H - Cow Contest POJ - 3660
N (1 ≤ N ≤ 100) cows, conveniently numbered 1..N, are participating in a programming contest. As we all know, some cows code better than others. Each cow has a certain constant skill rating that is unique among the competitors.
The contest is conducted in several head-to-head rounds, each between two cows. If cow A has a greater skill level than cow B (1 ≤ A ≤ N; 1 ≤ B ≤ N; A ≠ B), then cow A will always beat cow B.
Farmer John is trying to rank the cows by skill level. Given a list the results of M (1 ≤ M ≤ 4,500) two-cow rounds, determine the number of cows whose ranks can be precisely determined from the results. It is guaranteed that the results of the rounds will not be contradictory.
Input
* Line 1: Two space-separated integers: N and M
* Lines 2..M+1: Each line contains two space-separated integers that describe the competitors and results (the first integer, A, is the winner) of a single round of competition: A and B
Output
* Line 1: A single integer representing the number of cows whose ranks can be determined
Sample Input
5 5
4 3
4 2
3 2
1 2
2 5
Sample Output
2
用位运算的方法来传递胜负信息
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <queue>
#include <map>
#include <sstream>
#include <cstdio>
#include <cstring>
#include <numeric>
#include <cmath>
#include <iomanip>
#include <deque>
#include <bitset>
//#include <unordered_set>
//#include <unordered_map>
//#include <bits/stdc++.h>
//#include <xfunctional>
#define ll long long
#define PII pair<int, int>
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define dec(i,a,b) for(int i=a;i>=b;i--)
#define pb push_back
#define mp make_pair
using namespace std;
int dir[5][2] = { { 0,1 } ,{ 0,-1 },{ 1,0 },{ -1,0 } ,{ 0,0 } };
const long long INF = 0x7f7f7f7f7f7f7f7f;
const int inf = 0x3f3f3f3f;
const double pi = 3.14159265358979;
const int mod = 1e9 + 7;
const int N = 105;
//if(x<0 || x>=r || y<0 || y>=c)
inline ll read()
{
ll x = 0; bool f = true; char c = getchar();
while (c < '0' || c > '9') { if (c == '-') f = false; c = getchar(); }
while (c >= '0' && c <= '9') x = (x << 1) + (x << 3) + (c ^ 48), c = getchar();
return f ? x : -x;
}
int n,m;
bool a[N][N];
int main()
{
cin >> n >> m;
memset(a, 0, sizeof(a));
for (int i = 0; i < m; i++)
{
int x, y;
cin >> x >> y;
a[x][y] = 1;
}
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
for (int k = 1; k <= n; k++)
a[k][j] |= a[k][i] & a[i][j];
int ans = 0;
for (int i = 1; i <= n; i++)
{
int cnt = 0;
for (int j = 1; j <= n; j++)
{
if (a[j][i])
cnt++;
if (a[i][j])
cnt++;
}
if (cnt == n - 1)
ans++;
}
cout << ans << endl;
return 0;
}