{"raw_statement":[{"iden":"problem statement","content":"We have a circle of radius $R$ centered at $(X, Y)$.  \nFind the number of grid points (points whose $x$\\- and $y$\\-coordinates are both integers) within or on the circle."},{"iden":"constraints","content":"*   $|X| \\le 10^5$\n*   $|Y| \\le 10^5$\n*   $0 \\lt R \\le 10^5$\n*   Each of $X$, $Y$, and $R$ has at most four digits after the decimal point."},{"iden":"input","content":"Input is given from Standard Input in the following format:\n\n$X$ $Y$ $R$"},{"iden":"sample input 1","content":"0.2 0.8 1.1"},{"iden":"sample output 1","content":"3\n\nThe circle is shown below. The grid points within or on the circle are marked red.\n![image](https://img.atcoder.jp/ghi/4f37b99cfbdbb337043b16d8ce64571c.png)"},{"iden":"sample input 2","content":"100 100 1"},{"iden":"sample output 2","content":"5\n\n$X$, $Y$, and $R$ may not have decimal points. Note that we also count the grid points on the circle."},{"iden":"sample input 3","content":"42782.4720 31949.0192 99999.99"},{"iden":"sample output 3","content":"31415920098"}],"translated_statement":null,"sample_group":[],"show_order":["default"],"formal_statement":null,"simple_statement":null,"has_page_source":true}