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
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