09-resolving-the-bill/subsequence.ipynb

   1 {
   2  "cells": [
   3   {
   4    "cell_type": "markdown",
   5    "metadata": {},
   6    "source": [
   7     "# Subsequence strings\n",
   8     "\n",
   9     "Given two strings `a` and `b`, is `a` a subsequence of `b`?\n",
  10     "\n",
  11     "For example,\n",
  12     "Given:\n",
  13     "a = \"aabcc\",\n",
  14     "b = \"dabaabcacb\",\n",
  15     "\n",
  16     "return True : dAbAaBCaCb\n",
  17     "\n"
  18    ]
  19   },
  20   {
  21    "cell_type": "code",
  22    "execution_count": 1,
  23    "metadata": {
  24     "collapsed": true
  25    },
  26    "outputs": [],
  27    "source": [
  28     "import random"
  29    ]
  30   },
  31   {
  32    "cell_type": "code",
  33    "execution_count": 55,
  34    "metadata": {
  35     "collapsed": true
  36    },
  37    "outputs": [],
  38    "source": [
  39     "s1 = \"aabcc\"\n",
  40     "s2t = \"dabaabcacb\"\n",
  41     "s2f = \"dabacc\"\n",
  42     "\n",
  43     "s2 = s2t"
  44    ]
  45   },
  46   {
  47    "cell_type": "markdown",
  48    "metadata": {},
  49    "source": [
  50     "`dp_table[i, j]` is True if first `i` characters of `s1` can be found in first `j` characters of `s2`."
  51    ]
  52   },
  53   {
  54    "cell_type": "code",
  55    "execution_count": 3,
  56    "metadata": {
  57     "scrolled": true
  58    },
  59    "outputs": [
  60     {
  61      "data": {
  62       "text/plain": [
  63        "{(0, 0): False,\n",
  64        " (0, 1): False,\n",
  65        " (0, 2): False,\n",
  66        " (0, 3): False,\n",
  67        " (0, 4): False,\n",
  68        " (0, 5): False,\n",
  69        " (0, 6): False,\n",
  70        " (0, 7): False,\n",
  71        " (0, 8): False,\n",
  72        " (0, 9): False,\n",
  73        " (0, 10): False,\n",
  74        " (1, 0): False,\n",
  75        " (1, 1): False,\n",
  76        " (1, 2): False,\n",
  77        " (1, 3): False,\n",
  78        " (1, 4): False,\n",
  79        " (1, 5): False,\n",
  80        " (1, 6): False,\n",
  81        " (1, 7): False,\n",
  82        " (1, 8): False,\n",
  83        " (1, 9): False,\n",
  84        " (1, 10): False,\n",
  85        " (2, 0): False,\n",
  86        " (2, 1): False,\n",
  87        " (2, 2): False,\n",
  88        " (2, 3): False,\n",
  89        " (2, 4): False,\n",
  90        " (2, 5): False,\n",
  91        " (2, 6): False,\n",
  92        " (2, 7): False,\n",
  93        " (2, 8): False,\n",
  94        " (2, 9): False,\n",
  95        " (2, 10): False,\n",
  96        " (3, 0): False,\n",
  97        " (3, 1): False,\n",
  98        " (3, 2): False,\n",
  99        " (3, 3): False,\n",
 100        " (3, 4): False,\n",
 101        " (3, 5): False,\n",
 102        " (3, 6): False,\n",
 103        " (3, 7): False,\n",
 104        " (3, 8): False,\n",
 105        " (3, 9): False,\n",
 106        " (3, 10): False,\n",
 107        " (4, 0): False,\n",
 108        " (4, 1): False,\n",
 109        " (4, 2): False,\n",
 110        " (4, 3): False,\n",
 111        " (4, 4): False,\n",
 112        " (4, 5): False,\n",
 113        " (4, 6): False,\n",
 114        " (4, 7): False,\n",
 115        " (4, 8): False,\n",
 116        " (4, 9): False,\n",
 117        " (4, 10): False,\n",
 118        " (5, 0): False,\n",
 119        " (5, 1): False,\n",
 120        " (5, 2): False,\n",
 121        " (5, 3): False,\n",
 122        " (5, 4): False,\n",
 123        " (5, 5): False,\n",
 124        " (5, 6): False,\n",
 125        " (5, 7): False,\n",
 126        " (5, 8): False,\n",
 127        " (5, 9): False,\n",
 128        " (5, 10): False}"
 129       ]
 130      },
 131      "execution_count": 3,
 132      "metadata": {},
 133      "output_type": "execute_result"
 134     }
 135    ],
 136    "source": [
 137     "dp_table = {(i, j): False\n",
 138     "           for i in range(len(s1)+1)\n",
 139     "           for j in range(len(s2)+1)}\n",
 140     "dp_table"
 141    ]
 142   },
 143   {
 144    "cell_type": "code",
 145    "execution_count": 4,
 146    "metadata": {
 147     "collapsed": true
 148    },
 149    "outputs": [],
 150    "source": [
 151     "def show_table(table):\n",
 152     "    return '\\n'.join(\n",
 153     "        ' '.join(str(table[i, j])[0] for j in sorted(set([k[1] for k in table])))\n",
 154     "        for i in sorted(set([k[0] for k in table])))        "
 155    ]
 156   },
 157   {
 158    "cell_type": "code",
 159    "execution_count": 5,
 160    "metadata": {},
 161    "outputs": [
 162     {
 163      "name": "stdout",
 164      "output_type": "stream",
 165      "text": [
 166       "F F F F F F F F F F F\n",
 167       "F F F F F F F F F F F\n",
 168       "F F F F F F F F F F F\n",
 169       "F F F F F F F F F F F\n",
 170       "F F F F F F F F F F F\n",
 171       "F F F F F F F F F F F\n"
 172      ]
 173     }
 174    ],
 175    "source": [
 176     "print(show_table(dp_table))"
 177    ]
 178   },
 179   {
 180    "cell_type": "code",
 181    "execution_count": 6,
 182    "metadata": {},
 183    "outputs": [
 184     {
 185      "name": "stdout",
 186      "output_type": "stream",
 187      "text": [
 188       "aaaa aaababb\n",
 189       "aa 0 0 ! ! True\n",
 190       "aa 0 1 ! ! True\n",
 191       "aa 0 2 ! ! True\n",
 192       "aa 0 3 ! ! True\n",
 193       "aa 0 4 ! ! True\n",
 194       "aa 0 5 ! ! True\n",
 195       "aa 0 6 ! ! True\n",
 196       "aa 0 7 ! ! True\n",
 197       "s1 1 1 a a True\n",
 198       "s2 1 2 a a True\n",
 199       "s1 1 2 a a True\n",
 200       "s2 1 3 a a True\n",
 201       "s1 1 3 a a True\n",
 202       "s2 1 4 a b True\n",
 203       "s2 1 5 a a True\n",
 204       "s1 1 5 a a True\n",
 205       "s2 1 6 a b True\n",
 206       "s2 1 7 a b True\n",
 207       "s1 2 2 a a True\n",
 208       "s2 2 3 a a True\n",
 209       "s1 2 3 a a True\n",
 210       "s2 2 4 a b True\n",
 211       "s2 2 5 a a True\n",
 212       "s1 2 5 a a True\n",
 213       "s2 2 6 a b True\n",
 214       "s2 2 7 a b True\n",
 215       "s1 3 3 a a True\n",
 216       "s2 3 4 a b True\n",
 217       "s2 3 5 a a True\n",
 218       "s1 3 5 a a True\n",
 219       "s2 3 6 a b True\n",
 220       "s2 3 7 a b True\n",
 221       "xx 4 4 a b False\n",
 222       "s1 4 5 a a True\n",
 223       "s2 4 6 a b True\n",
 224       "s2 4 7 a b True\n",
 225       "T T T T T T T T\n",
 226       "F T T T T T T T\n",
 227       "F F T T T T T T\n",
 228       "F F F T T T T T\n",
 229       "F F F F F T T T\n"
 230      ]
 231     },
 232     {
 233      "data": {
 234       "text/plain": [
 235        "{(1, 1): (0, 0, 'a', 's1'),\n",
 236        " (1, 2): (0, 1, 'a', 's1'),\n",
 237        " (1, 3): (0, 2, 'a', 's1'),\n",
 238        " (1, 4): (1, 3, 'b', 's2'),\n",
 239        " (1, 5): (0, 4, 'a', 's1'),\n",
 240        " (1, 6): (1, 5, 'b', 's2'),\n",
 241        " (1, 7): (1, 6, 'b', 's2'),\n",
 242        " (2, 2): (1, 1, 'a', 's1'),\n",
 243        " (2, 3): (1, 2, 'a', 's1'),\n",
 244        " (2, 4): (2, 3, 'b', 's2'),\n",
 245        " (2, 5): (1, 4, 'a', 's1'),\n",
 246        " (2, 6): (2, 5, 'b', 's2'),\n",
 247        " (2, 7): (2, 6, 'b', 's2'),\n",
 248        " (3, 3): (2, 2, 'a', 's1'),\n",
 249        " (3, 4): (3, 3, 'b', 's2'),\n",
 250        " (3, 5): (2, 4, 'a', 's1'),\n",
 251        " (3, 6): (3, 5, 'b', 's2'),\n",
 252        " (3, 7): (3, 6, 'b', 's2'),\n",
 253        " (4, 5): (3, 4, 'a', 's1'),\n",
 254        " (4, 6): (4, 5, 'b', 's2'),\n",
 255        " (4, 7): (4, 6, 'b', 's2')}"
 256       ]
 257      },
 258      "execution_count": 6,
 259      "metadata": {},
 260      "output_type": "execute_result"
 261     }
 262    ],
 263    "source": [
 264     "s2 = s2f\n",
 265     "\n",
 266     "s1 = 'aaaa'\n",
 267     "s2 = 'aaababb'\n",
 268     "\n",
 269     "print(s1, s2)\n",
 270     "\n",
 271     "dp_table = {(i, j): False\n",
 272     "           for i in range(len(s1)+1)\n",
 273     "           for j in range(len(s2)+1)}\n",
 274     "\n",
 275     "backpointers = {}\n",
 276     "\n",
 277     "for i in range(len(s1)+1):\n",
 278     "    for j in range(i, len(s2)+1):\n",
 279     "        if i == 0 or j == 0:\n",
 280     "            dp_table[i, j] = True\n",
 281     "            print('aa', i, j, '!', '!', dp_table[i, j])\n",
 282     "        else:\n",
 283     "            # extend by character from s2\n",
 284     "            if dp_table[i, j-1]:\n",
 285     "                dp_table[i, j] = True\n",
 286     "                backpointers[i, j] = (i, j-1, s2[j-1], 's2')\n",
 287     "                print('s2', i, j, s1[i-1], s2[j-1], dp_table[i, j])                \n",
 288     "            # extend by character from s1\n",
 289     "            if dp_table[i-1, j-1] and s1[i-1] == s2[j-1]:\n",
 290     "                dp_table[i, j] = True\n",
 291     "                backpointers[i, j] = (i-1, j-1, s1[i-1], 's1')                \n",
 292     "                print('s1', i, j, s1[i-1], s2[j-1], dp_table[i, j])\n",
 293     "            if not dp_table[i, j]:\n",
 294     "                print('xx', i, j, s1[i-1], s2[j-1], dp_table[i, j])\n",
 295     "\n",
 296     "print(show_table(dp_table))\n",
 297     "backpointers"
 298    ]
 299   },
 300   {
 301    "cell_type": "code",
 302    "execution_count": 7,
 303    "metadata": {
 304     "collapsed": true
 305    },
 306    "outputs": [],
 307    "source": [
 308     "def show_backtrace(bps):\n",
 309     "    i = max([0] + [k[0] for k in bps])\n",
 310     "    j = max([0] + [k[1] for k in bps])\n",
 311     "    chars = ''\n",
 312     "    if (i, j) in bps:\n",
 313     "        while i != 0 and j != 0:\n",
 314     "            if bps[i, j][3] == 's1':\n",
 315     "                chars += bps[i, j][2].upper()\n",
 316     "            else:\n",
 317     "                chars += bps[i, j][2]\n",
 318     "            i, j = bps[i, j][0], bps[i, j][1] \n",
 319     "        return ''.join(list(reversed(chars)))\n",
 320     "    else:\n",
 321     "        return ''"
 322    ]
 323   },
 324   {
 325    "cell_type": "code",
 326    "execution_count": 8,
 327    "metadata": {},
 328    "outputs": [
 329     {
 330      "data": {
 331       "text/plain": [
 332        "'AAAbAbb'"
 333       ]
 334      },
 335      "execution_count": 8,
 336      "metadata": {},
 337      "output_type": "execute_result"
 338     }
 339    ],
 340    "source": [
 341     "show_backtrace(backpointers)"
 342    ]
 343   },
 344   {
 345    "cell_type": "code",
 346    "execution_count": 9,
 347    "metadata": {
 348     "collapsed": true
 349    },
 350    "outputs": [],
 351    "source": [
 352     "def is_subseq(seq1, seq2, return_backpointers=False, return_table=False, debug=False):\n",
 353     "    \"\"\"Return true if seq1 is a subsequence of seq2.\n",
 354     "    If return_backpointers, also return the set of backpointers to\n",
 355     "    reconstruct the subsequence\"\"\"\n",
 356     "    \n",
 357     "    # dp_table[i, j] is True if first i characters of seq1 can\n",
 358     "    # be found in the first j characters of seq2\n",
 359     "  \n",
 360     "    dp_table = {(i, j): False\n",
 361     "               for i in range(len(seq1)+1)\n",
 362     "               for j in range(len(seq2)+1)}\n",
 363     "\n",
 364     "    backpointers = {}\n",
 365     "    \n",
 366     "    for i in range(len(seq1)+1):\n",
 367     "        for j in range(i, len(seq2)+1):\n",
 368     "            if i == 0 or j == 0:\n",
 369     "                dp_table[i, j] = True\n",
 370     "                if debug: print('aa', i, j, '!', '!', dp_table[i, j])\n",
 371     "            else:\n",
 372     "                # extend by character from s2\n",
 373     "                if dp_table[i, j-1]:\n",
 374     "                    dp_table[i, j] = True\n",
 375     "                    backpointers[i, j] = (i, j-1, seq2[j-1], 's2')\n",
 376     "                    if debug: print('s2', i, j, seq1[i-1], seq2[j-1], dp_table[i, j])                \n",
 377     "                # extend by character from s1\n",
 378     "                if dp_table[i-1, j-1] and seq1[i-1] == seq2[j-1]:\n",
 379     "                    dp_table[i, j] = True\n",
 380     "                    backpointers[i, j] = (i-1, j-1, seq1[i-1], 's1')                \n",
 381     "                    if debug: print('s1', i, j, seq1[i-1], seq2[j-1], dp_table[i, j])\n",
 382     "                if not dp_table[i, j]:\n",
 383     "                    if debug: print('xx', i, j, seq1[i-1], seq2[j-1], dp_table[i, j]) \n",
 384     "   \n",
 385     "#     if return_backpointers:\n",
 386     "#         return dp_table[len(seq1), len(seq2)], backpointers\n",
 387     "#     else:\n",
 388     "#         return dp_table[len(seq1), len(seq2)]\n",
 389     "    \n",
 390     "    if return_backpointers or return_table:\n",
 391     "        retval = [dp_table[len(seq1), len(seq2)]]\n",
 392     "        if return_backpointers:\n",
