How to Solve Minimum Number of Increments on Subarrays to Form a Target Array Problem
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Minimum Number of Increments on Subarrays to Form a Target Array
You are given an integer array target. You have an integer array initial of the same size as target with all elements initially zeros. In one operation you can choose any subarray from initial and inc...
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Understanding the Minimum Number of Increments on Subarrays to Form a Target Array Problem
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Problem Statement
You are given an integer array target. You have an integer array initial of the same size as target with all elements initially zeros. In one operation you can choose any subarray from initial and increment each value by one. Return the minimum number of operations to form a target array from initial. The test cases are generated so that the answer fits in a 32-bit integer.
Minimum Number of Increments on Subarrays to Form a Target Array
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Examples
target = [1,2,3,2,1]
3
We need at least 3 operations to form the target array from the initial array. [0,0,0,0,0] increment 1 from index 0 to 4 (inclusive). [1,1,1,1,1] increment 1 from index 1 to 3 (inclusive). [1,2,2,2,1] increment 1 at index 2. [1,2,3,2,1] target array is formed.
target = [3,1,1,2]
4
[0,0,0,0] -> [1,1,1,1] -> [1,1,1,2] -> [2,1,1,2] -> [3,1,1,2]
target = [3,1,5,4,2]
7
[0,0,0,0,0] -> [1,1,1,1,1] -> [2,1,1,1,1] -> [3,1,1,1,1] -> [3,1,2,2,2] -> [3,1,3,3,2] -> [3,1,4,4,2] -> [3,1,5,4,2].
Constraints
1 <= target.length <= 105
1 <= target[i] <= 105
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