Submission #1292511

#	Time	Username	Problem	Language	Result	Execution time	Memory
1292511		yf_yusuf	Travelling Merchant (APIO17_merchant)	C++20	0 / 100	1100 ms	132204 KiB

merchant

//```//    YF YUSUF
#include <bits/stdc++.h>
// #include <iostream>
// #include <vector>
// #include <set>
// #include <map>
// #include <algorithm>
// #include <cmath>
// #include <numeric>
// #include <queue>
// #include <stack>
// #include <cassert>
// #include <climits>
// #include <string>
// #include <cstdlib>
// #include <random>
// #include <iomanip>
// #include <ctime>
using namespace std;
#ifdef YF_CHECK
	bool LOCAL = 1;
#else
	#pragma GCC optimize ("unroll-loops")
	#pragma GCC optimize ("inline")
	#pragma GCC optimize ("Ofast")
	#pragma GCC optimize ("O3")
	bool LOCAL = 0;
#endif
using ll   = long long;
using ld   = long double;
using vll  = vector <ll>;
using mll  = map <ll,ll>;
using pll  = pair <ll,ll>;
using vvl  = vector <vll>;
using vpll = vector <pll>;
template<class T>T MIN(T&a,T b){a=min(a,b);return a;}
template<class T>T MAX(T&a,T b){a=max(a,b);return a;}
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define sgr v+v+1,(tl+tr)/2+1,tr
#define sgl v+v,tl,(tl+tr)/2
#define pb push_back
#define ins insert
#define S second
#define F first
mt19937_64 MT(time(0));
ll BP(ll a,ll b,ll mod=1e9+7){
	if(b==0)return 1;
	ll q=BP(a,b/2,mod);
	return ((q*q)%mod*(b%2?a:1ll))%mod;
}
ll f(ll x){return x*(x+1)/2;}
ll dup(ll a,ll b){return (a+b-1)/b;}
ll lcm(ll a,ll b){return a/__gcd(a,b)*b;}
ll invf(ll x){return (-1+sqrt(1+8*x))/2;}
ll lg(ll x){return (x ? 63 - __builtin_clzll(x) : -1);}
const ll  mod=998244353;
const ll  INF=1e18;
const ll  inf=1e9+7;
const ll  N  =1e2+7;
const ll  K  =1e3+7;
ll n, m, k, ns, d[N][N], c[N][N];
vpll g[N];
ll b[N][K], s[N][K];
pll DH(ll x){return {x / ns, x % ns};}
ll H(ll nn,ll kk){return (kk * ns + nn);}
void YF_MAIN(ll TEST){
	cin>>n>>m>>k;
	for(int i=1;i<=n;i++){
		for(int j=1;j<=k;j++)cin>>b[i][j]>>s[i][j];
	}
	for(int i=1;i<=n;i++)
		for(int j=1;j<=n;j++)
			d[i][j] = INF;
	for(int i=1;i<=m;i++){
		ll v, u, w;
		cin>>v>>u>>w;
		MIN(d[v][u], w);
	}
	for(int k=1;k<=n;k++){
		for(int i=1;i<=n;i++){
			for(int j=1;j<=n;j++){
				MIN(d[i][j], d[i][k] + d[k][j]);
			}
		}
	}
	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			for(int q=1;q<=k;q++){
				if(s[j][q] == -1 || b[i][q] == -1)continue;
				MAX(c[i][j], s[j][q] - b[i][q]);
			}
		}
	}
	ll L = 0, R = inf, ans = 0;
	while(L <= R){
		ll mid = (R + L)>>1;
		bool can = 0;
		for(int st=1; st<=n; st++){
			ll s=st;
			priority_queue <pll> q;
			vector<ll> D(n+1,-INF),p(n+1,0);
			D[s]=0;
			q.push({0,s});
			int cnt = 0;
			bool out = (mid <= 10);
			while(q.size()){
				auto [dist,v] = q.top();
				q.pop();
				// if(out)cout<<dist<<" "<<v<<" : ";
				for(int to=1; to<=n; to++)if(to != v){
					ll csto = D[v] + c[v][to] - mid * d[v][to];
					// if(out)cout<<to<<" "<<csto<<" "<<c[v][to] <<" "<< d[v][to]<<", ";
					if(to == st && csto >= 0){
						can = 1;
						break;
					}
					if(D[to] < csto){
						D[to] = D[v] + c[v][to] - mid * d[v][to];
						q.push({D[to], to});
					}
				}
				// if(out)cout<<"\n";
			}
			// if(out)cout<<mid<<" mid\n\n";
			if(can){
				break;
			}
		}
		if(can) {
			L = mid + 1;
			ans = mid;
		} else {
			R = mid - 1;
		}
	}
	cout<<ans;
}
const bool TECT=0;
const bool FLSH=1;
const ll SN=1e0 + 7; ll SM[SN];
const ll FN=1e0 + 7; ll FACT[FN], inv[FN], FMOD=inf;
ll PNK(ll n,ll k){return FACT[n] *inv[n-k]%FMOD;}
ll CNK(ll n,ll k){return PNK(n,k)*inv[k  ]%FMOD;}
void BEFORE(){
	for(ll i=2;i<SN;i++){
		if(SM[i])continue;
		for(ll j=i;j<SN;j+=i)
			MAX(SM[j],i);
	}
	FACT[0]=inv[0]=1;
	for(int i=1;i<FN;i++){
		FACT[i]=FACT[i-1]*i%FMOD;
		inv[i]=BP(FACT[i],FMOD-2,FMOD);
	}
}
signed main(){
	// freopen(("input.txt"),"r",stdin);freopen(("output.txt"),"w",stdout);
	if(FLSH){
		ios_base::sync_with_stdio(0);
		cout.setf(ios::fixed);
		cout.precision(0);
		cout.tie(0);
		cin.tie(0);
	}
	int TEST=1;
	if(TECT)
		cin>>TEST;
	BEFORE();
	for(int T=1;T<=TEST;T++){
		// cout<<"Case "<<T<<": ";
		YF_MAIN(T);
		cout<<(T==TEST ? "" : "\n");
	}
	return 0;
} 
//   YF YUSUF ```

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