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
return
Given
[1, 2, 3, 4, 5]
,return
true
.
Given
return
[5, 4, 3, 2, 1]
,return
false
.Answer:
Time: O(n), Space: O(1)
public boolean increasingTriplet(int[] nums) {
if(nums==null || nums.length==0)return false;
int max = Integer.MAX_VALUE;
int min = nums[0];
for(int i=1; i<nums.length; ++i){
if(nums[i] < min){
min = nums[i];
}else if(nums[i] > max){
return true;
}else if(nums[i] > min && nums[i] < max){
max = nums[i];
}
}
return false;
}
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