POJ 3710 无向图简单环树上删边

时间:2023-03-09 22:03:23
POJ 3710 无向图简单环树上删边

结论题,这题关键在于如何转换环,可以用tarjan求出连通分量后再进行标记,也可以DFS直接找到环后把点的SG值变掉就行了

/** @Date    : 2017-10-23 19:47:47
* @FileName: POJ 3710 简单环 树上删边 DFS.cpp
* @Platform: Windows
* @Author : Lweleth (SoungEarlf@gmail.com)
* @Link : https://github.com/
* @Version : $Id$
*/
#include <stdio.h>
#include <iostream>
#include <string.h>
#include <algorithm>
#include <utility>
#include <vector>
#include <map>
#include <set>
#include <string>
#include <stack>
#include <queue>
#include <math.h>
//#include <bits/stdc++.h>
#define LL long long
#define PII pair<int ,int>
#define MP(x, y) make_pair((x),(y))
#define fi first
#define se second
#define PB(x) push_back((x))
#define MMG(x) memset((x), -1,sizeof(x))
#define MMF(x) memset((x),0,sizeof(x))
#define MMI(x) memset((x), INF, sizeof(x))
using namespace std; const int INF = 0x3f3f3f3f;
const int N = 1e3 + 20;
const double eps = 1e-8; struct node{
int nxt, to;
}edg[N*2]; int vis[N];
int head[N*2];
int tot;
int st[10010], top; int sg[N]; void init()
{
MMG(head);
MMG(vis);
MMF(sg);
tot = top = 0;
} inline void add(int x, int y)
{
edg[tot].nxt = head[x];
edg[tot].to = y;
head[x] = tot++;
} void dfs(int x, int pre)
{
st[++top] = x;
vis[x] = 1;
int flag = 0;
for(int i = head[x]; ~i; i = edg[i].nxt)
{
if(edg[i].to == pre && !flag)
{
flag = 1;
continue;
}
if(vis[edg[i].to] == 1)
{
int nw = st[top];
int cnt = 1;
while(nw != edg[i].to)
vis[nw] = 0, nw = st[--top], cnt++;
if(cnt & 1)//奇数环变边
sg[edg[i].to] ^= 1;
}
else if(vis[edg[i].to] == -1)
{
dfs(edg[i].to, x);
if(vis[edg[i].to])
sg[x] ^= sg[edg[i].to] + 1;
}
}
if(vis[x])
top--;
}
int main()
{
int T;
while(cin >> T){//多组样例233
int ans = 0;
while(T--)
{
int n, m;
scanf("%d%d", &n, &m);
init();
for(int i = 1; i <= m; i++)
{
int x, y;
scanf("%d%d", &x, &y);
add(x, y);
add(y, x);
}
dfs(1, -1);
ans ^= sg[1];
}
printf("%s\n", ans?"Sally":"Harry");
}
return 0;
}