{"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\u003eMr. Kitayuta has kindly given you a string \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e consisting of lowercase English letters. You are asked to insert exactly \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e lowercase English letters into \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e to make it a palindrome. (A \u003cspan class\u003d\"tex-font-style-it\"\u003epalindrome\u003c/span\u003e is a string that reads the same forward and backward. For example, \"\u003cspan class\u003d\"tex-font-style-tt\"\u003enoon\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003etestset\u003c/span\u003e\" and \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ea\u003c/span\u003e\" are all palindromes, while \"\u003cspan class\u003d\"tex-font-style-tt\"\u003etest\u003c/span\u003e\" and \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ekitayuta\u003c/span\u003e\" are not.) You can choose any \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e lowercase English letters, and insert each of them to any position of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e, possibly to the beginning or the end of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e. You have to insert exactly \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e letters even if it is possible to turn \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e into a palindrome by inserting less than \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e letters.\u003c/p\u003e\u003cp\u003eFind the number of the palindromes that can be obtained in this way, modulo \u003cspan class\u003d\"tex-span\"\u003e10007\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains a 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| ≤ 200\u003c/span\u003e). Each character in \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003es\u003c/i\u003e\u003c/span\u003e is a lowercase English letter.\u003c/p\u003e\u003cp\u003eThe second line contains an integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003en\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003en\u003c/i\u003e ≤ 10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e\u003c/span\u003e).\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint the number of the palindromes that can be obtained, modulo \u003cspan class\u003d\"tex-span\"\u003e10007\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\u003erevive\n1\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e1\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\u003eadd\n2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e28\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\u003eFor the first sample, you can obtain the palindrome \"\u003cspan class\u003d\"tex-font-style-tt\"\u003ereviver\u003c/span\u003e\" by inserting \u0027\u003cspan class\u003d\"tex-font-style-tt\"\u003er\u003c/span\u003e\u0027 to the end of \"\u003cspan class\u003d\"tex-font-style-tt\"\u003erevive\u003c/span\u003e\".\u003c/p\u003e\u003cp\u003eFor the second sample, the following 28 palindromes can be obtained: \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eadada\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eadbda\u003c/span\u003e\", ..., \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eadzda\u003c/span\u003e\", \"\u003cspan class\u003d\"tex-font-style-tt\"\u003edadad\u003c/span\u003e\" and \"\u003cspan class\u003d\"tex-font-style-tt\"\u003eddadd\u003c/span\u003e\".\u003c/p\u003e"}}]}