 393     "            retval += [backpointers]\n",
 394     "        if return_table:\n",
 395     "            retval += [dp_table]\n",
 396     "        return tuple(retval)\n",
 397     "    else:\n",
 398     "        return dp_table[len(seq1), len(seq2)]"
 399    ]
 400   },
 401   {
 402    "cell_type": "code",
 403    "execution_count": 10,
 404    "metadata": {
 405     "scrolled": true
 406    },
 407    "outputs": [
 408     {
 409      "name": "stdout",
 410      "output_type": "stream",
 411      "text": [
 412       "aa 0 0 ! ! True\n",
 413       "aa 0 1 ! ! True\n",
 414       "aa 0 2 ! ! True\n",
 415       "aa 0 3 ! ! True\n",
 416       "aa 0 4 ! ! True\n",
 417       "aa 0 5 ! ! True\n",
 418       "aa 0 6 ! ! True\n",
 419       "aa 0 7 ! ! True\n",
 420       "aa 0 8 ! ! True\n",
 421       "aa 0 9 ! ! True\n",
 422       "aa 0 10 ! ! True\n",
 423       "xx 1 1 a d False\n",
 424       "s1 1 2 a a True\n",
 425       "s2 1 3 a b True\n",
 426       "s2 1 4 a a True\n",
 427       "s1 1 4 a a True\n",
 428       "s2 1 5 a a True\n",
 429       "s1 1 5 a a True\n",
 430       "s2 1 6 a b True\n",
 431       "s2 1 7 a c True\n",
 432       "s2 1 8 a a True\n",
 433       "s1 1 8 a a True\n",
 434       "s2 1 9 a c True\n",
 435       "s2 1 10 a b True\n",
 436       "xx 2 2 a a False\n",
 437       "xx 2 3 a b False\n",
 438       "s1 2 4 a a True\n",
 439       "s2 2 5 a a True\n",
 440       "s1 2 5 a a True\n",
 441       "s2 2 6 a b True\n",
 442       "s2 2 7 a c True\n",
 443       "s2 2 8 a a True\n",
 444       "s1 2 8 a a True\n",
 445       "s2 2 9 a c True\n",
 446       "s2 2 10 a b True\n",
 447       "xx 3 3 a b False\n",
 448       "xx 3 4 a a False\n",
 449       "s1 3 5 a a True\n",
 450       "s2 3 6 a b True\n",
 451       "s2 3 7 a c True\n",
 452       "s2 3 8 a a True\n",
 453       "s1 3 8 a a True\n",
 454       "s2 3 9 a c True\n",
 455       "s2 3 10 a b True\n",
 456       "xx 4 4 a a False\n",
 457       "xx 4 5 a a False\n",
 458       "xx 4 6 a b False\n",
 459       "xx 4 7 a c False\n",
 460       "s1 4 8 a a True\n",
 461       "s2 4 9 a c True\n",
 462       "s2 4 10 a b True\n"
 463      ]
 464     },
 465     {
 466      "data": {
 467       "text/plain": [
 468        "True"
 469       ]
 470      },
 471      "execution_count": 10,
 472      "metadata": {},
 473      "output_type": "execute_result"
 474     }
 475    ],
 476    "source": [
 477     "is_subseq(s1, s2t, debug=True)"
 478    ]
 479   },
 480   {
 481    "cell_type": "code",
 482    "execution_count": 11,
 483    "metadata": {
 484     "collapsed": true
 485    },
 486    "outputs": [],
 487    "source": [
 488     "def show_annotated_table(table, bps):\n",
 489     "    return '\\n'.join(' '.join('.' if (i, j) not in bps else bps[i, j][2] if table[i, j] else '.' for j in sorted(set([k[1] for k in table])))\n",
 490     "        for i in sorted(set([k[0] for k in table])))"
 491    ]
 492   },
 493   {
 494    "cell_type": "code",
 495    "execution_count": 12,
 496    "metadata": {},
 497    "outputs": [
 498     {
 499      "data": {
 500       "text/plain": [
 501        "True"
 502       ]
 503      },
 504      "execution_count": 12,
 505      "metadata": {},
 506      "output_type": "execute_result"
 507     }
 508    ],
 509    "source": [
 510     "tf, bps, tb = is_subseq(s1, s2t, return_backpointers=True, return_table=True)\n",
 511     "tf"
 512    ]
 513   },
 514   {
 515    "cell_type": "code",
 516    "execution_count": 13,
 517    "metadata": {},
 518    "outputs": [
 519     {
 520      "data": {
 521       "text/plain": [
 522        "'AbAAbcAcb'"
 523       ]
 524      },
 525      "execution_count": 13,
 526      "metadata": {},
 527      "output_type": "execute_result"
 528     }
 529    ],
 530    "source": [
 531     "show_backtrace(bps)"
 532    ]
 533   },
 534   {
 535    "cell_type": "code",
 536    "execution_count": 14,
 537    "metadata": {},
 538    "outputs": [
 539     {
 540      "name": "stdout",
 541      "output_type": "stream",
 542      "text": [
 543       "T T T T T T T T T T T\n",
 544       "F F T T T T T T T T T\n",
 545       "F F F F T T T T T T T\n",
 546       "F F F F F T T T T T T\n",
 547       "F F F F F F F F T T T\n"
 548      ]
 549     }
 550    ],
 551    "source": [
 552     "print(show_table(tb))"
 553    ]
 554   },
 555   {
 556    "cell_type": "code",
 557    "execution_count": 15,
 558    "metadata": {},
 559    "outputs": [
 560     {
 561      "name": "stdout",
 562      "output_type": "stream",
 563      "text": [
 564       ". . . . . . . . . . .\n",
 565       ". . a b a a b c a c b\n",
 566       ". . . . a a b c a c b\n",
 567       ". . . . . a b c a c b\n",
 568       ". . . . . . . . a c b\n"
 569      ]
 570     }
 571    ],
 572    "source": [
 573     "print(show_annotated_table(tb, bps))"
 574    ]
 575   },
 576   {
 577    "cell_type": "code",
 578    "execution_count": 16,
 579    "metadata": {},
 580    "outputs": [
 581     {
 582      "data": {
 583       "text/plain": [
 584        "False"
 585       ]
 586      },
 587      "execution_count": 16,
 588      "metadata": {},
 589      "output_type": "execute_result"
 590     }
 591    ],
 592    "source": [
 593     "len(show_backtrace(bps)) == len(s2t)"
 594    ]
 595   },
 596   {
 597    "cell_type": "code",
 598    "execution_count": 17,
 599    "metadata": {},
 600    "outputs": [
 601     {
 602      "data": {
 603       "text/plain": [
 604        "('aaaa', 'dabaabcacb')"
 605       ]
 606      },
 607      "execution_count": 17,
 608      "metadata": {},
 609      "output_type": "execute_result"
 610     }
 611    ],
 612    "source": [
 613     "s1, s2t"
 614    ]
 615   },
 616   {
 617    "cell_type": "code",
 618    "execution_count": 18,
 619    "metadata": {},
 620    "outputs": [
 621     {
 622      "data": {
 623       "text/plain": [
 624        "{(1, 2): (0, 1, 'a', 's1'),\n",
 625        " (1, 3): (1, 2, 'b', 's2'),\n",
 626        " (1, 4): (0, 3, 'a', 's1'),\n",
 627        " (1, 5): (0, 4, 'a', 's1'),\n",
 628        " (1, 6): (1, 5, 'b', 's2'),\n",
 629        " (1, 7): (1, 6, 'c', 's2'),\n",
 630        " (1, 8): (0, 7, 'a', 's1'),\n",
 631        " (1, 9): (1, 8, 'c', 's2'),\n",
 632        " (1, 10): (1, 9, 'b', 's2'),\n",
 633        " (2, 4): (1, 3, 'a', 's1'),\n",
 634        " (2, 5): (1, 4, 'a', 's1'),\n",
 635        " (2, 6): (2, 5, 'b', 's2'),\n",
 636        " (2, 7): (2, 6, 'c', 's2'),\n",
 637        " (2, 8): (1, 7, 'a', 's1'),\n",
 638        " (2, 9): (2, 8, 'c', 's2'),\n",
 639        " (2, 10): (2, 9, 'b', 's2'),\n",
 640        " (3, 5): (2, 4, 'a', 's1'),\n",
 641        " (3, 6): (3, 5, 'b', 's2'),\n",
 642        " (3, 7): (3, 6, 'c', 's2'),\n",
 643        " (3, 8): (2, 7, 'a', 's1'),\n",
 644        " (3, 9): (3, 8, 'c', 's2'),\n",
 645        " (3, 10): (3, 9, 'b', 's2'),\n",
 646        " (4, 8): (3, 7, 'a', 's1'),\n",
 647        " (4, 9): (4, 8, 'c', 's2'),\n",
 648        " (4, 10): (4, 9, 'b', 's2')}"
 649       ]
 650      },
 651      "execution_count": 18,
 652      "metadata": {},
 653      "output_type": "execute_result"
 654     }
 655    ],
 656    "source": [
 657     "bps"
 658    ]
 659   },
 660   {
 661    "cell_type": "code",
 662    "execution_count": 19,
 663    "metadata": {},
 664    "outputs": [
 665     {
 666      "data": {
 667       "text/plain": [
 668        "False"
 669       ]
 670      },
 671      "execution_count": 19,
 672      "metadata": {},
 673      "output_type": "execute_result"
 674     }
 675    ],
 676    "source": [
 677     "is_subseq(s1, s2f)"
 678    ]
 679   },
 680   {
 681    "cell_type": "code",
 682    "execution_count": 20,
 683    "metadata": {
 684     "scrolled": true
 685    },
 686    "outputs": [
 687     {
 688      "name": "stdout",
 689      "output_type": "stream",
 690      "text": [
 691       "aa 0 0 ! ! True\n",
 692       "aa 0 1 ! ! True\n",
 693       "aa 0 2 ! ! True\n",
 694       "aa 0 3 ! ! True\n",
 695       "aa 0 4 ! ! True\n",
 696       "aa 0 5 ! ! True\n",
 697       "aa 0 6 ! ! True\n",
 698       "aa 0 7 ! ! True\n",
 699       "s1 1 1 a a True\n",
 700       "s2 1 2 a a True\n",
 701       "s1 1 2 a a True\n",
 702       "s2 1 3 a a True\n",
 703       "s1 1 3 a a True\n",
 704       "s2 1 4 a b True\n",
 705       "s2 1 5 a a True\n",
 706       "s1 1 5 a a True\n",
 707       "s2 1 6 a b True\n",
 708       "s2 1 7 a b True\n",
 709       "s1 2 2 a a True\n",
 710       "s2 2 3 a a True\n",
 711       "s1 2 3 a a True\n",
 712       "s2 2 4 a b True\n",
 713       "s2 2 5 a a True\n",
 714       "s1 2 5 a a True\n",
 715       "s2 2 6 a b True\n",
 716       "s2 2 7 a b True\n",
 717       "s1 3 3 a a True\n",
 718       "s2 3 4 a b True\n",
 719       "s2 3 5 a a True\n",
 720       "s1 3 5 a a True\n",
 721       "s2 3 6 a b True\n",
 722       "s2 3 7 a b True\n",
 723       "xx 4 4 a b False\n",
 724       "s1 4 5 a a True\n",
 725       "s2 4 6 a b True\n",
 726       "s2 4 7 a b True\n"
 727      ]
 728     },
 729     {
 730      "data": {
 731       "text/plain": [
 732        "(True,\n",
 733        " {(1, 1): (0, 0, 'a', 's1'),\n",
 734        "  (1, 2): (0, 1, 'a', 's1'),\n",
 735        "  (1, 3): (0, 2, 'a', 's1'),\n",
 736        "  (1, 4): (1, 3, 'b', 's2'),\n",
 737        "  (1, 5): (0, 4, 'a', 's1'),\n",
 738        "  (1, 6): (1, 5, 'b', 's2'),\n",
 739        "  (1, 7): (1, 6, 'b', 's2'),\n",
 740        "  (2, 2): (1, 1, 'a', 's1'),\n",
 741        "  (2, 3): (1, 2, 'a', 's1'),\n",
 742        "  (2, 4): (2, 3, 'b', 's2'),\n",
 743        "  (2, 5): (1, 4, 'a', 's1'),\n",
 744        "  (2, 6): (2, 5, 'b', 's2'),\n",
 745        "  (2, 7): (2, 6, 'b', 's2'),\n",
 746        "  (3, 3): (2, 2, 'a', 's1'),\n",
 747        "  (3, 4): (3, 3, 'b', 's2'),\n",
 748        "  (3, 5): (2, 4, 'a', 's1'),\n",
 749        "  (3, 6): (3, 5, 'b', 's2'),\n",
 750        "  (3, 7): (3, 6, 'b', 's2'),\n",
 751        "  (4, 5): (3, 4, 'a', 's1'),\n",
 752        "  (4, 6): (4, 5, 'b', 's2'),\n",
 753        "  (4, 7): (4, 6, 'b', 's2')})"
 754       ]
 755      },
 756      "execution_count": 20,
 757      "metadata": {},
 758      "output_type": "execute_result"
 759     }
 760    ],
 761    "source": [
 762     "is_subseq('aaaa', 'aaababb', return_backpointers=True, debug=True)"
 763    ]
 764   },
 765   {
 766    "cell_type": "code",
 767    "execution_count": 77,
 768    "metadata": {
 769     "collapsed": true
 770    },
 771    "outputs": [],
 772    "source": [
 773     "def is_subseq_recursive(s1, s2):\n",
 774     "#     print(s1, s2)\n",
 775     "    if not s1:\n",
 776     "        return True\n",
 777     "    elif len(s1) > len(s2):\n",
 778     "        return False\n",
 779     "    else:\n",
 780     "        if s1[-1] == s2[-1]:\n",
 781     "            return is_subseq_recursive(s1, s2[:-1]) or is_subseq_recursive(s1[:-1], s2[:-1])\n",
 782     "        else:\n",
 783     "            return is_subseq_recursive(s1, s2[:-1])"
 784    ]
 785   },
 786   {
 787    "cell_type": "code",
 788    "execution_count": 67,
 789    "metadata": {
 790     "collapsed": true
 791    },
 792    "outputs": [],
 793    "source": [
 794     "def is_subseq_recursive_2(s1, s2):\n",
 795     "    if not s1:\n",
 796     "        return True\n",
 797     "    elif len(s1) > len(s2):\n",
 798     "        return False\n",
 799     "    else:\n",
 800     "        if s1[-1] == s2[-1]:\n",
 801     "            return is_subseq_recursive(s1[:-1], s2[:-1]) or is_subseq_recursive(s1, s2[:-1])\n",
 802     "        else:\n",
 803     "            return is_subseq_recursive(s1, s2[:-1])"
 804    ]
 805   },
 806   {
 807    "cell_type": "code",
 808    "execution_count": 28,
 809    "metadata": {
 810     "collapsed": true
 811    },
 812    "outputs": [],
 813    "source": [
 814     "import uuid"
 815    ]
 816   },
 817   {
 818    "cell_type": "code",
 819    "execution_count": 24,
 820    "metadata": {},
 821    "outputs": [
 822     {
 823      "data": {
 824       "text/plain": [
 825        "True"
 826       ]
 827      },
 828      "execution_count": 24,
 829      "metadata": {},
 830      "output_type": "execute_result"
 831     }
 832    ],
 833    "source": [
 834     "is_subseq_recursive(s1, s2t)"
 835    ]
 836   },
 837   {
 838    "cell_type": "code",
 839    "execution_count": 25,
 840    "metadata": {},
 841    "outputs": [
 842     {
 843      "data": {
 844       "text/plain": [
 845        "False"
 846       ]
 847      },
 848      "execution_count": 25,
 849      "metadata": {},
 850      "output_type": "execute_result"
 851     }
 852    ],
 853    "source": [
 854     "is_subseq_recursive(s1, s2f)"
 855    ]
 856   },
 857   {
 858    "cell_type": "code",
 859    "execution_count": 76,
 860    "metadata": {
 861     "collapsed": true
 862    },
 863    "outputs": [],
 864    "source": [
 865     "def is_subseq_recursive_dot(s1, s2):\n",
 866     "    node_id = uuid.uuid4().hex\n",
