2018 ACM 国际大学生程序设计竞赛上海大都会赛重现赛 F Color it (扫描线)

2018 ACM 国际大学生程序设计竞赛上海大都会赛重现赛 F Color it (扫描线)

链接：https://ac.nowcoder.com/acm/contest/163/F来源：牛客网

时间限制：C/C++ 3秒，其他语言6秒

空间限制：C/C++ 262144K，其他语言524288K

64bit IO Format: %lld

题目描述

There is a matrix A that has N rows and M columns. Each grid (i,j)(0 ≤ i < N, 0 ≤ j < M) is painted in white at first.

Then we perform q operations:

For each operation, we are given (xc, yc) and r. We will paint all grids (i, j) that meets (i−xc)2+(j−yc)2≤r\sqrt{(i-x_c)^2 + (j-y_c)^2} \leq r(i−xc​)2+(j−yc​)2​≤r to black.

You need to calculate the number of white grids left in matrix A.

输入描述:

The first line of the input is T(1≤ T ≤ 40), which stands for the number of test cases you need to solve.The first line of each case contains three integers N, M and q (1 ≤ N, M ≤ 2 x 104; 1 ≤ q ≤ 200), as mentioned above.The next q lines, each lines contains three integers xc, yc and r (0 ≤ xc < N; 0 ≤ yc < M; 0 ≤ r ≤ 105), as mentioned above.

输出描述:

For each test case, output one number.

示例1

输入

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