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Sum of Subarray Minimums

arraydynamic programmingstack

Problem Statement

Given an array of integers arr, find the sum of min(b) , where b ranges over every (contiguous) subarray of arr . Since the answer may be large, return the answer modulo 10 ^9 + 7 .

Examples

Example 1
Input: arr = [3,1,2,4]
Output: 17
Subarrays are [3], [1], [2], [4], [3,1], [1,2], [2,4], [3,1,2], [1,2,4], [3,1,2,4]. Minimums are 3, 1, 2, 4, 1, 1, 2, 1, 1, 1. Sum is 17.
Example 2
Input: arr = [11,81,94,43,3]
Output: 444

Constraints

1 <= arr.length <= 3 * 10 ^4
1 <= arr[i] <= 3 * 10 ^4
🤔
Medium
Difficulty
Topic Info
ModuleDSA
CategoryArray
Sub-topicDynamic Programming
Tags
arraydynamic programmingstackmonotonic stack
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