Chiaki 有一个 $n \times m$ 的单位正方形网格。网格上总共有 $(n + 1) \times (m + 1)$ 个格点。她想知道有多少个顶点在格点上且面积等于 $\frac{s}{2}$ 的直角三角形。
输入包含多组测试数据。第一行包含一个整数 $T$ ($1 \le T \le 10\,000$)，表示测试数据的组数。对于每组测试数据：
第一行包含三个整数 $n, m$ 和 $s$ ($1 \le n, m, s \le 10^8$)。
对于每组测试数据，输出答案对 $(10^9 + 7)$ 取模的结果。
2 1 1 1 2 2 2
4 24
The discussion section is only for posting: General Discussions (problem-solving strategies, alternative approaches), and Off-topic conversations.
This is NOT for reporting issues! If you want to report bugs or errors, please use the Issues section below.
If you find any issues with the problem (statement, scoring, time/memory limits, test cases, etc.), you may submit an issue here. A problem moderator will review your issue.
Guidelines: