#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ar array
const int mxN=5e5;
int n, a[2*mxN][2], dp[2*mxN][2][2]; // take a, b, max a, max b
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int j : {0, 1})
for (int i=0; i<2*n; ++i)
cin >> a[i][j];
memset(dp, -1, sizeof(dp));
dp[0][0][0]=1, dp[0][0][1]=0, dp[0][1][1]=1, dp[0][1][0]=0;
for (int i=1; i<2*n; ++i) {
for (int j : {0, 1}) {
for (int k : {0, 1}) {
if (a[i-1][k]<=a[i][j]&&dp[i-1][k][0]!=-1) {
dp[i][j][0]=max(dp[i][j][0], dp[i-1][k][0]+(j==0));
dp[i][j][1]=max(dp[i][j][1], dp[i-1][k][1]+(j==1));
}
}
}
}
for (int x : {0, 1}) {
if (dp[2*n-1][x][0]>=n&&dp[2*n-1][x][1]>=n) {
string ans(2*n, 'A');
int need[2]={n, n};
for (int i=2*n-1, j=x; ~i; --i) {
ans[i]='A'+j;
--need[j];
if (i) {
bool ok=0;
for (int k : {0, 1})
if (a[i-1][k]<=a[i][j]&&dp[i-1][k][0]>=need[0]&&dp[i-1][k][1]>=need[1]) {
j=k;
ok=1;
break;
}
assert(ok);
}
}
cout << ans;
return 0;
}
}
cout << -1;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
15956 KB |
Output is correct |
2 |
Correct |
7 ms |
15956 KB |
Output is correct |
3 |
Correct |
9 ms |
15912 KB |
Output is correct |
4 |
Correct |
8 ms |
15948 KB |
Output is correct |
5 |
Correct |
9 ms |
16036 KB |
Output is correct |
6 |
Correct |
11 ms |
16084 KB |
Output is correct |
7 |
Correct |
8 ms |
16008 KB |
Output is correct |
8 |
Correct |
8 ms |
16084 KB |
Output is correct |
9 |
Correct |
9 ms |
16084 KB |
Output is correct |
10 |
Correct |
7 ms |
16084 KB |
Output is correct |
11 |
Correct |
7 ms |
16020 KB |
Output is correct |
12 |
Correct |
9 ms |
16080 KB |
Output is correct |
13 |
Correct |
8 ms |
16084 KB |
Output is correct |
14 |
Correct |
9 ms |
16072 KB |
Output is correct |
15 |
Correct |
8 ms |
16084 KB |
Output is correct |
16 |
Correct |
7 ms |
16084 KB |
Output is correct |
17 |
Correct |
7 ms |
16044 KB |
Output is correct |
18 |
Correct |
7 ms |
16084 KB |
Output is correct |
19 |
Correct |
8 ms |
16084 KB |
Output is correct |
20 |
Correct |
6 ms |
15956 KB |
Output is correct |
21 |
Correct |
8 ms |
16084 KB |
Output is correct |
22 |
Correct |
8 ms |
16084 KB |
Output is correct |
23 |
Correct |
8 ms |
15956 KB |
Output is correct |
24 |
Correct |
9 ms |
16084 KB |
Output is correct |
25 |
Correct |
7 ms |
15956 KB |
Output is correct |
26 |
Correct |
9 ms |
15964 KB |
Output is correct |
27 |
Correct |
8 ms |
15964 KB |
Output is correct |
28 |
Correct |
7 ms |
16004 KB |
Output is correct |
29 |
Correct |
7 ms |
16028 KB |
Output is correct |
30 |
Correct |
8 ms |
15956 KB |
Output is correct |
31 |
Correct |
7 ms |
15956 KB |
Output is correct |
32 |
Correct |
8 ms |
16004 KB |
Output is correct |
33 |
Correct |
8 ms |
15968 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
15956 KB |
Output is correct |
2 |
Correct |
7 ms |
15956 KB |
Output is correct |
3 |
Correct |
9 ms |
15912 KB |
Output is correct |
4 |
Correct |
8 ms |
15948 KB |
Output is correct |
5 |
Correct |
9 ms |
16036 KB |
Output is correct |
6 |
Correct |
11 ms |
16084 KB |
Output is correct |
7 |
Correct |
8 ms |
16008 KB |
Output is correct |
8 |
Correct |
8 ms |
