Submission #661156

#	Time	Username	Problem	Language	Result	Execution time	Memory
661156		KING	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	79 ms	4468 KiB

merchant

#include<bits/stdc++.h>
#define NOT_STONKS ios::sync_with_stdio(false), cin.tie(0), cout.tie(0)
#define int long long

using namespace std;
const int maxn = 100 + 10, maxk = 1e3 + 10; //4e6 + 10; //3e5 + 10;
const int mod = 1e9 + 7, inf = 1e18; //998244353;
typedef long long ll;

ll n, m, k, b[maxn][maxk], s[maxn][maxk], floyd[maxn][maxn], val[maxn][maxn], dis[maxn];
vector< pair<int, int> > G[maxn], adj[maxn];

bool f(ll x) {
    vector< array<ll, 3> > vec;
    fill(dis, dis + maxn, inf);
    dis[1] = 0;
    for (int v = 1; v <= n; v++) {
        for (int u = v + 1; u <= n; u++) {
            vec.push_back({ v, u, (inf / floyd[v][u] < x ? inf : floyd[v][u] * x - val[v][u]) });
            vec.push_back({ u, v, (inf / floyd[u][v] < x ? inf : floyd[u][v] * x - val[u][v]) });
        }
    }

    for (int i = 0; i < n; i++) 
        for (auto [ u, v, w ] : vec) 
            dis[v] = min(dis[v], dis[u] + w);
    for (auto [ u, v, w ] : vec) if (dis[v] > dis[u] + w)
        return true;
    return false;
}

ll tmp[maxn][maxn];
bool morgh(ll x) {
    memset(tmp, 63, sizeof tmp);
    for (int u = 1; u <= n; u++) for (int v = 1; v <= n; v++) if (u != v)
        tmp[u][v] = min(tmp[u][v], (inf / floyd[u][v] < x ? inf : x * floyd[u][v] - val[u][v]));
    for (int k = 1; k <= n; k++) {
        for (int u = 1; u <= n; u++) {
            for (int v = 1; v <= n; v++) {
                tmp[u][v] = min(tmp[u][v], tmp[u][k] + tmp[k][v]);
            }
        }
    }
    for (int i = 1; i <= n; i++) if (tmp[i][i] <= 0)
        return true;
    return false;
}

int32_t main() {
    NOT_STONKS;

    cin >> n >> m >> k;
    for (int i = 1; i <= n; i++) for (int j = 0; j < k; j++) {
        cin >> b[i][j] >> s[i][j];
    }

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

    memset(floyd, 63, sizeof floyd);
    for (int v = 1; v <= n; v++) 
        for (auto [ u, w ] : adj[v])
            floyd[v][u] = min(floyd[v][u], w);

    for (int k = 1; k <= n; k++) 
        for (int v = 1; v <= n; v++) 
            for (int u = 1; u <= n; u++) 
                floyd[v][u] = min(floyd[v][u], floyd[v][k] + floyd[k][u]); 

    for (int v = 1; v <= n; v++) {
        for (int u = v + 1; u <= n; u++) {
            for (int i = 0; i < k; i++) {
                if (s[u][i] != -1 && b[v][i] != -1)
                    val[v][u] = max(val[v][u], s[u][i] - b[v][i]);
                if (s[v][i] != -1 && b[u][i] != -1)
                    val[u][v] = max(val[u][v], s[v][i] - b[u][i]);
            }
        }
    }
     
    ll high = 1e10, low = -1, mid;
    while (high - low > 1) {
        mid = (high + low) >> 1;
        if (morgh(mid)) low = mid;
        else high = mid;
    }
    cout << low; 
    
    return 0;
}

Compilation message (stderr)

merchant.cpp: In function 'bool f(ll)':
merchant.cpp:25:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   25 |         for (auto [ u, v, w ] : vec)
      |                   ^
merchant.cpp:27:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   27 |     for (auto [ u, v, w ] : vec) if (dis[v] > dis[u] + w)
      |               ^
merchant.cpp: In function 'int32_t main()':
merchant.cpp:65:19: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   65 |         for (auto [ u, w ] : adj[v])
      |                   ^

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