GuilinDev

Lc0456

05 August 2008

456 132 Pattern

a subsequence of three integers nums[i], nums[j] and nums[k] such that i < j < k and nums[i] < nums[k] < nums[j],返回true如果有这么个subsequence

O(n^2)

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public boolean find132pattern(int[] nums) {
    if(nums == null || nums.length < 3) {
        return false;
    }
    
    for(int i = 0; i < nums.length - 2; i++) {
        int bigger = nums[i];    
        for(int j = i + 1; j < nums.length; j++) {
            // 1. We don't care about numbers
            // less than a[i]
            if(nums[j] <= nums[i]) continue;
            
            // 2. If num is greater than bigger
            // then update bigger
            if(nums[j] >= bigger) {
                bigger = nums[j];
            } else {
                // Now this number is greater than nums[i]
                // see 1. and less than bigger, see 2.
                return true;
            }  
        }
    }
    return false;
}

stack - O(n)

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class Solution {
    public boolean find132pattern (int[] nums) {
        Stack <Integer> stack = new Stack ();
        int second = Integer.MIN_VALUE;
        for (int i = nums.length - 1; i >= 0; i--) {
            if (nums [i] < second)
                return true;
            while (!stack.isEmpty() && nums [i] > stack.peek ())
                second = stack.pop ();
            stack.push (nums [i]);
        }
        return false;
    }
}