#include<bits/stdc++.h>
using namespace std;
const int INF = 2e9;
int n;
int a[1000005];
int b[1000005];
pair<int,int> dp[1000005][2];
pair<int,int> combine(pair<int,int> x, pair<int,int> y)
{
return {min(x.first,y.first), max(x.second,y.second)};
}
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n;
for(int i=1;i<=2*n;i++)
cin>>a[i];
for(int i=1;i<=2*n;i++)
cin>>b[i];
dp[1][0] = {1,1};
dp[1][1] = {0,0};
for(int i=2;i<=2*n;i++)
{
dp[i][0] = {n+1,0};
dp[i][1] = {n+1,0};
if(a[i]>=a[i-1])
{
dp[i][0] = combine(dp[i][0], {dp[i-1][0].first+1, dp[i-1][0].second+1});
}
if(a[i]>=b[i-1])
{
dp[i][0] = combine(dp[i][0], {dp[i-1][1].first+1, dp[i-1][1].second+1});
}
if(b[i]>=a[i-1])
{
dp[i][1] = combine(dp[i][1], dp[i-1][0]);
}
if(b[i]>=b[i-1])
{
dp[i][1] = combine(dp[i][1], dp[i-1][1]);
}
}
if((dp[2*n][0].first<=n && dp[2*n][0].second>=n) || (dp[2*n][1].first<=n && dp[2*n][1].second>=n))
{
int cur = n, ult = INF;
string s = "";
for(int i=2*n;i>0;i--)
{
if(dp[i][0].first<=cur && dp[i][0].second>=cur && a[i] <= ult)
{
ult = a[i];
s.push_back('A');
cur--;
}
else
{
ult = b[i];
s.push_back('B');
}
}
reverse(s.begin(),s.end());
cout<<s;
}
else
cout<<-1;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4700 KB |
Output is correct |
6 |
Correct |
2 ms |
4696 KB |
Output is correct |
7 |
Correct |
3 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4572 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
2 ms |
4700 KB |
Output is correct |
12 |
Correct |
2 ms |
4700 KB |
Output is correct |
13 |
Correct |
2 ms |
4700 KB |
Output is correct |
14 |
Correct |
2 ms |
4568 KB |
Output is correct |
15 |
Correct |
2 ms |
4700 KB |
Output is correct |
16 |
Correct |
2 ms |
4700 KB |
Output is correct |
17 |
Correct |
2 ms |
4700 KB |
Output is correct |
18 |
Correct |
3 ms |
4696 KB |
Output is correct |
19 |
Correct |
2 ms |
4700 KB |
Output is correct |
20 |
Correct |
2 ms |
4444 KB |
Output is correct |
21 |
Correct |
2 ms |
4444 KB |
Output is correct |
22 |
Correct |
2 ms |
4444 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
2 ms |
4700 KB |
Output is correct |
25 |
Correct |
2 ms |
4444 KB |
Output is correct |
26 |
Correct |
2 ms |
4444 KB |
Output is correct |
27 |
Correct |
2 ms |
4576 KB |
Output is correct |
28 |
Correct |
2 ms |
4444 KB |
Output is correct |
29 |
Correct |
2 ms |
4616 KB |
Output is correct |
30 |
Correct |
2 ms |
4444 KB |
Output is correct |
31 |
Correct |
3 ms |
4440 KB |
Output is correct |
32 |
Correct |
3 ms |
4444 KB |
Output is correct |
33 |
Correct |
2 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4440 KB |
Output is correct |
2 |
Correct |
2 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
2 ms |
4700 KB |
Output is correct |
6 |
Correct |
2 ms |
4696 KB |
Output is correct |
7 |
Correct |
3 ms |
4444 KB |
Output is correct |
8 |
Correct |
2 ms |
4700 KB |
Output is correct |
9 |
Correct |
2 ms |
4572 KB |
Output is correct |
10 |
Correct |
2 ms |