 867     "    node_string = 'n{} [label=\"{}\\\\n{}\"];'.format(node_id, s1, s2)\n",
 868     "#     print(s1, s2, node_string)\n",
 869     "    if not s1:\n",
 870     "        return node_id, ['n{} [label=\"-\\\\n{}\\\\nTrue\"];'.format(node_id, s2)]\n",
 871     "    elif len(s1) > len(s2):\n",
 872     "        return node_id, ['n{} [label=\"{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2)]\n",
 873     "    else:\n",
 874     "        if s1[-1] == s2[-1]:\n",
 875     "            node1_id, node1_graph = is_subseq_recursive_dot(s1[:-1], s2[:-1])\n",
 876     "            node2_id, node2_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
 877     "            return node_id, ([node_string, \n",
 878     "                    'n{} -> n{};'.format(node_id, node1_id), \n",
 879     "                    'n{} -> n{};'.format(node_id, node2_id)] + \n",
 880     "                    node1_graph + node2_graph)\n",
 881     "        else:\n",
 882     "            node1_id, node1_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
 883     "            return node_id, ([node_string, \n",
 884     "                    'n{} -> n{};'.format(node_id, node1_id)] + \n",
 885     "                    node1_graph)"
 886    ]
 887   },
 888   {
 889    "cell_type": "code",
 890    "execution_count": 51,
 891    "metadata": {},
 892    "outputs": [
 893     {
 894      "data": {
 895       "text/plain": [
 896        "'ae50b62c418f4ba8902bfa8bab4948e0'"
 897       ]
 898      },
 899      "execution_count": 51,
 900      "metadata": {},
 901      "output_type": "execute_result"
 902     }
 903    ],
 904    "source": [
 905     "uuid.uuid4().hex"
 906    ]
 907   },
 908   {
 909    "cell_type": "code",
 910    "execution_count": 78,
 911    "metadata": {},
 912    "outputs": [
 913     {
 914      "name": "stdout",
 915      "output_type": "stream",
 916      "text": [
 917       "nd5092f0e2ba047ba9b662e17a650791a [label=\"daabcc\\ndabaabcacb\"];\n",
 918       "nd5092f0e2ba047ba9b662e17a650791a -> nc243f60568164ba495d5f89dc1075a85;\n",
 919       "nc243f60568164ba495d5f89dc1075a85 [label=\"daabcc\\ndabaabcac\"];\n",
 920       "nc243f60568164ba495d5f89dc1075a85 -> n933e3a2ebca34034866b98ab19ee3f90;\n",
 921       "nc243f60568164ba495d5f89dc1075a85 -> n3c49af7ea69340f2a97827a0547f73db;\n",
 922       "n933e3a2ebca34034866b98ab19ee3f90 [label=\"daabc\\ndabaabca\"];\n",
 923       "n933e3a2ebca34034866b98ab19ee3f90 -> n8d50442e9d704d7a8e9f0ba2f38e73fc;\n",
 924       "n8d50442e9d704d7a8e9f0ba2f38e73fc [label=\"daabc\\ndabaabc\"];\n",
 925       "n8d50442e9d704d7a8e9f0ba2f38e73fc -> n942c205bd0994681bf159f01fc42d0f5;\n",
 926       "n8d50442e9d704d7a8e9f0ba2f38e73fc -> n8aab1aa30e494cef8895ff177a1d0623;\n",
 927       "n942c205bd0994681bf159f01fc42d0f5 [label=\"daab\\ndabaab\"];\n",
 928       "n942c205bd0994681bf159f01fc42d0f5 -> na797ca966ed045d5a14888ef06ae64ba;\n",
 929       "n942c205bd0994681bf159f01fc42d0f5 -> nd7ea02b3fb6348e49929c458903e1c66;\n",
 930       "na797ca966ed045d5a14888ef06ae64ba [label=\"daa\\ndabaa\"];\n",
 931       "na797ca966ed045d5a14888ef06ae64ba -> nfc8f27c7ea3b45f69d3e28ff7397c211;\n",
 932       "na797ca966ed045d5a14888ef06ae64ba -> nfc96ed80812342958197f351bf4bb6c4;\n",
 933       "nfc8f27c7ea3b45f69d3e28ff7397c211 [label=\"da\\ndaba\"];\n",
 934       "nfc8f27c7ea3b45f69d3e28ff7397c211 -> n0fba1674138c4ee2a437ec3bfe3c0c34;\n",
 935       "nfc8f27c7ea3b45f69d3e28ff7397c211 -> n214435af4c204b2bac186c6bc7fd4b43;\n",
 936       "n0fba1674138c4ee2a437ec3bfe3c0c34 [label=\"d\\ndab\"];\n",
 937       "n0fba1674138c4ee2a437ec3bfe3c0c34 -> nbbbca27c4d794d3396c58908f36ad8b1;\n",
 938       "nbbbca27c4d794d3396c58908f36ad8b1 [label=\"d\\nda\"];\n",
 939       "nbbbca27c4d794d3396c58908f36ad8b1 -> n4a39eb3283ba4896bd0ae98e695a5e78;\n",
 940       "n4a39eb3283ba4896bd0ae98e695a5e78 [label=\"d\\nd\"];\n",
 941       "n4a39eb3283ba4896bd0ae98e695a5e78 -> n0f69ba31cb9341b8a0e01b58e94ecc3e;\n",
 942       "n4a39eb3283ba4896bd0ae98e695a5e78 -> n01a1efd1fe0148409aa9ae19a57a1c11;\n",
 943       "n0f69ba31cb9341b8a0e01b58e94ecc3e [label=\"-\\n\\nTrue\"];\n",
 944       "n01a1efd1fe0148409aa9ae19a57a1c11 [label=\"d\\n\\nFalse\"];\n",
 945       "n214435af4c204b2bac186c6bc7fd4b43 [label=\"da\\ndab\"];\n",
 946       "n214435af4c204b2bac186c6bc7fd4b43 -> n7f75729c74d944199866bc8242166a15;\n",
 947       "n7f75729c74d944199866bc8242166a15 [label=\"da\\nda\"];\n",
 948       "n7f75729c74d944199866bc8242166a15 -> nfe2ac3cf290844a686eb20c8a1419632;\n",
 949       "n7f75729c74d944199866bc8242166a15 -> n99dabcab19424f76aade00e10b247e28;\n",
 950       "nfe2ac3cf290844a686eb20c8a1419632 [label=\"d\\nd\"];\n",
 951       "nfe2ac3cf290844a686eb20c8a1419632 -> n4ef4c358f84b44f0816ee6c23bc87c23;\n",
 952       "nfe2ac3cf290844a686eb20c8a1419632 -> n0fcf711c28b84e869cd5b1ad29147b79;\n",
 953       "n4ef4c358f84b44f0816ee6c23bc87c23 [label=\"-\\n\\nTrue\"];\n",
 954       "n0fcf711c28b84e869cd5b1ad29147b79 [label=\"d\\n\\nFalse\"];\n",
 955       "n99dabcab19424f76aade00e10b247e28 [label=\"da\\nd\\nFalse\"];\n",
 956       "nfc96ed80812342958197f351bf4bb6c4 [label=\"daa\\ndaba\"];\n",
 957       "nfc96ed80812342958197f351bf4bb6c4 -> n6f68fb9a9f774752ada474efa377f60e;\n",
 958       "nfc96ed80812342958197f351bf4bb6c4 -> ne0abe88f3d764703a75eed757cc316bf;\n",
 959       "n6f68fb9a9f774752ada474efa377f60e [label=\"da\\ndab\"];\n",
 960       "n6f68fb9a9f774752ada474efa377f60e -> n9c89649fee58407db0ff5d0ba2eb4f2d;\n",
 961       "n9c89649fee58407db0ff5d0ba2eb4f2d [label=\"da\\nda\"];\n",
 962       "n9c89649fee58407db0ff5d0ba2eb4f2d -> n34738b8c332d4e559f9aa7c7eec42e72;\n",
 963       "n9c89649fee58407db0ff5d0ba2eb4f2d -> n446a9bd7fa264edcb2bf289b4fe55f71;\n",
 964       "n34738b8c332d4e559f9aa7c7eec42e72 [label=\"d\\nd\"];\n",
 965       "n34738b8c332d4e559f9aa7c7eec42e72 -> n73e44dd0c7f248a3bd4aa11de6040c5f;\n",
 966       "n34738b8c332d4e559f9aa7c7eec42e72 -> n7af9d67feb864b8ea552f84d64b3e610;\n",
 967       "n73e44dd0c7f248a3bd4aa11de6040c5f [label=\"-\\n\\nTrue\"];\n",
 968       "n7af9d67feb864b8ea552f84d64b3e610 [label=\"d\\n\\nFalse\"];\n",
 969       "n446a9bd7fa264edcb2bf289b4fe55f71 [label=\"da\\nd\\nFalse\"];\n",
 970       "ne0abe88f3d764703a75eed757cc316bf [label=\"daa\\ndab\"];\n",
 971       "ne0abe88f3d764703a75eed757cc316bf -> n639c085cdfa84e26a754dd4aa56a044e;\n",
 972       "n639c085cdfa84e26a754dd4aa56a044e [label=\"daa\\nda\\nFalse\"];\n",
 973       "nd7ea02b3fb6348e49929c458903e1c66 [label=\"daab\\ndabaa\"];\n",
 974       "nd7ea02b3fb6348e49929c458903e1c66 -> nbfa7d3dbec204c328749c3db14b668ea;\n",
 975       "nbfa7d3dbec204c328749c3db14b668ea [label=\"daab\\ndaba\"];\n",
 976       "nbfa7d3dbec204c328749c3db14b668ea -> nabacc0aef05041c5998655b5e68b6d94;\n",
 977       "nabacc0aef05041c5998655b5e68b6d94 [label=\"daab\\ndab\\nFalse\"];\n",
 978       "n8aab1aa30e494cef8895ff177a1d0623 [label=\"daabc\\ndabaab\"];\n",
 979       "n8aab1aa30e494cef8895ff177a1d0623 -> nd04c429a65b74db8902b1a2725254549;\n",
 980       "nd04c429a65b74db8902b1a2725254549 [label=\"daabc\\ndabaa\"];\n",
 981       "nd04c429a65b74db8902b1a2725254549 -> nff340dd0af774bf0818a959dad441b84;\n",
 982       "nff340dd0af774bf0818a959dad441b84 [label=\"daabc\\ndaba\\nFalse\"];\n",
 983       "n3c49af7ea69340f2a97827a0547f73db [label=\"daabcc\\ndabaabca\"];\n",
 984       "n3c49af7ea69340f2a97827a0547f73db -> n5f1bfeaf12e247d9bc9ca4641cb72fb5;\n",
 985       "n5f1bfeaf12e247d9bc9ca4641cb72fb5 [label=\"daabcc\\ndabaabc\"];\n",
 986       "n5f1bfeaf12e247d9bc9ca4641cb72fb5 -> na504494b1bc842bd800600c18478723a;\n",
 987       "n5f1bfeaf12e247d9bc9ca4641cb72fb5 -> n13e17edfcd5a4128996ba5dd2473f244;\n",
 988       "na504494b1bc842bd800600c18478723a [label=\"daabc\\ndabaab\"];\n",
 989       "na504494b1bc842bd800600c18478723a -> n78a73478b48c43d594e6a04a79c61946;\n",
 990       "n78a73478b48c43d594e6a04a79c61946 [label=\"daabc\\ndabaa\"];\n",
 991       "n78a73478b48c43d594e6a04a79c61946 -> na3c9f1e44c6546ba9b4c49c48ae842ba;\n",
 992       "na3c9f1e44c6546ba9b4c49c48ae842ba [label=\"daabc\\ndaba\\nFalse\"];\n",
 993       "n13e17edfcd5a4128996ba5dd2473f244 [label=\"daabcc\\ndabaab\"];\n",
 994       "n13e17edfcd5a4128996ba5dd2473f244 -> n5624db7a63c643bcafb2ba6797348bba;\n",
 995       "n5624db7a63c643bcafb2ba6797348bba [label=\"daabcc\\ndabaa\\nFalse\"];\n"
 996      ]
 997     }
 998    ],
 999    "source": [
1000     "root, graph = is_subseq_recursive_dot('daabcc', 'dabaabcacb')\n",
1001     "print('\\n'.join(graph))"
1002    ]
1003   },
1004   {
1005    "cell_type": "code",
1006    "execution_count": 70,
1007    "metadata": {},
1008    "outputs": [
1009     {
1010      "name": "stdout",
1011      "output_type": "stream",
1012      "text": [
1013       "bdabcc dabaabcacb\n",
1014       "bdabcc dabaabcac\n",
1015       "bdabcc dabaabca\n",
1016       "bdabcc dabaabc\n",
1017       "bdabcc dabaab\n",
1018       "bdabcc dabaa\n",
1019       "bdabc dabaab\n",
1020       "bdabc dabaa\n",
1021       "bdabc daba\n",
1022       "bdabc dabaabca\n",
1023       "bdabc dabaabc\n",
1024       "bdabc dabaab\n",
1025       "bdabc dabaa\n",
1026       "bdabc daba\n",
1027       "bdab dabaab\n",
1028       "bdab dabaa\n",
1029       "bdab daba\n",
1030       "bdab dab\n",
1031       "bda dabaa\n",
1032       "bda daba\n",
1033       "bda dab\n",
1034       "bda da\n",
1035       "bd dab\n",
1036       "bd da\n",
1037       "bd d\n",
1038       "bd daba\n",
1039       "bd dab\n",
1040       "bd da\n",
1041       "bd d\n"
1042      ]
1043     },
1044     {
1045      "data": {
1046       "text/plain": [
1047        "False"
1048       ]
1049      },
1050      "execution_count": 70,
1051      "metadata": {},
1052      "output_type": "execute_result"
1053     }
1054    ],
1055    "source": [
1056     "is_subseq_recursive('bdabcc', 'dabaabcacb')"
1057    ]
1058   },
1059   {
1060    "cell_type": "code",
1061    "execution_count": 75,
1062    "metadata": {},
1063    "outputs": [
1064     {
1065      "name": "stdout",
1066      "output_type": "stream",
1067      "text": [
1068       "bdabcc dabaabcacb nae20c69b2c4d4ea2a239af485ca10f16 [label=\"bdabcc\\ndabaabcacb\"];\n",
1069       "bdabcc dabaabcac nac3868f0d46645ca8bf1b02110448236 [label=\"bdabcc\\ndabaabcac\"];\n",
1070       "bdabc dabaabca nf5a124f6b457426eaa13f9d58a716fe1 [label=\"bdabc\\ndabaabca\"];\n",
1071       "bdabc dabaabc nf82bf143985849a9a14d7272ab8be040 [label=\"bdabc\\ndabaabc\"];\n",
1072       "bdab dabaab nf5694edb16d84740ad75d3c3a9dc33f4 [label=\"bdab\\ndabaab\"];\n",
1073       "bda dabaa n7734cd7f92a34a3bbb223dac592bd496 [label=\"bda\\ndabaa\"];\n",
1074       "bd daba nf51d59c7071c4725a4e961fd017fd0b6 [label=\"bd\\ndaba\"];\n",
1075       "bd dab n48a2b0c66af943439d0c9767e9181c50 [label=\"bd\\ndab\"];\n",
1076       "bd da nfee98ef394994c0b9664921c73ae7882 [label=\"bd\\nda\"];\n",
1077       "bd d n077956a8b783437ba5a65c3fd3380e2f [label=\"bd\\nd\"];\n",
1078       "bda daba nd7f11536d8df400d860ac372d1c3e9f8 [label=\"bda\\ndaba\"];\n",
1079       "bd dab nb1bf7b9e21a64b30a7a536a9b8649e56 [label=\"bd\\ndab\"];\n",
1080       "bd da nb0329d485ca14bfaa79caa33670a8699 [label=\"bd\\nda\"];\n",
1081       "bd d ne91eaaeffb1443639b733682718f4092 [label=\"bd\\nd\"];\n",
1082       "bda dab n115e972256cc4394a1eba134f114e4ab [label=\"bda\\ndab\"];\n",
1083       "bda da na78115224d9f4e37b4045f6c30e4ceb1 [label=\"bda\\nda\"];\n",
1084       "bdab dabaa nad799597664c441f9ccedc62f06247bb [label=\"bdab\\ndabaa\"];\n",
1085       "bdab daba n55c3278b1aea4bdc92b3d5eb3c09366c [label=\"bdab\\ndaba\"];\n",
1086       "bdab dab n5d2503b1d062482b898e4682240dcc78 [label=\"bdab\\ndab\"];\n",
1087       "bdabc dabaab nd6bf8394c44b4af79b2a91534ba13317 [label=\"bdabc\\ndabaab\"];\n",
1088       "bdabc dabaa ne856116c734a46b1967bddb73c56140f [label=\"bdabc\\ndabaa\"];\n",
1089       "bdabc daba ne0497380dcb04eb9b64499dca04e370b [label=\"bdabc\\ndaba\"];\n",
1090       "bdabcc dabaabca na1b07d40913a48a89651e06846c27489 [label=\"bdabcc\\ndabaabca\"];\n",
1091       "bdabcc dabaabc nf7b9fd837f974551b0795d7492210e52 [label=\"bdabcc\\ndabaabc\"];\n",
1092       "bdabc dabaab n753dfbdd86b543cbb9b246e976d31406 [label=\"bdabc\\ndabaab\"];\n",
1093       "bdabc dabaa na21720c117704e02910b868caeddb9a9 [label=\"bdabc\\ndabaa\"];\n",
1094       "bdabc daba nb1bec31f0ddf4a888f941702a407906f [label=\"bdabc\\ndaba\"];\n",
1095       "bdabcc dabaab n556f3f77789b40f0b332b55e20828606 [label=\"bdabcc\\ndabaab\"];\n",
1096       "bdabcc dabaa n5b6173aea18d41f8b4a2c5ce99cc4d7a [label=\"bdabcc\\ndabaa\"];\n",
1097       "nae20c69b2c4d4ea2a239af485ca10f16 [label=\"bdabcc\\ndabaabcacb\"];\n",
1098       "nae20c69b2c4d4ea2a239af485ca10f16 -> nac3868f0d46645ca8bf1b02110448236;\n",
1099       "nac3868f0d46645ca8bf1b02110448236 [label=\"bdabcc\\ndabaabcac\"];\n",
1100       "nac3868f0d46645ca8bf1b02110448236 -> nf5a124f6b457426eaa13f9d58a716fe1;\n",
1101       "nac3868f0d46645ca8bf1b02110448236 -> na1b07d40913a48a89651e06846c27489;\n",
