#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << " " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << " " << j << " " << #i << " " << q << " " << #p << endl;
#define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl;
typedef pair<int,int>pii;
typedef pair<pii,pii>pi2;
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
int n;
int a[1000005];
int b[1000005];
pii memo[1000005][2];
pii dp(int index, bool amos){
if(index>2*n){
return memo[index][amos]={0,0};
}
if(memo[index][amos].first!=-1) return memo[index][amos];
pii ans={INT_MAX,INT_MIN};
if(amos){
if(a[index]>=a[index-1]){
pii hold=dp(index+1,true);
if(hold.first<=hold.second){
ans.first=min(ans.first,hold.first+1);
ans.second=max(ans.second,hold.second+1);
}
}
if(b[index]>=a[index-1]){
pii hold=dp(index+1,false);
if(hold.first<=hold.second){
ans.first=min(ans.first,hold.first);
ans.second=max(ans.second,hold.second);
}
}
}
else{
if(a[index]>=b[index-1]){
pii hold=dp(index+1,true);
if(hold.first<=hold.second){
ans.first=min(ans.first,hold.first+1);
ans.second=max(ans.second,hold.second+1);
}
}
if(b[index]>=b[index-1]){
pii hold=dp(index+1,false);
if(hold.first<=hold.second){
ans.first=min(ans.first,hold.first);
ans.second=max(ans.second,hold.second);
}
}
}
return memo[index][amos]=ans;
}
void dfs(int index, bool amos, int need){
if(index>2*n) return;
pii take={INT_MAX,INT_MIN};
pii take2={INT_MAX,INT_MIN};
if(amos){
if(a[index]>=a[index-1]){
take=memo[index+1][true];
take.first++;
take.second++;
}
if(b[index]>=a[index-1]){
take2=memo[index+1][false];
}
}
else{
if(a[index]>=b[index-1]){
take=memo[index+1][true];
take.first++;
take.second++;
}
if(b[index]>=b[index-1]){
take2=memo[index+1][false];
}
}
if(take.first<=need&&take.second>=need){
cout << "A";
dfs(index+1,true,need-1);
}
else{
cout << "B";
dfs(index+1,false,need);
}
}
void solve(){
cin >> n;
for(int x=1;x<=2*n;x++){
cin >> a[x];
}
for(int x=1;x<=2*n;x++){
cin >> b[x];
}
memset(memo,-1,sizeof(memo));
pii hold=dp(1,0);
if(hold.first<=n&&hold.second>=n){
dfs(1,0,n);
}
else{
cout << -1;
}
}
int32_t main(){
ios::sync_with_stdio(0);
cin.tie(0);
int t=1;
//cin >> t;
while(t--){
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
35420 KB |
Output is correct |
2 |
Correct |
9 ms |
35420 KB |
Output is correct |
3 |
Correct |
5 ms |
35420 KB |
Output is correct |
4 |
Correct |
5 ms |
35420 KB |
Output is correct |
5 |
Correct |
8 ms |
37468 KB |
Output is correct |
6 |
Correct |
6 ms |
37924 KB |
Output is correct |
7 |
Correct |
6 ms |
35812 KB |
Output is correct |
8 |
Correct |
6 ms |
35676 KB |
Output is correct |
9 |
Correct |
6 ms |
35676 KB |
Output is correct |
10 |
Correct |
6 ms |
35676 KB |
Output is correct |
11 |
Correct |
6 ms |
37720 KB |
Output is correct |
12 |
Correct |
8 ms |
37724 KB |
Output is correct |
13 |
Correct |
6 ms |
37904 KB |
Output is correct |
14 |
Correct |
6 ms |
37972 KB |
Output is correct |
15 |
Correct |
6 ms |
37724 KB |
Output is correct |
16 |
Correct |
7 ms |
37724 KB |
Output is correct |
17 |
Correct |
8 ms |
37724 KB |
Output is correct |
18 |
Correct |
6 ms |
37724 KB |
Output is correct |
19 |
Correct |
6 ms |
37724 KB |
Output is correct |
20 |
Correct |
7 ms |
37856 KB |
Output is correct |
21 |
Correct |
6 ms |
37724 KB |
Output is correct |
22 |
Correct |
6 ms |
37720 KB |
Output is correct |
23 |
Correct |
6 ms |
37720 KB |
Output is correct |
24 |
Correct |
9 ms |
37928 KB |
Output is correct |
25 |
Correct |
6 ms |
37724 KB |
Output is correct |
26 |
Correct |
6 ms |
37724 KB |
Output is correct |
27 |
Correct |
6 ms |
37852 KB |
Output is correct |
28 |
Correct |
6 ms |
37724 KB |
Output is correct |
29 |
Correct |
6 ms |
37892 KB |
Output is correct |
30 |
Correct |
6 ms |
