#include<bits/stdc++.h>
#define fi first
#define se second
#define rep(a, b) for(int a = 0; a < (b); a++)
using namespace std;
typedef long long ll;
typedef vector<ll> vi;
typedef vector<ll> vl;
const int N=1e6+10;
pair<int,int> dp[N][2];
int t1[N],t2[N];
void solve(){
int n;
cin>>n;
n*=2;
rep(i,n) cin>>t1[i];
rep(i,n) cin>>t2[i];
dp[0][0]={1,1};
dp[0][1]={0,0};
for(int i=1;i<n;i++){
dp[i][0]={-1,-1},dp[i][1]={-1,-1};
pair<int,int> p1={1000*1000+10,0};
if(t1[i]>=t1[i-1] and dp[i-1][0].fi!=-1) p1=dp[i-1][0];
if(t1[i]>=t2[i-1] and dp[i-1][1].fi!=-1) p1.fi=min(p1.fi,dp[i-1][1].fi),p1.se=max(p1.se,dp[i-1][1].se);
if(p1.fi!=1000*1000+10) dp[i][0]={p1.fi+1,p1.se+1};
p1={1000*1000+10,0};
if(t2[i]>=t1[i-1] and dp[i-1][0].fi!=-1) p1=dp[i-1][0];
if(t2[i]>=t2[i-1] and dp[i-1][1].fi!=-1) p1.fi=min(p1.fi,dp[i-1][1].fi),p1.se=max(p1.se,dp[i-1][1].se);
if(p1.fi!=1000*1000+10) dp[i][1]=p1;
}
if((dp[n-1][0].fi>n/2 or dp[n-1][0].se<n/2) and (dp[n-1][1].fi>n/2 or dp[n-1][1].se<n/2)){cout<<-1<<"\n";return;}
int curr=n/2,j=n-1,pop=1000*1000*1000+10;
string s="";
while(j>=0){
if(pop>=t1[j] and dp[j][0].se>=curr and dp[j][0].fi<=curr){
pop=t1[j],curr--;
s+='A';
}else{
s+='B';
pop=t2[j];
}
j--;
}
reverse(s.begin(),s.end());
cout<<s<<"\n";
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0);
solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
456 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
2 ms |
464 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
380 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
412 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
460 KB |
Output is correct |
21 |
Correct |
2 ms |
460 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
460 KB |
Output is correct |
24 |
Correct |
1 ms |
460 KB |
Output is correct |
25 |
Correct |
1 ms |
460 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
1 ms |
376 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
460 KB |
Output is correct |
30 |
Correct |
1 ms |
460 KB |
Output is correct |
31 |
Correct |
1 ms |
388 KB |
Output is correct |
32 |
Correct |
1 ms |
460 KB |
Output is correct |
33 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
456 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
2 ms |
464 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
380 KB |
Output is correct |
11 |
Correct |
2 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
412 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
460 KB |
Output is correct |
21 |
Correct |
2 ms |
460 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
460 KB |
Output is correct |
24 |
Correct |
1 ms |
460 KB |
Output is correct |
25 |
Correct |
1 ms |
460 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
1 ms |
376 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
460 KB |
Output is correct |
30 |
Correct |
1 ms |
460 KB |
Output is correct |
31 |
Correct |
1 ms |
388 KB |
Output is correct |
32 |
Correct |
1 ms |
460 KB |
Output is correct |
33 |
Correct |
1 ms |
384 KB |
Output is correct |
34 |
Correct |
204 ms |
42416 KB |
Output is correct |
35 |
Correct |
199 ms |
41976 KB |
Output is correct |
36 |
Correct |
194 ms |
41340 KB |
Output is correct |
37 |
Correct |
215 ms |
42120 KB |
Output is correct |
38 |
Correct |
199 ms |
42100 KB |
Output is correct |
39 |
Correct |
211 ms |
41364 KB |
Output is correct |
40 |
Correct |
205 ms |
44704 KB |
Output is correct |
41 |
Correct |
180 ms |
42356 KB |
Output is correct |
42 |
Correct |
214 ms |
43776 KB |
Output is correct |
43 |
Correct |
208 ms |
45248 KB |
Output is correct |
44 |
Correct |
217 ms |
45244 KB |
Output is correct |
45 |
Correct |
208 ms |
45216 KB |
Output is correct |
46 |
Correct |
201 ms |
45152 KB |
Output is correct |
47 |
Correct |
220 ms |
44280 KB |
Output is correct |
48 |
Correct |
211 ms |
44096 KB |
Output is correct |
49 |
Correct |
201 ms |
44788 KB |
Output is correct |
50 |
Correct |
213 ms |
44544 KB |
Output is correct |
51 |
Correct |
209 ms |
44400 KB |
Output is correct |
52 |
Correct |
151 ms |
33460 KB |
Output is correct |
53 |
Correct |
148 ms |
33468 KB |
Output is correct |
54 |
Correct |
128 ms |
33536 KB |
Output is correct |
55 |
Correct |
132 ms |
33244 KB |
Output is correct |
56 |
Correct |
219 ms |
45324 KB |
Output is correct |
57 |
Correct |
173 ms |
40284 KB |
Output is correct |
58 |
Correct |
177 ms |
40600 KB |
Output is correct |
59 |
Correct |
178 ms |
40444 KB |
Output is correct |
60 |
Correct |
170 ms |
38400 KB |
Output is correct |
61 |
Correct |
192 ms |
40996 KB |
Output is correct |
62 |
Correct |
170 ms |
40356 KB |
Output is correct |
63 |
Correct |
175 ms |
41080 KB |
Output is correct |
64 |
Correct |
179 ms |
39508 KB |
Output is correct |
65 |
Correct |
180 ms |
40864 KB |
Output is correct |