1102       "nf5a124f6b457426eaa13f9d58a716fe1 [label=\"bdabc\\ndabaabca\"];\n",
1103       "nf5a124f6b457426eaa13f9d58a716fe1 -> nf82bf143985849a9a14d7272ab8be040;\n",
1104       "nf82bf143985849a9a14d7272ab8be040 [label=\"bdabc\\ndabaabc\"];\n",
1105       "nf82bf143985849a9a14d7272ab8be040 -> nf5694edb16d84740ad75d3c3a9dc33f4;\n",
1106       "nf82bf143985849a9a14d7272ab8be040 -> nd6bf8394c44b4af79b2a91534ba13317;\n",
1107       "nf5694edb16d84740ad75d3c3a9dc33f4 [label=\"bdab\\ndabaab\"];\n",
1108       "nf5694edb16d84740ad75d3c3a9dc33f4 -> n7734cd7f92a34a3bbb223dac592bd496;\n",
1109       "nf5694edb16d84740ad75d3c3a9dc33f4 -> nad799597664c441f9ccedc62f06247bb;\n",
1110       "n7734cd7f92a34a3bbb223dac592bd496 [label=\"bda\\ndabaa\"];\n",
1111       "n7734cd7f92a34a3bbb223dac592bd496 -> nf51d59c7071c4725a4e961fd017fd0b6;\n",
1112       "n7734cd7f92a34a3bbb223dac592bd496 -> nd7f11536d8df400d860ac372d1c3e9f8;\n",
1113       "nf51d59c7071c4725a4e961fd017fd0b6 [label=\"bd\\ndaba\"];\n",
1114       "nf51d59c7071c4725a4e961fd017fd0b6 -> n48a2b0c66af943439d0c9767e9181c50;\n",
1115       "n48a2b0c66af943439d0c9767e9181c50 [label=\"bd\\ndab\"];\n",
1116       "n48a2b0c66af943439d0c9767e9181c50 -> nfee98ef394994c0b9664921c73ae7882;\n",
1117       "nfee98ef394994c0b9664921c73ae7882 [label=\"bd\\nda\"];\n",
1118       "nfee98ef394994c0b9664921c73ae7882 -> n077956a8b783437ba5a65c3fd3380e2f;\n",
1119       "n077956a8b783437ba5a65c3fd3380e2f [label=\"bd\\nd\\nFalse\"];\n",
1120       "nd7f11536d8df400d860ac372d1c3e9f8 [label=\"bda\\ndaba\"];\n",
1121       "nd7f11536d8df400d860ac372d1c3e9f8 -> nb1bf7b9e21a64b30a7a536a9b8649e56;\n",
1122       "nd7f11536d8df400d860ac372d1c3e9f8 -> n115e972256cc4394a1eba134f114e4ab;\n",
1123       "nb1bf7b9e21a64b30a7a536a9b8649e56 [label=\"bd\\ndab\"];\n",
1124       "nb1bf7b9e21a64b30a7a536a9b8649e56 -> nb0329d485ca14bfaa79caa33670a8699;\n",
1125       "nb0329d485ca14bfaa79caa33670a8699 [label=\"bd\\nda\"];\n",
1126       "nb0329d485ca14bfaa79caa33670a8699 -> ne91eaaeffb1443639b733682718f4092;\n",
1127       "ne91eaaeffb1443639b733682718f4092 [label=\"bd\\nd\\nFalse\"];\n",
1128       "n115e972256cc4394a1eba134f114e4ab [label=\"bda\\ndab\"];\n",
1129       "n115e972256cc4394a1eba134f114e4ab -> na78115224d9f4e37b4045f6c30e4ceb1;\n",
1130       "na78115224d9f4e37b4045f6c30e4ceb1 [label=\"bda\\nda\\nFalse\"];\n",
1131       "nad799597664c441f9ccedc62f06247bb [label=\"bdab\\ndabaa\"];\n",
1132       "nad799597664c441f9ccedc62f06247bb -> n55c3278b1aea4bdc92b3d5eb3c09366c;\n",
1133       "n55c3278b1aea4bdc92b3d5eb3c09366c [label=\"bdab\\ndaba\"];\n",
1134       "n55c3278b1aea4bdc92b3d5eb3c09366c -> n5d2503b1d062482b898e4682240dcc78;\n",
1135       "n5d2503b1d062482b898e4682240dcc78 [label=\"bdab\\ndab\\nFalse\"];\n",
1136       "nd6bf8394c44b4af79b2a91534ba13317 [label=\"bdabc\\ndabaab\"];\n",
1137       "nd6bf8394c44b4af79b2a91534ba13317 -> ne856116c734a46b1967bddb73c56140f;\n",
1138       "ne856116c734a46b1967bddb73c56140f [label=\"bdabc\\ndabaa\"];\n",
1139       "ne856116c734a46b1967bddb73c56140f -> ne0497380dcb04eb9b64499dca04e370b;\n",
1140       "ne0497380dcb04eb9b64499dca04e370b [label=\"bdabc\\ndaba\\nFalse\"];\n",
1141       "na1b07d40913a48a89651e06846c27489 [label=\"bdabcc\\ndabaabca\"];\n",
1142       "na1b07d40913a48a89651e06846c27489 -> nf7b9fd837f974551b0795d7492210e52;\n",
1143       "nf7b9fd837f974551b0795d7492210e52 [label=\"bdabcc\\ndabaabc\"];\n",
1144       "nf7b9fd837f974551b0795d7492210e52 -> n753dfbdd86b543cbb9b246e976d31406;\n",
1145       "nf7b9fd837f974551b0795d7492210e52 -> n556f3f77789b40f0b332b55e20828606;\n",
1146       "n753dfbdd86b543cbb9b246e976d31406 [label=\"bdabc\\ndabaab\"];\n",
1147       "n753dfbdd86b543cbb9b246e976d31406 -> na21720c117704e02910b868caeddb9a9;\n",
1148       "na21720c117704e02910b868caeddb9a9 [label=\"bdabc\\ndabaa\"];\n",
1149       "na21720c117704e02910b868caeddb9a9 -> nb1bec31f0ddf4a888f941702a407906f;\n",
1150       "nb1bec31f0ddf4a888f941702a407906f [label=\"bdabc\\ndaba\\nFalse\"];\n",
1151       "n556f3f77789b40f0b332b55e20828606 [label=\"bdabcc\\ndabaab\"];\n",
1152       "n556f3f77789b40f0b332b55e20828606 -> n5b6173aea18d41f8b4a2c5ce99cc4d7a;\n",
1153       "n5b6173aea18d41f8b4a2c5ce99cc4d7a [label=\"bdabcc\\ndabaa\\nFalse\"];\n"
1154      ]
1155     }
1156    ],
1157    "source": [
1158     "root, graph = is_subseq_recursive_dot('bdabcc', 'dabaabcacb')\n",
1159     "print('\\n'.join(graph))"
1160    ]
1161   },
1162   {
1163    "cell_type": "code",
1164    "execution_count": 30,
1165    "metadata": {
1166     "collapsed": true
1167    },
1168    "outputs": [],
1169    "source": [
1170     "def make_string(length, alphabet=None):\n",
1171     "    if not alphabet:\n",
1172     "        alphabet = 'abcdefgh'\n",
1173     "    return ''.join(random.choice(alphabet) for _ in range(length)) "
1174    ]
1175   },
1176   {
1177    "cell_type": "code",
1178    "execution_count": 31,
1179    "metadata": {
1180     "collapsed": true
1181    },
1182    "outputs": [],
1183    "source": [
1184     "def interleave(s1, s2, wander_limit=10, debug=False):\n",
1185     "    i1 = i2 = wander = 0\n",
1186     "    interleaved = []\n",
1187     "    while i1 <= len(s1) and i2 <= len(s2):\n",
1188     "        if i1 == len(s1):\n",
1189     "            if debug: print(i1, i2, wander, 'remaining s2', s2[i2:])\n",
1190     "            interleaved += s2[i2:]\n",
1191     "            i2 = len(s2) + 1\n",
1192     "        elif i2 == len(s2):\n",
1193     "            if debug: print(i1, i2, wander, 'remaining s1', s1[i1:])\n",
1194     "            interleaved += s1[i1:]\n",
1195     "            i1 = len(s1) + 1\n",
1196     "        else:\n",
1197     "            if wander == wander_limit:\n",
1198     "                step = -1\n",
1199     "            elif wander == -wander_limit:\n",
1200     "                step = +1\n",
1201     "            else:\n",
1202     "                step = random.choice([+1, -1])\n",
1203     "            if step == +1:\n",
1204     "                if debug: print(i1, i2, wander, 'adding', s1[i1])\n",
1205     "                interleaved += s1[i1]\n",
1206     "                i1 += 1\n",
1207     "                wander += 1\n",
1208     "            else:\n",
1209     "                if debug: print(i1, i2, wander, 'adding', s2[i2])\n",
1210     "                interleaved += s2[i2]\n",
1211     "                i2 += 1\n",
1212     "                wander -= 1\n",
1213     "    return ''.join(interleaved)"
1214    ]
1215   },
1216   {
1217    "cell_type": "code",
1218    "execution_count": 32,
1219    "metadata": {
1220     "collapsed": true
1221    },
1222    "outputs": [],
1223    "source": [
1224     "sl1 = make_string(200)\n",
1225     "sl2 = make_string(200)\n",
1226     "sl3 = make_string(200)\n",
1227     "sl12 = interleave(sl1, sl2)\n",
1228     "sl23 = interleave(sl2, sl3)"
1229    ]
1230   },
1231   {
1232    "cell_type": "code",
1233    "execution_count": 33,
1234    "metadata": {},
1235    "outputs": [
1236     {
1237      "data": {
1238       "text/plain": [
1239        "(True, False)"
1240       ]
1241      },
1242      "execution_count": 33,
1243      "metadata": {},
1244      "output_type": "execute_result"
1245     }
1246    ],
1247    "source": [
1248     "is_subseq(sl1, sl12), is_subseq(sl1, sl23)"
1249    ]
1250   },
1251   {
1252    "cell_type": "code",
1253    "execution_count": 34,
1254    "metadata": {},
1255    "outputs": [
1256     {
1257      "ename": "KeyboardInterrupt",
1258      "evalue": "",
1259      "output_type": "error",
1260      "traceback": [
1261       "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
1262       "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
1263       "\u001b[0;32m<ipython-input-34-eda82ff11b83>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msl1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msl12\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msl1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msl23\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1264       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1265       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1266       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1267       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1268       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1269       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1270       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1271       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1272       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1273       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1274       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1275       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1276       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1277       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1278       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1279       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1280       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1281       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1282       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1283       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1284       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1285       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1286       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1287       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1288       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1289       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1290       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1291       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1292       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1293       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1294       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1295       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1296       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1297       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1298       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1299       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1300       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1301       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1302       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1303       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1304       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1305       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1306       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1307       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1308       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1309       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1310       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1311       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1312       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1313       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1314       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1315       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1316       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1317       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1318       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1319       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1320       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1321       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1322       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1323       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1324       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1325       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1326       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1327       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1328       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1329       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1330       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1331       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1332       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1333       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1334       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1335       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1336       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1337       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1338       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1339       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1340       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1341       