Medium
Given an array of n
integers nums
, a 132 pattern is a subsequence of three integers nums[i]
, nums[j]
and nums[k]
such that i < j < k
and nums[i] < nums[k] < nums[j]
.
Return true
if there is a 132 pattern in nums
, otherwise, return false
.
Example 1:
Input: nums = [1,2,3,4]
Output: false
Explanation: There is no 132 pattern in the sequence.
Example 2:
Input: nums = [3,1,4,2]
Output: true
Explanation: There is a 132 pattern in the sequence: [1, 4, 2].
Example 3:
Input: nums = [-1,3,2,0]
Output: true
Explanation: There are three 132 patterns in the sequence: [-1, 3, 2], [-1, 3, 0] and [-1, 2, 0].
Constraints:
n == nums.length
1 <= n <= 2 * 105
-109 <= nums[i] <= 109
import java.util.Deque
import java.util.LinkedList
class Solution {
/*
* It scans only once, this is the power of using correct data structure.
* It goes from the right to the left.
* It keeps pushing elements into the stack,
* but it also keeps poping elements out of the stack as long as the current element is bigger than this number.
*/
fun find132pattern(nums: IntArray): Boolean {
val stack: Deque<Int> = LinkedList()
var s3 = Int.MIN_VALUE
for (i in nums.indices.reversed()) {
if (nums[i] < s3) {
return true
} else {
while (stack.isNotEmpty() && nums[i] > stack.peek()) {
s3 = Math.max(s3, stack.pop())
}
}
stack.push(nums[i])
}
return false
}
}