1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
|
using namespace std; typedef long long ll; const ll mod=998244353; const int maxn=1e6+50; const ll inf=0x3f3f3f3f3f3f3f3fLL; struct { int from,to,cap,flow; Edge(int u,int v,int c,int f) :from(u),to(v),cap(c),flow(f){} bool operator<(const Edge& a)const{ return from<a.from||(from==a.from&&to<a.to); } }; struct Dinic{ int n,m,s,t; vector<Edge>edges; vector<int>G[maxn]; bool vis[maxn]; int d[maxn]; int cur[maxn]; void init(int n){ this->n=n; for(int i=0;i<n;i++)G[i].clear(); edges.clear(); } void ClearFlow(){ for(int i=0;i<edges.size();i++)edges[i].flow=0; } void AddEdge(int from,int to,int cap){ edges.push_back(Edge(from,to,cap,0)); edges.push_back(Edge(to,from,0,0)); m=edges.size(); G[from].push_back(m-2); G[to].push_back(m-1); } bool BFS(){ memset(vis,0,sizeof(vis)); memset(d,0,sizeof(d)); queue<int>q; q.push(s); d[s]=0; vis[s]=1; while(!q.empty()){ int x=q.front(); q.pop(); for(int i=0;i<G[x].size();i++){ Edge& e=edges[G[x][i]]; if(!vis[e.to]&&e.cap>e.flow){ vis[e.to]=1; d[e.to]=d[x]+1; q.push(e.to); } } } return vis[t]; } int DFS(int x,int a){ if(x==t||a==0)return a; int flow=0,f; for(int &i=cur[x];i<G[x].size();i++){ Edge& e=edges[G[x][i]]; if(d[x]+1==d[e.to]&&(f=DFS(e.to,min(a,e.cap-e.flow)))>0){ e.flow+=f; edges[G[x][i]^1].flow-=f; flow+=f; a-=f; if(a==0)break; } } return flow; } int Maxflow(int s,int t){ this->s=s;this->t=t; int flow=0; while(BFS()){ memset(cur,0,sizeof(cur)); flow+=DFS(s,inf); } return flow; } vector<int>Mincut(){ vector<int>ans; for(int i=0;i<edges.size();i++){ Edge& e=edges[i]; if(vis[e.from]&&!vis[e.to]&&e.cap>0)ans.push_back(i); } return ans; } void Reduce(){ for(int i=0;i<edges.size();i++)edges[i].cap-=edges[i].flow; } }g;
int main() { int n,e,c,kase=0; while(scanf("%d%d%d",&n,&e,&c)==3&&n){ g.init(n); while(e--){ int a,b,c; scanf("%d%d%d",&a,&b,&c); g.AddEdge(a-1,b-1,c); } int flow=g.Maxflow(0,n-1); printf("Case %d: ",++kase); if(flow>=c)printf("possiblen"); else{ vector<int>cut=g.Mincut(); g.Reduce(); vector<Edge>ans; for(int i=0;i<cut.size();i++){ Edge& e=g.edges[cut[i]]; e.cap=c; g.ClearFlow(); if(flow+g.Maxflow(0,n-1)>=c)ans.push_back(e); e.cap=0; } if(ans.empty())printf("not possiblen"); else{ sort(ans.begin(),ans.end()); printf("possible option:(%d,%d)", ans[0].from+1, ans[0].to+1); for(int i = 1; i < ans.size(); i++) printf(",(%d,%d)", ans[i].from+1, ans[i].to+1); printf("n"); } } } return 0; }
|
近期评论