이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
long long dp[100005][5], dist[100005];
vector <pair <int, int>> ke[100005];
pair <long long, long long> f[100005][5];
long long ans = LLONG_MAX;
int n, m, s[5];
struct lmt {
long long cost, sub;
int u, type;
bool operator < (const lmt other) const {
if (cost != other.cost)
return cost > other.cost;
return sub > other.sub;
}
};
priority_queue <lmt> qz;
void dijkstra(int id) {
for (int i = 1; i <= n; i++)
dist[i] = LLONG_MAX;
dist[s[id]] = 0;
priority_queue <pair <long long, int>, vector <pair <long long, int>>, greater <pair <long long, int>>> q;
q.push({0, s[id]});
while (q.size()) {
long long now = q.top().first;
int u = q.top().second;
q.pop();
if (dist[u] != now)
continue;
for (pair <int, int> next : ke[u]) {
int v = next.first;
int w = next.second;
if (dist[v] > now + w) {
dist[v] = now + w;
q.push({dist[v], v});
}
}
}
for (int i = 1; i <= n; i++) {
dp[i][id - 2] = dist[i];
dp[i][2] += dist[i];
}
// ans = dist[s[id ^ 1]];
}
void solve() {
for (int i = 1; i <= n; i++) {
for (int j = 0; j <= 2; j++)
f[i][j] = {LLONG_MAX, dp[i][j]};
}
for (int j = 0; j <= 2; j++) {
f[s[0]][j] = {0, dp[s[0]][j]};
qz.push({0, dp[s[0]][j], s[0], j});
}
while (qz.size()) {
long long val = qz.top().cost;
long long to = qz.top().sub;
int u = qz.top().u;
int type = qz.top().type;
qz.pop();
if (f[u][type].first != val || f[u][type].second != to)
continue;
for (pair <int, int> next : ke[u]) {
int v = next.first;
int w = next.second;
if (val + w < f[v][type].first) {
f[v][type].first = val + w;
f[v][type].second = min(dp[v][type], f[u][type].second);
qz.push({f[v][type].first, f[v][type].second, v, type});
} else if (val + w == f[v][type].first) {
if (f[u][type].second < f[v][type].second) {
f[v][type].second = f[u][type].second;
qz.push({f[v][type].first, f[v][type].second, v, type});
}
}
if (type != 2) {
if (val + w < f[v][2].first) {
f[v][2].first = val + w;
f[v][2].second = f[u][type].second + min(dp[v][type ^ 1], dp[u][type ^ 1]);
qz.push({f[v][2].first, f[v][2].second, v, 2});
} else if (val + w == f[v][2].first) {
if (f[u][type].second + min(dp[v][type ^ 1], dp[u][type ^ 1]) < f[v][2].second) {
f[v][type].second = f[u][type].second + min(dp[v][type ^ 1], dp[u][type ^ 1]);
qz.push({f[v][type].first, f[v][type].second, v, type});
}
}
}
}
}
ans = min(ans, f[s[1]][2].second);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// freopen("TASK.INP", "r", stdin);
// freopen("TASK.OUT", "w", stdout);
cin >> n >> m;
for (int i = 0; i <= 3; i++)
cin >> s[i];
for (int i = 1; i <= m; i++) {
int u, v, c;
cin >> u >> v >> c;
ke[u].push_back({v, c});
ke[v].push_back({u, c});
}
dijkstra(2);
dijkstra(3);
solve();
cout << ans;
return 0;
}
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