結果
| 問題 |
No.1615 Double Down
|
| ユーザー |
 tko919
|
| 提出日時 | 2023-12-15 02:46:07 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 11,494 bytes |
| コンパイル時間 | 2,512 ms |
| コンパイル使用メモリ | 220,336 KB |
| 最終ジャッジ日時 | 2025-02-18 11:12:59 |
|
ジャッジサーバーID （参考情報） |
judge1 / judge1 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | -- * 3 |
| other | TLE * 1 -- * 53 |
ソースコード
#line 1 "library/Template/template.hpp"
#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(v) (v).begin(),(v).end()
#define UNIQUE(v) sort(ALL(v)),(v).erase(unique(ALL(v)),(v).end())
#define SZ(v) (int)v.size()
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define LB(v,x) int(lower_bound(ALL(v),(x))-(v).begin())
#define UB(v,x) int(upper_bound(ALL(v),(x))-(v).begin())
using ll=long long int;
using ull=unsigned long long;
const int inf = 0x3fffffff;
const ll INF = 0x1fffffffffffffff;
template<typename T>inline bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
template<typename T>inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
template<typename T,typename U>T ceil(T x,U y){assert(y!=0); if(y<0)x=-x,y=-y; return (x>0?(x+y-1)/y:x/y);}
template<typename T,typename U>T floor(T x,U y){assert(y!=0); if(y<0)x=-x,y=-y; return (x>0?x/y:(x-y+1)/y);}
template<typename T>int popcnt(T x){return __builtin_popcountll(x);}
template<typename T>int topbit(T x){return (x==0?-1:63-__builtin_clzll(x));}
template<typename T>int lowbit(T x){return (x==0?-1:__builtin_ctzll(x));}
#line 2 "library/Utility/fastio.hpp"
#include <unistd.h>
class FastIO{
static constexpr int L=1<<16;
char rdbuf[L];
int rdLeft=0,rdRight=0;
inline void reload(){
int len=rdRight-rdLeft;
memmove(rdbuf,rdbuf+rdLeft,len);
rdLeft=0,rdRight=len;
rdRight+=fread(rdbuf+len,1,L-len,stdin);
}
inline bool skip(){
for(;;){
while(rdLeft!=rdRight and rdbuf[rdLeft]<=' ')rdLeft++;
if(rdLeft==rdRight){
reload();
if(rdLeft==rdRight)return false;
}
else break;
}
return true;
}
template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline bool _read(T& x){
if(!skip())return false;
if(rdLeft+20>=rdRight)reload();
bool neg=false;
if(rdbuf[rdLeft]=='-'){
neg=true;
rdLeft++;
}
x=0;
while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
x=x*10+(neg?-(rdbuf[rdLeft++]^48):(rdbuf[rdLeft++]^48));
}
return true;
}
inline bool _read(__int128_t& x){
if(!skip())return false;
if(rdLeft+40>=rdRight)reload();
bool neg=false;
if(rdbuf[rdLeft]=='-'){
neg=true;
rdLeft++;
}
x=0;
while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
x=x*10+(neg?-(rdbuf[rdLeft++]^48):(rdbuf[rdLeft++]^48));
}
return true;
}
inline bool _read(__uint128_t& x){
if(!skip())return false;
if(rdLeft+40>=rdRight)reload();
x=0;
while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
x=x*10+(rdbuf[rdLeft++]^48);
}
return true;
}
template<typename T,enable_if_t<is_floating_point<T>::value,int> =0>inline bool _read(T& x){
if(!skip())return false;
if(rdLeft+20>=rdRight)reload();
bool neg=false;
if(rdbuf[rdLeft]=='-'){
neg=true;
rdLeft++;
}
x=0;
while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){
x=x*10+(rdbuf[rdLeft++]^48);
}
