t483910628973305416\t>\t133211971073806015\n",
-      "   2 True\t133211971073806015\t<\t7375658964710342820\n",
-      "   3 True\t7375658964710342820\t<\t7811122739250153764\n",
-      "   4 True\t7811122739250153764\t<\t7822547796068464081\n",
-      "   5 True\t7822547796068464081\t<\t9207556917297546289\n",
-      "   2 False\t9207556917297546289\t>\t1983016499088165756\n",
-      "   3 False\t1983016499088165756\t>\t277785576830112152\n",
-      "   2 True\t277785576830112152\t<\t2544832022911173571\n",
-      "   3 True\t2544832022911173571\t<\t5932875622791672774\n",
-      "   2 False\t5932875622791672774\t>\t5463278851887297242\n",
-      "   3 False\t5463278851887297242\t>\t3108189589666189744\n",
-      "   2 True\t3108189589666189744\t<\t5917161328949492850\n",
-      "   3 True\t5917161328949492850\t<\t6054892442430197475\n",
-      "   2 False\t6054892442430197475\t>\t5030747260839751990\n",
-      "   3 False\t5030747260839751990\t>\t1671564687583557481\n",
-      "   4 False\t1671564687583557481\t>\t155120296913795953\n",
-      "   5 False\t155120296913795953\t>\t26776503297595038\n",
-      "   6 False\t26776503297595038\t>\t8417228508140666\n",
-      "   7 False\t8417228508140666\t>\t2687678383852185\n",
-      "   2 True\t2687678383852185\t<\t254093907910102714\n",
-      "   2 False\t254093907910102714\t>\t81057478841731553\n",
-      "   2 True\t81057478841731553\t<\t4388750817652540878\n",
-      "   3 True\t4388750817652540878\t<\t4617665943064178011\n",
-      "   4 True\t4617665943064178011\t<\t6192324001218058131\n",
-      "   2 False\t6192324001218058131\t>\t6172913551993702030\n",
-      "   3 False\t6172913551993702030\t>\t1216808559090050346\n",
-      "   4 False\t1216808559090050346\t>\t95715063737571388\n",
-      "   5 False\t95715063737571388\t>\t11207526582346412\n",
-      "   6 False\t11207526582346412\t>\t5987400827615253\n",
-      "   2 True\t5987400827615253\t<\t5961110049660612240\n",
-      "   3 True\t5961110049660612240\t<\t6826658121644216721\n",
-      "   4 True\t6826658121644216721\t<\t7127577819383803768\n",
-      "   5 True\t7127577819383803768\t<\t7203176433018747987\n",
-      "   6 True\t7203176433018747987\t<\t7641022680835032893\n",
-      "   7 True\t7641022680835032893\t<\t8624042738871818601\n",
-      "   8 True\t8624042738871818601\t<\t9011603362047600002\n",
-      "   2 False\t9011603362047600002\t>\t3337811351080282175\n",
-      "   3 False\t3337811351080282175\t>\t1920847159564716437\n",
-      "   4 False\t1920847159564716437\t>\t1258263971452635979\n",
-      "   2 True\t1258263971452635979\t<\t6660687617359355467\n",
-      "   2 False\t6660687617359355467\t>\t3480155312664093195\n",
-      "   2 True\t3480155312664093195\t<\t4800122924766509267\n",
-      "   2 False\t4800122924766509267\t>\t1011099319866069148\n",
-      "   3 False\t1011099319866069148\t>\t63393856316407525\n",
-      "   2 True\t63393856316407525\t<\t4818627571700232207\n",
-      "   2 False\t4818627571700232207\t>\t4661355938382521797\n",
-      "   3 False\t4661355938382521797\t>\t58800608905180213\n",
-      "   2 True\t58800608905180213\t<\t3595726095651335406\n",
-      "   3 True\t3595726095651335406\t<\t6293249115560649974\n",
-      "   4 True\t6293249115560649974\t<\t7757302667925124619\n",
-      "   2 False\t7757302667925124619\t>\t2239988448789093692\n",
-      "   2 True\t2239988448789093692\t<\t4261158037401227437\n",
-      "   3 True\t4261158037401227437\t<\t7299826974381932235\n",
-      "   4 True\t7299826974381932235\t<\t8033714095141003346\n",
-      "   5 True\t8033714095141003346\t<\t8161549456945201756\n",
-      "   2 False\t8161549456945201756\t>\t2348123845249414843\n",
-      "   2 True\t2348123845249414843\t<\t5096922455758444926\n",
-      "   2 False\t5096922455758444926\t>\t4753702015508174101\n",
-      "   3 False\t4753702015508174101\t>\t3346770189044572972\n",
-      "   2 True\t3346770189044572972\t<\t6973453971604884057\n",
-      "   3 True\t6973453971604884057\t<\t8816158878426184553\n",
-      "   4 True\t8816158878426184553\t<\t9071501896109804884\n",
-      "   2 False\t9071501896109804884\t>\t6720105547381684797\n",
-      "   2 True\t6720105547381684797\t<\t9016917555534309259\n",
-      "   3 True\t9016917555534309259\t<\t9136207445057246101\n",
-      "   4 True\t9136207445057246101\t<\t9147120819040592873\n",
-      "   5 True\t9147120819040592873\t<\t9173970667479569231\n",
-      "   6 True\t9173970667479569231\t<\t9221297996462119955\n",
