// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
//#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<pii,int>
#define mpp make_pair
#define fi first
#define se second
//const int inf=1e18;
const int mod=1e9+7;
const int maxn=200005;
const int bl=650;
const int maxs=655;
const int maxm=200005;
const int maxq=500005;
const int maxl=20;
const int maxa=250000;
const int root=3;
/*
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
*/
const int base=101;
void solve(){
int n;cin >> n;n*=2;
vector<int> a(n),b(n);
for(int i=0;i<n;i++) cin >> a[i];
for(int i=0;i<n;i++) cin >> b[i];
vector<vector<pii>> rn(n,vector<pii>(2,mpp(-1,-1)));
auto add = [&](pii a,pii b){
if(a==mpp(-1,-1)) return b;
else if(b==mpp(-1,-1)) return a;
else return mpp(min(a.fi,b.fi),max(a.se,b.se));
};
rn[0][0]={0,0};rn[0][1]={1,1};
for(int i=1;i<n;i++){
if(a[i-1]<=a[i]) rn[i][0]=add(rn[i][0],rn[i-1][0]);
if(a[i-1]<=b[i]) rn[i][1]=add(rn[i][1],rn[i-1][0]);
if(b[i-1]<=a[i]) rn[i][0]=add(rn[i][0],rn[i-1][1]);
if(b[i-1]<=b[i]) rn[i][1]=add(rn[i][1],rn[i-1][1]);
if(rn[i][1]!=mpp(-1,-1)) rn[i][1].fi++,rn[i][1].se++;
}
int c=0,cur=n/2;
while(c<=1 && (rn[n-1][c].se<n/2 || rn[n-1][c].fi>n/2)) c++;
if(c==2){
cout << -1 << '\n';
return;
}
string ans;
for(int i=n-1;i>=0;i--){
ans+=char('A'+c);cur-=c;
if(i==0) break;
if(rn[i-1][0].fi<=cur && cur<=rn[i-1][0].se && a[i-1]<=(c?b[i]:a[i])) c=0;
else c=1;
}
reverse(ans.begin(),ans.end());
cout << ans << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
320 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
1 ms |
596 KB |
Output is correct |
7 |
Correct |
1 ms |
592 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
1 ms |
596 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
596 KB |
Output is correct |
12 |
Correct |
2 ms |
596 KB |
Output is correct |
13 |
Correct |
2 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
2 ms |
596 KB |
Output is correct |
17 |
Correct |
1 ms |
596 KB |
Output is correct |
18 |
Correct |
1 ms |
596 KB |
Output is correct |
19 |
Correct |
1 ms |
588 KB |
Output is correct |
20 |
Correct |
1 ms |
596 KB |
Output is correct |
21 |
Correct |
1 ms |
596 KB |
Output is correct |
22 |
Correct |
1 ms |
592 KB |
Output is correct |
23 |
Correct |
1 ms |
592 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
2 ms |
596 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
596 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
320 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
596 KB |
Output is correct |
6 |
Correct |
1 ms |
596 KB |
Output is correct |
7 |
Correct |
1 ms |
592 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
1 ms |
596 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
2 ms |
596 KB |
Output is correct |
12 |
Correct |
2 ms |
596 KB |
Output is correct |
13 |
Correct |
2 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
596 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
2 ms |
596 KB |
Output is correct |
17 |
Correct |
1 ms |
596 KB |
Output is correct |
18 |
Correct |
1 ms |
596 KB |
Output is correct |
19 |
Correct |
1 ms |
588 KB |
Output is correct |
20 |
Correct |
1 ms |
596 KB |
Output is correct |
21 |
Correct |
1 ms |
596 KB |
Output is correct |
22 |
Correct |
1 ms |
592 KB |
Output is correct |
23 |
Correct |
1 ms |
592 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
2 ms |
596 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
2 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
596 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
34 |
Correct |
203 ms |
80836 KB |
Output is correct |
35 |
Correct |
199 ms |
78160 KB |
Output is correct |
36 |
Correct |
196 ms |
76876 KB |
Output is correct |
37 |
Correct |
206 ms |
78564 KB |
Output is correct |
38 |
Correct |
193 ms |
78432 KB |
Output is correct |
39 |
Correct |
186 ms |
77912 KB |
Output is correct |
40 |
Correct |
223 ms |
83600 KB |
Output is correct |
41 |
Correct |
200 ms |
79484 KB |
Output is correct |
42 |
Correct |
201 ms |
81544 KB |
Output is correct |
43 |
Correct |
211 ms |
84280 KB |
Output is correct |
44 |
Correct |
224 ms |
84280 KB |
Output is correct |
45 |
Correct |
212 ms |
84288 KB |
Output is correct |
46 |
Correct |
199 ms |
84284 KB |
Output is correct |
47 |
Correct |
224 ms |
83392 KB |
Output is correct |
48 |
Correct |
240 ms |
83252 KB |
Output is correct |
49 |
Correct |
203 ms |
84024 KB |
Output is correct |
50 |
Correct |
218 ms |
83424 KB |
Output is correct |
51 |
Correct |
211 ms |
83516 KB |
Output is correct |
52 |
Correct |
173 ms |
72584 KB |
Output is correct |
53 |
Correct |
157 ms |
72640 KB |
Output is correct |
54 |
Correct |
181 ms |
72692 KB |
Output is correct |
55 |
Correct |
147 ms |
72392 KB |
Output is correct |
56 |
Correct |
209 ms |
84544 KB |
Output is correct |
57 |
Correct |
182 ms |
79116 KB |
Output is correct |
58 |
Correct |
217 ms |
79568 KB |
Output is correct |
59 |
Correct |
179 ms |
79560 KB |
Output is correct |
60 |
Correct |
169 ms |
75172 KB |
Output is correct |
61 |
Correct |
193 ms |
80056 KB |
Output is correct |
62 |
Correct |
180 ms |
78868 KB |
Output is correct |
63 |
Correct |
221 ms |
80060 KB |
Output is correct |
64 |
Correct |
174 ms |
77232 KB |
Output is correct |
65 |
Correct |
182 ms |
80048 KB |
Output is correct |