{ "data": { "question": { "questionId": "3243", "questionFrontendId": "2999", "categoryTitle": "Algorithms", "boundTopicId": 2591591, "title": "Count the Number of Powerful Integers", "titleSlug": "count-the-number-of-powerful-integers", "content": "

You are given three integers start, finish, and limit. You are also given a 0-indexed string s representing a positive integer.

\n\n

A positive integer x is called powerful if it ends with s (in other words, s is a suffix of x) and each digit in x is at most limit.

\n\n

Return the total number of powerful integers in the range [start..finish].

\n\n

A string x is a suffix of a string y if and only if x is a substring of y that starts from some index (including 0) in y and extends to the index y.length - 1. For example, 25 is a suffix of 5125 whereas 512 is not.

\n\n

 

\n

Example 1:

\n\n
\nInput: start = 1, finish = 6000, limit = 4, s = "124"\nOutput: 5\nExplanation: The powerful integers in the range [1..6000] are 124, 1124, 2124, 3124, and, 4124. All these integers have each digit <= 4, and "124" as a suffix. Note that 5124 is not a powerful integer because the first digit is 5 which is greater than 4.\nIt can be shown that there are only 5 powerful integers in this range.\n
\n\n

Example 2:

\n\n
\nInput: start = 15, finish = 215, limit = 6, s = "10"\nOutput: 2\nExplanation: The powerful integers in the range [15..215] are 110 and 210. All these integers have each digit <= 6, and "10" as a suffix.\nIt can be shown that there are only 2 powerful integers in this range.\n
\n\n

Example 3:

\n\n
\nInput: start = 1000, finish = 2000, limit = 4, s = "3000"\nOutput: 0\nExplanation: All integers in the range [1000..2000] are smaller than 3000, hence "3000" cannot be a suffix of any integer in this range.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "统计强大整数的数目", "translatedContent": "

给你三个整数 start ，finish 和 limit 。同时给你一个下标从 0 开始的字符串 s ，表示一个 正 整数。

\n\n

如果一个 正 整数 x 末尾部分是 s （换句话说，s 是 x 的 后缀），且 x 中的每个数位至多是 limit ，那么我们称 x 是 强大的 。

\n\n

请你返回区间 [start..finish] 内强大整数的 总数目 。

\n\n

如果一个字符串 x 是 y 中某个下标开始（包括 0 ），到下标为 y.length - 1 结束的子字符串，那么我们称 x 是 y 的一个后缀。比方说，25 是 5125 的一个后缀，但不是 512 的后缀。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：start = 1, finish = 6000, limit = 4, s = \"124\"\n输出：5\n解释：区间 [1..6000] 内的强大数字为 124 ，1124 ，2124 ，3124 和 4124 。这些整数的各个数位都 <= 4 且 \"124\" 是它们的后缀。注意 5124 不是强大整数，因为第一个数位 5 大于 4 。\n这个区间内总共只有这 5 个强大整数。\n
\n\n

示例 2：

\n\n
\n输入：start = 15, finish = 215, limit = 6, s = \"10\"\n输出：2\n解释：区间 [15..215] 内的强大整数为 110 和 210 。这些整数的各个数位都 <= 6 且 \"10\" 是它们的后缀。\n这个区间总共只有这 2 个强大整数。\n
\n\n

示例 3：

\n\n
\n输入：start = 1000, finish = 2000, limit = 4, s = \"3000\"\n输出：0\n解释：区间 [1000..2000] 内的整数都小于 3000 ，所以 \"3000\" 不可能是这个区间内任何整数的后缀。\n
\n\n

 

\n\n

提示：

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exact-integer? exact-integer? string? exact-integer?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec number_of_powerful_int(Start :: integer(), Finish :: integer(), Limit :: integer(), S :: unicode:unicode_binary()) -> integer().\nnumber_of_powerful_int(Start, Finish, Limit, S) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec number_of_powerful_int(start :: integer, finish :: integer, limit :: integer, s :: String.t) :: integer\n def number_of_powerful_int(start, finish, limit, s) do\n \n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"1.1K\", \"totalSubmission\": \"3.4K\", \"totalAcceptedRaw\": 1145, \"totalSubmissionRaw\": 3407, \"acRate\": \"33.6%\"}", "hints": [ "We can use digit DP to count powerful integers in the range [1, x].", "Let dp[i][j] be the number of integers that have i digits (with allowed leading 0s) and j refers to the comparison between the current number and the prefix of x, j == 0 if the i-digit number formed currently is identical to the leftmost i digits of x, else if j ==1 it means the i-digit number is smaller than the leftmost i digits of x.", "The answer is count[finish] - count[start - 1], where count[i] refers to the number of powerful integers in the range [1..i]." ], "solution": null, "status": null, "sampleTestCase": "1\n6000\n4\n\"124\"", "metaData": "{\n \"name\": \"numberOfPowerfulInt\",\n \"params\": [\n {\n \"name\": \"start\",\n \"type\": \"long\"\n },\n {\n \"type\": \"long\",\n \"name\": \"finish\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"limit\"\n },\n {\n \"type\": \"string\",\n \"name\": \"s\"\n }\n ],\n \"return\": {\n \"type\": \"long\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "envInfo": "{\"cpp\":[\"C++\",\"

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