X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=09-resolving-the-bill%2Finterleaving.ipynb;h=04c8ca1ace84dc38617d57bc8a14113c034fbb23;hb=456ac7253b3d4798223da34369535262cbc38057;hp=a132809fa6ef8e9de8f6d91ef87c20b877448f1d;hpb=04f50ec2a6f35bc907c07d1a04c5f5113c7ee46f;p=ou-summer-of-code-2017.git diff --git a/09-resolving-the-bill/interleaving.ipynb b/09-resolving-the-bill/interleaving.ipynb index a132809..04c8ca1 100644 --- a/09-resolving-the-bill/interleaving.ipynb +++ b/09-resolving-the-bill/interleaving.ipynb @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -46,10 +46,8 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, + "execution_count": 4, + "metadata": {}, "outputs": [ { "data": { @@ -57,7 +55,7 @@ "[(0, ''), (1, 'a'), (2, 'aa'), (3, 'aab'), (4, 'aabc'), (5, 'aabcc')]" ] }, - "execution_count": 3, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -75,10 +73,8 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, + "execution_count": 5, + "metadata": {}, "outputs": [ { "data": { @@ -91,7 +87,7 @@ " [False, False, False, False, False, False]]" ] }, - "execution_count": 4, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -104,9 +100,8 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { - "collapsed": false, "scrolled": true }, "outputs": [ @@ -151,7 +146,7 @@ " (5, 5): False}" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -165,7 +160,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": { "collapsed": true }, @@ -179,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": { "collapsed": true }, @@ -193,10 +188,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, + "execution_count": 9, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -217,16 +210,14 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, + "execution_count": 10, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "aabcc dbbca aadbbbaccc\n", + "aabcc dbbca aadbbcbcac\n", "aa 0 0 ! ! ! True\n", "s2 0 1 ! d a False\n", "s2 0 2 ! b a False\n", @@ -238,39 +229,39 @@ "xx 1 2 a b d False\n", "xx 1 3 a b b False\n", "xx 1 4 a c b False\n", - "xx 1 5 a a b False\n", + "xx 1 5 a a c False\n", "s1 2 0 a ! a True\n", "s2 2 1 a d d True\n", "s2 2 2 a b b True\n", "s2 2 3 a b b True\n", - "xx 2 4 a c b False\n", - "xx 2 5 a a a False\n", + "s2 2 4 a c c True\n", + "xx 2 5 a a b False\n", "s1 3 0 b ! d False\n", "s1 3 1 b d b True\n", "s2 3 2 b b b True\n", "s1 3 2 b b b True\n", - "s2 3 3 b b b True\n", - "s1 3 3 b b b True\n", - "xx 3 4 b c a False\n", + "xx 3 3 b b c False\n", + "s1 3 4 b c b True\n", "xx 3 5 b a c False\n", "s1 4 0 c ! b False\n", "xx 4 1 c d b False\n", - "xx 4 2 c b b False\n", - "xx 4 3 c b a False\n", - "xx 4 4 c c c False\n", - "xx 4 5 c a c False\n", + "s1 4 2 c b c True\n", + "s2 4 3 c b b True\n", + "s2 4 4 c c c True\n", + "s1 4 4 c c c True\n", + "s2 4 5 c a a True\n", "s1 5 0 c ! b False\n", - "xx 5 1 c d b False\n", - "xx 5 2 c b a False\n", - "xx 5 3 c b c False\n", - "xx 5 4 c c c False\n", - "xx 5 5 c a c False\n", + "xx 5 1 c d c False\n", + "xx 5 2 c b b False\n", + "s1 5 3 c b c True\n", + "xx 5 4 c c a False\n", + "s1 5 5 c a c True\n", "T . . . . .\n", "T . . . . .\n", - "T T T T . .\n", - ". T T T . .\n", - ". . . . . .\n", - ". . . . . .\n" + "T T T T T .\n", + ". T T . T .\n", + ". . T T T T\n", + ". . . T . T\n" ] }, { @@ -281,18 +272,25 @@ " (2, 1): (2, 0, 'd', 's2'),\n", " (2, 2): (2, 1, 'b', 's2'),\n", " (2, 3): (2, 2, 'b', 's2'),\n", + " (2, 4): (2, 3, 'c', 's2'),\n", " (3, 1): (2, 1, 'b', 's1'),\n", " (3, 2): (2, 2, 'b', 's1'),\n", - " (3, 3): (2, 3, 'b', 's1')}" + " (3, 4): (2, 4, 'b', 's1'),\n", + " (4, 2): (3, 2, 'c', 's1'),\n", + " (4, 3): (4, 2, 'b', 's2'),\n", + " (4, 4): (3, 4, 'c', 's1'),\n", + " (4, 5): (4, 4, 'a', 's2'),\n", + " (5, 3): (4, 3, 'c', 's1'),\n", + " (5, 5): (4, 5, 'c', 's1')}" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "s3 = s3f\n", + "s3 = s3t\n", "\n", "print(s1, s2, s3)\n", "\n", @@ -339,7 +337,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "collapsed": true }, @@ -415,10 +413,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, + "execution_count": 12, + "metadata": {}, "outputs": [ { "data": { @@ -426,7 +422,7 @@ "True" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -437,10 +433,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, + "execution_count": 13, + "metadata": {}, "outputs": [ { "data": { @@ -463,7 +457,7 @@ " (5, 5): (4, 5, 'c', 'seq1')})" ] }, - "execution_count": 12, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -474,9 +468,8 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": { - "collapsed": false, "scrolled": true }, "outputs": [ @@ -537,7 +530,7 @@ " (5, 5): True})" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -548,10 +541,8 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, + "execution_count": 15, + "metadata": {}, "outputs": [ { "data": { @@ -559,7 +550,7 @@ "False" ] }, - "execution_count": 14, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -570,10 +561,8 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, + "execution_count": 16, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -614,7 +603,7 @@ " (4, 3): (4, 2, 'b', 'seq2')})" ] }, - "execution_count": 15, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -625,7 +614,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": { "collapsed": true }, @@ -649,7 +638,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": { "collapsed": true }, @@ -663,18 +652,16 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, + "execution_count": 19, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "'acdcfgfcgdhagedbdccbgefgbfbgaacbfbdcebehaeccgadghe'" + "'ddbcceaffddbbddddehffcdffbffdfdfdddcehhgaddfddbgda'" ] }, - "execution_count": 18, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -685,7 +672,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": { "collapsed": true }, @@ -726,63 +713,62 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, + "execution_count": 21, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0 0 0 adding g\n", - "1 0 1 adding w\n", - "1 1 0 adding x\n", - "1 2 -1 adding u\n", - "1 3 -2 adding z\n", - "1 4 -3 adding f\n", - "2 4 -2 adding z\n", - "2 5 -3 adding x\n", - "2 6 -4 adding h\n", - "3 6 -3 adding u\n", - "3 7 -4 adding a\n", - "4 7 -3 adding b\n", - "5 7 -2 adding y\n", - "5 8 -3 adding u\n", - "5 9 -4 adding w\n", - "5 10 -5 adding g\n", - "6 10 -4 adding u\n", - "6 11 -5 adding g\n", - "7 11 -4 adding g\n", - "8 11 -3 adding f\n", - "9 11 -2 adding g\n", + "0 0 0 adding f\n", + "1 0 1 adding f\n", + "2 0 2 adding d\n", + "3 0 3 adding v\n", + "3 1 2 adding d\n", + "4 1 3 adding g\n", + "5 1 4 adding g\n", + "6 1 5 adding v\n", + "6 2 4 adding d\n", + "7 2 5 adding z\n", + "7 3 4 adding h\n", + "8 3 5 adding w\n", + "8 4 4 adding z\n", + "8 5 3 adding y\n", + "8 6 2 adding b\n", + "9 6 3 adding u\n", + "9 7 2 adding d\n", + "10 7 3 adding w\n", + "10 8 2 adding u\n", + "10 9 1 adding w\n", + "10 10 0 adding u\n", "10 11 -1 adding g\n", - "11 11 0 adding w\n", - "11 12 -1 adding y\n", - "11 13 -2 adding w\n", - "11 14 -3 adding y\n", - "11 15 -4 adding a\n", - "12 15 -3 adding e\n", - "13 15 -2 adding z\n", - "13 16 -3 adding x\n", - "13 17 -4 adding x\n", - "13 18 -5 adding f\n", - "14 18 -4 adding y\n", - "14 19 -5 adding b\n", - "15 19 -4 adding x\n", - "15 20 -5 remaining s1 fcbab\n" + "11 11 0 adding c\n", + "12 11 1 adding x\n", + "12 12 0 adding z\n", + "12 13 -1 adding b\n", + "13 13 0 adding a\n", + "14 13 1 adding v\n", + "14 14 0 adding a\n", + "15 14 1 adding x\n", + "15 15 0 adding f\n", + "16 15 1 adding f\n", + "17 15 2 adding v\n", + "17 16 1 adding c\n", + "18 16 2 adding a\n", + "19 16 3 adding h\n", + "20 16 4 remaining s2 vzxy\n" ] }, { "data": { "text/plain": [ - "('gfhabgggfggaefbfcbab',\n", - " 