X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=09-resolving-the-bill%2Finterleaving.ipynb;h=4dc92780fe508dfc3c18c927ef3f64b1a2718aae;hb=7feed95175973490721236795cc7895e252965e2;hp=22d91be6b054ec5464fae22bdbb0d2b437ba972f;hpb=3ee4ba25339ed825d790be0e40e5c77dfdd5cbd4;p=ou-summer-of-code-2017.git
diff --git a/09-resolving-the-bill/interleaving.ipynb b/09-resolving-the-bill/interleaving.ipynb
index 22d91be..4dc9278 100644
--- a/09-resolving-the-bill/interleaving.ipynb
+++ b/09-resolving-the-bill/interleaving.ipynb
@@ -29,6 +29,18 @@
"import string"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import sys\n",
+ "sys.setrecursionlimit(10**6)"
+ ]
+ },
{
"cell_type": "code",
"execution_count": 3,
@@ -217,7 +229,7 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "aabcc dbbca aadbbbaccc\n",
+ "aabcc dbbca aadbbcbcac\n",
"aa 0 0 ! ! ! True\n",
"s2 0 1 ! d a False\n",
"s2 0 2 ! b a False\n",
@@ -229,39 +241,39 @@
"xx 1 2 a b d False\n",
"xx 1 3 a b b False\n",
"xx 1 4 a c b False\n",
- "xx 1 5 a a b False\n",
+ "xx 1 5 a a c False\n",
"s1 2 0 a ! a True\n",
"s2 2 1 a d d True\n",
"s2 2 2 a b b True\n",
"s2 2 3 a b b True\n",
- "xx 2 4 a c b False\n",
- "xx 2 5 a a a False\n",
+ "s2 2 4 a c c True\n",
+ "xx 2 5 a a b False\n",
"s1 3 0 b ! d False\n",
"s1 3 1 b d b True\n",
"s2 3 2 b b b True\n",
"s1 3 2 b b b True\n",
- "s2 3 3 b b b True\n",
- "s1 3 3 b b b True\n",
- "xx 3 4 b c a False\n",
+ "xx 3 3 b b c False\n",
+ "s1 3 4 b c b True\n",
"xx 3 5 b a c False\n",
"s1 4 0 c ! b False\n",
"xx 4 1 c d b False\n",
- "xx 4 2 c b b False\n",
- "xx 4 3 c b a False\n",
- "xx 4 4 c c c False\n",
- "xx 4 5 c a c False\n",
+ "s1 4 2 c b c True\n",
+ "s2 4 3 c b b True\n",
+ "s2 4 4 c c c True\n",
+ "s1 4 4 c c c True\n",
+ "s2 4 5 c a a True\n",
"s1 5 0 c ! b False\n",
- "xx 5 1 c d b False\n",
- "xx 5 2 c b a False\n",
- "xx 5 3 c b c False\n",
- "xx 5 4 c c c False\n",
- "xx 5 5 c a c False\n",
+ "xx 5 1 c d c False\n",
+ "xx 5 2 c b b False\n",
+ "s1 5 3 c b c True\n",
+ "xx 5 4 c c a False\n",
+ "s1 5 5 c a c True\n",
"T . . . . .\n",
"T . . . . .\n",
- "T T T T . .\n",
- ". T T T . .\n",
- ". . . . . .\n",
- ". . . . . .\n"
+ "T T T T T .\n",
+ ". T T . T .\n",
+ ". . T T T T\n",
+ ". . . T . T\n"
]
},
{
@@ -272,9 +284,16 @@
" (2, 1): (2, 0, 'd', 's2'),\n",
" (2, 2): (2, 1, 'b', 's2'),\n",
" (2, 3): (2, 2, 'b', 's2'),\n",
+ " (2, 4): (2, 3, 'c', 's2'),\n",
" (3, 1): (2, 1, 'b', 's1'),\n",
" (3, 2): (2, 2, 'b', 's1'),\n",
- " (3, 3): (2, 3, 'b', 's1')}"
+ " (3, 4): (2, 4, 'b', 's1'),\n",
+ " (4, 2): (3, 2, 'c', 's1'),\n",
+ " (4, 3): (4, 2, 'b', 's2'),\n",
+ " (4, 4): (3, 4, 'c', 's1'),\n",
+ " (4, 5): (4, 4, 'a', 's2'),\n",
+ " (5, 3): (4, 3, 'c', 's1'),\n",
+ " (5, 5): (4, 5, 'c', 's1')}"
]
},
"execution_count": 10,
@@ -283,7 +302,7 @@
}
],
"source": [
- "s3 = s3f\n",
+ "s3 = s3t\n",
"\n",
"print(s1, s2, s3)\n",
"\n",
@@ -651,7 +670,7 @@
{
"data": {
"text/plain": [
- "'fddagfdacgbdggabhgcgfddecffbghccebhefghbchhhbfdfgc'"
+ "'fcafghacdbdhegdbdfbbbghecebceaecbhbfgaedaggbbfefcd'"
]
},
"execution_count": 19,
@@ -713,51 +732,54 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "0 0 0 adding x\n",
- "0 1 -1 adding y\n",
- "0 2 -2 adding x\n",
- "0 3 -3 adding g\n",
- "1 3 -2 adding h\n",
- "2 3 -1 adding d\n",
- "3 3 0 adding v\n",
- "3 4 -1 adding x\n",
- "3 5 -2 adding d\n",
- "4 5 -1 adding v\n",
- "4 6 -2 adding a\n",
- "5 6 -1 adding g\n",
- "6 6 0 adding w\n",
- "6 7 -1 adding v\n",
- "6 8 -2 adding e\n",
- "7 8 -1 adding u\n",
- "7 9 -2 adding w\n",
- "7 10 -3 adding x\n",
- "7 11 -4 adding e\n",
- "8 11 -3 adding d\n",
- "9 11 -2 adding w\n",
- "9 12 -3 adding c\n",
- "10 12 -2 adding z\n",
- "10 13 -3 adding y\n",
- "10 14 -4 adding h\n",
- "11 14 -3 adding g\n",
- "12 14 -2 adding z\n",
- "12 15 -3 adding x\n",
- "12 16 -4 adding w\n",
- "12 17 -5 adding e\n",
- "13 17 -4 adding w\n",
- "13 18 -5 adding f\n",
- "14 18 -4 adding z\n",
- "14 19 -5 adding f\n",
- "15 19 -4 adding b\n",
- "16 19 -3 adding u\n",
- "16 20 -4 remaining s1 gchd\n"
+ "0 0 0 adding g\n",
+ "1 0 1 adding f\n",
+ "2 0 2 adding z\n",
+ "2 1 1 adding e\n",
+ "3 1 2 adding y\n",
+ "3 2 1 adding g\n",
+ "4 2 2 adding f\n",
+ "5 2 3 adding a\n",
+ "6 2 4 adding z\n",
+ "6 3 3 adding v\n",
+ "6 4 2 adding y\n",
+ "6 5 1 adding u\n",
+ "6 6 0 adding z\n",
+ "6 7 -1 adding h\n",
+ "7 7 0 adding v\n",
+ "7 8 -1 adding g\n",
+ "8 8 0 adding d\n",
+ "9 8 1 adding u\n",
+ "9 9 0 adding z\n",
+ "9 10 -1 adding a\n",
+ "10 10 0 adding z\n",
+ "10 11 -1 adding y\n",
+ "10 12 -2 adding w\n",
+ "10 13 -3 adding a\n",
+ "11 13 -2 adding f\n",
+ "12 13 -1 adding g\n",
+ "13 13 0 adding g\n",
+ "14 13 1 adding f\n",
+ "15 13 2 adding h\n",
+ "16 13 3 adding x\n",
+ "16 14 2 adding w\n",
+ "16 15 1 adding a\n",
+ "17 15 2 adding e\n",
+ "18 15 3 adding w\n",
+ "18 16 2 adding d\n",
+ "19 16 3 adding x\n",
+ "19 17 2 adding u\n",
+ "19 18 1 adding z\n",
+ "19 19 0 adding x\n",
+ "19 20 -1 remaining s1 g\n"
]
},
{
"data": {
"text/plain": [
- "('ghddageedchgeffbgchd',\n",
- " 'xyxvxvwvuwxwzyzxwwzu',\n",
- " 'xyxghdvxdvagwveuwxedwczyhgzxwewfzfbugchd',\n",
+ "('gfegfahgdaafggfhaedg',\n",
+ " 'zyzvyuzvuzzywxwwxuzx',\n",
+ " 'gfzeygfazvyuzhvgduzazywafggfhxwaewdxuzxg',\n",
" 40)"
]
},
@@ -783,467 +805,467 @@
"output_type": "stream",
"text": [
"xxxx 0 0 ! ! ! True\n",
- "seq2 0 1 ! g x False\n",
- "seq2 0 2 ! h y False\n",
- "seq2 0 3 ! d x False\n",
- "seq2 0 4 ! d g False\n",
- "seq2 0 5 ! a h False\n",
- "seq2 0 6 ! g d False\n",
- "seq2 0 7 ! e v False\n",
- "seq2 0 8 ! e x False\n",
- "seq2 0 9 ! d d False\n",
- "seq2 0 10 ! c v False\n",
- "seq2 0 11 ! h a False\n",
- "seq2 0 12 ! g g False\n",
- "seq2 0 13 ! e w False\n",
- "seq2 0 14 ! f v False\n",
- "seq2 0 15 ! f e False\n",
- "seq2 0 16 ! b u False\n",
- "seq2 0 17 ! g w False\n",
- "seq2 0 18 ! c x False\n",
- "seq2 0 19 ! h e False\n",
- "seq2 0 20 ! d d False\n",
- "seq1 1 0 x ! x True\n",
- "xxxx 1 1 x g y False\n",
- "xxxx 1 2 x h x False\n",
- "xxxx 1 3 x d g False\n",
- "xxxx 1 4 x d h False\n",
- "xxxx 1 5 x a d False\n",
- "xxxx 1 6 x g v False\n",
- "xxxx 1 7 x e x False\n",
- "xxxx 1 8 x e d False\n",
- "xxxx 1 9 x d v False\n",
- "xxxx 1 10 x c a False\n",
- "xxxx 1 11 x h g False\n",
- "xxxx 1 12 x g w False\n",
- "xxxx 1 13 x e v False\n",
- "xxxx 1 14 x f e False\n",
- "xxxx 1 15 x f u False\n",
- "xxxx 1 16 x b w False\n",
- "xxxx 1 17 x g x False\n",
- "xxxx 1 18 x c e False\n",
- "xxxx 1 19 x h d False\n",
- "xxxx 1 20 x d w False\n",
- "seq1 2 0 y ! y True\n",
- "xxxx 2 1 y g x False\n",
- "xxxx 2 2 y h g False\n",
- "xxxx 2 3 y d h False\n",
- "xxxx 2 4 y d d False\n",
- "xxxx 2 5 y a v False\n",
- "xxxx 2 6 y g x False\n",
- "xxxx 2 7 y e d False\n",
- "xxxx 2 8 y e v False\n",
- "xxxx 2 9 y d a False\n",
- "xxxx 2 10 y c g False\n",
- "xxxx 2 11 y h w False\n",
- "xxxx 2 12 y g v False\n",
- "xxxx 2 13 y e e False\n",
- "xxxx 2 14 y f u False\n",
- "xxxx 2 15 y f w False\n",
- "xxxx 2 16 y b x False\n",
- "xxxx 2 17 y g e False\n",
- "xxxx 2 18 y c d False\n",
- "xxxx 2 19 y h w False\n",
- "xxxx 2 20 y d c False\n",
- "seq1 3 0 x ! x True\n",
- "seq2 3 1 x g g True\n",
- "seq2 3 2 x h h True\n",
- "seq2 3 3 x d d True\n",
- "xxxx 3 4 x d v False\n",
- "xxxx 3 5 x a x False\n",
- "xxxx 3 6 x g d False\n",
- "xxxx 3 7 x e v False\n",
- "xxxx 3 8 x e a False\n",
- "xxxx 3 9 x d g False\n",
- "xxxx 3 10 x c w False\n",
- "xxxx 3 11 x h v False\n",
- "xxxx 3 12 x g e False\n",
- "xxxx 3 13 x e u False\n",
- "xxxx 3 14 x f w False\n",
- "xxxx 3 15 x f x False\n",
- "xxxx 3 16 x b e False\n",
- "xxxx 3 17 x g d False\n",
- "xxxx 3 18 x c w False\n",
- "xxxx 3 19 x h c False\n",
- "xxxx 3 20 x d z False\n",
