#include <bits/stdc++.h>
#pragma GCC target("sse,sse2,avx2")
#pragma GCC optimize("unroll-loops,O2")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define all(x) (x).begin() , (x).end()
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pll;
constexpr int N = 1e6+10,mod = 998244353,inf = 1e9+10,sq = 700;
inline int mkay(int a,int b){
if (a+b >= mod) return a+b-mod;
if (a+b < 0) return a+b+mod;
return a+b;
}
inline int poww(int a,int k){
if (k < 0) return 0;
int z = 1;
while (k){
if (k&1) z = 1ll*z*a%mod;
a = 1ll*a*a%mod;
k /= 2;
}
return z;
}
int n,a[N],b[N];
int mx[N][2],mi[N][2];
int main(){
ios :: sync_with_stdio(0); cin.tie(0);
cin >> n;
n *= 2;
rep(i,0,n) cin >> a[i];
rep(i,0,n) cin >> b[i];
int cur = 0;
rep(i,0,n){
if (max(a[i],b[i]) < cur){
cout << -1 << endl;
return 0;
}
if (min(a[i],b[i]) >= cur){
cur = min(a[i],b[i]);
}
else cur = max(a[i],b[i]);
}
mx[n-1][0] = mi[n-1][0] = 1;
mx[n-1][1] = mi[n-1][1] = -1;
repr(i,n-2,0){
mx[i][0] = mx[i][1] = -inf;
mi[i][0] = mi[i][1] = inf;
if (a[i] <= a[i+1]){
mx[i][0] = max(mx[i][0],mx[i+1][0]+1);
mi[i][0] = min(mi[i][0],mi[i+1][0]+1);
}
if (a[i] <= b[i+1]){
mx[i][0] = max(mx[i][0],mx[i+1][1]+1);
mi[i][0] = min(mi[i][0],mi[i+1][1]+1);
}
if (b[i] <= a[i+1]){
mx[i][1] = max(mx[i][1],mx[i+1][0]-1);
mi[i][1] = min(mi[i][1],mi[i+1][0]-1);
}
if (b[i] <= b[i+1]){
mx[i][1] = max(mx[i][1],mx[i+1][1]-1);
mi[i][1] = min(mi[i][1],mi[i+1][1]-1);
}
}
if ((mi[0][0] > 0 || mx[0][0] < 0) && (mi[0][1] > 0 || mx[0][1] < 0)){
cout << -1;
return 0;
}
cur = 0;
int s = 0;
string ans = "";
rep(i,0,n){
if (min(a[i],b[i]) < cur){
cur = max(a[i],b[i]);
if (a[i] == cur){
s++;
ans += 'A';
}
else{
s--;
ans += 'B';
}
continue;
}
if (i == n-1){
if (s == -1) ans += 'A';
else ans += 'B';
continue;
}
if ((a[i+1] < a[i] || mi[i+1][0] > -s-1 || mx[i+1][0] < -s-1) && (b[i+1] < a[i] || mi[i+1][1] > -s-1 || mx[i+1][1] < -s-1)){
ans += 'B';
s--;
cur = b[i];
}
else{
ans += 'A';
s++;
cur = a[i];
}
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 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 |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
464 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 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 |
468 KB |
Output is correct |
13 |
Correct |
2 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
464 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
189 ms |
7968 KB |
Output is correct |
35 |
Correct |
213 ms |
41956 KB |
Output is correct |
36 |
Correct |
237 ms |
41352 KB |
Output is correct |
37 |
Correct |
202 ms |
42136 KB |
Output is correct |
38 |
Correct |
189 ms |
42116 KB |
Output is correct |
39 |
Correct |
194 ms |
41404 KB |
Output is correct |
40 |
Correct |
206 ms |
44752 KB |
Output is correct |
41 |
Correct |
192 ms |
42440 KB |
Output is correct |
42 |
Correct |
234 ms |
43744 KB |
Output is correct |
43 |
Correct |
236 ms |
45184 KB |
Output is correct |
44 |
Correct |
232 ms |
45160 KB |
Output is correct |
45 |
Correct |
253 ms |
45164 KB |
Output is correct |
46 |
Correct |
217 ms |
45084 KB |
Output is correct |
47 |
Correct |
211 ms |
44028 KB |
Output is correct |
48 |
Correct |
218 ms |
43924 KB |
Output is correct |
49 |
Correct |
219 ms |
44952 KB |
Output is correct |
50 |
Correct |
221 ms |
44200 KB |
Output is correct |
51 |
Correct |
235 ms |
44256 KB |
Output is correct |
52 |
Correct |
154 ms |
33612 KB |
Output is correct |
53 |
Correct |
162 ms |
33584 KB |
Output is correct |
54 |
Correct |
142 ms |
33448 KB |
Output is correct |
55 |
Correct |
151 ms |
33212 KB |
Output is correct |
56 |
Correct |
219 ms |
45356 KB |
Output is correct |
57 |
Correct |
185 ms |
40384 KB |
Output is correct |
58 |
Correct |
199 ms |
40468 KB |
Output is correct |
59 |
Correct |
192 ms |
40572 KB |
Output is correct |
60 |
Correct |
172 ms |
38452 KB |
Output is correct |
61 |
Correct |
192 ms |
40992 KB |
Output is correct |
62 |
Correct |
207 ms |
40436 KB |
Output is correct |
63 |
Correct |
180 ms |
40952 KB |
Output is correct |
64 |
Correct |
192 ms |
39544 KB |
Output is correct |
65 |
Correct |
189 ms |
40880 KB |
Output is correct |