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leetcode-problemset/leetcode/originData/range-sum-of-sorted-subarray-sums.json
2022-05-02 23:44:12 +08:00

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{
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"title": "Range Sum of Sorted Subarray Sums",
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"content": "<p>You are given the array <code>nums</code> consisting of <code>n</code> positive integers. You computed the sum of all non-empty continuous subarrays from the array and then sorted them in non-decreasing order, creating a new array of <code>n * (n + 1) / 2</code> numbers.</p>\n\n<p><em>Return the sum of the numbers from index </em><code>left</code><em> to index </em><code>right</code> (<strong>indexed from 1</strong>)<em>, inclusive, in the new array. </em>Since the answer can be a huge number return it modulo <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4], n = 4, left = 1, right = 5\n<strong>Output:</strong> 13 \n<strong>Explanation:</strong> All subarray sums are 1, 3, 6, 10, 2, 5, 9, 3, 7, 4. After sorting them in non-decreasing order we have the new array [1, 2, 3, 3, 4, 5, 6, 7, 9, 10]. The sum of the numbers from index le = 1 to ri = 5 is 1 + 2 + 3 + 3 + 4 = 13. \n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4], n = 4, left = 3, right = 4\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The given array is the same as example 1. We have the new array [1, 2, 3, 3, 4, 5, 6, 7, 9, 10]. The sum of the numbers from index le = 3 to ri = 4 is 3 + 3 = 6.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4], n = 4, left = 1, right = 10\n<strong>Output:</strong> 50\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>1 &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n\t<li><code>1 &lt;= left &lt;= right &lt;= n * (n + 1) / 2</code></li>\n</ul>\n",
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"code": "class Solution(object):\n def rangeSum(self, nums, n, left, right):\n \"\"\"\n :type nums: List[int]\n :type n: int\n :type left: int\n :type right: int\n :rtype: int\n \"\"\"\n ",
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"hints": [
"Compute all sums and save it in array.",
"Then just go from LEFT to RIGHT index and calculate answer modulo 1e9 + 7."
],
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