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 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()
ll n;
struct node {
ll val;
ll freq;
ll h,pop;
struct node *l;
struct node *r;
};
struct node *root = new node;
ll findPop(struct node *cur){
if(cur==NULL){
return 0;
}
else
return cur->pop;
}
ll findH(struct node *cur){
if(cur==NULL){
return 0;
}
else
return cur->h;
}
struct node * rightRotate(struct node *cur){
struct node *tmp = cur->l;
struct node *tmp2 = tmp->r;
tmp->r = cur;
cur->l = tmp2;
cur->pop = cur->freq+ findPop(cur->l)+findPop(cur->r);
tmp->pop = tmp->freq + findPop(tmp->l)+ findPop(tmp->r);
cur->h = max(findH(cur->l),findH(cur->r)) + 1;
tmp->h = max(findH(tmp->l),findH(tmp->r))+1;
return tmp;
}
struct node * leftRotate(struct node *cur){
struct node *tmp = cur->r;
struct node *tmp2 = tmp->l;
tmp->l = cur;
cur->r = tmp2;
cur->pop = cur->freq+ findPop(cur->l)+findPop(cur->r);
tmp->pop = tmp->freq + findPop(tmp->l)+ findPop(tmp->r);
cur->h = max(findH(cur->l),findH(cur->r)) + 1;
tmp->h = max(findH(tmp->l),findH(tmp->r))+1;
return tmp;
}
struct node * insert(struct node *cur , ll val, ll *sc){
if(cur->val == val){
cur->freq++;
cur->pop++;
(*sc)+=findPop(cur->l);
return cur;
}
else if((cur->val)>val){
if(cur->l==NULL){
struct node *tmp = new node;
tmp->val = val;
tmp->freq = 1;
tmp->h = 1;
tmp->pop = 1;
tmp->l = NULL; tmp->r = NULL;
cur->h = 2;
cur->pop++;
cur->l = tmp;
return cur;
}
cur->l = insert(cur->l, val , sc);
cur->pop = findPop(cur->l)+findPop(cur->r)+cur->freq;
ll x = findH(cur->l);
ll y = findH(cur->r);
cur->h = max(x,y)+1;
if(x-y>1){
cur = rightRotate(cur);
}
if(y-x>1)
cur = leftRotate(cur);
return cur;
}
else{
if(cur->r==NULL){
struct node *tmp = new node;
tmp->val = val;
tmp->freq = 1;
tmp->h = 1;
tmp->pop = 1;
tmp->l = NULL; tmp->r = NULL;
cur->h = 2;
cur->pop++;
cur->r = tmp;
(*sc)+=findPop(cur->l)+cur->freq;
return cur;
}
(*sc) += findPop(cur->l)+cur->freq;
cur->r = insert(cur->r,val,sc);
cur->pop = findPop(cur->l)+findPop(cur->r)+cur->freq;
ll x = findH(cur->l), y = findH(cur->r);
cur->h = max(x,y)+1;
if(x-y>1){
cur = rightRotate(cur);
}
if(y-x>1){
cur = leftRotate(cur);
}
return cur;
}
}
void bst(ll val,ll *arr, ll i){
ll score = 0;
insert(root,val,&score);
arr[i] = score;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin>>n;
ll x;
vi a;
ll left[n], right[n];
for(ll i=0;i<n;i++){
cin>>x;
a.pb(x);
}
root->val = a[0];root->freq = 1; root->pop = 1; root->h = 1;left[0] = 0;root->l = NULL; root->r = NULL;
for(ll i=1;i<n;i++){
bst(a[i], left , i);
}
root->val = a[n-1]; root->freq = 1; root->pop = 1; right[n-1] = 0; root->l = NULL; root->r = NULL;root->h = 1;
for(ll i=n-2;i>=0;i--){
bst(a[i],right,i);
}
ll ans = 0;
for(ll i=0;i<n;i++){
ans += left[i]*right[i];
}
cout<<ans<<"\n";
return 0;
}
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