题目传送门

题意:给出一幅无向图,求1到n的所有路径中最大异或和,一条边可以被重复经过。

思路:

  参考了大佬的博客

#pragma GCC optimize (2)
#pragma G++ optimize (2)
#pragma comment(linker, "/STACK:102400000,102400000")
#include<bits/stdc++.h>
#include<cstdio>
#include<vector>
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define dep(i,b,a) for(int i=b;i>=a;i--)
#define clr(a,b) memset(a,b,sizeof(a))
#define pb push_back
#define pii pair<int,int >
using namespace std;
typedef long long ll;
const int inf=0x3f3f3f3f;
ll rd()
{
    ll x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
    return x*f;
}
const int maxn=100010;
int n,m,vis[maxn];
struct edge{
    int to;
    ll w;
};
vector<edge >ve[maxn];
ll link,del[maxn];
ll p[70];
void insert(ll res){
    dep(i,63,0){
        if((res>>i)&1){
            if(!p[i]){
                p[i]=res;
                break;
            }
            res^=p[i];
        }
    }
}
ll query(ll x){
    dep(i,63,0){
        if((x^p[i])>x){
            x^=p[i];
        }
    }
    return x;
}
void dfs(int u,ll res){
    del[u]=res;
    vis[u]=1;
    if(u==n){
        link=res;
    }
    for(auto &st:ve[u]){
        if(vis[st.to]){
            insert(res^st.w^del[st.to]);
        }else{
            dfs(st.to,res^st.w);
        }
    }
}
int main(){
    while(cin>>n>>m){
        rep(i,1,n){
            ve[i].clear();
            vis[i]=0;
        }
        rep(i,1,m){
            int u=rd(),v=rd();
            ll w=rd();
            ve[u].pb({v,w}),ve[v].pb({u,w});
        }
        link=-1;
        dfs(1,0);
        printf("%lld\n",query(link));
    }
}
02-12 20:33