DEV Community

SalahElhossiny
SalahElhossiny

Posted on

Split Array into Consecutive Subsequences

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:

Each subsequence is a consecutive increasing sequence (i.e. each integer is exactly one more than the previous integer).
All subsequences have a length of 3 or more.
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).

class Solution:
    def isPossible(self, nums: List[int]) -> bool:

        if len(nums) < 3: return False

        frequency = collections.Counter(nums)
        subsequence = collections.defaultdict(int)

        for i in nums:

            if frequency[i] == 0:
                continue

            frequency[i] -= 1

            # option 1 - add to an existing subsequence
            if subsequence[i-1] > 0:
                subsequence[i-1] -= 1
                subsequence[i] += 1

            # option 2 - create a new subsequence 
            elif frequency[i+1] and frequency[i+2]:
                frequency[i+1] -= 1
                frequency[i+2] -= 1
                subsequence[i+2] += 1

            else:
                return False

        return True

Enter fullscreen mode Exit fullscreen mode

Top comments (0)