#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vl; typedef vector vvl; typedef vector vvvl; typedef vector vvvvl; typedef vector vb; typedef vector vvb; typedef vector vvvb; typedef vector vvvvb; typedef pair pl; typedef pair ppl; typedef pair pppl; typedef pair pppppl; #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(a) begin(a),end(a) #define sz(a) (int)(a).size() #define F first #define S second #define bs(A,x) binary_search(all(A),x) #define lb(A,x) (ll)(lower_bound(all(A),x)-A.begin()) #define ub(A,x) (ll)(upper_bound(all(A),x)-A.begin()) #define cou(A,x) (ll)(upper_bound(all(A),x)-lower_bound(all(A),x)) templateusing min_priority_queue=priority_queue,greater>; templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint a){os<>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;} //*/ templateostream&operator<<(ostream&os,pairp){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vectorv){rep(i,0,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} int main(){ cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); string T;cin>>T; ll N;cin>>N; vvl B(200,vl(32)); rep(i,0,32){ unsigned x=1ll<>17; x^=x<<5; B[2*j][i]=x&1; B[2*j+1][i]=(x>>1)&1; } } vl I(1e6); I['R']=0;I['S']=1;I['P']=2;I['X']=3; vl C(200); rep(i,0,100)C[2*i]=I[T[i]]&1,C[2*i+1]=I[T[i]]>>1; rep(i,0,32){ ll j=i; while(j<200&&!B[j][i])j++; assert(j<200); swap(B[i],B[j]);swap(C[i],C[j]); rep(j,0,200)if(j!=i&&B[j][i]){ C[j]^=C[i]; rep(k,0,32)B[j][k]^=B[i][k]; } } unsigned state=0; rep(i,0,32)state|=C[i]<>17; state^=state<<5; // cout<<"RSPX"[state&3]; } rep(_,0,N){ state^=state<<13; state^=state>>17; state^=state<<5; cout<<"XRSP"[state&3]; } cout<