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Jun 21, 2020
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86 changes: 27 additions & 59 deletions src/main/java/com/fishercoder/solutions/_239.java
Original file line number Diff line number Diff line change
@@ -1,60 +1,28 @@
package com.fishercoder.solutions;

import java.util.PriorityQueue;

/**
* 239. Sliding Window Maximum
*
* Given an array nums, there is a sliding window of size k which is moving from the very left of the array to the very right.
* You can only see the k numbers in the window. Each time the sliding window moves right by one position.

For example:

Given nums = [1,3,-1,-3,5,3,6,7], and k = 3.

Window position Max
--------------- -----
[1 3 -1] -3 5 3 6 7 3
1 [3 -1 -3] 5 3 6 7 3
1 3 [-1 -3 5] 3 6 7 5
1 3 -1 [-3 5 3] 6 7 5
1 3 -1 -3 [5 3 6] 7 6
1 3 -1 -3 5 [3 6 7] 7
Therefore, return the max sliding window as [3,3,5,5,6,7].

Note:
You may assume k is always valid, ie: 1 ≤ k ≤ input array's size for non-empty array.

Follow up:
Could you solve it in linear time?

Hint:
How about using a data structure such as deque (double-ended queue)?
The queue size need not be the same as the window’s size.
Remove redundant elements and the queue should store only elements that need to be considered.
*/
public class _239 {

public static class Solution1 {
public int[] maxSlidingWindow(int[] nums, int k) {
if (nums == null || nums.length == 0 || k == 0) {
return new int[0];
}
PriorityQueue<Integer> heap = new PriorityQueue<>((a, b) -> b - a);
int[] res = new int[nums.length - k + 1];
for (int i = 0; i < nums.length; i++) {
if (i < k) {
heap.offer(nums[i]);
if (i == k - 1) {
res[0] = heap.peek();
}
} else {
heap.remove(nums[i - k]);
heap.offer(nums[i]);
res[i - k + 1] = heap.peek();
}
}
return res;
}
}
public class Solution {
public int[] maxSlidingWindow(int[] a, int k) {
if (a == null || k <= 0) {
return new int[0];
}
int n = a.length;
int[] r = new int[n-k+1];
int ri = 0;
// store index
Deque<Integer> q = new ArrayDeque<>();
for (int i = 0; i < a.length; i++) {
// remove numbers out of range k
while (!q.isEmpty() && q.peek() < i - k + 1) {
q.poll();
}
// remove smaller numbers in k range as they are useless
while (!q.isEmpty() && a[q.peekLast()] < a[i]) {
q.pollLast();
}
// q contains index... r contains content
q.offer(i);
if (i >= k - 1) {
r[ri++] = a[q.peek()];
}
}
return r;
}
}