if(rdbuf[rdLeft]!='.')return true;
rdLeft++;
T base=.1;
while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){
x+=base*(rdbuf[rdLeft++]^48);
base*=.1;
}
if(neg)x=-x;
return true;
}
inline bool _read(char& x){
if(!skip())return false;
if(rdLeft+1>=rdRight)reload();
x=rdbuf[rdLeft++];
return true;
}
inline bool _read(string& x){
if(!skip())return false;
for(;;){
int pos=rdLeft;
while(pos<rdRight and rdbuf[pos]>' ')pos++;
x.append(rdbuf+rdLeft,pos-rdLeft);
if(rdLeft==pos)break;
rdLeft=pos;
if(rdLeft==rdRight)reload();
else break;
}
return true;
}
template<typename T>inline bool _read(vector<T>& v){
for(auto& x:v){
if(!_read(x))return false;
}
return true;
}
char wtbuf[L],tmp[50];
int wtRight=0;
inline void _write(const char& x){
if(wtRight>L-32)flush();
wtbuf[wtRight++]=x;
}
inline void _write(const string& x){
for(auto& c:x)_write(c);
}
template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline void _write(T x){
if(wtRight>L-32)flush();
if(x==0){
_write('0');
return;
}
else if(x<0){
_write('-');
if (__builtin_expect(x == std::numeric_limits<T>::min(), 0)) {
switch (sizeof(x)) {
case 2: _write("32768"); return;
case 4: _write("2147483648"); return;
case 8: _write("9223372036854775808"); return;
}
}
x=-x;
}
int pos=0;
while(x!=0){
tmp[pos++]=char((x%10)|48);
x/=10;
}
rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
wtRight+=pos;
}
inline void _write(__int128_t x){
if(wtRight>L-40)flush();
if(x==0){
_write('0');
return;
}
else if(x<0){
_write('-');
x=-x;
}
int pos=0;
while(x!=0){
tmp[pos++]=char((x%10)|48);
x/=10;
}
rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
wtRight+=pos;
}
inline void _write(__uint128_t x){
if(wtRight>L-40)flush();
if(x==0){
_write('0');
return;
}
int pos=0;
while(x!=0){
tmp[pos++]=char((x%10)|48);
x/=10;
}
rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
wtRight+=pos;
}
inline void _write(double x){
ostringstream oss;
oss << fixed << setprecision(15) << double(x);
string s = oss.str();
_write(s);
}
template<typename T>inline void _write(const vector<T>& v){
rep(i,0,v.size()){
if(i)_write(' ');
_write(v[i]);
}
}
public:
FastIO(){}
~FastIO(){flush();}
inline void read(){}
template <typename Head, typename... Tail>inline void read(Head& head,Tail&... tail){
assert(_read(head));
read(tail...);
}
template<bool ln=true,bool space=false>inline void write(){if(ln)_write('\n');}
template <bool ln=true,bool space=false,typename Head, typename... Tail>inline void write(const Head& head,const Tail&... tail){
_write(head);
write<ln,true>(tail...);
if(space)_write(' ');
}
inline void flush(){
fwrite(wtbuf,1,wtRight,stdout);
wtRight=0;
}
};
/**
* @brief Fast IO
*/
#line 3 "sol.cpp"
#line 2 "library/Graph/mincostflow.hpp"
template<typename Flow,typename Cost,bool Maximize=false>class MinCostFlow{
struct ptr{int v_id,e_id;};
struct edge{
int from,to; Flow flow,cap; Cost weight; int rev;
edge(int _f,int _t,Flow _c,Cost _w,int _r)
:from(_f),to(_t),flow(0),cap(_c),weight(_w),rev(_r){}
Flow residual_cap()const{return cap-flow;}
};
int n; vector<vector<edge>> g;
vector<Flow> b,pot; vector<ptr> ptrs;
