#include <bits/stdc++.h>
using namespace std;
const int maxn = 4005;
int n;
int a[maxn];
int b[maxn];
bool dp[maxn][maxn][2];
tuple<int, int, int> prv[maxn][maxn][2];
void fastIO()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
int main()
{
fastIO();
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[0][0][0] = true;
dp[0][0][1] = true;
for (int pos = 1; pos <= 2 * n; ++pos)
{
for (int cntA = 0; cntA <= n; ++cntA)
{
if (b[pos] >= b[pos - 1])
{
dp[pos][cntA][1] |= dp[pos - 1][cntA][1];
if (dp[pos - 1][cntA][1] == true)
{
prv[pos][cntA][1] = make_tuple(pos - 1, cntA, 1);
}
}
if (b[pos] >= a[pos - 1])
{
dp[pos][cntA][1] |= dp[pos - 1][cntA][0];
if (dp[pos - 1][cntA][0] == true)
{
prv[pos][cntA][1] = make_tuple(pos - 1, cntA, 0);
}
}
if (a[pos] >= a[pos - 1] && cntA >= 1)
{
dp[pos][cntA][0] |= dp[pos - 1][cntA - 1][0];
if (dp[pos - 1][cntA - 1][0] == true)
{
prv[pos][cntA][0] = make_tuple(pos - 1, cntA - 1, 0);
}
}
if (a[pos] >= b[pos - 1] && cntA >= 1)
{
dp[pos][cntA][0] |= dp[pos - 1][cntA - 1][1];
if (dp[pos - 1][cntA - 1][1] == true)
{
prv[pos][cntA][0] = make_tuple(pos - 1, cntA - 1, 1);
}
}
}
}
bool hasAns = (dp[2 * n][n][0] == true || dp[2 * n][n][1] == true);
if (hasAns == false)
{
cout << -1 << endl;
}
else
{
int pos = 2 * n;
int curr = (dp[2 * n][n][0] == true ? 0 : 1);
int cntA = n;
stack<char> result;
while (pos >= 1)
{
result.push(char(curr + 'A'));
tie(pos, cntA, curr) = prv[pos][cntA][curr];
}
while (!result.empty())
{
cout << result.top();
result.pop();
}
cout << endl;
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4696 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
25 ms |
33384 KB |
Output is correct |
6 |
Correct |
50 ms |
116576 KB |
Output is correct |
7 |
Correct |
33 ms |
110772 KB |
Output is correct |
8 |
Correct |
76 ms |
210988 KB |
Output is correct |
9 |
Correct |
63 ms |
185632 KB |
Output is correct |
10 |
Correct |
57 ms |
190924 KB |
Output is correct |
11 |
Correct |
36 ms |
120536 KB |
Output is correct |
12 |
Correct |
45 ms |
126036 KB |
Output is correct |
13 |
Correct |
44 ms |
123984 KB |
Output is correct |
14 |
Correct |
103 ms |
256336 KB |
Output is correct |
15 |
Correct |
77 ms |
213388 KB |
Output is correct |
16 |
Correct |
71 ms |
168572 KB |
Output is correct |
17 |
Correct |
71 ms |
198992 KB |
Output is correct |
18 |
Correct |
43 ms |
124192 KB |
Output is correct |
19 |
Correct |
45 ms |
125972 KB |
Output is correct |
20 |
Correct |
46 ms |
124256 KB |
Output is correct |
21 |
Correct |
44 ms |
127884 KB |
Output is correct |
22 |
Correct |
100 ms |
255312 KB |
Output is correct |
23 |
Correct |
76 ms |
207668 KB |
Output is correct |
24 |
Correct |
90 ms |
256284 KB |
Output is correct |
25 |
Correct |
64 ms |
187568 KB |
Output is correct |
26 |
Correct |
63 ms |
189012 KB |
Output is correct |
27 |
Correct |
83 ms |
258056 KB |
Output is correct |
28 |
Correct |
49 ms |
152732 KB |
Output is correct |
29 |
Correct |
65 ms |
174188 KB |
Output is correct |
30 |
Correct |
53 ms |
148280 KB |
Output is correct |
31 |
Correct |
59 ms |
165676 KB |
Output is correct |
32 |
Correct |
42 ms |
140836 KB |
Output is correct |
33 |
Correct |
59 ms |
165732 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4696 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
25 ms |
33384 KB |
Output is correct |
6 |
Correct |
50 ms |
116576 KB |
Output is correct |
7 |
Correct |
33 ms |
110772 KB |
Output is correct |
8 |
Correct |
76 ms |
210988 KB |
Output is correct |
9 |
Correct |
63 ms |
185632 KB |
Output is correct |
10 |
Correct |
57 ms |
190924 KB |
Output is correct |
11 |
Correct |
36 ms |
120536 KB |
Output is correct |
12 |
Correct |
45 ms |
126036 KB |
Output is correct |
13 |
Correct |
44 ms |
123984 KB |
Output is correct |
14 |
Correct |
103 ms |
256336 KB |
Output is correct |
15 |
Correct |
77 ms |
213388 KB |
Output is correct |
16 |
Correct |
71 ms |
168572 KB |
Output is correct |
17 |
Correct |
71 ms |
198992 KB |
Output is correct |
18 |
Correct |
43 ms |
124192 KB |
Output is correct |
19 |
Correct |
45 ms |
125972 KB |
Output is correct |
20 |
Correct |
46 ms |
124256 KB |
Output is correct |
21 |
Correct |
44 ms |
127884 KB |
Output is correct |
22 |
Correct |
100 ms |
255312 KB |
Output is correct |
23 |
Correct |
76 ms |
207668 KB |
Output is correct |
24 |
Correct |
90 ms |
256284 KB |
Output is correct |
25 |
Correct |
64 ms |
187568 KB |
Output is correct |
26 |
Correct |
63 ms |
189012 KB |
Output is correct |
27 |
Correct |
83 ms |
258056 KB |
Output is correct |
28 |
Correct |
49 ms |
152732 KB |
Output is correct |
29 |
Correct |
65 ms |
174188 KB |
Output is correct |
30 |
Correct |
53 ms |
148280 KB |
Output is correct |
31 |
Correct |
59 ms |
165676 KB |
Output is correct |
32 |
Correct |
42 ms |
140836 KB |
Output is correct |
33 |
Correct |
59 ms |
165732 KB |
Output is correct |
34 |
Execution timed out |
2076 ms |
405632 KB |
Time limit exceeded |
35 |
Halted |
0 ms |
0 KB |
- |