#include<bits/stdc++.h>
using namespace std;
int main()
{
int N; cin >> N;
vector<int> A(2*N), B(2*N);
for(int i=0; i<2*N; ++i) cin >> A[i];
for(int i=0; i<2*N; ++i) cin >> B[i];
const int INF = 0x3f3f3f3f;
vector<pair<int, int> > dpA(2*N), dpB(2*N); //# of A
dpA[0] = make_pair(1, 1);
dpB[0] = make_pair(0, 0);
for(int i=0; i<2*N-1; ++i)
{
int mina = INF, maxa = -INF, minb = INF, maxb = -INF;
auto [al, ar] = dpA[i]; auto[bl, br] = dpB[i];
if(al != -1)
{
if(A[i] <= A[i+1])
mina = min(mina, al+1), maxa = max(maxa, ar+1);
if(A[i] <= B[i+1])
minb = min(minb, al), maxb = max(maxb, ar);
}
if(bl != -1)
{
if(B[i] <= A[i+1])
mina = min(mina, bl+1), maxa = max(maxa, br+1);
if(B[i] <= B[i+1])
minb = min(minb, bl), maxb = max(maxb, br);
}
if(mina > maxa) mina = maxa = -1;
if(minb > maxb) minb = maxb = -1;
dpA[i+1] = make_pair(mina, maxa);
dpB[i+1] = make_pair(minb, maxb);
}
bool a; int b = 2*N-1, c = N;
if(dpA[2*N-1].first <= N && N <= dpA[2*N-1].second)
a = true;
else if(dpB[2*N-1].first <= N && N <= dpB[2*N-1].second)
a = false;
else
{
puts("-1"); return 0;
}
string s;
if(a) s = "A", c=N-1; else s = "B";
while(b)
{
if(a)
{
if(A[b] >= A[b-1] && dpA[b-1].first != -1 && dpA[b-1].first <= c && c <= dpA[b-1].second)
{
s += "A";
a = true; b = b-1; c = c-1;
}
else
{
s += "B";
a = false; b = b-1; c = c;
}
}
else
{
if(B[b] >= A[b-1] && dpA[b-1].first != -1 && dpA[b-1].first <= c && c <= dpA[b-1].second)
{
s += "A";
a = true; b = b-1; c = c-1;
}
else
{
s += "B";
a = false; b = b-1; c=c;
}
}
}
reverse(s.begin(), s.end());
puts(s.c_str());
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
9 ms |
512 KB |
Output is correct |
7 |
Correct |
9 ms |
384 KB |
Output is correct |
8 |
Correct |
9 ms |
384 KB |
Output is correct |
9 |
Correct |
9 ms |
384 KB |
Output is correct |
10 |
Correct |
9 ms |
384 KB |
Output is correct |
11 |
Correct |
9 ms |
384 KB |
Output is correct |
12 |
Correct |
10 ms |
512 KB |
Output is correct |
13 |
Correct |
10 ms |
384 KB |
Output is correct |
14 |
Correct |
10 ms |
512 KB |
Output is correct |
15 |
Correct |
9 ms |
384 KB |
Output is correct |
16 |
Correct |
9 ms |
384 KB |
Output is correct |
17 |
Correct |
10 ms |
640 KB |
Output is correct |
18 |
Correct |
9 ms |
384 KB |
Output is correct |
19 |
Correct |
10 ms |
384 KB |
Output is correct |
20 |
Correct |
8 ms |
512 KB |
Output is correct |
21 |
Correct |
7 ms |
384 KB |
Output is correct |
22 |
Correct |
7 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
512 KB |
Output is correct |
24 |
Correct |
10 ms |
512 KB |
Output is correct |
25 |
Correct |
8 ms |
256 KB |
Output is correct |
26 |
Correct |
8 ms |
384 KB |
Output is correct |
27 |
Correct |
8 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
384 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
8 ms |
384 KB |
Output is correct |
31 |
Correct |
8 ms |
384 KB |
Output is correct |
32 |
Correct |
7 ms |
384 KB |
Output is correct |
33 |
Correct |
8 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
9 ms |
512 KB |
Output is correct |
6 |
Correct |
9 ms |
512 KB |
Output is correct |
7 |
Correct |
9 ms |
384 KB |
Output is correct |
