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 Rust (1.42.0) (judge verdict: Accepted)

use std::io;
use std::io::stdin;

fn main() {
    let mut input_line: String = String::new();
    io::stdin().read_line(&mut input_line).expect("Err");

    let inputs: Vec<&str> = input_line.split_whitespace().collect();

    let n: i32 = inputs[0].parse().unwrap();
    let m: i32 = inputs[1].parse().unwrap();

    let mut students = Vec::new();
    let mut checkpoints = Vec::new();

    // load students pos
    for _i in 0..n {
        let mut tmp_line = String::new();
        stdin().read_line(&mut tmp_line);
        let pos: Vec<&str> = tmp_line.split_whitespace().collect();
        let x:i64 = pos[0].parse().unwrap();
        let y:i64 = pos[1].parse().unwrap();

        students.push([x, y]);
    }

    // load checkpoints pos
    for _i in 0..m {
        let mut tmp_line = String::new();
        stdin().read_line(&mut tmp_line);
        let pos: Vec<&str> = tmp_line.split_whitespace().collect();
        let x:i64 = pos[0].parse().unwrap();
        let y:i64 = pos[1].parse().unwrap();

        checkpoints.push([x, y]);
    }

    for student_id in 0..students.len(){
        // println!("start student_id:{}", student_id);
        let mut will_go_number = 1;
        let mut min_distance = 1000_0000_0000;
        for checkpoint_id in 0..checkpoints.len(){
            let distance = _calc_distance(students[student_id][0], checkpoints[checkpoint_id][0], students[student_id][1],checkpoints[checkpoint_id][1]);
            // println!("checking student_id:{} min_distance:{}(id:{}) calced_distance:{}", student_id, min_distance, checkpoint_id, distance);
            if min_distance > distance{
                will_go_number = checkpoint_id + 1;
                min_distance = distance;
            }
        }
        println!("{}", will_go_number);
    }

}




fn calc_distance(x:[i64;2], y:[i64;2]) -> i64 {
    return _calc_distance(x[0], x[1], y[0], y[1]);
}

fn _calc_distance(x1:i64, x2:i64, y1:i64, y2:i64) -> i64 {
    let mut x = x1 - x2;
    let mut y = y1 - y2;

    if x < 0 { x *= -1; }
    if y < 0 { y *= -1; }

    return x + y;
}