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| 1 | +// ---------------------------------------------------------------------- |
| 2 | +// ██████╗ ██████╗ ██████╗ ███████╗ |
| 3 | +// ██╔════╝██╔═══██╗██╔══██╗██╔════╝ |
| 4 | +// ██║ ██║ ██║██║ ██║█████╗ |
| 5 | +// ██║ ██║ ██║██║ ██║██╔══╝ |
| 6 | +// ╚██████╗╚██████╔╝██████╔╝███████╗ |
| 7 | +// ╚═════╝ ╚═════╝ ╚═════╝ ╚══════╝ |
| 8 | +// ---------------------------------------------------------------------- |
| 9 | +// Prashant'S CP TEMPLATE |
| 10 | +// "Think. Code. Conquer." |
| 11 | +// ---------------------------------------------------------------------- |
| 12 | +#include<iostream> |
| 13 | +#include<vector> |
| 14 | +#include<algorithm> |
| 15 | +#include<unordered_map> |
| 16 | +#include<bit> |
| 17 | +#include<map> |
| 18 | +#include<set> |
| 19 | +#include<queue> |
| 20 | +#include<stack> |
| 21 | +#include<string> |
| 22 | +#include<iterator> |
| 23 | +#include<cmath> |
| 24 | +#include<iomanip> |
| 25 | +#include<climits> |
| 26 | +#include<cstdint> |
| 27 | +#include<cstdlib> |
| 28 | +using namespace std; |
| 29 | +#define ll long long |
| 30 | +#define int long long |
| 31 | +#define MOD 1000000007 |
| 32 | +#define pb push_back |
| 33 | +#define all(v) v.begin(),v.end() |
| 34 | +#define rall(v) v.rbegin(),v.rend() |
| 35 | +#define sz(x) (int)(x).size() |
| 36 | +#define srt(v) sort(v.begin(),v.end()) |
| 37 | +#define Rsrt(v) sort(v.begin(),v.end(),greater<int>()) |
| 38 | +#define endl "\n" |
| 39 | +#define F first |
| 40 | +#define S second |
| 41 | +#define vi vector<int> |
| 42 | +#define vc vector<char> |
| 43 | +#define vb vector<bool> |
| 44 | +#define vvi vector<vector<int>> |
| 45 | +#define pii pair<int,int> |
| 46 | +#define umap unordered_map |
| 47 | +#define mii map<int,int> |
| 48 | +#define fr(i,a,b) for(int i=a;i<b;i++) |
| 49 | +#define frr(i,a,b) for(int i=a;i>b;i--) |
| 50 | +#define mxe(v) *max_element(v.begin(),v.end()) |
| 51 | +#define mne(v) *min_element(v.begin(),v.end()) |
| 52 | +class FenwickTree{ |
| 53 | + public: |
| 54 | + vi tree; |
| 55 | + int n; |
| 56 | + FenwickTree(int size){ |
| 57 | + n=size; |
| 58 | + tree.assign(n+1,0); |
| 59 | + } |
| 60 | + void update(int idx,int val){ |
| 61 | + while(idx<=n){ |
| 62 | + tree[idx]+=val; |
| 63 | + idx+=idx&(-idx); |
| 64 | + } |
| 65 | + } |
| 66 | + int query(int idx){ |
| 67 | + int sum=0; |
| 68 | + while(idx>0){ |
| 69 | + sum+=tree[idx]; |
| 70 | + idx-=idx&(-idx); |
| 71 | + } |
| 72 | + return sum; |
| 73 | + } |
| 74 | +}; |
| 75 | +signed main(){ |
| 76 | + ios_base::sync_with_stdio(false); |
| 77 | + cin.tie(NULL); |
| 78 | + int n; |
| 79 | + cin>>n; |
| 80 | + vi a(n); |
| 81 | + fr(i,0,n) cin>>a[i]; |
| 82 | + vi sorted_a=a; |
| 83 | + srt(sorted_a); |
| 84 | + map<int,int> compress; |
| 85 | + fr(i,0,n){ |
| 86 | + compress[sorted_a[i]]=i+1; |
| 87 | + } |
| 88 | + vi compressed(n); |
| 89 | + fr(i,0,n){ |
| 90 | + compressed[i]=compress[a[i]]; |
| 91 | + } |
| 92 | + vi leftGreater(n); |
| 93 | + FenwickTree ft1(n); |
| 94 | + fr(i,0,n){ |
| 95 | + leftGreater[i]=i-ft1.query(compressed[i]); |
| 96 | + ft1.update(compressed[i],1); |
| 97 | + } |
| 98 | + vi rightSmaller(n); |
| 99 | + FenwickTree ft2(n); |
| 100 | + frr(i,n-1,-1){ |
| 101 | + rightSmaller[i]=ft2.query(compressed[i]-1); |
| 102 | + ft2.update(compressed[i],1); |
| 103 | + } |
| 104 | + int answer=0; |
| 105 | + fr(i,0,n){ |
| 106 | + answer+=leftGreater[i]*rightSmaller[i]; |
| 107 | + } |
| 108 | + cout<<answer<<endl; |
| 109 | + return 0; |
| 110 | +} |
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