今日SGU 5.28

SGU 121

题意:给你一张图,问你每个顶点必须有黑白两条边(如果它的边数>=2),问你怎么染色,不行就输出no 

收获:你会发现不行的情况只有一个单纯的奇数环的时候,反之我们交替染色即可

#include<bits/stdc++.h>
#define de(x) cout<<#x<<"="<<x<<endl;
#define dd(x) cout<<#x<<"="<<x<<" ";
#define rep(i,a,b) for(int i=a;i<(b);++i)
#define repd(i,a,b) for(int i=a;i>=(b);--i)
#define repp(i,a,b,t) for(int i=a;i<(b);i+=t)
#define ll long long
#define mt(a,b) memset(a,b,sizeof(a))
#define fi first
#define se second
#define inf 0x3f3f3f3f
#define INF 0x3f3f3f3f3f3f3f3f
#define pii pair<int,int>
#define pdd pair<double,double>
#define pdi pair<double,int>
#define mp(u,v) make_pair(u,v)
#define sz(a) (int)a.size()
#define ull unsigned long long
#define ll long long
#define pb push_back
#define PI acos(-1.0)
#define qc std::ios::sync_with_stdio(false)
#define db double
#define all(a) a.begin(),a.end()
const int mod = 1e9+7;
const int maxn = 2e2+5;
const double eps = 1e-6;
using namespace std;
bool eq(const db &a, const db &b) { return fabs(a - b) < eps; }
bool ls(const db &a, const db &b) { return a + eps < b; }
bool le(const db &a, const db &b) { return eq(a, b) || ls(a, b); }
ll gcd(ll a,ll b) { return a==0?b:gcd(b%a,a); };
ll lcm(ll a,ll b) { return a/gcd(a,b)*b; }
ll kpow(ll a,ll b) {ll res=1; if(b<0) return 1; for(;b;b>>=1){if(b&1)res=res*a;a=a*a;}return res;}
ll read(){
    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;
}
int n,x;
bool vis[maxn][maxn];
int ans[maxn][maxn];
int in[maxn];
vector<int> G[maxn];
//不行的情况就是存在一个单纯的奇数环 
//奇数环加上一些边的话,要从奇度顶点开始dfs 
void dfs(int u,int col){
    rep(i,0,sz(G[u])){
        int v = G[u][i];
        if(vis[u][v]) continue;
        vis[u][v] = vis[v][u] = true;
        ans[u][v] = ans[v][u] = col;
        dfs(v,col^1); col^=1;
    }
}
bool ok(){
    set<int> s;
    rep(u,1,n+1){
        s.clear();
        if(in[u] < 2) continue;
        rep(i,0,sz(G[u])){
            int v = G[u][i];
            s.insert(ans[u][v]);
        }
        if(sz(s) < 2) return false;
    }
    return true;
}
int main(){
    scanf("%d",&n);
    rep(i,1,n+1) {
        while(scanf("%d",&x)&&x){
            G[i].pb(x);
            in[x]++;
        }
    }
    rep(i,1,n+1) if(in[i] > 1 && (in[i] & 1)) dfs(i,1); 
    rep(i,1,n+1) dfs(i,1);
    if(!ok()) return puts("No solution"),0;
    rep(u,1,n+1){
        rep(i,0,sz(G[u])){
            int v = G[u][i];
            printf("%d ",ans[u][v]?1:2);
        }
        puts("0");
    }
    return 0;
}
View Code

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转载自www.cnblogs.com/chinacwj/p/9098541.html