//#pragma GCC optimize("Ofast,O2,O3,unroll-loops")
//#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
void debug_out() { cerr << endl; }
template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << "[" << H << "]";
debug_out(T...);
}
#ifdef dddxxz
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
#define SZ(s) ((int)s.size())
#define all(x) (x).begin(), (x).end()
#define lla(x) (x).rbegin(), (x).rend()
#define bpc(x) __builtin_popcount(x)
#define bpcll(x) __builtin_popcountll(x)
#define MP make_pair
clock_t startTime;
int getCurrentTime() {
return int((double) (clock() - startTime) / CLOCKS_PER_SEC * 1000);
}
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
typedef long long ll;
const int MOD = 998244353;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 1e6 + 3e2;
int a[N], b[N];
int dpl[N][2], pl[N][2];
int dpr[N][2], pr[N][2];
bool chmin(int &x, int y){
if (x <= y) return false;
x = y;
return true;
}
bool chmax(int &x, int y){
if (x >= y) return false;
x = y;
return true;
}
void solve(int TC) {
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++){
dpl[i][0] = dpl[i][1] = INF;
dpr[i][0] = dpr[i][1] = -INF;
pl[i][0] = pl[i][1] = -1;
pr[i][0] = pr[i][1] = -1;
}
dpl[1][0] = 1;
dpl[1][1] = 0;
dpr[1][0] = 1;
dpr[1][1] = 0;
for (int i = 2; i <= 2 * n; i++){
if (a[i] >= a[i - 1]){
if (chmin(dpl[i][0], dpl[i - 1][0] + 1)) pl[i][0] = 0;
if (chmax(dpr[i][0], dpr[i - 1][0] + 1)) pr[i][0] = 0;
}
if (a[i] >= b[i - 1]){
if (chmin(dpl[i][0], dpl[i - 1][1] + 1)) pl[i][0] = 1;
if (chmax(dpr[i][0], dpr[i - 1][1] + 1)) pr[i][0] = 1;
}
if (b[i] >= a[i - 1]){
if (chmin(dpl[i][1], dpl[i - 1][0])) pl[i][1] = 0;
if (chmax(dpr[i][1], dpr[i - 1][0])) pr[i][1] = 0;
}
if (b[i] >= b[i - 1]){
if (chmin(dpl[i][1], dpl[i - 1][1])) pl[i][1] = 1;
if (chmax(dpr[i][1], dpr[i - 1][1])) pr[i][1] = 1;
}
}
int i = 2 * n;
int x = -1;
if (dpl[2 * n][0] <= n && n <= dpr[2 * n][0]) x = 0;
if (dpl[2 * n][1] <= n && n <= dpr[2 * n][1]) x = 1;
if (x == -1){
cout << -1;
return;
}
string s;
if (x == 0){
s += 'A';
n--;
} else {
s += 'B';
}
while (i > 1){
int y = pl[i][x];
if (dpl[i - 1][y] <= n && n <= dpr[i - 1][y]){
if (y == 0){
s += 'A';
n--;
} else {
s += 'B';
}
x = y;
i--;
continue;
}
y = pr[i][x];
if (dpl[i - 1][y] <= n && n <= dpr[i - 1][y]){
if (y == 0){
s += 'A';
n--;
} else {
s += 'B';
}
x = y;
i--;
continue;
}
assert(false);
}
reverse(all(s));
cout << s << endl;
}
int main() {
startTime = clock();
ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
#ifdef dddxxz
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int TC = 1;
//cin >> TC;
for (int test = 1; test <= TC; test++) {
//debug(test);
//cout << "Case #" << test << ": ";
solve(test);
}
#ifdef dddxxz
cerr << endl << "Time: " << getCurrentTime() << " ms" << endl;
#endif
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 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 |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
1 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 |
596 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
480 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 |
512 KB |
Output is correct |
29 |
Correct |
1 ms |
528 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
2 ms |
480 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 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 |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
596 KB |
Output is correct |
17 |
Correct |
1 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 |
596 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
480 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 |
512 KB |
Output is correct |
29 |
Correct |
1 ms |
528 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
2 ms |
480 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
212 ms |
57888 KB |
Output is correct |
35 |
Correct |
208 ms |
56656 KB |
Output is correct |
36 |
Correct |
213 ms |
55560 KB |
Output is correct |
37 |
Correct |
198 ms |
56796 KB |
Output is correct |
38 |
Correct |
189 ms |
56680 KB |
Output is correct |
39 |
Correct |
201 ms |
56024 KB |
Output is correct |
40 |
Correct |
219 ms |
60332 KB |
Output is correct |
41 |
Correct |
189 ms |
57256 KB |
Output is correct |
42 |
Correct |
212 ms |
59016 KB |
Output is correct |
43 |
Correct |
221 ms |
60880 KB |
Output is correct |
44 |
Correct |
222 ms |
60864 KB |
Output is correct |
45 |
Correct |
214 ms |
60948 KB |
Output is correct |
46 |
Correct |
205 ms |
60832 KB |
Output is correct |
47 |
Correct |
214 ms |
59964 KB |
Output is correct |
48 |
Correct |
208 ms |
59868 KB |
Output is correct |
49 |
Correct |
211 ms |
60748 KB |
Output is correct |
50 |
Correct |
219 ms |
60120 KB |
Output is correct |
51 |
Correct |
213 ms |
60052 KB |
Output is correct |
52 |
Correct |
158 ms |
49204 KB |
Output is correct |
53 |
Correct |
150 ms |
49140 KB |
Output is correct |
54 |
Correct |
138 ms |
49172 KB |
Output is correct |
55 |
Correct |
135 ms |
48908 KB |
Output is correct |
56 |
Correct |
210 ms |
61224 KB |
Output is correct |
57 |
Correct |
180 ms |
55868 KB |
Output is correct |
58 |
Correct |
176 ms |
56096 KB |
Output is correct |
59 |
Correct |
177 ms |
56064 KB |
Output is correct |
60 |
Correct |
175 ms |
53128 KB |
Output is correct |
61 |
Correct |
179 ms |
56516 KB |
Output is correct |
62 |
Correct |
173 ms |
55788 KB |
Output is correct |
63 |
Correct |
197 ms |
56564 KB |
Output is correct |
64 |
Correct |
172 ms |
54728 KB |
Output is correct |
65 |
Correct |
179 ms |
56644 KB |
Output is correct |