# Kth Smallest of Two Sorted Array

## Question

Find the kth smallest element of two sorted array. (This question can be applied for finding median of two sorted array)

Example

```c
a = [2,4,6,7,7,10]
b = [1,2,3,4,5,5,5,11]
k = 5
```

Result: 4

## Solution

```java
public int solution(int[] a, int[] b, int k){
    return helper(a,b,0,0,a.length-1,b.length-1,k);
}

public int helper(int[] a, int[] b, int st1, int st2, int ed1, int ed2, int k){
    if(st1>ed1) return b[st2+k-1];
    if(st2>ed2) return a[st1+k-1];
    int mid1 = (ed1+st1)/2;
    int mid2 = (ed2+st2)/2;
    if(mid1+mid2-st1-st2>=k-1){//////////
        if(a[mid1]<b[mid2]){
            return helper(a,b,st1,st2,ed1,mid2-1,k);
        }else{
            return helper(a,b,st1,st2,mid1-1,ed2,k);
        }
    }
    else{
        if(a[mid1]<b[mid2]){
            return helper(a,b,mid1+1,st2,ed1,ed2,k-mid1-st1-1);
        }else{
            return helper(a,b,st1,mid2+1,ed1,ed2,k-mid2-st2-1);
        }
    }
}
```
