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cf449b.cpp
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74 lines (67 loc) · 1.52 KB
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#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<algorithm>
#include<vector>
#include<queue>
using namespace std;
typedef long long ll;
typedef pair<ll,ll> pii;
const int MAX_N = 100007;
const ll Inf = (ll)1e18;
struct edge {
int b, c;
bool sp;
edge(int b = 0, int c = 0, int sp = false) :b(b),c(c),sp(sp) {
}
};
int n, m, k;
vector<edge> E;
vector<int> neigh[MAX_N];
ll dist[MAX_N];
vector<pii> srt;
void addedge(int a, int b, int c, bool sp) {
neigh[a].push_back(E.size()); E.push_back(edge(b, c, sp));
neigh[b].push_back(E.size()); E.push_back(edge(a, c, sp));
}
int main() {
scanf("%d%d%d", &n, &m, &k);
while (m -- > 0) {
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
addedge(a, b, c, false);
}
for (int i = 0; i < k; ++i) {
int b, c;
scanf("%d%d", &b, &c);
addedge(1, b, c, true);
}
fill(dist, dist + n + 1, Inf);
dist[1] = 0;
priority_queue<pii> Q;Q.push(pii(0, 1));
while (!Q.empty()) {
int v = Q.top().second;
ll d = -Q.top().first; Q.pop();
if (dist[v] != d) continue;
srt.push_back(pii(d, v));
for (int i = 0; i < neigh[v].size(); ++i) {
int e = neigh[v][i];
if (d + E[e].c < dist[E[e].b]) {
dist[E[e].b] = d + E[e].c;
Q.push(pii(-dist[E[e].b], E[e].b));
}
}
}
sort(srt.begin(), srt.end());
for (int i = srt.size() - 1; i > 0; --i) {
int v = srt[i].second;
bool found = false;
for (int j = 0; j < neigh[v].size() && !found; ++j) {
int e = neigh[v][j];
found = !E[e].sp && dist[E[e].b] + E[e].c == dist[v];
}
k -= !found;
}
printf("%d\n", k);
return 0;
}