'wxuzzxuyuwuwywyzxxyx',\n", - " 'gwxuzfzxhuabyuwguggfggwywyaezxxfybxfcbab',\n", + "('ffddggdhbdgcbaaffcah',\n", + " 'vvzwzyuwuwuxzvxvvzxy',\n", + " 'ffdvdggvdzhwzybudwuwugcxzbavaxffvcahvzxy',\n", " 40)" ] }, - "execution_count": 20, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -796,477 +782,475 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, + "execution_count": 22, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "xxxx 0 0 ! ! ! True\n", - "seq2 0 1 ! g g True\n", - "seq2 0 2 ! f w False\n", - "seq2 0 3 ! h x False\n", - "seq2 0 4 ! a u False\n", - "seq2 0 5 ! b z False\n", - "seq2 0 6 ! g f False\n", - "seq2 0 7 ! g z False\n", - "seq2 0 8 ! g x False\n", - "seq2 0 9 ! f h False\n", - "seq2 0 10 ! g u False\n", - "seq2 0 11 ! g a False\n", - "seq2 0 12 ! a b False\n", - "seq2 0 13 ! e y False\n", - "seq2 0 14 ! f u False\n", - "seq2 0 15 ! b w False\n", - "seq2 0 16 ! f g False\n", - "seq2 0 17 ! c u False\n", - "seq2 0 18 ! b g False\n", - "seq2 0 19 ! a g False\n", - "seq2 0 20 ! b f False\n", - "seq1 1 0 w ! g False\n", - "seq1 1 1 w g w True\n", - "xxxx 1 2 w f x False\n", - "xxxx 1 3 w h u False\n", - "xxxx 1 4 w a z False\n", - "xxxx 1 5 w b f False\n", - "xxxx 1 6 w g z False\n", - "xxxx 1 7 w g x False\n", - "xxxx 1 8 w g h False\n", - "xxxx 1 9 w f u False\n", - "xxxx 1 10 w g a False\n", - "xxxx 1 11 w g b False\n", - "xxxx 1 12 w a y False\n", - "xxxx 1 13 w e u False\n", - "xxxx 1 14 w f w False\n", - "xxxx 1 15 w b g False\n", - "xxxx 1 16 w f u False\n", - "xxxx 1 17 w c g False\n", - "xxxx 1 18 w b g False\n", - "xxxx 1 19 w a f False\n", - "xxxx 1 20 w b g False\n", - "seq1 2 0 x ! w False\n", - "seq1 2 1 x g x True\n", - "xxxx 2 2 x f u False\n", - "xxxx 2 3 x h z False\n", - "xxxx 2 4 x a f False\n", - "xxxx 2 5 x b z False\n", - "xxxx 2 6 x g x False\n", - "xxxx 2 7 x g h False\n", - "xxxx 2 8 x g u False\n", - "xxxx 2 9 x f a False\n", - "xxxx 2 10 x g b False\n", - "xxxx 2 11 x g y False\n", - "xxxx 2 12 x a u False\n", - "xxxx 2 13 x e w False\n", - "xxxx 2 14 x f g False\n", - "xxxx 2 15 x b u False\n", - "xxxx 2 16 x f g False\n", - "xxxx 2 17 x c g False\n", - "xxxx 2 18 x b f False\n", - "xxxx 2 19 x a g False\n", - "xxxx 2 20 x b g False\n", - "seq1 3 0 u ! x False\n", - "seq1 3 1 u g u True\n", - "xxxx 3 2 u f z False\n", - "xxxx 3 3 u h f False\n", - "xxxx 3 4 u a z False\n", - "xxxx 3 5 u b x False\n", - "xxxx 3 6 u g h False\n", - "xxxx 3 7 u g u False\n", - "xxxx 3 8 u g a False\n", - "xxxx 3 9 u f b False\n", - "xxxx 3 10 u g y False\n", - "xxxx 3 11 u g u False\n", - "xxxx 3 12 u a w False\n", - "xxxx 3 13 u e g False\n", - "xxxx 3 14 u f u False\n", - "xxxx 3 15 u b g False\n", - "xxxx 3 16 u f g False\n", - "xxxx 3 17 u c f False\n", - "xxxx 3 18 u b g False\n", - "xxxx 3 19 u a g False\n", - "xxxx 3 20 u b w False\n", - "seq1 4 0 z ! 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f False\n", - "xxxx 6 1 x g z False\n", - "seq1 6 2 x f x True\n", - "seq2 6 3 x h h True\n", - "xxxx 6 4 x a u False\n", - "xxxx 6 5 x b a False\n", - "xxxx 6 6 x g b False\n", - "xxxx 6 7 x g y False\n", - "xxxx 6 8 x g u False\n", - "xxxx 6 9 x f w False\n", - "xxxx 6 10 x g g False\n", - "xxxx 6 11 x g u False\n", - "xxxx 6 12 x a g False\n", - "xxxx 6 13 x e g False\n", - "xxxx 6 14 x f f False\n", - "xxxx 6 15 x b g False\n", - "xxxx 6 16 x f g False\n", - "xxxx 6 17 x c w False\n", - "xxxx 6 18 x b y False\n", - "xxxx 6 19 x a w False\n", - "xxxx 6 20 x b y False\n", - "seq1 7 0 u ! z False\n", - "xxxx 7 1 u g x False\n", - "xxxx 7 2 u f h False\n", - "seq1 7 3 u h u True\n", - "seq2 7 4 u a a True\n", - "seq2 7 5 u b b True\n", - "xxxx 7 6 u g y False\n", - "xxxx 7 7 u g u False\n", - "xxxx 7 8 u g w False\n", - "xxxx 7 9 u f g False\n", - "xxxx 7 10 u g u False\n", - "xxxx 7 11 u g g False\n", - "xxxx 7 12 u a g False\n", - "xxxx 7 13 u e f False\n", - "xxxx 7 14 u f g False\n", - "xxxx 7 15 u b g False\n", - "xxxx 7 16 u f w False\n", - "xxxx 7 17 u c y False\n", - "xxxx 7 18 u b w False\n", - "xxxx 7 19 u a y False\n", - "xxxx 7 20 u b a False\n", - "seq1 8 0 y ! x False\n", - "xxxx 8 1 y g h False\n", - "xxxx 8 2 y f u False\n", - "xxxx 8 3 y h a False\n", - "xxxx 8 4 y a b False\n", - "seq1 8 5 y b y True\n", - "xxxx 8 6 y g u False\n", - "xxxx 8 7 y g w False\n", - "xxxx 8 8 y g g False\n", - "xxxx 8 9 y f u False\n", - "xxxx 8 10 y g g False\n", - "xxxx 8 11 y g g False\n", - "xxxx 8 12 y a f False\n", - "xxxx 8 13 y e g False\n", - "xxxx 8 14 y f g False\n", - "xxxx 8 15 y b w False\n", - "xxxx 8 16 y f y False\n", - "xxxx 8 17 y c w False\n", - "xxxx 8 18 y b y False\n", - "xxxx 8 19 y a a False\n", - "xxxx 8 20 y b e False\n", - "seq1 9 0 u ! h False\n", - "xxxx 9 1 u g u False\n", - "xxxx 9 2 u f a False\n", - "xxxx 9 3 u h b False\n", - "xxxx 9 4 u a y False\n", - "seq1 9 5 u b u True\n", - "xxxx 9 6 u g w False\n", - "xxxx 9 7 u g g False\n", - "xxxx 9 8 u g u False\n", - "xxxx 9 9 u f g False\n", - "xxxx 9 10 u g g False\n", - "xxxx 9 11 u g f False\n", - "xxxx 9 12 u a g False\n", - "xxxx 9 13 u e g False\n", - "xxxx 9 14 u f w False\n", - "xxxx 9 15 u b y False\n", - "xxxx 9 16 u f w False\n", - "xxxx 9 17 u c y False\n", - "xxxx 9 18 u b a False\n", - "xxxx 9 19 u a e False\n", - "xxxx 9 20 u b z False\n", - "seq1 10 0 w ! 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d v False\n", + "seq2 0 5 ! g d False\n", + "seq2 0 6 ! g g False\n", + "seq2 0 7 ! d g False\n", + "seq2 0 8 ! h v False\n", + "seq2 0 9 ! b d False\n", + "seq2 0 10 ! d z False\n", + "seq2 0 11 ! g h False\n", + "seq2 0 12 ! c w False\n", + "seq2 0 13 ! b z False\n", + "seq2 0 14 ! a y False\n", + "seq2 0 15 ! a b False\n", + "seq2 0 16 ! f u False\n", + "seq2 0 17 ! f d False\n", + "seq2 0 18 ! c w False\n", + "seq2 0 19 ! a u False\n", + "seq2 0 20 ! h w False\n", + "seq1 1 0 v ! f False\n", + "xxxx 1 1 v f f False\n", + "xxxx 1 2 v f d False\n", + "seq1 1 3 v d v True\n", + "seq2 1 4 v d d True\n", + "seq2 1 5 v g g True\n", + "seq2 1 6 v g g True\n", + "xxxx 1 7 v d v False\n", + "xxxx 1 8 v h d False\n", + "xxxx 1 9 v b z False\n", + "xxxx 1 10 v d h False\n", + "xxxx 1 11 v g w False\n", + "xxxx 1 12 v c z False\n", + "xxxx 1 13 v b y False\n", + "xxxx 1 14 v a b False\n", + "xxxx 1 15 v a u False\n", + "xxxx 1 16 v f d False\n", + "xxxx 1 17 v f w False\n", + "xxxx 1 18 v c u False\n", + "xxxx 1 19 v a w False\n", + "xxxx 1 20 v h u False\n", + "seq1 2 0 v ! f False\n", + "xxxx 2 1 v f d False\n", + "xxxx 2 2 v f v False\n", + "xxxx 2 3 v d d False\n", + "xxxx 2 4 v d g False\n", + "xxxx 2 5 v g g False\n", + "seq1 2 6 v g v True\n", + "seq2 2 7 v d d True\n", + "xxxx 2 8 v h z False\n", + "xxxx 2 9 v b h False\n", + "xxxx 2 10 v d w False\n", + "xxxx 2 11 v g z False\n", + "xxxx 2 12 v c y False\n", + "xxxx 2 13 v b b False\n", + "xxxx 2 14 v a u False\n", + "xxxx 2 15 v a d False\n", + "xxxx 2 16 v f w False\n", + "xxxx 2 17 v f u False\n", + "xxxx 2 18 v c w False\n", + "xxxx 2 19 v a u False\n", + "xxxx 2 20 v h g False\n", + "seq1 3 0 z ! d False\n", + "xxxx 3 1 z f v False\n", + "xxxx 3 2 z f d False\n", + "xxxx 3 3 z d g False\n", + "xxxx 3 4 z d g False\n", + "xxxx 3 5 z g v False\n", + "xxxx 3 6 z g d False\n", + "seq1 3 7 z d z True\n", + "seq2 3 8 z h h True\n", + "xxxx 3 9 z b w False\n", + "xxxx 3 10 z d z False\n", + "xxxx 3 11 z g y False\n", + "xxxx 3 12 z c b False\n", + "xxxx 3 13 z b u False\n", + "xxxx 3 14 z a d False\n", + "xxxx 3 15 z a w False\n", + "xxxx 3 16 z f u False\n", + "xxxx 3 17 z f w False\n", + "xxxx 3 18 z c u False\n", + "xxxx 3 19 z a g False\n", + "xxxx 3 20 z h c False\n", + "seq1 4 0 w ! v False\n", + "xxxx 4 1 w f d False\n", + "xxxx 4 2 w f g False\n", + "xxxx 4 3 w d g False\n", + "xxxx 4 4 w d v False\n", + "xxxx 4 5 w g d