제출 #319192

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
319192		AmineWeslati	여행하는 상인 (APIO17_merchant)	C++14	100 / 100	102 ms	4324 KiB

merchant

//Never stop trying
/*#pragma GCC target ("avx2")
#pragma GCC optimize ("Ofast")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")*/
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

typedef long long ll;
#define int ll
typedef string str;
typedef double db;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
typedef vector<str> vs;
typedef vector<ld> vd;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)

const int MOD = 1e9 + 7; //998244353
const ll INF = 1e18;
const int MX = 2e5 + 10;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up

template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }

ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

ll random(ll a, ll b){
    return a + rng() % (b - a + 1);
}

#ifndef LOCAL  
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl; 
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;

void IO() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
}

int n, m, x;
ll b[101][1001], s[101][1001];
ll graph[101][101], profit[101][101], graph2[101][101];

void floyd_warshall(ll adj[101][101]) {
    FOR(i, 1, n + 1)
        FOR(j, 1, n + 1)
            FOR(k, 1, n + 1)
                adj[j][k] = min(adj[j][k], adj[j][i] + adj[i][k]);
}

int32_t main() {
    boost; IO();

    cin >> n >> m >> x;
    FOR(i, 1, n + 1) {
        FOR(j, 1, n + 1) graph[i][j] = INF;
        FOR(j, 1, x + 1) cin >> b[i][j] >> s[i][j];
    }
    FOR(i, 0, m) {
        int u, v, w;
        cin >> u >> v >> w;
        graph[u][v] = w;
    }
    floyd_warshall(graph);
    FOR(i, 1, n + 1) FOR(j, 1, n + 1) FOR(k, 1, x + 1) 
        if (s[j][k] != -1 && b[i][k] != -1)
            profit[i][j] = max(profit[i][j], s[j][k] - b[i][k]);

    ll l = 1, r = 1e9;
    while (l <= r) {
        ll mid = (l + r) / 2;
        FOR(i, 1, n + 1) FOR(j, 1, n + 1)
            graph2[i][j] = mid * min(graph[i][j], INF / mid) - profit[i][j];
        floyd_warshall(graph2);
        bool has_nonnegative_cycle = false;
        FOR(i, 1, n + 1) if (graph2[i][i] <= 0) has_nonnegative_cycle = true;
        if (has_nonnegative_cycle) l = mid + 1;
        else r = mid - 1;
    }
    cout << r;

    return 0;
}

/* Careful!!!
    .Array bounds
    .Infinite loops
    .Uninitialized variables / empty containers
    .Multisets are shit

   Some insights:
    .Binary search
    .Graph representation
    .Write brute force code
    .Change your approach
*/

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