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1342       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1343       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1344       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1345       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1346       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1347       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1348       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1349       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1350       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1351       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1352       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1353       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1354       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1355       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1356       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1357       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1358       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1359       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1360       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1361       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1362       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1363       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1364       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1365       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1366       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1367       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1368       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1369       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1370       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1371       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1372       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1373       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1374       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1375       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1376       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1377       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1378       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1379       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1380       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1381       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1382       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1383       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1384       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1385       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1386       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1387       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1388       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1389       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1390       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1391       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1392       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1393       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1394       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1395       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1396       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1397       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1398       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1399       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1400       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1401       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1402       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1403       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1404       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1405       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1406       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1407       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1408       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1409       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1410       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1411       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1412       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1413       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1414       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1415       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1416       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1417       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1418       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1419       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1420       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1421       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1422       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1423       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1424       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1425       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1426       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1427       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1428       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1429       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1430       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1431       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1432       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1433       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1434       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1435       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1436       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1437       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1438       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1439       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1440       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1441       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1442       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1443       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1444       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1445       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1446       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1447       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1448       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1449       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1450       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1451       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1452       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1453       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1454       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1455       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      8\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
1456       "\u001b[0;32m<ipython-input-27-a1548a276049>\u001b[0m in \u001b[0;36mis_subseq_recursive\u001b[0;34m(s1, s2)\u001b[0m\n\u001b[1;32m      6\u001b[0m     \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      9\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mis_subseq_recursive\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ms2\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
1457       "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
1458      ]
1459     }
1460    ],
1461    "source": [
1462     "is_subseq_recursive(sl1, sl12), is_subseq_recursive(sl1, sl23)"
1463    ]
1464   },
1465   {
1466    "cell_type": "code",
1467    "execution_count": 35,
1468    "metadata": {
1469     "collapsed": true
1470    },
1471    "outputs": [],
1472    "source": [
1473     "import timeit"
1474    ]
1475   },
1476   {
1477    "cell_type": "code",
1478    "execution_count": 90,
1479    "metadata": {
1480     "scrolled": true
1481    },
1482    "outputs": [
1483     {
1484      "name": "stdout",
1485      "output_type": "stream",
1486      "text": [
1487       "1 128 6.601971108466387e-06\n",
1488       "2 128 1.1173018720000982e-05\n",
1489       "3 128 1.7676036804914474e-05\n",
1490       "4 128 2.5538960471749306e-05\n",
1491       "5 128 3.5266566555947065e-05\n",
1492       "6 128 4.612101474776864e-05\n",
1493       "7 128 5.9491489082574844e-05\n",
1494       "8 128 7.708946941420436e-05\n",
1495       "9 128 9.241350926458836e-05\n",
1496       "10 128 0.00011261552572250366\n",
1497       "11 128 0.00013369298540055752\n",
1498       "12 128 0.00015364354476332664\n",
1499       "13 128 0.00018264143727719784\n",
1500       "14 128 0.00021015095990151167\n",
1501       "15 128 0.0002313450095243752\n",
1502       "16 128 0.0002656164579093456\n",
1503       "17 128 0.00030093902023509145\n",
1504       "18 128 0.00034747645258903503\n",
1505       "19 128 0.00038037047488614917\n",
1506       "20 128 0.00039016600931063294\n",
1507       "21 128 0.0004141985555179417\n",
1508       "22 128 0.0004589990130625665\n",
1509       "23 128 0.0005071259802207351\n",
1510       "24 128 0.000558166007976979\n",
1511       "25 128 0.0006022494635544717\n",
1512       "26 128 0.000670306442771107\n",
1513       "27 128 0.0007114085019566119\n",
1514       "28 128 0.0007825554930604994\n",
1515       "29 128 0.0008297829772345722\n",
1516       "30 128 0.0009118785383179784\n",
1517       "31 128 0.0009387695463374257\n",
1518       "32 128 0.0010290474747307599\n",
1519       "33 128 0.0010991995804943144\n",
1520       "34 128 0.001162782427854836\n",
1521       "35 128 0.0012630489654839039\n",
1522       "36 128 0.0013626019936054945\n",
1523       "37 128 0.0013828364899381995\n",
1524       "38 128 0.0014394805184565485\n",
1525       "39 128 0.0015522410394623876\n",
1526       "40 128 0.0016528905252926052\n",
1527       "41 128 0.001752416486851871\n",
1528       "42 128 0.0018637359025888145\n",
1529       "43 128 0.0019305709865875542\n",
1530       "44 128 0.0019937875331379473\n",
1531       "45 128 0.002114867966156453\n",
1532       "46 128 0.0021349010639823973\n",
1533       "47 128 0.0022526634857058525\n",
1534       "48 128 0.002346995985135436\n",
1535       "49 128 0.0024804204585961998\n",
1536       "50 128 0.0026001944206655025\n",
1537       "51 128 0.0026794440345838666\n",
1538       "52 128 0.002824594499543309\n",
1539       "53 128 0.0030016429373063147\n",
1540       "54 128 0.003160015563480556\n",
1541       "55 128 0.00318777997745201\n",
1542       "56 128 0.003325541445519775\n",
1543       "57 128 0.0034704965073615313\n",
1544       "58 128 0.0036058140103705227\n",
1545       "59 128 0.0037392310332506895\n",
1546       "60 128 0.0037602405063807964\n",
1547       "61 128 0.003874778456520289\n",
1548       "62 128 0.004084868531208485\n",
1549       "63 128 0.004155766975600272\n",
1550       "64 128 0.004267089010681957\n",
1551       "65 128 0.004337636521086097\n",
1552       "66 128 0.0044974255142733455\n",
1553       "67 128 0.004694238479714841\n",
1554       "68 128 0.004869959433563054\n",
1555       "69 128 0.004944236483424902\n",
1556       "70 128 0.005068219965323806\n",
1557       "71 128 0.005291507521178573\n",
1558       "72 128 0.005452780984342098\n",
1559       "73 128 0.005550310015678406\n",
1560       "74 128 0.005827677552588284\n",
1561       "75 128 0.005954194464720786\n",
1562       "76 128 0.006162200937978923\n",
1563       "77 128 0.006293880462180823\n",
1564       "78 128 0.006430666020605713\n",
1565       "79 128 0.006628004543017596\n",
1566       "80 128 0.006773526547476649\n",
1567       "81 128 0.006877631531096995\n",
1568       "82 128 0.007066302059683949\n",
1569       "83 128 0.007277273049112409\n",
1570       "84 128 0.0074174615438096225\n",
1571       "85 128 0.007571773545350879\n",
1572       "86 128 0.007751822471618652\n",
1573       "87 128 0.007897154020611197\n",
1574       "88 128 0.008157184987794608\n",
1575       "89 128 0.008307107957080007\n",
1576       "90 128 0.008498225477524102\n",
1577       "91 128 0.008694847987499088\n",
1578       "92 128 0.008919386542402208\n",
1579       "93 128 0.009161543508525938\n",
1580       "94 128 0.00944519997574389\n",
1581       "95 128 0.00951321900356561\n",
1582       "96 128 0.009540809493046254\n",
1583       "97 128 0.010032013524323702\n",
1584       "98 128 0.010202373494394124\n",
1585       "99 128 0.010228634462691844\n",
1586       "100 128 0.010533473512623459\n",
1587       "101 128 0.01096995797706768\n",
1588       "102 128 0.011132450483273715\n",
1589       "103 128 0.01138017192715779\n",
1590       "104 128 0.011960987467318773\n",
1591       "105 128 0.012275321991182864\n",
1592       "106 128 0.01236614998197183\n",
1593       "107 128 0.012787212966941297\n",
1594       "108 128 0.013005171960685402\n",
1595       "109 128 0.013409941457211971\n",
1596       "110 128 0.013808032497763634\n"
1597      ]
1598     }
1599    ],
1600    "source": [
1601     "times_recorded_dp = {}\n",
1602     "cont = True\n",
1603     "reps = 128\n",
1604     "l = 1\n",
1605     "\n",
1606     "setup_code = \"\"\"sl1 = make_string(l) ;\n",
1607     "sl2 = make_string(l) ;\n",
1608     "sl3 = make_string(l) ;\n",
1609     "sl12 = interleave(sl1, sl2) ;\n",
1610     "sl23 = interleave(sl2, sl3)\"\"\"\n",
1611     "\n",
1612     "while cont:\n",
1613     "\n",
1614     "    t = timeit.Timer('is_subseq(sl1, sl12)', \n",
1615     "                          'l = {} ; '.format(l) + setup_code, \n",
1616     "                          globals=globals())\n",
1617     "    stime = min(t.repeat(reps, number=1))\n",
1618     "    t = timeit.Timer('is_subseq(sl1, sl23)', \n",
1619     "                          'l = {} ; '.format(l) + setup_code, \n",
1620     "                          globals=globals())\n",
1621     "    ftime = min(t.repeat(reps, number=1))   \n",
1622     "    times_recorded_dp[l] = (stime + ftime ) / 2\n",
1623     "    print(l, reps, times_recorded_dp[l])\n",
1624     "    l += 1\n",
1625     "    if stime * reps > 10:\n",
1626     "        reps = reps // 2\n",
1627     "    if reps <= 1:\n",
1628     "        cont = False\n",
1629     "    if l > 110:\n",
1630     "        cont = False\n",
1631     "    "
1632    ]
1633   },
1634   {
1635    "cell_type": "code",
1636    "execution_count": 69,
1637    "metadata": {
1638     "scrolled": true
1639    },
1640    "outputs": [
1641     {
1642      "name": "stdout",
1643      "output_type": "stream",
1644      "text": [
1645       "1 128 1.4614779502153397e-06\n",
1646       "2 128 2.2249878384172916e-06\n",
1647       "3 128 3.04199056699872e-06\n",
1648       "4 128 3.817433025687933e-06\n",
1649       "5 128 4.5790220610797405e-06\n",
1650       "6 128 5.405454430729151e-06\n",
1651       "7 128 6.143003702163696e-06\n",
1652       "8 128 7.1534886956214905e-06\n",
1653       "9 128 7.709488272666931e-06\n",
1654       "10 128 9.231502190232277e-06\n",
1655       "11 128 9.659503120929003e-06\n",
1656       "12 128 1.1146999895572662e-05\n",
1657       "13 128 1.3675540685653687e-05\n",
1658       "14 128 1.4537479728460312e-05\n",
1659       "15 128 1.726200571283698e-05\n",
1660       "16 128 2.175051486119628e-05\n",
1661       "17 128 2.642604522407055e-05\n",
1662       "18 128 2.882845001295209e-05\n",
1663       "19 128 3.30429757013917e-05\n",
1664       "20 128 3.415101673454046e-05\n",
1665       "21 128 4.3374544475227594e-05\n",
1666       "22 128 4.3387000914663076e-05\n",
1667       "23 128 5.406048148870468e-05\n",
1668       "24 128 7.064553210511804e-05\n",
1669       "25 128 6.675999611616135e-05\n",
1670       "26 128 7.653201464563608e-05\n",
1671       "27 128 8.046295261010528e-05\n",
1672       "28 128 8.30040080472827e-05\n",
1673       "29 128 9.860144928097725e-05\n",
1674       "30 128 0.00012834451626986265\n",
1675       "31 128 0.00012909498764202\n",
1676       "32 128 0.00015940150478854775\n",
1677       "33 128 0.00017911155009642243\n",
1678       "34 128 0.00015924405306577682\n",
1679       "35 128 0.00019503897055983543\n",
1680       "36 128 0.0002618280122987926\n",
1681       "37 128 0.00027317157946527004\n",
1682       "38 128 0.0003093755221925676\n",
1683       "39 128 0.0003216919722035527\n",
1684       "40 128 0.0004375210264697671\n",
1685       "41 128 0.000429175968747586\n",
1686       "42 128 0.0004322319873608649\n",
1687       "43 128 0.00047204853035509586\n",
1688       "44 128 0.0005446930299513042\n",
1689       "45 128 0.0005909049650654197\n",
1690       "46 128 0.0006897440180182457\n",
1691       "47 128 0.0006101980106905103\n",
1692       "48 128 0.0009493179968558252\n",
1693       "49 128 0.0010656820377334952\n",
1694       "50 128 0.0010958575294353068\n",
1695       "51 128 0.0011784244561567903\n",
1696       "52 128 0.0015215784660540521\n",
1697       "53 128 0.0016730880015529692\n",
1698       "54 128 0.0018497870187275112\n",
1699       "55 128 0.0019531224970705807\n",
1700       "56 128 0.002047635498456657\n",
1701       "57 128 0.002590053016319871\n",
1702       "58 128 0.00282047048676759\n",
1703       "59 128 0.0028463290072977543\n",
1704       "60 128 0.003852981433738023\n",
1705       "61 128 0.003954462939873338\n",
1706       "62 128 0.005894984060432762\n",
1707       "63 128 0.003989071468822658\n",
1708       "64 128 0.005397962988354266\n",
1709       "65 128 0.005613878485746682\n",
1710       "66 128 0.006631733034737408\n",
1711       "67 128 0.006388595968019217\n",
1712       "68 128 0.008692775038070977\n",
1713       "69 128 0.011248551483731717\n",
1714       "70 128 0.01025481807300821\n",
1715       "71 128 0.012467472988646477\n",
1716       "72 128 0.012154755007941276\n",
1717       "73 128 0.01328759198077023\n",
1718       "74 128 0.014517615491058677\n",
1719       "75 128 0.014188894943799824\n",
1720       "76 128 0.02000475104432553\n",
1721       "77 128 0.008263764902949333\n",
1722       "78 128 0.027680979983415455\n",
1723       "79 128 0.026263607025612146\n",
1724       "80 128 0.029358336003497243\n",
1725       "81 128 0.019039819424506277\n",
1726       "82 128 0.030424615542870015\n",
1727       "83 128 0.05704057845287025\n",
1728       "84 64 0.054549605934880674\n",
1729       "85 64 0.10833553707925603\n",
1730       "86 32 0.07274995249463245\n",
1731       "87 32 0.1189103105571121\n",
1732       "88 32 0.11648729699663818\n",
1733       "89 32 0.08882703294511884\n",
1734       "90 32 0.16369645803933963\n",
1735       "91 16 0.37688057048944756\n",
1736       "92 8 0.20311490900348872\n",
1737       "93 8 0.13178699905984104\n",
1738       "94 8 0.6466444740071893\n",
1739       "95 4 0.9140647805761546\n",
1740       "96 4 1.9596780224819668\n",
1741       "97 2 2.149461797962431\n",
1742       "98 2 1.419025840528775\n",
1743       "99 2 0.9921340015134774\n",
1744       "100 2 0.9624096675543115\n",
1745       "101 2 1.5941892554983497\n",
1746       "102 2 1.6760708974907175\n",
1747       "103 2 2.177948990953155\n",
1748       "104 2 12.678528299031314\n"
1749      ]
1750     }
1751    ],
1752    "source": [
1753     "times_recorded_r = {}\n",
1754     "cont = True\n",
1755     "reps = 128\n",
1756     "l = 1\n",
1757     "\n",
1758     "setup_code = \"\"\"sl1 = make_string(l) ;\n",
1759     "sl2 = make_string(l) ;\n",
1760     "sl3 = make_string(l) ;\n",
1761     "sl12 = interleave(sl1, sl2) ;\n",
1762     "sl23 = interleave(sl2, sl3)\"\"\"\n",
1763     "\n",
1764     "while cont:\n",
1765     "#     stime = timeit.timeit('is_subseq_recursive(sl1, sl12)', \n",
1766     "#                           'l = {} ; '.format(l) + setup_code, \n",
1767     "#                           globals=globals(), number=reps) / reps\n",
1768     "#     ftime = timeit.timeit('is_subseq_recursive(sl1, sl23)', \n",
1769     "#                           'l = {} ; '.format(l) + setup_code, \n",
1770     "#                           globals=globals(), number=reps) / reps\n",
1771     "    t = timeit.Timer('is_subseq_recursive(sl1, sl12)', \n",
1772     "                          'l = {} ; '.format(l) + setup_code, \n",
1773     "                          globals=globals())\n",
1774     "    stime = min(t.repeat(reps,number=1))\n",
1775     "    t = timeit.Timer('is_subseq_recursive(sl1, sl23)', \n",
1776     "                          'l = {} ; '.format(l) + setup_code, \n",
1777     "                          globals=globals())\n",
1778     "    ftime = min(t.repeat(reps, number=1))   \n",
1779     "    times_recorded_r[l] = (stime + ftime ) / 2\n",
1780     "    print(l, reps, times_recorded_r[l])\n",
1781     "    l += 1\n",
1782     "    if stime * reps > 10:\n",
1783     "        reps = reps // 2\n",
1784     "    if reps <= 1:\n",
1785     "        cont = False\n",
1786     "    "
1787    ]
1788   },
1789   {
1790    "cell_type": "code",
1791    "execution_count": 70,
1792    "metadata": {
1793     "scrolled": true
1794    },
1795    "outputs": [
1796     {
1797      "name": "stdout",
1798      "output_type": "stream",
1799      "text": [
1800       "1 128 8.884817361831665e-07\n",
1801       "2 128 2.034998033195734e-06\n",
1802       "3 128 2.758519258350134e-06\n",
1803       "4 128 3.492517862468958e-06\n",
1804       "5 128 4.411558620631695e-06\n",
1805       "6 128 4.7970679588615894e-06\n",
1806       "7 128 5.636480636894703e-06\n",
1807       "8 128 6.429501809179783e-06\n",
1808       "9 128 8.435978088527918e-06\n",
1809       "10 128 8.897040970623493e-06\n",
1810       "11 128 9.417475666850805e-06\n",
1811       "12 128 1.0774005204439163e-05\n",
1812       "13 128 1.4505523722618818e-05\n",
1813       "14 128 1.56490714289248e-05\n",
1814       "15 128 1.618947135284543e-05\n",
1815       "16 128 2.0946492440998554e-05\n",
1816       "17 128 2.3907457944005728e-05\n",
1817       "18 128 2.4928071070462465e-05\n",
1818       "19 128 2.8219015803188086e-05\n",
1819       "20 128 3.5653007216751575e-05\n",
1820       "21 128 3.706448478624225e-05\n",
1821       "22 128 4.079949576407671e-05\n",
1822       "23 128 4.724744940176606e-05\n",
1823       "24 128 5.7765981182456017e-05\n",
1824       "25 128 7.110205478966236e-05\n",
1825       "26 128 6.68570282869041e-05\n",
1826       "27 128 7.0950947701931e-05\n",
1827       "28 128 9.183702059090137e-05\n",
1828       "29 128 9.083998156711459e-05\n",
1829       "30 128 0.00012720248196274042\n",
1830       "31 128 0.00014033797197043896\n",
1831       "32 128 0.0001420410117134452\n",
1832       "33 128 0.00017444993136450648\n",
1833       "34 128 0.00017753150314092636\n",
1834       "35 128 0.0002434045309200883\n",
1835       "36 128 0.00020685751223936677\n",
1836       "37 128 0.0002980435383506119\n",
1837       "38 128 0.00036001147236675024\n",
1838       "39 128 0.0003045969642698765\n",
1839       "40 128 0.0003779904800467193\n",
1840       "41 128 0.00034402357414364815\n",
1841       "42 128 0.0004229460028000176\n",
1842       "43 128 0.000507067481521517\n",
1843       "44 128 0.000598300015553832\n",
1844       "45 128 0.0005493310163728893\n",
1845       "46 128 0.000664012972265482\n",
1846       "47 128 0.0008666850044392049\n",
1847       "48 128 0.0008997629629448056\n",
1848       "49 128 0.0008234439883381128\n",
1849       "50 128 0.0013693950022570789\n",
1850       "51 128 0.0013514914899133146\n",
1851       "52 128 0.0019259459804743528\n",
1852       "53 128 0.0018100804882124066\n",
1853       "54 128 0.001936097047291696\n",
1854       "55 128 0.0017529000178910792\n",
1855       "56 128 0.0016716280370019376\n",
1856       "57 128 0.0021720639197155833\n",
1857       "58 128 0.0024625635123811662\n",
1858       "59 128 0.003573566034901887\n",
1859       "60 128 0.0031627400312572718\n",
1860       "61 128 0.0027249615523032844\n",
1861       "62 128 0.004961121478118002\n",
1862       "63 128 0.0063315784791484475\n",
1863       "64 128 0.008300232526380569\n",
1864       "65 128 0.008154927054420114\n",
1865       "66 128 0.007548200490418822\n",
1866       "67 128 0.008760973054450005\n",
1867       "68 128 0.008141790516674519\n",
1868       "69 128 0.008250089013017714\n",
1869       "70 128 0.010327896510716528\n",
1870       "71 128 0.009718743502162397\n",
1871       "72 128 0.019843538000714034\n",
1872       "73 128 0.01803048700094223\n",
1873       "74 128 0.019597515580244362\n",
1874       "75 128 0.019393193535506725\n",
1875       "76 128 0.02004180650692433\n",
1876       "77 128 0.028443017974495888\n",
1877       "78 128 0.017402471450623125\n",
1878       "79 128 0.029057362000457942\n",
1879       "80 128 0.02609148499323055\n",
1880       "81 128 0.02800373249920085\n",
1881       "82 128 0.03854370198678225\n",
1882       "83 128 0.047431926999706775\n",
1883       "84 64 0.05365822894964367\n",
1884       "85 64 0.07952620997093618\n",
1885       "86 32 0.11244358099065721\n",
1886       "87 32 0.08979999151779339\n",
1887       "88 32 0.12574247998418286\n",
1888       "89 32 0.10865734395338222\n",
1889       "90 32 0.19780107750557363\n",
1890       "91 16 0.2107998769497499\n",
1891       "92 16 0.2024802175583318\n",
1892       "93 16 0.41546207800274715\n",
1893       "94 8 0.282537228486035\n",
1894       "95 8 0.34043588204076514\n",
1895       "96 8 0.946704204485286\n",
1896       "97 4 2.07305044750683\n",
1897       "98 2 0.9190455324715003\n",
1898       "99 2 0.5788108735578135\n",
1899       "100 2 2.7352834560442716\n",
1900       "101 2 1.87139827554347\n",
1901       "102 2 2.684197551512625\n",