- "seq1 4 0 v ! g False\n",
- "xxxx 4 1 v g h False\n",
- "xxxx 4 2 v h d False\n",
- "seq1 4 3 v d v True\n",
- "xxxx 4 4 v d x False\n",
- "xxxx 4 5 v a d False\n",
- "xxxx 4 6 v g v False\n",
- "xxxx 4 7 v e a False\n",
- "xxxx 4 8 v e g False\n",
- "xxxx 4 9 v d w False\n",
- "xxxx 4 10 v c v False\n",
- "xxxx 4 11 v h e False\n",
- "xxxx 4 12 v g u False\n",
- "xxxx 4 13 v e w False\n",
- "xxxx 4 14 v f x False\n",
- "xxxx 4 15 v f e False\n",
- "xxxx 4 16 v b d False\n",
- "xxxx 4 17 v g w False\n",
- "xxxx 4 18 v c c False\n",
- "xxxx 4 19 v h z False\n",
- "xxxx 4 20 v d y False\n",
- "seq1 5 0 x ! h False\n",
- "xxxx 5 1 x g d False\n",
- "xxxx 5 2 x h v False\n",
- "seq1 5 3 x d x True\n",
- "seq2 5 4 x d d True\n",
- "xxxx 5 5 x a v False\n",
- "xxxx 5 6 x g a False\n",
- "xxxx 5 7 x e g False\n",
- "xxxx 5 8 x e w False\n",
- "xxxx 5 9 x d v False\n",
- "xxxx 5 10 x c e False\n",
- "xxxx 5 11 x h u False\n",
- "xxxx 5 12 x g w False\n",
- "xxxx 5 13 x e x False\n",
- "xxxx 5 14 x f e False\n",
- "xxxx 5 15 x f d False\n",
- "xxxx 5 16 x b w False\n",
- "xxxx 5 17 x g c False\n",
- "xxxx 5 18 x c z False\n",
- "xxxx 5 19 x h y False\n",
- "xxxx 5 20 x d h False\n",
- "seq1 6 0 v ! d False\n",
- "xxxx 6 1 v g v False\n",
- "xxxx 6 2 v h x False\n",
- "xxxx 6 3 v d d False\n",
- "seq1 6 4 v d v True\n",
- "seq2 6 5 v a a True\n",
- "seq2 6 6 v g g True\n",
- "xxxx 6 7 v e w False\n",
- "xxxx 6 8 v e v False\n",
- "xxxx 6 9 v d e False\n",
- "xxxx 6 10 v c u False\n",
- "xxxx 6 11 v h w False\n",
- "xxxx 6 12 v g x False\n",
- "xxxx 6 13 v e e False\n",
- "xxxx 6 14 v f d False\n",
- "xxxx 6 15 v f w False\n",
- "xxxx 6 16 v b c False\n",
- "xxxx 6 17 v g z False\n",
- "xxxx 6 18 v c y False\n",
- "xxxx 6 19 v h h False\n",
- "xxxx 6 20 v d g False\n",
- "seq1 7 0 w ! v False\n",
- "xxxx 7 1 w g x False\n",
- "xxxx 7 2 w h d False\n",
- "xxxx 7 3 w d v False\n",
- "xxxx 7 4 w d a False\n",
- "xxxx 7 5 w a g False\n",
- "seq1 7 6 w g w True\n",
- "xxxx 7 7 w e v False\n",
- "xxxx 7 8 w e e False\n",
- "xxxx 7 9 w d u False\n",
- "xxxx 7 10 w c w False\n",
- "xxxx 7 11 w h x False\n",
- "xxxx 7 12 w g e False\n",
- "xxxx 7 13 w e d False\n",
- "xxxx 7 14 w f w False\n",
- "xxxx 7 15 w f c False\n",
- "xxxx 7 16 w b z False\n",
- "xxxx 7 17 w g y False\n",
- "xxxx 7 18 w c h False\n",
- "xxxx 7 19 w h g False\n",
- "xxxx 7 20 w d z False\n",
- "seq1 8 0 v ! x False\n",
- "xxxx 8 1 v g d False\n",
- "xxxx 8 2 v h v False\n",
- "xxxx 8 3 v d a False\n",
- "xxxx 8 4 v d g False\n",
- "xxxx 8 5 v a w False\n",
- "seq1 8 6 v g v True\n",
- "seq2 8 7 v e e True\n",
- "xxxx 8 8 v e u False\n",
- "xxxx 8 9 v d w False\n",
- "xxxx 8 10 v c x False\n",
- "xxxx 8 11 v h e False\n",
- "xxxx 8 12 v g d False\n",
- "xxxx 8 13 v e w False\n",
- "xxxx 8 14 v f c False\n",
- "xxxx 8 15 v f z False\n",
- "xxxx 8 16 v b y False\n",
- "xxxx 8 17 v g h False\n",
- "xxxx 8 18 v c g False\n",
- "xxxx 8 19 v h z False\n",
- "xxxx 8 20 v d x False\n",
- "seq1 9 0 u ! d False\n",
+ "seq2 0 1 ! g g True\n",
+ "seq2 0 2 ! f f True\n",
+ "seq2 0 3 ! e z False\n",
+ "seq2 0 4 ! g e False\n",
+ "seq2 0 5 ! f y False\n",
+ "seq2 0 6 ! a g False\n",
+ "seq2 0 7 ! h f False\n",
+ "seq2 0 8 ! g a False\n",
+ "seq2 0 9 ! d z False\n",
+ "seq2 0 10 ! a v False\n",
+ "seq2 0 11 ! a y False\n",
+ "seq2 0 12 ! f u False\n",
+ "seq2 0 13 ! g z False\n",
+ "seq2 0 14 ! g h False\n",
+ "seq2 0 15 ! f v False\n",
+ "seq2 0 16 ! h g False\n",
+ "seq2 0 17 ! a d False\n",
+ "seq2 0 18 ! e u False\n",
+ "seq2 0 19 ! d z False\n",
+ "seq2 0 20 ! g a False\n",
+ "seq1 1 0 z ! g False\n",
+ "xxxx 1 1 z g f False\n",
+ "seq1 1 2 z f z True\n",
+ "seq2 1 3 z e e True\n",
+ "xxxx 1 4 z g y False\n",
+ "xxxx 1 5 z f g False\n",
+ "xxxx 1 6 z a f False\n",
+ "xxxx 1 7 z h a False\n",
+ "xxxx 1 8 z g z False\n",
+ "xxxx 1 9 z d v False\n",
+ "xxxx 1 10 z a y False\n",
+ "xxxx 1 11 z a u False\n",
+ "xxxx 1 12 z f z False\n",
+ "xxxx 1 13 z g h False\n",
+ "xxxx 1 14 z g v False\n",
+ "xxxx 1 15 z f g False\n",
+ "xxxx 1 16 z h d False\n",
+ "xxxx 1 17 z a u False\n",
+ "xxxx 1 18 z e z False\n",
+ "xxxx 1 19 z d a False\n",
+ "xxxx 1 20 z g z False\n",
+ "seq1 2 0 y ! f False\n",
+ "xxxx 2 1 y g z False\n",
+ "xxxx 2 2 y f e False\n",
+ "seq1 2 3 y e y True\n",
+ "seq2 2 4 y g g True\n",
+ "seq2 2 5 y f f True\n",
+ "seq2 2 6 y a a True\n",
+ "xxxx 2 7 y h z False\n",
+ "xxxx 2 8 y g v False\n",
+ "xxxx 2 9 y d y False\n",
+ "xxxx 2 10 y a u False\n",
+ "xxxx 2 11 y a z False\n",
+ "xxxx 2 12 y f h False\n",
+ "xxxx 2 13 y g v False\n",
+ "xxxx 2 14 y g g False\n",
+ "xxxx 2 15 y f d False\n",
+ "xxxx 2 16 y h u False\n",
+ "xxxx 2 17 y a z False\n",
+ "xxxx 2 18 y e a False\n",
+ "xxxx 2 19 y d z False\n",
+ "xxxx 2 20 y g y False\n",
+ "seq1 3 0 z ! z False\n",
+ "xxxx 3 1 z g e False\n",
+ "xxxx 3 2 z f y False\n",
+ "xxxx 3 3 z e g False\n",
+ "xxxx 3 4 z g f False\n",
+ "xxxx 3 5 z f a False\n",
+ "seq1 3 6 z a z True\n",
+ "xxxx 3 7 z h v False\n",
+ "xxxx 3 8 z g y False\n",
+ "xxxx 3 9 z d u False\n",
+ "xxxx 3 10 z a z False\n",
+ "xxxx 3 11 z a h False\n",
+ "xxxx 3 12 z f v False\n",
+ "xxxx 3 13 z g g False\n",
+ "xxxx 3 14 z g d False\n",
+ "xxxx 3 15 z f u False\n",
+ "xxxx 3 16 z h z False\n",
+ "xxxx 3 17 z a a False\n",
+ "xxxx 3 18 z e z False\n",
+ "xxxx 3 19 z d y False\n",
+ "xxxx 3 20 z g w False\n",
+ "seq1 4 0 v ! e False\n",
+ "xxxx 4 1 v g y False\n",
+ "xxxx 4 2 v f g False\n",
+ "xxxx 4 3 v e f False\n",
+ "xxxx 4 4 v g a False\n",
+ "xxxx 4 5 v f z False\n",
+ "seq1 4 6 v a v True\n",
+ "xxxx 4 7 v h y False\n",
+ "xxxx 4 8 v g u False\n",
+ "xxxx 4 9 v d z False\n",
+ "xxxx 4 10 v a h False\n",
+ "xxxx 4 11 v a v False\n",
+ "xxxx 4 12 v f g False\n",
+ "xxxx 4 13 v g d False\n",
+ "xxxx 4 14 v g u False\n",
+ "xxxx 4 15 v f z False\n",
+ "xxxx 4 16 v h a False\n",
+ "xxxx 4 17 v a z False\n",
+ "xxxx 4 18 v e y False\n",
+ "xxxx 4 19 v d w False\n",
+ "xxxx 4 20 v g a False\n",
+ "seq1 5 0 y ! y False\n",
+ "xxxx 5 1 y g g False\n",
+ "xxxx 5 2 y f f False\n",
+ "xxxx 5 3 y e a False\n",
+ "xxxx 5 4 y g z False\n",
+ "xxxx 5 5 y f v False\n",
+ "seq1 5 6 y a y True\n",
+ "xxxx 5 7 y h u False\n",
+ "xxxx 5 8 y g z False\n",
+ "xxxx 5 9 y d h False\n",
+ "xxxx 5 10 y a v False\n",
+ "xxxx 5 11 y a g False\n",
+ "xxxx 5 12 y f d False\n",
+ "xxxx 5 13 y g u False\n",
+ "xxxx 5 14 y g z False\n",
+ "xxxx 5 15 y f a False\n",
+ "xxxx 5 16 y h z False\n",
+ "xxxx 5 17 y a y False\n",
+ "xxxx 5 18 y e w False\n",
+ "xxxx 5 19 y d a False\n",
+ "xxxx 5 20 y g f False\n",
+ "seq1 6 0 u ! g False\n",
+ "xxxx 6 1 u g f False\n",
+ "xxxx 6 2 u f a False\n",
+ "xxxx 6 3 u e z False\n",
+ "xxxx 6 4 u g v False\n",
+ "xxxx 6 5 u f y False\n",
+ "seq1 6 6 u a u True\n",
+ "xxxx 6 7 u h z False\n",
+ "xxxx 6 8 u g h False\n",
+ "xxxx 6 9 u d v False\n",
+ "xxxx 6 10 u a g False\n",
+ "xxxx 6 11 u a d False\n",
+ "xxxx 6 12 u f u False\n",
+ "xxxx 6 13 u g z False\n",
+ "xxxx 6 14 u g a False\n",
+ "xxxx 6 15 u f z False\n",
+ "xxxx 6 16 u h y False\n",
+ "xxxx 6 17 u a w False\n",
+ "xxxx 6 18 u e a False\n",
+ "xxxx 6 19 u d f False\n",
+ "xxxx 6 20 u g g False\n",
+ "seq1 7 0 z ! f False\n",
+ "xxxx 7 1 z g a False\n",
+ "xxxx 7 2 z f z False\n",
+ "xxxx 7 3 z e v False\n",
+ "xxxx 7 4 z g y False\n",
+ "xxxx 7 5 z f u False\n",
+ "seq1 7 6 z a z True\n",
+ "seq2 7 7 z h h True\n",
+ "xxxx 7 8 z g v False\n",
+ "xxxx 7 9 z d g False\n",
+ "xxxx 7 10 z a d False\n",
+ "xxxx 7 11 z a u False\n",
+ "xxxx 7 12 z f z False\n",
+ "xxxx 7 13 z g a False\n",
+ "xxxx 7 14 z g z False\n",
+ "xxxx 7 15 z f y False\n",
+ "xxxx 7 16 z h w False\n",
+ "xxxx 7 17 z a a False\n",
