Question Definition
Given an unsorted array return whether an increasing subsequence of length 3 exists or not in the array.
Formally the function should: Return true if there exists i, j, k such that arr[i] < arr[j] < arr[k] given 0 ≤ i < j < k ≤ n-1 else return false. Your algorithm should run in O(n) time complexity and O(1) space complexity.
Examples:
Given [1, 2, 3, 4, 5]
,
return true.
Given [5, 4, 3, 2, 1]
,
return false.
Java Solution
public boolean increasingTriplet(int[] nums) {
if(nums.length < 3) return false;
int min = Integer.MAX_VALUE;
int mid = Integer.MAX_VALUE;
for(int num : nums){
if(num < min){
min = num;
}else if(num > min && num < mid) {
mid = num;
} else if(num > mid)
return true;
}
return false;
}
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