#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
const int mxn = 1e6+10;
int N;
int arr[mxn][2];
int ch[mxn];
int need,cnt;
void chain(int s,int e){
if(!cnt)return;
//cout<<"CHAIN:"<<s<<' '<<e<<endl;
pii big = make_pair(0,e+1);
int sum = 0;
for(int i = e;i>=s;i--){
if(i != 1&&arr[i-1][ch[i-1]]>arr[i][ch[i]^1])break;
if(i != N*2&&max(arr[i+1][0],arr[i+1][1])<arr[i][ch[i]^1])break;
sum += (ch[i] == need?-1:1);
if(sum == cnt)big = make_pair(mxn,i);
else big = max(big,make_pair(sum,i));
}
for(int i = e;i>=big.sc;i--){
ch[i] ^= 1;
}
cnt = max(0,cnt-big.fs);
return;
}
void calc(int s,int e){
if(s>e)return;
//cout<<"calc:"<<s<<' '<<e<<endl;
if(!cnt)return;
vector<pii> v = {{s,s}};
for(int i = s+1;i<=e;i++){
//cout<<i<<":"<<arr[i-1][ch[i]^1]<<','<<arr[i][ch[i]]<<endl;
if(arr[i-1][ch[i-1]^1]<=arr[i][ch[i]])v.push_back({i,i});
else v.back().sc = i;
}
for(auto &i:v)chain(i.fs,i.sc);
}
void check(){
bool flag = false;
vector<int> cut = {0};
for(int i = 1;i<=N*2;i++){
if(arr[i][ch[i]]>arr[i][ch[i]^1])cut.push_back(i);
}
cut.push_back(N*2+1);
for(int i = 1;i<cut.size();i++){
calc(cut[i-1]+1,cut[i]-1);
}
}
int main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>N;
for(int i = 0;i<2;i++){
for(int j = 1;j<=N*2;j++)cin>>arr[j][i];
}
if(arr[1][0]>arr[1][1])ch[1] = 1;
for(int i = 2;i<=N*2;i++){
if(arr[i][1]<arr[i][0])ch[i] = 1;
if(arr[i][ch[i]]<arr[i-1][ch[i-1]])ch[i]^=1;
if(arr[i][ch[i]]<arr[i-1][ch[i-1]]){
cout<<"-1\n";
return 0;
}
}
int sum = 0;
for(int i = 1;i<=N*2;i++)sum += ch[i];
if(sum<N)need = 1,cnt = N-sum;
else need = 0,cnt = sum-N;
//for(int i = 1;i<=N*2;i++)cout<<ch[i];cout<<endl;
//cout<<need<<','<<cnt<<endl;
check();
if(cnt){
cout<<"-1";
return 0;
}
for(int i = 1;i<=N*2;i++){
cout<<"AB"[ch[i]];
}
return 0;
}
Compilation message
building4.cpp: In function 'void check()':
building4.cpp:57:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
57 | for(int i = 1;i<cut.size();i++){
| ~^~~~~~~~~~~
building4.cpp:51:7: warning: unused variable 'flag' [-Wunused-variable]
51 | bool flag = false;
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
2 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2552 KB |
Output is correct |
11 |
Correct |
2 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
2 ms |
2508 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
2 ms |
2392 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2392 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
2 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
2 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2392 KB |
Output is correct |
10 |
Correct |
1 ms |
2552 KB |
Output is correct |
11 |
Correct |
2 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
2 ms |
2508 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
2 ms |
2392 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2392 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
1 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Correct |
189 ms |
9812 KB |
Output is correct |
35 |
Correct |
167 ms |
13772 KB |
Output is correct |
36 |
Correct |
170 ms |
13644 KB |
Output is correct |
37 |
Correct |
174 ms |
31824 KB |
Output is correct |
38 |
Correct |
171 ms |
30488 KB |
Output is correct |
39 |
Correct |
166 ms |
29788 KB |
Output is correct |
40 |
Correct |
183 ms |
32152 KB |
Output is correct |
41 |
Correct |
160 ms |
30288 KB |
Output is correct |
42 |
Correct |
175 ms |
31360 KB |
Output is correct |
43 |
Correct |
203 ms |
33788 KB |
Output is correct |
44 |
Correct |
185 ms |
33484 KB |
Output is correct |
45 |
Correct |
224 ms |
33668 KB |
Output is correct |
46 |
Correct |
212 ms |
40392 KB |
Output is correct |
47 |
Correct |
189 ms |
31720 KB |
Output is correct |
48 |
Correct |
178 ms |
31444 KB |
Output is correct |
49 |
Correct |
182 ms |
32324 KB |
Output is correct |
50 |
Correct |
194 ms |
32840 KB |
Output is correct |
51 |
Correct |
195 ms |
33712 KB |
Output is correct |
52 |
Correct |
130 ms |
21928 KB |
Output is correct |
53 |
Correct |
145 ms |
21964 KB |
Output is correct |
54 |
Correct |
126 ms |
20832 KB |
Output is correct |
55 |
Correct |
122 ms |
20448 KB |
Output is correct |
56 |
Correct |
215 ms |
32208 KB |
Output is correct |
57 |
Correct |
147 ms |
27460 KB |
Output is correct |
58 |
Correct |
148 ms |
27480 KB |
Output is correct |
59 |
Correct |
151 ms |
25684 KB |
Output is correct |
60 |
Correct |
145 ms |
25716 KB |
Output is correct |
61 |
Correct |
154 ms |
27984 KB |
Output is correct |
62 |
Correct |
152 ms |
27104 KB |
Output is correct |
63 |
Correct |
153 ms |
27984 KB |
Output is correct |
64 |
Correct |
160 ms |
26452 KB |
Output is correct |
65 |
Correct |
157 ms |
28092 KB |
Output is correct |