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E.cpp
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109 lines (92 loc) · 3.03 KB
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#include <bits/stdc++.h>
#define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; i++)
#define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; i--)
#define REP(i,a) for(int i=0,_a=(a); i<_a; i++)
#define EACH(it,a) for(__typeof(a.begin()) it = a.begin(); it != a.end(); ++it)
#define DEBUG(x) { cout << #x << " = "; cout << (x) << endl; }
#define PR(a,n) { cout << #a << " = "; FOR(_,1,n) cout << a[_] << ' '; cout << endl; }
#define PR0(a,n) { cout << #a << " = "; REP(_,n) cout << a[_] << ' '; cout << endl; }
#define sqr(x) ((x) * (x))
using namespace std;
const int MN = 300111;
struct DSU {
int lab[MN];
void init(int n) {
REP(i,n+1) lab[i] = -1;
}
int getRoot(int u) {
if (lab[u] < 0) return u;
return lab[u] = getRoot(lab[u]);
}
bool merge(int u, int v) {
u = getRoot(u); v = getRoot(v);
if (u == v) return false;
if (lab[u] > lab[v]) swap(u, v);
lab[u] += lab[v];
lab[v] = u;
return true;
}
};
int n, m;
vector< pair<int,int> > ke[MN];
long long d[MN];
int main() {
ios :: sync_with_stdio(false);
while (cin >> n >> m) {
FOR(i,1,n) ke[i].clear();
map< pair<int,int>, int> ids;
FOR(i,1,m) {
int u, v, c; cin >> u >> v >> c;
ke[u].push_back(make_pair(v, c));
ke[v].push_back(make_pair(u, c));
ids[make_pair(u, v)] = i;
ids[make_pair(v, u)] = i;
}
int start; cin >> start;
// Dijkstra
set< pair<long long, int> > s;
FOR(i,1,n) d[i] = 1000111000111000111LL;
d[start] = 0;
s.insert(make_pair(0, start));
while (!s.empty()) {
auto cur = *s.begin(); s.erase(s.begin());
if (cur.first != d[cur.second]) continue;
int u = cur.second;
long long l = cur.first;
for(auto p : ke[u]) {
int v = p.first;
if (d[v] > l + p.second) {
d[v] = l + p.second;
s.insert(make_pair(d[v], v));
}
}
}
// Find tree
vector< pair<long long, int> > vertices;
FOR(i,1,n) {
vertices.push_back(make_pair(d[i], i));
}
sort(vertices.begin(), vertices.end());
long long sum = 0;
vector< int> res;
for(auto p : vertices) {
int u = p.second;
if (u == start) continue;
int best = 1000111000, save = -1;
for(auto e : ke[u]) {
int v = e.first;
if (d[v] + e.second == d[u]) {
if (e.second < best) {
best = e.second;
save = v;
}
}
}
res.push_back(ids[make_pair(u, save)]);
sum += best;
}
cout << sum << endl;
for(int x : res) cout << x << ' '; cout << endl;
}
return 0;
}