leetcode-problemset/leetcode-cn/originData/find-the-divisibility-array-of-a-string.json

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        "question": {
            "questionId": "2713",
            "questionFrontendId": "2575",
            "categoryTitle": "Algorithms",
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            "title": "Find the Divisibility Array of a String",
            "titleSlug": "find-the-divisibility-array-of-a-string",
            "content": "<p>You are given a <strong>0-indexed</strong> string <code>word</code> of length <code>n</code>&nbsp;consisting of digits, and a positive integer&nbsp;<code>m</code>.</p>\n\n<p>The <strong>divisibility array</strong> <code>div</code> of <code>word</code> is an integer array of length <code>n</code> such that:</p>\n\n<ul>\n\t<li><code>div[i] = 1</code> if the&nbsp;<strong>numeric value</strong>&nbsp;of&nbsp;<code>word[0,...,i]</code> is divisible by <code>m</code>, or</li>\n\t<li><code>div[i] = 0</code> otherwise.</li>\n</ul>\n\n<p>Return<em> the divisibility array of</em><em> </em><code>word</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> word = &quot;998244353&quot;, m = 3\n<strong>Output:</strong> [1,1,0,0,0,1,1,0,0]\n<strong>Explanation:</strong> There are only 4 prefixes that are divisible by 3: &quot;9&quot;, &quot;99&quot;, &quot;998244&quot;, and &quot;9982443&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> word = &quot;1010&quot;, m = 10\n<strong>Output:</strong> [0,1,0,1]\n<strong>Explanation:</strong> There are only 2 prefixes that are divisible by 10: &quot;10&quot;, and &quot;1010&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code><font face=\"monospace\">word.length == n</font></code></li>\n\t<li><code><font face=\"monospace\">word</font></code><font face=\"monospace\"> consists of digits from <code>0</code>&nbsp;to <code>9</code></font></li>\n\t<li><code><font face=\"monospace\">1 &lt;= m &lt;= 10<sup>9</sup></font></code></li>\n</ul>\n",
            "translatedTitle": "找出字符串的可整除数组",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的字符串 <code>word</code> ，长度为 <code>n</code> ，由从 <code>0</code> 到 <code>9</code> 的数字组成。另给你一个正整数 <code>m</code> 。</p>\n\n<p><code>word</code> 的 <strong>可整除数组</strong> <code>div</code>&nbsp; 是一个长度为 <code>n</code> 的整数数组，并满足：</p>\n\n<ul>\n\t<li>如果 <code>word[0,...,i]</code> 所表示的 <strong>数值</strong> 能被 <code>m</code> 整除，<code>div[i] = 1</code></li>\n\t<li>否则，<code>div[i] = 0</code></li>\n</ul>\n\n<p>返回<em> </em><code>word</code> 的可整除数组。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>word = \"998244353\", m = 3\n<strong>输出：</strong>[1,1,0,0,0,1,1,0,0]\n<strong>解释：</strong>仅有 4 个前缀可以被 3 整除：\"9\"、\"99\"、\"998244\" 和 \"9982443\" 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>word = \"1010\", m = 10\n<strong>输出：</strong>[0,1,0,1]\n<strong>解释：</strong>仅有 2 个前缀可以被 10 整除：\"10\" 和 \"1010\" 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>word.length == n</code></li>\n\t<li><code>word</code> 由数字 <code>0</code> 到 <code>9</code> 组成</li>\n\t<li><code>1 &lt;= m &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                    "lang": "C++",
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                    "code": "class Solution {\npublic:\n    vector<int> divisibilityArray(string word, int m) {\n        \n    }\n};",
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                    "code": "class Solution {\n    public int[] divisibilityArray(String word, int m) {\n\n    }\n}",
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                    "code": "class Solution(object):\n    def divisibilityArray(self, word, m):\n        \"\"\"\n        :type word: str\n        :type m: int\n        :rtype: List[int]\n        \"\"\"",
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                    "code": "/**\n * Note: The returned array must be malloced, assume caller calls free().\n */\nint* divisibilityArray(char * word, int m, int* returnSize){\n\n}",
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                    "code": "public class Solution {\n    public int[] DivisibilityArray(string word, int m) {\n\n    }\n}",
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                    "code": "/**\n * @param {string} word\n * @param {number} m\n * @return {number[]}\n */\nvar divisibilityArray = function(word, m) {\n\n};",
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                    "code": "class Solution {\n\n    /**\n     * @param String $word\n     * @param Integer $m\n     * @return Integer[]\n     */\n    function divisibilityArray($word, $m) {\n\n    }\n}",
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                    "code": "class Solution {\n    func divisibilityArray(_ word: String, _ m: Int) -> [Int] {\n\n    }\n}",
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                    "code": "func divisibilityArray(word string, m int) []int {\n\n}",
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                    "code": "# @param {String} word\n# @param {Integer} m\n# @return {Integer[]}\ndef divisibility_array(word, m)\n\nend",
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                    "code": "impl Solution {\n    pub fn divisibility_array(word: String, m: i32) -> Vec<i32> {\n\n    }\n}",
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                    "code": "defmodule Solution do\n  @spec divisibility_array(word :: String.t, m :: integer) :: [integer]\n  def divisibility_array(word, m) do\n\n  end\nend",
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            "hints": [
                "We can check if the numeric value of the prefix of the given string is divisible by m by computing the remainder of the numeric value of the prefix when divided by m.",
                "The remainder of the numeric value of a prefix ending at index i can be computed from the remainder of the prefix ending at index i-1."
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