Submission #1260052

#	Time	Username	Problem	Language	Result	Execution time	Memory
1260052		hamanp87	Travelling Merchant (APIO17_merchant)	C++20	100 / 100	48 ms	2116 KiB

merchant

#include<bits/stdc++.h>
using namespace std;
using ll=long long;

//#pragma GCC optimize("03,unroll-loops")
//#pragma GCC target("avx2")
//#pragma GCC target("sse4")

#define all(v) v.begin(),v.end()
#define F first
#define S second
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
//#define randi uniform_int_distribution<long long>
#define damoon(v) v.resize(unique(all(v))-v.begin())
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//randi dist(0,10000000000000000);

typedef pair<int,int> pii;
typedef pair<long long,long long> pll;
typedef pair<int,bool> pib;
typedef pair<long long,bool> plb;
typedef pair<int,pii> pip;
typedef pair<pii,int> ppi;
typedef vector<int> veci;
typedef vector<long long> vecl;
typedef vector<bool> vecb;
typedef vector<pii> vecp;
typedef set<int> seti;
typedef set<long long> setl;
typedef set<pii> setp;
typedef map<int,int> mapii;
typedef map<long long,long long> mapll;
typedef map<int,bool> mapib;
typedef map<long long,bool> maplb;

const int mod=1e9+7,neginf=-1e9;
const ll inf=LLONG_MAX/4;
const double PI=acos(-1);

void solve()
{
    int n,m,k;
    cin>>n>>m>>k;
    vector<vecl> b(n,vecl(k));
    vector<vecl> s(n,vecl(k));
    for(int i=0;i<n;i++)
        for(int j=0;j<k;j++)
            cin>>b[i][j]>>s[i][j];
    vector<vecl> mat(n,vecl(n,inf));
    for(int e=0;e<m;e++)
    {
        int ai,bi;
        ll ci;
        cin>>ai>>bi>>ci;
        ai--;
        bi--;
        mat[ai][bi]=min(mat[ai][bi],ci);
    }

    for(int u=0;u<n;u++)
        for(int i=0;i<n;i++)
            if(mat[i][u]<inf)
                for(int j=0;j<n;j++)
                    if(mat[u][j]<inf)
                        mat[i][j]=min(mat[i][j],mat[i][u]+mat[u][j]);

    vector<vecl> f(n,vecl(n,0));
    for(int i=0;i<n;i++)
    {
        for(int j=0;j<n;j++)
        {
            ll bst=LLONG_MIN/4;
            for(int x=0;x<k;x++)
                if(b[i][x]!=-1 and s[j][x]!=-1)
                    bst=max(bst,s[j][x]-b[i][x]);

            f[i][j]=max(bst,0LL);
        }
    }

    ll L=1,R=1000000000LL,ans=0;
    vector<vecl> dp(n,vecl(n));

    while(L<=R)
    {
        ll mid=(L+R)>>1;

        for(int i=0;i<n;i++)
        {
            for(int j=0;j<n;j++)
            {
                if(mat[i][j]>=inf)
                {
                    ll dis=inf/mid;
                    dp[i][j]=mid*dis-f[i][j];
                }
                else
                {
                    ll dis=min(mat[i][j],inf/mid);
                    dp[i][j]=mid*dis-f[i][j];
                }
            }
        }

        for(int x=0;x<n;x++)
            for(int i=0;i<n;i++)
                for(int j=0;j<n;j++)
                    dp[i][j]=min(dp[i][j],dp[i][x]+dp[x][j]);

        bool is=0;
        for(int i=0;i<n;i++)
        {
            if(dp[i][i]<=0)
            {
                is=1;
                break;
            }
        }

        if(is)
        {
            ans=mid;
            L=mid+1;
        }
        else
        {
            R=mid-1;
        }
    }

    cout<<ans<<"\n";
}

int main()
{
    cin.tie(0);
    cout.tie(0);
    ios_base::sync_with_stdio(false);

    //ifstream fin("in.txt");
    //ofstream fout("out.txt");

    int t=1;
    //cin>>t;
    while(t--)
    {
        solve();
    }
}

• Subtask 1: 12 / 12
• Subtask 2: 21 / 21
• Subtask 3: 33 / 33
• Subtask 4: 34 / 34