False\n", + "xxxx 4 6 w g z False\n", + "xxxx 4 7 w d h False\n", + "seq1 4 8 w h w True\n", + "xxxx 4 9 w b z False\n", + "xxxx 4 10 w d y False\n", + "xxxx 4 11 w g b False\n", + "xxxx 4 12 w c u False\n", + "xxxx 4 13 w b d False\n", + "xxxx 4 14 w a w False\n", + "xxxx 4 15 w a u False\n", + "xxxx 4 16 w f w False\n", + "xxxx 4 17 w f u False\n", + "xxxx 4 18 w c g False\n", + "xxxx 4 19 w a c False\n", + "xxxx 4 20 w h x False\n", + "seq1 5 0 z ! d False\n", + "xxxx 5 1 z f g False\n", + "xxxx 5 2 z f g False\n", + "xxxx 5 3 z d v False\n", + "xxxx 5 4 z d d False\n", + "xxxx 5 5 z g z False\n", + "xxxx 5 6 z g h False\n", + "xxxx 5 7 z d w False\n", + "seq1 5 8 z h z True\n", + "xxxx 5 9 z b y False\n", + "xxxx 5 10 z d b False\n", + "xxxx 5 11 z g u False\n", + "xxxx 5 12 z c d False\n", + "xxxx 5 13 z b w False\n", + "xxxx 5 14 z a u False\n", + "xxxx 5 15 z a w False\n", + "xxxx 5 16 z f u False\n", + "xxxx 5 17 z f g False\n", + "xxxx 5 18 z c c False\n", + "xxxx 5 19 z a x False\n", + "xxxx 5 20 z h z False\n", + "seq1 6 0 y ! g False\n", + "xxxx 6 1 y f g False\n", + "xxxx 6 2 y f v False\n", + "xxxx 6 3 y d d False\n", + "xxxx 6 4 y d z False\n", + "xxxx 6 5 y g h False\n", + "xxxx 6 6 y g w False\n", + "xxxx 6 7 y d z False\n", + "seq1 6 8 y h y True\n", + "seq2 6 9 y b b True\n", + "xxxx 6 10 y d u False\n", + "xxxx 6 11 y g d False\n", + "xxxx 6 12 y c w False\n", + "xxxx 6 13 y b u False\n", + "xxxx 6 14 y a w False\n", + "xxxx 6 15 y a u False\n", + "xxxx 6 16 y f g False\n", + "xxxx 6 17 y f c False\n", + "xxxx 6 18 y c x False\n", + "xxxx 6 19 y a z False\n", + "xxxx 6 20 y h b False\n", + "seq1 7 0 u ! g False\n", + "xxxx 7 1 u f v False\n", + "xxxx 7 2 u f d False\n", + "xxxx 7 3 u d z False\n", + "xxxx 7 4 u d h False\n", + "xxxx 7 5 u g w False\n", + "xxxx 7 6 u g z False\n", + "xxxx 7 7 u d y False\n", + "xxxx 7 8 u h b False\n", + "seq1 7 9 u b u True\n", + "seq2 7 10 u d d True\n", + "xxxx 7 11 u g w False\n", + "xxxx 7 12 u c u False\n", + "xxxx 7 13 u b w False\n", + "xxxx 7 14 u a u False\n", + "xxxx 7 15 u a g False\n", + "xxxx 7 16 u f c False\n", + "xxxx 7 17 u f x False\n", + "xxxx 7 18 u c z False\n", + "xxxx 7 19 u a b False\n", + "xxxx 7 20 u h a False\n", + "seq1 8 0 w ! v False\n", + "xxxx 8 1 w f d False\n", + "xxxx 8 2 w f z False\n", + "xxxx 8 3 w d h False\n", + "xxxx 8 4 w d w False\n", + "xxxx 8 5 w g z False\n", + "xxxx 8 6 w g y False\n", + "xxxx 8 7 w d b False\n", + "xxxx 8 8 w h u False\n", + "xxxx 8 9 w b d False\n", + "seq1 8 10 w d w True\n", + "xxxx 8 11 w g u False\n", + "xxxx 8 12 w c w False\n", + "xxxx 8 13 w b u False\n", + "xxxx 8 14 w a g False\n", + "xxxx 8 15 w a c False\n", + "xxxx 8 16 w f x False\n", + "xxxx 8 17 w f z False\n", + "xxxx 8 18 w c b False\n", + "xxxx 8 19 w a a False\n", + "xxxx 8 20 w h v False\n", + "seq1 9 0 u ! d False\n", + "xxxx 9 1 u f z False\n", + "xxxx 9 2 u f h False\n", + "xxxx 9 3 u d w False\n", + "xxxx 9 4 u d z False\n", + "xxxx 9 5 u g y False\n", + "xxxx 9 6 u g b False\n", + "xxxx 9 7 u d u False\n", + "xxxx 9 8 u h d False\n", + "xxxx 9 9 u b w False\n", + "seq1 9 10 u d u True\n", + "xxxx 9 11 u g w False\n", + "xxxx 9 12 u c u False\n", + "xxxx 9 13 u b g False\n", + "xxxx 9 14 u a c False\n", + "xxxx 9 15 u a x False\n", + "xxxx 9 16 u f z False\n", + "xxxx 9 17 u f b False\n", + "xxxx 9 18 u c a False\n", + "xxxx 9 19 u a v False\n", + "xxxx 9 20 u h a False\n", + "seq1 10 0 w ! z False\n", + "xxxx 10 1 w f h False\n", + "xxxx 10 2 w f w False\n", + "xxxx 10 3 w d z False\n", + "xxxx 10 4 w d y False\n", + "xxxx 10 5 w g b False\n", + "xxxx 10 6 w g u False\n", + "xxxx 10 7 w d d False\n", + "xxxx 10 8 w h w False\n", + "xxxx 10 9 w b u False\n", + "seq1 10 10 w d w True\n", + "xxxx 10 11 w g u False\n", + "xxxx 10 12 w c g False\n", + "xxxx 10 13 w b c False\n", + "xxxx 10 14 w a x False\n", + "xxxx 10 15 w a z False\n", + "xxxx 10 16 w f b False\n", + "xxxx 10 17 w f a False\n", + "xxxx 10 18 w c v False\n", + "xxxx 10 19 w a a False\n", + "xxxx 10 20 w h x False\n", + "seq1 11 0 u ! h False\n", + "xxxx 11 1 u f w False\n", + "xxxx 11 2 u f z False\n", + "xxxx 11 3 u d y False\n", + "xxxx 11 4 u d b False\n", + "xxxx 11 5 u g u False\n", + "xxxx 11 6 u g d False\n", + "xxxx 11 7 u d w False\n", + "xxxx 11 8 u h u False\n", + "xxxx 11 9 u b w False\n", + "seq1 11 10 u d u True\n", "seq2 11 11 u g g True\n", - "xxxx 11 12 u a w False\n", - "xxxx 11 13 u e y False\n", - "xxxx 11 14 u f w False\n", - "xxxx 11 15 u b y False\n", + "seq2 11 12 u c c True\n", + "xxxx 11 13 u b x False\n", + "xxxx 11 14 u a z False\n", + "xxxx 11 15 u a b False\n", "xxxx 11 16 u f a False\n", - "xxxx 11 17 u c e False\n", - "xxxx 11 18 u b z False\n", + "xxxx 11 17 u f v False\n", + "xxxx 11 18 u c a False\n", "xxxx 11 19 u a x False\n", - "xxxx 11 20 u b x False\n", - "seq1 12 0 w ! b False\n", - "xxxx 12 1 w g y False\n", - "xxxx 12 2 w f u False\n", - "xxxx 12 3 w h w False\n", - "xxxx 12 4 w a g False\n", - "xxxx 12 5 w b u False\n", - "xxxx 12 6 w g g False\n", - "xxxx 12 7 w g g False\n", - "xxxx 12 8 w g f False\n", - "xxxx 12 9 w f g False\n", - "xxxx 12 10 w g g False\n", - "seq1 12 11 w g w True\n", - "xxxx 12 12 w a y False\n", - "xxxx 12 13 w e w False\n", - "xxxx 12 14 w f y False\n", - "xxxx 12 15 w b a False\n", - "xxxx 12 16 w f e False\n", - "xxxx 12 17 w c z False\n", - "xxxx 12 18 w b x False\n", - "xxxx 12 19 w a x False\n", - "xxxx 12 20 w b f False\n", - "seq1 13 0 y ! y False\n", - "xxxx 13 1 y g u False\n", - "xxxx 13 2 y f w False\n", - "xxxx 13 3 y h g False\n", - "xxxx 13 4 y a u False\n", - "xxxx 13 5 y b g False\n", - "xxxx 13 6 y g g False\n", - "xxxx 13 7 y g f False\n", - "xxxx 13 8 y g g False\n", - "xxxx 13 9 y f g False\n", - "xxxx 13 10 y g w False\n", - "seq1 13 11 y g y True\n", - "xxxx 13 12 y a w False\n", - "xxxx 13 13 y e y False\n", - "xxxx 13 14 y f a False\n", - "xxxx 13 15 y b e False\n", - "xxxx 13 16 y f z False\n", - "xxxx 13 17 y c x False\n", - "xxxx 13 18 y b x False\n", - "xxxx 13 19 y a f False\n", - "xxxx 13 20 y b y False\n", - "seq1 14 0 w ! u False\n", - "xxxx 14 1 w g w False\n", - "xxxx 14 2 w f g False\n", - "xxxx 14 3 w h u False\n", - "xxxx 14 4 w a g False\n", - "xxxx 14 5 w b g False\n", - "xxxx 14 6 w g f False\n", - "xxxx 14 7 w g g False\n", - "xxxx 14 8 w g g False\n", - "xxxx 14 9 w f w False\n", - "xxxx 14 10 w g y False\n", - "seq1 14 11 w g w True\n", - "xxxx 14 12 w a y False\n", - "xxxx 14 13 w e a False\n", - "xxxx 14 14 w f e False\n", - "xxxx 14 15 w b z False\n", - "xxxx 14 16 w f x False\n", - "xxxx 14 17 w c x False\n", - "xxxx 14 18 w b f False\n", - "xxxx 14 19 w a y False\n", - "xxxx 14 20 w b b False\n", - "seq1 15 0 y ! w False\n", - "xxxx 15 1 y g g False\n", - "xxxx 15 2 y f u False\n", - "xxxx 15 3 y h g False\n", - "xxxx 15 4 y a g False\n", - "xxxx 15 5 y b f False\n", - "xxxx 15 6 y g g False\n", - "xxxx 15 7 y g g False\n", - "xxxx 15 8 y g w False\n", - "xxxx 15 9 y f y False\n", - "xxxx 15 10 y g w False\n", - "seq1 15 11 y g y True\n", - "seq2 15 12 y a a True\n", - "seq2 15 13 y e e True\n", - "xxxx 15 14 y f z False\n", - "xxxx 15 15 y b x False\n", - "xxxx 15 16 y f x False\n", - "xxxx 15 17 y c f False\n", - "xxxx 15 18 y b y False\n", - "xxxx 15 19 y a b False\n", - "xxxx 15 20 y b x False\n", - "seq1 16 0 z ! g False\n", - "xxxx 16 1 z g u False\n", - "xxxx 16 2 z f g False\n", - "xxxx 16 3 z h g False\n", - "xxxx 16 4 z a f False\n", - "xxxx 16 5 z b g False\n", - "xxxx 16 6 z g g False\n", - "xxxx 16 7 z g w False\n", - "xxxx 16 8 z g y False\n", - "xxxx 16 9 z f w False\n", - "xxxx 16 10 z g y False\n", - "xxxx 16 11 z g a False\n", - "xxxx 16 12 z a e False\n", - "seq1 16 13 z e z True\n", - "xxxx 16 14 z f x False\n", - "xxxx 16 15 z b x False\n", - "xxxx 