leetcode-problemset/leetcode-cn/originData/number-of-subsequences-that-satisfy-the-given-sum-condition.json

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            "categoryTitle": "Algorithms",
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            "title": "Number of Subsequences That Satisfy the Given Sum Condition",
            "titleSlug": "number-of-subsequences-that-satisfy-the-given-sum-condition",
            "content": "<p>You are given an array of integers <code>nums</code> and an integer <code>target</code>.</p>\n\n<p>Return <em>the number of <strong>non-empty</strong> subsequences of </em><code>nums</code><em> such that the sum of the minimum and maximum element on it is less or equal to </em><code>target</code>. Since the answer may be too large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,5,6,7], target = 9\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> There are 4 subsequences that satisfy the condition.\n[3] -&gt; Min value + max value &lt;= target (3 + 3 &lt;= 9)\n[3,5] -&gt; (3 + 5 &lt;= 9)\n[3,5,6] -&gt; (3 + 6 &lt;= 9)\n[3,6] -&gt; (3 + 6 &lt;= 9)\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,3,6,8], target = 10\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> There are 6 subsequences that satisfy the condition. (nums can have repeated numbers).\n[3] , [3] , [3,3], [3,6] , [3,6] , [3,3,6]\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,3,3,4,6,7], target = 12\n<strong>Output:</strong> 61\n<strong>Explanation:</strong> There are 63 non-empty subsequences, two of them do not satisfy the condition ([6,7], [7]).\nNumber of valid subsequences (63 - 2 = 61).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>6</sup></code></li>\n\t<li><code>1 &lt;= target &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
            "translatedTitle": "满足条件的子序列数目",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>target</code> 。</p>\n\n<p>请你统计并返回 <code>nums</code> 中能满足其最小元素与最大元素的 <strong>和</strong> 小于或等于 <code>target</code> 的 <strong>非空</strong> 子序列的数目。</p>\n\n<p>由于答案可能很大，请将结果对<meta charset=\"UTF-8\" />&nbsp;<code>10<sup>9</sup>&nbsp;+ 7</code>&nbsp;取余后返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [3,5,6,7], target = 9\n<strong>输出：</strong>4\n<strong>解释：</strong>有 4 个子序列满足该条件。\n[3] -&gt; 最小元素 + 最大元素 &lt;= target (3 + 3 &lt;= 9)\n[3,5] -&gt; (3 + 5 &lt;= 9)\n[3,5,6] -&gt; (3 + 6 &lt;= 9)\n[3,6] -&gt; (3 + 6 &lt;= 9)\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [3,3,6,8], target = 10\n<strong>输出：</strong>6\n<strong>解释：</strong>有 6 个子序列满足该条件。（nums 中可以有重复数字）\n[3] , [3] , [3,3], [3,6] , [3,6] , [3,3,6]</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,3,3,4,6,7], target = 12\n<strong>输出：</strong>61\n<strong>解释：</strong>共有 63 个非空子序列，其中 2 个不满足条件（[6,7], [7]）\n有效序列总数为（63 - 2 = 61）\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>6</sup></code></li>\n\t<li><code>1 &lt;= target &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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                "Sort the array nums.",
                "Use two pointers approach: Given an index i (choose it as the minimum in a subsequence) find the maximum j where j ≥ i and nums[i] +nums[j] ≤ target.",
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