This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#define ar array
#define int long long
const int N = 205, M = 5e4 + 5;
vector<ar<int, 3>> edges[N];
int a[M], b[M], c[M], p[M];
int d[N], par[N], T[N][N], used[N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int n, m; cin>>n>>m;
for(int i=0;i<N;i++){
for(int j=0;j<N;j++){
T[i][j] = 1e10;
} T[i][i] = 0;
}
for(int i=0;i<m;i++){
cin>>a[i]>>b[i]>>c[i]>>p[i];
edges[a[i]].push_back({b[i], c[i], i});
T[a[i]][b[i]] = min(T[a[i]][b[i]], c[i]);
}
for(int k=1;k<=n;k++){
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
T[i][j] = min(T[i][j], T[i][k] + T[k][j]);
}
}
}
vector<int> tot;
auto djk = [&](int u){
for(int i=1;i<=n;i++) d[i] = 1e10;
memset(par, -1, sizeof par);
memset(used, 0, sizeof used);
d[u] = 0;
while(~u){
used[u] = 1;
int p = -1;
for(auto x : edges[u]){
if(d[x[0]] > d[u] + x[1]){
d[x[0]] = d[u] + x[1];
par[x[0]] = x[2];
}
}
for(int i=1;i<=n;i++){
if(used[i]) continue;
if(p == -1 || d[i] < d[p]) p = i;
}
u = p;
}
for(int i=1;i<=n;i++){
if(~par[i]) tot.push_back(par[i]);
}
};
ar<int, 2> D {};
djk(1), D[0] = d[n];
djk(n), D[1] = d[1];
int res = D[0] + D[1];
auto check = [&](int in){
swap(a[in], b[in]);
for(int i=1;i<=n;i++) edges[i].clear();
for(int i=0;i<m;i++){
edges[a[i]].push_back({b[i], c[i], -1});
}
int D = 0;
djk(1), D += d[n];
djk(n), D += d[1];
res = min(res, D + p[in]);
swap(a[in], b[in]);
};
sort(tot.begin(), tot.end());
tot.erase(unique(tot.begin(), tot.end()), tot.end());
vector<int> is(m);
for(auto x : tot){
check(x);
is[x] = 1;
}
for(int i=0;i<m;i++){
if(is[i]) continue;
int st = min(T[1][b[i]] + T[a[i]][n] + c[i], D[0]), ts = min(T[n][b[i]] + c[i] + T[a[i]][1], D[1]);
res = min(res, st + ts + p[i]);
}
if(res >= 1e10) cout<<-1<<"\n";
else cout<<res<<"\n";
}
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