We have an array of integers, nums, and an array of requests where requests[i] = [starti, endi]. The ith request asks for the sum of nums[starti] + nums[starti + 1] + ... + nums[endi - 1] + nums[endi]. Both starti and endi are 0-indexed.
Return the maximum total sum of all requests among all permutations of nums.
Since the answer may be too large, return it modulo 109 + 7.
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Example 1:
\n\n\nInput: nums = [1,2,3,4,5], requests = [[1,3],[0,1]]\nOutput: 19\nExplanation: One permutation of nums is [2,1,3,4,5] with the following result: \nrequests[0] -> nums[1] + nums[2] + nums[3] = 1 + 3 + 4 = 8\nrequests[1] -> nums[0] + nums[1] = 2 + 1 = 3\nTotal sum: 8 + 3 = 11.\nA permutation with a higher total sum is [3,5,4,2,1] with the following result:\nrequests[0] -> nums[1] + nums[2] + nums[3] = 5 + 4 + 2 = 11\nrequests[1] -> nums[0] + nums[1] = 3 + 5 = 8\nTotal sum: 11 + 8 = 19, which is the best that you can do.\n\n\n
Example 2:
\n\n\nInput: nums = [1,2,3,4,5,6], requests = [[0,1]]\nOutput: 11\nExplanation: A permutation with the max total sum is [6,5,4,3,2,1] with request sums [11].\n\n
Example 3:
\n\n\nInput: nums = [1,2,3,4,5,10], requests = [[0,2],[1,3],[1,1]]\nOutput: 47\nExplanation: A permutation with the max total sum is [4,10,5,3,2,1] with request sums [19,18,10].\n\n
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Constraints:
\n\nn == nums.length1 <= n <= 1050 <= nums[i] <= 1051 <= requests.length <= 105requests[i].length == 20 <= starti <= endi < nCompiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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