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 JavaScript (node.js v5.12) (judge verdict: Accepted)

'use strict'

const main = arg => {
    arg = arg.trim().split("\n")
    const N = ~~(arg[0].split(" ")[0]);
    const M = ~~(arg[0].split(" ")[1]);
    let arr = arg.slice(1, N + 1);
    let points = arg.slice(N + 1, M + N + 1);

    const parse = v => {
        let temp = v.split(" ").map(vv => parseInt(vv))
        return {
            x: temp[0],
            y: temp[1]
        }
    }
    
    arr = arr.map(parse);
    points = points.map(parse);


    let indexArr = [];
    arr.forEach((v, i) => {
        let minDist = 1000000000;
        let index = 0;
        
        points.forEach((w, j) => {
            let dist = Math.abs(v.x - w.x) + Math.abs(v.y - w.y);
            if(dist < minDist){
                minDist = dist;
                index = j;
            }
        })
        
        indexArr.push(index);
    })

    indexArr.forEach(v => console.log(v + 1));
}

main(require('fs').readFileSync('/dev/stdin', 'utf-8'))