16 16 z f f False\n", - "xxxx 16 17 z c y False\n", - "xxxx 16 18 z b b False\n", - "xxxx 16 19 z a x False\n", - "xxxx 16 20 z b f False\n", - "seq1 17 0 x ! u False\n", - "xxxx 17 1 x g g False\n", - "xxxx 17 2 x f g False\n", - "xxxx 17 3 x h f False\n", - "xxxx 17 4 x a g False\n", - "xxxx 17 5 x b g False\n", - "xxxx 17 6 x g w False\n", - "xxxx 17 7 x g y False\n", - "xxxx 17 8 x g w False\n", - "xxxx 17 9 x f y False\n", - "xxxx 17 10 x g a False\n", - "xxxx 17 11 x g e False\n", - "xxxx 17 12 x a z False\n", - "seq1 17 13 x e x True\n", - "xxxx 17 14 x f x False\n", - "xxxx 17 15 x b f False\n", - "xxxx 17 16 x f y False\n", - "xxxx 17 17 x c b False\n", - "xxxx 17 18 x b x False\n", - "xxxx 17 19 x a f False\n", - "xxxx 17 20 x b c False\n", - "seq1 18 0 x ! g False\n", - "xxxx 18 1 x g g False\n", - "xxxx 18 2 x f f False\n", - "xxxx 18 3 x h g False\n", - "xxxx 18 4 x a g False\n", - "xxxx 18 5 x b w False\n", - "xxxx 18 6 x g y False\n", - "xxxx 18 7 x g w False\n", - "xxxx 18 8 x g y False\n", - "xxxx 18 9 x f a False\n", - "xxxx 18 10 x g e False\n", - "xxxx 18 11 x g z False\n", - "xxxx 18 12 x a x False\n", - "seq1 18 13 x e x True\n", - "seq2 18 14 x f f True\n", - "xxxx 18 15 x b y False\n", - "xxxx 18 16 x f b False\n", - "xxxx 18 17 x c x False\n", - "xxxx 18 18 x b f False\n", - "xxxx 18 19 x a c False\n", - "xxxx 18 20 x b b False\n", - "seq1 19 0 y ! g False\n", - "xxxx 19 1 y g f False\n", - "xxxx 19 2 y f g False\n", - "xxxx 19 3 y h g False\n", - "xxxx 19 4 y a w False\n", - "xxxx 19 5 y b y False\n", - "xxxx 19 6 y g w False\n", - "xxxx 19 7 y g y False\n", - "xxxx 19 8 y g a False\n", - "xxxx 19 9 y f e False\n", - "xxxx 19 10 y g z False\n", - "xxxx 19 11 y g x False\n", - "xxxx 19 12 y a x False\n", - "xxxx 19 13 y e f False\n", - "seq1 19 14 y f y True\n", - "seq2 19 15 y b b True\n", - "xxxx 19 16 y f x False\n", - "xxxx 19 17 y c f False\n", - "xxxx 19 18 y b c False\n", - "xxxx 19 19 y a b False\n", - "xxxx 19 20 y b a False\n", - "seq1 20 0 x ! f False\n", - "xxxx 20 1 x g g False\n", - "xxxx 20 2 x f g False\n", - "xxxx 20 3 x h w False\n", - "xxxx 20 4 x a y False\n", - "xxxx 20 5 x b w False\n", - "xxxx 20 6 x g y False\n", - "xxxx 20 7 x g a False\n", - "xxxx 20 8 x g e False\n", - "xxxx 20 9 x f z False\n", - "xxxx 20 10 x g x False\n", - "xxxx 20 11 x g x False\n", - "xxxx 20 12 x a f False\n", - "xxxx 20 13 x e y False\n", - "xxxx 20 14 x f b False\n", - "seq1 20 15 x b x True\n", - "seq2 20 16 x f f True\n", - "seq2 20 17 x c c True\n", - "seq2 20 18 x b b True\n", - "seq2 20 19 x a a True\n", - "seq2 20 20 x b b True\n", - "T T . . . . . . . . . . . . . . . . . . .\n", - ". T . . . . . . . . . . . . . . . . . . .\n", - ". T . . . . . . . . . . . . . . . . . . .\n", - ". T . . . . . . . . . . . . . . . . . . .\n", - ". T T . . . . . . . . . . . . . . . . . .\n", - ". . T . . . . . . . . . . . . . . . . . .\n", - ". . T T . . . . . . . . . . . . . . . . .\n", - ". . . T T T . . . . . . . . . . . . . . .\n", - ". . . . . T . . . . . . . . . . . . . . .\n", - ". . . . . T . . . . . . . . . . . . . . .\n", - ". . . . . T T . . . . . . . . . . . . . .\n", - ". . . . . . T T T T T T . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . .\n", - ". . . . . . . . . . . T T T . . . . . . .\n", - ". . . . . . . . . . . . . T . . . . . . .\n", - ". . . . . . . . . . . . . T . . . . . . .\n", - ". . . . . . . . . . . . . T T . . . . . .\n", + "xxxx 11 20 u h f False\n", + "seq1 12 0 x ! w False\n", + "xxxx 12 1 x f z False\n", + "xxxx 12 2 x f y False\n", + "xxxx 12 3 x d b False\n", + "xxxx 12 4 x d u False\n", + "xxxx 12 5 x g d False\n", + "xxxx 12 6 x g w False\n", + "xxxx 12 7 x d u False\n", + "xxxx 12 8 x h w False\n", + "xxxx 12 9 x b u False\n", + "xxxx 12 10 x d g False\n", + "xxxx 12 11 x g c False\n", + "seq1 12 12 x c x True\n", + "xxxx 12 13 x b z False\n", + "xxxx 12 14 x a b False\n", + "xxxx 12 15 x a a False\n", + "xxxx 12 16 x f v False\n", + "xxxx 12 17 x f a False\n", + "xxxx 12 18 x c x False\n", + "xxxx 12 19 x a f False\n", + "xxxx 12 20 x h f False\n", + "seq1 13 0 z ! z False\n", + "xxxx 13 1 z f y False\n", + "xxxx 13 2 z f b False\n", + "xxxx 13 3 z d u False\n", + "xxxx 13 4 z d d False\n", + "xxxx 13 5 z g w False\n", + "xxxx 13 6 z g u False\n", + "xxxx 13 7 z d w False\n", + "xxxx 13 8 z h u False\n", + "xxxx 13 9 z b g False\n", + "xxxx 13 10 z d c False\n", + "xxxx 13 11 z g x False\n", + "seq1 13 12 z c z True\n", + "seq2 13 13 z b b True\n", + "seq2 13 14 z a a True\n", + "xxxx 13 15 z a v False\n", + "xxxx 13 16 z f a False\n", + "xxxx 13 17 z f x False\n", + "xxxx 13 18 z c f False\n", + "xxxx 13 19 z a f False\n", + "xxxx 13 20 z h v False\n", + "seq1 14 0 v ! y False\n", + "xxxx 14 1 v f b False\n", + "xxxx 14 2 v f u False\n", + "xxxx 14 3 v d d False\n", + "xxxx 14 4 v d w False\n", + "xxxx 14 5 v g u False\n", + "xxxx 14 6 v g w False\n", + "xxxx 14 7 v d u False\n", + "xxxx 14 8 v h g False\n", + "xxxx 14 9 v b c False\n", + "xxxx 14 10 v d x False\n", + "xxxx 14 11 v g z False\n", + "xxxx 14 12 v c b False\n", + "xxxx 14 13 v b a False\n", + "seq1 14 14 v a v True\n", + "seq2 14 15 v a a True\n", + "xxxx 14 16 v f x False\n", + "xxxx 14 17 v f f False\n", + "xxxx 14 18 v c f False\n", + "xxxx 14 19 v a v False\n", + "xxxx 14 20 v h c False\n", + "seq1 15 0 x ! b False\n", + "xxxx 15 1 x f u False\n", + "xxxx 15 2 x f d False\n", + "xxxx 15 3 x d w False\n", + "xxxx 15 4 x d u False\n", + "xxxx 15 5 x g w False\n", + "xxxx 15 6 x g u False\n", + "xxxx 15 7 x d g False\n", + "xxxx 15 8 x h c False\n", + "xxxx 15 9 x b x False\n", + "xxxx 15 10 x d z False\n", + "xxxx 15 11 x g b False\n", + "xxxx 15 12 x c a False\n", + "xxxx 15 13 x b v False\n", + "xxxx 15 14 x a a False\n", + "seq1 15 15 x a x True\n", + "seq2 15 16 x f f True\n", + "seq2 15 17 x f f True\n", + "xxxx 15 18 x c v False\n", + "xxxx 15 19 x a c False\n", + "xxxx 15 20 x h a False\n", + "seq1 16 0 v ! u False\n", + "xxxx 16 1 v f d False\n", + "xxxx 16 2 v f w False\n", + "xxxx 16 3 v d u False\n", + "xxxx 16 4 v d w False\n", + "xxxx 16 5 v g u False\n", + "xxxx 16 6 v g g False\n", + "xxxx 16 7 v d c False\n", + "xxxx 16 8 v h x False\n", + "xxxx 16 9 v b z False\n", + "xxxx 16 10 v d b False\n", + "xxxx 16 11 v g a False\n", + "xxxx 16 12 v c v False\n", + "xxxx 16 13 v b a False\n", + "xxxx 16 14 v a x False\n", + "xxxx 16 15 v a f False\n", + "xxxx 16 16 v f f False\n", + "seq1 16 17 v f v True\n", + "seq2 16 18 v c c True\n", + "seq2 16 19 v a a True\n", + "seq2 16 20 v h h True\n", + "seq1 17 0 v ! d False\n", + "xxxx 17 1 v f w False\n", + "xxxx 17 2 v f u False\n", + "xxxx 17 3 v d w False\n", + "xxxx 17 4 v d u False\n", + "xxxx 17 5 v g g False\n", + "xxxx 17 6 v g c False\n", + "xxxx 17 7 v d x False\n", + "xxxx 17 8 v h z False\n", + "xxxx 17 9 v b b False\n", + "xxxx 17 10 v d a False\n", + "xxxx 17 11 v g v False\n", + "xxxx 17 12 v c a False\n", + "xxxx 17 13 v b x False\n", + "xxxx 17 14 v a f False\n", + "xxxx 17 15 v a f False\n", + "xxxx 17 16 v f v False\n", + "xxxx 17 17 v f c False\n", + "xxxx 17 18 v c a False\n", + "xxxx 17 19 v a h False\n", + "seq1 17 20 v h v True\n", + "seq1 18 0 z ! w False\n", + "xxxx 18 1 z f u False\n", + "xxxx 18 2 z f w False\n", + "xxxx 18 3 z d u False\n", + "xxxx 18 4 z d g False\n", + "xxxx 18 5 z g c False\n", + "xxxx 18 6 z g x False\n", + "xxxx 18 7 z d z False\n", + "xxxx 18 8 z h b False\n", + "xxxx 18 9 z b a False\n", + "xxxx 18 10 z d v False\n", + "xxxx 18 11 z g a False\n", + "xxxx 18 12 z c x False\n", + "xxxx 18 13 z b f False\n", + "xxxx 18 14 z a f False\n", + "xxxx 18 15 z a v False\n", + "xxxx 18 16 z f c False\n", + "xxxx 18 17 z f a False\n", + "xxxx 18 18 z c h False\n", + "xxxx 18 19 z a v False\n", + "seq1 18 20 