Cost farthest; vector<Cost> dist; vector<edge*> par;
vector<int> exc,def;
void push(edge& e,Flow amount){
e.flow+=amount; g[e.to][e.rev].flow-=amount;
}
Cost residual_cost(int from,int to,edge& e){
return e.weight+pot[from]-pot[to];
}
bool dual(const Flow& delta){
dist.assign(n,numeric_limits<Cost>::max()); par.assign(n,nullptr);
exc.erase(remove_if(ALL(exc),[&](int v){return b[v]<delta;}),exc.end());
def.erase(remove_if(ALL(def),[&](int v){return b[v]>-delta;}),def.end());
priority_queue<pair<Cost,int>,vector<pair<Cost,int>>,greater<>> pq;
for(auto& v:exc)pq.push({dist[v]=0,v});
farthest=0; int def_cnt=0;
while(!pq.empty()){
auto [d,u]=pq.top(); pq.pop();
if(dist[u]<d)continue;
farthest=d;
if(b[u]<=-delta)def_cnt++;
if(def_cnt>=(int)def.size())break;
for(auto& e:g[u]){
if(e.residual_cap()<delta)continue;
int v=e.to; Cost nd=d+residual_cost(u,v,e);
if(nd>=dist[v])continue;
pq.push({dist[v]=nd,v}); par[v]=&e;
}
}
rep(v,0,n)pot[v]+=min(dist[v],farthest);
return def_cnt>0;
}
void primal(const Flow& delta){
for(auto& t:def){
if(dist[t]>farthest)continue;
Flow f=-b[t]; int v;
for(v=t;par[v]!=nullptr;v=par[v]->from){
chmin(f,par[v]->residual_cap());
}
chmin(f,b[v]); f-=f%delta;
if(f<=0)continue;
for(v=t;par[v]!=nullptr;){
auto& e=*par[v];
push(e,f);
int u=par[v]->from;
if(e.residual_cap()<=0)par[v]=nullptr;
v=u;
}
b[t]+=f; b[v]-=f;
}
}
public:
MinCostFlow(int _n):n(_n),g(_n),b(_n),pot(_n){}
void add_edge(int from,int to,Flow lb,Flow ub,Cost cost){
int f_id=g[from].size(),t_id=(from==to?f_id+1:g[to].size());
g[from].push_back(edge(from,to,ub,Maximize?-cost:cost,t_id));
g[to].push_back(edge(to,from,-lb,Maximize?cost:-cost,f_id));
ptrs.push_back(ptr{from,f_id});
}
void add_supply(int v,Flow amount){b[v]+=amount;}
void add_demand(int v,Flow amount){b[v]-=amount;}
Flow get_pot(int v){return pot[v];}
Flow get_flow(int v){return g[ptrs[v].v_id][ptrs[v].e_id].flow;}
template<typename T=ll>pair<bool,T> run(const Flow& sf=2){
Flow max_flow=1;
for(auto& t:b)chmax(max_flow,abs(t));
for(auto& es:g)for(auto& e:es)chmax(max_flow,abs(e.residual_cap()));
Flow delta=1;
while(delta<max_flow)delta*=sf;
for(;delta;delta/=sf){
for(auto& es:g)for(auto& e:es){
Flow rcap=e.residual_cap();
rcap-=rcap%delta;
Cost rcost=residual_cost(e.from,e.to,e);
if(rcost<0 or rcap<0){
push(e,rcap);
b[e.from]-=rcap; b[e.to]+=rcap;
}
}
rep(v,0,n)if(b[v]!=0){
(b[v]>0?exc:def).push_back(v);
}
while(dual(delta))primal(delta);
}
T res=0;
for(auto& es:g)for(auto& e:es)res+=T(e.flow)*T(e.weight);
res>>=1;
if(exc.empty() and def.empty())return {1,Maximize?-res:res};
else return {0,Maximize?-res:res};
}
};
/**
* @brief Minimum Cost b-flow
*/
#line 5 "sol.cpp"
FastIO io;
int main() {
int n, m, k, L;
io.read(n, m, k, L);
vector<int> x(L), y(L), z(L);
rep(i, 0, L) { io.read(x[i], y[i], z[i]); }
MinCostFlow<ll, ll, 1> buf(n + m + 1);
int S = n + m;
rep(i, 0, n) { buf.add_edge(S, i, 0, 1, 0); }
rep(i, 0, m) { buf.add_edge(n + i, S, 0, 1, 0); }
rep(i, 0, L) { buf.add_edge(x[i] - 1, y[i] - 1 + n, 0, 1, 1 << z[i]); }
auto [_, ret] = buf.run();
io.write(ret);
return 0;
}