快乐安康
给定两个大小分别为 m
和 n
的正序(从小到大)数组 nums1
和 nums2
。请你找出并返回这两个正序数组的 中位数 。
算法的时间复杂度应该为 O(log (m+n))
。
public double findMedianSortedArrays(int[] nums1, int[] nums2) {if (nums1.length > nums2.length) {return findMedianSortedArrays(nums2, nums1);}int x = nums1.length;int y = nums2.length;int low = 0, high = x;while (low <= high) {int partitionX = (low + high) / 2;int partitionY = (x + y + 1) / 2 - partitionX;int maxX = (partitionX == 0) ? Integer.MIN_VALUE : nums1[partitionX - 1];int maxY = (partitionY == 0) ? Integer.MIN_VALUE : nums2[partitionY - 1];int minX = (partitionX == x) ? Integer.MAX_VALUE : nums1[partitionX];int minY = (partitionY == y) ? Integer.MAX_VALUE : nums2[partitionY];if (maxX <= minY && maxY <= minX) {if ((x + y) % 2 == 0) {return (double) (Math.max(maxX, maxY) + Math.min(minX, minY)) / 2;} else {return (double) Math.max(maxX, maxY);}} else if (maxX > minY) {high = partitionX - 1;} else {low = partitionX + 1;}}throw new IllegalArgumentException("Input arrays are not sorted.");
}