package LeetCode_1673
import java.util.*
/**
* 1673. Find the Most Competitive Subsequence
* https://leetcode.com/problems/find-the-most-competitive-subsequence/
* Given an integer array nums and a positive integer k, return the most competitive subsequence of nums of size k.
An array's subsequence is a resulting sequence obtained by erasing some (possibly zero) elements from the array.
We define that a subsequence a is more competitive than a subsequence b (of the same length) if in the first position where a and b differ,
subsequence a has a number less than the corresponding number in b. For example, [1,3,4] is more competitive than [1,3,5] because the first position they differ is at the final number, and 4 is less than 5.
Example 1:
Input: nums = [3,5,2,6], k = 2
Output: [2,6]
Explanation: Among the set of every possible subsequence: {[3,5], [3,2], [3,6], [5,2], [5,6], [2,6]}, [2,6] is the most competitive.
* */
class Solution {
/*
* solution: Stack,scan each number, check current num if large than then the first one in stack,
* pop the large one, keep the increasing stack;
* Time:O(n), Space:O(n)
* */
fun mostCompetitive(nums: IntArray, k: Int): IntArray {
var needRemoveCount = nums.size - k
val stack = Stack<Int>()
for (i in nums.indices) {
while (stack.isNotEmpty() && nums[i] < stack.peek() && needRemoveCount > 0) {
stack.pop()
needRemoveCount--
}
stack.push(nums[i])
}
//handle case some case, for example 1111
while (needRemoveCount > 0) {
stack.pop()
needRemoveCount--
}
val result = IntArray(k)
var index = k - 1
//replace element from right to left,so no need to reverse
while (stack.isNotEmpty()) {
result[index--] = stack.pop()
}
return result
}
}