This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//https://www.instagram.com/_modwwe/
#pragma GCC optimize("Ofast,unroll-loops")
#include<bits/stdc++.h>
#define int long long
#define ll long long
#define down cout<<'\n';
#define debug cout<<" cucuucucuuu",down
#define NHP ios_base::sync_with_stdio(0);cout.tie(0);cin.tie(0);
#define modwwe int t;cin>>t; while(t--)
#define bit(i,j) (i>>j&1)
#define sobit(a) __builtin_popcountll(a)
#define task "test"
#define fin(x) freopen(x".inp","r",stdin)
#define fou(x) freopen(x".ans","w",stdout)
#define pb push_back
#define checktime cerr << (double)clock() / CLOCKS_PER_SEC * 1000 << " ms";
using namespace std;
void phongbeo();
const int inf=1e9;
const int mod2=1e9+7;
const int mod1=998244353;
struct icd
{
long double a;
int b;
};
struct ib
{
int a;
int b;
};
struct ic
{
int a,b,c;
};
struct id
{
int a,b,c,d;
};
struct ie
{
int a,b,c,d,e;
};
int n,m,s1,s2,s4,s3,sf,k,s5,s6,mx,s7,s8,s9,mx2,res,dem2=0,dem=0,s33,dem3,l,r,mid;
int i,s10,s12;
int kk;
int el=29;
main()
{
#ifndef ONLINE_JUDGE
//fin(task),fou(task);
#endif
NHP
/// cin>>s1;
// modwwe
phongbeo();
}
vector<int> v;
int add(int x,int y)
{
if(x+y>=mod2) x-=mod2;
if(x+y<0) x+=mod2;
return x+y;
}
id mer(id a,id b)
{
return {add(a.a,b.a),add(a.b,b.b),add(a.c,b.c),add(a.d,b.d)};
}
struct IT
{
id t[4000001];
int t2[4000001];
int t3[4000001];
void build(int node,int l,int r)
{
t2[node]=1;
t[node]= {0,0,0,0};
t3[node]=0;
if(l==r) return;
int mid=l+r>>1;
build(node<<1,l,mid);
build(node<<1|1,mid+1,r);
}
void ff(int x)
{
for(int i=x*2; i<=x*2+1; i++)
{
if(t2[i]==0) continue;
t[i].a=t[i].a*t2[x]%mod2;
t[i].b=t[i].b*t2[x]%mod2;
t2[i]=t2[i]*t2[x]%mod2;
t3[i]=(t3[i]+t3[x])%mod2;
t[i].c=(t[i].c*t2[x])%mod2;
t[i].d=(t[i].d*t2[x])%mod2;
t[i].c=(t[i].c-(t3[x]*t[i].d)%mod2)%mod2;
}
t2[x]=1;
t3[x]=0;
}
void upd(int node,int l,int r,int l1,int r1,int x)
{
if(l>r1||r<l1||!t2[node]) return;
if(l>=l1&&r<=r1)
{
t[node].b=t[node].b*2%mod2;
t[node].a=t[node].a*2%mod2;
t2[node]=t2[node]*2%mod2;
t[node].c=t[node].c*2%mod2;
t[node].d=t[node].d*2%mod2;
t3[node]+=x;
t[node].c-=(x*t[node].d)%mod2;
t3[node]%=mod2;
t[node].c%=mod2;
return;
}
if(t2[node]!=1||t3[node]!=0) ff(node);
int mid=l+r>>1;
upd(node<<1,l,mid,l1,r1,x);
upd(node<<1|1,mid+1,r,l1,r1,x);
t[node]=mer(t[node<<1],t[node<<1|1]);
}
void upd2(int node,int l,int r,int l1,ib x,int g)
{
if(l==r)
{
t[node].c+=x.a;
t[node].b+=(((g*v[l-1])%mod2)*x.b)%mod2;
t[node].a+=(x.b*v[l-1])%mod2;
t[node].d+=x.b;
t[node].a%=mod2;
t[node].b%=mod2;
t[node].d%=mod2;
t[node].c%=mod2;
return;
}
int mid=l+r>>1;
if(t2[node]!=1||t3[node]!=0) ff(node);
if(l1<=mid) upd2(node<<1,l,mid,l1,x,g);
else upd2(node<<1|1,mid+1,r,l1,x,g);
t[node]=mer(t[node<<1],t[node<<1|1]);
}
void upd3(int node,int l,int r,int l1,int r1,int x)
{
if(l>r1||r<l1||!t2[node]) return;
if(l>=l1&&r<=r1)
{
t[node].c-=(x*t[node].d)%mod2;
t[node].c%=mod2;
t3[node]+=x;
t3[node]%=mod2;
return;
}
int mid=l+r>>1;
if(t2[node]!=1||t3[node]!=0) ff(node);
upd3(node<<1,l,mid,l1,r1,x);
upd3(node<<1|1,mid+1,r,l1,r1,x);
t[node]=mer(t[node<<1],t[node<<1|1]);
}
void del(int node,int l,int r,int l1,int r1)
{
if(l>r1||r<l1||!t2[node]) return;
if(l>=l1&&r<=r1)
{
t2[node]=0;
t[node]= {0,0,0,0};
return;
}
int mid=l+r>>1;
if(t2[node]!=1||t3[node]!=0) ff(node);
del(node<<1,l,mid,l1,r1);
del(node<<1|1,mid+1,r,l1,r1);
t[node]=mer(t[node<<1],t[node<<1|1]);
}
id get(int node,int l,int r,int l1,int r1)
{
if(l>r1||r<l1||!t2[node]) return {0,0,0,0};
if(l>=l1&&r<=r1) return t[node];
int mid=l+r>>1;
if(t2[node]!=1||t3[node]!=0) ff(node);
return mer(get(node<<1,l,mid,l1,r1),get(node<<1|1,mid+1,r,l1,r1));
}
} st;
ib a[500001];
