{"trustable":true,"prependHtml":"\u003cstyle type\u003d\u0027text/css\u0027\u003e\n .input, .output {\n border: 1px solid #888888;\n }\n .output {\n margin-bottom: 1em;\n position: relative;\n top: -1px;\n }\n .output pre, .input pre {\n background-color: #EFEFEF;\n line-height: 1.25em;\n margin: 0;\n padding: 0.25em;\n }\n \u003c/style\u003e\n \u003clink rel\u003d\"stylesheet\" href\u003d\"//codeforces.org/s/96598/css/problem-statement.css\" type\u003d\"text/css\" /\u003e\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript type\u003d\"text/javascript\" async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS_HTML-full\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"HTML","content":"\u003cp\u003eOne day Om Nom found a thread with \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e beads of different colors. He decided to cut the first several beads from this thread to make a bead necklace and present it to his girlfriend Om Nelly.\u003c/p\u003e\u003ccenter\u003e \u003cimg class\u003d\"tex-graphics\" src\u003d\"CDN_BASE_URL/f2f264ce8df9d8f84b8dd89d2215aefc?v\u003d1715648592\" style\u003d\"max-width: 100.0%;max-height: 100.0%;\"\u003e \u003c/center\u003e\u003cp\u003eOm Nom knows that his girlfriend loves beautiful patterns. That\u0027s why he wants the beads on the necklace to form a \u003cspan class\u003d\"tex-font-style-it\"\u003eregular\u003c/span\u003e pattern. A sequence of beads \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eS\u003c/i\u003e\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-it\"\u003eregular\u003c/span\u003e if it can be represented as \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eS\u003c/i\u003e \u003d \u003ci\u003eA\u003c/i\u003e + \u003ci\u003eB\u003c/i\u003e + \u003ci\u003eA\u003c/i\u003e + \u003ci\u003eB\u003c/i\u003e + \u003ci\u003eA\u003c/i\u003e + ... + \u003ci\u003eA\u003c/i\u003e + \u003ci\u003eB\u003c/i\u003e + \u003ci\u003eA\u003c/i\u003e\u003c/span\u003e, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eB\u003c/i\u003e\u003c/span\u003e are some bead sequences, \"\u003cspan class\u003d\"tex-span\"\u003e + \u003c/span\u003e\" is the concatenation of sequences, there are exactly \u003cspan class\u003d\"tex-span\"\u003e2\u003ci\u003ek\u003c/i\u003e + 1\u003c/span\u003e summands in this sum, among which there are \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e + 1\u003c/span\u003e \"\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e\" summands and \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e \"\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eB\u003c/i\u003e\u003c/span\u003e\" summands that follow in alternating order. Om Nelly knows that her friend is an eager mathematician, so she doesn\u0027t mind if \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e\u003c/span\u003e or \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eB\u003c/i\u003e\u003c/span\u003e is an empty sequence.\u003c/p\u003e\u003cp\u003eHelp Om Nom determine in which ways he can cut off the first several beads from the found thread (at least one; probably, all) so that they form a \u003cspan class\u003d\"tex-font-style-it\"\u003eregular pattern\u003c/span\u003e. When Om Nom cuts off the beads, he doesn\u0027t change their order.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains two integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003en\u003c/i\u003e, \u003ci\u003ek\u003c/i\u003e ≤ 1 000 000\u003c/span\u003e) — the number of beads on the thread that Om Nom found and number \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e from the definition of the regular sequence above.\u003c/p\u003e\u003cp\u003eThe second line contains the sequence of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e lowercase Latin letters that represent the colors of the beads. Each color corresponds to a single letter.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint a string consisting of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e zeroes and ones. Position \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003ei\u003c/i\u003e ≤ \u003ci\u003en\u003c/i\u003e\u003c/span\u003e) must contain either number one if the first \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ei\u003c/i\u003e\u003c/span\u003e beads on the thread form a regular sequence, or a zero otherwise.\u003c/p\u003e"}},{"title":"Examples","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e7 2\nbcabcab\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0000011\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"","value":{"format":"HTML","content":"\u003ctable class\u003d\u0027vjudge_sample\u0027\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e21 2\nababaababaababaababaa\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e000110000111111000011\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n"}},{"title":"Note","value":{"format":"HTML","content":"\u003cp\u003eIn the first sample test a regular sequence is both a sequence of the first 6 beads (we can take \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e \u003d \u003c/span\u003e\"\", \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eB\u003c/i\u003e \u003d \u003c/span\u003e\"\u003cspan class\u003d\"tex-font-style-tt\"\u003ebca\u003c/span\u003e\"), and a sequence of the first 7 beads (we can take \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e \u003d \u003c/span\u003e\"\u003cspan class\u003d\"tex-font-style-tt\"\u003eb\u003c/span\u003e\", \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eB\u003c/i\u003e \u003d \u003c/span\u003e\"\u003cspan class\u003d\"tex-font-style-tt\"\u003eca\u003c/span\u003e\").\u003c/p\u003e\u003cp\u003eIn the second sample test, for example, a sequence of the first 13 beads is regular, if we take \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eA\u003c/i\u003e \u003d \u003c/span\u003e\"\u003cspan class\u003d\"tex-font-style-tt\"\u003eaba\u003c/span\u003e\", \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eB\u003c/i\u003e \u003d \u003c/span\u003e\"\u003cspan class\u003d\"tex-font-style-tt\"\u003eba\u003c/span\u003e\".\u003c/p\u003e"}}]}