-      "   2 False\t9221297996462119955\t>\t8292817873613005310\n",
-      "   2 True\t8292817873613005310\t<\t9126746309990755450\n",
-      "   2 False\t9126746309990755450\t>\t2679126537844216695\n",
-      "   3 False\t2679126537844216695\t>\t2143126695527052252\n",
-      "   4 False\t2143126695527052252\t>\t1629921010814109228\n",
-      "   5 False\t1629921010814109228\t>\t174738824470033270\n",
-      "   2 True\t174738824470033270\t<\t6275484246145571876\n",
-      "   3 True\t6275484246145571876\t<\t7087403113694929986\n",
-      "   4 True\t7087403113694929986\t<\t9162736041244705851\n",
-      "   5 True\t9162736041244705851\t<\t9190862288467704059\n",
-      "   6 True\t9190862288467704059\t<\t9191988022907204824\n",
-      "   7 True\t9191988022907204824\t<\t9196117732212862097\n",
-      "   8 True\t9196117732212862097\t<\t9207265794284590099\n",
-      "   9 True\t9207265794284590099\t<\t9212827328575674411\n",
-      "  10 True\t9212827328575674411\t<\t9220409287159240751\n",
-      "   2 False\t9220409287159240751\t>\t5614309369810613169\n",
-      "   3 False\t5614309369810613169\t>\t3812438588793805908\n",
-      "   4 False\t3812438588793805908\t>\t568983125931630790\n",
-      "   5 False\t568983125931630790\t>\t516036484715752282\n",
-      "   2 True\t516036484715752282\t<\t1174450005343790624\n",
-      "   3 True\t1174450005343790624\t<\t6438502651086320044\n",
-      "   4 True\t6438502651086320044\t<\t7905668669020854623\n",
-      "   5 True\t7905668669020854623\t<\t8968249247940719852\n",
-      "   6 True\t8968249247940719852\t<\t9118745221062402797\n",
-      "   2 False\t9118745221062402797\t>\t7249915867543913236\n",
-      "   3 False\t7249915867543913236\t>\t2376997771185662342\n",
-      "   4 False\t2376997771185662342\t>\t1645137781562634110\n",
-      "   1 False\t1645137781562634110\t=\t1645137781562634110\n",
-      "   2 True\t1645137781562634110\t<\t3882208603692073268\n",
-      "   2 False\t3882208603692073268\t>\t154695888211106296\n",
-      "   3 False\t154695888211106296\t>\t134051014741176722\n",
-      "   4 False\t134051014741176722\t>\t106384104197932975\n",
-      "   5 False\t106384104197932975\t>\t28209617749705355\n",
-      "   2 True\t28209617749705355\t<\t8845486040859245883\n",
-      "   2 False\t8845486040859245883\t>\t5431558436204089890\n",
-      "   2 True\t5431558436204089890\t<\t8424797499681303575\n",
-      "   1 True\t8424797499681303575\t=\t8424797499681303575\n",
-      "   2 False\t8424797499681303575\t>\t4761731456367102421\n",
-      "   2 True\t4761731456367102421\t<\t6764583996709021047\n",
-      "   3 True\t6764583996709021047\t<\t6952829104327015019\n",
-      "   4 True\t6952829104327015019\t<\t8933082833644107806\n",
-      "   5 True\t8933082833644107806\t<\t9044942726206924616\n",
-      "   2 False\t9044942726206924616\t>\t3224588302490004240\n",
-      "   3 False\t3224588302490004240\t>\t982765240265063648\n",
-      "   4 False\t982765240265063648\t>\t923638656410615189\n",
-      "   5 False\t923638656410615189\t>\t464655666888198605\n",
-      "   6 False\t464655666888198605\t>\t437460033064325239\n",
-      "   7 False\t437460033064325239\t>\t307013378625695864\n",
-      "   8 False\t307013378625695864\t>\t54027193973980297\n",
-      "   9 False\t54027193973980297\t>\t29669971899359454\n",
-      "  10 False\t29669971899359454\t>\t21088026116335071\n",
-      "   2 True\t21088026116335071\t<\t7275812318928935249\n",
-      "   2 False\t7275812318928935249\t>\t1499153855390827682\n",
-      "   1 False\t1499153855390827682\t=\t1499153855390827682\n",
-      "   2 True\t1499153855390827682\t<\t4190791625547502695\n",
-      "   3 True\t4190791625547502695\t<\t7338395433366256693\n",
-      "   4 True\t7338395433366256693\t<\t8506630195825153905\n",
-      "   5 True\t8506630195825153905\t<\t9059194635175622772\n",
-      "   6 True\t9059194635175622772\t<\t9073031344436890433\n",
-      "   7 True\t9073031344436890433\t<\t9092986808528731289\n",
-      "   8 True\t9092986808528731289\t<\t9119676338312698615\n",
-      "   9 True\t9119676338312698615\t<\t9149129613269941717\n",
-      "  10 True\t9149129613269941717\t<\t9199212402478933559\n",
-      "  11 True\t9199212402478933559\t<\t9218849118237815556\n",
-      "   2 False\t9218849118237815556\t>\t2311176113228664728\n",
-      "   2 True\t2311176113228664728\t<\t2409418659336910351\n",
-      "   2 False\t2409418659336910351\t>\t1686988036884739720\n",
