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| 1 | +package popular; |
| 2 | + |
| 3 | +import java.util.ArrayDeque; |
| 4 | +import java.util.Arrays; |
| 5 | +import java.util.Deque; |
| 6 | + |
| 7 | +public class SlidingWindowMaximum { |
| 8 | + |
| 9 | + public int[] maxSlidingWindow(int[] nums, int k) { |
| 10 | + if (nums == null || nums.length == 0 || k <= 0) { |
| 11 | + return new int[0]; |
| 12 | + } |
| 13 | + int len = nums.length; |
| 14 | + int[] windowMaxArray = new int[len - k + 1]; |
| 15 | + int[] leftMaxArray = new int[len]; |
| 16 | + int[] rightMaxArray = new int[len]; |
| 17 | + |
| 18 | + int rightIndex; |
| 19 | + for (int i = 0; i < len; i++) { |
| 20 | + leftMaxArray[i] = i % k == 0 ? nums[i] : Math.max(leftMaxArray[i - 1], nums[i]); |
| 21 | + rightIndex = len - i - 1; |
| 22 | + rightMaxArray[rightIndex] = (i == 0 || (rightIndex + 1) % k == 0) ? nums[rightIndex] : Math.max(rightMaxArray[rightIndex + 1], nums[rightIndex]); |
| 23 | + } |
| 24 | + |
| 25 | + for (int j = 0; j <= len - k; j++) { |
| 26 | + windowMaxArray[j] = Math.max(leftMaxArray[j + k - 1], rightMaxArray[j]); |
| 27 | + } |
| 28 | + |
| 29 | + return windowMaxArray; |
| 30 | + } |
| 31 | + |
| 32 | + public int[] maxSlidingWindowWithDeque(int[] nums, int k) { |
| 33 | + if (nums == null || nums.length == 0 || k <= 0) { |
| 34 | + return new int[0]; |
| 35 | + } |
| 36 | + int len = nums.length; |
| 37 | + int[] windowMax = new int[len - k + 1]; |
| 38 | + int windowIndex = 0; |
| 39 | + // store index |
| 40 | + Deque<Integer> deque = new ArrayDeque<>(); |
| 41 | + for (int i = 0; i < len; i++) { |
| 42 | + // remove numbers out of range k |
| 43 | + while (!deque.isEmpty() && deque.peek() < i - k + 1) { |
| 44 | + deque.poll(); |
| 45 | + } |
| 46 | + // remove smaller numbers in k range as they are useless |
| 47 | + while (!deque.isEmpty() && nums[deque.peekLast()] < nums[i]) { |
| 48 | + deque.poll(); |
| 49 | + } |
| 50 | + // deque contains index... r contains content |
| 51 | + deque.offer(i); |
| 52 | + |
| 53 | + if (i + 1 >= k) { |
| 54 | + windowMax[windowIndex++] = nums[deque.peek()]; |
| 55 | + } |
| 56 | + } |
| 57 | + |
| 58 | + return windowMax; |
| 59 | + } |
| 60 | + |
| 61 | + public static void main(String[] args) { |
| 62 | + int[] nums = {1,3,-1,-3,5,3,6,7}; |
| 63 | + int k = 3; |
| 64 | + SlidingWindowMaximum obj = new SlidingWindowMaximum(); |
| 65 | + //int[] windowMax = obj.maxSlidingWindow(nums, k); |
| 66 | + int[] windowMax = obj.maxSlidingWindowWithDeque(nums, k); |
| 67 | + System.out.println("Output: " + Arrays.toString(windowMax)); |
| 68 | + } |
| 69 | + |
| 70 | + |
| 71 | + |
| 72 | +} |
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