結果
問題 | No.2263 Perms |
ユーザー |
|
提出日時 | 2023-04-07 22:15:02 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 52 ms / 2,000 ms |
コード長 | 5,633 bytes |
コンパイル時間 | 2,681 ms |
コンパイル使用メモリ | 221,360 KB |
最終ジャッジ日時 | 2025-02-12 01:37:07 |
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 39 |
ソースコード
#include<bits/stdc++.h>using namespace std;#pragma GCC optimize("Ofast")#define rep(i,n) for(ll i=0;i<n;i++)#define repl(i,l,r) for(ll i=(l);i<(r);i++)#define per(i,n) for(ll i=(n)-1;i>=0;i--)#define perl(i,r,l) for(ll i=r-1;i>=l;i--)#define fi first#define se second#define pb push_back#define ins insert#define pqueue(x) priority_queue<x,vector<x>,greater<x>>#define all(x) (x).begin(),(x).end()#define CST(x) cout<<fixed<<setprecision(x)#define rev(x) reverse(x);using ll=long long;using vl=vector<ll>;using vvl=vector<vector<ll>>;using pl=pair<ll,ll>;using vpl=vector<pl>;using vvpl=vector<vpl>;const ll MOD=1000000007;const ll MOD9=998244353;const int inf=1e9+10;const ll INF=4e18;const ll dy[8]={1,0,-1,0,1,1,-1,-1};const ll dx[8]={0,1,0,-1,1,-1,1,-1};template <typename T> inline bool chmax(T &a, T b) {return ((a < b) ? (a = b, true) : (false));}template <typename T> inline bool chmin(T &a, T b) {return ((a > b) ? (a = b, true) : (false));}//公式Dinic;template <class Cap> struct Dinic{public:Dinic() : _n(0) {}Dinic(int n) : _n(n), g(n) {}int add_edge(int from, int to, Cap cap) {assert(0 <= from && from < _n);assert(0 <= to && to < _n);assert(0 <= cap);int m = int(pos.size());pos.push_back({from, int(g[from].size())});g[from].push_back(_edge{to, int(g[to].size()), cap});g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});return m;}struct edge {int from, to;Cap cap, flow;};edge get_edge(int i) {int m = int(pos.size());assert(0 <= i && i < m);auto _e = g[pos[i].first][pos[i].second];auto _re = g[_e.to][_e.rev];return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};}std::vector<edge> edges() {int m = int(pos.size());std::vector<edge> result;for (int i = 0; i < m; i++) {result.push_back(get_edge(i));}return result;}void change_edge(int i, Cap new_cap, Cap new_flow) {int m = int(pos.size());assert(0 <= i && i < m);assert(0 <= new_flow && new_flow <= new_cap);auto& _e = g[pos[i].first][pos[i].second];auto& _re = g[_e.to][_e.rev];_e.cap = new_cap - new_flow;_re.cap = new_flow;}Cap flow(int s, int t) {return flow(s, t, std::numeric_limits<Cap>::max());}Cap flow(int s, int t, Cap flow_limit) {assert(0 <= s && s < _n);assert(0 <= t && t < _n);std::vector<int> level(_n), iter(_n);queue<int> que;auto bfs = [&]() {std::fill(level.begin(), level.end(), -1);level[s] = 0;while(!que.empty())que.pop();que.push(s);while (!que.empty()) {int v = que.front();que.pop();for (auto e : g[v]) {if (e.cap == 0 || level[e.to] >= 0) continue;level[e.to] = level[v] + 1;if (e.to == t) return;que.push(e.to);}}};auto dfs = [&](auto self, int v, Cap up) {if (v == s) return up;Cap res = 0;int level_v = level[v];for (int& i = iter[v]; i < int(g[v].size()); i++) {_edge& e = g[v][i];if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;Cap d =self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));if (d <= 0) continue;g[v][i].cap += d;g[e.to][e.rev].cap -= d;res += d;if (res == up) break;}return res;};Cap flow = 0;while (flow < flow_limit) {bfs();if (level[t] == -1) break;std::fill(iter.begin(), iter.end(), 0);while (flow < flow_limit) {Cap f = dfs(dfs, t, flow_limit - flow);if (!f) break;flow += f;}}return flow;}std::vector<bool> min_cut(int s) {std::vector<bool> visited(_n);queue<int> que;que.push(s);while (!que.empty()) {int p = que.front();que.pop();visited[p] = true;for (auto e : g[p]) {if (e.cap && !visited[e.to]) {visited[e.to] = true;que.push(e.to);}}}return visited;}private:int _n;struct _edge {int to, rev;Cap cap;};std::vector<std::pair<int, int>> pos;std::vector<std::vector<_edge>> g;};int main(){ll n,m;cin >> n >> m;vvl v(n,vl(n));rep(i,n)rep(j,n)cin >> v[i][j];rep(i,n){ll ret=0;rep(j,n)ret+=v[i][j];if(ret!=m){cout << -1 << endl;return 0;}}rep(j,n){ll ret=0;rep(i,n)ret+=v[i][j];if(ret!=m){cout << -1 << endl;return 0;}}rep(_,m){Dinic<ll> dn(n*2+2);ll s=n*2,t=s+1;rep(i,n){rep(j,n){if(v[i][j])dn.add_edge(i,j+n,1);}}rep(i,n)dn.add_edge(s,i,1);rep(j,n)dn.add_edge(j+n,t,1);ll f=dn.flow(s,t);vl es(n);for(auto p:dn.edges()){if(!p.flow)continue;if(p.from>=n)continue;es[p.from]=p.to-n;v[p.from][p.to-n]--;}rep(i,n)cout << es[i]+1 <<" ";cout << endl;}}