8 |
Correct |
9 ms |
384 KB |
Output is correct |
9 |
Correct |
9 ms |
384 KB |
Output is correct |
10 |
Correct |
9 ms |
384 KB |
Output is correct |
11 |
Correct |
9 ms |
384 KB |
Output is correct |
12 |
Correct |
10 ms |
512 KB |
Output is correct |
13 |
Correct |
10 ms |
384 KB |
Output is correct |
14 |
Correct |
10 ms |
512 KB |
Output is correct |
15 |
Correct |
9 ms |
384 KB |
Output is correct |
16 |
Correct |
9 ms |
384 KB |
Output is correct |
17 |
Correct |
10 ms |
640 KB |
Output is correct |
18 |
Correct |
9 ms |
384 KB |
Output is correct |
19 |
Correct |
10 ms |
384 KB |
Output is correct |
20 |
Correct |
8 ms |
512 KB |
Output is correct |
21 |
Correct |
7 ms |
384 KB |
Output is correct |
22 |
Correct |
7 ms |
512 KB |
Output is correct |
23 |
Correct |
7 ms |
512 KB |
Output is correct |
24 |
Correct |
10 ms |
512 KB |
Output is correct |
25 |
Correct |
8 ms |
256 KB |
Output is correct |
26 |
Correct |
8 ms |
384 KB |
Output is correct |
27 |
Correct |
8 ms |
512 KB |
Output is correct |
28 |
Correct |
7 ms |
384 KB |
Output is correct |
29 |
Correct |
8 ms |
512 KB |
Output is correct |
30 |
Correct |
8 ms |
384 KB |
Output is correct |
31 |
Correct |
8 ms |
384 KB |
Output is correct |
32 |
Correct |
7 ms |
384 KB |
Output is correct |
33 |
Correct |
8 ms |
384 KB |
Output is correct |
34 |
Correct |
1213 ms |
23428 KB |
Output is correct |
35 |
Correct |
1155 ms |
24112 KB |
Output is correct |
36 |
Correct |
1135 ms |
23728 KB |
Output is correct |
37 |
Correct |
1172 ms |
24244 KB |
Output is correct |
38 |
Correct |
1137 ms |
24240 KB |
Output is correct |
39 |
Correct |
1119 ms |
24368 KB |
Output is correct |
40 |
Correct |
1246 ms |
25836 KB |
Output is correct |
41 |
Correct |
1145 ms |
24752 KB |
Output is correct |
42 |
Correct |
1208 ms |
25136 KB |
Output is correct |
43 |
Correct |
1241 ms |
25964 KB |
Output is correct |
44 |
Correct |
1240 ms |
25964 KB |
Output is correct |
45 |
Correct |
1277 ms |
25964 KB |
Output is correct |
46 |
Correct |
1244 ms |
25964 KB |
Output is correct |
47 |
Correct |
1203 ms |
25964 KB |
Output is correct |
48 |
Correct |
1193 ms |
25964 KB |
Output is correct |
49 |
Correct |
1229 ms |
25964 KB |
Output is correct |
50 |
Correct |
1230 ms |
25964 KB |
Output is correct |
51 |
Correct |
1210 ms |
25964 KB |
Output is correct |
52 |
Correct |
662 ms |
25964 KB |
Output is correct |
53 |
Correct |
679 ms |
25968 KB |
Output is correct |
54 |
Correct |
651 ms |
25964 KB |
Output is correct |
55 |
Correct |
644 ms |
25964 KB |
Output is correct |
56 |
Correct |
1251 ms |
25964 KB |
Output is correct |
57 |
Correct |
1000 ms |
25840 KB |
Output is correct |
58 |
Correct |
1000 ms |
26020 KB |
Output is correct |
59 |
Correct |
993 ms |
25964 KB |
Output is correct |
60 |
Correct |
958 ms |
24368 KB |
Output is correct |
61 |
Correct |
1034 ms |
25964 KB |
Output is correct |
62 |
Correct |
1016 ms |
25580 KB |
Output is correct |
63 |
Correct |
1035 ms |
25964 KB |
Output is correct |
64 |
Correct |
1002 ms |
25136 KB |
Output is correct |
65 |
Correct |
1040 ms |
26020 KB |
Output is correct |