Submission #408380

#	Time	Username	Problem	Language	Result	Execution time	Memory
408380		syl123456	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	200 ms	3316 KiB

merchant

#include <bits/stdc++.h>
#define all(i) (i).begin(), (i).end()
#define debug(x) cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl
using namespace std;
template<typename T1, typename T2>
ostream& operator << (ostream &i, pair<T1, T2> j) {
    return i << j.first << ' ' << j.second;
}
template<typename T>
ostream& operator << (ostream &i, vector<T> j) {
    i << '{' << j.size() << ':';
    for (T ii : j) i << ' ' << ii;
    return i << '}';
}
typedef long long ll;
typedef pair<int, int> pi;
const int inf = 1e9 + 1;
signed main() {
    ios::sync_with_stdio(0), cin.tie(0);
    int n, m, k;
    cin >> n >> m >> k;
    vector<vector<int>> b(n, vector<int>(k)), s(n, vector<int>(k));
    for (int i = 0; i < n; ++i) for (int j = 0; j < k; ++j)
        cin >> b[i][j] >> s[i][j];
    vector<vector<int>> dis(n, vector<int>(n, inf));
    for (int i = 0; i < n; ++i) dis[i][i] = 0;
    for (int i = 0; i < m; ++i) {
        int x, y, z;
        cin >> x >> y >> z;
        dis[x - 1][y - 1] = z;
    }
    for (int ii = 0; ii < n; ++ii) for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j)
        dis[i][j] = min(dis[i][j], dis[i][ii] + dis[ii][j]);
    vector<vector<int>> v(n, vector<int>(n, 0));
    for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) for (int ii = 0; ii < k; ++ii)
        if (~s[j][ii] && ~b[i][ii]) v[i][j] = max(v[i][j], s[j][ii] - b[i][ii]);
    int l = 0, r = inf;
    vector<vector<ll>> tmp(n, vector<ll>(n));
    while (l < r - 1) {
        int mid = l + r >> 1;
        for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j)
            tmp[i][j] = v[i][j] - 1ll * mid * dis[i][j];
        bool ok = false;
        for (int ii = 0; ii < n; ++ii) for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) if (dis[i][ii] < inf && dis[ii][j] < inf) {
            if (i == j && i != ii && tmp[i][ii] + tmp[ii][j] >= 0) {
                ok = true;
                goto out;
            }
            tmp[i][j] = max(tmp[i][j], tmp[i][ii] + tmp[ii][j]);
        }
        out:
        if (ok) l = mid;
        else r = mid;
    }
    cout << l;
}
/*
 * 0<x<1e9, 0<=ans<=1e9
 * y/x >= k ? y-kx >= 0
 * 
 * nm all dis
 * logC
 * n^2 v[i][j] = max(s[j][ii] - b[i][ii], all ii) - ans * dis[i][j]
 * n^3 po-cycle
 *
 */

Compilation message (stderr)

merchant.cpp: In function 'int main()':
merchant.cpp:40:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   40 |         int mid = l + r >> 1;
      |                   ~~^~~

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