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 pb push_back
#define int long long
#define nl '\n'
int n;
vector<int> a , b , f;
vector<map<int ,int>> possible_k;
vector<int> dp;
vector<vector<int>> adj;
vector<int> order;
void dfs(int x , int p)
{
order.pb(x);
for(auto u : adj[x])
{
if(u == p)
continue;
dfs(u , x);
}
}
signed main() {
cin>>n;
a.assign(n , 0);
b = a;
f.assign(n + 1 , 0);
adj.assign(n , {});
for(int i = 0 ; i < n ; i++)
cin>>b[i];
int mn = 1e9;
for(int i = 1 ; i <= n;i++)
{
cin>>f[i];
mn = min(mn , f[i]);
}
for(int i = 1 ; i <= n - 1 ; i++)
{
int u , v;
cin>>u>>v;
u-- , v--;
adj[u].pb(v);
adj[v].pb(u);
}
if(n == 1)
{
cout<<mn<<nl;
return 0;
}
dfs(0 , -1);
for(int i = 0 ; i < n ; i++)
a[i] = b[order[i]];
possible_k.assign(n , map<int ,int>());
for(int i = 0 ; i + 1 < n ; i++)
{
int diff = abs(a[i] + 1 - a[i + 1]);
vector<int> vals;
if(diff == 0)
{
for(int j = 1 ; j <= n;j++)
{
vals.pb(j);
}
}
else
{
for(int d = 1 ; d* d <= diff ; d++)
{
if(d * d == diff)
{
vals.pb(d);
}
else if(diff % d == 0)
{
vals.pb(d);
vals.pb(diff/d);
}
}
}
for(auto k : vals)
{
if(possible_k[i].count(k))
continue;
assert(k != 0);
int last = i + 1;
for( ; last < n && (abs(a[last - 1] - a[last] + 1) % k == 0); last++);
for(int j = i; j < last ; j++)
{
possible_k[j][k] = last;
}
}
}
dp.assign(n + 1 , 1e18);
dp[n] = 0;
for(int i = n - 1 ; i >= 0 ; i--)
{
dp[i] = dp[i + 1] + mn;
if(i + 1 < n)
{
for(auto [k , last] : possible_k[i])
{
dp[i] = min(dp[i] , dp[last] + f[k]);
}
}
}
cout<<dp[0]<<nl;
}
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