How to Solve Prime Subtraction Operation Problem
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Prime Subtraction Operation
You are given a 0-indexed integer array nums of length n. You can perform the following operation as many times as you want: Pick an index i that you haven’t picked before, and pick a prime p strictly...
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Understanding the Prime Subtraction Operation Problem
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Problem Statement
You are given a 0-indexed integer array nums of length n. You can perform the following operation as many times as you want: Pick an index i that you haven’t picked before, and pick a prime p strictly less than nums[i], then subtract p from nums[i]. Return true if you can make nums a strictly increasing array using the above operation and false otherwise. A strictly increasing array is an array whose each element is strictly greater than its preceding element.
Prime Subtraction Operation
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Examples
nums = [4,9,6,10]trueIn the first operation: Pick i = 0 and p = 3, and then subtract 3 from nums[0], so that nums becomes [1,9,6,10]. In the second operation: i = 1, p = 7, subtract 7 from nums[1], so nums becomes equal to [1,2,6,10]. After the second operation, nums is sorted in strictly increasing order, so the answer is true.
nums = [6,8,11,12]trueInitially nums is sorted in strictly increasing order, so we don't need to make any operations.
nums = [5,8,3]falseIt can be proven that there is no way to perform operations to make nums sorted in strictly increasing order, so the answer is false.
Constraints
1 <= nums.length <= 10001 <= nums[i] <= 1000nums.length == nHow Interview Coder Helps with Leetcode Problems
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