【网络流】 SGU 194 Reactor Cooling 无源无汇上下界可行流(裸题)
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ISAP好长啊。。。居然打了20分钟。。。。
#include <cstdio>#include <cstring>#include <cstdlib>#include <string>#include <iostream>#include <algorithm>#include <sstream>#include <cmath>using namespace std;#include <queue>#include <stack>#include <vector>#include <deque>#include <set>#include <map>#include <time.h>;#define cler(arr, val) memset(arr, val, sizeof(arr))#define FOR(i,a,b) for(int i=a;i<=b;i++)#define IN freopen ("in.txt" , "r" , stdin);#define OUT freopen ("out.txt" , "w" , stdout);typedef long long LL;const int MAXN = 10010;const int MAXM = 44224;const int INF = 0x3f3f3f3f;const int mod = 1000000007;struct Edge{ int to,next,cap,flow;}edge[MAXM];int tol,head[MAXN];int gap[MAXN],dep[MAXN],cur[MAXN];void init(){ tol=0; cler(head,-1);}void addedge(int u,int v,int w,int rw=0){ edge[tol].to=v,edge[tol].cap=w,edge[tol].flow=0,edge[tol].next=head[u]; head[u]=tol++; edge[tol].to=u,edge[tol].cap=rw,edge[tol].flow=0,edge[tol].next=head[v]; head[v]=tol++;}int Q[MAXN];void BFS(int star,int end){ cler(dep,-1); cler(gap,0); gap[0]=-1; int front= 0, rear = 0; dep[end]=0; Q[rear++] = end; while(front!= rear) { int u=Q[front++]; for(int i = head[u];i!=-1;i=edge[i].next) { int v=edge[i].to; if(dep[v]!= -1) continue; Q[rear++]= v; dep[v]=dep[u]+1; gap[dep[v]]++; } }}int S[MAXN];int sap(int star,int end,int N){ BFS(star,end); memcpy(cur,head,sizeof(head)); int top=0, u=star,ans=0; while(dep[star]<N) { if(u==end) { int Min=INF; int inser; for(int i=0;i<top;i++) if(Min>edge[S[i]].cap-edge[S[i]].flow) { Min=edge[S[i]].cap-edge[S[i]].flow; inser=i; } for(int i=0;i<top;i++) { edge[S[i]].flow+=Min; edge[S[i]^1].flow-=Min; } ans+=Min; top=inser; u=edge[S[top]^1].to; continue; } bool flag = false; int v; for(int i=cur[u];i!=-1;i=edge[i].next) { v=edge[i].to; if(edge[i].cap-edge[i].flow&&dep[v]+1==dep[u]) { flag = true; cur[u]=i; break; } } if(flag) { S[top++] = cur[u]; u=v; continue; } int Min=N; for(int i= head[u];i!=-1;i=edge[i].next) if(edge[i].cap-edge[i].flow&&dep[edge[i].to]<Min) { Min=dep[edge[i].to]; cur[u]=i; } gap[dep[u]]--; if(!gap[dep[u]]) return ans; dep[u]=Min+1; gap[dep[u]]++; if(u!=star) u=edge[S[--top]^1].to; } return ans;}int low[MAXN];int u,v,c[MAXM],r[MAXM];int main(){ #ifndef ONLINE_JUDGE freopen("in.txt", "r", stdin); //freopen("out.txt", "w", stdout); #endif int n , m; while(scanf("%d%d",&n,&m)!=EOF) { cler(low,0); init(); for(int i=0;i<m;i++) { scanf("%d%d%d%d",&u,&v,&c[i],&r[i]); addedge(u,v,r[i]-c[i]); low[v]+=c[i]; low[u]-=c[i]; } int star=0,end=n+1,sum=0; for(int i=1;i<=n;i++) { if(low[i]>0) addedge(star,i,low[i]),sum+=low[i]; else addedge(i,end,-low[i]); } // cout<<sum<<" "<<sap(star,end,n+2)<<endl; if(sap(star,end,n+2)==sum) { puts("YES"); for(int i=0;i<2*m;i+=2) printf("%d\n",edge[i].flow+c[i/2]); } else puts("NO"); } return 0;}
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