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# Hotel Service

Problem Description

You are travelling to Neverland. After a long journey, you decided to take rest in a hotel for a night.
You have the map of Neverland in the form of 2D matrix A with dimensions N x M.
The rows are numbered from 1 to N, and the columns are numbered from 1 to M.
You can travel from one cell to any adjacent cell. Two cells are considered adjacent if they share a side.
In the map, there are only two digits, 0 and 1, where 1 denotes a hotel in that cell, and 0 denotes an empty cell.

You are also given another 2D array B with dimension Q x 2,
where each row denotes a co-ordinate (X, Y) on the map (1 - indexed). For each coordinate you have to find the distance to the nearest hotel.
Return an array denoting the answer to each coordinate in the array B.

**Problem Constraints**
1 <= N, M <= 103
1 <= Q <= 105
0 <= A[i][j] <= 1
1 <= B[i][0] <= N
1 <= B[i][1] <= M
There is guranteed to be atleast one hotel on the map.

**Input Format**
The first argument is the 2D integer array A.
The second argument is the 2D integer array B.

**Output Format**
Return an integer array denoting the answer to each coordinate in the array B.

**Example Input**
Input 1:

``````A = [[0, 0],
[1, 0]]
B = [[1, 1],
[2, 1],
[1, 2]]
``````

Input 2:

``````A = [[1, 0, 0 1]]
B = [[1, 2],
[1, 3]]
``````

**Example Output**
Output 1:

``````[1, 0, 2]
``````

Output 2:

``````[1, 1]
``````

**Example Explanation**
Explanation 1:

``(1, 1) is adjacent to a hotel. (2, 1) has a hotel. (1, 2) is two cells away from the hotel on (2, 1).``

Explanation 2:

``````(1, 2) is adjacent to a hotel on (1, 1). (1, 3) is adjacent to a hotel on (1, 4).
``````

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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