37724 KB |
Output is correct |
31 |
Correct |
6 ms |
37724 KB |
Output is correct |
32 |
Correct |
5 ms |
35672 KB |
Output is correct |
33 |
Correct |
6 ms |
37724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
35420 KB |
Output is correct |
2 |
Correct |
9 ms |
35420 KB |
Output is correct |
3 |
Correct |
5 ms |
35420 KB |
Output is correct |
4 |
Correct |
5 ms |
35420 KB |
Output is correct |
5 |
Correct |
8 ms |
37468 KB |
Output is correct |
6 |
Correct |
6 ms |
37924 KB |
Output is correct |
7 |
Correct |
6 ms |
35812 KB |
Output is correct |
8 |
Correct |
6 ms |
35676 KB |
Output is correct |
9 |
Correct |
6 ms |
35676 KB |
Output is correct |
10 |
Correct |
6 ms |
35676 KB |
Output is correct |
11 |
Correct |
6 ms |
37720 KB |
Output is correct |
12 |
Correct |
8 ms |
37724 KB |
Output is correct |
13 |
Correct |
6 ms |
37904 KB |
Output is correct |
14 |
Correct |
6 ms |
37972 KB |
Output is correct |
15 |
Correct |
6 ms |
37724 KB |
Output is correct |
16 |
Correct |
7 ms |
37724 KB |
Output is correct |
17 |
Correct |
8 ms |
37724 KB |
Output is correct |
18 |
Correct |
6 ms |
37724 KB |
Output is correct |
19 |
Correct |
6 ms |
37724 KB |
Output is correct |
20 |
Correct |
7 ms |
37856 KB |
Output is correct |
21 |
Correct |
6 ms |
37724 KB |
Output is correct |
22 |
Correct |
6 ms |
37720 KB |
Output is correct |
23 |
Correct |
6 ms |
37720 KB |
Output is correct |
24 |
Correct |
9 ms |
37928 KB |
Output is correct |
25 |
Correct |
6 ms |
37724 KB |
Output is correct |
26 |
Correct |
6 ms |
37724 KB |
Output is correct |
27 |
Correct |
6 ms |
37852 KB |
Output is correct |
28 |
Correct |
6 ms |
37724 KB |
Output is correct |
29 |
Correct |
6 ms |
37892 KB |
Output is correct |
30 |
Correct |
6 ms |
37724 KB |
Output is correct |
31 |
Correct |
6 ms |
37724 KB |
Output is correct |
32 |
Correct |
5 ms |
35672 KB |
Output is correct |
33 |
Correct |
6 ms |
37724 KB |
Output is correct |
34 |
Correct |
154 ms |
66108 KB |
Output is correct |
35 |
Correct |
227 ms |
138228 KB |
Output is correct |
36 |
Correct |
249 ms |
136528 KB |
Output is correct |
37 |
Correct |
283 ms |
138576 KB |
Output is correct |
38 |
Correct |
240 ms |
138580 KB |
Output is correct |
39 |
Correct |
248 ms |
138164 KB |
Output is correct |
40 |
Correct |
243 ms |
145184 KB |
Output is correct |
41 |
Correct |
285 ms |
140080 KB |
Output is correct |
42 |
Correct |
236 ms |
142392 KB |
Output is correct |
43 |
Correct |
245 ms |
145864 KB |
Output is correct |
44 |
Correct |
251 ms |
145836 KB |
Output is correct |
45 |
Correct |
255 ms |
145980 KB |
Output is correct |
46 |
Correct |
237 ms |
145836 KB |
Output is correct |
47 |
Correct |
244 ms |
144984 KB |
Output is correct |
48 |
Correct |
235 ms |
144700 KB |
Output is correct |
49 |
Correct |
243 ms |
145920 KB |
Output is correct |
50 |
Correct |
244 ms |
144944 KB |
Output is correct |
51 |
Correct |
245 ms |
144956 KB |
Output is correct |
52 |
Correct |
199 ms |
134224 KB |
Output is correct |
53 |
Correct |
210 ms |
134280 KB |
Output is correct |
54 |
Correct |
192 ms |
134052 KB |
Output is correct |
55 |
Correct |
188 ms |
133820 KB |
Output is correct |
56 |
Correct |
270 ms |
145980 KB |
Output is correct |
57 |
Correct |
250 ms |
140604 KB |
Output is correct |
58 |
Correct |
224 ms |
140996 KB |
Output is correct |
59 |
Correct |
210 ms |
141140 KB |
Output is correct |
60 |
Correct |
200 ms |
135248 KB |
Output is correct |
61 |
Correct |
208 ms |
141456 KB |
Output is correct |
62 |
Correct |
206 ms |
140112 KB |
Output is correct |
63 |
Correct |
229 ms |
141596 KB |
Output is correct |
64 |
Correct |
202 ms |
138140 KB |
Output is correct |
65 |
Correct |
215 ms |
141568 KB |
Output is correct |