Submission #580969

#TimeUsernameProblemLanguageResultExecution timeMemory
580969Theo830Group Photo (JOI21_ho_t3)C++17
100 / 100
917 ms587880 KiB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1e18+7;
const ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<ll,ii>
#define ull unsigned ll
#define f(i,a,b) for(ll i = a;i < b;i++)
#define pb push_back
#define vll vector<ll>
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
///I hope I will get uprating and don't make mistakes
///I will never stop programming
///sqrt(-1) Love C++
///Please don't hack me
///@TheofanisOrfanou Theo830
///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
///Stay Calm
///Look for special cases
///Beware of overflow and array bounds
///Think the problem backwards
///Training
int main(void){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    ll n;
    cin>>n;
    ll arr[n];
    ll pre[n+1][n+1][3];
    ll pos[n+1];
    f(i,0,n){
        cin>>arr[i];
        pos[arr[i]] = i;
    }
    f(i,0,n+1){
        f(j,0,n+1){
            pre[i][j][0] = pre[i][j][1] = pre[i][j][2] = 0;
        }
    }
    f(i,1,n+1){
        f(j,i+1,n+1){
            pre[i][j][1] = pre[i][j-1][1] + (pos[i] > pos[j]);
        }
    }
    f(j,1,n+1){
        f(i,1,j+1){
            pre[j][i][0] = pre[j][i-1][0] + (pos[i] < pos[j]);
            pre[j][i][2] = pre[j][i-1][2] + (pos[i] > pos[j]);
        }
    }
    ll dp[n+1] = {0};
    for(ll i = n-1;i >= 0;i--){
        dp[i] = 1e18;
        ll sum = 0,sumi = 0;
        f(j,i+1,n+1){
            sum += pre[j][j][0] - pre[j][i][0];
            sumi += pre[j][n][1] - pre[j][j][1];
            sumi -= pre[j][j][2] - pre[j][i][2];
            dp[i] = min(dp[i],dp[j] + sum + sumi);
        }
    }
    cout<<dp[0]<<"\n";
}

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