#include<iostream>#include<cstring>#include<cstdio>#include<cmath>using namespace std;const int l=-55555;int main(){ int n,m,t,i,j,q,h,f,ll,v; char s[500]; char ss[50]; double a[55][45]; int p[55]; cin>>n; for(q=1;q<=n;q++){ cin>>m>>t; getchar(); gets(s); ll=strlen(s); j=0; for(i=1;i<=m;i++){ v=0; while(s[j]!=' '&&s[j]!=' ') { ss[v]=s[j]; v++; j++; } ss[v]=' '; j++; if(ss[0]=='L') p[i]=l; else sscanf(ss,"%d",p+i); } p[0]=0; p[m+1]=0; for(i=0;i<=m;i++) a[i][0]=0; for(i=0;i<=t;i++) a[m+1][i]=1; for(i=1;i<=t;i++){ for(j=0;j<=m;j++){ if(p[j+1]==l) {if(i<=2) a[j][i]=0; else a[j][i]=a[j+1][i-2]/2.0; } else { h=j+1+p[j+1];if(h<0)h=0;if(h>m+1) h=m+1; a[j][i]=a[h][i-1]/2.0; } if(j==m) a[j][i]+=0.5; else { if(p[j+2]==l){ if(i>2) a[j][i]+=a[j+2][i-2]/2.0; } else{ h=j+2+p[j+2]; if(h<0) h=0; if(h>m+1) h=m+1; a[j][i]+=a[h][i-1]/2.0; } } } } if(fabs(a[0][t]-0.5000)<0.0000001) printf("Push. 0.5000n"); else { f=a[0][t]*10000000; if(f>5000000) printf("Bet for. %.4fn",a[0][t]); else printf("Bet against. %.4fn",a[0][t]);} } return 0;}
