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Submission #641811

# Submission time Handle Problem Language Result Execution time Memory
641811 2022-09-17T16:09:35 Z manizare Exam (eJOI20_exam) C++14
100 / 100
 246 ms 392248 KB 
#include<bits/stdc++.h>
 
#define all(a) a.begin(),a.end()
#define pb push_back
#define int long long
using namespace std ;
 
const int maxn = 5002 , maxq = 1e5+10 , mod = 998244353 ,inf = 1e18 ;
int dp[3][maxn][maxn] , n , a[maxq] , b[maxq] , l[maxq] , r[maxq] , c[maxq] , p[maxq]  ;
stack<int> s , t;
set <int > ff; 
int solve(int n){
	map <int , int > m , q  ;
	int cnt = 1 ;
	for(int i = 1; i <= n ; i++){
		m[a[i]] = cnt ;
		p[cnt] = i ;
		cnt++;
	}
	cnt = 1; 
	vector <int> v , last ;
	last.pb(0);
	for(int i = 1; i <= n ; i++){
		last.pb(inf);
		if(m[b[i]] == 0)continue ;
		int ind = p[m[b[i]]] ;
		if(l[ind] < i && r[ind] > i){
			if(q[b[i]] == 0){
				q[b[i]] = cnt ;
              	cnt++;
            }
			v.pb(m[b[i]]);
		}
	}
	int ans = 0 ;
	for(int i = 0; i < v.size() ; i++){
		int x = upper_bound(all(last) , v[i])- last.begin() - 1;
		last[x+1] = min(last[x+1] , v[i]);
		ans = max(x+1 , ans); 
	}
	return ans ;
}
int solve2(int n){
	int dp[maxq];
	memset(dp , 0 , sizeof dp);
	for(int i =1 ; i <= n ; i++){
		if(a[i] != b[1])continue ;
		dp[l[i]+1]++;
		dp[r[i]]--;
	}
	int ans =0  ;
	for(int i =1; i <= n ; i++){
		dp[i] +=dp[i-1] ;
		if(dp[i] !=0 )ans++;
	}
	return ans ;
}


signed main(){
    ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
	cin >>n ;
	for(int i =1 ; i <= n ; i++){
		cin >> a[i];
	}
	for(int i= 1; i <= n ; i++){
		while(s.size() && a[i] >= a[s.top()])s.pop();
		if(s.size() == 0){
			l[i] = 0 ;
		}else{
			l[i] = s.top();
		}
		s.push(i);
	}
	for(int i = n; i >= 1 ; i--){
		while(t.size() && a[i] >= a[t.top()])t.pop();
		if(t.size() == 0){
			r[i] = n+1 ;
		}else{
			r[i] = t.top();
		}
		t.push(i);
	}
	for(int i = 1; i <= n ; i++){
		cin >> b[i] ;
		ff.insert(b[i]);
	//	cout << l[i] << " " << r[i] <<"<-\n";
	}
	if(ff.size() == 1){
		cout << solve2(n) << "\n";
		return 0 ;
	}
	if(n > 5000){
		cout << solve(n) << "\n" ;
		return 0 ;
	}
	for(int i = 1; i <= n ; i++){
		for(int j =1  ; j <= n ; j++){
			dp[0][i][j] = max(dp[0][i-1][j] , dp[1][i-1][j]);
			dp[1][i][j] = max(max(dp[0][i-1][j-1] , dp[1][i-1][j-1])  , dp[1][i][j-1]) + ((j > l[i] && r[i] > j) && a[i] == b[j]) ;
		}
	}
	for(int i = 1; i <= n ; i++){
		for(int j =1 ; j <= n ; j++){
	//		cout << dp[0][i][j]  << " " << dp[1][i][j] << "       ";
		}
	//	cout << "\n";
	}
	cout << max(dp[0][n][n] , dp[1][n][n]) << "\n";
	return 0 ;
}

Compilation message

exam.cpp: In function 'long long int solve(long long int)':
exam.cpp:36:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |  for(int i = 0; i < v.size() ; i++){
      |                 ~~^~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB Output is correct
2 Correct 6 ms 1748 KB Output is correct
3 Correct 14 ms 4572 KB Output is correct
4 Correct 11 ms 4180 KB Output is correct
5 Correct 35 ms 6228 KB Output is correct
6 Correct 15 ms 4532 KB Output is correct
7 Correct 16 ms 4696 KB Output is correct
8 Correct 25 ms 6176 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 5 ms 8276 KB Output is correct
3 Correct 46 ms 79220 KB Output is correct
4 Correct 223 ms 376456 KB Output is correct
5 Correct 230 ms 392176 KB Output is correct
6 Correct 220 ms 392208 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 1108 KB Output is correct
2 Correct 40 ms 6240 KB Output is correct
3 Correct 128 ms 14548 KB Output is correct
4 Correct 128 ms 14544 KB Output is correct
5 Correct 174 ms 18308 KB Output is correct
6 Correct 143 ms 17484 KB Output is correct
7 Correct 133 ms 16952 KB Output is correct
8 Correct 111 ms 13928 KB Output is correct
9 Correct 164 ms 17912 KB Output is correct
10 Correct 131 ms 18452 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 1236 KB Output is correct
10 Correct 1 ms 2516 KB Output is correct
11 Correct 2 ms 2516 KB Output is correct
12 Correct 2 ms 2516 KB Output is correct
13 Correct 2 ms 2516 KB Output is correct
14 Correct 1 ms 2516 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 5 ms 8276 KB Output is correct
9 Correct 46 ms 79220 KB Output is correct
10 Correct 223 ms 376456 KB Output is correct
11 Correct 230 ms 392176 KB Output is correct
12 Correct 220 ms 392208 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 1236 KB Output is correct
16 Correct 1 ms 2516 KB Output is correct
17 Correct 2 ms 2516 KB Output is correct
18 Correct 2 ms 2516 KB Output is correct
19 Correct 2 ms 2516 KB Output is correct
20 Correct 1 ms 2516 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 14 ms 24148 KB Output is correct
23 Correct 2 ms 1236 KB Output is correct
24 Correct 246 ms 391972 KB Output is correct
25 Correct 224 ms 391952 KB Output is correct
26 Correct 227 ms 391940 KB Output is correct
27 Correct 236 ms 392020 KB Output is correct
28 Correct 225 ms 392168 KB Output is correct
29 Correct 240 ms 392248 KB Output is correct
30 Correct 225 ms 392084 KB Output is correct
31 Correct 236 ms 392084 KB Output is correct
32 Correct 235 ms 392188 KB Output is correct