z h z True\n", + "seq1 19 0 x ! u False\n", + "xxxx 19 1 x f w False\n", + "xxxx 19 2 x f u False\n", + "xxxx 19 3 x d g False\n", + "xxxx 19 4 x d c False\n", + "xxxx 19 5 x g x False\n", + "xxxx 19 6 x g z False\n", + "xxxx 19 7 x d b False\n", + "xxxx 19 8 x h a False\n", + "xxxx 19 9 x b v False\n", + "xxxx 19 10 x d a False\n", + "xxxx 19 11 x g x False\n", + "xxxx 19 12 x c f False\n", + "xxxx 19 13 x b f False\n", + "xxxx 19 14 x a v False\n", + "xxxx 19 15 x a c False\n", + "xxxx 19 16 x f a False\n", + "xxxx 19 17 x f h False\n", + "xxxx 19 18 x c v False\n", + "xxxx 19 19 x a z False\n", + "seq1 19 20 x h x True\n", + "seq1 20 0 y ! w False\n", + "xxxx 20 1 y f u False\n", + "xxxx 20 2 y f g False\n", + "xxxx 20 3 y d c False\n", + "xxxx 20 4 y d x False\n", + "xxxx 20 5 y g z False\n", + "xxxx 20 6 y g b False\n", + "xxxx 20 7 y d a False\n", + "xxxx 20 8 y h v False\n", + "xxxx 20 9 y b a False\n", + "xxxx 20 10 y d x False\n", + "xxxx 20 11 y g f False\n", + "xxxx 20 12 y c f False\n", + "xxxx 20 13 y b v False\n", + "xxxx 20 14 y a c False\n", + "xxxx 20 15 y a a False\n", + "xxxx 20 16 y f h False\n", + "xxxx 20 17 y f v False\n", + "xxxx 20 18 y c z False\n", + "xxxx 20 19 y a x False\n", + "seq1 20 20 y h y True\n", + "T T T T . . . . . . . . . . . . . . . . .\n", + ". . . T T T T . . . . . . . . . . . . . .\n", + ". . . . . . T T . . . . . . . . . . . . .\n", + ". . . . . . . T T . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . .\n", + ". . . . . . . . T T . . . . . . . . . . .\n", + ". . . . . . . . . T T . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . .\n", + ". . . . . . . . . . T T T . . . . . . . .\n", + ". . . . . . . . . . . . T . . . . . . . .\n", + ". . . . . . . . . . . . T T T . . . . . .\n", ". . . . . . . . . . . . . . T T . . . . .\n", - ". . . . . . . . . . . . . . . T T T T T T\n" + ". . . . . . . . . . . . . . . T T T . . .\n", + ". . . . . . . . . . . . . . . . . T T T T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . T\n" ] } ], @@ -1277,18 +1261,16 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, + "execution_count": 23, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "'gWXUZfZXhUabYUWgUggfggWYWYaeZXXfYbXfcbab'" + "'ffdVdggVdZhWZYbUdWUWUgcXZbaVaXffVcahVZXY'" ] }, - "execution_count": 22, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -1299,37 +1281,35 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, + "execution_count": 24, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "T T . . . . . . . . . . . . . . . . . . .\n", - ". T . . . . . . . . . . . . . . . . . . .\n", - ". T . . . . . . . . . . . . . . . . . . .\n", - ". T . . . . . . . . . . . . . . . . . . .\n", - ". T T . . . . . . . . . . . . . . . . . .\n", - ". . T . . . . . . . . . . . . . . . . . .\n", - ". . T T . . . . . . . . . . . . . . . . .\n", - ". . . T T T . . . . . . . . . . . . . . .\n", - ". . . . . T . . . . . . . . . . . . . . .\n", - ". . . . . T . . . . . . . . . . . . . . .\n", - ". . . . . T T . . . . . . . . . . . . . .\n", - ". . . . . . T T T T T T . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . .\n", - ". . . . . . . . . . . T T T . . . . . . .\n", - ". . . . . . . . . . . . . T . . . . . . .\n", - ". . . . . . . . . . . . . T . . . . . . .\n", - ". . . . . . . . . . . . . T T . . . . . .\n", + "T T T T . . . . . . . . . . . . . . . . .\n", + ". . . T T T T . . . . . . . . . . . . . .\n", + ". . . . . . T T . . . . . . . . . . . . .\n", + ". . . . . . . T T . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . .\n", + ". . . . . . . . T T . . . . . . . . . . .\n", + ". . . . . . . . . T T . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . .\n", + ". . . . . . . . . . T T T . . . . . . . .\n", + ". . . . . . . . . . . . T . . . . . . . .\n", + ". . . . . . . . . . . . T T T . . . . . .\n", ". . . . . . . . . . . . . . T T . . . . .\n", - ". . . . . . . . . . . . . . . T T T T T T\n", - "gWXUZfZXhUabYUWgUggfggWYWYaeZXXfYbXfcbab\n" + ". . . . . . . . . . . . . . . T T T . . .\n", + ". . . . . . . . . . . . . . . . . T T T T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . T\n", + "ffdVdggVdZhWZYbUdWUWUgcXZbaVaXffVcahVZXY\n" ] }, { @@ -1338,7 +1318,7 @@ "True" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -1352,21 +1332,19 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, + "execution_count": 25, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "('dcgegfedbddhhbgafhbgggcdhgbhbhghbfddbedcacbdhbafbg',\n", - " 'bbbahedbceeebafgghffehgbeacgfcbhccffcacccfacgegcfc',\n", - " 'dcgbbbegfeadhbedddbceheebahfbgaggfhhbgggfcdfhehggbbhbheghbfdadcgbfecbhdccacfcbdhfcabcaccffbgacgegcfc',\n", + "('fcbhdfdbgebhgbgbcbhceagfbfhedffbbbehbfbbgedbacecdg',\n", + " 'dfbgbebeggbcdahfbddbfcgcehhffhgfhdfffbeedgcghhhaga',\n", + " 'dfbfcbghbedbfedbggbcdgeahfbhbdgbgbcdbbfcghcehceahgfbffhgfhfedhdfffffbebbbedehgbfcbghbghehdbaacgecadg',\n", " 100)" ] }, - "execution_count": 24, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1380,67 +1358,65 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, + "execution_count": 26, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ + "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", "T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . T . T T T . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", - "dcgBBBegfeAdHbEddDBCEhEEBAhFbgaGGfhHbgggFcdFhEHgGbBhbhEghbfdAdCGbFeCBHdcCaCFcbdhFCAbCaCCfFbgACGEGCFC\n" + ". . . . . . . . . . . . . . . . . . . . . . . . . T . T T T . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . T T . . T . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T\n", + "DFBfcbGhBEdBfEdbGGBCDgeAHFbhBDgbgbcDbBFCGhCEHceaHgfbFFHGfhFedHDffFFFBEbbbEDehGbfCbGHbgHeHdbaAcGecAdg\n" ] }, { @@ -1449,7 +1425,7 @@ "True" ] }, - "execution_count": 25, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1463,16 +1439,14 @@ }, { "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, + "execution_count": 27, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "100 loops, best of 3: 1.77 ms per loop\n" + "1000 loops, best of 3: 1.29 ms per loop\n" ] } ], @@ -1483,67 +1457,65 @@ }, { "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, + "execution_count": 28, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", "T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". T . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . T T . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . T . . T . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . T . . T . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T T . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . T . T . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . T T . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . .