#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <vector>
using namespace std;
// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define derr if(1) cerr
typedef vector<int> vi;
// END NO SAD
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<vector<ll>> matrix;
typedef pair<int, pii> state;
void die() {
cout << "-1\n";
exit(0);
}
int a[1000000];
int b[1000000];
pii dp[1000001][2]; // [i][0] gives range of min, max of A's, selecting A last
const pii BAD = {1e9, -1e9};
void solve() {
int n;
cin >> n;
n *= 2;
int want = n/2;
for(int i = 0; i < n; i++) cin >> a[i];
for(int i = 0; i < n; i++) cin >> b[i];
dp[1][0] = {1, 1};
dp[1][1] = {0, 0};
for(int i = 1; i < n; i++) {
int clhs = 1e9;
int crhs = -1e9;
if(a[i] >= a[i-1]) {
clhs = min(clhs, dp[i][0].first + 1);
crhs = max(crhs, dp[i][0].second + 1);
}
if(a[i] >= b[i-1]) {
clhs = min(clhs, dp[i][1].first + 1);
crhs = max(crhs, dp[i][1].second + 1);
}
dp[i+1][0] = {clhs, crhs};
clhs = 1e9;
crhs = -1e9;
if(b[i] >= a[i-1]) {
clhs = min(clhs, dp[i][0].first);
crhs = max(crhs, dp[i][0].second);
}
if(b[i] >= b[i-1]) {
clhs = min(clhs, dp[i][1].first);
crhs = max(crhs, dp[i][1].second);
}
dp[i+1][1] = {clhs, crhs};
}
pii src = {-1, -1};
if(dp[n][0].first <= want && want <= dp[n][0].second) src = {n, 0};
if(dp[n][1].first <= want && want <= dp[n][1].second) src = {n, 1};
if(src.first == -1) die();
vector<char> ret;
int numa = want;
while(src.first) {
if(src.second) ret.push_back('B');
else {
ret.push_back('A');
numa--;
}
if(--src.first == 0) break;
int now = src.second ? b[src.first] : a[src.first];
if(now >= a[src.first-1] && dp[src.first][0].first <= numa && numa <= dp[src.first][0].second) {
src.second = 0;
}
else {
src.second = 1;
}
assert(dp[src.first][src.second].first <= numa && numa <= dp[src.first][src.second].second);
}
reverse(all(ret));
for(char out: ret) cout << out; cout << "\n";
}
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
solve();
}
Compilation message
building4.cpp: In function 'void solve()':
building4.cpp:97:3: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
for(char out: ret) cout << out; cout << "\n";
^~~
building4.cpp:97:35: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
for(char out: ret) cout << out; cout << "\n";
^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
6 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
540 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
5 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 KB |
Output is correct |
27 |
Correct |
6 ms |
512 KB |
Output is correct |
28 |
Correct |
5 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
5 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
5 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
6 ms |
512 KB |
Output is correct |
6 |
Correct |
6 ms |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
5 ms |
512 KB |
Output is correct |
11 |
Correct |
6 ms |
512 KB |
Output is correct |
12 |
Correct |
6 ms |
512 KB |
Output is correct |
13 |
Correct |
6 ms |
512 KB |
Output is correct |
14 |
Correct |
6 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
6 ms |
512 KB |
Output is correct |
19 |
Correct |
6 ms |
540 KB |
Output is correct |
20 |
Correct |
5 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
5 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
5 ms |
512 KB |
Output is correct |
27 |
Correct |
6 ms |
512 KB |
Output is correct |
28 |
Correct |
5 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
5 ms |
512 KB |
Output is correct |
31 |
Correct |
5 ms |
512 KB |
Output is correct |
32 |
Correct |
5 ms |
512 KB |
Output is correct |
33 |
Correct |
5 ms |
512 KB |
Output is correct |
34 |
Correct |
289 ms |
24372 KB |
Output is correct |
35 |
Correct |
324 ms |
42092 KB |
Output is correct |
36 |
Correct |
330 ms |
41328 KB |
Output is correct |
37 |
Correct |
304 ms |
42224 KB |
Output is correct |
38 |
Correct |
319 ms |
41840 KB |
Output is correct |
39 |
Correct |
313 ms |
30188 KB |
Output is correct |
40 |
Correct |
306 ms |
29680 KB |
Output is correct |
41 |
Correct |
291 ms |
42424 KB |
Output is correct |
42 |
Correct |
318 ms |
39152 KB |
Output is correct |
43 |
Correct |
333 ms |
28652 KB |
Output is correct |
44 |
Correct |
350 ms |
28652 KB |
Output is correct |
45 |
Correct |
331 ms |
28528 KB |
Output is correct |
46 |
Correct |
309 ms |
28528 KB |
Output is correct |
47 |
Correct |
328 ms |
43116 KB |
Output is correct |
48 |
Correct |
310 ms |
44272 KB |
Output is correct |
49 |
Correct |
326 ms |
28524 KB |
Output is correct |
50 |
Correct |
338 ms |
40944 KB |
Output is correct |
51 |
Correct |
335 ms |
41324 KB |
Output is correct |
52 |
Correct |
192 ms |
33520 KB |
Output is correct |
53 |
Correct |
195 ms |
33672 KB |
Output is correct |
54 |
Correct |
189 ms |
33644 KB |
Output is correct |
55 |
Correct |
197 ms |
33264 KB |
Output is correct |
56 |
Correct |
316 ms |
28524 KB |
Output is correct |
57 |
Correct |
278 ms |
40304 KB |
Output is correct |
58 |
Correct |
284 ms |
40508 KB |
Output is correct |
59 |
Correct |
283 ms |
40432 KB |
Output is correct |
60 |
Correct |
256 ms |
38508 KB |
Output is correct |
61 |
Correct |
295 ms |
40944 KB |
Output is correct |
62 |
Correct |
268 ms |
40432 KB |
Output is correct |
63 |
Correct |
296 ms |
40944 KB |
Output is correct |
64 |
Correct |
285 ms |
39532 KB |
Output is correct |
65 |
Correct |
292 ms |
40940 KB |
Output is correct |