{"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\u003eConsider the decimal presentation of an integer. Let\u0027s call a number \u003cspan class\u003d\"tex-font-style-tt\"\u003ed-magic\u003c/span\u003e if digit \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ed\u003c/i\u003e\u003c/span\u003e appears in decimal presentation of the number on even positions and nowhere else.\u003c/p\u003e\u003cp\u003eFor example, the numbers \u003cspan class\u003d\"tex-span\"\u003e1727374\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e17\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e1\u003c/span\u003e are \u003cspan class\u003d\"tex-font-style-tt\"\u003e7-magic\u003c/span\u003e but \u003cspan class\u003d\"tex-span\"\u003e77\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e7\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e123\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e34\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e71\u003c/span\u003e are not \u003cspan class\u003d\"tex-font-style-tt\"\u003e7-magic\u003c/span\u003e. On the other hand the number \u003cspan class\u003d\"tex-span\"\u003e7\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-tt\"\u003e0-magic\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e123\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-tt\"\u003e2-magic\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e34\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-tt\"\u003e4-magic\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e71\u003c/span\u003e is \u003cspan class\u003d\"tex-font-style-tt\"\u003e1-magic\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eFind the number of \u003cspan class\u003d\"tex-font-style-tt\"\u003ed-magic\u003c/span\u003e numbers in the segment \u003cspan class\u003d\"tex-span\"\u003e[\u003ci\u003ea\u003c/i\u003e, \u003ci\u003eb\u003c/i\u003e]\u003c/span\u003e that are multiple of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003em\u003c/i\u003e\u003c/span\u003e. Because the answer can be very huge you should only find its value modulo \u003cspan class\u003d\"tex-span\"\u003e10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e + 7\u003c/span\u003e (so you should find the remainder after dividing by \u003cspan class\u003d\"tex-span\"\u003e10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e + 7\u003c/span\u003e).\u003c/p\u003e"}},{"title":"Input","value":{"format":"HTML","content":"\u003cp\u003eThe first line contains two integers \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003em\u003c/i\u003e, \u003ci\u003ed\u003c/i\u003e\u003c/span\u003e (\u003cspan class\u003d\"tex-span\"\u003e1 ≤ \u003ci\u003em\u003c/i\u003e ≤ 2000\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e0 ≤ \u003ci\u003ed\u003c/i\u003e ≤ 9\u003c/span\u003e) — the parameters from the problem statement.\u003c/p\u003e\u003cp\u003eThe second line contains positive integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e in decimal presentation (without leading zeroes).\u003c/p\u003e\u003cp\u003eThe third line contains positive integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003eb\u003c/i\u003e\u003c/span\u003e in decimal presentation (without leading zeroes).\u003c/p\u003e\u003cp\u003eIt is guaranteed that \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e ≤ \u003ci\u003eb\u003c/i\u003e\u003c/span\u003e, the number of digits in \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 the same and don\u0027t exceed \u003cspan class\u003d\"tex-span\"\u003e2000\u003c/span\u003e.\u003c/p\u003e"}},{"title":"Output","value":{"format":"HTML","content":"\u003cp\u003ePrint the only integer \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003ea\u003c/i\u003e\u003c/span\u003e — the remainder after dividing by \u003cspan class\u003d\"tex-span\"\u003e10\u003csup class\u003d\"upper-index\"\u003e9\u003c/sup\u003e + 7\u003c/span\u003e of the number of \u003cspan class\u003d\"tex-font-style-tt\"\u003ed-magic\u003c/span\u003e numbers in segment \u003cspan class\u003d\"tex-span\"\u003e[\u003ci\u003ea\u003c/i\u003e, \u003ci\u003eb\u003c/i\u003e]\u003c/span\u003e that are multiple of \u003cspan class\u003d\"tex-span\"\u003e\u003ci\u003em\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\u003e2 6\n10\n99\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e8\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\u003e2 0\n1\n9\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e4\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\u003e19 7\n1000\n9999\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e6\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\u003eThe numbers from the answer of the first example are \u003cspan class\u003d\"tex-span\"\u003e16\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e26\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e36\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e46\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e56\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e76\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e86\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e96\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eThe numbers from the answer of the second example are \u003cspan class\u003d\"tex-span\"\u003e2\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e4\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e6\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e8\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eThe numbers from the answer of the third example are \u003cspan class\u003d\"tex-span\"\u003e1767\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e2717\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e5757\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e6707\u003c/span\u003e, \u003cspan class\u003d\"tex-span\"\u003e8797\u003c/span\u003e and \u003cspan class\u003d\"tex-span\"\u003e9747\u003c/span\u003e.\u003c/p\u003e"}}]}