+ "xxxx 7 18 z e f False\n",
+ "xxxx 7 19 z d g False\n",
+ "xxxx 7 20 z g g False\n",
+ "seq1 8 0 v ! a False\n",
+ "xxxx 8 1 v g z False\n",
+ "xxxx 8 2 v f v False\n",
+ "xxxx 8 3 v e y False\n",
+ "xxxx 8 4 v g u False\n",
+ "xxxx 8 5 v f z False\n",
+ "xxxx 8 6 v a h False\n",
+ "seq1 8 7 v h v True\n",
+ "seq2 8 8 v g g True\n",
+ "seq2 8 9 v d d True\n",
+ "xxxx 8 10 v a u False\n",
+ "xxxx 8 11 v a z False\n",
+ "xxxx 8 12 v f a False\n",
+ "xxxx 8 13 v g z False\n",
+ "xxxx 8 14 v g y False\n",
+ "xxxx 8 15 v f w False\n",
+ "xxxx 8 16 v h a False\n",
+ "xxxx 8 17 v a f False\n",
+ "xxxx 8 18 v e g False\n",
+ "xxxx 8 19 v d g False\n",
+ "xxxx 8 20 v g f False\n",
+ "seq1 9 0 u ! z False\n",
"xxxx 9 1 u g v False\n",
- "xxxx 9 2 u h a False\n",
- "xxxx 9 3 u d g False\n",
- "xxxx 9 4 u d w False\n",
- "xxxx 9 5 u a v False\n",
- "xxxx 9 6 u g e False\n",
- "seq1 9 7 u e u True\n",
- "xxxx 9 8 u e w False\n",
- "xxxx 9 9 u d x False\n",
- "xxxx 9 10 u c e False\n",
- "xxxx 9 11 u h d False\n",
- "xxxx 9 12 u g w False\n",
- "xxxx 9 13 u e c False\n",
- "xxxx 9 14 u f z False\n",
- "xxxx 9 15 u f y False\n",
- "xxxx 9 16 u b h False\n",
- "xxxx 9 17 u g g False\n",
- "xxxx 9 18 u c z False\n",
- "xxxx 9 19 u h x False\n",
- "xxxx 9 20 u d w False\n",
- "seq1 10 0 w ! v False\n",
- "xxxx 10 1 w g a False\n",
- "xxxx 10 2 w h g False\n",
- "xxxx 10 3 w d w False\n",
- "xxxx 10 4 w d v False\n",
- "xxxx 10 5 w a e False\n",
- "xxxx 10 6 w g u False\n",
- "seq1 10 7 w e w True\n",
- "xxxx 10 8 w e x False\n",
- "xxxx 10 9 w d e False\n",
- "xxxx 10 10 w c d False\n",
- "xxxx 10 11 w h w False\n",
- "xxxx 10 12 w g c False\n",
- "xxxx 10 13 w e z False\n",
- "xxxx 10 14 w f y False\n",
- "xxxx 10 15 w f h False\n",
- "xxxx 10 16 w b g False\n",
- "xxxx 10 17 w g z False\n",
- "xxxx 10 18 w c x False\n",
- "xxxx 10 19 w h w False\n",
- "xxxx 10 20 w d e False\n",
- "seq1 11 0 x ! a False\n",
- "xxxx 11 1 x g g False\n",
- "xxxx 11 2 x h w False\n",
- "xxxx 11 3 x d v False\n",
- "xxxx 11 4 x d e False\n",
- "xxxx 11 5 x a u False\n",
- "xxxx 11 6 x g w False\n",
- "seq1 11 7 x e x True\n",
- "seq2 11 8 x e e True\n",
- "seq2 11 9 x d d True\n",
- "xxxx 11 10 x c w False\n",
- "xxxx 11 11 x h c False\n",
- "xxxx 11 12 x g z False\n",
- "xxxx 11 13 x e y False\n",
- "xxxx 11 14 x f h False\n",
- "xxxx 11 15 x f g False\n",
- "xxxx 11 16 x b z False\n",
- "xxxx 11 17 x g x False\n",
- "xxxx 11 18 x c w False\n",
- "xxxx 11 19 x h e False\n",
- "xxxx 11 20 x d w False\n",
- "seq1 12 0 w ! g False\n",
- "xxxx 12 1 w g w False\n",
- "xxxx 12 2 w h v False\n",
- "xxxx 12 3 w d e False\n",
- "xxxx 12 4 w d u False\n",
- "xxxx 12 5 w a w False\n",
- "xxxx 12 6 w g x False\n",
- "xxxx 12 7 w e e False\n",
- "xxxx 12 8 w e d False\n",
- "seq1 12 9 w d w True\n",
- "seq2 12 10 w c c True\n",
- "xxxx 12 11 w h z False\n",
- "xxxx 12 12 w g y False\n",
- "xxxx 12 13 w e h False\n",
- "xxxx 12 14 w f g False\n",
- "xxxx 12 15 w f z False\n",
- "xxxx 12 16 w b x False\n",
- "xxxx 12 17 w g w False\n",
- "xxxx 12 18 w c e False\n",
- "xxxx 12 19 w h w False\n",
- "xxxx 12 20 w d f False\n",
- "seq1 13 0 z ! w False\n",
- "xxxx 13 1 z g v False\n",
- "xxxx 13 2 z h e False\n",
- "xxxx 13 3 z d u False\n",
- "xxxx 13 4 z d w False\n",
- "xxxx 13 5 z a x False\n",
- "xxxx 13 6 z g e False\n",
- "xxxx 13 7 z e d False\n",
- "xxxx 13 8 z e w False\n",
- "xxxx 13 9 z d c False\n",
- "seq1 13 10 z c z True\n",
- "xxxx 13 11 z h y False\n",
- "xxxx 13 12 z g h False\n",
- "xxxx 13 13 z e g False\n",
- "xxxx 13 14 z f z False\n",
- "xxxx 13 15 z f x False\n",
- "xxxx 13 16 z b w False\n",
- "xxxx 13 17 z g e False\n",
- "xxxx 13 18 z c w False\n",
- "xxxx 13 19 z h f False\n",
- "xxxx 13 20 z d z False\n",
- "seq1 14 0 y ! v False\n",
- "xxxx 14 1 y g e False\n",
- "xxxx 14 2 y h u False\n",
- "xxxx 14 3 y d w False\n",
- "xxxx 14 4 y d x False\n",
- "xxxx 14 5 y a e False\n",
- "xxxx 14 6 y g d False\n",
- "xxxx 14 7 y e w False\n",
- "xxxx 14 8 y e c False\n",
- "xxxx 14 9 y d z False\n",
- "seq1 14 10 y c y True\n",
- "seq2 14 11 y h h True\n",
- "seq2 14 12 y g g True\n",
- "xxxx 14 13 y e z False\n",
- "xxxx 14 14 y f x False\n",
- "xxxx 14 15 y f w False\n",
- "xxxx 14 16 y b e False\n",
- "xxxx 14 17 y g w False\n",
- "xxxx 14 18 y c f False\n",
- "xxxx 14 19 y h z False\n",
- "xxxx 14 20 y d f False\n",
- "seq1 15 0 z ! e False\n",
- "xxxx 15 1 z g u False\n",
- "xxxx 15 2 z h w False\n",
- "xxxx 15 3 z d x False\n",
- "xxxx 15 4 z d e False\n",
- "xxxx 15 5 z a d False\n",
- "xxxx 15 6 z g w False\n",
- "xxxx 15 7 z e c False\n",
- "xxxx 15 8 z e z False\n",
- "xxxx 15 9 z d y False\n",
- "xxxx 15 10 z c h False\n",
- "xxxx 15 11 z h g False\n",
- "seq1 15 12 z g z True\n",
- "xxxx 15 13 z e x False\n",
- "xxxx 15 14 z f w False\n",
- "xxxx 15 15 z f e False\n",
- "xxxx 15 16 z b w False\n",
- "xxxx 15 17 z g f False\n",
- "xxxx 15 18 z c z False\n",
- "xxxx 15 19 z h f False\n",
- "xxxx 15 20 z d b False\n",
- "seq1 16 0 x ! u False\n",
- "xxxx 16 1 x g w False\n",
- "xxxx 16 2 x h x False\n",
- "xxxx 16 3 x d e False\n",
- "xxxx 16 4 x d d False\n",
- "xxxx 16 5 x a w False\n",
- "xxxx 16 6 x g c False\n",
- "xxxx 16 7 x e z False\n",
- "xxxx 16 8 x e y False\n",
- "xxxx 16 9 x d h False\n",
- "xxxx 16 10 x c g False\n",
- "xxxx 16 11 x h z False\n",
- "seq1 16 12 x g x True\n",
- "xxxx 16 13 x e w False\n",
- "xxxx 16 14 x f e False\n",
- "xxxx 16 15 x f w False\n",
- "xxxx 16 16 x b f False\n",
- "xxxx 16 17 x g z False\n",
- "xxxx 16 18 x c f False\n",
- "xxxx 16 19 x h b False\n",
- "xxxx 16 20 x d u False\n",
- "seq1 17 0 w ! w False\n",
- "xxxx 17 1 w g x False\n",
- "xxxx 17 2 w h e False\n",
- "xxxx 17 3 w d d False\n",
- "xxxx 17 4 w d w False\n",
- "xxxx 17 5 w a c False\n",
- "xxxx 17 6 w g z False\n",
- "xxxx 17 7 w e y False\n",
- "xxxx 17 8 w e h False\n",
- "xxxx 17 9 w d g False\n",
- "xxxx 17 10 w c z False\n",
- "xxxx 17 11 w h x False\n",
- "seq1 17 12 w g w True\n",
- "seq2 17 13 w e e True\n",
- "xxxx 17 14 w f w False\n",
- "xxxx 17 15 w f f False\n",
- "xxxx 17 16 w b z False\n",
- "xxxx 17 17 w g f False\n",
- "xxxx 17 18 w c b False\n",
- "xxxx 17 19 w h u False\n",
- "xxxx 17 20 w d g False\n",
- "seq1 18 0 w ! x False\n",
- "xxxx 18 1 w g e False\n",
- "xxxx 18 2 w h d False\n",
- "xxxx 18 3 w d w False\n",
- "xxxx 18 4 w d c False\n",
- "xxxx 18 5 w a z False\n",
- "xxxx 18 6 w g y False\n",
- "xxxx 18 7 w e h False\n",
- "xxxx 18 8 w e g False\n",
- "xxxx 18 9 w d z False\n",
- "xxxx 18 10 w c x False\n",
- "xxxx 18 11 w h w False\n",
- "xxxx 18 12 w g e False\n",
- "seq1 18 13 w e w True\n",
- "seq2 18 14 w f f True\n",
- "xxxx 18 15 w f z False\n",
- "xxxx 18 16 w b f False\n",
- "xxxx 18 17 w g b False\n",
- "xxxx 18 18 w c u False\n",
- "xxxx 18 19 w h g False\n",
- "xxxx 18 20 w d c False\n",
- "seq1 19 0 z ! e False\n",
- "xxxx 19 1 z g d False\n",
- "xxxx 19 2 z h w False\n",
- "xxxx 19 3 z d c False\n",
- "xxxx 19 4 z d z False\n",
- "xxxx 19 5 z a y False\n",
- "xxxx 19 6 z g h False\n",
- "xxxx 19 7 z e g False\n",
- "xxxx 19 8 z e z False\n",
- "xxxx 19 9 z d x False\n",
- "xxxx 19 10 z c w False\n",
- "xxxx 19 11 z h e False\n",
- "xxxx 19 12 z g w False\n",
- "xxxx 19 13 z e f False\n",
- "seq1 19 14 z f z True\n",
- "seq2 19 15 z f f True\n",
- "seq2 19 16 z b b True\n",
- "xxxx 19 17 z g u False\n",
- "xxxx 19 18 z c g False\n",
- "xxxx 19 19 z h c False\n",
- "xxxx 19 20 z d h False\n",
- "seq1 20 0 u ! d False\n",
- "xxxx 20 1 u g w False\n",
- "xxxx 20 2 u h c False\n",
- "xxxx 20 3 u d z False\n",
- "xxxx 20 4 u d y False\n",
- "xxxx 20 5 u a h False\n",
- "xxxx 20 6 u g g False\n",
- "xxxx 20 7 u e z False\n",
