mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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181 lines
20 KiB
JSON
181 lines
20 KiB
JSON
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"questionId": "3243",
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"title": "Count the Number of Powerful Integers",
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"content": "<p>You are given three integers <code>start</code>, <code>finish</code>, and <code>limit</code>. You are also given a <strong>0-indexed</strong> string <code>s</code> representing a <strong>positive</strong> integer.</p>\n\n<p>A <strong>positive</strong> integer <code>x</code> is called <strong>powerful</strong> if it ends with <code>s</code> (in other words, <code>s</code> is a <strong>suffix</strong> of <code>x</code>) and each digit in <code>x</code> is at most <code>limit</code>.</p>\n\n<p>Return <em>the <strong>total</strong> number of powerful integers in the range</em> <code>[start..finish]</code>.</p>\n\n<p>A string <code>x</code> is a suffix of a string <code>y</code> if and only if <code>x</code> is a substring of <code>y</code> that starts from some index (<strong>including </strong><code>0</code>) in <code>y</code> and extends to the index <code>y.length - 1</code>. For example, <code>25</code> is a suffix of <code>5125</code> whereas <code>512</code> is not.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = 1, finish = 6000, limit = 4, s = "124"\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = 15, finish = 215, limit = 6, s = "10"\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = 1000, finish = 2000, limit = 4, s = "3000"\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> All integers in the range [1000..2000] are smaller than 3000, hence "3000" cannot be a suffix of any integer in this range.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= start <= finish <= 10<sup>15</sup></code></li>\n\t<li><code>1 <= limit <= 9</code></li>\n\t<li><code>1 <= s.length <= floor(log<sub>10</sub>(finish)) + 1</code></li>\n\t<li><code>s</code> only consists of numeric digits which are at most <code>limit</code>.</li>\n\t<li><code>s</code> does not have leading zeros.</li>\n</ul>\n",
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"code": "# @param {Integer} start\n# @param {Integer} finish\n# @param {Integer} limit\n# @param {String} s\n# @return {Integer}\ndef number_of_powerful_int(start, finish, limit, s)\n \nend",
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"code": "impl Solution {\n pub fn number_of_powerful_int(start: i64, finish: i64, limit: i32, s: String) -> i64 {\n \n }\n}",
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"We can use digit DP to count powerful integers in the range <code>[1, x]</code>.",
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"Let <code>dp[i][j]</code> be the number of integers that have <code>i</code> digits (with allowed leading 0s) and <code>j</code> refers to the comparison between the current number and the prefix of <code>x</code>, <code>j == 0</code> if the i-digit number formed currently is identical to the leftmost <code>i</code> digits of <code>x</code>, else if <code>j ==1</code> it means the i-digit number is smaller than the leftmost <code>i</code> digits of <code>x</code>.",
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"The answer is <code>count[finish] - count[start - 1]</code>, where <code>count[i]</code> refers to the number of powerful integers in the range <code>[1..i]</code>."
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