-      "   2 True\t1686988036884739720\t<\t7682271066195062593\n",
-      "   3 True\t7682271066195062593\t<\t7906356567029454688\n",
-      "   4 True\t7906356567029454688\t<\t8110634423559256249\n",
-      "   5 True\t8110634423559256249\t<\t9190316966106945237\n",
-      "   6 True\t9190316966106945237\t<\t9215943290091182787\n",
-      "   7 True\t9215943290091182787\t<\t9216337952546394344\n",
-      "   8 True\t9216337952546394344\t<\t9219707275590160085\n",
-      "   9 True\t9219707275590160085\t<\t9222345849464663638\n",
-      "   2 False\t9222345849464663638\t>\t6146983133477975133\n",
-      "   3 False\t6146983133477975133\t>\t4991976616299844708\n",
-      "   4 False\t4991976616299844708\t>\t4456238748033403531\n",
-      "   5 False\t4456238748033403531\t>\t1997749434472000887\n",
-      "   6 False\t1997749434472000887\t>\t777696585126208542\n",
-      "   7 False\t777696585126208542\t>\t270525350032175740\n",
-      "   8 False\t270525350032175740\t>\t131439293865690431\n",
-      "   9 False\t131439293865690431\t>\t103035539105971508\n",
-      "  10 False\t103035539105971508\t>\t51896825587613969\n",
-      "  11 False\t51896825587613969\t>\t18393749958835440\n",
-      "  12 False\t18393749958835440\t>\t7566149810005323\n",
-      "   2 True\t7566149810005323\t<\t5488405528328686620\n",
-      "   3 True\t5488405528328686620\t<\t6407580456555640003\n",
-      "   2 False\t6407580456555640003\t>\t5927408043299757114\n",
-      "   3 False\t5927408043299757114\t>\t2307859958678770254\n",
-      "   4 False\t2307859958678770254\t>\t128548670559502067\n",
-      "   5 False\t128548670559502067\t>\t43190892331185689\n",
-      "   6 False\t43190892331185689\t>\t24340119361966692\n",
-      "   2 True\t24340119361966692\t<\t5692063577618185808\n",
-      "   1 True\t5692063577618185808\t=\t5692063577618185808\n",
-      "   2 True\t5692063577618185808\t<\t6931612645007764663\n",
-      "   3 True\t6931612645007764663\t<\t7011204058154932401\n",
-      "   4 True\t7011204058154932401\t<\t8844997428910800363\n",
-      "   5 True\t8844997428910800363\t<\t9181263637242959050\n",
-      "   6 True\t9181263637242959050\t<\t9186741322112830811\n",
-      "   7 True\t9186741322112830811\t<\t9201411213957586375\n",
-      "   2 False\t9201411213957586375\t>\t8232714690330231270\n",
-      "   2 True\t8232714690330231270\t<\t8266319242843785019\n",
-      "   3 True\t8266319242843785019\t<\t8729113285923600741\n",
-      "   4 True\t8729113285923600741\t<\t8855160956602276766\n",
-      "   2 False\t8855160956602276766\t>\t4432266962976686799\n",
-      "   3 False\t4432266962976686799\t>\t2470521386429690998\n",
-      "   4 False\t2470521386429690998\t>\t1789996113707404625\n",
-      "   5 False\t1789996113707404625\t>\t533114334821505113\n",
-      "   6 False\t533114334821505113\t>\t84594162568393589\n",
-      "   2 True\t84594162568393589\t<\t7183097539051245991\n",
-      "   3 True\t7183097539051245991\t<\t7829792920222816723\n",
-      "   4 True\t7829792920222816723\t<\t8261464928648582268\n",
-      "   2 False\t8261464928648582268\t>\t7157432379284115324\n",
-      "   3 False\t7157432379284115324\t>\t6985912303060184288\n",
-      "   2 True\t6985912303060184288\t<\t7680016010798413466\n",
-      "   3 True\t7680016010798413466\t<\t8288495339393398731\n",
-      "   2 False\t8288495339393398731\t>\t7782148335504034246\n",
-      "   3 False\t7782148335504034246\t>\t4956870556579867717\n",
-      "   2 True\t4956870556579867717\t<\t5698751266587136727\n",
-      "   2 False\t5698751266587136727\t>\t59952165588682897\n",
-      "   3 False\t59952165588682897\t>\t20605589060922114\n",
-      "   1 False\t20605589060922114\t=\t20605589060922114\n",
-      "   2 True\t20605589060922114\t<\t4750738650918287319\n",
-      "   3 True\t4750738650918287319\t<\t5638278236001868057\n",
-      "   2 False\t5638278236001868057\t>\t3107937786299114359\n",
-      "   3 False\t3107937786299114359\t>\t25766132855242500\n",
-      "   2 True\t25766132855242500\t<\t7670994629583454959\n",
-      "   1 True\t7670994629583454959\t=\t7670994629583454959\n",
-      "   2 False\t7670994629583454959\t>\t1499413665177575087\n",
-      "   3 False\t1499413665177575087\t>\t1034212408463574104\n",
-      "   4 False\t1034212408463574104\t>\t926418838782628099\n",
-      "   5 False\t926418838782628099\t>\t833156539181847750\n",
-      "   6 False\t833156539181847750\t>\t446710575942573236\n",
-      "   2 True\t446710575942573236\t<\t5679438298229005370\n",
