Easy
You are given an integer array nums
and an integer k
. You want to find a subsequence of nums
of length k
that has the largest sum.
Return any such subsequence as an integer array of length k
.
A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.
Example 1:
Input: nums = [2,1,3,3], k = 2
Output: [3,3]
Explanation: The subsequence has the largest sum of 3 + 3 = 6.
Example 2:
Input: nums = [-1,-2,3,4], k = 3
Output: [-1,3,4]
Explanation: The subsequence has the largest sum of -1 + 3 + 4 = 6.
Example 3:
Input: nums = [3,4,3,3], k = 2
Output: [3,4]
Explanation: The subsequence has the largest sum of 3 + 4 = 7.
Another possible subsequence is [4, 3].
Constraints:
1 <= nums.length <= 1000
-105 <= nums[i] <= 105
1 <= k <= nums.length
import java.util.PriorityQueue
class Solution {
fun maxSubsequence(nums: IntArray, k: Int): IntArray {
// Create proirity queue with min priority queue so that min element will be removed first,
// with index
// Add those unique index in a set
// Loop from 0 to n-1 and add element in result if set contains those index
// For ex. set has index 3,5,6 Just add those element. Order will be maintained
// We are defining the min priority queue
val q = PriorityQueue { a: IntArray, b: IntArray -> a[0] - b[0] }
// Add element with index to priority queue
for (i in nums.indices) {
q.offer(intArrayOf(nums[i], i))
if (q.size > k) {
q.poll()
}
}
// Set to keep index
val index: MutableSet<Int> = HashSet()
// At the index in the set since index are unique
while (q.isNotEmpty()) {
val top = q.poll()
index.add(top[1])
}
// Final result add here
val result = IntArray(k)
// Just add the element in the result for those index present in SET
var p = 0
for (i in nums.indices) {
if (index.contains(i)) {
result[p] = nums[i]
++p
}
}
return result
}
}