#include <bits/stdc++.h> #include <random> #define ll long long int #define pb push_back #define st first #define nd second #define pii pair<int,int> #define mp make_pair #define pll pair<long long,long long> #define ld long double #define ull unsigned long long using namespace std; struct edge { int from, to, cap, flow, index; edge(int from, int to, int cap, int flow, int index): from(from), to(to), cap(cap), flow(flow), index(index) {} }; struct PushRelabel { static const long long INF=1e18; int n; vector<vector<edge> > g; vector<long long> excess; vector<int> height; PushRelabel(int n): n(n), g(n), excess(n), height(n) {} void addEdge(int from, int to, int cap) { g[from].push_back(edge(from, to, cap, 0, g[to].size())); if(from==to) g[from].back().index++; g[to].push_back(edge(to, from, 0, 0, g[from].size()-1)); } void push(edge &e) { int amt=(int)min(excess[e.from], (long long)e.cap - e.flow); if(height[e.from]<=height[e.to] || amt==0) return; e.flow += amt; g[e.to][e.index].flow -= amt; excess[e.to] += amt; excess[e.from] -= amt; } void relabel(int u) { int d=2e5; for(auto &it:g[u]) { if(it.cap-it.flow>0) d=min(d, height[it.to]); } if(d<INF) height[u]=d+1; } vector<int> find_max_height_vertices(int source, int dest) { vector<int> max_height; for(int i=0;i<n;i++) { if(i!=source && i!=dest && excess[i]>0) { if(!max_height.empty() && height[i] > height[max_height[0]]) max_height.clear(); if(max_height.empty() || height[i] == height[max_height[0]]) max_height.push_back(i); } } return max_height; } long long max_flow(int source, int dest) { excess.assign(n, 0); height.assign(n, 0); height[source]=n; excess[source]=INF; for(auto &it:g[source]) push(it); vector<int> current; while(!(current = find_max_height_vertices(source, dest)).empty()) { for(auto i:current) { bool pushed=false; for(auto &e:g[i]) { if(excess[i]==0) break; if(e.cap - e.flow>0 && height[e.from] == height[e.to] + 1) { push(e); pushed=true; } } if(!pushed) { relabel(i); break; } } } long long max_flow=0; for(auto &e:g[source]) max_flow+=e.flow; return max_flow; } }; const int nax = 1e5 + 5; vector<int> adj[nax]; int n, m, k; int ans[nax]; void solve(){ cin >> n >> m >> k; for(int i=1;i<=m;i++){ int x, y; cin >> x >> y; adj[x].pb(y); } for(int l=k+1;l<=n;l++){ for(int r=l;r<=n;r++){ PushRelabel graf(n * 2 + 3); for(int i=1;i<=n;i++){ graf.addEdge(i, i + n, 1); } for(int i=1;i<=k;i++){ graf.addEdge(0, i, 1); } for(int i=l;i<=r;i++){ graf.addEdge(i + n, 2 * n + 1, 1); } for(int i=1;i<=n;i++){ for(int to : adj[i]){ graf.addEdge(i + n, to, 1); } } int c = graf.max_flow(0, 2 * n + 1); ans[c] += 1; } } for(int i=0;i<=k;i++) cout << ans[i] << "\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int tt = 1; // cin >> tt; while(tt--) solve(); return 0; }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 | #include <bits/stdc++.h> #include <random> #define ll long long int #define pb push_back #define st first #define nd second #define pii pair<int,int> #define mp make_pair #define pll pair<long long,long long> #define ld long double #define ull unsigned long long using namespace std; struct edge { int from, to, cap, flow, index; edge(int from, int to, int cap, int flow, int index): from(from), to(to), cap(cap), flow(flow), index(index) {} }; struct PushRelabel { static const long long INF=1e18; int n; vector<vector<edge> > g; vector<long long> excess; vector<int> height; PushRelabel(int n): n(n), g(n), excess(n), height(n) {} void addEdge(int from, int to, int cap) { g[from].push_back(edge(from, to, cap, 0, g[to].size())); if(from==to) g[from].back().index++; g[to].push_back(edge(to, from, 0, 0, g[from].size()-1)); } void push(edge &e) { int amt=(int)min(excess[e.from], (long long)e.cap - e.flow); if(height[e.from]<=height[e.to] || amt==0) return; e.flow += amt; g[e.to][e.index].flow -= amt; excess[e.to] += amt; excess[e.from] -= amt; } void relabel(int u) { int d=2e5; for(auto &it:g[u]) { if(it.cap-it.flow>0) d=min(d, height[it.to]); } if(d<INF) height[u]=d+1; } vector<int> find_max_height_vertices(int source, int dest) { vector<int> max_height; for(int i=0;i<n;i++) { if(i!=source && i!=dest && excess[i]>0) { if(!max_height.empty() && height[i] > height[max_height[0]]) max_height.clear(); if(max_height.empty() || height[i] == height[max_height[0]]) max_height.push_back(i); } } return max_height; } long long max_flow(int source, int dest) { excess.assign(n, 0); height.assign(n, 0); height[source]=n; excess[source]=INF; for(auto &it:g[source]) push(it); vector<int> current; while(!(current = find_max_height_vertices(source, dest)).empty()) { for(auto i:current) { bool pushed=false; for(auto &e:g[i]) { if(excess[i]==0) break; if(e.cap - e.flow>0 && height[e.from] == height[e.to] + 1) { push(e); pushed=true; } } if(!pushed) { relabel(i); break; } } } long long max_flow=0; for(auto &e:g[source]) max_flow+=e.flow; return max_flow; } }; const int nax = 1e5 + 5; vector<int> adj[nax]; int n, m, k; int ans[nax]; void solve(){ cin >> n >> m >> k; for(int i=1;i<=m;i++){ int x, y; cin >> x >> y; adj[x].pb(y); } for(int l=k+1;l<=n;l++){ for(int r=l;r<=n;r++){ PushRelabel graf(n * 2 + 3); for(int i=1;i<=n;i++){ graf.addEdge(i, i + n, 1); } for(int i=1;i<=k;i++){ graf.addEdge(0, i, 1); } for(int i=l;i<=r;i++){ graf.addEdge(i + n, 2 * n + 1, 1); } for(int i=1;i<=n;i++){ for(int to : adj[i]){ graf.addEdge(i + n, to, 1); } } int c = graf.max_flow(0, 2 * n + 1); ans[c] += 1; } } for(int i=0;i<=k;i++) cout << ans[i] << "\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int tt = 1; // cin >> tt; while(tt--) solve(); return 0; } |