-      "   3 True\t5679438298229005370\t<\t6204860791115188198\n",
-      "   4 True\t6204860791115188198\t<\t7956180791892148284\n",
-      "   5 True\t7956180791892148284\t<\t9025593029331149277\n",
-      "   6 True\t9025593029331149277\t<\t9144574284994049891\n",
-      "   7 True\t9144574284994049891\t<\t9151251721084030172\n",
-      "   8 True\t9151251721084030172\t<\t9160591572074440486\n",
-      "   2 False\t9160591572074440486\t>\t6146616477670391766\n",
-      "   3 False\t6146616477670391766\t>\t4262211215823407198\n",
-      "   4 False\t4262211215823407198\t>\t2746179579016033658\n",
-      "   5 False\t2746179579016033658\t>\t398849600381848109\n",
-      "   2 True\t398849600381848109\t<\t595920198350136109\n",
-      "   3 True\t595920198350136109\t<\t4003406919080516867\n",
-      "   4 True\t4003406919080516867\t<\t8932573323846012888\n",
-      "   5 True\t8932573323846012888\t<\t9212909319068582542\n",
-      "   6 True\t9212909319068582542\t<\t9214499816215858398\n",
-      "   7 True\t9214499816215858398\t<\t9221195942791109458\n",
-      "   8 True\t9221195942791109458\t<\t9221559282766833175\n",
-      "   9 True\t9221559282766833175\t<\t9222952094420145008\n",
-      "  10 True\t9222952094420145008\t<\t9223354702904979379\n",
-      "   2 False\t9223354702904979379\t>\t402105732234962712\n",
-      "   3 False\t402105732234962712\t>\t258158504666614437\n",
-      "   1 False\t258158504666614437\t=\t258158504666614437\n",
-      "   2 False\t258158504666614437\t>\t21475457793468480\n",
-      "   3 False\t21475457793468480\t>\t2079238612396294\n",
-      "   4 False\t2079238612396294\t>\t533753864158182\n",
-      "   5 False\t533753864158182\t>\t330057757694407\n",
-      "   2 True\t330057757694407\t<\t694970996975424559\n",
-      "   3 True\t694970996975424559\t<\t1422441457621928797\n",
-      "   4 True\t1422441457621928797\t<\t8699757068327892746\n",
-      "   5 True\t8699757068327892746\t<\t9136037197847210653\n",
-      "   6 True\t9136037197847210653\t<\t9172343131257362476\n",
-      "   7 True\t9172343131257362476\t<\t9206096938574698152\n",
-      "   8 True\t9206096938574698152\t<\t9216256499727118807\n",
-      "   9 True\t9216256499727118807\t<\t9221472284315783479\n",
-      "  10 True\t9221472284315783479\t<\t9223371988753743936\n",
-      "   2 False\t9223371988753743936\t>\t6131177206481786364\n",
-      "   3 False\t6131177206481786364\t>\t3374376437846863592\n",
-      "   4 False\t3374376437846863592\t>\t693846651029872238\n",
-      "   5 False\t693846651029872238\t>\t634553390653717169\n",
-      "   6 False\t634553390653717169\t>\t479594312980356922\n",
-      "   7 False\t479594312980356922\t>\t65752209131876792\n",
-      "   2 True\t65752209131876792\t<\t8978356891551402339\n",
-      "   3 True\t8978356891551402339\t<\t9208283775188269725\n",
-      "   4 True\t9208283775188269725\t<\t9220958473912401178\n",
-      "   5 True\t9220958473912401178\t<\t9221935874175586407\n",
-      "   1 True\t9221935874175586407\t=\t9221935874175586407\n",
-      "   2 True\t9221935874175586407\t<\t9222859440175411273\n",
-      "   3 True\t9222859440175411273\t<\t9223341710334688476\n",
-      "   2 False\t9223341710334688476\t>\t7279565361120328980\n",
-      "   3 False\t7279565361120328980\t>\t4432568661196187850\n",
-      "   2 True\t4432568661196187850\t<\t9206505300564224428\n",
-      "   3 True\t9206505300564224428\t<\t9222995846863093079\n",
-      "   4 True\t9222995846863093079\t<\t9223243546564035850\n",
-      "   5 True\t9223243546564035850\t<\t9223243902946205959\n",
-      "   1 True\t9223243902946205959\t=\t9223243902946205959\n",
-      "   2 False\t9223243902946205959\t>\t1729016861055944746\n",
-      "   2 True\t1729016861055944746\t<\t6504400152544710389\n",
-      "   3 True\t6504400152544710389\t<\t8061163303057015077\n",
-      "   2 False\t8061163303057015077\t>\t4759230185203320098\n",
-      "   3 False\t4759230185203320098\t>\t991853903744555046\n",
-      "   1 False\t991853903744555046\t=\t991853903744555046\n",
-      "   2 False\t991853903744555046\t>\t125060655845266410\n",
-      "   3 False\t125060655845266410\t>\t8163098669482469\n",
-      "   4 False\t8163098669482469\t>\t3694902179730159\n",
-      "   5 False\t3694902179730159\t>\t1004444152097998\n",
-      "   6 False\t1004444152097998\t>\t436158181801449\n",
-      "   7 False\t436158181801449\t>\t333203162158655\n",
-      "   8 False\t333203162158655\t>\t270962434540203\n",
