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  • 2-sat模板

    暴力:

     1 #include<iostream>
     2 #include<algorithm>
     3 #include<cstdio>
     4 #include<cstring>
     5 #include<cmath>
     6 #include<cstdlib>
     7 #include<vector>
     8 using namespace std;
     9 typedef long long ll;
    10 typedef long double ld;
    11 typedef pair<int,int> pr;
    12 const double pi=acos(-1);
    13 #define rep(i,a,n) for(int i=a;i<=n;i++)
    14 #define per(i,n,a) for(int i=n;i>=a;i--)
    15 #define Rep(i,u) for(int i=head[u];i;i=Next[i])
    16 #define clr(a) memset(a,0,sizeof(a))
    17 #define pb push_back
    18 #define mp make_pair
    19 #define fi first
    20 #define sc second
    21 #define pq priority_queue
    22 #define pqb priority_queue <int, vector<int>, less<int> >
    23 #define pqs priority_queue <int, vector<int>, greater<int> >
    24 #define vec vector
    25 ld eps=1e-9;
    26 ll pp=1000000007;
    27 ll mo(ll a,ll pp){if(a>=0 && a<pp)return a;a%=pp;if(a<0)a+=pp;return a;}
    28 ll powmod(ll a,ll b,ll pp){ll ans=1;for(;b;b>>=1,a=mo(a*a,pp))if(b&1)ans=mo(ans*a,pp);return ans;}
    29 void fre() { freopen("c://test//input.in", "r", stdin); freopen("c://test//output.out", "w", stdout); }
    30 //void add(int x,int y,int z){ v[++e]=y; next[e]=head[x]; head[x]=e; cost[e]=z; }
    31 int dx[5]={0,-1,1,0,0},dy[5]={0,0,0,-1,1};
    32 ll read(){ ll ans=0; char last=' ',ch=getchar();
    33 while(ch<'0' || ch>'9')last=ch,ch=getchar();
    34 while(ch>='0' && ch<='9')ans=ans*10+ch-'0',ch=getchar();
    35 if(last=='-')ans=-ans; return ans;
    36 }
    37 const int N=16005;
    38 const int M=50000;
    39 int head[N],Next[M],v[M],ans[N],S[N],top,e,n,m;
    40 void add(int x,int y){ v[++e]=y; Next[e]=head[x]; head[x]=e;}
    41 int dfs(int x){
    42     if (ans[x]) return 1;
    43     if (ans[x^1]) return 0;
    44     ans[x]=1; S[++top]=x;
    45     for (int i=head[x];i;i=Next[i]){
    46         if (!dfs(v[i])) return 0; 
    47     }
    48     return 1;
    49 }
    50 int work(){
    51     for (int i=0;i<n+n;i+=2){
    52         if (ans[i] || ans[i^1]) continue;
    53         top=0;
    54         if (!dfs(i)){
    55             while (top) ans[S[top--]]=0;
    56             if (!dfs(i^1)) {
    57                 while (top) ans[S[top--]]=0;
    58                 return 0;
    59             }
    60         }
    61     }
    62     return 1;
    63 }
    64 int main(){
    65     while (~scanf("%d%d",&n,&m)){
    66         e=0;
    67         for (int i=0;i<n+n;i++) head[i]=0;
    68         while (m--){
    69             int a=read(),b=read(); a--; b--;
    70             add(a,b^1); add(b,a^1);
    71         }
    72         for (int i=0;i<n+n;i++) ans[i]=0;
    73         if (!work()){
    74             puts("NIE");
    75         } else {
    76             for (int i=0;i<n+n;i++)
    77                 if (ans[i]) printf("%d
    ",i+1);
    78         }
    79     }
    80     return 0;
    81 } 
    View Code

    2-sat:

      1 #include<iostream>
      2 #include<algorithm>
      3 #include<cstdio>
      4 #include<cstring>
      5 #include<cmath>
      6 #include<cstdlib>
      7 #include<vector>
      8 using namespace std;
      9 typedef long long ll;
     10 typedef long double ld;
     11 typedef pair<int,int> pr;
     12 const double pi=acos(-1);
     13 #define rep(i,a,n) for(int i=a;i<=n;i++)
     14 #define per(i,n,a) for(int i=n;i>=a;i--)
     15 #define Rep(i,u) for(int i=head[u];i;i=Next[i])
     16 #define clr(a) memset(a,0,sizeof(a))
     17 #define pb push_back
     18 #define mp make_pair
     19 #define fi first
     20 #define sc second
     21 #define pq priority_queue
     22 #define pqb priority_queue <int, vector<int>, less<int> >
     23 #define pqs priority_queue <int, vector<int>, greater<int> >
     24 #define vec vector
     25 ld eps=1e-9;
     26 ll pp=1000000007;
     27 ll mo(ll a,ll pp){if(a>=0 && a<pp)return a;a%=pp;if(a<0)a+=pp;return a;}
     28 ll powmod(ll a,ll b,ll pp){ll ans=1;for(;b;b>>=1,a=mo(a*a,pp))if(b&1)ans=mo(ans*a,pp);return ans;}
     29 void fre() { freopen("c://test//input.in", "r", stdin); freopen("c://test//output.out", "w", stdout); }
     30 //void add(int x,int y,int z){ v[++e]=y; next[e]=head[x]; head[x]=e; cost[e]=z; }
     31 int dx[5]={0,-1,1,0,0},dy[5]={0,0,0,-1,1};
     32 ll read(){ ll ans=0; char last=' ',ch=getchar();
     33 while(ch<'0' || ch>'9')last=ch,ch=getchar();
     34 while(ch>='0' && ch<='9')ans=ans*10+ch-'0',ch=getchar();
     35 if(last=='-')ans=-ans; return ans;
     36 }
     37 const int N=16005;
     38 const int M=50000;
     39 int head[N],Next[M],v[M],head_[N],Next_[M],v_[M],dfn[N],Time,Stack[N],Ins[N],low[N],ans[N],S[N],top,e,n,m,num,belong[N],in[N],l[N];
     40 #include<queue>
     41 queue<int> Q[2];
     42 void add(int x,int y){ v[++e]=y; Next[e]=head[x]; head[x]=e;}
     43 void add_(int x,int y){ v_[++e]=y; Next_[e]=head_[x]; head_[x]=e;}
     44 void Taj(int u){
     45     dfn[u]=low[u]=++Time; Stack[++top]=u; Ins[u]=1;
     46     for (int i=head[u];i;i=Next[i])
     47     if (dfn[v[i]]==0){
     48         Taj(v[i]);
     49         low[u]=min(low[u],low[v[i]]);
     50     } else if (Ins[v[i]]) low[u]=min(low[u],dfn[v[i]]);
     51     if (low[u]==dfn[u]){
     52         num++;
     53         while (Stack[top]!=u) {
     54             Ins[Stack[top]]=0;
     55             belong[Stack[top]]=num;
     56             top--;
     57         }
     58         Ins[Stack[top]]=0;
     59         belong[Stack[top]]=num;
     60         top--;
     61     }
     62 
     63 }
     64 int pd(){
     65         for (int i=0;i<n+n;i+=2){
     66                 if (belong[i+1]==belong[i]) return 1;
     67         }
     68         return 0;
     69 }
     70 void TopS(){
     71         for (int i=1;i<=num;i++)
     72         if (!in[i]){
     73                 Q[0].push(i);
     74         }
     75         int p=0;
     76         while (!Q[p%2].empty()){
     77                 while (!Q[p%2].empty()){
     78                         int u=Q[p%2].front(); Q[p%2].pop(); if (ans[l[u]]==1) continue; ans[u]=1;
     79                         for (int i=head_[u];i;i=Next_[i]){
     80                                 in[v_[i]]--;
     81                                 if (!in[v_[i]]) Q[(p+1)%2].push(v_[i]);
     82                         }
     83                 }
     84                 p++;
     85         }
     86         for (int i=0;i<n+n;i++)
     87         if (ans[belong[i]]){
     88                 printf("%d
    ",i+1);
     89         }
     90 }
     91 int main(){
     92         while (~scanf("%d%d",&n,&m)){
     93                 e=0;
     94                 for (int i=0;i<n+n;i++) head[i]=0;
     95                 for (int i=0;i<n+n;i++) head_[i]=0;
     96                 while (m--){
     97                         int a=read(),b=read(); a--; b--;
     98                         add(a,b^1); add(b,a^1);
     99                 }
    100                 top=0; num=0; Time=0; e=0;
    101                 memset(dfn,0,sizeof(dfn));
    102                 memset(low,0,sizeof(low));
    103                 memset(Ins,0,sizeof(Ins));
    104                 memset(ans,0,sizeof(ans));
    105                 memset(in,0,sizeof(in));
    106                 for (int i=0;i<n+n;i++)
    107                 if (!dfn[i]) Taj(i);
    108                 for (int i=0;i<n+n;i++){
    109                         for (int j=head[i];j;j=Next[j]){
    110                                 if (belong[i]!=belong[v[j]]){
    111                                         add_(belong[v[j]],belong[i]); in[belong[i]]++;
    112                                 }
    113                         }
    114                 }
    115                 for (int i=0;i<n+n;i+=2){
    116                         l[belong[i]]=belong[i+1];
    117                         l[belong[i+1]]=belong[i];
    118                 }
    119                 if (pd()){
    120                         puts("NIE
    ");
    121                 } else TopS();
    122         }
    123         return 0;
    124 }
    View Code
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  • 原文地址:https://www.cnblogs.com/SXia/p/7470549.html
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