- "xxxx 20 8 u e x False\n",
- "xxxx 20 9 u d w False\n",
- "xxxx 20 10 u c e False\n",
- "xxxx 20 11 u h w False\n",
- "xxxx 20 12 u g f False\n",
- "xxxx 20 13 u e z False\n",
- "xxxx 20 14 u f f False\n",
- "xxxx 20 15 u f b False\n",
- "seq1 20 16 u b u True\n",
- "seq2 20 17 u g g True\n",
- "seq2 20 18 u c c True\n",
- "seq2 20 19 u h h True\n",
- "seq2 20 20 u d d True\n",
- "T . . . . . . . . . . . . . . . . . . . .\n",
- "T . . . . . . . . . . . . . . . . . . . .\n",
- "T . . . . . . . . . . . . . . . . . . . .\n",
- "T T T T . . . . . . . . . . . . . . . . .\n",
- ". . . T . . . . . . . . . . . . . . . . .\n",
- ". . . T T . . . . . . . . . . . . . . . .\n",
- ". . . . T T T . . . . . . . . . . . . . .\n",
+ "xxxx 9 2 u f y False\n",
+ "xxxx 9 3 u e u False\n",
+ "xxxx 9 4 u g z False\n",
+ "xxxx 9 5 u f h False\n",
+ "xxxx 9 6 u a v False\n",
+ "xxxx 9 7 u h g False\n",
+ "xxxx 9 8 u g d False\n",
+ "seq1 9 9 u d u True\n",
+ "xxxx 9 10 u a z False\n",
+ "xxxx 9 11 u a a False\n",
+ "xxxx 9 12 u f z False\n",
+ "xxxx 9 13 u g y False\n",
+ "xxxx 9 14 u g w False\n",
+ "xxxx 9 15 u f a False\n",
+ "xxxx 9 16 u h f False\n",
+ "xxxx 9 17 u a g False\n",
+ "xxxx 9 18 u e g False\n",
+ "xxxx 9 19 u d f False\n",
+ "xxxx 9 20 u g h False\n",
+ "seq1 10 0 z ! v False\n",
+ "xxxx 10 1 z g y False\n",
+ "xxxx 10 2 z f u False\n",
+ "xxxx 10 3 z e z False\n",
+ "xxxx 10 4 z g h False\n",
+ "xxxx 10 5 z f v False\n",
+ "xxxx 10 6 z a g False\n",
+ "xxxx 10 7 z h d False\n",
+ "xxxx 10 8 z g u False\n",
+ "seq1 10 9 z d z True\n",
+ "seq2 10 10 z a a True\n",
+ "xxxx 10 11 z a z False\n",
+ "xxxx 10 12 z f y False\n",
+ "xxxx 10 13 z g w False\n",
+ "xxxx 10 14 z g a False\n",
+ "xxxx 10 15 z f f False\n",
+ "xxxx 10 16 z h g False\n",
+ "xxxx 10 17 z a g False\n",
+ "xxxx 10 18 z e f False\n",
+ "xxxx 10 19 z d h False\n",
+ "xxxx 10 20 z g x False\n",
+ "seq1 11 0 z ! y False\n",
+ "xxxx 11 1 z g u False\n",
+ "xxxx 11 2 z f z False\n",
+ "xxxx 11 3 z e h False\n",
+ "xxxx 11 4 z g v False\n",
+ "xxxx 11 5 z f g False\n",
+ "xxxx 11 6 z a d False\n",
+ "xxxx 11 7 z h u False\n",
+ "xxxx 11 8 z g z False\n",
+ "xxxx 11 9 z d a False\n",
+ "seq1 11 10 z a z True\n",
+ "xxxx 11 11 z a y False\n",
+ "xxxx 11 12 z f w False\n",
+ "xxxx 11 13 z g a False\n",
+ "xxxx 11 14 z g f False\n",
+ "xxxx 11 15 z f g False\n",
+ "xxxx 11 16 z h g False\n",
+ "xxxx 11 17 z a f False\n",
+ "xxxx 11 18 z e h False\n",
+ "xxxx 11 19 z d x False\n",
+ "xxxx 11 20 z g w False\n",
+ "seq1 12 0 y ! u False\n",
+ "xxxx 12 1 y g z False\n",
+ "xxxx 12 2 y f h False\n",
+ "xxxx 12 3 y e v False\n",
+ "xxxx 12 4 y g g False\n",
+ "xxxx 12 5 y f d False\n",
+ "xxxx 12 6 y a u False\n",
+ "xxxx 12 7 y h z False\n",
+ "xxxx 12 8 y g a False\n",
+ "xxxx 12 9 y d z False\n",
+ "seq1 12 10 y a y True\n",
+ "xxxx 12 11 y a w False\n",
+ "xxxx 12 12 y f a False\n",
+ "xxxx 12 13 y g f False\n",
+ "xxxx 12 14 y g g False\n",
+ "xxxx 12 15 y f g False\n",
+ "xxxx 12 16 y h f False\n",
+ "xxxx 12 17 y a h False\n",
+ "xxxx 12 18 y e x False\n",
+ "xxxx 12 19 y d w False\n",
+ "xxxx 12 20 y g a False\n",
+ "seq1 13 0 w ! z False\n",
+ "xxxx 13 1 w g h False\n",
+ "xxxx 13 2 w f v False\n",
+ "xxxx 13 3 w e g False\n",
+ "xxxx 13 4 w g d False\n",
+ "xxxx 13 5 w f u False\n",
+ "xxxx 13 6 w a z False\n",
+ "xxxx 13 7 w h a False\n",
+ "xxxx 13 8 w g z False\n",
+ "xxxx 13 9 w d y False\n",
+ "seq1 13 10 w a w True\n",
+ "seq2 13 11 w a a True\n",
+ "seq2 13 12 w f f True\n",
+ "seq2 13 13 w g g True\n",
+ "seq2 13 14 w g g True\n",
+ "seq2 13 15 w f f True\n",
+ "seq2 13 16 w h h True\n",
+ "xxxx 13 17 w a x False\n",
+ "xxxx 13 18 w e w False\n",
+ "xxxx 13 19 w d a False\n",
+ "xxxx 13 20 w g e False\n",
+ "seq1 14 0 x ! h False\n",
+ "xxxx 14 1 x g v False\n",
+ "xxxx 14 2 x f g False\n",
+ "xxxx 14 3 x e d False\n",
+ "xxxx 14 4 x g u False\n",
+ "xxxx 14 5 x f z False\n",
+ "xxxx 14 6 x a a False\n",
+ "xxxx 14 7 x h z False\n",
+ "xxxx 14 8 x g y False\n",
+ "xxxx 14 9 x d w False\n",
+ "xxxx 14 10 x a a False\n",
+ "xxxx 14 11 x a f False\n",
+ "xxxx 14 12 x f g False\n",
+ "xxxx 14 13 x g g False\n",
+ "xxxx 14 14 x g f False\n",
+ "xxxx 14 15 x f h False\n",
+ "seq1 14 16 x h x True\n",
+ "xxxx 14 17 x a w False\n",
+ "xxxx 14 18 x e a False\n",
+ "xxxx 14 19 x d e False\n",
+ "xxxx 14 20 x g w False\n",
+ "seq1 15 0 w ! v False\n",
+ "xxxx 15 1 w g g False\n",
+ "xxxx 15 2 w f d False\n",
+ "xxxx 15 3 w e u False\n",
+ "xxxx 15 4 w g z False\n",
+ "xxxx 15 5 w f a False\n",
+ "xxxx 15 6 w a z False\n",
+ "xxxx 15 7 w h y False\n",
+ "xxxx 15 8 w g w False\n",
+ "xxxx 15 9 w d a False\n",
+ "xxxx 15 10 w a f False\n",
+ "xxxx 15 11 w a g False\n",
+ "xxxx 15 12 w f g False\n",
+ "xxxx 15 13 w g f False\n",
+ "xxxx 15 14 w g h False\n",
+ "xxxx 15 15 w f x False\n",
+ "seq1 15 16 w h w True\n",
+ "seq2 15 17 w a a True\n",
+ "seq2 15 18 w e e True\n",
+ "xxxx 15 19 w d w False\n",
+ "xxxx 15 20 w g d False\n",
+ "seq1 16 0 w ! g False\n",
+ "xxxx 16 1 w g d False\n",
+ "xxxx 16 2 w f u False\n",
+ "xxxx 16 3 w e z False\n",
+ "xxxx 16 4 w g a False\n",
+ "xxxx 16 5 w f z False\n",
+ "xxxx 16 6 w a y False\n",
+ "xxxx 16 7 w h w False\n",
+ "xxxx 16 8 w g a False\n",
+ "xxxx 16 9 w d f False\n",
+ "xxxx 16 10 w a g False\n",
+ "xxxx 16 11 w a g False\n",
+ "xxxx 16 12 w f f False\n",
+ "xxxx 16 13 w g h False\n",
+ "xxxx 16 14 w g x False\n",
+ "xxxx 16 15 w f w False\n",
+ "xxxx 16 16 w h a False\n",
+ "xxxx 16 17 w a e False\n",
+ "seq1 16 18 w e w True\n",
+ "seq2 16 19 w d d True\n",
+ "xxxx 16 20 w g x False\n",
+ "seq1 17 0 x ! d False\n",
+ "xxxx 17 1 x g u False\n",
+ "xxxx 17 2 x f z False\n",
+ "xxxx 17 3 x e a False\n",
+ "xxxx 17 4 x g z False\n",
+ "xxxx 17 5 x f y False\n",
+ "xxxx 17 6 x a w False\n",
+ "xxxx 17 7 x h a False\n",
+ "xxxx 17 8 x g f False\n",
+ "xxxx 17 9 x d g False\n",
+ "xxxx 17 10 x a g False\n",
+ "xxxx 17 11 x a f False\n",
+ "xxxx 17 12 x f h False\n",
+ "xxxx 17 13 x g x False\n",
+ "xxxx 17 14 x g w False\n",
+ "xxxx 17 15 x f a False\n",
+ "xxxx 17 16 x h e False\n",
+ "xxxx 17 17 x a w False\n",
+ "xxxx 17 18 x e d False\n",
+ "seq1 17 19 x d x True\n",
+ "xxxx 17 20 x g u False\n",
+ "seq1 18 0 u ! u False\n",
+ "xxxx 18 1 u g z False\n",
+ "xxxx 18 2 u f a False\n",
+ "xxxx 18 3 u e z False\n",
+ "xxxx 18 4 u g y False\n",
+ "xxxx 18 5 u f w False\n",
+ "xxxx 18 6 u a a False\n",
+ "xxxx 18 7 u h f False\n",
+ "xxxx 18 8 u g g False\n",
+ "xxxx 18 9 u d g False\n",
+ "xxxx 18 10 u a f False\n",
+ "xxxx 18 11 u a h False\n",
+ "xxxx 18 12 u f x False\n",
+ "xxxx 18 13 u g w False\n",
+ "xxxx 18 14 u g a False\n",
+ "xxxx 18 15 u f e False\n",
+ "xxxx 18 16 u h w False\n",
+ "xxxx 18 17 u a d False\n",
+ "xxxx 18 18 u e x False\n",
+ "seq1 18 19 u d u True\n",
+ "xxxx 18 20 u g z False\n",
+ "seq1 19 0 z ! z False\n",
+ "xxxx 19 1 z g a False\n",
+ "xxxx 19 2 z f z False\n",
+ "xxxx 19 3 z e y False\n",
+ "xxxx 19 4 z g w False\n",
+ "xxxx 19 5 z f a False\n",
+ "xxxx 19 6 z a f False\n",
+ "xxxx 19 7 z h g False\n",
+ "xxxx 19 8 z g g False\n",
+ "xxxx 19 9 z d f False\n",
+ "xxxx 19 10 z a h False\n",
+ "xxxx 19 11 z a x False\n",
+ "xxxx 19 12 z f w False\n",
+ "xxxx 19 13 z g a False\n",
+ "xxxx 19 14 z g e False\n",
+ "xxxx 19 15 z f w False\n",
+ "xxxx 19 16 z h d False\n",
+ "xxxx 19 17 z a x False\n",
+ "xxxx 19 18 z e u False\n",
+ "seq1 19 19 z d z True\n",
+ "xxxx 19 20 z g x False\n",
+ "seq1 20 0 x ! a False\n",
+ "xxxx 20 1 x g z False\n",
+ "xxxx 20 2 x f y False\n",
+ "xxxx 20 3 x e w False\n",
+ "xxxx 20 4 x g a False\n",
+ "xxxx 20 5 x f f False\n",
+ "xxxx 20 6 x a g False\n",
+ "xxxx 20 7 x h g False\n",
