Submission #699316

#TimeUsernameProblemLanguageResultExecution timeMemory
699316jiahngGroup Photo (JOI21_ho_t3)C++14
100 / 100
376 ms688 KiB
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
#define int ll
typedef pair<int, int> pi;
typedef vector <int> vi;
typedef vector <pi> vpi;
typedef pair <pi,pi> pipi;
typedef pair<pi, ll> pii;
typedef set <ll> si;
typedef long double ld;
#define f first
#define s second
#define mp make_pair
#define FOR(i,s,e) for(int i=s;i<=int(e);++i)
#define DEC(i,s,e) for(int i=s;i>=int(e);--i)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
#define aFOR(i,x) for (auto i: x)
#define mem(x,i) memset(x,i,sizeof x)
#define fast ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define maxn 1000010
#define INF (ll)1e18
#define MOD 1000000007
typedef pair <vi, int> pvi;
typedef pair <int,pi> ipi;
typedef vector <pii> vpii;
#define DEBUG 0

int N,M;

int A[maxn],B[maxn];
int dp[maxn],fw[maxn];

void upd(int p,int v){
    for (int i=p;i<=N;i+=i&(-i)) fw[i] += v;
}
int qry(int p){
    int ans = 0;
    for (int i=p;i>0;i-=i&(-i)) ans += fw[i];
    return ans;
}

int idx[maxn];
int32_t main(){
    fast;
    cin >> N;
    FOR(i,1,N) cin >> A[i];
    FOR(i,1,N) B[A[i]] = i;
    FOR(x,2,N){
        dp[x] = INF;
        int sm = 0,inv=0;
        FOR(i,1,N) fw[i] = 0;
        int co = 1;
        FOR(i,1,N) if (A[i] <= x) idx[A[i]] = co++;
        DEC(k,x,1){
            inv += (x-k)-qry(B[k]);
            upd(B[k],1);

            sm += idx[k];

            //if (x == 3 && k == 1) cout << "AAA " << sm << ' ' << inv << '\n';
            dp[x] = min(dp[x], dp[k-1] + inv + x*(x+1)/2 - (k-1)*k/2 - sm);
        }
        //cout << dp[x] << ' ';
    }
    //cout << '\n';
    cout << dp[N];
}
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