-      "   9 False\t270962434540203\t>\t179924472169769\n",
-      "  10 False\t179924472169769\t>\t106739754746373\n",
-      "  11 False\t106739754746373\t>\t10201135621531\n",
-      "  12 False\t10201135621531\t>\t9892441551522\n",
-      "  13 False\t9892441551522\t>\t5908013663478\n",
-      "  14 False\t5908013663478\t>\t4144351985789\n",
-      "  15 False\t4144351985789\t>\t1985848718905\n",
-      "   2 True\t1985848718905\t<\t7782799781751801747\n",
-      "   3 True\t7782799781751801747\t<\t8655565068313432675\n",
-      "   4 True\t8655565068313432675\t<\t8869165108225232255\n",
-      "   5 True\t8869165108225232255\t<\t9027569065491811234\n",
-      "   2 False\t9027569065491811234\t>\t6721589676631560857\n",
-      "   2 True\t6721589676631560857\t<\t7585074885219950426\n",
-      "   2 False\t7585074885219950426\t>\t833040101685588261\n",
-      "   2 True\t833040101685588261\t<\t1074717315326495180\n",
-      "   3 True\t1074717315326495180\t<\t6278682603944815240\n",
-      "   4 True\t6278682603944815240\t<\t8208162692129540162\n",
-      "   2 False\t8208162692129540162\t>\t3469232039272985716\n",
-      "   3 False\t3469232039272985716\t>\t317823158198936215\n",
-      "   4 False\t317823158198936215\t>\t163922623198080220\n",
-      "   5 False\t163922623198080220\t>\t114972980078638508\n",
-      "   1 False\t114972980078638508\t=\t114972980078638508\n",
-      "   2 False\t114972980078638508\t>\t49764465951721215\n",
-      "   3 False\t49764465951721215\t>\t22116174006025815\n",
-      "   2 True\t22116174006025815\t<\t6446400043194710739\n",
-      "   1 True\t6446400043194710739\t=\t6446400043194710739\n",
-      "   2 True\t6446400043194710739\t<\t7626982980719467476\n",
-      "   3 True\t7626982980719467476\t<\t8165229932880584806\n",
-      "   4 True\t8165229932880584806\t<\t8440498654400923052\n",
-      "   5 True\t8440498654400923052\t<\t9006730539737126828\n",
-      "   6 True\t9006730539737126828\t<\t9165447160691375842\n",
-      "   2 False\t9165447160691375842\t>\t433704235699771389\n",
-      "   3 False\t433704235699771389\t>\t433414339048140677\n",
-      "   2 True\t433414339048140677\t<\t7611943186266961527\n",
-      "   3 True\t7611943186266961527\t<\t8741224624949383582\n",
-      "   4 True\t8741224624949383582\t<\t9103449484933733502\n",
-      "   5 True\t9103449484933733502\t<\t9108764039048802070\n",
-      "   6 True\t9108764039048802070\t<\t9221185111493479004\n",
-      "   2 False\t9221185111493479004\t>\t9118296866071699756\n",
-      "   1 False\t9118296866071699756\t=\t9118296866071699756\n",
-      "   2 False\t9118296866071699756\t>\t1833181261457201212\n",
-      "   3 False\t1833181261457201212\t>\t1097914446597499490\n",
-      "   4 False\t1097914446597499490\t>\t352282545700883533\n",
-      "   2 True\t352282545700883533\t<\t1979561170313105457\n",
-      "   3 True\t1979561170313105457\t<\t8151592384864162061\n",
-      "   2 False\t8151592384864162061\t>\t3160696367063158963\n",
-      "   3 False\t3160696367063158963\t>\t98286191785636823\n",
-      "   2 True\t98286191785636823\t<\t8427131881054847433\n",
-      "   3 True\t8427131881054847433\t<\t9206157814509726817\n",
-      "   4 True\t9206157814509726817\t<\t9209401822255811054\n",
-      "   2 False\t9209401822255811054\t>\t1760571992642399798\n",
-      "   3 False\t1760571992642399798\t>\t379005360321296451\n",
-      "   2 True\t379005360321296451\t<\t8195374115134665724\n",
-      "   3 True\t8195374115134665724\t<\t8487900311316761900\n",
-      "   2 False\t8487900311316761900\t>\t3206330638396557102\n",
-      "   3 False\t3206330638396557102\t>\t994513898175833052\n",
-      "   4 False\t994513898175833052\t>\t482483539718116909\n",
-      "   2 True\t482483539718116909\t<\t1013188310447802538\n",
-      "   3 True\t1013188310447802538\t<\t8359366099178797741\n",
-      "   2 False\t8359366099178797741\t>\t578895663202091402\n",
-      "   3 False\t578895663202091402\t>\t514207040358388484\n",
-      "   4 False\t514207040358388484\t>\t281671924857722770\n",
-      "   2 True\t281671924857722770\t<\t4638502016594695288\n",
-      "   3 True\t4638502016594695288\t<\t6231668834467112640\n",
-      "   4 True\t6231668834467112640\t<\t7488241348784288426\n",
-      "   1 True\t7488241348784288426\t=\t7488241348784288426\n",
-      "   2 False\t7488241348784288426\t>\t462519644559223334\n",
-      "   3 False\t462519644559223334\t>\t134444638410847052\n",
-      "   4 False\t134444638410847052\t>\t108433959920411115\n",
