leetcode-problemset/leetcode-cn/originData/sum-of-digit-differences-of-all-pairs.json

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            "questionId": "3416",
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            "categoryTitle": "Algorithms",
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            "title": "Sum of Digit Differences of All Pairs",
            "titleSlug": "sum-of-digit-differences-of-all-pairs",
            "content": "<p>You are given an array <code>nums</code> consisting of <strong>positive</strong> integers where all integers have the <strong>same</strong> number of digits.</p>\n\n<p>The <strong>digit difference</strong> between two integers is the <em>count</em> of different digits that are in the <strong>same</strong> position in the two integers.</p>\n\n<p>Return the <strong>sum</strong> of the <strong>digit differences</strong> between <strong>all</strong> pairs of integers in <code>nums</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [13,23,12]</span></p>\n\n<p><strong>Output:</strong> 4</p>\n\n<p><strong>Explanation:</strong><br />\nWe have the following:<br />\n- The digit difference between <strong>1</strong>3 and <strong>2</strong>3 is 1.<br />\n- The digit difference between 1<strong>3</strong> and 1<strong>2</strong> is 1.<br />\n- The digit difference between <strong>23</strong> and <strong>12</strong> is 2.<br />\nSo the total sum of digit differences between all pairs of integers is <code>1 + 1 + 2 = 4</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [10,10,10,10]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong><br />\nAll the integers in the array are the same. So the total sum of digit differences between all pairs of integers will be 0.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt; 10<sup>9</sup></code></li>\n\t<li>All integers in <code>nums</code> have the same number of digits.</li>\n</ul>\n",
            "translatedTitle": "所有数对中数位不同之和",
            "translatedContent": "<p>车尔尼有一个数组&nbsp;<code>nums</code>&nbsp;，它只包含 <strong>正</strong>&nbsp;整数，所有正整数的数位长度都 <strong>相同</strong>&nbsp;。</p>\n\n<p>两个整数的 <strong>数位不同</strong>&nbsp;指的是两个整数 <b>相同</b>&nbsp;位置上不同数字的数目。</p>\n\n<p>请车尔尼返回 <code>nums</code>&nbsp;中 <strong>所有</strong>&nbsp;整数对里，<strong>数位不同之和。</strong></p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [13,23,12]</span></p>\n\n<p><b>输出：</b>4</p>\n\n<p><strong>解释：</strong><br />\n计算过程如下：<br />\n-&nbsp;<strong>1</strong>3 和&nbsp;<strong>2</strong>3 的数位不同为&nbsp;1 。<br />\n- 1<strong>3</strong> 和 1<strong>2</strong>&nbsp;的数位不同为&nbsp;1 。<br />\n-&nbsp;<strong>23</strong> 和&nbsp;<strong>12</strong>&nbsp;的数位不同为&nbsp;2 。<br />\n所以所有整数数对的数位不同之和为&nbsp;<code>1 + 1 + 2 = 4</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [10,10,10,10]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>0</span></p>\n\n<p><strong>解释：</strong><br />\n数组中所有整数都相同，所以所有整数数对的数位不同之和为 0 。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt; 10<sup>9</sup></code></li>\n\t<li><code>nums</code>&nbsp;中的整数都有相同的数位长度。</li>\n</ul>\n",
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            "hints": [
                "You can solve the problem for digits that are on the same position separately, and then sum up all the answers.",
                "For each position, count the number of occurences of each digit from 0 to 9 that appear on that position.",
                "Let <code>c</code> be the number of occurences of a digit on a position, that will contribute with <code>c * (n - c)</code> to the final answer, where <code>n</code> is the number of integers in <code>nums</code>."
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