Time Limit: 6000/3000 MS (Java/Others) Memory Limit: 655350/165535 K (Java/Others)
Total Submission(s): 3359 Accepted Submission(s):
1083
Problem Description
You’re giving a party in the garden of your villa by
the sea. The party is a huge success, and everyone is here. It’s a warm, sunny
evening, and a soothing wind sends fresh, salty air from the sea. The evening is
progressing just as you had imagined. It could be the perfect end of a beautiful
day.
But nothing ever is perfect. One of your guests works in weather forecasting. He suddenly yells, “I know that breeze! It means its going to rain heavily in just a few minutes!” Your guests all wear their best dresses and really would not like to get wet, hence they stand terrified when hearing the bad news.
You have prepared a few umbrellas which can protect a few of your guests. The umbrellas are small, and since your guests are all slightly snobbish, no guest will share an umbrella with other guests. The umbrellas are spread across your (gigantic) garden, just like your guests. To complicate matters even more, some of your guests can’t run as fast as the others.
Can you help your guests so that as many as possible find an umbrella before it starts to pour?
Given the positions and speeds of all your guests, the positions of the umbrellas, and the time until it starts to rain, find out how many of your guests can at most reach an umbrella. Two guests do not want to share an umbrella, however.
But nothing ever is perfect. One of your guests works in weather forecasting. He suddenly yells, “I know that breeze! It means its going to rain heavily in just a few minutes!” Your guests all wear their best dresses and really would not like to get wet, hence they stand terrified when hearing the bad news.
You have prepared a few umbrellas which can protect a few of your guests. The umbrellas are small, and since your guests are all slightly snobbish, no guest will share an umbrella with other guests. The umbrellas are spread across your (gigantic) garden, just like your guests. To complicate matters even more, some of your guests can’t run as fast as the others.
Can you help your guests so that as many as possible find an umbrella before it starts to pour?
Given the positions and speeds of all your guests, the positions of the umbrellas, and the time until it starts to rain, find out how many of your guests can at most reach an umbrella. Two guests do not want to share an umbrella, however.
Input
The input starts with a line containing a single
integer, the number of test cases.
Each test case starts with a line containing the time t in minutes until it will start to rain (1 <=t <= 5). The next line contains the number of guests m (1 <= m <= 3000), followed by m lines containing x- and y-coordinates as well as the speed si in units per minute (1 <= si <= 3000) of the guest as integers, separated by spaces. After the guests, a single line contains n (1 <= n <= 3000), the number of umbrellas, followed by n lines containing the integer coordinates of each umbrella, separated by a space.
The absolute value of all coordinates is less than 10000.
Each test case starts with a line containing the time t in minutes until it will start to rain (1 <=t <= 5). The next line contains the number of guests m (1 <= m <= 3000), followed by m lines containing x- and y-coordinates as well as the speed si in units per minute (1 <= si <= 3000) of the guest as integers, separated by spaces. After the guests, a single line contains n (1 <= n <= 3000), the number of umbrellas, followed by n lines containing the integer coordinates of each umbrella, separated by a space.
The absolute value of all coordinates is less than 10000.
Output
For each test case, write a line containing “Scenario
#i:”, where i is the number of the test case starting at 1. Then, write a single
line that contains the number of guests that can at most reach an umbrella
before it starts to rain. Terminate every test case with a blank line.
Sample Input
2
1
2
1 0 3
3 0 3
2
4 0
6 0
1
2
1 1 2
3 3 2
2
2 2
4 4
Sample Output
Scenario #1:
2
Scenario #2:
2
Source
Recommend
Hopcroft-Karp算法（适用于节点数较多的二分图问题）。
#include <cmath> #include <queue> #include <cstdio> #include <cstring> #define N 3001 const int INF = 0x3f3f3f3f; using namespace std; int Nx, Ny, dis; int Mx[N], My[N], dx[N], dy[N], vis[N], map[N][N]; struct condit{ double x, y, V; }num[N], Sz[N]; bool Dfs(int u){ for(int v = 0; v < Ny; v++) if(!vis[v] && map[u][v] && dy[v] == dx[u] + 1){ vis[v] = 1; if(My[v] != -1 && dy[v] == dis) continue; if(My[v] == -1|| Dfs(My[v])){ My[v] = u; Mx[u] = v; return 1; } } return 0; } bool Search(){ queue<int> Q; dis = INF; memset(dx, -1, sizeof(dx)); memset(dy, -1, sizeof(dy)); for(int i = 0; i < Nx; i++) if(Mx[i] == -1){ Q.push(i); dx[i] = 0; } while(!Q.empty()){ int u = Q.front(); Q.pop(); if(dx[u] > dis) break; for(int v = 0; v < Ny; v++) if(map[u][v] && dy[v] == -1){ dy[v] = dx[u] + 1; if(My[v] == -1) dis = dy[v]; else{ dx[My[v]] = dy[v] + 1; Q.push(My[v]); } } } return dis != INF; } int Maxmatch(){ int res = 0; memset(Mx, -1, sizeof(Mx)); memset(My, -1, sizeof(My)); while(Search()){ memset(vis, 0, sizeof(vis)); for(int i = 0; i < Nx; i++) if(Mx[i] == -1&& Dfs(i)) res++; } return res; } double Count(condit a, condit b){ double c = a.x - b.x; double d = a.y - b.y; return sqrt(c*c+d*d); } int main(){ int t, Q = 1; scanf("%d", &t); while(t--){ //memset(dis, 0, sizeof(dis)); memset(map, 0, sizeof(map)); int n, m, Vt; scanf("%d", &Vt); scanf("%d", &m); for(int i = 0; i < m; i++) scanf("%lf%lf%lf", &num[i].x, &num[i].y, &num[i].V); scanf("%d", &n); for(int i = 0; i < n; i++) scanf("%lf%lf", &Sz[i].x, &Sz[i].y); Nx = m; Ny = n; for(int i = 0; i < m; i++) for(int j = 0; j < n; j++){ if(Count(num[i], Sz[j])/num[i].V <= Vt) map[i][j] = 1; } printf("Scenario #%d: %d ", Q++, Maxmatch()); } return 0; }