{"raw_statement":[{"iden":"problem statement","content":"There is a rectangle in the $xy$\\-plane, with its lower left corner at $(0, 0)$ and its upper right corner at $(W, H)$. Each of its sides is parallel to the $x$\\-axis or $y$\\-axis. Initially, the whole region within the rectangle is painted white.\nSnuke plotted $N$ points into the rectangle. The coordinate of the $i$\\-th ($1 ≦ i ≦ N$) point was $(x_i, y_i)$.\nThen, he created an integer sequence $a$ of length $N$, and for each $1 ≦ i ≦ N$, he painted some region within the rectangle black, as follows:\n\n*   If $a_i = 1$, he painted the region satisfying $x < x_i$ within the rectangle.\n*   If $a_i = 2$, he painted the region satisfying $x > x_i$ within the rectangle.\n*   If $a_i = 3$, he painted the region satisfying $y < y_i$ within the rectangle.\n*   If $a_i = 4$, he painted the region satisfying $y > y_i$ within the rectangle.\n\nFind the area of the white region within the rectangle after he finished painting."},{"iden":"constraints","content":"*   $1 ≦ W, H ≦ 100$\n*   $1 ≦ N ≦ 100$\n*   $0 ≦ x_i ≦ W$ ($1 ≦ i ≦ N$)\n*   $0 ≦ y_i ≦ H$ ($1 ≦ i ≦ N$)\n*   $W$, $H$ (21:32, added), $x_i$ and $y_i$ are integers.\n*   $a_i$ ($1 ≦ i ≦ N$) is $1, 2, 3$ or $4$."},{"iden":"input","content":"The input is given from Standard Input in the following format:\n\n$W$ $H$ $N$\n$x_1$ $y_1$ $a_1$\n$x_2$ $y_2$ $a_2$\n$:$\n$x_N$ $y_N$ $a_N$"},{"iden":"sample input 1","content":"5 4 2\n2 1 1\n3 3 4"},{"iden":"sample output 1","content":"9\n\nThe figure below shows the rectangle before Snuke starts painting.\n\n![image](https://atcoder.jp/img/abc047/e19e673abcd0882783f635cce9d2f94d.png)\n\nFirst, as $(x_1, y_1) = (2, 1)$ and $a_1 = 1$, he paints the region satisfying $x < 2$ within the rectangle:\n\n![image](https://atcoder.jp/img/abc047/f25cd04bbac23c4e5426d70511a9762f.png)\n\nThen, as $(x_2, y_2) = (3, 3)$ and $a_2 = 4$, he paints the region satisfying $y > 3$ within the rectangle:\n\n![image](https://atcoder.jp/img/abc047/46b0c06fd9eee4f148e1f441f7abca53.png)\n\nNow, the area of the white region within the rectangle is $9$."},{"iden":"sample input 2","content":"5 4 3\n2 1 1\n3 3 4\n1 4 2"},{"iden":"sample output 2","content":"0\n\nIt is possible that the whole region within the rectangle is painted black."},{"iden":"sample input 3","content":"10 10 5\n1 6 1\n4 1 3\n6 9 4\n9 4 2\n3 1 3"},{"iden":"sample output 3","content":"64"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}