1902       "103 2 1.615786965470761\n",
1903       "104 2 4.937537866004277\n"
1904      ]
1905     }
1906    ],
1907    "source": [
1908     "times_recorded_r2 = {}\n",
1909     "cont = True\n",
1910     "reps = 128\n",
1911     "l = 1\n",
1912     "\n",
1913     "setup_code = \"\"\"sl1 = make_string(l) ;\n",
1914     "sl2 = make_string(l) ;\n",
1915     "sl3 = make_string(l) ;\n",
1916     "sl12 = interleave(sl1, sl2) ;\n",
1917     "sl23 = interleave(sl2, sl3)\"\"\"\n",
1918     "\n",
1919     "while cont:\n",
1920     "    t = timeit.Timer('is_subseq_recursive_2(sl1, sl12)', \n",
1921     "                          'l = {} ; '.format(l) + setup_code, \n",
1922     "                          globals=globals())\n",
1923     "    stime = min(t.repeat(reps, number=1))\n",
1924     "    t = timeit.Timer('is_subseq_recursive_2(sl1, sl23)', \n",
1925     "                          'l = {} ; '.format(l) + setup_code, \n",
1926     "                          globals=globals())\n",
1927     "    ftime = min(t.repeat(reps, number=1))\n",
1928     "    times_recorded_r2[l] = (stime + ftime ) / 2\n",
1929     "    print(l, reps, times_recorded_r2[l])\n",
1930     "    l += 1\n",
1931     "    if stime * reps > 10:\n",
1932     "        reps = reps // 2\n",
1933     "    if reps <= 1:\n",
1934     "        cont = False\n",
1935     "    "
1936    ]
1937   },
1938   {
1939    "cell_type": "code",
1940    "execution_count": 73,
1941    "metadata": {
1942     "scrolled": true
1943    },
1944    "outputs": [
1945     {
1946      "data": {
1947       "text/plain": [
1948        "{1: 8.884817361831665e-07,\n",
1949        " 2: 2.034998033195734e-06,\n",
1950        " 3: 2.758519258350134e-06,\n",
1951        " 4: 3.492517862468958e-06,\n",
1952        " 5: 4.411558620631695e-06,\n",
1953        " 6: 4.7970679588615894e-06,\n",
1954        " 7: 5.636480636894703e-06,\n",
1955        " 8: 6.429501809179783e-06,\n",
1956        " 9: 8.435978088527918e-06,\n",
1957        " 10: 8.897040970623493e-06,\n",
1958        " 11: 9.417475666850805e-06,\n",
1959        " 12: 1.0774005204439163e-05,\n",
1960        " 13: 1.4505523722618818e-05,\n",
1961        " 14: 1.56490714289248e-05,\n",
1962        " 15: 1.618947135284543e-05,\n",
1963        " 16: 2.0946492440998554e-05,\n",
1964        " 17: 2.3907457944005728e-05,\n",
1965        " 18: 2.4928071070462465e-05,\n",
1966        " 19: 2.8219015803188086e-05,\n",
1967        " 20: 3.5653007216751575e-05,\n",
1968        " 21: 3.706448478624225e-05,\n",
1969        " 22: 4.079949576407671e-05,\n",
1970        " 23: 4.724744940176606e-05,\n",
1971        " 24: 5.7765981182456017e-05,\n",
1972        " 25: 7.110205478966236e-05,\n",
1973        " 26: 6.68570282869041e-05,\n",
1974        " 27: 7.0950947701931e-05,\n",
1975        " 28: 9.183702059090137e-05,\n",
1976        " 29: 9.083998156711459e-05,\n",
1977        " 30: 0.00012720248196274042,\n",
1978        " 31: 0.00014033797197043896,\n",
1979        " 32: 0.0001420410117134452,\n",
1980        " 33: 0.00017444993136450648,\n",
1981        " 34: 0.00017753150314092636,\n",
1982        " 35: 0.0002434045309200883,\n",
1983        " 36: 0.00020685751223936677,\n",
1984        " 37: 0.0002980435383506119,\n",
1985        " 38: 0.00036001147236675024,\n",
1986        " 39: 0.0003045969642698765,\n",
1987        " 40: 0.0003779904800467193,\n",
1988        " 41: 0.00034402357414364815,\n",
1989        " 42: 0.0004229460028000176,\n",
1990        " 43: 0.000507067481521517,\n",
1991        " 44: 0.000598300015553832,\n",
1992        " 45: 0.0005493310163728893,\n",
1993        " 46: 0.000664012972265482,\n",
1994        " 47: 0.0008666850044392049,\n",
1995        " 48: 0.0008997629629448056,\n",
1996        " 49: 0.0008234439883381128,\n",
1997        " 50: 0.0013693950022570789,\n",
1998        " 51: 0.0013514914899133146,\n",
1999        " 52: 0.0019259459804743528,\n",
2000        " 53: 0.0018100804882124066,\n",
2001        " 54: 0.001936097047291696,\n",
2002        " 55: 0.0017529000178910792,\n",
2003        " 56: 0.0016716280370019376,\n",
2004        " 57: 0.0021720639197155833,\n",
2005        " 58: 0.0024625635123811662,\n",
2006        " 59: 0.003573566034901887,\n",
2007        " 60: 0.0031627400312572718,\n",
2008        " 61: 0.0027249615523032844,\n",
2009        " 62: 0.004961121478118002,\n",
2010        " 63: 0.0063315784791484475,\n",
2011        " 64: 0.008300232526380569,\n",
2012        " 65: 0.008154927054420114,\n",
2013        " 66: 0.007548200490418822,\n",
2014        " 67: 0.008760973054450005,\n",
2015        " 68: 0.008141790516674519,\n",
2016        " 69: 0.008250089013017714,\n",
2017        " 70: 0.010327896510716528,\n",
2018        " 71: 0.009718743502162397,\n",
2019        " 72: 0.019843538000714034,\n",
2020        " 73: 0.01803048700094223,\n",
2021        " 74: 0.019597515580244362,\n",
2022        " 75: 0.019393193535506725,\n",
2023        " 76: 0.02004180650692433,\n",
2024        " 77: 0.028443017974495888,\n",
2025        " 78: 0.017402471450623125,\n",
2026        " 79: 0.029057362000457942,\n",
2027        " 80: 0.02609148499323055,\n",
2028        " 81: 0.02800373249920085,\n",
2029        " 82: 0.03854370198678225,\n",
2030        " 83: 0.047431926999706775,\n",
2031        " 84: 0.05365822894964367,\n",
2032        " 85: 0.07952620997093618,\n",
2033        " 86: 0.11244358099065721,\n",
2034        " 87: 0.08979999151779339,\n",
2035        " 88: 0.12574247998418286,\n",
2036        " 89: 0.10865734395338222,\n",
2037        " 90: 0.19780107750557363,\n",
2038        " 91: 0.2107998769497499,\n",
2039        " 92: 0.2024802175583318,\n",
2040        " 93: 0.41546207800274715,\n",
2041        " 94: 0.282537228486035,\n",
2042        " 95: 0.34043588204076514,\n",
2043        " 96: 0.946704204485286,\n",
2044        " 97: 2.07305044750683,\n",
2045        " 98: 0.9190455324715003,\n",
2046        " 99: 0.5788108735578135,\n",
2047        " 100: 2.7352834560442716,\n",
2048        " 101: 1.87139827554347,\n",
2049        " 102: 2.684197551512625,\n",
2050        " 103: 1.615786965470761,\n",
2051        " 104: 4.937537866004277}"
2052       ]
2053      },
2054      "execution_count": 73,
2055      "metadata": {},
2056      "output_type": "execute_result"
2057     }
2058    ],
2059    "source": [
2060     "times_recorded_r2"
2061    ]
2062   },
2063   {
2064    "cell_type": "code",
2065    "execution_count": 67,
2066    "metadata": {
2067     "collapsed": true
2068    },
2069    "outputs": [],
2070    "source": [
2071     "import pandas as pd\n",
2072     "\n",
2073     "import matplotlib.pyplot as plt\n",
2074     "%matplotlib inline  "
2075    ]
2076   },
2077   {
2078    "cell_type": "code",
2079    "execution_count": 74,
2080    "metadata": {
2081     "scrolled": true
2082    },
2083    "outputs": [
2084     {
2085      "data": {
2086       "text/html": [
2087        "<div>\n",
2088        "<table border=\"1\" class=\"dataframe\">\n",
2089        "  <thead>\n",
2090        "    <tr style=\"text-align: right;\">\n",
2091        "      <th></th>\n",
2092        "      <th>dp</th>\n",
2093        "      <th>r1</th>\n",
2094        "      <th>r2</th>\n",
2095        "    </tr>\n",
2096        "  </thead>\n",
2097        "  <tbody>\n",
2098        "    <tr>\n",
2099        "      <th>1</th>\n",
2100        "      <td>0.000006</td>\n",
2101        "      <td>0.000001</td>\n",
2102        "      <td>8.884817e-07</td>\n",
2103        "    </tr>\n",
2104        "    <tr>\n",
2105        "      <th>2</th>\n",
2106        "      <td>0.000010</td>\n",
2107        "      <td>0.000002</td>\n",
2108        "      <td>2.034998e-06</td>\n",
2109        "    </tr>\n",
2110        "    <tr>\n",
2111        "      <th>3</th>\n",
2112        "      <td>0.000016</td>\n",
2113        "      <td>0.000003</td>\n",
2114        "      <td>2.758519e-06</td>\n",
2115        "    </tr>\n",
2116        "    <tr>\n",
2117        "      <th>4</th>\n",
2118        "      <td>0.000024</td>\n",
2119        "      <td>0.000004</td>\n",
2120        "      <td>3.492518e-06</td>\n",
2121        "    </tr>\n",
2122        "    <tr>\n",
2123        "      <th>5</th>\n",
2124        "      <td>0.000032</td>\n",
2125        "      <td>0.000005</td>\n",
2126        "      <td>4.411559e-06</td>\n",
2127        "    </tr>\n",
2128        "    <tr>\n",
2129        "      <th>6</th>\n",
2130        "      <td>0.000041</td>\n",
2131        "      <td>0.000005</td>\n",
2132        "      <td>4.797068e-06</td>\n",
2133        "    </tr>\n",
2134        "    <tr>\n",
2135        "      <th>7</th>\n",
2136        "      <td>0.000053</td>\n",
2137        "      <td>0.000006</td>\n",
2138        "      <td>5.636481e-06</td>\n",
2139        "    </tr>\n",
2140        "    <tr>\n",
2141        "      <th>8</th>\n",
2142        "      <td>0.000067</td>\n",
2143        "      <td>0.000007</td>\n",
2144        "      <td>6.429502e-06</td>\n",
2145        "    </tr>\n",
2146        "    <tr>\n",
2147        "      <th>9</th>\n",
2148        "      <td>0.000085</td>\n",
2149        "      <td>0.000008</td>\n",
2150        "      <td>8.435978e-06</td>\n",
2151        "    </tr>\n",
2152        "    <tr>\n",
2153        "      <th>10</th>\n",
2154        "      <td>0.000100</td>\n",
2155        "      <td>0.000009</td>\n",
2156        "      <td>8.897041e-06</td>\n",
2157        "    </tr>\n",
2158        "    <tr>\n",
2159        "      <th>11</th>\n",
2160        "      <td>0.000115</td>\n",
2161        "      <td>0.000010</td>\n",
2162        "      <td>9.417476e-06</td>\n",
2163        "    </tr>\n",
2164        "    <tr>\n",
2165        "      <th>12</th>\n",
2166        "      <td>0.000140</td>\n",
2167        "      <td>0.000011</td>\n",
2168        "      <td>1.077401e-05</td>\n",
2169        "    </tr>\n",
2170        "    <tr>\n",
2171        "      <th>13</th>\n",
2172        "      <td>0.000162</td>\n",
2173        "      <td>0.000014</td>\n",
2174        "      <td>1.450552e-05</td>\n",
2175        "    </tr>\n",
2176        "    <tr>\n",
2177        "      <th>14</th>\n",
2178        "      <td>0.000183</td>\n",
2179        "      <td>0.000015</td>\n",
2180        "      <td>1.564907e-05</td>\n",
2181        "    </tr>\n",
2182        "    <tr>\n",
2183        "      <th>15</th>\n",
2184        "      <td>0.000215</td>\n",
2185        "      <td>0.000017</td>\n",
2186        "      <td>1.618947e-05</td>\n",
2187        "    </tr>\n",
2188        "    <tr>\n",
2189        "      <th>16</th>\n",
2190        "      <td>0.000242</td>\n",
2191        "      <td>0.000022</td>\n",
2192        "      <td>2.094649e-05</td>\n",
2193        "    </tr>\n",
2194        "    <tr>\n",
2195        "      <th>17</th>\n",
2196        "      <td>0.000266</td>\n",
2197        "      <td>0.000026</td>\n",
2198        "      <td>2.390746e-05</td>\n",
2199        "    </tr>\n",
2200        "    <tr>\n",
2201        "      <th>18</th>\n",
2202        "      <td>0.000306</td>\n",
2203        "      <td>0.000029</td>\n",
2204        "      <td>2.492807e-05</td>\n",
2205        "    </tr>\n",
2206        "    <tr>\n",
2207        "      <th>19</th>\n",
2208        "      <td>0.000346</td>\n",
2209        "      <td>0.000033</td>\n",
2210        "      <td>2.821902e-05</td>\n",
2211        "    </tr>\n",
2212        "    <tr>\n",
2213        "      <th>20</th>\n",
2214        "      <td>0.000385</td>\n",
2215        "      <td>0.000034</td>\n",
2216        "      <td>3.565301e-05</td>\n",
2217        "    </tr>\n",
2218        "    <tr>\n",
2219        "      <th>21</th>\n",
2220        "      <td>0.000415</td>\n",
2221        "      <td>0.000043</td>\n",
2222        "      <td>3.706448e-05</td>\n",
2223        "    </tr>\n",
2224        "    <tr>\n",
2225        "      <th>22</th>\n",
2226        "      <td>0.000463</td>\n",
2227        "      <td>0.000043</td>\n",
2228        "      <td>4.079950e-05</td>\n",
2229        "    </tr>\n",
2230        "    <tr>\n",
2231        "      <th>23</th>\n",
2232        "      <td>0.000494</td>\n",
2233        "      <td>0.000054</td>\n",
2234        "      <td>4.724745e-05</td>\n",
2235        "    </tr>\n",
2236        "    <tr>\n",
2237        "      <th>24</th>\n",
2238        "      <td>0.000523</td>\n",
2239        "      <td>0.000071</td>\n",
2240        "      <td>5.776598e-05</td>\n",
2241        "    </tr>\n",
2242        "    <tr>\n",
2243        "      <th>25</th>\n",
2244        "      <td>0.000582</td>\n",
2245        "      <td>0.000067</td>\n",
2246        "      <td>7.110205e-05</td>\n",
2247        "    </tr>\n",
2248        "    <tr>\n",
2249        "      <th>26</th>\n",
2250        "      <td>0.000651</td>\n",
2251        "      <td>0.000077</td>\n",
2252        "      <td>6.685703e-05</td>\n",
2253        "    </tr>\n",
2254        "    <tr>\n",
2255        "      <th>27</th>\n",
2256        "      <td>0.000710</td>\n",
2257        "      <td>0.000080</td>\n",
