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Split Array into Consecutive Subsequences

You are given an integer array nums that is sorted in non-decreasing order.

You are given an integer array nums that is sorted in non-decreasing order.

Determine if it is possible to split nums into one or more subsequences such that both of the following conditions are true:

Return true if you can split nums according to the above conditions, or false otherwise.

A subsequence of an array is a new array that is formed from the original array by deleting some (can be none) of the elements without disturbing the relative positions of the remaining elements. (i.e., [1,3,5] is a subsequence of [1,2,3,4,5] while [1,3,2] is not).

Split Array into Consecutive Subsequences diagram

Example 1

Input: nums = [1,2,3,3,4,5]

Output: true

Explanation: nums can be split into the following subsequences: [1,2,3,3,4,5] --> 1, 2, 3 [1,2,3,3,4,5] --> 3, 4, 5

Example 2

Input: nums = [1,2,3,3,4,4,5,5]

Output: true

Explanation: nums can be split into the following subsequences: [1,2,3,3,4,4,5,5] --> 1, 2, 3, 4, 5 [1,2,3,3,4,4,5,5] --> 3, 4, 5

Example 3

Input: nums = [1,2,3,4,4,5]

Output: false

Explanation: It is impossible to split nums into consecutive increasing subsequences of length 3 or more.

Constraints

  • 1 <= nums.length <= 10^4
  • -1000 <= nums[i] <= 1000
  • nums is sorted in non-decreasing order.

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