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;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define ll long long int
#define vi vector <long long int >
#define pii pair<long long int, long long int>
#define pb push_back
#define pf push_front
#define mod 1000000007
#define ff fflush()
#define mp make_pair
#define vvi vector<vector<ll>>
#define vvpii vector<vector<pair<long long int , long long int >>>
#define vpii vector <pair<long long int , long long int>>
struct node {
ll val,f,h,sub;
struct node *l;
struct node *r;
};
ll freq(struct node *cur){
if(cur==NULL)
return 0;
else
return cur->sub;
}
ll height(struct node *cur){
if(cur==NULL)
return 0;
else
return cur->h;
}
struct node *leftR(struct node *cur){
struct node *y = cur->r->l;
struct node *x = cur->r;
cur->r = y;
cur->sub = freq(cur->l) + freq(cur->r)+cur->f;
cur->h = max(height(cur->l),height(cur->r))+1;
x->l = cur;
x->sub = freq(x->r)+ freq(x->l) + x->f;
x->h = max(height(x->l),height(x->r))+1;
return x;
}
struct node *rightR(struct node *cur){
struct node *y = cur->l->r;
struct node *x = cur->l;
cur->l = y;
cur->sub = freq(cur->l) + freq(cur->r)+cur->f;
cur->h = max(height(cur->l),height(cur->r))+1;
x->r = cur;
x->sub = freq(x->r)+ freq(x->l) + x->f;
x->h = max(height(x->l),height(x->r))+1;
return x;
}
struct node * insert(struct node *cur , ll val , ll * ptr){
if(cur==NULL){
cur = (struct node *)malloc(sizeof(struct node) );
cur->val = val; cur->f = 1; cur->h = 1; cur->sub = 1; cur->l = NULL ; cur->r = NULL;
return cur;
}
if(cur->val==val){
(*ptr) += freq(cur->l);
cur->f++;
cur->sub++;
return cur;
}
else if((cur->val)>val){
cur->sub++;
cur->l = insert(cur->l , val , ptr);
}
else{
cur->sub++;
(*ptr) += freq(cur->l)+cur->f;
cur->r = insert(cur->r , val , ptr);
}
cur->h = max(height(cur->r),height(cur->l))+ 1;
if(height(cur->l)-height(cur->r)>1)
cur = rightR(cur);
else if(height(cur->r)-height(cur->l)>1)
cur = leftR(cur);
return cur;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
ll n;
cin>>n;
ll a[n],c1[n] , c2[n];
for(ll i=0;i<n;i++){
cin>>a[i];
}
struct node *root = NULL;
for(ll i=0;i<n;i++){
ll count = 0;
root = insert(root , a[i], &count);
c1[i] = count;
}
struct node *root1 = NULL;
for(ll i=n-1;i>=0;i--){
ll count = 0;
root1 = insert(root1 , a[i], &count);
c2[i] = count;
}
ll ans = 0;
for(ll i=0;i<n;i++){
// cout<<c1[i]<<" "<<c2[i]<<endl;
ans = ans + c1[i]*c2[i];
}
cout<<ans<<"\n";
return 0;
}
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