+ "xxxx 20 8 x g f False\n",
+ "xxxx 20 9 x d h False\n",
+ "xxxx 20 10 x a x False\n",
+ "xxxx 20 11 x a w False\n",
+ "xxxx 20 12 x f a False\n",
+ "xxxx 20 13 x g e False\n",
+ "xxxx 20 14 x g w False\n",
+ "xxxx 20 15 x f d False\n",
+ "xxxx 20 16 x h x False\n",
+ "xxxx 20 17 x a u False\n",
+ "xxxx 20 18 x e z False\n",
+ "seq1 20 19 x d x True\n",
+ "seq2 20 20 x g g True\n",
+ "T T T . . . . . . . . . . . . . . . . . .\n",
+ ". . T T . . . . . . . . . . . . . . . . .\n",
+ ". . . T T T T . . . . . . . . . . . . . .\n",
+ ". . . . . . T . . . . . . . . . . . . . .\n",
+ ". . . . . . T . . . . . . . . . . . . . .\n",
+ ". . . . . . T . . . . . . . . . . . . . .\n",
". . . . . . T . . . . . . . . . . . . . .\n",
". . . . . . T T . . . . . . . . . . . . .\n",
- ". . . . . . . T . . . . . . . . . . . . .\n",
- ". . . . . . . T . . . . . . . . . . . . .\n",
". . . . . . . T T T . . . . . . . . . . .\n",
+ ". . . . . . . . . T . . . . . . . . . . .\n",
". . . . . . . . . T T . . . . . . . . . .\n",
". . . . . . . . . . T . . . . . . . . . .\n",
- ". . . . . . . . . . T T T . . . . . . . .\n",
- ". . . . . . . . . . . . T . . . . . . . .\n",
- ". . . . . . . . . . . . T . . . . . . . .\n",
- ". . . . . . . . . . . . T T . . . . . . .\n",
- ". . . . . . . . . . . . . T T . . . . . .\n",
- ". . . . . . . . . . . . . . T T T . . . .\n",
- ". . . . . . . . . . . . . . . . T T T T T\n"
+ ". . . . . . . . . . T . . . . . . . . . .\n",
+ ". . . . . . . . . . T T T T T T T . . . .\n",
+ ". . . . . . . . . . . . . . . . T . . . .\n",
+ ". . . . . . . . . . . . . . . . T T T . .\n",
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- ". . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . T . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
". . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
". . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
". . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . T . T T T . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . T . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T T . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . T T T . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . T T . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . T T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . T . . . . T T . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T . . . . . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . T . T T T T T T T . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . T . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . . .\n",
". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T\n",
- "badFbgfAHFGBaDECaHcBAhFhChBChAgghhDCeFCHbahhHcbCgaCFbcfFHafeFGEAeGDhfcabhHbDCaaccgEbcfEBCaeCBHGDEFGD\n"
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T . . . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T . . . . . . .\n",
+ ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T T T T T T T T\n",
+ "CHCCfbEhaAHfDCagHeaBdeDEAeHGdAbcCBFdBFEBfFEffaFACFaEbefeeBfHHCDfaffFgebdGFGGGbFchcEAHgAAfDcgDggecbgh\n"
]
},
{
@@ -1557,7 +1579,7 @@
{
"data": {
"text/plain": [
- "('gbaehdacgdebgaebecfbefcbehfgcheaccdehbfdfadebhcehd', False, False)"
+ "('cbchedabcadedhfafahdaacbhhhedfhgceafghceehaefaebcc', False, False)"
]
},
"execution_count": 30,
@@ -1579,11 +1601,11 @@
"name": "stdout",
"output_type": "stream",
"text": [
+ "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
+ "T T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
"T . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
- ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\n",
@@ -1664,13 +1686,17 @@
" return s2 == s3\n",
" elif not s2:\n",
" return s1 == s3\n",
+ " elif len(s1) + len(s2) != len(s3):\n",
+ " return False\n",
" else:\n",
- " if s1[-1] == s2[-1] and s1[-1] == s3[-1]:\n",
- " return is_interleave_recursive(s1[:-1], s2, s3[:-1]) or is_interleave(s1, s2[:-1], s3[:-1])\n",
+ " if s1[-1] == s3[-1] and s2[-1] == s3[-1]:\n",
+ " return (is_interleave_recursive(s1[:-1], s2, s3[:-1]) \n",
+ " or \n",
+ " is_interleave_recursive(s1, s2[:-1], s3[:-1]) )\n",
" elif s1[-1] == s3[-1]:\n",
" return is_interleave_recursive(s1[:-1], s2, s3[:-1])\n",
" elif s2[-1] == s3[-1]:\n",
- " return is_interleave(s1, s2[:-1], s3[:-1])\n",
+ " return is_interleave_recursive(s1, s2[:-1], s3[:-1])\n",
" else:\n",
" return False"
]
@@ -1682,6 +1708,431 @@
"collapsed": true
},
"outputs": [],
+ "source": [
+ "import uuid"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def is_subseq_recursive_dot(s1, s2):\n",
+ " node_id = uuid.uuid4().hex\n",
+ " node_string = 'n{} [label=\"{}\\\\n{}\"];'.format(node_id, s1, s2)\n",
+ "# print(s1, s2, node_string)\n",
+ " if not s1:\n",
+ " return node_id, ['n{} [label=\"-\\\\n{}\\\\nTrue\"];'.format(node_id, s2)]\n",
+ " elif len(s1) > len(s2):\n",
+ " return node_id, ['n{} [label=\"{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2)]\n",
+ " else:\n",
+ " if s1[-1] == s2[-1]:\n",
+ " node1_id, node1_graph = is_subseq_recursive_dot(s1[:-1], s2[:-1])\n",
+ " node2_id, node2_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
+ " return node_id, ([node_string, \n",
+ " 'n{} -> n{};'.format(node_id, node1_id), \n",
+ " 'n{} -> n{};'.format(node_id, node2_id)] + \n",
+ " node1_graph + node2_graph)\n",
+ " else:\n",
+ " node1_id, node1_graph = is_subseq_recursive_dot(s1, s2[:-1])\n",
+ " return node_id, ([node_string, \n",
+ " 'n{} -> n{};'.format(node_id, node1_id)] + \n",
+ " node1_graph)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def is_interleave_recursive_dot(s1, s2, s3):\n",
+ " \n",
+ "# print(s1, s2, s3)\n",
+ " node_id = uuid.uuid4().hex\n",
+ " node_string = 'n{} [label=\"{}\\\\n{}\\\\n{}\"];'.format(node_id, s1, s2, s3)\n",
+ "\n",
+ " if not s1:\n",
+ " if s2 == s3:\n",
+ " return node_id, ['n{} [label=\"-\\\\n{}\\\\n{}\\\\nTrue\"];'.format(node_id, s2, s3)]\n",
+ " else:\n",
+ " return node_id, ['n{} [label=\"-\\\\n{}\\\\n{}\\\\nFalse\"];'.format(node_id, s2, s3)]\n",
+ " elif not s2:\n",
+ " if s1 == s3:\n",
+ " return node_id, ['n{} [label=\"{}\\\\n-\\\\n{}\\\\nTrue\"];'.format(node_id, s1, s3)]\n",
+ " else:\n",
+ " return node_id, ['n{} [label=\"{}\\\\n-\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s3)]\n",
+ " else:\n",
+ " if s1[-1] == s2[-1] and s1[-1] == s3[-1]:\n",
+ " node1_id, node1_graph = is_interleave_recursive_dot(s1[:-1], s2, s3[:-1])\n",
+ " node2_id, node2_graph = is_interleave_recursive_dot(s1, s2[:-1], s3[:-1])\n",
+ " return node_id, ([node_string, \n",
+ " 'n{} -> n{};'.format(node_id, node1_id), \n",
+ " 'n{} -> n{};'.format(node_id, node2_id)] + \n",
+ " node1_graph + node2_graph)\n",
+ " elif s1[-1] == s3[-1]:\n",
+ " node1_id, node1_graph = is_interleave_recursive_dot(s1[:-1], s2, s3[:-1])\n",
+ " return node_id, ([node_string, \n",
+ " 'n{} -> n{};'.format(node_id, node1_id)] + \n",
+ " node1_graph)\n",
+ " elif s2[-1] == s3[-1]:\n",
+ " node1_id, node1_graph = is_interleave_recursive_dot(s1, s2[:-1], s3[:-1])\n",
+ " return node_id, ([node_string, \n",
+ " 'n{} -> n{};'.format(node_id, node1_id)] + \n",
+ " node1_graph)\n",
+ " else:\n",
+ " return node_id, ['n{} [label=\"{}\\\\n{}\\\\n{}\\\\nFalse\"];'.format(node_id, s1, s2, s3)]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "s1 = \"aabcc\"\n",
+ "s2 = \"dbbca\"\n",
+ "\n",
+ "s3t = \"aadbbcbcac\"\n",
+ "s3f = \"aadbbbaccc\""
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "T . . . . .\n",
+ "T . . . . .\n",
+ "T T T T T .\n",
+ ". T T . T .\n",
+ ". . T T T T\n",
+ ". . . T . T\n",
+ "AAdbbcBCaC\n"
+ ]
+ }
+ ],
+ "source": [
+ "v, bp, t = is_interleave(s1, s2, s3t, return_backpointers=True, return_table=True)\n",
