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c_cpp
10 months ago
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#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;
}
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