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Solution4.java
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131 lines (129 loc) · 4.32 KB
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public class Solution4 {
public static double findMedianSortedArrays(int[] nums1, int[] nums2) {
return findMedianHelper(nums1, 0, nums1.length - 1, nums2, 0, nums2.length - 1);
}
private static double findMedian(int[] nums, int start, int end) {
int len = end - start + 1;
int mid = start + len / 2;
double median;
if (len % 2 == 0) {
median = (nums[mid] + nums[mid - 1]) / 2.0;
} else {
median = nums[mid];
}
return median;
}
private static double findMedianHelper(int[] nums1, int start1, int end1, int[] nums2, int start2, int end2) {
int len1 = end1 - start1 + 1;
int len2 = end2 - start2 + 1;
if (len1 <= 0 && len2 <= 0) {
return -1;
}
if (len1 <= 0 && len2 > 0) {
return findMedian(nums2, 0, len2 - 1);
}
if (len2 <= 0 && len1 > 0) {
return findMedian(nums1, 0, len1 - 1);
}
if (len1 == 2 && len2 == 2) {
return (Math.max(nums1[start1], nums2[start2]) + Math.min(nums1[end1], nums1[end2])) / 2.0;
}
if (len1 == 1 && len2 == 2) {
if (nums1[start1] < nums2[start2]) {
return nums2[start2];
}
if (nums1[start1] > nums2[end2]) {
return nums2[end2];
}
return nums1[start1];
}
if (len1 == 2 && len2 == 1) {
if (nums2[start2] < nums1[start1]) {
return nums1[start1];
}
if (nums2[start2] > nums1[end1]) {
return nums1[end1];
}
return nums2[start2];
}
while ((start1 <= end1) && len1 >= 2 && start2 <= end2 && len2 >= 2) {
double median1, median2;
median1 = findMedian(nums1, start1, end1);
median2 = findMedian(nums2, start2, end2);
if (median1 == median2) {
return median1;
}
if (median1 > median2) {
end1 = start1 + (end1 - start1) / 2;
start2 = start2 + (end2 - start2) / 2;
} else {
start1 = start1 + (end1 - start1) / 2;
end2 = start2 + (end2 - start2) / 2;
}
return findMedianHelper(nums1, start1, end1, nums2, start2, end2);
}
return -1;
}
public static void main(String[] args) {
// TODO Auto-generated method stub
// int nums1[] = {1, 12, 15, 26, 38};
// int nums2[] = {2, 13, 17, 30, 45};
int nums1[] = {1, 12, 15};
int nums2[] = {2, 13};
System.out.println("The median of nums1 & nums2 should be: 16");
System.out.println("Median calculated: " + findMedianSortedArrays(nums1, nums2));
}
}
/**
* public class Solution
{
public double findMedianSortedArrays(int[] nums1, int[] nums2)
{
if (nums1 == null && nums2 == null) { return 0; }
if (nums1.length == 0 && nums2.length == 0) { return 0; }
int len = nums1.length + nums2.length;
if (len % 2 == 0)
{
return (find(nums1, 0, nums2, 0, len / 2) + find(nums1, 0, nums2, 0, len / 2 + 1)) / 2.0;
}
else
{
return find(nums1, 0, nums2, 0, len / 2 + 1);
}
}
private int find(int[] nums1, int start_1, int[] nums2, int start_2, int k)
{
if (start_1 >= nums1.length) //第一要点:越界判断
{
return nums2[start_2 + k - 1];
}
if (start_2 >= nums2.length)
{
return nums1[start_1 + k - 1];
}
if (k == 1) //第二要点:k == 1
{
return Math.min(nums1[start_1], nums2[start_2]);
}
int half = k / 2;
int key_1 = Integer.MAX_VALUE; //第三要点:越界判断,以及越界的时候用MAX_VALUE
if (start_1 + half - 1 < nums1.length)
{
key_1 = nums1[start_1 + half - 1];
}
int key_2 = Integer.MAX_VALUE;
if (start_2 + half - 1 < nums2.length)
{
key_2 = nums2[start_2 + half - 1];
}
if (key_1 < key_2)
{
return find(nums1, start_1 + half, nums2, start_2, k - half);
}
else
{
return find(nums1, start_1, nums2, start_2 + half, k - half);
}
}
}
*/