Submission #891816

#TimeUsernameProblemLanguageResultExecution timeMemory
891816LCJLYGroup Photo (JOI21_ho_t3)C++14
100 / 100
575 ms370656 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << "  " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << "  " << j << " " << #i << "  " << q << " " << #p << endl; 
#define show4(x,y) for(auto it:x) cout << it << " "; cout << #y << endl;
typedef pair<int,int>pii;
typedef pair<pii,pii>pi2;

int prefix[5005][5005]; //pos val
int arr[5005];
int pos[5005];
int n=0;

int query(int l, int r, int val, int val2){
	if(val2<val) return 0;
	if(r<l) return 0; 
	int hold= prefix[r][val2]-prefix[r][val-1]-prefix[l-1][val2]+prefix[l-1][val-1];
	return hold;
}

int memo[5005];
int cost[5005][5005];

int dp(int index){
	if(index==n+1) return 0;
	if(memo[index]!=-1) return memo[index];
	int ans=INT_MAX;
	
	for(int x=index;x<=n;x++){
		
		int add=cost[index][x];
		int take=dp(x+1);
		ans=min(ans,take+add);
	}
	return memo[index]=ans;
}

void solve(){
	cin >> n;
	
	for(int x=1;x<=n;x++){
		cin >> arr[x];
		prefix[x][arr[x]]=1;
		pos[arr[x]]=x;
	}
	
	for(int x=1;x<=n;x++){
		for(int y=1;y<=n;y++){
			prefix[x][y]+=prefix[x-1][y]+prefix[x][y-1]-prefix[x-1][y-1];
		}
	}
	
	for(int x=n;x>=1;x--){
		int counter=0;
		for(int y=x;y>=1;y--){
			counter+=query(1,pos[y],x+1,n);
			counter+=query(pos[y]+1,n,y+1,x);
			cost[y][x]=counter;
			//show3(y,y,x,x,counter,counter);
		}
	}
	
	memset(memo,-1,sizeof(memo));
	cout << dp(1);
	
}

int32_t main(){										
	ios::sync_with_stdio(0);	
	cin.tie(0);
	//freopen("in.txt", "r", stdin);
	int t=1;
	//cin >> t;
	while(t--){
		solve();
	}	
}



		


		
		
	
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