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- //Nguyen Huu Hoang Minh
- #include <bits/stdc++.h>
- #define sz(x) int(x.size())
- #define all(x) x.begin(),x.end()
- #define reset(x) memset(x, 0,sizeof(x))
- #define pb push_back
- #define mp make_pair
- #define fi first
- #define se second
- #define N 30005
- #define remain(x) if (x > MOD) x -= MOD
- #define ii pair<int, int>
- #define vi vector<int>
- #define vii vector< ii >
- #define bit(x, i) (((x) >> (i)) & 1)
- #define Task "test"
- #define int long long
- using namespace std;
- typedef long double ld;
- int n,m;
- vector<ii> a[N];
- int ds[N], dt[N];
- int fs[N], ft[N];
- void readfile()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);cout.tie(0);
- if (fopen(Task".inp","r"))
- {
- freopen(Task".inp","r",stdin);
- //freopen(Task".out","w",stdout);
- }
- cin >> n >> m;
- for(int i=1; i<=m; i++)
- {
- int u,v,z;
- cin >> u >> v >> z;
- a[u].pb(ii(v,z));
- a[v].pb(ii(u,z));
- }
- }
- void dijkstra()
- {
- priority_queue<ii, vii, greater<ii>> q;
- for(int i=1; i<=n; i++) ds[i] = dt[i] = 99999999999;
- ds[1] = 0;
- fs[1] = 1;
- q.push(ii(0,1));
- while (q.size())
- {
- int u = q.top().se;
- int du = q.top().fi;
- q.pop();
- if (du != ds[u]) continue;
- for(int i=0; i<a[u].size(); i++)
- {
- int v = a[u][i].fi;
- int uv = a[u][i].se;
- if (ds[v] > ds[u] + uv)
- {
- ds[v] = ds[u] + uv;
- fs[v] = fs[u];
- q.push(ii(ds[v],v));
- }
- else if (ds[v] == ds[u] + uv) fs[v] += fs[u];
- }
- }
- dt[n] = 0;
- ft[n] = 1;
- q.push(ii(0,n));
- while (q.size())
- {
- int u = q.top().se;
- int du = q.top().fi;
- q.pop();
- if (du != dt[u]) continue;
- for(int i=0; i<a[u].size(); i++)
- {
- int v = a[u][i].fi;
- int uv = a[u][i].se;
- if (dt[v] > dt[u] + uv)
- {
- dt[v] = dt[u] + uv;
- ft[v] = ft[u];
- q.push(ii(dt[v],v));
- }
- else if (dt[v] == dt[u] + uv) ft[v] += ft[u];
- }
- }
- }
- void proc()
- {
- dijkstra();
- int D = ds[n];
- vector<int> res;
- for(int i=2; i<n; i++)
- {
- if (ds[i] + dt[i] > D || fs[i]*ft[i] < fs[n]) res.pb(i);
- }
- cout << res.size() << '\n';
- for(auto u : res) cout << u << '\n';
- }
- signed main()
- {
- readfile();
- proc();
- return 0;
- }
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