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>
#define MAX 100001
#define MOD 1000000007
using namespace std;
typedef long long ll;
ll n,x,y,z,w[MAX],h[MAX],a[MAX];
struct DSU{
vector<int> e;
DSU(int N){e.resize(N+1,-1);}
int get(int x){return (e[x]<0) ? x : e[x]=get(e[x]);}
int size(int x){return w[get(x)];}
bool unite(int x,int y){
x=get(x);
y=get(y);
if(x==y) return false;
if(e[x]>e[y]) swap(x,y);
e[x]+=e[y]; w[x]+=w[y]; w[x]%=MOD; e[y]=x;
return true;
}
};
ll powmod(ll x,ll y,ll mod){
if(y==0){
return 1;
}
ll res=1;
x%=mod;
while(y>0){
if(y%2){
res*=x;
res%=mod;
}
y/=2;
x*=x;
x%=mod;
}
return res;
}
ll inv(ll n,ll mod){
return powmod(n,mod-2,mod);
}
ll mul(ll x,ll y){
return (x*y)%MOD;
}
ll f(ll W,ll H){
ll res=1;
res=mul(res,W);
res=mul(res,W+1);
res=mul(res,H);
res=mul(res,H+1);
res=mul(res,z);
return res;
}
void solve(){
cin >> n;
z=inv(4,MOD);
for(int i=0;i<n;i++){
cin >> h[i];
}
for(int i=0;i<n;i++){
cin >> w[i];
}
vector<array<ll,3>> c;
for(int i=0;i<n;i++){
c.push_back({h[i],w[i],(ll)i});
}
sort(c.rbegin(),c.rend());
ll res=0;
DSU dsu(n);
for(auto x:c){
ll cnt=x[1];
a[x[2]]=1;
if(x[2]-1>=0 && a[x[2]-1]){
y=dsu.size(x[2]-1);
res-=f(y,x[0]);
res=(res+MOD)%MOD;
cnt+=y;
cnt%=MOD;
dsu.unite(x[2],x[2]-1);
}
if(x[2]+1<n && a[x[2]+1]){
y=dsu.size(x[2]+1);
res-=f(y,x[0]);
res=(res+MOD)%MOD;
cnt+=y;
cnt%=MOD;
dsu.unite(x[2],x[2]+1);
}
res+=f(cnt,x[0]);
res%=MOD;
}
cout << res << "\n";
}
int main(){
//freopen("input1.txt","r",stdin);
solve();
}
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