#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, pair& p){return is >> p.first >> p.second;} template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const pair& p){return os << p.first << " " << p.second;} template ostream& operator << (ostream& os, const vector& vec){for(size_t i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(size_t i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; template class Min_Cost_Flow{ public: struct edge{ int to; int cap; T cost; int rev; }; const T INF; vector> G; Min_Cost_Flow(int n, T inf) : G(n), INF(inf){ } void add_edge(int from, int to, int cap, T cost){ G[from].push_back((edge){to, cap, cost, (int)G[to].size()}); G[to].push_back((edge){from, 0, -cost, (int)G[from].size()-1}); } //min cost : s->t (flow:f) T min_cost_flow(int s, int t, int f){ const int N = G.size(); T cost = 0; vector prev_v(N,-1); vector prev_e(N,-1); vector potantial(N, 0); while(f>0){ //min distance(cost based) search with SPFA vector dist(N, INF); vector cnt(dist.size(), 0); dist[s] = 0; prev_v[s] = s; queue Q; auto my_push = [&](int node){ Q.push(node); cnt[node]++; }; auto my_pop = [&]() -> int{ int ret = Q.front(); cnt[ret]--; Q.pop(); return ret; }; my_push(s); while(!Q.empty()){ int pos = my_pop(); for(int i=0; i new_dist && E.cap > 0){ dist[E.to] = new_dist; prev_v[ E.to ] = pos; prev_e[ E.to ] = i; if(cnt[ E.to ] == 0){ my_push( E.to ); } } } } for(int i=0; i=INF) return -1; //add cost of s->t with flow=d int pos=t; int d=f; while(pos!=s){ int i=prev_v[pos]; int j=prev_e[pos]; pos = i; d = min(d, G[i][j].cap); } pos = t; //cout << t ; while(pos!=s){ int i=prev_v[pos]; int j=prev_e[pos]; G[i][j].cap -= d; G[ G[i][j].to ][ G[i][j].rev ].cap += d; //cost += G[i][j].cost * d; pos = i; //cout << " <- " << pos; } //cout << endl; cost += d * dist[t]; f -= d; //f==0 then end } return cost; } }; int main(){ int n; cin >> n; vector> v(n); cin >> v; Min_Cost_Flow f(n + n + 1 + 2, 1000000000); int source = n+n+1; int sink = source+1; int odd = n+n; f.add_edge(odd, sink, n/3, 0); for(int i=0; i