#include <bits/stdc++.h>
typedef long long ll;
#define f first
#define s second
#define pb push_back
#define ep emplace
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define uniquev(v) sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define mem(f,x) memset(f , x , sizeof(f))
#define sz(x) (int)(x).size()
#define __lcm(a, b) (1ll * ((a) / __gcd((a), (b))) * (b))
#define mxx *max_element
#define mnn *min_element
#define cntbit(x) __builtin_popcountll(x)
using namespace std;
const int N = 1e6 + 100;
int A[N][2], mx[N][2], mi[N][2];
int c[2] = {-1, 1};
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin >> n;
int sz = n * 2;
for (int i = 1; i <= sz; i++)
cin >> A[i][0];
for (int i = 1; i <= sz; i++)
cin >> A[i][1];
for (int i = 1; i <= sz; i++) {
mx[i][0] = mx[i][1] = -1e9;
mi[i][0] = mi[i][1] = 1e9;
}
mi[sz][0] = mx[sz][0] = -1;
mi[sz][1] = mx[sz][1] = 1;
for (int i = sz - 1; i >= 1; i--) {
for (int j = 0; j < 2; j++) {
for (int k = 0; k < 2; k++) {
if (A[i][j] <= A[i + 1][k]) {
mx[i][j] = max(mx[i][j], mx[i + 1][k] + c[j]);
mi[i][j] = min(mi[i][j], mi[i + 1][k] + c[j]);
}
}
}
}
int x = 1, y = 0, all = 0;
string ans;
if (mi[x][y] > 0 || mx[x][y] < 0) {
y = 1;
}
if (mi[x][y] > 0 || mx[x][y] < 0) {
cout << -1 << '\n';
return 0;
}
while (x <= sz) {
if (y == 0) {
ans += "A";
all--;
} else {
ans += "B";
all++;
}
if (x == sz)
break;
int t = 1;
for (int k = 0; k < 2; k++) {
if (A[x][y] <= A[x + 1][k]) {
if (mi[x + 1][k] + all <= 0 && mx[x + 1][k] + all >= 0) {
t = k;
break;
}
}
}
x++;
y = t;
}
cout << ans << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 2 |
Correct |
1 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 |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4568 KB |
Output is correct |
| 7 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4440 KB |
Output is correct |
| 11 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 12 |
Correct |
1 ms |
4528 KB |
Output is correct |
| 13 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 14 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 15 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 16 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 17 |
Correct |
2 ms |
4576 KB |
Output is correct |
| 18 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 19 |
Correct |
2 ms |
4440 KB |
Output is correct |
| 20 |
Correct |
2 ms |
4696 KB |
Output is correct |
| 21 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 22 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 23 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 24 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 25 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 26 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 27 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 28 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 29 |
Correct |
2 ms |
4564 KB |
Output is correct |
| 30 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 31 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 32 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 33 |
Correct |
2 ms |
4696 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 2 |
Correct |
1 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 |
1 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
1 ms |
4568 KB |
Output is correct |
| 7 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 8 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 9 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
1 ms |
4440 KB |
Output is correct |
| 11 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 12 |
Correct |
1 ms |
4528 KB |
Output is correct |
| 13 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 14 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 15 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 16 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 17 |
Correct |
2 ms |
4576 KB |
Output is correct |
| 18 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 19 |
Correct |
2 ms |
4440 KB |
Output is correct |
| 20 |
Correct |
2 ms |
4696 KB |
Output is correct |
| 21 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 22 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 23 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 24 |
Correct |
2 ms |
4444 KB |
Output is correct |
| 25 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 26 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 27 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 28 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 29 |
Correct |
2 ms |
4564 KB |
Output is correct |
| 30 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 31 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 32 |
Correct |
1 ms |
4444 KB |
Output is correct |
| 33 |
Correct |
2 ms |
4696 KB |
Output is correct |
| 34 |
Correct |
161 ms |
42580 KB |
Output is correct |
| 35 |
Correct |
165 ms |
43224 KB |
Output is correct |
| 36 |
Correct |
159 ms |
42768 KB |
Output is correct |
| 37 |
Correct |
165 ms |
43144 KB |
Output is correct |
| 38 |
Correct |
159 ms |
43316 KB |
Output is correct |
| 39 |
Correct |
159 ms |
42224 KB |
Output is correct |
| 40 |
Correct |
161 ms |
44876 KB |
Output is correct |
| 41 |
Correct |
157 ms |
43120 KB |
Output is correct |
| 42 |
Correct |
177 ms |
44140 KB |
Output is correct |
| 43 |
Correct |
184 ms |
45072 KB |
Output is correct |
| 44 |
Correct |
188 ms |
45236 KB |
Output is correct |
| 45 |
Correct |
210 ms |
45368 KB |
Output is correct |
| 46 |
Correct |
167 ms |
45132 KB |
Output is correct |
| 47 |
Correct |
170 ms |
44604 KB |
Output is correct |
| 48 |
Correct |
159 ms |
44092 KB |
Output is correct |
| 49 |
Correct |
166 ms |
44964 KB |
Output is correct |
| 50 |
Correct |
183 ms |
44364 KB |
Output is correct |
| 51 |
Correct |
178 ms |
43336 KB |
Output is correct |
| 52 |
Correct |
121 ms |
33608 KB |
Output is correct |
| 53 |
Correct |
119 ms |
33548 KB |
Output is correct |
| 54 |
Correct |
109 ms |
33608 KB |
Output is correct |
| 55 |
Correct |
112 ms |
33288 KB |
Output is correct |
| 56 |
Correct |
175 ms |
45484 KB |
Output is correct |
| 57 |
Correct |
138 ms |
40524 KB |
Output is correct |
| 58 |
Correct |
140 ms |
40524 KB |
Output is correct |
| 59 |
Correct |
151 ms |
40512 KB |
Output is correct |
| 60 |
Correct |
134 ms |
39412 KB |
Output is correct |
| 61 |
Correct |
153 ms |
41004 KB |
Output is correct |
| 62 |
Correct |
154 ms |
40512 KB |
Output is correct |
| 63 |
Correct |
146 ms |
41036 KB |
Output is correct |
| 64 |
Correct |
138 ms |
40208 KB |
Output is correct |
| 65 |
Correct |
142 ms |
41032 KB |
Output is correct |
