#include <bits/stdc++.h>
using namespace std;
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 1e6+10, MOD = 1e9+7;
// some are switchable, but only if the next thing switches (or if it's the tail end)
// you can just start from the end and swithc stuff while you need to
int n, a[N][2];
ar<int, 2> dp[N][2];
void add_self(ar<int, 2>& x, ar<int, 2> y, int delta) {
y[0] += delta;
y[1] += delta;
x[0] = min(x[0], y[0]);
x[1] = max(x[1], y[1]);
}
void solve() {
cin >> n;
for (int j = 0; j < 2; j++) {
for (int i = 0; i < 2 * n; i++) cin >> a[i][j];
}
dp[0][0] = {-1, -1};
dp[0][1] = {1, 1};
for (int i = 1; i < 2 * n; i++) {
// 1 if you take b, -1 if you take a
dp[i][0] = {MOD, -MOD};
dp[i][1] = {MOD, -MOD};
for (int x = 0; x < 2; x++) {
for (int y = 0; y < 2; y++) {
if (a[i-1][x] <= a[i][y]) {
add_self(dp[i][y], dp[i-1][x], (y ? +1 : -1));
}
}
}
}
int last = -1;
for (int x : {0, 1}) if (dp[2*n-1][x][0] <= 0 && 0 <= dp[2*n-1][x][1]) last = x;
if (last == -1) {
cout << -1 << '\n';
return;
}
string ans(2 * n, '?');
int start = 0;
for (int i = 2*n-1; i >= 0; i--) {
ans[i] = last + 'A';
if (!i) break;
start -= (last ? +1 : -1);
for (int x : {0, 1}) {
if (a[i-1][x] <= a[i][last] && dp[i-1][x][0] <= start && start <= dp[i-1][x][1]) {
last = x;
break;
}
}
}
cout << ans << '\n';
}
int main() {
ios::sync_with_stdio(false); cin.tie(0);
int T = 1;
// cin >> T;
while (T--) solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
340 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 |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
432 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 |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
340 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 |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
432 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 |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
185 ms |
37468 KB |
Output is correct |
35 |
Correct |
195 ms |
41820 KB |
Output is correct |
36 |
Correct |
165 ms |
41140 KB |
Output is correct |
37 |
Correct |
205 ms |
41988 KB |
Output is correct |
38 |
Correct |
163 ms |
42044 KB |
Output is correct |
39 |
Correct |
167 ms |
41164 KB |
Output is correct |
40 |
Correct |
163 ms |
44620 KB |
Output is correct |
41 |
Correct |
155 ms |
42204 KB |
Output is correct |
42 |
Correct |
176 ms |
43564 KB |
Output is correct |
43 |
Correct |
183 ms |
45128 KB |
Output is correct |
44 |
Correct |
193 ms |
45140 KB |
Output is correct |
45 |
Correct |
177 ms |
45040 KB |
Output is correct |
46 |
Correct |
166 ms |
45276 KB |
Output is correct |
47 |
Correct |
167 ms |
44236 KB |
Output is correct |
48 |
Correct |
191 ms |
43996 KB |
Output is correct |
49 |
Correct |
168 ms |
44768 KB |
Output is correct |
50 |
Correct |
173 ms |
44236 KB |
Output is correct |
51 |
Correct |
177 ms |
44300 KB |
Output is correct |
52 |
Correct |
124 ms |
33360 KB |
Output is correct |
53 |
Correct |
120 ms |
33404 KB |
Output is correct |
54 |
Correct |
109 ms |
33376 KB |
Output is correct |
55 |
Correct |
116 ms |
33168 KB |
Output is correct |
56 |
Correct |
168 ms |
45348 KB |
Output is correct |
57 |
Correct |
147 ms |
40116 KB |
Output is correct |
58 |
Correct |
143 ms |
40268 KB |
Output is correct |
59 |
Correct |
143 ms |
40388 KB |
Output is correct |
60 |
Correct |
137 ms |
38312 KB |
Output is correct |
61 |
Correct |
157 ms |
40996 KB |
Output is correct |
62 |
Correct |
141 ms |
40164 KB |
Output is correct |
63 |
Correct |
146 ms |
40832 KB |
Output is correct |
64 |
Correct |
136 ms |
39356 KB |
Output is correct |
65 |
Correct |
152 ms |
40904 KB |
Output is correct |