Class Solution
java.lang.Object
g1501_1600.s1589_maximum_sum_obtained_of_any_permutation.Solution
1589 - Maximum Sum Obtained of Any Permutation\.
Medium
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
.
**Example 1:**
**Input:** nums = [1,2,3,4,5], requests = \[\[1,3],[0,1]]
**Output:** 19
**Explanation:** One permutation of nums is [2,1,3,4,5] with the following result:
requests[0] -> nums[1] + nums[2] + nums[3] = 1 + 3 + 4 = 8
requests[1] -> nums[0] + nums[1] = 2 + 1 = 3
Total sum: 8 + 3 = 11.
A permutation with a higher total sum is [3,5,4,2,1] with the following result:
requests[0] -> nums[1] + nums[2] + nums[3] = 5 + 4 + 2 = 11
requests[1] -> nums[0] + nums[1] = 3 + 5 = 8
Total sum: 11 + 8 = 19, which is the best that you can do.
**Example 2:**
**Input:** nums = [1,2,3,4,5,6], requests = \[\[0,1]]
**Output:** 11
**Explanation:** A permutation with the max total sum is [6,5,4,3,2,1] with request sums [11].
**Example 3:**
**Input:** nums = [1,2,3,4,5,10], requests = \[\[0,2],[1,3],[1,1]]
**Output:** 47
**Explanation:** A permutation with the max total sum is [4,10,5,3,2,1] with request sums [19,18,10].
**Constraints:**
* `n == nums.length`
* 1 <= n <= 105
* 0 <= nums[i] <= 105
* 1 <= requests.length <= 105
* `requests[i].length == 2`
* 0 <= starti <= endi < n
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Constructor Summary
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Constructor Details
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Solution
public Solution()
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Method Details
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maxSumRangeQuery
public int maxSumRangeQuery(int[] nums, int[][] requests)
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