struct ibb{
ib a,b;
}c[500001];
int invf2;
int ipow(int x, int p){
int ret = 1, piv = x;
while(p){
if(p&1) ret *= piv;
piv *= piv;
ret %= mod2;
piv %= mod2;
p >>= 1;
}
return ret;
}
void phongbeo()
{
cin>>n;
for(int i=1; i<=n; i++)
cin>>a[i].a,v.pb(a[i].a);
for(int i=1; i<=n; i++)
cin>>a[i].b,v.pb(a[i].b);
sort(v.begin(),v.end());
v.erase(unique(v.begin(), v.end()), v.end());
m=v.size();
for(int i=1; i<=n; i++)
{
if(a[i].a>a[i].b) swap(a[i].a,a[i].b);
a[i].a=lower_bound(v.begin(),v.end(),a[i].a)-v.begin()+1;
a[i].b=lower_bound(v.begin(),v.end(),a[i].b)-v.begin()+1;
}
st.build(1,1,m);
st.upd2(1,1,m,a[n].b,{-v[a[n].b-1],1},n);
st.upd2(1,1,m,a[n].a,{-v[a[n].a-1],1},n);
st.del(1,1,m,1,a[n].a-1);
c[n].a={0,1};
c[n].b={0,1};
invf2=ipow(2,mod2-2);
for(int i=n-1; i>=1; --i)
{
id x=st.get(1,1,m,1,a[i].a-1);
id x2=st.get(1,1,m,1,a[i].b-1);
st.upd(1,1,m,a[i].b,m,((v[a[i].a-1]+v[a[i].b-1])%mod2*invf2)%mod2);
st.upd3(1,1,m,a[i].a,a[i].b-1,v[a[i].a-1]);
st.del(1,1,m,1,a[i].a-1);
s2=(x.c+x.b-x.a*i)%mod2;
s3=(x2.c+x2.b-x2.a*i)%mod2;
c[i].a={s2,x.d};
c[i].b={s3,x2.d};
if(x.d!=0) st.upd2(1,1,m,a[i].a,{(s2-(v[a[i].a-1]*x.d)%mod2)%mod2,x.d},i);
if(x2.d!=0) st.upd2(1,1,m,a[i].b,{(s3-(v[a[i].b-1]*x2.d)%mod2)%mod2,x2.d},i);
}
s4=0;
for(int i=0;i<=n-1;i++)
{
if(i==0)
{
s4=(s4+c[1].a.a+c[1].b.a)%mod2;
}
else
{
if(i==1)
{
st.build(1,1,m);
st.upd2(1,1,m,a[1].b,{-v[a[1].b-1],1},1);
st.upd2(1,1,m,a[1].a,{-v[a[1].a-1],1},1);
st.del(1,1,m,1,a[1].a-1);
}
else
{
id x=st.get(1,1,m,1,a[i].a-1);
id x2=st.get(1,1,m,1,a[i].b-1);
st.upd(1,1,m,a[i].b,m,((v[a[i].a-1]+v[a[i].b-1])%mod2*invf2)%mod2);
st.upd3(1,1,m,a[i].a,a[i].b-1,v[a[i].a-1]);
st.del(1,1,m,1,a[i].a-1);
s2=(x.c+(x.a*i)%mod2-x.b)%mod2;
s3=(x2.c+(x2.a*i)%mod2-x2.b)%mod2;
if(x.d!=0) st.upd2(1,1,m,a[i].a,{(s2-(v[a[i].a-1]*x.d)%mod2)%mod2,x.d},i);
if(x2.d!=0) st.upd2(1,1,m,a[i].b,{(s3-(v[a[i].b-1]*x2.d)%mod2)%mod2,x2.d},i);
}
id x=st.get(1,1,m,1,a[i+1].a);
s2=(x.c+(x.a*i+x.a)%mod2-x.b)%mod2;
s4=(s4+(x.d*c[i+1].a.a%mod2+s2*c[i+1].a.b%mod2))%mod2;
x=st.get(1,1,m,1,a[i+1].b);
s2=(x.c+(x.a*i+x.a)%mod2-x.b)%mod2;
s4=(s4+x.d*c[i+1].b.a%mod2+s2*c[i+1].b.b%mod2)%mod2;
}
}
cout<<(s4%mod2+mod2)%mod2;
}
Compilation message (stderr)
Main.cpp:51:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
51 | main()
| ^~~~
Main.cpp: In member function 'void IT::build(long long int, long long int, long long int)':
Main.cpp:83:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
83 | int mid=l+r>>1;
| ~^~
Main.cpp: In member function 'void IT::upd(long long int, long long int, long long int, long long int, long long int, long long int)':
Main.cpp:120:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
120 | int mid=l+r>>1;
| ~^~
Main.cpp: In member function 'void IT::upd2(long long int, long long int, long long int, long long int, ib, long long int)':
Main.cpp:139:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
139 | int mid=l+r>>1;
| ~^~
Main.cpp: In member function 'void IT::upd3(long long int, long long int, long long int, long long int, long long int, long long int)':
Main.cpp:156:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
156 | int mid=l+r>>1;
| ~^~
Main.cpp: In member function 'void IT::del(long long int, long long int, long long int, long long int, long long int)':
Main.cpp:171:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
171 | int mid=l+r>>1;
| ~^~
Main.cpp: In member function 'id IT::get(long long int, long long int, long long int, long long int, long long int)':
Main.cpp:182:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
182 | int mid=l+r>>1;
| ~^~
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