1663: Problem B: Saskatchewan

内存限制:128 MB 时间限制:10 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:1 通过:1

题目描述

Problem B: Saskatchewan

The province of Saskatchewan is surveyed in sections. A section is a square mile of land. Grid roads delimit sections; there is one north-south and one east-west road exactly every mile. (Complications arise because of the curvature of the earth but you can disregard these and assume that the province is a plane.) The provincial border is a polygon whose vertices correspond to the intersections of grid roads. However, the edges do not necessarily follow grid roads; some sections are cut by the border. Your job is to compute how many sections are completely within a province like Saskatchewan.

Standard input contains a series of no more than 100 coordinate pairs, one pair per line. These coordinates give the vertices of the perimeter of the province; the border is formed by connecting them in order. All coordinates are in the first quadrant; they range from 0 to 100,000.

Your output should be a single integer: the number of sections (i.e. unit squares with corners at integer coordinates) fully contained within the province.

输入样例 复制

0 0
0 100000
99999 100000
100000 0

输出样例 复制

9999900000