16084 KB |
Output is correct |
9 |
Correct |
9 ms |
16084 KB |
Output is correct |
10 |
Correct |
7 ms |
16084 KB |
Output is correct |
11 |
Correct |
7 ms |
16020 KB |
Output is correct |
12 |
Correct |
9 ms |
16080 KB |
Output is correct |
13 |
Correct |
8 ms |
16084 KB |
Output is correct |
14 |
Correct |
9 ms |
16072 KB |
Output is correct |
15 |
Correct |
8 ms |
16084 KB |
Output is correct |
16 |
Correct |
7 ms |
16084 KB |
Output is correct |
17 |
Correct |
7 ms |
16044 KB |
Output is correct |
18 |
Correct |
7 ms |
16084 KB |
Output is correct |
19 |
Correct |
8 ms |
16084 KB |
Output is correct |
20 |
Correct |
6 ms |
15956 KB |
Output is correct |
21 |
Correct |
8 ms |
16084 KB |
Output is correct |
22 |
Correct |
8 ms |
16084 KB |
Output is correct |
23 |
Correct |
8 ms |
15956 KB |
Output is correct |
24 |
Correct |
9 ms |
16084 KB |
Output is correct |
25 |
Correct |
7 ms |
15956 KB |
Output is correct |
26 |
Correct |
9 ms |
15964 KB |
Output is correct |
27 |
Correct |
8 ms |
15964 KB |
Output is correct |
28 |
Correct |
7 ms |
16004 KB |
Output is correct |
29 |
Correct |
7 ms |
16028 KB |
Output is correct |
30 |
Correct |
8 ms |
15956 KB |
Output is correct |
31 |
Correct |
7 ms |
15956 KB |
Output is correct |
32 |
Correct |
8 ms |
16004 KB |
Output is correct |
33 |
Correct |
8 ms |
15968 KB |
Output is correct |
34 |
Correct |
216 ms |
42600 KB |
Output is correct |
35 |
Correct |
212 ms |
43048 KB |
Output is correct |
36 |
Correct |
234 ms |
42528 KB |
Output is correct |
37 |
Correct |
206 ms |
43040 KB |
Output is correct |
38 |
Correct |
281 ms |
43088 KB |
Output is correct |
39 |
Correct |
207 ms |
42220 KB |
Output is correct |
40 |
Correct |
223 ms |
44604 KB |
Output is correct |
41 |
Correct |
184 ms |
42996 KB |
Output is correct |
42 |
Correct |
214 ms |
44016 KB |
Output is correct |
43 |
Correct |
234 ms |
45032 KB |
Output is correct |
44 |
Correct |
234 ms |
45152 KB |
Output is correct |
45 |
Correct |
250 ms |
45140 KB |
Output is correct |
46 |
Correct |
259 ms |
45148 KB |
Output is correct |
47 |
Correct |
233 ms |
44128 KB |
Output is correct |
48 |
Correct |
211 ms |
43984 KB |
Output is correct |
49 |
Correct |
230 ms |
44772 KB |
Output is correct |
50 |
Correct |
239 ms |
44240 KB |
Output is correct |
51 |
Correct |
225 ms |
44248 KB |
Output is correct |
52 |
Correct |
151 ms |
33296 KB |
Output is correct |
53 |
Correct |
161 ms |
33356 KB |
Output is correct |
54 |
Correct |
133 ms |
33356 KB |
Output is correct |
55 |
Correct |
144 ms |
33052 KB |
Output is correct |
56 |
Correct |
229 ms |
45388 KB |
Output is correct |
57 |
Correct |
208 ms |
40144 KB |
Output is correct |
58 |
Correct |
179 ms |
40248 KB |
Output is correct |
59 |
Correct |
235 ms |
40412 KB |
Output is correct |
60 |
Correct |
178 ms |
39276 KB |
Output is correct |
61 |
Correct |
198 ms |
40812 KB |
Output is correct |
62 |
Correct |
216 ms |
40396 KB |
Output is correct |
63 |
Correct |
273 ms |
40796 KB |
Output is correct |
64 |
Correct |
190 ms |
39892 KB |
Output is correct |
65 |
Correct |
190 ms |
40772 KB |
Output is correct |