-      "   5 False\t108433959920411115\t>\t63463038445019155\n",
-      "   6 False\t63463038445019155\t>\t8314686812877320\n",
-      "   2 True\t8314686812877320\t<\t9184472603958998787\n",
-      "   2 False\t9184472603958998787\t>\t7765180260971944939\n",
-      "   3 False\t7765180260971944939\t>\t1145483655786718362\n",
-      "   4 False\t1145483655786718362\t>\t1038753573309196608\n",
-      "   5 False\t1038753573309196608\t>\t695177983341908209\n",
-      "   2 True\t695177983341908209\t<\t4632904168973909770\n",
-      "   2 False\t4632904168973909770\t>\t2080947548155919826\n",
-      "   2 True\t2080947548155919826\t<\t3054005994550068332\n",
-      "   3 True\t3054005994550068332\t<\t4319255183808330197\n",
-      "   4 True\t4319255183808330197\t<\t4849250291000455280\n",
-      "   5 True\t4849250291000455280\t<\t9101580213903945064\n",
-      "   6 True\t9101580213903945064\t<\t9124819985239787040\n",
-      "   7 True\t9124819985239787040\t<\t9166343133918971399\n",
-      "   8 True\t9166343133918971399\t<\t9201557333774374289\n",
-      "   9 True\t9201557333774374289\t<\t9217226568218707119\n",
-      "  10 True\t9217226568218707119\t<\t9223190541682419571\n",
-      "  11 True\t9223190541682419571\t<\t9223282414970325925\n",
-      "  12 True\t9223282414970325925\t<\t9223330404563494913\n",
-      "   2 False\t9223330404563494913\t>\t6804781257449218059\n",
-      "   2 True\t6804781257449218059\t<\t7706675499364063502\n",
-      "   3 True\t7706675499364063502\t<\t8538113042324041277\n",
-      "   4 True\t8538113042324041277\t<\t8596774384180008521\n",
-      "   5 True\t8596774384180008521\t<\t8732030972750511080\n",
-      "   6 True\t8732030972750511080\t<\t8949456477009509416\n",
-      "   2 False\t8949456477009509416\t>\t8299293229499199542\n",
-      "   3 False\t8299293229499199542\t>\t6547491764691851350\n",
-      "   4 False\t6547491764691851350\t>\t5627113786609725815\n",
-      "   2 True\t5627113786609725815\t<\t8232135830124960162\n",
-      "   3 True\t8232135830124960162\t<\t9107051332357065125\n",
-      "   4 True\t9107051332357065125\t<\t9195036188294614900\n",
-      "   2 False\t9195036188294614900\t>\t8260256656121129762\n",
-      "   3 False\t8260256656121129762\t>\t7620664664648975744\n",
-      "   4 False\t7620664664648975744\t>\t5838231983946530433\n",
-      "   5 False\t5838231983946530433\t>\t3021342420306934826\n",
-      "   6 False\t3021342420306934826\t>\t1499006111428653775\n",
-      "   2 True\t1499006111428653775\t<\t2600579709443275644\n",
-      "   2 False\t2600579709443275644\t>\t951566750287102768\n",
-      "   2 True\t951566750287102768\t<\t4795501945934142220\n",
-      "   2 False\t4795501945934142220\t>\t569936290301221735\n",
-      "   3 False\t569936290301221735\t>\t407737529405041844\n",
-      "   4 False\t407737529405041844\t>\t123007690877173566\n",
-      "   5 False\t123007690877173566\t>\t31135299669581797\n",
-      "   6 False\t31135299669581797\t>\t15965168451141906\n",
-      "   7 False\t15965168451141906\t>\t6999063707095971\n",
-      "   2 True\t6999063707095971\t<\t6103695617830337015\n",
-      "   3 True\t6103695617830337015\t<\t7527894679058442484\n",
-      "   4 True\t7527894679058442484\t<\t8993858791269009966\n",
-      "   5 True\t8993858791269009966\t<\t9135785609664363955\n",
-      "   6 True\t9135785609664363955\t<\t9192422891501449511\n",
-      "   7 True\t9192422891501449511\t<\t9205482406214590174\n",
-      "   8 True\t9205482406214590174\t<\t9222050364224299330\n",
-      "   9 True\t9222050364224299330\t<\t9223203162647811745\n",
-      "  10 True\t9223203162647811745\t<\t9223241755142756455\n",
-      "   2 False\t9223241755142756455\t>\t8383500876130123638\n",
-      "   3 False\t8383500876130123638\t>\t6956229896260173974\n",
-      "   2 True\t6956229896260173974\t<\t8822223300648126795\n",
-      "   3 True\t8822223300648126795\t<\t9140521472123592324\n",
-      "   2 False\t9140521472123592324\t>\t2710111116226406001\n",
-      "   3 False\t2710111116226406001\t>\t2209019047150497670\n",
-      "   2 True\t2209019047150497670\t<\t3867251657297659973\n",
-      "   2 False\t3867251657297659973\t>\t1828304725899772007\n",
-      "   2 True\t1828304725899772007\t<\t7936144590555985698\n",
-      "   3 True\t7936144590555985698\t<\t7984214126296497762\n",
-      "   4 True\t7984214126296497762\t<\t8923622933165212924\n",
-      "   1 True\t8923622933165212924\t=\t8923622933165212924\n",
