#include <iostream>
#include <iomanip>
#include <vector>
#include <cmath>
#include <algorithm>
#include <set>
#include <queue>
#include <map>
#include <unordered_map>
#include <stack>
#include <bit>
#include <bitset>
#include <string>
#include <cstring>
#include <iterator>
#include <random>
#define ll long long
#define ld long double
#define inf (ll)(2*1e18)
#define sort(a) sort(a.begin(), a.end())
#define reverse(a) reverse(a.begin(), a.end())
#define pb push_back
#define endl "\n"
using namespace std;
void Dijkstra(ll start, vector<vector<pair<pair<ll, ll>, ll>>>& a, vector<ll>& dis, vector<ll>& prev){
set<pair<ll, ll>> s;
dis[start] = 0;
s.insert({0, start});
while(!s.empty()){
auto [val, x] = *s.begin();
s.erase(s.begin());
for(auto [el, id]: a[x]){
auto [y, w] = el;
if(dis[y] > val + w){
s.erase({dis[y], y});
dis[y] = val + w;
prev[y] = id;
s.insert({dis[y], y});
}
}
}
}
void Dijkstra(ll start, vector<vector<pair<ll, ll>>>& a, vector<ll>& dis){
set<pair<ll, ll>> s;
dis[start] = 0;
s.insert({0, start});
while(!s.empty()){
auto [val, x] = *s.begin();
s.erase(s.begin());
for(auto [y, w]: a[x]){
if(dis[y] > val + w){
s.erase({dis[y], y});
dis[y] = val + w;
s.insert({dis[y], y});
}
}
}
}
ll Dijkstra(ll n, ll start, ll finish, ll id, vector<pair<pair<ll, ll>, pair<ll, ll>>>& c){
vector<vector<ll>> a(n, vector<ll>(n, inf));
for(int i=0;i<c.size();++i){
if(i == id){
// a[c[i].first.second][c[i].first.first] = min(a[c[i].first.second][c[i].first.first], c[i].second.first);
continue;
}
a[c[i].first.first][c[i].first.second] = min(a[c[i].first.first][c[i].first.second], c[i].second.first);
}
vector<ll> dis(n, inf);
vector<bool> visited(n, false);
dis[start] = 0;
for(int i=0;i<n;++i){
ll x=-1, val=inf;
for(int j=0;j<n;++j){
if(dis[j] < val and !visited[j]){
x = j;
val = dis[j];
}
}
if(x == -1) break;
visited[x] = true;
for(int j=0;j<n;++j){
if(dis[j] > a[x][j] + val){
dis[j] = a[x][j] + val;
}
}
}
return dis[finish];
}
void solve(){
ll n, m, i, x, y, w, v, res=inf;
cin>>n>>m;
vector<vector<pair<pair<ll, ll>, ll>>> a(n);
vector<vector<pair<ll, ll>>> b(n);
vector<pair<pair<ll, ll>, pair<ll, ll>>> c(m);
vector<ll> dis(n, inf);
vector<ll> prev(n, -1);
vector<ll> dis2(n, inf);
vector<ll> prev2(n, -1);
vector<ll> dis3(n, inf);
vector<ll> dis4(n, inf);
for(i=0;i<m;++i){
cin>>x>>y>>w>>v;
--x;
--y;
c[i] = {{x, y}, {w, v}};
a[x].pb({{y, w}, i});
b[y].pb({x, w});
}
Dijkstra(0, a, dis, prev);
Dijkstra(n-1, a, dis2, prev2);
Dijkstra(0, b, dis3);
Dijkstra(n-1, b, dis4);
res = min(res, dis[n-1] + dis2[0]);
for(i=0;i<m;++i){
x = c[i].first.first;
y = c[i].first.second;
if(i != prev[y]){
res = min(res, dis[y] + dis4[x] + Dijkstra(n, n-1, 0, i, c) + c[i].second.second + c[i].second.first);
}
if(i != prev2[y]){
res = min(res, dis2[y] + dis3[x] + Dijkstra(n, 0, n-1, i, c) + c[i].second.second + c[i].second.first);
}
if(i != prev[y] and i != prev2[y]){
res = min(res, dis[y] + dis4[x] + dis2[y] + dis3[x] + c[i].second.second + 2*c[i].second.first);
}
}
if(res == inf){
cout<<-1<<endl;
}else{
cout<<res<<endl;
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
srand(time(nullptr));
ll t=1;
// cin>>t;
for(;t>0;--t){
solve();
}
return 0;
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |