LeetCode : 4. Median of Two Sorted Arrays

[congr]

https://leetcode.com/problems/median-of-two-sorted-arrays/description/

[congr]

https://www.geeksforgeeks.org/median-two-sorted-arrays-different-sizes-ologminn-m/

https://www.youtube.com/watch?v=LPFhl65R7ww

[congr]

LeetCode AC

class Solution {
    public double findMedianSortedArrays(int[] X, int[] Y) {
        int x = X.length, y = Y.length;
        if (x > y) return findMedianSortedArrays(Y, X);
        
        int low = 0, high = x;
        
        while(low <= high) {
            int px = (low+high)/2;
            int py = (x + y + 1)/2 - px; // !!!
            
            int maxlx = (px == 0) ? Integer.MIN_VALUE: X[px-1];
            int minrx = (px == x) ? Integer.MAX_VALUE: X[px];
            
            int maxly = (py == 0) ? Integer.MIN_VALUE: Y[py-1];
            int minry = (py == y) ? Integer.MAX_VALUE: Y[py];
            
            if (maxlx <= minry && maxly <= minrx) {
                if ((x+y)%2 == 0) return ((double)Math.max(maxlx, maxly) + Math.min(minrx, minry)) / 2.0;
                else return Math.max(maxlx, maxly);
            } else if (maxlx > minry)
                high = px - 1;
            else low = px + 1;
        }
        
        return 0.0;
    }
}