#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef pair<int, int> pi;
#define debug(x) cerr << #x << ": " << x << endl
#define debug2(x, y) debug(x), debug(y)
#define repn(i, a, b) for(int i = (int)(a); i < (int)(b); i++)
#define rep(i, a) for(int i = 0; i < (int)(a); i++)
#define all(v) v.begin(), v.end()
#define mp make_pair
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define sq(x) ((x) * (x))
const int mxN = 1e6 + 5;
template<class T> T gcd(T a, T b){ return ((b == 0) ? a : gcd(b, a % b)); }
int a[mxN][2];
int mx[mxN][2], mn[mxN][2];
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
int n;
cin >> n;
n *= 2;
rep(j, 2) repn(i, 1, n + 1) cin >> a[i][j];
repn(i, 1, n + 1){
rep(j, 2){ //what we take
mn[i][j] = 1e9, mx[i][j] = -1e9;
rep(k, 2){
//what we update from
if(mn[i - 1][k] < 0 || a[i][j] < a[i - 1][k]) continue;
mn[i][j] = min(mn[i][j], mn[i - 1][k] + (j == 0));
mx[i][j] = max(mx[i][j], mx[i - 1][k] + (j == 0));
}
}
}
vi ans;
if(mn[n][0] <= n / 2 && mx[n][0] >= n / 2) ans.pb(0);
else if(mn[n][1] <= n / 2 && mx[n][1] >= n / 2) ans.pb(1);
else{
cout << -1 << endl;
return 0;
}
int len = n / 2;
for(int i = n - 1; i >= 1; i--){
int lst = ans.back();
if(lst == 0) len--;
rep(j, 2){
if(mx[i][j] < 0 || a[i + 1][lst] < a[i][j]) continue;
if(mn[i][j] <= len && mx[i][j] >= len){
ans.pb(j);
break;
}
}
}
for(int i = n - 1; i >= 0; i--) cout << (char)('A' + ans[i]);
cout << endl;
return 0;
}
/*
Things to look out for:
- Integer overflows
- Array bounds
- Special cases
Be careful!
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
512 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
2 ms |
512 KB |
Output is correct |
9 |
Correct |
2 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
3 ms |
512 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
1 ms |
512 KB |
Output is correct |
21 |
Correct |
1 ms |
512 KB |
Output is correct |
22 |
Correct |
2 ms |
512 KB |
Output is correct |
23 |
Correct |
3 ms |
512 KB |
Output is correct |
24 |
Correct |
2 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
1 ms |
512 KB |
Output is correct |
27 |
Correct |
2 ms |
512 KB |
Output is correct |
28 |
Correct |
1 ms |
512 KB |
Output is correct |
29 |
Correct |
4 ms |
512 KB |
Output is correct |
30 |
Correct |
1 ms |
512 KB |
Output is correct |
31 |
Correct |
2 ms |
512 KB |
Output is correct |
32 |
Correct |
2 ms |
512 KB |
Output is correct |
33 |
Correct |
2 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
512 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
2 ms |
512 KB |
Output is correct |
9 |
Correct |
2 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
3 ms |
512 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
1 ms |
512 KB |
Output is correct |
21 |
Correct |
1 ms |
512 KB |
Output is correct |
22 |
Correct |
2 ms |
512 KB |
Output is correct |
23 |
Correct |
3 ms |
512 KB |
Output is correct |
24 |
Correct |
2 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
1 ms |
512 KB |
Output is correct |
27 |
Correct |
2 ms |
512 KB |
Output is correct |
28 |
Correct |
1 ms |
512 KB |
Output is correct |
29 |
Correct |
4 ms |
512 KB |
Output is correct |
30 |
Correct |
1 ms |
512 KB |
Output is correct |
31 |
Correct |
2 ms |
512 KB |
Output is correct |
32 |
Correct |
2 ms |
512 KB |
Output is correct |
33 |
Correct |
2 ms |
512 KB |
Output is correct |
34 |
Correct |
257 ms |
41976 KB |
Output is correct |
35 |
Correct |
290 ms |
44896 KB |
Output is correct |
36 |
Correct |
275 ms |
44004 KB |
Output is correct |
37 |
Correct |
279 ms |
44896 KB |
Output is correct |
38 |
Correct |
267 ms |
45032 KB |
Output is correct |
39 |
Correct |
265 ms |
44264 KB |
Output is correct |
40 |
Correct |
285 ms |
47832 KB |
Output is correct |
41 |
Correct |
270 ms |
45152 KB |
Output is correct |
42 |
Correct |
287 ms |
46688 KB |
Output is correct |
43 |
Correct |
303 ms |
48228 KB |
Output is correct |
44 |
Correct |
323 ms |
48224 KB |
Output is correct |
45 |
Correct |
322 ms |
48224 KB |
Output is correct |
46 |
Correct |
278 ms |
48224 KB |
Output is correct |
47 |
Correct |
316 ms |
47460 KB |
Output is correct |
48 |
Correct |
304 ms |
47108 KB |
Output is correct |
49 |
Correct |
284 ms |
47968 KB |
Output is correct |
50 |
Correct |
298 ms |
47456 KB |
Output is correct |
51 |
Correct |
304 ms |
47456 KB |
Output is correct |
52 |
Correct |
245 ms |
36576 KB |
Output is correct |
53 |
Correct |
239 ms |
36576 KB |
Output is correct |
54 |
Correct |
204 ms |
36452 KB |
Output is correct |
55 |
Correct |
207 ms |
36192 KB |
Output is correct |
56 |
Correct |
296 ms |
48472 KB |
Output is correct |
57 |
Correct |
256 ms |
43360 KB |
Output is correct |
58 |
Correct |
251 ms |
43488 KB |
Output is correct |
59 |
Correct |
256 ms |
43616 KB |
Output is correct |
60 |
Correct |
235 ms |
41320 KB |
Output is correct |
61 |
Correct |
252 ms |
43908 KB |
Output is correct |
62 |
Correct |
269 ms |
43424 KB |
Output is correct |
63 |
Correct |
262 ms |
44000 KB |
Output is correct |
64 |
Correct |
276 ms |
42468 KB |
Output is correct |
65 |
Correct |
258 ms |
44004 KB |
Output is correct |