\n", - ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T T T T\n", - "DCGbbbEGFEaDhBedDDbceHeebaHfBGAggFhHBGGGfCDfHehgGbBHBHeGHBFDaDcgBfEcbhDcCAcfCBDHfcaBcAccfFBGacgegcfc\n" + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n", + "dfbFCBgHbeDbFeDBggbcdGEahfBHbdGBGBCdbBfcgHcehCEAhGFBffhgFHfEDhdfffFFbeBBBedEHgBFcBghBGhEhDBaACgECaDG\n" ] }, { @@ -1552,7 +1524,7 @@ "True" ] }, - "execution_count": 27, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -1566,10 +1538,8 @@ }, { "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, + "execution_count": 29, + "metadata": {}, "outputs": [ { "data": { @@ -1577,7 +1547,7 @@ "True" ] }, - "execution_count": 28, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -1588,18 +1558,16 @@ }, { "cell_type": "code", - "execution_count": 29, - "metadata": { - "collapsed": false - }, + "execution_count": 30, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "('aebeedbbfabfbddehbagecgaadbbedaedghchdaghhaghedhbe', False, False)" + "('dbgdadhhhhacehhbdfdcffdghcahbbceegebbfhabafecadhhe', False, False)" ] }, - "execution_count": 29, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -1611,19 +1579,15 @@ }, { "cell_type": "code", - "execution_count": 30, - "metadata": { - "collapsed": false - }, + "execution_count": 31, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", @@ -1671,7 +1635,9 @@ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", - "DCG\n" + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n", + "dFb\n" ] }, { @@ -1680,7 +1646,7 @@ "False" ] }, - "execution_count": 30, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -1694,7 +1660,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 32, "metadata": { "collapsed": true }, @@ -1718,64 +1684,309 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "s1 = make_string(500)\n", - "s2 = make_string(500)\n", - "s3 = make_string(500)\n", - "s12 = interleave(s1, s2)\n", - "s23 = interleave(s2, s3)" + "import uuid" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "metadata": { - "collapsed": false + "collapsed": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "is_interleave_recursive(s1, s2, s12)" + "def is_subseq_recursive_dot(s1, s2):\n", + " node_id = uuid.uuid4().hex\n", + " node_string = 'n{} [label=\"{}\\\\n{}\"];'.format(node_id, s1, s2)\n", + "# print(s1, s2, node_string)\n", + " if not s1:\n", + " return node_id, ['n{} [label=\"-\\\\n{}\\\\nTrue\"];'.format(node_id, s2)]\n", + " elif len(s1) > len(s2):\n", + " return node_id, ['n{} [label=\"{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2)]\n", + " else:\n", + " if s1[-1] == s2[-1]:\n", + " node1_id, node1_graph = is_subseq_recursive_dot(s1[:-1], s2[:-1])\n", + " node2_id, node2_graph = is_subseq_recursive_dot(s1, s2[:-1])\n", + " return node_id, ([node_string, \n", + " 'n{} -> n{};'.format(node_id, node1_id), \n", + " 'n{} -> n{};'.format(node_id, node2_id)] + \n", + " node1_graph + node2_graph)\n", + " else:\n", + " node1_id, node1_graph = is_subseq_recursive_dot(s1, s2[:-1])\n", + " return node_id, ([node_string, \n", + " 'n{} -> n{};'.format(node_id, node1_id)] + \n", + " node1_graph)" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 69, "metadata": { - "collapsed": false + "collapsed": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "False" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "is_interleave_recursive(s1, s2, s23)" - ] - }, - { + "def is_interleave_recursive_dot(s1, s2, s3):\n", + " \n", + "# print(s1, s2, s3)\n", + " node_id = uuid.uuid4().hex\n", + " node_string = 'n{} [label=\"{}\\\\n{}\\\\n{}\"];'.format(node_id, s1, s2, s3)\n", + "\n", + " if not s1:\n", + " if s2 == s3:\n", + " return node_id, ['n{} [label=\"-\\\\n{}\\\\n{}\\\\nTrue\"];'.format(node_id, s2, s3)]\n", + " else:\n", + " return node_id, ['n{} [label=\"-\\\\n{}\\\\n{}\\\\nFalse\"];'.format(node_id, s2, s3)]\n", + " elif not s2:\n", + " if s1 == s3:\n", + " return node_id, ['n{} [label=\"{}\\\\n-\\\\n{}\\\\nTrue\"];'.format(node_id, s1, s3)]\n", + " else:\n", + " return node_id, ['n{} [label=\"{}\\\\n-\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s3)]\n", + " else:\n", + " if s1[-1] == s2[-1] and s1[-1] == s3[-1]:\n", + " node1_id, node1_graph = is_interleave_recursive_dot(s1[:-1], s2, s3[:-1])\n", + " node2_id, node2_graph = is_interleave_recursive_dot(s1, s2[:-1], s3[:-1])\n", + " return node_id, ([node_string, \n", + " 'n{} -> n{};'.format(node_id, node1_id), \n", + " 'n{} -> n{};'.format(node_id, node2_id)] + \n", + " node1_graph + node2_graph)\n", + " elif s1[-1] == s3[-1]:\n", + " node1_id, node1_graph = is_interleave_recursive_dot(s1[:-1], s2, s3[:-1])\n", + " return node_id, ([node_string, \n", + " 'n{} -> n{};'.format(node_id, node1_id)] + \n", + " node1_graph)\n", + " elif s2[-1] == s3[-1]:\n", + " node1_id, node1_graph = is_interleave_recursive_dot(s1, s2[:-1], s3[:-1])\n", + " return node_id, ([node_string, \n", + " 'n{} -> n{};'.format(node_id, node1_id)] + \n", + " node1_graph)\n", + " else:\n", + " return node_id, ['n{} [label=\"{}\\\\n{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2, s3)]" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "s1 = \"aabcc\"\n", + "s2 = \"dbbca\"\n", + "\n", + "s3t = \"aadbbcbcac\"\n", + "s3f = \"aadbbbaccc\"" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n825af3fb1bf441a3b97d8fbfcdce6f3d [label=\"aabcc\\ndbbca\\naadbbcbcac\"];\n", + "n825af3fb1bf441a3b97d8fbfcdce6f3d -> n944a00ca9b134f3c98aeef34526ff17d;\n", + "n944a00ca9b134f3c98aeef34526ff17d [label=\"aabc\\ndbbca\\naadbbcbca\"];\n", + "n944a00ca9b134f3c98aeef34526ff17d -> n1586862dcfb74b1a9e9f964b7de102ef;\n", + "n1586862dcfb74b1a9e9f964b7de102ef [label=\"aabc\\ndbbc\\naadbbcbc\"];\n", + "n1586862dcfb74b1a9e9f964b7de102ef -> nf59278631d8047e7b0cca670e412297b;\n", + "n1586862dcfb74b1a9e9f964b7de102ef -> nd83e9c32d1fa43bab45dc21d46830924;\n", + "nf59278631d8047e7b0cca670e412297b [label=\"aab\\ndbbc\\naadbbcb\"];\n", + "nf59278631d8047e7b0cca670e412297b -> nb0424588e9354d2aa61b587a7edfb7f6;\n", + "nb0424588e9354d2aa61b587a7edfb7f6 [label=\"aa\\ndbbc\\naadbbc\"];\n", + "nb0424588e9354d2aa61b587a7edfb7f6 -> nb73d85cfb09e43d692de22a49de48b35;\n", + "nb73d85cfb09e43d692de22a49de48b35 [label=\"aa\\ndbb\\naadbb\"];\n", + "nb73d85cfb09e43d692de22a49de48b35 -> n9e34f866ae1746d797cebd4e1fc73af9;\n", + "n9e34f866ae1746d797cebd4e1fc73af9 [label=\"aa\\ndb\\naadb\"];\n", + "n9e34f866ae1746d797cebd4e1fc73af9 -> n5c7027bfea9f494894cea01fd5e25387;\n", + "n5c7027bfea9f494894cea01fd5e25387 [label=\"aa\\nd\\naad\"];\n", + "n5c7027bfea9f494894cea01fd5e25387 -> n650da0feb2624011a20e209bada2445c;\n", + "n650da0feb2624011a20e209bada2445c [label=\"aa\\n-\\naa\\nTrue\"];\n", + "nd83e9c32d1fa43bab45dc21d46830924 [label=\"aabc\\ndbb\\naadbbcb\"];\n", + "nd83e9c32d1fa43bab45dc21d46830924 -> n1c4772b660f24d6da9194d16be602b3a;\n", + "n1c4772b660f24d6da9194d16be602b3a [label=\"aabc\\ndb\\naadbbc\"];\n", + "n1c4772b660f24d6da9194d16be602b3a -> n0393745322e447c79515cffb4afc4d5b;\n", + "n0393745322e447c79515cffb4afc4d5b [label=\"aab\\ndb\\naadbb\"];\n", + "n0393745322e447c79515cffb4afc4d5b -> na9ae42f3b7dd415886e78bb960b94184;\n", + "n0393745322e447c79515cffb4afc4d5b -> nccaf23a4e311415cbe42bedd8a3727c2;\n", + "na9ae42f3b7dd415886e78bb960b94184 [label=\"aa\\ndb\\naadb\"];\n", + "na9ae42f3b7dd415886e78bb960b94184 -> nab2d4f76a75c4c6686166212cad4b4a3;\n", + "nab2d4f76a75c4c6686166212cad4b4a3 [label=\"aa\\nd\\naad\"];\n", + "nab2d4f76a75c4c6686166212cad4b4a3 -> nee8a56cc920943e0a2593a8ee863c53c;\n", + "nee8a56cc920943e0a2593a8ee863c53c [label=\"aa\\n-\\naa\\nTrue\"];\n", + "nccaf23a4e311415cbe42bedd8a3727c2 [label=\"aab\\nd\\naadb\"];\n", + "nccaf23a4e311415cbe42bedd8a3727c2 -> ne1d3cf2b04074c10986fdefb464e5da8;\n", + "ne1d3cf2b04074c10986fdefb464e5da8 [label=\"aa\\nd\\naad\"];\n", + "ne1d3cf2b04074c10986fdefb464e5da8 -> n9091b74bc8a64b91a9e75aef6b016a64;\n", + "n9091b74bc8a64b91a9e75aef6b016a64 [label=\"aa\\n-\\naa\\nTrue\"];\n" + ] + } + ], + "source": [ + "root, graph = is_interleave_recursive_dot(s1, s2, s3t)\n", + "print('\\n'.join(graph))" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n894a2781e978478699af2875308ec4ad [label=\"aaa\\naaa\\naaaaaa\"];\n", + "n894a2781e978478699af2875308ec4ad -> n863e03f8030547bf9f4e7a4815c4e027;\n", + "n894a2781e978478699af2875308ec4ad -> n4c492e6eb94741d2b11567b1b4c729fa;\n", + "n863e03f8030547bf9f4e7a4815c4e027 [label=\"aa\\naaa\\naaaaa\"];\n", + "n863e03f8030547bf9f4e7a4815c4e027 -> n8f044087a7324ef69d5cf2ae120c0902;\n", + "n863e03f8030547bf9f4e7a4815c4e027 -> n5510c6a96018480ba0fc2315d34a69e6;\n", + "n8f044087a7324ef69d5cf2ae120c0902 [label=\"a\\naaa\\naaaa\"];\n", + "n8f044087a7324ef69d5cf2ae120c0902 -> n6f3153ef68384ebbbe5860a48c774d55;\n", + "n8f044087a7324ef69d5cf2ae120c0902 -> n4d068ce52cf248adb3b537805a233dda;\n", + "n6f3153ef68384ebbbe5860a48c774d55 [label=\"-\\naaa\\naaa\\nTrue\"];\n", + "n4d068ce52cf248adb3b537805a233dda [label=\"a\\naa\\naaa\"];\n", + "n4d068ce52cf248adb3b537805a233dda -> nb85aee31625f4998b596d9b6ea3b77fd;\n", + "n4d068ce52cf248adb3b537805a233dda -> nec2837ce384246ffb06e3d4090adfb37;\n", + "nb85aee31625f4998b596d9b6ea3b77fd [label=\"-\\naa\\naa\\nTrue\"];\n", + "nec2837ce384246ffb06e3d4090adfb37 [label=\"a\\na\\naa\"];\n", + "nec2837ce384246ffb06e3d4090adfb37 -> n9c395901af2d4e67a7e5a370f759bce6;\n", + "nec2837ce384246ffb06e3d4090adfb37 -> nff84b0c784744901afb3ac8a5aef3c23;\n", + "n9c395901af2d4e67a7e5a370f759bce6 [label=\"-\\na\\na\\nTrue\"];\n", + "nff84b0c784744901afb3ac8a5aef3c23 [label=\"a\\n-\\na\\nTrue\"];\n", + "n5510c6a96018480ba0fc2315d34a69e6 [label=\"aa\\naa\\naaaa\"];\n", + "n5510c6a96018480ba0fc2315d34a69e6 -> n5eaaabd1caef4c3f8f6607a8bb254906;\n", + "n5510c6a96018480ba0fc2315d34a69e6 -> n6041081af67d4f57968572aa2051d1bc;\n", + "n5eaaabd1caef4c3f8f6607a8bb254906 [label=\"a\\naa\\naaa\"];\n", + "n5eaaabd1caef4c3f8f6607a8bb254906 -> n6dd23a9ed026429fb57cbf94e6283364;\n", + "n5eaaabd1caef4c3f8f6607a8bb254906 -> n3042bda75e7c4d8f8a9ccc464f0ba724;\n", + "n6dd23a9ed026429fb57cbf94e6283364 [label=\"-\\naa\\naa\\nTrue\"];\n", + "n3042bda75e7c4d8f8a9ccc464f0ba724 [label=\"a\\na\\naa\"];\n", + "n3042bda75e7c4d8f8a9ccc464f0ba724 -> n5e702eeee87042deb3157b6663b1f07a;\n", + "n3042bda75e7c4d8f8a9ccc464f0ba724 -> n37928d6516f942008c5e89b5c37098ee;\n", + "n5e702eeee87042deb3157b6663b1f07a [label=\"-\\na\\na\\nTrue\"];\n", + "n37928d6516f942008c5e89b5c37098ee [label=\"a\\n-\\na\\nTrue\"];\n", + "n6041081af67d4f57968572aa2051d1bc [label=\"aa\\na\\naaa\"];\n", + "n6041081af67d4f57968572aa2051d1bc -> nbb96e07d3c89450cb92ad725f6fc4845;\n", + "n6041081af67d4f57968572aa2051d1bc -> n0dbe764d7e4a429298f2d3583e8c84b1;\n", + "nbb96e07d3c89450cb92ad725f6fc4845 [label=\"a\\na\\naa\"];\n", + "nbb96e07d3c89450cb92ad725f6fc4845 -> nbe5a7be2ec824370a293e7aa8f3a5467;\n", + "nbb96e07d3c89450cb92ad725f6fc4845 -> ndc15a7d84b734bb793055e4712a82d5c;\n", + "nbe5a7be2ec824370a293e7aa8f3a5467 [label=\"-\\na\\na\\nTrue\"];\n", + "ndc15a7d84b734bb793055e4712a82d5c [label=\"a\\n-\\na\\nTrue\"];\n", + "n0dbe764d7e4a429298f2d3583e8c84b1 [label=\"aa\\n-\\naa\\nTrue\"];\n", + "n4c492e6eb94741d2b11567b1b4c729fa [label=\"aaa\\naa\\naaaaa\"];\n", + "n4c492e6eb94741d2b11567b1b4c729fa -> n0e78dd2900a34a7297cc0ea2bb27e30c;\n", + "n4c492e6eb94741d2b11567b1b4c729fa -> nc18fe2c53e9e4209a9af9c0678465b1f;\n", + "n0e78dd2900a34a7297cc0ea2bb27e30c [label=\"aa\\naa\\naaaa\"];\n", + "n0e78dd2900a34a7297cc0ea2bb27e30c -> n1b98c16a65994faaa980d9c530383c77;\n", + "n0e78dd2900a34a7297cc0ea2bb27e30c -> n33dbe313802045f8895d0e904d588881;\n", + "n1b98c16a65994faaa980d9c530383c77 [label=\"a\\naa\\naaa\"];\n", + "n1b98c16a65994faaa980d9c530383c77 -> n5e7c6dff46ff49f7903eb543c02fa22b;\n", + "n1b98c16a65994faaa980d9c530383c77 -> n33391a1fab3849cf9823ccc7396aa7d4;\n", + "n5e7c6dff46ff49f7903eb543c02fa22b [label=\"-\\naa\\naa\\nTrue\"];\n", + "n33391a1fab3849cf9823ccc7396aa7d4 [label=\"a\\na\\naa\"];\n", + "n33391a1fab3849cf9823ccc7396aa7d4 -> n13b4732016804c3986853f6d2fe4a28b;\n", + "n33391a1fab3849cf9823ccc7396aa7d4 -> n767be985e5a5469da7cfeea0272705b3;\n", + "n13b4732016804c3986853f6d2fe4a28b [label=\"-\\na\\na\\nTrue\"];\n", + "n767be985e5a5469da7cfeea0272705b3 [label=\"a\\n-\\na\\nTrue\"];\n", + "n33dbe313802045f8895d0e904d588881 [label=\"aa\\na\\naaa\"];\n", + "n33dbe313802045f8895d0e904d588881 -> nf59143762fc643f0bd58507b5097b837;\n", + "n33dbe313802045f8895d0e904d588881 -> n30d968450bf147b68a8d7df49177722c;\n", + "nf59143762fc643f0bd58507b5097b837 [label=\"a\\na\\naa\"];\n", + "nf59143762fc643f0bd58507b5097b837 -> ncd2168bdc52c459d821427219fb885d1;\n", + "nf59143762fc643f0bd58507b5097b837 -> nc6011f3f746f425ab01fd89e1f17cbb4;\n", + "ncd2168bdc52c459d821427219fb885d1 [label=\"-\\na\\na\\nTrue\"];\n", + "nc6011f3f746f425ab01fd89e1f17cbb4 [label=\"a\\n-\\na\\nTrue\"];\n", + "n30d968450bf147b68a8d7df49177722c [label=\"aa\\n-\\naa\\nTrue\"];\n", + "nc18fe2c53e9e4209a9af9c0678465b1f [label=\"aaa\\na\\naaaa\"];\n", + "nc18fe2c53e9e4209a9af9c0678465b1f -> n38a7aa8aab21444d8b9d50ca71871b7e;\n", + "nc18fe2c53e9e4209a9af9c0678465b1f -> n1ec1cf69ce3c4798b305338648a6e46b;\n", + "n38a7aa8aab21444d8b9d50ca71871b7e [label=\"aa\\na\\naaa\"];\n", + "n38a7aa8aab21444d8b9d50ca71871b7e -> nad5433a86522484e85d560ac7d202b3d;\n", + "n38a7aa8aab21444d8b9d50ca71871b7e -> n6bfb83c32f9e46a19e9408fc087e74ae;\n", + "nad5433a86522484e85d560ac7d202b3d [label=\"a\\na\\naa\"];\n", + "nad5433a86522484e85d560ac7d202b3d -> n292f0206736a40ac8f6045ac0d8a0a07;\n", + "nad5433a86522484e85d560ac7d202b3d -> n07c65e03d3bd473f97579a2c63f922c7;\n", + "n292f0206736a40ac8f6045ac0d8a0a07 [label=\"-\\na\\na\\nTrue\"];\n", + "n07c65e03d3bd473f97579a2c63f922c7 [label=\"a\\n-\\na\\nTrue\"];\n", + "n6bfb83c32f9e46a19e9408fc087e74ae [label=\"aa\\n-\\naa\\nTrue\"];\n", + "n1ec1cf69ce3c4798b305338648a6e46b [label=\"aaa\\n-\\naaa\\nTrue\"];\n" + ] + } + ], + "source": [ + "root, graph = is_interleave_recursive_dot('aaa', 'aaa', 'aaaaaa')\n", + "print('\\n'.join(graph))" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "s1 = make_string(500)\n", + "s2 = make_string(500)\n", + "s3 = make_string(500)\n", + "s12 = interleave(s1, s2)\n", + "s23 = interleave(s2, s3)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "is_interleave_recursive(s1, s2, s12)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "is_interleave_recursive(s1, s2, s23)" + ] + }, + { "cell_type": "markdown", "metadata": {}, "source": [ @@ -1784,7 +1995,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 38, "metadata": { "collapsed": true }, @@ -1797,7 +2008,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 39, "metadata": { "collapsed": true }, @@ -1823,18 +2034,29 @@ }, { "cell_type": "code", - "execution_count": 37, - "metadata": { - "collapsed": false - }, + "execution_count": 40, + "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0: baddacaddb\n", + "1: bcccacbacb\n", + "2: cdcddbcccacbacbaabcc\n", + "3: cdccdbadcaacbbcccaac\n", + "4: bbacccdacdacadbdbacb\n", + "5: cbaccbbcadadaaccaddb\n", + "6: cbaccbcaac\n" + ] + }, { "data": { "text/plain": [ - "('badbabcddb', 'dcaacccbaa', 'bdacaacccdbbabacdadb', 20)" + "['bbacccdacdacadbdbacb']" ] }, - "execution_count": 37, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -1843,35 +2065,39 @@ "s1 = make_string(10, alphabet='abcd')\n", "s2 = make_string(10, alphabet='abcd')\n", "s3 = make_string(10, alphabet='abcd')\n", + "s4 = make_string(10, alphabet='abcd')\n", "il = interleave(s1, s2)\n", - "s1, s2, il, len(il)" + "bs = [s3, il, interleave(s3, s4), interleave(s2, s4), interleave(s1, s3)]\n", + "random.shuffle(bs)\n", + "bs = [s1, s2] + bs\n", + "tg = [l for l in bs if is_interleave(s1, s2, l)]\n", + "print('\\n'.join(['{}: {}'.format(i, s) for i, s in enumerate(bs)]))\n", + "tg" ] }, { "cell_type": "code", - "execution_count": 38, - "metadata": { - "collapsed": false - }, + "execution_count": 41, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "* . . . . . . . . . .\n", - "b d . . . . . . . . .\n", - ". a c a a c c c . . .\n", - ". . . . . . . d b . .\n", - ". . . . . . . b b a .\n", - ". . . . . . . . a . .\n", - ". . . . . . . . b a .\n", - ". . . . . . . . . c .\n", - ". . . . . . . . . d a\n", - ". . . . . . . . . . d\n", - ". . . . . . . . . . b\n", - "BdAcaacccDbBABaCDaDB\n", - "bdacaacccdbbabacdadb\n", - "* * * *** ** **\n" + "* b . . . . . . . . .\n", + "b b . . . . . . . . .\n", + ". a c c c . . . . . .\n", + ". . . . d a c . . . .\n", + ". . . . . . d . . . .\n", + ". . . . . . a . . . .\n", + ". . . . . . c . . . .\n", + ". . . . . . a . . . .\n", + ". . . . . . d b . . .\n", + ". . . . . . . d . . .