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ZOJ Problem Set - 1636
Evaluate Matrix Sum

Time Limit: 2 Seconds      Memory Limit: 65536 KB

Given a matrix, the elements of which are all integer number from 0 to 50, you are required to evaluate the square sum of its specified sub-matrix.


Input

The first line of the input contains a single integer T (1 <= T <= 5), the number of test cases.

For each test case, the first line contains two integers m and n (1 <= m, n <= 500), which are the row and column sizes of the matrix, respectively. The next m lines with n numbers each gives the elements of the matrix.

The next line contains a single integer N (1 <= N <= 100,000), the number of queries. The next N lines give one query on each line, with four integers r1, c1, r2, c2 (1 <= r1 <= r2 <= m, 1 <= c1 <= c2 <= n), which are the indices of the upper-left corner and lower-right corner of the sub-matrix in question.


Output

For each test case, first print the number of the test case, then N lines with one number on each line, the required square sum. Refer to the sample output for details.


Sample Input

2
2 3
1 2 3
4 5 6
2
1 1 2 2
1 3 2 3
3 3
4 2 3
2 5 1
7 9 2
1
1 1 3 3


Sample Output

Case 1:
46
45
Case 2:
193



Author: DU, Peng
Source: Zhejiang University Local Contest 2003
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