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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <inttypes.h>

static int_fast32_t fastabs(int_fast32_t v)
{
    return (v < 0) ? -v : v;
}

int main(void)
{
    size_t n, m;
    scanf("%zu %zu", &n, &m);
    int_fast32_t x[51][2];
    for (size_t i = 0; i < n; ++i) {
        scanf("%" SCNdFAST32 " %" SCNdFAST32, &x[i][0], &x[i][1]);
    }
    int_fast32_t y[51][2];
    for (size_t i = 0; i < n; ++i) {
        scanf("%" SCNdFAST32 " %" SCNdFAST32, &y[i][0], &y[i][1]);
    }
    for (size_t i = 0; i < n; ++i) {
        size_t index = 0;
        int_fast32_t minvalue = INT_FAST32_MAX;
        for (size_t j = 0; j < n; ++j) {
            int_fast32_t value = fastabs(x[i][0] - y[j][0]) + fastabs(x[i][1] - y[j][1]);
            if (value < minvalue) {
                minvalue = value;
                index = j + 1;
            }
        }
        printf("%" PRIdFAST32 "\n", index);
    }
    return 0;
}