+ "print(show_table(t))\n",
+ "print(show_backtrace(bp))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def show_table_md(table, s1, s2, s3):\n",
+ " header = '| |' + '|'.join('{}
{}'.format('
'.join(str(s2[:i])), i) for i in range(len(s2) + 1)) + '|'\n",
+ " separator = '|:---:' * (len(s2) + 2) + '|'\n",
+ " rows = []\n",
+ " columns = sorted(set(k[1] for k in table))\n",
+ " for r in range(len(s1) + 1):\n",
+ " row = '|**{}
{}**|'.format(r, s1[:r])\n",
+ " row += '|'.join('{}
T'.format(s3[:(r+c)]) if table[r, c] else '{}
.'.format(s3[:(r+c)]) for c in columns)\n",
+ " row += '|'\n",
+ " rows += [row]\n",
+ " return '\\n'.join([header] + [separator] + rows)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "| |
0|d
1|d
b
2|d
b
b
3|d
b
b
c
4|d
b
b
c
a
5|\n",
+ "|:---:|:---:|:---:|:---:|:---:|:---:|:---:|\n",
+ "|**0
**|
T|a
.|aa
.|aad
.|aadb
.|aadbb
.|\n",
+ "|**1
a**|a
T|aa
.|aad
.|aadb
.|aadbb
.|aadbbc
.|\n",
+ "|**2
aa**|aa
T|aad
T|aadb
T|aadbb
T|aadbbc
T|aadbbcb
.|\n",
+ "|**3
aab**|aad
.|aadb
T|aadbb
T|aadbbc
.|aadbbcb
T|aadbbcbc
.|\n",
+ "|**4
aabc**|aadb
.|aadbb
.|aadbbc
T|aadbbcb
T|aadbbcbc
T|aadbbcbca
T|\n",
+ "|**5
aabcc**|aadbb
.|aadbbc
.|aadbbcb
.|aadbbcbc
T|aadbbcbca
.|aadbbcbcac
T|\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(show_table_md(t, s1, s2, s3t))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "| |
0|d
1|d
b
2|d
b
b
3|d
b
b
c
4|d
b
b
c
a
5|\n",
+ "|:---:|:---:|:---:|:---:|:---:|:---:|:---:|\n",
+ "|**0
**|
T|a
.|aa
.|aad
.|aadb
.|aadbb
.|\n",
+ "|**1
a**|a
T|aa
.|aad
.|aadb
.|aadbb
.|aadbbc
.|\n",
+ "|**2
aa**|aa
T|aad
T|aadb
T|aadbb
T|aadbbc
T|aadbbcb
.|\n",
+ "|**3
aab**|aad
.|aadb
T|aadbb
T|aadbbc
.|aadbbcb
T|aadbbcbc
.|\n",
+ "|**4
aabc**|aadb
.|aadbb
.|aadbbc
T|aadbbcb
T|aadbbcbc
T|aadbbcbca
T|\n",
+ "|**5
aabcc**|aadbb
.|aadbbc
.|aadbbcb
.|aadbbcbc
T|aadbbcbca
.|aadbbcbcac
T|"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "T T T T\n",
+ "T . T .\n",
+ ". . T T\n",
+ ". . . T\n",
+ "abACaB\n"
+ ]
+ }
+ ],
+ "source": [
+ "e1 = 'acb'\n",
+ "e2 = 'aba'\n",
+ "e3 = 'abacab'\n",
+ "v, bp, et = is_interleave(e1, e2, e3, return_backpointers=True, return_table=True)\n",
+ "print(show_table(et))\n",
+ "print(show_backtrace(bp))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "| |
0|a
1|a
b
2|a
b
a
3|\n",
+ "|:---:|:---:|:---:|:---:|:---:|\n",
+ "|**0
**|
T|a
T|ab
T|aba
T|\n",
+ "|**1
a**|a
T|ab
.|aba
T|abac
.|\n",
+ "|**2
ac**|ab
.|aba
.|abac
T|abaca
T|\n",
+ "|**3
acb**|aba
.|abac
.|abaca
.|abacab
T|\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(show_table_md(et, e1, e2, e3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "| |
0|a
1|a
b
2|a
b
a
3|\n",
+ "|:---:|:---:|:---:|:---:|:---:|\n",
+ "|**0
**|
T|a
T|ab
T|aba
T|\n",
+ "|**1
a**|a
T|ab
.|aba
T|abac
.|\n",
+ "|**2
ac**|ab
.|aba
.|abac
T|abaca
T|\n",
+ "|**3
acb**|aba
.|abac
.|abaca
.|abacab
T|"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "ndf96f65c85de45ba814c3aebe4afed65 [label=\"aabcc\\ndbbca\\naadbbcbcac\"];\n",
+ "ndf96f65c85de45ba814c3aebe4afed65 -> n0e6e480c9d664ba2af7e041445763b66;\n",
+ "n0e6e480c9d664ba2af7e041445763b66 [label=\"aabc\\ndbbca\\naadbbcbca\"];\n",
+ "n0e6e480c9d664ba2af7e041445763b66 -> nc7f25932eaf1431cb98430f8b1644221;\n",
+ "nc7f25932eaf1431cb98430f8b1644221 [label=\"aabc\\ndbbc\\naadbbcbc\"];\n",
+ "nc7f25932eaf1431cb98430f8b1644221 -> ncd2942f9e99443619c6ce1d72a10da75;\n",
+ "nc7f25932eaf1431cb98430f8b1644221 -> n0e76b3b46aba4a8abdbd569a0762170a;\n",
+ "ncd2942f9e99443619c6ce1d72a10da75 [label=\"aab\\ndbbc\\naadbbcb\"];\n",
+ "ncd2942f9e99443619c6ce1d72a10da75 -> n4762ffa7e0c6426792438c6f84c9d2f9;\n",
+ "n4762ffa7e0c6426792438c6f84c9d2f9 [label=\"aa\\ndbbc\\naadbbc\"];\n",
+ "n4762ffa7e0c6426792438c6f84c9d2f9 -> n9434633af1674b45ae72a987932bcacc;\n",
+ "n9434633af1674b45ae72a987932bcacc [label=\"aa\\ndbb\\naadbb\"];\n",
+ "n9434633af1674b45ae72a987932bcacc -> n72dd6ed85e8d43d39b1c6b240f672815;\n",
+ "n72dd6ed85e8d43d39b1c6b240f672815 [label=\"aa\\ndb\\naadb\"];\n",
+ "n72dd6ed85e8d43d39b1c6b240f672815 -> nf904e4ea330a48028602500e910001ba;\n",
+ "nf904e4ea330a48028602500e910001ba [label=\"aa\\nd\\naad\"];\n",
+ "nf904e4ea330a48028602500e910001ba -> nc2246b72d95748f5984f7a9a922afafa;\n",
+ "nc2246b72d95748f5984f7a9a922afafa [label=\"aa\\n-\\naa\\nTrue\"];\n",
+ "n0e76b3b46aba4a8abdbd569a0762170a [label=\"aabc\\ndbb\\naadbbcb\"];\n",
+ "n0e76b3b46aba4a8abdbd569a0762170a -> nde239312af534c47988db27094dc5e3b;\n",
+ "nde239312af534c47988db27094dc5e3b [label=\"aabc\\ndb\\naadbbc\"];\n",
+ "nde239312af534c47988db27094dc5e3b -> n0571e43544db4baea762dd9382a90eab;\n",
+ "n0571e43544db4baea762dd9382a90eab [label=\"aab\\ndb\\naadbb\"];\n",
+ "n0571e43544db4baea762dd9382a90eab -> nd24f1944051440d6b94710a3b971c134;\n",
+ "n0571e43544db4baea762dd9382a90eab -> n671eff7dd1f945a28e7bcd0647d7d40d;\n",
+ "nd24f1944051440d6b94710a3b971c134 [label=\"aa\\ndb\\naadb\"];\n",
+ "nd24f1944051440d6b94710a3b971c134 -> n26480b1bcee847adaeb205f2e844a4e5;\n",
+ "n26480b1bcee847adaeb205f2e844a4e5 [label=\"aa\\nd\\naad\"];\n",
+ "n26480b1bcee847adaeb205f2e844a4e5 -> n162a36ef08174bafa51dbf89a58965df;\n",
+ "n162a36ef08174bafa51dbf89a58965df [label=\"aa\\n-\\naa\\nTrue\"];\n",
+ "n671eff7dd1f945a28e7bcd0647d7d40d [label=\"aab\\nd\\naadb\"];\n",
+ "n671eff7dd1f945a28e7bcd0647d7d40d -> n8d9c2dc78a9047d4a243d316e87dd782;\n",
+ "n8d9c2dc78a9047d4a243d316e87dd782 [label=\"aa\\nd\\naad\"];\n",
+ "n8d9c2dc78a9047d4a243d316e87dd782 -> n6d893e899f6f4f77a30c3be1eeef25d0;\n",
+ "n6d893e899f6f4f77a30c3be1eeef25d0 [label=\"aa\\n-\\naa\\nTrue\"];\n"
+ ]
+ }
+ ],
+ "source": [
+ "root, graph = is_interleave_recursive_dot(s1, s2, s3t)\n",
+ "print('\\n'.join(graph))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "n8ab105a57ff44daa8fa8c0bd8275721c [label=\"aaa\\naaa\\naaaaaa\"];\n",
+ "n8ab105a57ff44daa8fa8c0bd8275721c -> ndd3ec050e4d441ba9f5eca4140804aa2;\n",
+ "n8ab105a57ff44daa8fa8c0bd8275721c -> n5fe9af06410d4e3796f3e5b09724befb;\n",
+ "ndd3ec050e4d441ba9f5eca4140804aa2 [label=\"aa\\naaa\\naaaaa\"];\n",
+ "ndd3ec050e4d441ba9f5eca4140804aa2 -> n4da003b54dd94728a1aa1890f1a9250a;\n",
+ "ndd3ec050e4d441ba9f5eca4140804aa2 -> ncb2a3fd92dc6414a99dc115990760e7c;\n",
+ "n4da003b54dd94728a1aa1890f1a9250a [label=\"a\\naaa\\naaaa\"];\n",
+ "n4da003b54dd94728a1aa1890f1a9250a -> n699e6ec8bba74ec394a68d5c2d306c30;\n",
+ "n4da003b54dd94728a1aa1890f1a9250a -> n71376b3b5e614617ba68dccf8d9677cc;\n",
+ "n699e6ec8bba74ec394a68d5c2d306c30 [label=\"-\\naaa\\naaa\\nTrue\"];\n",
+ "n71376b3b5e614617ba68dccf8d9677cc [label=\"a\\naa\\naaa\"];\n",
+ "n71376b3b5e614617ba68dccf8d9677cc -> nb876b970b38f4ba2937a69ba491f308c;\n",
+ "n71376b3b5e614617ba68dccf8d9677cc -> nfb2ebec95c5c46c6b160c511031f5417;\n",
+ "nb876b970b38f4ba2937a69ba491f308c [label=\"-\\naa\\naa\\nTrue\"];\n",
+ "nfb2ebec95c5c46c6b160c511031f5417 [label=\"a\\na\\naa\"];\n",
+ "nfb2ebec95c5c46c6b160c511031f5417 -> ndcf30cbbd8f646adb30c01e8fbc8aaaf;\n",
+ "nfb2ebec95c5c46c6b160c511031f5417 -> n9bb6593bab3c47e59f83df2767b67a3a;\n",
+ "ndcf30cbbd8f646adb30c01e8fbc8aaaf [label=\"-\\na\\na\\nTrue\"];\n",
+ "n9bb6593bab3c47e59f83df2767b67a3a [label=\"a\\n-\\na\\nTrue\"];\n",
+ "ncb2a3fd92dc6414a99dc115990760e7c [label=\"aa\\naa\\naaaa\"];\n",
+ "ncb2a3fd92dc6414a99dc115990760e7c -> n937d754714994223bc97015534e1806e;\n",
+ "ncb2a3fd92dc6414a99dc115990760e7c -> n553eac2d6c4542448a5c82b781e963b1;\n",
+ "n937d754714994223bc97015534e1806e [label=\"a\\naa\\naaa\"];\n",
+ "n937d754714994223bc97015534e1806e -> n08a6688eb7df48f8834787728a0e36a2;\n",
+ "n937d754714994223bc97015534e1806e -> n063d395576474c5b82d810b2b70e7e3c;\n",
+ "n08a6688eb7df48f8834787728a0e36a2 [label=\"-\\naa\\naa\\nTrue\"];\n",
