[AtCoder] D - Sum of difference

D - Sum of difference

  • Time : O(nlogn)
  • Space : O(nlogn)
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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;

// constants
const ld PI = 3.14159265358979323846; /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 202020;
const ll mod = 998244353;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;

// macros
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define sz(x) ll((x).size())
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define pneg1 cout<<"-1\n";

// utility functions
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<" ";cout<<"\n";}
//void readf() {freopen("", "rt", stdin);}

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x * y / __gcd(x,y); }
ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

using namespace std;

struct Seg {
ll mi, ma, count, sum;
Seg *l, *r;

Seg(vll& A, ll left, ll right) : mi(A[left]), ma(A[right]), count(0), sum(0), l(nullptr), r(nullptr) {
if(left != right) {
ll m = left + (right - left) / 2;
l = new Seg(A,left,m);
r = new Seg(A,m+1,right);
}
}

ll querySum(ll left, ll right) {
if(left <= mi and ma <= right) return sum;
if(mi > right or ma < left) return 0;
return (l ? l->querySum(left, right) : 0) + (r ? r->querySum(left, right) : 0);
}

ll queryCount(ll left, ll right) {
if(left <= mi and ma <= right) return count;
if(mi > right or ma < left) return 0;
return (l ? l->queryCount(left, right) : 0) + (r ? r->queryCount(left, right) : 0);
}

void update(ll n) {
if(mi <= n and n <= ma) {
sum += n;
count += 1;
if(l) l->update(n);
if(r) r->update(n);
}
}
};

ll solve(vll& A) {
ll res = 0;
vll S = A;
sort(all(S));
S.erase(unique(all(S)), end(S));
Seg* seg = new Seg(S,0,sz(S)-1);

rep(i,0,sz(A)) {
res += A[i] * seg->queryCount(LLONG_MIN, A[i]) - seg->querySum(LLONG_MIN, A[i]);
res += seg->querySum(A[i],LLONG_MAX) - seg->queryCount(A[i],LLONG_MAX) * A[i];
seg->update(A[i]);
}
return res;
}

int main() {
Code By Sumfi

cout.precision(12);

ll tc = 1;
//cin>>tc;
for (ll i = 1; i <= tc; i++) {
ll n;
cin>>n;
vll A(n);
rep(i,0,n) cin>>A[i];
print(solve(A));
}
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/07/09/PS/AtCoder/abc186-d/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.