2258        "      <td>7.095095e-05</td>\n",
2259        "    </tr>\n",
2260        "    <tr>\n",
2261        "      <th>28</th>\n",
2262        "      <td>0.000752</td>\n",
2263        "      <td>0.000083</td>\n",
2264        "      <td>9.183702e-05</td>\n",
2265        "    </tr>\n",
2266        "    <tr>\n",
2267        "      <th>29</th>\n",
2268        "      <td>0.000825</td>\n",
2269        "      <td>0.000099</td>\n",
2270        "      <td>9.083998e-05</td>\n",
2271        "    </tr>\n",
2272        "    <tr>\n",
2273        "      <th>30</th>\n",
2274        "      <td>0.000878</td>\n",
2275        "      <td>0.000128</td>\n",
2276        "      <td>1.272025e-04</td>\n",
2277        "    </tr>\n",
2278        "    <tr>\n",
2279        "      <th>...</th>\n",
2280        "      <td>...</td>\n",
2281        "      <td>...</td>\n",
2282        "      <td>...</td>\n",
2283        "    </tr>\n",
2284        "    <tr>\n",
2285        "      <th>75</th>\n",
2286        "      <td>0.005947</td>\n",
2287        "      <td>0.014189</td>\n",
2288        "      <td>1.939319e-02</td>\n",
2289        "    </tr>\n",
2290        "    <tr>\n",
2291        "      <th>76</th>\n",
2292        "      <td>0.006030</td>\n",
2293        "      <td>0.020005</td>\n",
2294        "      <td>2.004181e-02</td>\n",
2295        "    </tr>\n",
2296        "    <tr>\n",
2297        "      <th>77</th>\n",
2298        "      <td>0.006158</td>\n",
2299        "      <td>0.008264</td>\n",
2300        "      <td>2.844302e-02</td>\n",
2301        "    </tr>\n",
2302        "    <tr>\n",
2303        "      <th>78</th>\n",
2304        "      <td>0.006392</td>\n",
2305        "      <td>0.027681</td>\n",
2306        "      <td>1.740247e-02</td>\n",
2307        "    </tr>\n",
2308        "    <tr>\n",
2309        "      <th>79</th>\n",
2310        "      <td>0.006637</td>\n",
2311        "      <td>0.026264</td>\n",
2312        "      <td>2.905736e-02</td>\n",
2313        "    </tr>\n",
2314        "    <tr>\n",
2315        "      <th>80</th>\n",
2316        "      <td>0.006664</td>\n",
2317        "      <td>0.029358</td>\n",
2318        "      <td>2.609148e-02</td>\n",
2319        "    </tr>\n",
2320        "    <tr>\n",
2321        "      <th>81</th>\n",
2322        "      <td>0.006705</td>\n",
2323        "      <td>0.019040</td>\n",
2324        "      <td>2.800373e-02</td>\n",
2325        "    </tr>\n",
2326        "    <tr>\n",
2327        "      <th>82</th>\n",
2328        "      <td>0.006991</td>\n",
2329        "      <td>0.030425</td>\n",
2330        "      <td>3.854370e-02</td>\n",
2331        "    </tr>\n",
2332        "    <tr>\n",
2333        "      <th>83</th>\n",
2334        "      <td>0.007352</td>\n",
2335        "      <td>0.057041</td>\n",
2336        "      <td>4.743193e-02</td>\n",
2337        "    </tr>\n",
2338        "    <tr>\n",
2339        "      <th>84</th>\n",
2340        "      <td>0.007388</td>\n",
2341        "      <td>0.054550</td>\n",
2342        "      <td>5.365823e-02</td>\n",
2343        "    </tr>\n",
2344        "    <tr>\n",
2345        "      <th>85</th>\n",
2346        "      <td>0.007670</td>\n",
2347        "      <td>0.108336</td>\n",
2348        "      <td>7.952621e-02</td>\n",
2349        "    </tr>\n",
2350        "    <tr>\n",
2351        "      <th>86</th>\n",
2352        "      <td>0.007745</td>\n",
2353        "      <td>0.072750</td>\n",
2354        "      <td>1.124436e-01</td>\n",
2355        "    </tr>\n",
2356        "    <tr>\n",
2357        "      <th>87</th>\n",
2358        "      <td>0.008001</td>\n",
2359        "      <td>0.118910</td>\n",
2360        "      <td>8.979999e-02</td>\n",
2361        "    </tr>\n",
2362        "    <tr>\n",
2363        "      <th>88</th>\n",
2364        "      <td>0.008151</td>\n",
2365        "      <td>0.116487</td>\n",
2366        "      <td>1.257425e-01</td>\n",
2367        "    </tr>\n",
2368        "    <tr>\n",
2369        "      <th>89</th>\n",
2370        "      <td>0.008254</td>\n",
2371        "      <td>0.088827</td>\n",
2372        "      <td>1.086573e-01</td>\n",
2373        "    </tr>\n",
2374        "    <tr>\n",
2375        "      <th>90</th>\n",
2376        "      <td>0.008464</td>\n",
2377        "      <td>0.163696</td>\n",
2378        "      <td>1.978011e-01</td>\n",
2379        "    </tr>\n",
2380        "    <tr>\n",
2381        "      <th>91</th>\n",
2382        "      <td>0.008546</td>\n",
2383        "      <td>0.376881</td>\n",
2384        "      <td>2.107999e-01</td>\n",
2385        "    </tr>\n",
2386        "    <tr>\n",
2387        "      <th>92</th>\n",
2388        "      <td>0.008675</td>\n",
2389        "      <td>0.203115</td>\n",
2390        "      <td>2.024802e-01</td>\n",
2391        "    </tr>\n",
2392        "    <tr>\n",
2393        "      <th>93</th>\n",
2394        "      <td>0.009046</td>\n",
2395        "      <td>0.131787</td>\n",
2396        "      <td>4.154621e-01</td>\n",
2397        "    </tr>\n",
2398        "    <tr>\n",
2399        "      <th>94</th>\n",
2400        "      <td>0.009209</td>\n",
2401        "      <td>0.646644</td>\n",
2402        "      <td>2.825372e-01</td>\n",
2403        "    </tr>\n",
2404        "    <tr>\n",
2405        "      <th>95</th>\n",
2406        "      <td>0.009408</td>\n",
2407        "      <td>0.914065</td>\n",
2408        "      <td>3.404359e-01</td>\n",
2409        "    </tr>\n",
2410        "    <tr>\n",
2411        "      <th>96</th>\n",
2412        "      <td>0.009638</td>\n",
2413        "      <td>1.959678</td>\n",
2414        "      <td>9.467042e-01</td>\n",
2415        "    </tr>\n",
2416        "    <tr>\n",
2417        "      <th>97</th>\n",
2418        "      <td>0.009727</td>\n",
2419        "      <td>2.149462</td>\n",
2420        "      <td>2.073050e+00</td>\n",
2421        "    </tr>\n",
2422        "    <tr>\n",
2423        "      <th>98</th>\n",
2424        "      <td>0.009999</td>\n",
2425        "      <td>1.419026</td>\n",
2426        "      <td>9.190455e-01</td>\n",
2427        "    </tr>\n",
2428        "    <tr>\n",
2429        "      <th>99</th>\n",
2430        "      <td>0.010274</td>\n",
2431        "      <td>0.992134</td>\n",
2432        "      <td>5.788109e-01</td>\n",
2433        "    </tr>\n",
2434        "    <tr>\n",
2435        "      <th>100</th>\n",
2436        "      <td>0.010565</td>\n",
2437        "      <td>0.962410</td>\n",
2438        "      <td>2.735283e+00</td>\n",
2439        "    </tr>\n",
2440        "    <tr>\n",
2441        "      <th>101</th>\n",
2442        "      <td>NaN</td>\n",
2443        "      <td>1.594189</td>\n",
2444        "      <td>1.871398e+00</td>\n",
2445        "    </tr>\n",
2446        "    <tr>\n",
2447        "      <th>102</th>\n",
2448        "      <td>NaN</td>\n",
2449        "      <td>1.676071</td>\n",
2450        "      <td>2.684198e+00</td>\n",
2451        "    </tr>\n",
2452        "    <tr>\n",
2453        "      <th>103</th>\n",
2454        "      <td>NaN</td>\n",
2455        "      <td>2.177949</td>\n",
2456        "      <td>1.615787e+00</td>\n",
2457        "    </tr>\n",
2458        "    <tr>\n",
2459        "      <th>104</th>\n",
2460        "      <td>NaN</td>\n",
2461        "      <td>12.678528</td>\n",
2462        "      <td>4.937538e+00</td>\n",
2463        "    </tr>\n",
2464        "  </tbody>\n",
2465        "</table>\n",
2466        "<p>104 rows × 3 columns</p>\n",
2467        "</div>"
2468       ],
2469       "text/plain": [
2470        "           dp         r1            r2\n",
2471        "1    0.000006   0.000001  8.884817e-07\n",
2472        "2    0.000010   0.000002  2.034998e-06\n",
2473        "3    0.000016   0.000003  2.758519e-06\n",
2474        "4    0.000024   0.000004  3.492518e-06\n",
2475        "5    0.000032   0.000005  4.411559e-06\n",
2476        "6    0.000041   0.000005  4.797068e-06\n",
2477        "7    0.000053   0.000006  5.636481e-06\n",
2478        "8    0.000067   0.000007  6.429502e-06\n",
2479        "9    0.000085   0.000008  8.435978e-06\n",
2480        "10   0.000100   0.000009  8.897041e-06\n",
2481        "11   0.000115   0.000010  9.417476e-06\n",
2482        "12   0.000140   0.000011  1.077401e-05\n",
2483        "13   0.000162   0.000014  1.450552e-05\n",
2484        "14   0.000183   0.000015  1.564907e-05\n",
2485        "15   0.000215   0.000017  1.618947e-05\n",
2486        "16   0.000242   0.000022  2.094649e-05\n",
2487        "17   0.000266   0.000026  2.390746e-05\n",
2488        "18   0.000306   0.000029  2.492807e-05\n",
2489        "19   0.000346   0.000033  2.821902e-05\n",
2490        "20   0.000385   0.000034  3.565301e-05\n",
2491        "21   0.000415   0.000043  3.706448e-05\n",
2492        "22   0.000463   0.000043  4.079950e-05\n",
2493        "23   0.000494   0.000054  4.724745e-05\n",
2494        "24   0.000523   0.000071  5.776598e-05\n",
2495        "25   0.000582   0.000067  7.110205e-05\n",
2496        "26   0.000651   0.000077  6.685703e-05\n",
2497        "27   0.000710   0.000080  7.095095e-05\n",
2498        "28   0.000752   0.000083  9.183702e-05\n",
2499        "29   0.000825   0.000099  9.083998e-05\n",
2500        "30   0.000878   0.000128  1.272025e-04\n",
2501        "..        ...        ...           ...\n",
2502        "75   0.005947   0.014189  1.939319e-02\n",
2503        "76   0.006030   0.020005  2.004181e-02\n",
2504        "77   0.006158   0.008264  2.844302e-02\n",
2505        "78   0.006392   0.027681  1.740247e-02\n",
2506        "79   0.006637   0.026264  2.905736e-02\n",
2507        "80   0.006664   0.029358  2.609148e-02\n",
2508        "81   0.006705   0.019040  2.800373e-02\n",
2509        "82   0.006991   0.030425  3.854370e-02\n",
2510        "83   0.007352   0.057041  4.743193e-02\n",
2511        "84   0.007388   0.054550  5.365823e-02\n",
2512        "85   0.007670   0.108336  7.952621e-02\n",
2513        "86   0.007745   0.072750  1.124436e-01\n",
2514        "87   0.008001   0.118910  8.979999e-02\n",
2515        "88   0.008151   0.116487  1.257425e-01\n",
2516        "89   0.008254   0.088827  1.086573e-01\n",
2517        "90   0.008464   0.163696  1.978011e-01\n",
2518        "91   0.008546   0.376881  2.107999e-01\n",
2519        "92   0.008675   0.203115  2.024802e-01\n",
2520        "93   0.009046   0.131787  4.154621e-01\n",
2521        "94   0.009209   0.646644  2.825372e-01\n",
2522        "95   0.009408   0.914065  3.404359e-01\n",
2523        "96   0.009638   1.959678  9.467042e-01\n",
2524        "97   0.009727   2.149462  2.073050e+00\n",
2525        "98   0.009999   1.419026  9.190455e-01\n",
2526        "99   0.010274   0.992134  5.788109e-01\n",
2527        "100  0.010565   0.962410  2.735283e+00\n",
2528        "101       NaN   1.594189  1.871398e+00\n",
2529        "102       NaN   1.676071  2.684198e+00\n",
2530        "103       NaN   2.177949  1.615787e+00\n",
2531        "104       NaN  12.678528  4.937538e+00\n",
2532        "\n",
2533        "[104 rows x 3 columns]"
2534       ]
2535      },
2536      "execution_count": 74,
2537      "metadata": {},
2538      "output_type": "execute_result"
2539     }
2540    ],
2541    "source": [
2542     "time_df = pd.DataFrame([times_recorded_dp, times_recorded_r, times_recorded_r2]).T\n",
2543     "time_df.columns = ['dp', 'r1', 'r2']\n",
2544     "time_df"
2545    ]
2546   },
2547   {
2548    "cell_type": "code",
2549    "execution_count": 99,
2550    "metadata": {},
2551    "outputs": [
2552     {
2553      "data": {
2554       "text/plain": [
2555        "<matplotlib.axes._subplots.AxesSubplot at 0x7f304b592fd0>"
2556       ]
2557      },
2558      "execution_count": 99,
2559      "metadata": {},
2560      "output_type": "execute_result"
2561     },
2562     {
2563      "data": {
2564       "image/png": 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gfdz2Brzgn7KNcy5iZm1mNsE515qdboqMLj3RHoKhIMHgNkLbWxkTdgSifqp6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\nA6GgcAAAAABJRU5ErkJggg==\n",
2565       "text/plain": [
2566        "<matplotlib.figure.Figure at 0x7f304b2b3748>"
2567       ]
2568      },
2569      "metadata": {},
2570      "output_type": "display_data"
2571     }
2572    ],
2573    "source": [
2574     "time_df[:100].plot()"
2575    ]
2576   },
2577   {
2578    "cell_type": "code",
2579    "execution_count": null,
2580    "metadata": {
2581     "collapsed": true
2582    },
2583    "outputs": [],
2584    "source": []
2585   }
2586  ],
2587  "metadata": {
2588   "kernelspec": {
2589    "display_name": "Python 3",
2590    "language": "python",
2591    "name": "python3"
2592   },
2593   "language_info": {
2594    "codemirror_mode": {
2595     "name": "ipython",
2596     "version": 3
2597    },
2598    "file_extension": ".py",
2599    "mimetype": "text/x-python",
2600    "name": "python",
2601    "nbconvert_exporter": "python",
2602    "pygments_lexer": "ipython3",
2603    "version": "3.5.2+"
2604   }
2605  },
2606  "nbformat": 4,
2607  "nbformat_minor": 1
2608 }