\n", + ". . . . . . . b a c b\n", + "bBAcccDacDACADbDBacb\n", + "bbacccdacdacadbdbacb\n", + " ** * ***** ** \n" ] }, { @@ -1880,7 +2106,7 @@ "True" ] }, - "execution_count": 38, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" } @@ -1895,29 +2121,58 @@ }, { "cell_type": "code", - "execution_count": 39, - "metadata": { - "collapsed": false - }, + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cbaccbbcadadaaccaddb\n", + " * ** * * *****\n" + ] + }, + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ind = [i for i, b in enumerate(bs) if is_interleave(s1, s3, b)][0]\n", + "v, bp = is_interleave(s1, s3, bs[ind], return_backpointers=True)\n", + "print(show_backtrace_star(bp))\n", + "ind" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "* b . . . . . . . . .\n", - ". d a . . . . . . . .\n", - ". . c . . . . . . . .\n", - ". . a . . . . . . . .\n", - ". . a . . . . . . . .\n", + "b b a . . . . . . . .\n", ". . c . . . . . . . .\n", ". . c . . . . . . . .\n", - ". . c d b . . . . . .\n", - ". . . b b a b . . . .\n", - ". . . . a . a c d . .\n", - ". . . . . . . . a d b\n", - "bDaCAACCCdbBabAcdAdb\n", - "bdacaacccdbbabacdadb\n", - " * ****** * * * \n" + ". . c d . . . . . . .\n", + ". . . a . . . . . . .\n", + ". . . c d a c a d . .\n", + ". . . . . . . . b d b\n", + ". . . . . . . . . . a\n", + ". . . . . . . . . . c\n", + ". . . . . . . . . . b\n", + "bBaCCCdACdacadBdbACB\n", + "bbacccdacdacadbdbacb\n", + " * *** ** * ***\n" ] }, { @@ -1926,7 +2181,7 @@ "True" ] }, - "execution_count": 39, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" } @@ -1941,10 +2196,8 @@ }, { "cell_type": "code", - "execution_count": 40, - "metadata": { - "collapsed": false - }, + "execution_count": 44, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1972,7 +2225,7 @@ "False" ] }, - "execution_count": 40, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } @@ -1987,16 +2240,15 @@ }, { "cell_type": "code", - "execution_count": 41, - "metadata": { - "collapsed": false - }, + "execution_count": 45, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "* . . . . . . . . . .\n", + "b . . . . . . . . . .\n", ". . . . . . . . . . .\n", ". . . . . . . . . . .\n", ". . . . . . . . . . .\n", @@ -2006,9 +2258,9 @@ ". . . . . . . . . . .\n", ". . . . . . . . . . .\n", ". . . . . . . . . . .\n", - ". . . . . . . . . . .\n", - "\n", - "\n" + "B\n", + "b\n", + "*\n" ] }, { @@ -2017,7 +2269,7 @@ "False" ] }, - "execution_count": 41, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -2036,14 +2288,26 @@ "collapsed": true }, "source": [ - "# Make puzzle data" + "# Make puzzle data\n", + "\n", + "## Note to self\n", + "Include some distractors in the test set, such that:\n", + "* subsequence(my_bill, distractor) is true\n", + "* subsequence(friend_bill, distractor) is true\n", + "* interleave(my_bill, friend_bill, distractor) is false\n", + "\n", + "(i.e. characters are shared between my_bill and friend_bill)\n", + "\n", + "Students are taking a greedy approach to subsequence, and saying the interleave is true if both bills are subsequences of the distractor.\n", + "\n", + "i.e. \"aaa\" and \"aab\" are both subsequences of \"aaabbb\", but cannot be interleaved to form \"aaabbb\".\n" ] }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 46, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -2052,7 +2316,7 @@ "other_bills = [make_string(200) for _ in range(98)]\n", "\n", "target_interleaved = interleave(my_bill, friend_bill)\n", - "mine_interleaved = [interleave(my_bill, o) for o in random.sample(other_bills, 24)]\n", + "mine_interleaved = [interleave(my_bill, o) for o in random.sample(other_bills, 21)]\n", "friend_interleaved = [interleave(friend_bill, o) for o in random.sample(other_bills, 13)]\n", "other_interleaved = []\n", "for _ in range(103):\n", @@ -2062,9 +2326,9 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 47, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -2073,17 +2337,15 @@ }, { "cell_type": "code", - "execution_count": 60, - "metadata": { - "collapsed": false - }, + "execution_count": 48, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 4.55 s, sys: 4 ms, total: 4.56 s\n", - "Wall time: 4.56 s\n" + "CPU times: user 2.96 s, sys: 4 ms, total: 2.97 s\n", + "Wall time: 2.97 s\n" ] }, { @@ -2092,7 +2354,7 @@ "[0]" ] }, - "execution_count": 60, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -2103,17 +2365,15 @@ }, { "cell_type": "code", - "execution_count": 61, - "metadata": { - "collapsed": false - }, + "execution_count": 49, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1.03 s, sys: 4 ms, total: 1.04 s\n", - "Wall time: 1.03 s\n" + "CPU times: user 660 ms, sys: 0 ns, total: 660 ms\n", + "Wall time: 658 ms\n" ] }, { @@ -2122,7 +2382,7 @@ "[0]" ] }, - "execution_count": 61, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -2133,7 +2393,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 50, "metadata": { "collapsed": true }, @@ -2143,9 +2403,211 @@ "random.shuffle(bill_set)\n", "bill_set = [my_bill, friend_bill] + bill_set\n", "\n", - "with open('09-bills.txt', 'w') as f:\n", - " for i, b in enumerate(bill_set):\n", - " f.write('{}: {}\\n'.format(i, b))\n" + "# with open('09-bills.txt', 'w') as f:\n", + "# for i, b in enumerate(bill_set):\n", + "# f.write('{}: {}\\n'.format(i, b))" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def is_subseq_greedy(s1, s2):\n", + " i = j = 0\n", + " while i < len(s1) and j < len(s2):\n", + " if s1[i] == s2[j]:\n", + " i += 1\n", + " j += 1\n", + " return i == len(s1)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def subseq_partition(s1, s2):\n", + " i = j = 0\n", + " remainder = ''\n", + " while i < len(s1) and j < len(s2):\n", + " if s1[i] == s2[j]:\n", + " i += 1\n", + " else:\n", + " remainder += s2[j]\n", + " j += 1\n", + " return i == len(s1), remainder" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(40, 40, 20, 20)" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "common = make_string(10)\n", + "padding = make_string(10)\n", + "middle = interleave(common, padding)\n", + "\n", + "pre1 = make_string(5)\n", + "suf1 = make_string(5)\n", + "\n", + "pre2 = make_string(5)\n", + "suf2 = make_string(5)\n", + "\n", + "pre = interleave(pre1, pre2)\n", + "suf = interleave(suf1, suf2)\n", + "\n", + "distractor = pre + middle + suf\n", + "\n", + "sub1 = pre1 + common + suf1\n", + "sub2 = pre2 + common + suf2\n", + "\n", + "valid = interleave(sub1, sub2)\n", + "\n", + "len(distractor), len(valid), len(sub1), len(sub2)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(True, True)" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "is_subseq_greedy(sub1, distractor), is_subseq_greedy(sub2, distractor)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(True, True)" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "is_subseq_greedy(sub1, valid), is_subseq_greedy(sub2, valid)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(False, True)" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "is_interleave(sub1, sub2, distractor), is_interleave(sub1, sub2, valid)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "('echgeaeeefdcebeaahaf',\n", + " 'eeahaaeeefdcebedghbg',\n", + " 'eeecahahgeaaeeebafaadgceadabefdaghbgahaf',\n", + " 'eecheagehaaaeeeeeefdcebefadahcaebfedghbg')" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sub1, sub2, distractor, valid" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a, b = subseq_partition(sub1, distractor)\n", + "b == sub2" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "('eeahaaeeefdceb', 'eeahaaeeefdcebedghbg')" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a, b = subseq_partition(sub1, valid)\n", + "b, sub2" ] }, { @@ -2174,7 +2636,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.2" + "version": "3.5.2+" } }, "nbformat": 4,