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: Accepted)

#include <bits/stdc++.h>
using namespace std ;

#define DEBUG(x) cout << '>' << #x << ':' << x << endl;
#define mem(x,val) memset((x),(val),sizeof(x))
#define all(x) x.begin(),x.end()
#define pb push_back
#define mp make_pair
#define PI acos(-1.0) 
#define N 111

const int INF = 1 << 30 ;
typedef long long ll ;
typedef pair < int , int > pii ;

pair<int,int>student[N] , checkpoint[N] ;

int main() {
  int n, m ;
  vector<int> ans ;
  scanf("%d %d", &n, &m) ;

  for(int i = 1 ;i<=n ;i++){
    scanf("%d %d", &student[i].first, &student[i].second);
  }
  for(int i = 1 ;i<=m ;i++){
    scanf("%d %d", &checkpoint[i].first, &checkpoint[i].second) ;
  }

  for(int i =1 ;i<=n ;i++){
    int min_dist = INT_MAX , idx = 0 ;
    for(int j = 1 ; j<=m ; j++){
      int dist = abs(student[i].first - checkpoint[j].first) + 
        abs(student[i].second - checkpoint[j].second) ;

      if(dist<min_dist){
        idx = j ;
        min_dist = dist ;
      }
    }
    ans.pb(idx) ;
  }

  for(int i = 0;i<ans.size() ;i++)
    printf("%d\n", ans[i]) ;
	
  return 0 ;
}