{"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\u003ePalindromic characteristics of string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e with length \u003cspan class\u003d\"tex-span\"\u003e|\u003ci\u003es\u003c/i\u003e|\u003c/span\u003e is a sequence of \u003cspan class\u003d\"tex-span\"\u003e|\u003ci\u003es\u003c/i\u003e|\u003c/span\u003e integers, where \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e-th number is the total number of non-empty substrings of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e which are \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e-palindromes.\u003c/p\u003e\u003cp\u003eA string is \u003cspan class\u003d\"tex-span\"\u003e1\u003c/span\u003e-palindrome if and only if it reads the same backward as forward.\u003c/p\u003e\u003cp\u003eA string is \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e\u003c/span\u003e-palindrome (\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e \u0026gt; 1\u003c/span\u003e) if and only if: \u003c/p\u003e\u003col\u003e \u003cli\u003e Its left half equals to its right half. \u003c/li\u003e\u003cli\u003e Its left and right halfs are non-empty (\u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ek\u003c/i\u003e - 1\u003c/span\u003e)-palindromes. \u003c/li\u003e\u003c/ol\u003e\u003cp\u003eThe left half of string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003et\u003c/i\u003e\u003c/span\u003e is its prefix of length \u003cspan class\u003d\"tex-span\"\u003e⌊|\u003ci\u003et\u003c/i\u003e| / 2⌋\u003c/span\u003e, and right half\u0026nbsp;— the suffix of the same length. \u003cspan class\u003d\"tex-span\"\u003e⌊|\u003ci\u003et\u003c/i\u003e| / 2⌋\u003c/span\u003e denotes the length of string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003et\u003c/i\u003e\u003c/span\u003e divided by \u003cspan class\u003d\"tex-span\"\u003e2\u003c/span\u003e, rounded down.\u003c/p\u003e\u003cp\u003eNote that each substring is counted as many times as it appears in the string. For example, in the string \"aaa\" the substring \"a\" appears 3 times.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains the string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ |\u003ci\u003es\u003c/i\u003e| ≤ 5000\u003c/span\u003e) consisting of lowercase English letters.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint \u003cspan class\u003d\"tex-span\"\u003e|\u003ci\u003es\u003c/i\u003e|\u003c/span\u003e integers\u0026nbsp;— palindromic characteristics of string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e.\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\u003eabba\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e6 1 0 0 \n\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\u003eabacaba\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e12 4 1 0 0 0 0 \n\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 example 1-palindromes are substring «a», «b», «b», «a», «bb», «abba», the substring «bb» is 2-palindrome. There are no 3- and 4-palindromes here.\u003c/p\u003e"}}]}