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

链接：https://www.nowcoder.com/acm/contest/163/F

来源：牛客网

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

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 (x_c, y_c) and r. We will paint all grids (i, j) that meets 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 x

_c

, y

_c

 and r (0 ≤ x

_c

 < N; 0 ≤ y

_c

 < M; 0 ≤ r ≤ 10

⁵

), as mentioned above.

输出描述:

For each test case, output one number.

示例1

输入

复制

2
39 49 2
12 31 6
15 41 26
1 1 1
0 0 1

输出

复制

729
0

---

题意还是比较简单的，给你n和m的格子让你去画圆，如果这个点在圆内，就要被染色，问你还剩多少点没有被染色

这个题目可以直接暴力扫描线，也就成了维护线段的并

#include<bits/stdc++.h>
using namespace std;
const int N=2e5+5;
vector<pair<int,int> >V[N];
int main()
{
    int T;
    scanf("%d",&T);
    while(T--)
    {
        for(int i=0; i<N; i++)V[i].clear();
        int n,m,q;
        scanf("%d%d%d",&n,&m,&q);
        for(int j=0,x,y,r; j<q; j++)
        {
            scanf("%d%d%d",&x,&y,&r);
            for(int i=max(0,y-r),d; i<=min(m-1,y+r); i++)
                d=(sqrt(r*r-(y-i)*(y-i)+1e-6)),V[i].push_back(make_pair(max(0,x-d),min(x+d,n-1)));
        }
        int s=n*m;
        for(int i=0; i<m; i++)
        {
            int l=V[i].size();
            if(l>0)
            {
                sort(V[i].begin(),V[i].end());
                int r=-1;
                for(auto X:V[i])
                {
                    if(X.second<=r)continue;
                    if(X.first>r) s-=X.second-X.first+1;
                    else s-=X.second-r;
                    r=X.second;
                }
            }
        }
        cout<<s<<"
";
    }
    return 0;
}