Submission #213515

#	Time	Username	Problem	Language	Result	Execution time	Memory
213515		tri	Travelling Merchant (APIO17_merchant)	C++14	0 / 100	85 ms	3448 KiB

merchant

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;

#define pb push_back
#define f first
#define s second

const int MAXN = 105;
const int MAXK = 1005;
const ll INF = 1e10;

ll aM[MAXN][MAXN];

ll trans[2][MAXN][MAXK]; // 0 is buy 1 is sell

ll prof[MAXN][MAXN];

ll agg[MAXN][MAXN];

ll best[MAXN];

int N, M, K;

bool pos(ll ef) {
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            agg[i][j] = prof[i][j] - aM[i][j] * ef;
        }
    }

    fill(best, best + MAXN, 0);

    for (int i = 0; i < N; i++) {
        for (int cV = 0; cV < N; cV++) {
            for (int aV = 0; aV < N; aV++) {
                if (best[aV] < best[cV] + agg[cV][aV]) {
                    best[aV] = best[cV] + agg[cV][aV];
                }
            }
        }
    }

    for (int cV = 0; cV < N; cV++) {
        for (int aV = 0; aV < N; aV++) {
            if (best[aV] <= best[cV] + agg[cV][aV]) {
                return true;
            }
        }
    }
    return false;
}

ll binSearch() {
    ll low = 0;
    ll hi = INF;
    while (low != hi) {
        ll mid = (low + hi + 1) / 2;
        if (pos(mid)) {
            low = mid;
        } else {
            hi = mid - 1;
        }
    }
    return low;
}

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


    cin >> N >> M >> K;
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < K; j++) {
            cin >> trans[0][i][j] >> trans[1][i][j];
            if (trans[0][i][j] == -1) {
                trans[0][i][j] = INF;
            }
            if (trans[1][i][j] == -1) {
                trans[1][i][j] = -INF;
            }
        }
    }

    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            aM[i][j] = INF;
        }
    }

    for (int i = 0; i < M; i++) {
        int u, v;
        ll c;
        cin >> u >> v >> c;
        u--, v--;
        aM[u][v] = c;
    }

    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            for (int k = 0; k < N; k++) {
                if (aM[j][i] + aM[i][k] < aM[j][k]) {
                    aM[j][k] = aM[j][i] + aM[i][k];
                }
            }
        }
    }

    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            ll cM = 0;
            for (int k = 0; k < K; k++) {
                cM = max(cM, trans[1][j][k] - trans[0][i][k]);
            }
            prof[i][j] = cM;
        }
    }

//    cout << pos(2) << endl;

    ll ans = binSearch();
    cout << ans << endl;
}

• Subtask 1: 0 / 12
• Subtask 2: 0 / 21
• Subtask 3: 0 / 33
• Subtask 4: 0 / 34