Problem:
Score : 200 points

Problem Statement

There are N students and M checkpoints on the xy-plane.

The coordinates of the i-th student (1 \leq i \leq N) is (a_i,b_i), and the coordinates of the checkpoint numbered j (1 \leq j \leq M) is (c_j,d_j).

When the teacher gives a signal, each student has to go to the nearest checkpoint measured in Manhattan distance.

The Manhattan distance between two points (x_1,y_1) and (x_2,y_2) is |x_1-x_2|+|y_1-y_2|.

Here, |x| denotes the absolute value of x.

If there are multiple nearest checkpoints for a student, he/she will select the checkpoint with the smallest index.

Which checkpoint will each student go to?

Constraints

1 \leq N,M \leq 50

-10^8 \leq a_i,b_i,c_j,d_j \leq 10^8

All input values are integers.

Input

The input is given from Standard Input in the following format:

N M
a_1 b_1
:
a_N b_N
c_1 d_1
:
c_M d_M

Output

Print N lines.

The i-th line (1 \leq i \leq N) should contain the index of the checkpoint for the i-th student to go.

Sample Input 1

2 2
2 0
0 0
-1 0
1 0

Sample Output 1

2
1

The Manhattan distance between the first student and each checkpoint is:

For checkpoint 1: |2-(-1)|+|0-0|=3

For checkpoint 2: |2-1|+|0-0|=1

The nearest checkpoint is checkpoint 2. Thus, the first line in the output should contain 2.

The Manhattan distance between the second student and each checkpoint is:

For checkpoint 1: |0-(-1)|+|0-0|=1

For checkpoint 2: |0-1|+|0-0|=1

When there are multiple nearest checkpoints, the student will go to the checkpoint with the smallest index. Thus, the second line in the output should contain 1.

Sample Input 2

3 4
10 10
-10 -10
3 3
1 2
2 3
3 5
3 5

Sample Output 2

3
1
2

There can be multiple checkpoints at the same coordinates.

Sample Input 3

5 5
-100000000 -100000000
-100000000 100000000
100000000 -100000000
100000000 100000000
0 0
0 0
100000000 100000000
100000000 -100000000
-100000000 100000000
-100000000 -100000000

Sample Output 3

5
4
3
2
1

Solution in C++14 (GCC 5.4.1) (judge verdict: Runtime Error)

#include<bits/stdc++.h> //1
using namespace std;//2
int solve(){    //3
} // 4
int main(){//5
    int n,m; //7
    cin >> n >> m; // 8
    vector<pair<long long, long long>> ab; // 1
    vector<pair<long long, long long>> cd; //2
    for(int i=0; i<n; ++i){//3
        cin>>ab[i].first>>ab[i].second; // 4 これあってるのか？
    } //5 あってるきがします…！
    for(int i=0;i<m;++i){//7
        cin>>cd[i].first>>cd[i].second; // 8
    } // 1
    for(int i=0;i<n;++i){//2
        int ans=-1,dist=1e8;//3
        for(int j=0;j<m;j++) { // 4
            if(abs(ab[i].first-cd[j].first)+abs(ab[i].second-cd[j].second)<dist){ //5 
                ans=j,dist=abs(ab[i].first-cd[j].first)+abs(ab[i].second-cd[j].second);//7
            } // 8 ifの}
        } // 1 ひゃ
        cout << ans+1 << endl;//2　
        if("true"=="true"){ //3
        } // 4 こらこら
    } //5
}//7 end