You are given a 0-indexed integer array nums of length n.
You can perform the following operation as many times as you want:
\n\ni 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.
\n\n\n
Example 1:
\n\n\nInput: nums = [4,9,6,10]\nOutput: true\nExplanation: In the first operation: Pick i = 0 and p = 3, and then subtract 3 from nums[0], so that nums becomes [1,9,6,10].\nIn the second operation: i = 1, p = 7, subtract 7 from nums[1], so nums becomes equal to [1,2,6,10].\nAfter the second operation, nums is sorted in strictly increasing order, so the answer is true.\n\n
Example 2:
\n\n\nInput: nums = [6,8,11,12]\nOutput: true\nExplanation: Initially nums is sorted in strictly increasing order, so we don't need to make any operations.\n\n
Example 3:
\n\n\nInput: nums = [5,8,3]\nOutput: false\nExplanation: It can be proven that there is no way to perform operations to make nums sorted in strictly increasing order, so the answer is false.\n\n
\n
Constraints:
\n\n1 <= nums.length <= 10001 <= nums[i] <= 1000nums.length == nCompiled with clang 11 using the latest C++ 20 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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