+ "n063d395576474c5b82d810b2b70e7e3c [label=\"a\\na\\naa\"];\n",
+ "n063d395576474c5b82d810b2b70e7e3c -> n04b9f6aea46c458da227558ab02a0b4c;\n",
+ "n063d395576474c5b82d810b2b70e7e3c -> nc067208a5ab64f8c9904d58b738b81e4;\n",
+ "n04b9f6aea46c458da227558ab02a0b4c [label=\"-\\na\\na\\nTrue\"];\n",
+ "nc067208a5ab64f8c9904d58b738b81e4 [label=\"a\\n-\\na\\nTrue\"];\n",
+ "n553eac2d6c4542448a5c82b781e963b1 [label=\"aa\\na\\naaa\"];\n",
+ "n553eac2d6c4542448a5c82b781e963b1 -> n5d50905c46ce4dc8bcb59fb62984fa54;\n",
+ "n553eac2d6c4542448a5c82b781e963b1 -> n6768e9ad78804e65b1bde9cb655f2a60;\n",
+ "n5d50905c46ce4dc8bcb59fb62984fa54 [label=\"a\\na\\naa\"];\n",
+ "n5d50905c46ce4dc8bcb59fb62984fa54 -> n22bc48dd2aa84e79a387252cc28f3a92;\n",
+ "n5d50905c46ce4dc8bcb59fb62984fa54 -> n853ef88a20ee48a4bccf390498c96f5d;\n",
+ "n22bc48dd2aa84e79a387252cc28f3a92 [label=\"-\\na\\na\\nTrue\"];\n",
+ "n853ef88a20ee48a4bccf390498c96f5d [label=\"a\\n-\\na\\nTrue\"];\n",
+ "n6768e9ad78804e65b1bde9cb655f2a60 [label=\"aa\\n-\\naa\\nTrue\"];\n",
+ "n5fe9af06410d4e3796f3e5b09724befb [label=\"aaa\\naa\\naaaaa\"];\n",
+ "n5fe9af06410d4e3796f3e5b09724befb -> ne6b19fc7e02b4981a1edc20c7fe0cce0;\n",
+ "n5fe9af06410d4e3796f3e5b09724befb -> ne0c07d6d54f045a5b4bf9eb10bd8d810;\n",
+ "ne6b19fc7e02b4981a1edc20c7fe0cce0 [label=\"aa\\naa\\naaaa\"];\n",
+ "ne6b19fc7e02b4981a1edc20c7fe0cce0 -> n9d2cfd4e9cf2473bbd05a8a7e2a96714;\n",
+ "ne6b19fc7e02b4981a1edc20c7fe0cce0 -> n3d4e61bc032c4f8387c269d8ac49cc3f;\n",
+ "n9d2cfd4e9cf2473bbd05a8a7e2a96714 [label=\"a\\naa\\naaa\"];\n",
+ "n9d2cfd4e9cf2473bbd05a8a7e2a96714 -> n214f88e71d504eaba78b46c5a5bbe31d;\n",
+ "n9d2cfd4e9cf2473bbd05a8a7e2a96714 -> n2890559b11cb49c9aa083a76a7b68ce4;\n",
+ "n214f88e71d504eaba78b46c5a5bbe31d [label=\"-\\naa\\naa\\nTrue\"];\n",
+ "n2890559b11cb49c9aa083a76a7b68ce4 [label=\"a\\na\\naa\"];\n",
+ "n2890559b11cb49c9aa083a76a7b68ce4 -> n5d37f312b10341d09e2faa4fb4f40e3c;\n",
+ "n2890559b11cb49c9aa083a76a7b68ce4 -> nd73fc499c4214ddbbe7155f97c9ff394;\n",
+ "n5d37f312b10341d09e2faa4fb4f40e3c [label=\"-\\na\\na\\nTrue\"];\n",
+ "nd73fc499c4214ddbbe7155f97c9ff394 [label=\"a\\n-\\na\\nTrue\"];\n",
+ "n3d4e61bc032c4f8387c269d8ac49cc3f [label=\"aa\\na\\naaa\"];\n",
+ "n3d4e61bc032c4f8387c269d8ac49cc3f -> nfac20fc8bb7441f891ac0380259f3b76;\n",
+ "n3d4e61bc032c4f8387c269d8ac49cc3f -> n9d9c86dc313f48b69d9c2693ee32e7ab;\n",
+ "nfac20fc8bb7441f891ac0380259f3b76 [label=\"a\\na\\naa\"];\n",
+ "nfac20fc8bb7441f891ac0380259f3b76 -> n14489559bae24e99b2d816716ceef683;\n",
+ "nfac20fc8bb7441f891ac0380259f3b76 -> n44c425cd261c4c19971a47901723f942;\n",
+ "n14489559bae24e99b2d816716ceef683 [label=\"-\\na\\na\\nTrue\"];\n",
+ "n44c425cd261c4c19971a47901723f942 [label=\"a\\n-\\na\\nTrue\"];\n",
+ "n9d9c86dc313f48b69d9c2693ee32e7ab [label=\"aa\\n-\\naa\\nTrue\"];\n",
+ "ne0c07d6d54f045a5b4bf9eb10bd8d810 [label=\"aaa\\na\\naaaa\"];\n",
+ "ne0c07d6d54f045a5b4bf9eb10bd8d810 -> n8d8289489db44271b99f22c572668eaa;\n",
+ "ne0c07d6d54f045a5b4bf9eb10bd8d810 -> n4eda0dd1e0e34c8c9a81beba5c70fe5f;\n",
+ "n8d8289489db44271b99f22c572668eaa [label=\"aa\\na\\naaa\"];\n",
+ "n8d8289489db44271b99f22c572668eaa -> n156514e9dbcb44a8a6b4d96f1ec3e48f;\n",
+ "n8d8289489db44271b99f22c572668eaa -> n3ba7c5a0cc3b405aa6ca7899ee85a518;\n",
+ "n156514e9dbcb44a8a6b4d96f1ec3e48f [label=\"a\\na\\naa\"];\n",
+ "n156514e9dbcb44a8a6b4d96f1ec3e48f -> n3b99ff94eb914661bafe9ba4c0c997e2;\n",
+ "n156514e9dbcb44a8a6b4d96f1ec3e48f -> n91eac98d4ed74a1f99fd48ca60111d2c;\n",
+ "n3b99ff94eb914661bafe9ba4c0c997e2 [label=\"-\\na\\na\\nTrue\"];\n",
+ "n91eac98d4ed74a1f99fd48ca60111d2c [label=\"a\\n-\\na\\nTrue\"];\n",
+ "n3ba7c5a0cc3b405aa6ca7899ee85a518 [label=\"aa\\n-\\naa\\nTrue\"];\n",
+ "n4eda0dd1e0e34c8c9a81beba5c70fe5f [label=\"aaa\\n-\\naaa\\nTrue\"];\n"
+ ]
+ }
+ ],
+ "source": [
+ "root, graph = is_interleave_recursive_dot('aaa', 'aaa', 'aaaaaa')\n",
+ "print('\\n'.join(graph))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "n5d63e71661ed4a8ead31b5c5f9c1949b [label=\"acb\\naba\\nabacab\"];\n",
+ "n5d63e71661ed4a8ead31b5c5f9c1949b -> n11bd1802979b4332bdf9cf6cc3b2a51c;\n",
+ "n11bd1802979b4332bdf9cf6cc3b2a51c [label=\"ac\\naba\\nabaca\"];\n",
+ "n11bd1802979b4332bdf9cf6cc3b2a51c -> n8a082af1ba074b84b7410b97554be94f;\n",
+ "n8a082af1ba074b84b7410b97554be94f [label=\"ac\\nab\\nabac\"];\n",
+ "n8a082af1ba074b84b7410b97554be94f -> n6ec78858d88046c8b8531a63f38825b3;\n",
+ "n6ec78858d88046c8b8531a63f38825b3 [label=\"a\\nab\\naba\"];\n",
+ "n6ec78858d88046c8b8531a63f38825b3 -> na563514a3f194725be7160850c3c8369;\n",
+ "na563514a3f194725be7160850c3c8369 [label=\"-\\nab\\nab\\nTrue\"];\n"
+ ]
+ }
+ ],
+ "source": [
+ "root, graph = is_interleave_recursive_dot(e1, e2, e3)\n",
+ "print('\\n'.join(graph))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
"source": [
"s1 = make_string(500)\n",
"s2 = make_string(500)\n",
@@ -1692,7 +2143,7 @@
},
{
"cell_type": "code",
- "execution_count": 34,
+ "execution_count": 48,
"metadata": {},
"outputs": [
{
@@ -1701,7 +2152,7 @@
"True"
]
},
- "execution_count": 34,
+ "execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
@@ -1712,7 +2163,7 @@
},
{
"cell_type": "code",
- "execution_count": 35,
+ "execution_count": 49,
"metadata": {},
"outputs": [
{
@@ -1721,7 +2172,7 @@
"False"
]
},
- "execution_count": 35,
+ "execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
@@ -1739,7 +2190,7 @@
},
{
"cell_type": "code",
- "execution_count": 36,
+ "execution_count": 50,
"metadata": {
"collapsed": true
},
@@ -1752,7 +2203,7 @@
},
{
"cell_type": "code",
- "execution_count": 37,
+ "execution_count": 51,
"metadata": {
"collapsed": true
},
@@ -1778,29 +2229,29 @@
},
{
"cell_type": "code",
- "execution_count": 73,
+ "execution_count": 52,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "0: accbadaadc\n",
- "1: bbbbaabada\n",
- "2: cdaacacadcddbccacdab\n",
- "3: bbcdabbaaabcbcadcaac\n",
- "4: accbbabbdbaaabadaadc\n",
- "5: acadcdddab\n",
- "6: aacccabaddcdaddaabdc\n"
+ "0: ddadbdcbdc\n",
+ "1: bbcbbabdab\n",
+ "2: dcddddbbdb\n",
+ "3: cccbbbcbabadbddcabda\n",
+ "4: ddcdddadddbbbddbcbdc\n",
+ "5: dcccdddcbdbadbdbdcda\n",
+ "6: ddadbbcbbbdacbbdcdab\n"
]
},
{
"data": {
"text/plain": [
- "['accbbabbdbaaabadaadc']"
+ "['ddadbbcbbbdacbbdcdab']"
]
},
- "execution_count": 73,
+ "execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
@@ -1821,7 +2272,7 @@
},
{
"cell_type": "code",
- "execution_count": 74,
+ "execution_count": 53,
"metadata": {},
"outputs": [
{
@@ -1829,19 +2280,19 @@
"output_type": "stream",
"text": [
"* . . . . . . . . . .\n",
+ "d . . . . . . . . . .\n",
+ "d . . . . . . . . . .\n",
"a . . . . . . . . . .\n",
- "c . . . . . . . . . .\n",
- "c b b . . . . . . . .\n",
- "b b . . . . . . . . .\n",
- ". a b b . . . . . . .\n",
- ". . . d b a a . . . .\n",
- ". . . . a a a b a d a\n",
- ". . . . a a . a . a a\n",
- ". . . . . . . d a . d\n",
- ". . . . . . . . . . c\n",
- "ACCbBAbbDbaaAbadaADC\n",
- "accbbabbdbaaabadaadc\n",
- "*** ** * * ***\n"
+ "d b b c b b . . . . .\n",
+ "b b . b b b . . . . .\n",
+ ". . . . . d a . . . .\n",
+ ". . . . . . c b . . .\n",
+ ". . . . . . b b d . .\n",
+ ". . . . . . . d . . .\n",
+ ". . . . . . . c d a b\n",
+ "DDADbbcbbBDaCbBDCdab\n",
+ "ddadbbcbbbdacbbdcdab\n",
+ "**** ** * *** \n"
]
},
{
@@ -1850,7 +2301,7 @@
"True"
]
},
- "execution_count": 74,
+ "execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
@@ -1865,24 +2316,24 @@
},
{
"cell_type": "code",
- "execution_count": 75,
+ "execution_count": 54,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "aacccabaddcdaddaabdc\n",
- " * ** ** * * * **\n"
+ "ddcdddadddbbbddbcbdc\n",
+ " * ** * * * ****\n"
]
},
{
"data": {
"text/plain": [
- "6"
+ "4"
]
},
- "execution_count": 75,
