Submission #837810

# Submission time Handle Problem Language Result Execution time Memory
837810 2023-08-25T18:01:44 Z MohamedAhmed04 Building 4 (JOI20_building4) C++14
100 / 100
228 ms 42448 KB
#include <bits/stdc++.h>

using namespace std ;

const int MAX = 1e6 + 10 ;

int a[MAX] , b[MAX] ;
int n ;

int take_min[MAX] , take_max[MAX] , take_free[MAX] ;

int taken[MAX] ;

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n ;
	for(int i = 0 ; i < 2*n ; ++i)
		cin>>a[i] ;
	for(int i = 0 ; i < 2*n ; ++i)
		cin>>b[i] ;
	for(int i = 0 ; i < 2*n-1 ; ++i)
	{
		if(min(a[i] , b[i]) > max(a[i+1] , b[i+1]))
			return cout<<-1<<"\n" , 0 ;
		if(min(a[i] , b[i]) > min(a[i+1] , b[i+1]))
			take_max[i+1] = 1 ;
		else if(take_max[i] && max(a[i] , b[i]) > min(a[i+1] , b[i+1]))
			take_max[i+1] = 1 ;
	}
	for(int i = 2*n-1 ; i > 0 ; --i)
	{
		if(max(a[i] , b[i]) < max(a[i-1] , b[i-1]))
			take_min[i-1] = 1 ;
		else if(take_min[i] && min(a[i] , b[i]) < max(a[i-1] , b[i-1]))
			take_min[i-1] = 1 ;
	}
	for(int i = 0 ; i < 2*n ; ++i)
	{
		if(take_max[i] && take_min[i])
			return cout<<-1<<"\n" , 0 ;
		if(take_max[i] || take_min[i])
			continue ;
		take_free[i] = 1 ;
		if(i-1 >= 0 && (min(a[i] , b[i]) < max(a[i-1] , b[i-1]) && !take_min[i-1]))
			take_free[i] = 0 ;
		if(i+1 < 2*n && (max(a[i] , b[i]) > min(a[i+1] , b[i+1]) && !take_max[i+1]))
			take_free[i] = 0 ;
	}
	vector< vector< pair<int , int> > >vp ;
	bool flag = false ;
	int ans = 0 , cnt = 0 ;
	for(int i = 0 ; i < 2*n ; ++i)
	{
		flag &= (!take_free[i] && !take_max[i] && !take_min[i]) ;
		if(take_max[i])
		{
			if(a[i] > b[i])
				ans++ , taken[i] = 0 ;
			else
				ans-- , taken[i] = 1 ;
		}
		else if(take_min[i])
		{
			if(a[i] < b[i])
				ans++ , taken[i] = 0 ;
			else
				ans-- , taken[i] = 1 ;
		}
		else if(take_free[i])
			cnt++ ;
		else
		{
			if(!flag)
				vp.push_back({}) ;
			else
			{
				if(min(a[i] , b[i]) >= max(a[i-1] , b[i-1]))
					vp.push_back({}) ;
			}
			if(a[i] > b[i])
				ans++ , taken[i] = 0 , vp.back().emplace_back(-2 , i) ;
			else
				ans-- , taken[i] = 1 , vp.back().emplace_back(2 , i) ;
			flag = true ;
		}
	}
	for(auto &v2 : vp)
	{
		int Max = 0 , Min = 0 , sum = 0 ;
		for(auto &p : v2)
		{
			sum += p.first ;
			Max = max(Max , sum) , Min = min(Min , sum) ;
		}
		if(ans > 0)
		{
			int a = min(-1 * Min , ans) ;
			if((a & 1))
				a -= (a & 1) ;
			ans -= a ;
			sum = 0 ;
			for(auto &p : v2)
			{
				if(-1 * sum == a)
					break ;
				taken[p.second] ^= 1 ;
				sum += p.first ;
			}
		}
		else
		{
			int a = min(Max , -1 * ans) ;
			if((a & 1))
				a -= (a & 1) ;
			ans += a ;
			sum = 0 ;
			for(auto &p : v2)
			{
				if(sum == a)
					break ;
				taken[p.second] ^= 1 ;
				sum += p.first ;
			}
		}
	}
	for(int i = 0 ; i < 2*n ; ++i)
	{
		if(take_free[i])
		{
			if(ans < 0)
				taken[i] = 0 , ans++ ;
			else
				taken[i] = 1 , ans-- ;
		}
	}
	if(ans != 0)
		return cout<<-1<<"\n" , 0 ;
	for(int i = 0 ; i < 2*n ; ++i)
		cout<<(char)('A' + taken[i]) ;
	cout<<"\n" ;
	return 0 ;
}		
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 352 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 352 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 1 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 144 ms 8072 KB Output is correct
35 Correct 177 ms 19488 KB Output is correct
36 Correct 176 ms 19144 KB Output is correct
37 Correct 180 ms 19508 KB Output is correct
38 Correct 176 ms 22500 KB Output is correct
39 Correct 205 ms 38416 KB Output is correct
40 Correct 199 ms 35352 KB Output is correct
41 Correct 172 ms 23804 KB Output is correct
42 Correct 172 ms 16588 KB Output is correct
43 Correct 192 ms 20924 KB Output is correct
44 Correct 191 ms 21108 KB Output is correct
45 Correct 215 ms 20948 KB Output is correct
46 Correct 184 ms 17088 KB Output is correct
47 Correct 210 ms 42448 KB Output is correct
48 Correct 217 ms 39532 KB Output is correct
49 Correct 228 ms 35456 KB Output is correct
50 Correct 190 ms 20968 KB Output is correct
51 Correct 197 ms 20960 KB Output is correct
52 Correct 144 ms 23396 KB Output is correct
53 Correct 165 ms 23504 KB Output is correct
54 Correct 128 ms 24092 KB Output is correct
55 Correct 132 ms 24904 KB Output is correct
56 Correct 187 ms 25072 KB Output is correct
57 Correct 152 ms 21116 KB Output is correct
58 Correct 173 ms 21400 KB Output is correct
59 Correct 173 ms 26092 KB Output is correct
60 Correct 154 ms 22384 KB Output is correct
61 Correct 171 ms 23680 KB Output is correct
62 Correct 159 ms 23840 KB Output is correct
63 Correct 163 ms 24268 KB Output is correct
64 Correct 164 ms 23208 KB Output is correct
65 Correct 163 ms 24012 KB Output is correct