4444 KB |
Output is correct |
11 |
Correct |
2 ms |
4700 KB |
Output is correct |
12 |
Correct |
2 ms |
4700 KB |
Output is correct |
13 |
Correct |
2 ms |
4700 KB |
Output is correct |
14 |
Correct |
2 ms |
4568 KB |
Output is correct |
15 |
Correct |
2 ms |
4700 KB |
Output is correct |
16 |
Correct |
2 ms |
4700 KB |
Output is correct |
17 |
Correct |
2 ms |
4700 KB |
Output is correct |
18 |
Correct |
3 ms |
4696 KB |
Output is correct |
19 |
Correct |
2 ms |
4700 KB |
Output is correct |
20 |
Correct |
2 ms |
4444 KB |
Output is correct |
21 |
Correct |
2 ms |
4444 KB |
Output is correct |
22 |
Correct |
2 ms |
4444 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
2 ms |
4700 KB |
Output is correct |
25 |
Correct |
2 ms |
4444 KB |
Output is correct |
26 |
Correct |
2 ms |
4444 KB |
Output is correct |
27 |
Correct |
2 ms |
4576 KB |
Output is correct |
28 |
Correct |
2 ms |
4444 KB |
Output is correct |
29 |
Correct |
2 ms |
4616 KB |
Output is correct |
30 |
Correct |
2 ms |
4444 KB |
Output is correct |
31 |
Correct |
3 ms |
4440 KB |
Output is correct |
32 |
Correct |
3 ms |
4444 KB |
Output is correct |
33 |
Correct |
2 ms |
4444 KB |
Output is correct |
34 |
Correct |
167 ms |
40788 KB |
Output is correct |
35 |
Correct |
157 ms |
41740 KB |
Output is correct |
36 |
Correct |
160 ms |
41232 KB |
Output is correct |
37 |
Correct |
162 ms |
41616 KB |
Output is correct |
38 |
Correct |
154 ms |
41760 KB |
Output is correct |
39 |
Correct |
155 ms |
41072 KB |
Output is correct |
40 |
Correct |
175 ms |
43020 KB |
Output is correct |
41 |
Correct |
168 ms |
41584 KB |
Output is correct |
42 |
Correct |
167 ms |
42308 KB |
Output is correct |
43 |
Correct |
173 ms |
43216 KB |
Output is correct |
44 |
Correct |
176 ms |
43268 KB |
Output is correct |
45 |
Correct |
185 ms |
43400 KB |
Output is correct |
46 |
Correct |
164 ms |
43340 KB |
Output is correct |
47 |
Correct |
175 ms |
42496 KB |
Output is correct |
48 |
Correct |
163 ms |
42284 KB |
Output is correct |
49 |
Correct |
176 ms |
43052 KB |
Output is correct |
50 |
Correct |
186 ms |
42508 KB |
Output is correct |
51 |
Correct |
171 ms |
42568 KB |
Output is correct |
52 |
Correct |
119 ms |
33320 KB |
Output is correct |
53 |
Correct |
119 ms |
33100 KB |
Output is correct |
54 |
Correct |
117 ms |
33208 KB |
Output is correct |
55 |
Correct |
111 ms |
32772 KB |
Output is correct |
56 |
Correct |
165 ms |
43576 KB |
Output is correct |
57 |
Correct |
145 ms |
38988 KB |
Output is correct |
58 |
Correct |
140 ms |
39044 KB |
Output is correct |
59 |
Correct |
137 ms |
38956 KB |
Output is correct |
60 |
Correct |
140 ms |
38276 KB |
Output is correct |
61 |
Correct |
151 ms |
39820 KB |
Output is correct |
62 |
Correct |
140 ms |
39456 KB |
Output is correct |
63 |
Correct |
142 ms |
39496 KB |
Output is correct |
64 |
Correct |
157 ms |
38672 KB |
Output is correct |
65 |
Correct |
141 ms |
39464 KB |
Output is correct |