Untitled

 avatar
unknown
plain_text
2 months ago
2.3 kB
2
Indexable
#pragma GCC optimize "O2"

#include <bits/stdc++.h>

using namespace std;
#define ve vector
#define pb push_back
#define all(a) a.begin(), a.end()
using ll = long long;
using ld = long double;
#define F first
#define S second
#define int ll
using pll = pair<int, int>;
const int inf = 1e18;

template<class A>
istream &operator>>(istream &in, ve<A> &a) {
    for (auto &x : a)
        in >> x;
    return in;
}

template<class A>
ostream &operator<<(ostream &out, ve<A> a) {
    for (auto &x : a)
        out << x << ' ';
    return out << '\n';
}

int32_t main() {
#ifdef DEBUG_Q
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int n, m;
    cin >> n >> m;
    ve<int> r(n);
    for (auto &x : r)
        cin >> x;
    ve<ve<pll>> g(n);
    for (int i = 0; i < m; ++i) {
        int u, v, w;
        cin >> u >> v >> w;
        g[u-1].pb({v-1, w});
        g[v-1].pb({u-1, w});
    }
    ve<int> ind(n);
    iota(all(ind), 0);
    sort(all(ind), [&](int i, int j) -> bool {
        return r[i] > r[j];
    });
    ve<int> used(n), used2(n);
    ve<int> dist(n, inf);
    ve<int> nw_dist(n, inf);
    int pred = -1;
    int timer = 0;
    ve<int> b(n);
    ve<pll> changes;
    for (auto &i : ind) {
        if (r[i] != r[pred]) {
            while (!changes.empty()) {
                auto [d, v] = changes.back();
                dist[v] = min(dist[v], d);
                changes.pop_back();
            }
            pred = i;
        }
        priority_queue<pll ,ve<pll>, greater<>> pq;
        pq.push({0, i});
        timer++;
        while (!pq.empty()) {
            auto [d, v] = pq.top();
            pq.pop();
            if (used[v] == timer)
                continue;
            b[i]++;
            used[v] = timer;
            changes.pb({d, v});
            for (auto &&[u, w] : g[v]) {
                if (d + w < dist[u] && (used2[u] != timer || nw_dist[u] > d + w)) {
                    used2[u] = timer;
                    nw_dist[u] = d + w;
                    pq.push({d + w, u});
                }
            }
        }
    }
    int ans = 0;
    for (auto &x : b)
        ans += x;
    cout << ans;
}
Leave a Comment