#include "bits/stdc++.h"
using namespace std;
void abc() {cout << endl;}
template <typename T, typename ...U> void abc(T a, U ...b) {
cout << a << ' ', abc(b...);
}
template <typename T> void printv(T l, T r) {
while (l != r) cout << *l << " \n"[++l == r];
}
template <typename A, typename B> istream& operator >> (istream& o, pair<A, B> &a) {
return o >> a.first >> a.second;
}
template <typename A, typename B> ostream& operator << (ostream& o, pair<A, B> a) {
return o << '(' << a.first << ", " << a.second << ')';
}
template <typename T> ostream& operator << (ostream& o, vector<T> a) {
bool is = false;
for (T i : a) {o << (is ? ' ' : '{'), is = true, o << i;}
return o << '}';
}
#ifdef local
#define test(args...) abc("[" + string(#args) + "]", args)
#else
#define test(args...) void(0)
#endif
using ll = long long;
ll dp[1000005][2][2];
ll a[1000005], b[1000005];
string ans = "";
void retrieve(int pos, int col, int aleft) {
if (pos == 1) {
if (col == 0) ans += "A";
else ans += "B";
return;
}
if (col == 0) {
ans += "A";
if (a[pos - 1] <= a[pos] && dp[pos - 1][0][0] <= (aleft - 1) && (aleft - 1) <= dp[pos - 1][0][1]) {
retrieve(pos - 1, 0, aleft - 1);
} else {
retrieve(pos - 1, 1, aleft - 1);
}
} else {
ans += "B";
if (a[pos - 1] <= b[pos] && dp[pos - 1][0][0] <= (aleft) && (aleft) <= dp[pos - 1][0][1]) {
retrieve(pos - 1, 0, aleft);
} else {
retrieve(pos - 1, 1, aleft);
}
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("", "r", stdin);
// freopen("", "w", stdout);
int n; cin >> n;
for (int i = 1; i <= 2 * n; i++) cin >> a[i];
for (int i = 1; i <= 2 * n; i++) cin >> b[i];
for (int i = 1; i <= 2 * n; i++) {
dp[i][0][0] = dp[i][1][0] = 1e16;
dp[i][0][1] = dp[i][1][1] = -1;
}
dp[1][0][0] = 1;
dp[1][0][1] = 1;
dp[1][1][0] = 0;
dp[1][1][1] = 0;
for (int i = 2; i <= 2 * n; i++) {
if (a[i - 1] <= a[i]) {
dp[i][0][0] = min(dp[i][0][0], dp[i - 1][0][0] + 1);
dp[i][0][1] = max(dp[i][0][1], dp[i - 1][0][1] + 1);
}
if (b[i - 1] <= a[i]) {
dp[i][0][0] = min(dp[i][0][0], dp[i - 1][1][0] + 1);
dp[i][0][1] = max(dp[i][0][1], dp[i - 1][1][1] + 1);
}
if (a[i-1] <= b[i]) {
dp[i][1][0] = min(dp[i][1][0], dp[i-1][0][0]);
dp[i][1][1] = max(dp[i][1][1], dp[i-1][0][1]);
}
if (b[i-1] <= b[i]) {
dp[i][1][0] = min(dp[i][1][0], dp[i-1][1][0]);
dp[i][1][1] = max(dp[i][1][1], dp[i-1][1][1]);
}
}
if ((dp[2 * n][0][0] <= n && dp[2 * n][0][1] >= n)) {
retrieve(2 * n, 0, n);
reverse(ans.begin(), ans.end());
cout << ans;
} else if ((dp[2 * n][1][0] <= n && dp[2 * n][1][1] >= n)) {
retrieve(2 * n, 1, n);
reverse(ans.begin(), ans.end());
cout << ans;
} else {
cout << -1;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
2 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
1 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
552 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
596 KB |
Output is correct |
18 |
Correct |
2 ms |
596 KB |
Output is correct |
19 |
Correct |
2 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
472 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
2 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
596 KB |
Output is correct |
30 |
Correct |
2 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
472 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
2 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
1 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
552 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
2 ms |
596 KB |
Output is correct |
18 |
Correct |
2 ms |
596 KB |
Output is correct |
19 |
Correct |
2 ms |
596 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
472 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
2 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
596 KB |
Output is correct |
30 |
Correct |
2 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
472 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
217 ms |
65508 KB |
Output is correct |
35 |
Correct |
216 ms |
63632 KB |
Output is correct |
36 |
Correct |
233 ms |
62632 KB |
Output is correct |
37 |
Correct |
228 ms |
63904 KB |
Output is correct |
38 |
Correct |
202 ms |
63916 KB |
Output is correct |
39 |
Correct |
213 ms |
63228 KB |
Output is correct |
40 |
Correct |
234 ms |
68028 KB |
Output is correct |
41 |
Correct |
216 ms |
64628 KB |
Output is correct |
42 |
Correct |
255 ms |
66364 KB |
Output is correct |
43 |
Correct |
230 ms |
68644 KB |
Output is correct |
44 |
Correct |
244 ms |
68796 KB |
Output is correct |
45 |
Correct |
231 ms |
68684 KB |
Output is correct |
46 |
Correct |
215 ms |
68676 KB |
Output is correct |
47 |
Correct |
227 ms |
67784 KB |
Output is correct |
48 |
Correct |
216 ms |
67576 KB |
Output is correct |
49 |
Correct |
215 ms |
68348 KB |
Output is correct |
50 |
Correct |
255 ms |
67856 KB |
Output is correct |
51 |
Correct |
227 ms |
67772 KB |
Output is correct |
52 |
Correct |
157 ms |
56928 KB |
Output is correct |
53 |
Correct |
171 ms |
57000 KB |
Output is correct |
54 |
Correct |
147 ms |
56988 KB |
Output is correct |
55 |
Correct |
150 ms |
56648 KB |
Output is correct |
56 |
Correct |
245 ms |
68836 KB |
Output is correct |
57 |
Correct |
189 ms |
63600 KB |
Output is correct |
58 |
Correct |
201 ms |
63888 KB |
Output is correct |
59 |
Correct |
203 ms |
63860 KB |
Output is correct |
60 |
Correct |
183 ms |
60552 KB |
Output is correct |
61 |
Correct |
264 ms |
64340 KB |
Output is correct |
62 |
Correct |
203 ms |
63456 KB |
Output is correct |
63 |
Correct |
214 ms |
64556 KB |
Output is correct |
64 |
Correct |
188 ms |
62108 KB |
Output is correct |
65 |
Correct |
192 ms |
64384 KB |
Output is correct |