+ "execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
@@ -1896,27 +2347,27 @@
},
{
"cell_type": "code",
- "execution_count": 39,
+ "execution_count": 55,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "* . . . . . . . . . .\n",
- "b d . . . . . . . . .\n",
- ". b c c . . . . . . .\n",
- ". . . d . . . . . . .\n",
- ". . . c a a . . . . .\n",
- ". . . a a a . . . . .\n",
- ". . . a a a d a . . .\n",
- ". . . a a . a a b a c\n",
- ". . . . d a . . . . d\n",
- ". . . . . . . . . . d\n",
- ". . . . . . . . . . c\n",
- "BdBccDCaaAAdaAbacDDC\n",
- "bdbccdcaaaadaabacddc\n",
- "* * ** ** * ***\n"
+ "* d d a d b . . . . .\n",
+ ". . . . b b . . . . .\n",
+ ". . . . b . . . . . .\n",
+ ". . . . c b . . . . .\n",
+ ". . . . b b . . . . .\n",
+ ". . . . b b d . . . .\n",
+ ". . . . . . a c b . .\n",
+ ". . . . . . . b b d c\n",
+ ". . . . . . . . d . d\n",
+ ". . . . . . . . . . a\n",
+ ". . . . . . . . . . b\n",
+ "ddadBBCbBBdAcbBdcDAB\n",
+ "ddadbbcbbbdacbbdcdab\n",
+ " *** ** * * ***\n"
]
},
{
@@ -1925,7 +2376,7 @@
"True"
]
},
- "execution_count": 39,
+ "execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
@@ -1940,19 +2391,19 @@
},
{
"cell_type": "code",
- "execution_count": 40,
+ "execution_count": 56,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "* . . . . . . . . . .\n",
- ". . . . . . . . . . .\n",
- ". . . . . . . . . . .\n",
- ". . . . . . . . . . .\n",
- ". . . . . . . . . . .\n",
- ". . . . . . . . . . .\n",
+ "* d . . . . . . . . .\n",
+ "d d . . . . . . . . .\n",
+ "d . . . . . . . . . .\n",
+ "a d . . . . . . . . .\n",
+ "d . . . . . . . . . .\n",
+ "b . . . . . . . . . .\n",
". . . . . . . . . . .\n",
". . . . . . . . . . .\n",
". . . . . . . . . . .\n",
@@ -1968,7 +2419,7 @@
"False"
]
},
- "execution_count": 40,
+ "execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
@@ -1983,15 +2434,14 @@
},
{
"cell_type": "code",
- "execution_count": 41,
+ "execution_count": 57,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "* . . . . . . . . . .\n",
- "b . . . . . . . . . .\n",
+ "* d . . . . . . . . .\n",
". . . . . . . . . . .\n",
". . . . . . . . . . .\n",
". . . . . . . . . . .\n",
@@ -2001,9 +2451,10 @@
". . . . . . . . . . .\n",
". . . . . . . . . . .\n",
". . . . . . . . . . .\n",
- "B\n",
- "b\n",
- "*\n"
+ ". . . . . . . . . . .\n",
+ "d\n",
+ "d\n",
+ " \n"
]
},
{
@@ -2012,7 +2463,7 @@
"False"
]
},
- "execution_count": 41,
+ "execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
@@ -2031,12 +2482,24 @@
"collapsed": true
},
"source": [
- "# Make puzzle data"
+ "# Make puzzle data\n",
+ "\n",
+ "## Note to self\n",
+ "Include some distractors in the test set, such that:\n",
+ "* subsequence(my_bill, distractor) is true\n",
+ "* subsequence(friend_bill, distractor) is true\n",
+ "* interleave(my_bill, friend_bill, distractor) is false\n",
+ "\n",
+ "(i.e. characters are shared between my_bill and friend_bill)\n",
+ "\n",
+ "Students are taking a greedy approach to subsequence, and saying the interleave is true if both bills are subsequences of the distractor.\n",
+ "\n",
+ "i.e. \"aaa\" and \"aab\" are both subsequences of \"aaabbb\", but cannot be interleaved to form \"aaabbb\".\n"
]
},
{
"cell_type": "code",
- "execution_count": 47,
+ "execution_count": 58,
"metadata": {
"collapsed": true
},
@@ -2057,7 +2520,7 @@
},
{
"cell_type": "code",
- "execution_count": 48,
+ "execution_count": 59,
"metadata": {
"collapsed": true
},
@@ -2068,15 +2531,15 @@
},
{
"cell_type": "code",
- "execution_count": 49,
+ "execution_count": 60,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "CPU times: user 3.16 s, sys: 8 ms, total: 3.16 s\n",
- "Wall time: 3.17 s\n"
+ "CPU times: user 3.2 s, sys: 96 ms, total: 3.3 s\n",
+ "Wall time: 3.3 s\n"
]
},
{
@@ -2085,7 +2548,7 @@
"[0]"
]
},
- "execution_count": 49,
+ "execution_count": 60,
"metadata": {},
"output_type": "execute_result"
}
@@ -2096,15 +2559,15 @@
},
{
"cell_type": "code",
- "execution_count": 50,
+ "execution_count": 61,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "CPU times: user 788 ms, sys: 0 ns, total: 788 ms\n",
- "Wall time: 789 ms\n"
+ "CPU times: user 0 ns, sys: 0 ns, total: 0 ns\n",
+ "Wall time: 570 µs\n"
]
},
{
@@ -2113,7 +2576,7 @@
"[0]"
]
},
- "execution_count": 50,
+ "execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
@@ -2124,7 +2587,7 @@
},
{
"cell_type": "code",
- "execution_count": 51,
+ "execution_count": 62,
"metadata": {
"collapsed": true
},
@@ -2139,6 +2602,208 @@
"# f.write('{}: {}\\n'.format(i, b))"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 63,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def is_subseq_greedy(s1, s2):\n",
+ " i = j = 0\n",
+ " while i < len(s1) and j < len(s2):\n",
+ " if s1[i] == s2[j]:\n",
+ " i += 1\n",
+ " j += 1\n",
+ " return i == len(s1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 64,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def subseq_partition(s1, s2):\n",
+ " i = j = 0\n",
+ " remainder = ''\n",
+ " while i < len(s1) and j < len(s2):\n",
+ " if s1[i] == s2[j]:\n",
+ " i += 1\n",
+ " else:\n",
+ " remainder += s2[j]\n",
+ " j += 1\n",
+ " return i == len(s1), remainder"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 65,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(40, 40, 20, 20)"
+ ]
+ },
+ "execution_count": 65,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "common = make_string(10)\n",
+ "padding = make_string(10)\n",
+ "middle = interleave(common, padding)\n",
+ "\n",
+ "pre1 = make_string(5)\n",
+ "suf1 = make_string(5)\n",
+ "\n",
+ "pre2 = make_string(5)\n",
+ "suf2 = make_string(5)\n",
+ "\n",
+ "pre = interleave(pre1, pre2)\n",
+ "suf = interleave(suf1, suf2)\n",
+ "\n",
+ "distractor = pre + middle + suf\n",
+ "\n",
+ "sub1 = pre1 + common + suf1\n",
+ "sub2 = pre2 + common + suf2\n",
+ "\n",
+ "valid = interleave(sub1, sub2)\n",
+ "\n",
+ "len(distractor), len(valid), len(sub1), len(sub2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 66,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(True, True)"
+ ]
+ },
+ "execution_count": 66,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "is_subseq_greedy(sub1, distractor), is_subseq_greedy(sub2, distractor)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 67,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(True, True)"
+ ]
+ },
+ "execution_count": 67,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "is_subseq_greedy(sub1, valid), is_subseq_greedy(sub2, valid)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 68,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(False, True)"
+ ]
+ },
+ "execution_count": 68,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "is_interleave(sub1, sub2, distractor), is_interleave(sub1, sub2, valid)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('hbgbfhdaghfbcagbhhgh',\n",
+ " 'eccfdhdaghfbcaggbaae',\n",
+ " 'ehccbfgbdfhfefdbagefagehfgbcaggbbhahgaeh',\n",
+ " 'hecbgbfhdagchffbdhcagdbhaghhfgbchaggbaae')"
+ ]
+ },
+ "execution_count": 69,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "sub1, sub2, distractor, valid"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 70,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "False"
+ ]
+ },
+ "execution_count": 70,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "a, b = subseq_partition(sub1, distractor)\n",
+ "b == sub2"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 71,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "('eccfdhdaghfbc', 'eccfdhdaghfbcaggbaae')"
+ ]
+ },
+ "execution_count": 71,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "a, b = subseq_partition(sub1, valid)\n",
+ "b, sub2"
+ ]
+ },
{
"cell_type": "code",
"execution_count": null,