#include "shortcut.h"
#include <bits/stdc++.h>
#ifndef EVAL
#include "grader.cpp"
#endif
using namespace std;
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define ub upper_bound
#define lb lower_bound
#define ll long long
//#define int long long
#define ld long double
#define pii pair<int, int>
#define pll pair<ll, ll>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(),x.rend()
#define fastios ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define vll vector<ll>
#define vii vector<int>
#define vpii vector<pii>
#define vpll vector<pll>
#define cnt(a)__builtin_popcount(a)
template<class T> bool umin(T& a, const T& b) {return a > b? a = b, true:false;}
template<class T> bool umax(T& a, const T& b) {return a < b? a = b, true:false;}
const int N = 2e3+5;
const int mod = 1e9+7;
const ll inf = 1e18;
const ld Pi = acos(-1);
int used[N], nn;
ll diam, last;
vpii edges[N];
void djk(){
priority_queue<pii> qq;
qq.push({0, 0});
vll dis(last, inf);
dis[0] = 0;
while(!qq.empty()){
pii cur = qq.top(); qq.pop();
int u = cur.ss;
//cout<<u<<"\n";
if(dis[u] < -cur.ss) continue;
//used[u] = 1;
for(auto x:edges[u]){
//if(used[x.ff]) continue;
if(dis[x.ff] > dis[u] + x.ss){
dis[x.ff] = dis[u] + x.ss;
qq.push({ - dis[x.ff], x.ff});
}
}
}
//for(int i=0;i<last;i++) cout<<dis[i]<<" ";
//cout<<"\n";
int d1 = 0;
vii vv;
for(int i=0;i<last;i++) if(dis[d1] < dis[i]) d1 = i;
for(int i=0;i<last;i++) if(dis[i] == dis[d1]) vv.pb(i);
ll ans = 0;
for(auto x:vv){
int d1 = x;
qq.push({0, d1});
dis.assign(last, inf);
dis[d1] = 0;
while(!qq.empty()){
pii cur = qq.top(); qq.pop();
int u = cur.ss;
//cout<<u<<"\n";
if(dis[u] < -cur.ss) continue;
//used[u] = 1;
for(auto x:edges[u]){
//if(used[x.ff]) continue;
if(dis[x.ff] > dis[u] + x.ss){
dis[x.ff] = dis[u] + x.ss;
qq.push({ - dis[x.ff], x.ff});
}
}
}
//for(int i=0;i < last;i++) cout<<dis[i]<<" ";
//cout<<"\n";
int d2 = 0;
for(int i=0;i<last;i++) if(dis[d2] < dis[i]) d2 = i;
ans = max(ans, dis[d2]);
}
diam = min(ans, diam);
}
/*
4 10
10 20 20
0 40 0 30
9 30
10 10 10 10 10 10 10 10
20 0 30 0 0 40 0 40 0
*/
ll find_shortcut(int n, vector<int> l, vector<int> d, int c){
for(int i=0;i<n-1;i++){
edges[i].pb({i+1, l[i]});
edges[i+1].pb({i, l[i]});
}
last = n;
nn = n;
for(int i=0;i<n;i++){
if(d[i] == 0) continue;
edges[last].pb({i, d[i]});
edges[i].pb({last++, d[i]});
}
//for(int i=0;i<n;i++){
//for(auto x:edges[i]){
//cout<<i<<" "<<x.ff<<" "<<x.ss<<"\n";
//}
//}
diam = inf;
djk();
for(int i=0;i<n;i++){
for(int j=i+1;j<n;j++){
edges[i].pb({j, c});
edges[j].pb({i, c});
djk();
//cout<<i<<" "<<j<<" "<<diam<<"\n______\n";
edges[i].pop_back();
edges[j].pop_back();
}
}
return diam;
}
