Flight Routes
Hard C++
Key Idea: Solution implementation
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ulli var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
void solve() {
int n,m,k,a,b,c;
cin>>n>>m>>k;
vector<vector<pair<int,int>>> adj(n+1, vector<pair<int,int>>());
rep(i,0,m) {
cin>>a>>b>>c;
adj[a].pb({b,c});
}
// cout<<"hi\n";
priority_queue<pair<int,int>, vector<pair<int,int>>, greater<pair<int,int>>> pq;
pq.push({0,1}); //city, cost
vector<lli> dist(n+1,INT64_MAX);
dist[1] = 0;
int z=0;
vector<int> ans;
while(!pq.empty()) {
pair<int,int> cur = pq.top();
pq.pop();
int curcity = cur.second;
int curcost = cur.first;
// cout<<"from "<<curcity<<" "<<curcost<<endl;
if (curcity == n) {ans.push_back(curcost); dist[n]=INT64_MAX; }
if (ans.size() == k) {break;}
if (curcost > dist[curcity]) {continue;}
for(auto x:adj[curcity]) {
// cout<<"seeing "<<x.first<<" "<<x.second<<endl;
// pq.push({dist[x.first], x.first});
if (dist[x.first] >= curcost + x.second) {
dist[x.first] = curcost + x.second;
// cout<<"added "<<x.first<<" at "<<dist[x.first]<<endl;
pq.push({dist[x.first], x.first});
}
}
// cout<<"hu\n";
}
for(auto x:ans) {cout<<x<<" ";} cout<<endl;
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}