Submission #861695

#TimeUsernameProblemLanguageResultExecution timeMemory
861695wakandaaaVoting Cities (NOI22_votingcity)C++17
100 / 100
67 ms8396 KiB
#include <bits/stdc++.h>

using namespace std;

#define mp make_pair
#define fi first
#define se second
#define all(x) x.begin(), x.end()

#define getbit(x, i) (((x) >> (i)) & 1)
#define bit(x) (1 << (x))
#define popcount __builtin_popcountll

mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
long long rand(long long l, long long r) {
    return l + rd() % (r - l + 1);
}

const int N = 5e3 + 5;
const int mod = 1e9 + 7; // 998244353;
const int lg = 25; // lg + 1
const int inf = 1e9; // INT_MAX;
const long long llinf = 1e18; // LLONG_MAX;

template<class X, class Y>
bool minimize(X &a, Y b) {
    return a > b ? (a = b, true) : false;
}

template<class X, class Y>
bool maximize(X &a, Y b) {
    return a < b ? (a = b, true) : false;
}

template<class X, class Y>
bool add(X &a, Y b) {
    a += b;
    while (a >= mod) a -= mod;
    while (a < 0) a += mod;
    return true;
}

int n, m, k, q;
vector<pair<int, int> > adj[N];
int city[N];

typedef tuple<long long, int, int> node;
long long d[N][32];

void dijkstra() {
    memset(d, 0x3f, sizeof d);
    priority_queue<node, vector<node>, greater<node> > q;

    for (int i = 1; i <= n; ++i) if (city[i]) {
        q.push({0, i, 31});
        d[i][31] = 0;
    }

    while (q.size()) {
        long long u;
        int du, mask;
        tie(du, u, mask) = q.top(); q.pop();


        if (du > d[u][mask])
            continue;

        for (pair<int, int> i : adj[u]) {
            int v, c;
            tie(v, c) = i;

            if (d[u][mask] + c < d[v][mask]) {
                d[v][mask] = d[u][mask] + c;
                q.push({d[v][mask], v, mask});
            }

            for (int i = 1; i <= 5; ++i) if (getbit(mask, i - 1)) {
                int newcost = 1LL * c * (10 - i) / 10;
                int nmask = (mask ^ (1 << (i - 1)));
                if (d[u][mask] + newcost < d[v][nmask]) {
                    d[v][nmask] = d[u][mask] + newcost;
                    q.push({d[v][nmask], v, nmask});
                }
            }
        }
    }
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    // freopen(file".inp", "r",stdin);
    // freopen(file".out", "w",stdout);

    cin >> n >> m >> k;
    for (int i = 1; i <= k; ++i) {
        int x;
        cin >> x;
        ++x;
        city[x] = 1;
    }
    for (int i = 1; i <= m; ++i) {
        int u, v, c;
        cin >> u >> v >> c;
        ++u, ++v;
        adj[v].push_back({u, c});
    }

    dijkstra();

    cin >> q;
    while (q--) {
        int s, p[6];
        cin >> s;
        ++s;
        for (int i = 1; i <= 5; ++i) {
            cin >> p[i];
        }

        long long ans = d[s][31];

        for (int mask = 0; mask < bit(5); ++mask) {
            bool ok = true;
            long long cur = d[s][mask];
            for (int i = 1; i <= 5; ++i) if (getbit(mask, i - 1) == 0) {
                if (p[i] == -1) {
                    cur = d[0][0];
                    break;
                }
                else {
                    cur += p[i];
                }
            }
            if (ok) ans = min(ans, cur);
        }

        if (ans == d[0][0]) ans = -1;
        cout << ans << '\n';
    }

    return 0;
}
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