Submission #404219

#	Time	Username	Problem	Language	Result	Execution time	Memory
404219		wiwiho	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	112 ms	4216 KiB

merchant

#include <bits/stdc++.h>
#include <bits/extc++.h>

#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define tomax(a, b) ((a) = max((a), (b)))
#define tomin(a, b) ((a) = min((a), (b)))
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
    if(pvaspace) b << " "; pvaspace=true;\
    b << pva;\
}\
b << "\n";}

using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;

using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;

const ll MOD = 1000000007;
const ll MAX = 2147483647;

template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
    return o << '(' << p.F << ',' << p.S << ')';
}

ll ifloor(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a < 0) return (a - b + 1) / b;
    else return a / b;
}

ll iceil(ll a, ll b){
    if(b < 0) a *= -1, b *= -1;
    if(a > 0) return (a + b - 1) / b;
    else return a / b;
}

int n, m, K;

vector<vector<ll>> gv, gt;

bool check(ll x){

    vector<vector<ll>> dis(n + 1, vector<ll>(n + 1, 1LL << 60));

    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= n; j++){
            if(gt[i][j] != -1) dis[i][j] = -gv[i][j] + gt[i][j] * x;
        }
    }

    for(int k = 1; k <= n; k++){
        for(int i = 1; i <= n; i++){
            for(int j = 1; j <= n; j++){
                dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
            }
        }
    }

//    cerr << "test " << x << "\n";
//    for(int i =1 ; i <= n; i++) printv(dis[i], cerr);

    ll ans = 1LL << 60;
    for(int i = 1; i <= n; i++) ans = min(ans, dis[i][i]);

    return ans <= 0;
}

int main(){
    StarBurstStream

    cin >> n >> m >> K;
    vector<vector<ll>> buy(n + 1, vector<ll>(K + 1));
    vector<vector<ll>> sell(n + 1, vector<ll>(K + 1));
    gv.resize(n + 1, vector<ll>(n + 1));
    gt.resize(n + 1, vector<ll>(n + 1, MAX));

    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= K; j++){
            cin >> buy[i][j] >> sell[i][j];
        }
    }

    for(int i = 0; i < m; i++){
        int u, v, w;
        cin >> u >> v >> w;
        gt[u][v] = w;
    }

    for(int k = 1; k <= n; k++){
        for(int i = 1; i <= n; i++){
            for(int j = 1; j <= n; j++){
                gt[i][j] = min(gt[i][j], gt[i][k] + gt[k][j]);
            }
        }
    }

    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= n; j++){
            if(gt[i][j] == MAX) continue;
            for(int k = 1; k <= K; k++){
                if(buy[i][k] == -1 || sell[j][k] == -1) continue;
                gv[i][j] = max(gv[i][j], sell[j][k] - buy[i][k]);
            }
        }
    }

//    for(int i = 1; i <= n; i++) printv(gv[i], cerr);

    ll l = 0, r = 1000000000;
    while(l < r){
        ll mid = (l + r + 1) / 2;
        if(check(mid)) l = mid;
        else r = mid - 1;
    }

    cout << l << "\n";

    return 0;
}

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