#include <iostream>
#include <vector>
#include <limits>
#include <string>
#include <cassert>
#include <algorithm>
using namespace std;
int main(){
cin.tie(0);
ios_base::sync_with_stdio(false);
int n; cin >> n; n <<= 1;
vector<pair<int, int>> ops (n);
for (int i = 0; i < n; ++i) cin >> ops[i].first;
for (int i = 0; i < n; ++i) cin >> ops[i].second;
vector<pair<int, int>> lowers (n, {numeric_limits<int>::max(), numeric_limits<int>::max()}), uppers (n, {numeric_limits<int>::min(), numeric_limits<int>::min()});
lowers[0].first = 1; lowers[0].second = 0;
uppers[0].first = 1; uppers[0].second = 0;
for (int i = 1; i < n; ++i) {
if (ops[i].first >= ops[i - 1].first) {
lowers[i].first = lowers[i - 1].first;
uppers[i].first = uppers[i - 1].first;
}
if (ops[i].first >= ops[i - 1].second) {
lowers[i].first = min(lowers[i].first, lowers[i - 1].second);
uppers[i].first = max(uppers[i].first, uppers[i - 1].second);
}
if (lowers[i].first != numeric_limits<int>::max()) lowers[i].first++;
uppers[i].first++;
if (ops[i].second >= ops[i - 1].first) {
lowers[i].second = lowers[i - 1].first;
uppers[i].second = uppers[i - 1].first;
}
if (ops[i].second >= ops[i - 1].second) {
lowers[i].second = min(lowers[i].second, lowers[i - 1].second);
uppers[i].second = max(uppers[i].second, uppers[i - 1].second);
}
}
auto isin = [](int l, int r, int v){
return l <= v && v <= r;
};
if (!isin(lowers.back().first, uppers.back().first, n/2) && !isin(lowers.back().second, uppers.back().second, n/2)) cout << -1 << "\n";
else {
string ANS;
int tbd = n/2;
int at = numeric_limits<int>::max();
for (int i = n - 1; i >= 0; --i) {
if (isin(lowers[i].first, uppers[i].first, tbd) && at >= ops[i].first){
ANS.push_back('A');
tbd--;
at = ops[i].first;
}
else if (isin(lowers[i].second, uppers[i].second, tbd) && at >= ops[i].second){
ANS.push_back('B');
at = ops[i].second;
}
else{
assert(false);
}
}
assert(tbd == 0);
reverse(ANS.begin(), ANS.end());
cout << ANS;
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 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 |
340 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 |
2 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 |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 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 |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 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 |
340 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 |
2 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 |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
2 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 |
161 ms |
23380 KB |
Output is correct |
35 |
Correct |
174 ms |
23948 KB |
Output is correct |
36 |
Correct |
161 ms |
23652 KB |
Output is correct |
37 |
Correct |
159 ms |
24056 KB |
Output is correct |
38 |
Correct |
163 ms |
24060 KB |
Output is correct |
39 |
Correct |
151 ms |
24204 KB |
Output is correct |
40 |
Correct |
167 ms |
25716 KB |
Output is correct |
41 |
Correct |
153 ms |
24584 KB |
Output is correct |
42 |
Correct |
175 ms |
25224 KB |
Output is correct |
43 |
Correct |
207 ms |
25928 KB |
Output is correct |
44 |
Correct |
176 ms |
25940 KB |
Output is correct |
45 |
Correct |
173 ms |
25928 KB |
Output is correct |
46 |
Correct |
166 ms |
25888 KB |
Output is correct |
47 |
Correct |
165 ms |
25928 KB |
Output is correct |
48 |
Correct |
165 ms |
25924 KB |
Output is correct |
49 |
Correct |
180 ms |
25920 KB |
Output is correct |
50 |
Correct |
181 ms |
25848 KB |
Output is correct |
51 |
Correct |
172 ms |
25928 KB |
Output is correct |
52 |
Correct |
119 ms |
25920 KB |
Output is correct |
53 |
Correct |
119 ms |
25848 KB |
Output is correct |
54 |
Correct |
113 ms |
25912 KB |
Output is correct |
55 |
Correct |
116 ms |
25840 KB |
Output is correct |
56 |
Correct |
161 ms |
25928 KB |
Output is correct |
57 |
Correct |
162 ms |
25796 KB |
Output is correct |
58 |
Correct |
153 ms |
25876 KB |
Output is correct |
59 |
Correct |
139 ms |
25848 KB |
Output is correct |
60 |
Correct |
147 ms |
24364 KB |
Output is correct |
61 |
Correct |
142 ms |
25924 KB |
Output is correct |
62 |
Correct |
140 ms |
25560 KB |
Output is correct |
63 |
Correct |
140 ms |
25924 KB |
Output is correct |
64 |
Correct |
137 ms |
24964 KB |
Output is correct |
65 |
Correct |
148 ms |
25844 KB |
Output is correct |