#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define vec vector
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(),a.end()
typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
#define nare cout<<"NIE\n"; return;
bool is_pali(vi a){
auto ra=a;
reverse(all(ra));
return a==ra;
}
vec<vi> f(10,vi(10,-1));
void gap(){
for(int n=1;n<=8;n++){
rep(msk,1<<n){
int now=0;
rep(i,n){
vi b;
rng(j,i,n){
b.pb(msk>>j&1);
if(is_pali(b)){
now=max(now,j-i+1);
}
}
}
f[n][now]=msk;
}
}
}
void slv(){
int n,k;
cin>>n>>k;
if(n<=8){
int msk=f[n][k];
if(msk<0){
nare;
}
rep(i,n){
cout<<(msk>>i&1?'A':'P');
}
cout<<"\n";
return;
}
if(k<4){
nare;
}
vi pat={1,1,0,1,0,0};
vi a;
rep(i,k) a.pb(0);
rng(i,k,n) a.pb(pat[(i-k)%sz(pat)]);
rep(i,n){
cout<<(a[i]?'A':'P');
}
cout<<"\n";
}
signed main(){
ios::sync_with_stdio(0),cin.tie(0);
gap();
int t;
t=1;
cin>>t;
rep(cs,t){
slv();
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 | #include <bits/stdc++.h> using namespace std; #define rep(i,n) for(int i=0;i<n;i++) #define per(i,n) for(int i=n-1;i>=0;i--) #define rng(i,c,n) for(int i=c;i<n;i++) #define fi first #define se second #define vec vector #define pb push_back #define sz(a) (int)a.size() #define all(a) a.begin(),a.end() typedef long long ll; typedef vector<int> vi; typedef pair<int,int> pii; void print(){cout<<'\n';} template<class h,class...t> void print(const h&v,const t&...u){cout<<v<<' ',print(u...);} #define nare cout<<"NIE\n"; return; bool is_pali(vi a){ auto ra=a; reverse(all(ra)); return a==ra; } vec<vi> f(10,vi(10,-1)); void gap(){ for(int n=1;n<=8;n++){ rep(msk,1<<n){ int now=0; rep(i,n){ vi b; rng(j,i,n){ b.pb(msk>>j&1); if(is_pali(b)){ now=max(now,j-i+1); } } } f[n][now]=msk; } } } void slv(){ int n,k; cin>>n>>k; if(n<=8){ int msk=f[n][k]; if(msk<0){ nare; } rep(i,n){ cout<<(msk>>i&1?'A':'P'); } cout<<"\n"; return; } if(k<4){ nare; } vi pat={1,1,0,1,0,0}; vi a; rep(i,k) a.pb(0); rng(i,k,n) a.pb(pat[(i-k)%sz(pat)]); rep(i,n){ cout<<(a[i]?'A':'P'); } cout<<"\n"; } signed main(){ ios::sync_with_stdio(0),cin.tie(0); gap(); int t; t=1; cin>>t; rep(cs,t){ slv(); } } |
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