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UVA 11748 Rigging Elections 【dfs】


​​https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=2848​​​
题意:n个人选举,给出m个人的投票人对于每个人的优先级,想让第c个人赢,问能不能

思路:对于两个人上场,如果a能赢b,就建一条a->b的边,然后问题其实就变成能否以c为根节点是一棵树,直接dfs一遍即可

代码:

#include <stdio.h>
#include <iostream>
#include <algorithm>
#include <string.h>
#include <queue>
#include <math.h>
#include <map>
#include <string>

using namespace std;

int n, m, c;

vector<int> g[110];
int is[110][110];
int vis[110];
int ans;

void dfs(int u)
{
if (!vis[u]) ans += 1;
vis[u] = 1;
for (int i = 0; i < g[u].size(); i++)
if (!vis[g[u][i]]) dfs(g[u][i]);
}

int main()
{
while (cin >> n >> m >> c)
{
if (n == 0 && m == 0 && c == 0) break;
memset(is,0,sizeof(is));
memset(vis, 0, sizeof(vis));
for (int i = 0; i <= 105; i++) g[i].clear();

for (int i = 1; i <= m; i++)
{
for (int j = 1; j <= n; j++)
{
int x;
cin >> x;
is[i][x] = j;
}
}

for (int i = 1; i <= n; i++)
for (int j = i + 1; j <= n; j++)
{
int num = 0;
for (int k = 1; k <= m; k++)
{
if (is[k][i] < is[k][j])
num++;
}
if (num * 2 > m)
g[i].push_back(j);
else
g[j].push_back(i);
}
ans = 0;
dfs(c);
if (ans == n) puts("yes");
else puts("no");
}
return 0;
}


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