-      "   2 False\t8923622933165212924\t>\t7622900792311332595\n",
-      "   3 False\t7622900792311332595\t>\t4587423223977341352\n",
-      "   1 False\t4587423223977341352\t=\t4587423223977341352\n",
-      "   2 False\t4587423223977341352\t>\t1440691261741020750\n",
-      "   3 False\t1440691261741020750\t>\t178573199822032308\n",
-      "   4 False\t178573199822032308\t>\t171222242613013724\n",
-      "   2 True\t171222242613013724\t<\t789438158111983258\n",
-      "   3 True\t789438158111983258\t<\t1318280794299872099\n",
-      "   2 False\t1318280794299872099\t>\t766978651478640142\n",
-      "   2 True\t766978651478640142\t<\t2714266919955203399\n",
-      "   3 True\t2714266919955203399\t<\t5174316307414585236\n",
-      "   2 False\t5174316307414585236\t>\t448305366880977648\n",
-      "   3 False\t448305366880977648\t>\t350254646752782184\n",
-      "   4 False\t350254646752782184\t>\t88138344151076111\n",
-      "   2 True\t88138344151076111\t<\t706709092378595198\n",
-      "   1 True\t706709092378595198\t=\t706709092378595198\n",
-      "   2 True\t706709092378595198\t<\t4546055092885070130\n",
-      "   2 False\t4546055092885070130\t>\t4247226766284018176\n",
-      "   3 False\t4247226766284018176\t>\t2421381164918738305\n",
-      "   2 True\t2421381164918738305\t<\t2770775970110505170\n",
-      "   3 True\t2770775970110505170\t<\t5167467910594423098\n",
-      "   4 True\t5167467910594423098\t<\t6887997063172487904\n",
-      "   5 True\t6887997063172487904\t<\t8108024388060351048\n",
-      "   6 True\t8108024388060351048\t<\t9138378722316562978\n",
-      "   2 False\t9138378722316562978\t>\t1085175367661050765\n",
-      "   3 False\t1085175367661050765\t>\t810395642078797624\n",
-      "   2 True\t810395642078797624\t<\t7709251388693736917\n",
-      "   3 True\t7709251388693736917\t<\t8922693492121517781\n",
-      "   2 False\t8922693492121517781\t>\t5123377228408053409\n",
-      "   3 False\t5123377228408053409\t>\t4159729523716472045\n",
-      "   4 False\t4159729523716472045\t>\t322908859020857636\n",
-      "   5 False\t322908859020857636\t>\t45122852557931607\n",
-      "   6 False\t45122852557931607\t>\t17421998421388414\n",
-      "   2 True\t17421998421388414\t<\t4627922776751541061\n",
-      "   3 True\t4627922776751541061\t<\t7713416575885857251\n",
-      "   2 False\t7713416575885857251\t>\t3063396510912437619\n",
-      "   3 False\t3063396510912437619\t>\t516839089837482227\n",
-      "   2 True\t516839089837482227\t<\t7029685043621493974\n",
-      "   2 False\t7029685043621493974\t>\t3427759180974132949\n",
-      "   3 False\t3427759180974132949\t>\t2329495040509226918\n",
-      "   2 True\t2329495040509226918\t<\t5302099746119441791\n",
-      "   3 True\t5302099746119441791\t<\t8861716597330329097\n",
-      "   4 True\t8861716597330329097\t<\t9025140196582231367\n",
-      "   5 True\t9025140196582231367\t<\t9033656432394815919\n",
-      "   6 True\t9033656432394815919\t<\t9153916034428037388\n",
-      "   7 True\t9153916034428037388\t<\t9203771799761552906\n",
-      "   2 False\t9203771799761552906\t>\t190492516629017116\n",
-      "   3 False\t190492516629017116\t>\t89885557671404918\n",
-      "   4 False\t89885557671404918\t>\t15415864222311761\n",
-      "   2 True\t15415864222311761\t<\t3650353725591007591\n",
-      "   3 True\t3650353725591007591\t<\t8123701396257710636\n",
-      "   4 True\t8123701396257710636\t<\t8453762669242602588\n",
-      "   5 True\t8453762669242602588\t<\t8551176550138141865\n",
-      "   2 False\t8551176550138141865\t>\t2676434737059346649\n",
-      "   3 False\t2676434737059346649\t>\t1331390697331379154\n",
-      "   2 True\t1331390697331379154\t<\t5698164388732854585\n",
-      "   3 True\t5698164388732854585\t<\t9202298366070116237\n",
-      "   2 False\t9202298366070116237\t>\t3655815953684576988\n",
-      "   2 True\t3655815953684576988\t<\t5127940617348619244\n",
-      "   3 True\t5127940617348619244\t<\t8067666570843617197\n",
-      "   2 False\t8067666570843617197\t>\t2865774820387836028\n",
-      "   1 False\t2865774820387836028\t=\t2865774820387836028\n",
-      "   2 False\t2865774820387836028\t>\t2864923758554659117\n",
-      "   2 True\t2864923758554659117\t<\t3326537174427652853\n",
-      "   3 True\t3326537174427652853\t<\t7408803273567395141\n",
-      "   2 False\t7408803273567395141\t>\t7272956030480437852\n",
-      "   3 False\t7272956030480437852\t>\t3767552375194597566\n",
-      "   2 True\t3767552375194597566\t<\t4634356847457968016\n",
