{"trustable":true,"prependHtml":"\u003cstyle type\u003d\"text/css\"\u003e\n div.illustration {\n float: right;\n padding-left: 20px;\n }\n div.illustration .illustration {\n width: 100%;\n border-radius: 4px;\n }\n pre {\n display: block;\n margin: 0 0 10px;\n font-size: 13px;\n line-height: 1.42857143;\n color: #333;\n word-break: break-all;\n word-wrap: break-word;\n }\n\u003c/style\u003e\n\u003cscript\u003e\n window.katexOptions \u003d {\n delimiters: [\n {left: \u0027\\\\[\u0027, right: \u0027\\\\]\u0027, display: true}\n ]\n };\n\u003c/script\u003e\n","sections":[{"title":"","value":{"format":"HTML","content":"\n \u003cp\u003eWe are given a sequence of \u003cspan class\u003d\"tex2jax_process\"\u003e$n$\u003c/span\u003e decimal digits. The sequence needs\n to be partitioned into one or more contiguous subsequences such\n that each subsequence, when interpreted as a decimal number, is\n divisible by a given integer \u003cspan class\u003d\"tex2jax_process\"\u003e$m$\u003c/span\u003e.\u003c/p\u003e\n\n \u003cp\u003eFind the number of different such partitions modulo\n \u003cspan class\u003d\"tex2jax_process\"\u003e$10^9 + 7$\u003c/span\u003e. When\n determining if two partitions are different, we only consider\n the locations of subsequence boundaries rather than the digits\n themselves, e.g. partitions \u003cspan class\u003d\"tex2jax_process\"\u003e$2|22$\u003c/span\u003e and \u003cspan class\u003d\"tex2jax_process\"\u003e$22|2$\u003c/span\u003e are considered different.\u003c/p\u003e\n\n \u003ch2\u003eInput\u003c/h2\u003e\n\n \u003cp\u003eThe first line contains two integers \u003cspan class\u003d\"tex2jax_process\"\u003e$n$\u003c/span\u003e and \u003cspan class\u003d\"tex2jax_process\"\u003e$m$\u003c/span\u003e \u003cspan class\u003d\"tex2jax_process\"\u003e$(1\n \\le n \\le 300\\, 000, 1 \\le m \\le 1\\, 000\\, 000)$\u003c/span\u003e - the\n length of the sequence and the divisor respectively. The second\n line contains a string consisting of exactly \u003cspan class\u003d\"tex2jax_process\"\u003e$n$\u003c/span\u003e digits.\u003c/p\u003e\n\n \u003ch2\u003eOutput\u003c/h2\u003e\n\n \u003cp\u003eOutput a single integer – the number of different partitions\n modulo \u003cspan class\u003d\"tex2jax_process\"\u003e$10^9 + 7$\u003c/span\u003e.\u003c/p\u003e\n\n \u003ch2\u003eSample 1\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e4 2\n1246\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\u003c/body\u003e\n\n \u003ch2\u003eSample 2\u003c/h2\u003e\u003cbody\u003e\u003ctable class\u003d\"vjudge_sample\"\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\u003e4 7\n2015\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e0\n\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/body\u003e\n "}}]}