-      "   3 True\t4634356847457968016\t<\t7995538802243243697\n",
-      "   1 True\t7995538802243243697\t=\t7995538802243243697\n",
-      "   2 True\t7995538802243243697\t<\t8329814592209716015\n",
-      "   3 True\t8329814592209716015\t<\t8857701173136531865\n",
-      "   4 True\t8857701173136531865\t<\t9135998608534765723\n",
-      "   5 True\t9135998608534765723\t<\t9140344134314505836\n",
-      "   2 False\t9140344134314505836\t>\t519301206919373400\n",
-      "   3 False\t519301206919373400\t>\t180131259356465832\n",
-      "   4 False\t180131259356465832\t>\t41121530874494641\n",
-      "   2 True\t41121530874494641\t<\t1378632351760691005\n",
-      "   3 True\t1378632351760691005\t<\t8230830042225463463\n",
-      "   2 False\t8230830042225463463\t>\t4509954271143823496\n",
-      "   3 False\t4509954271143823496\t>\t4406662381189750964\n",
-      "   4 False\t4406662381189750964\t>\t178793189001872197\n",
-      "   5 False\t178793189001872197\t>\t50266168401827447\n",
-      "   2 True\t50266168401827447\t<\t4602957475359166574\n",
-      "   3 True\t4602957475359166574\t<\t6867249996929967852\n",
-      "   2 False\t6867249996929967852\t>\t2636970409432490367\n",
-      "   3 False\t2636970409432490367\t>\t2618804275532298133\n",
-      "   2 True\t2618804275532298133\t<\t5572174706644260615\n",
-      "   3 True\t5572174706644260615\t<\t6406262334970772787\n",
-      "   2 False\t6406262334970772787\t>\t2324415364054342941\n",
-      "   1 False\t2324415364054342941\t=\t2324415364054342941\n",
-      "   2 False\t2324415364054342941\t>\t1688140866203661758\n",
-      "   3 False\t1688140866203661758\t>\t119526513490157789\n",
-      "   4 False\t119526513490157789\t>\t101468814035084391\n",
-      "   5 False\t101468814035084391\t>\t70793487351332409\n",
-      "   1 False\t70793487351332409\t=\t70793487351332409\n",
-      "   2 False\t70793487351332409\t>\t32872370906116179\n",
-      "   2 True\t32872370906116179\t<\t8942114569419218379\n",
-      "   3 True\t8942114569419218379\t<\t9163935260245140652\n",
-      "   4 True\t9163935260245140652\t<\t9208507633093846504\n",
-      "   5 True\t9208507633093846504\t<\t9219316557875609843\n",
-      "   2 False\t9219316557875609843\t>\t4292357396365065997\n",
-      "   1 False\t4292357396365065997\t=\t4292357396365065997\n",
-      "   2 False\t4292357396365065997\t>\t2658238005456899358\n",
-      "   3 False\t2658238005456899358\t>\t2568221338362196983\n",
-      "   2 True\t2568221338362196983\t<\t8937767108437572437\n",
-      "   3 True\t8937767108437572437\t<\t9170436640702395986\n",
-      "   2 False\t9170436640702395986\t>\t7425810903769540\n",
-      "   3 False\t7425810903769540\t>\t5252497412846949\n",
-      "   4 False\t5252497412846949\t>\t1868592829110075\n"
-     ]
-    },
-    {
-     "ename": "TypeError",
-     "evalue": "'int' object is not iterable",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
-      "\u001b[0;32m<ipython-input-9-66ddd5864f9d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      3\u001b[0m         \u001b[0msseq\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m         \u001b[0mseq\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0ms\u001b[0m \u001b[0;32min\u001b[0m \u001b[0msseq\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m','\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m         \u001b[0ms\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ml\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlongest_monotone\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mseq\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdebug\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m         \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ml\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mTypeError\u001b[0m: 'int' object is not iterable"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
-    "for i in range(1):\n",
-    "    with open('sequence{:03}.txt'.format(i)) as f:\n",
-    "        sseq = f.read()\n",
-    "        seq = [int(s) for s in sseq.split(',')]\n",
-    "        s, l = longest_monotone(seq, debug=True)\n",
-    "        print(i, s, l)"
+    "for i in range(1):\n",
+    "    with open('sequence{:03}.txt'.format(i)) as f:\n",
+    "        sseq = f.read()\n",
+    "        seq = [int(s) for s in sseq.split(',')]\n",
+    "        s, l = longest_monotone(seq, debug=True)\n",
+    "        print(i, s, l)"
    ]
   },
   {