#include <iostream>
#include <string.h>
using namespace std;

int vrat_den(int a, int b){
  switch(a){
    case 1:
    case 3:
    case 5:
    case 7:
    case 8:
    case 10:
    case 12:
      return 31;
      break;
    case 4: case 6: case 9: case 11: 
      return 30;
      break;
    case 2:
      if(b % 4 == 0)
        return 29;
      else 
        return 28;
      break;
}  
}

bool vrat_cislo(char * pole){
  int pom,par,nep;
  bool vrat;  

  par = nep = 0;

  for(int i=0; i<6; i++){
    pom = (int)pole[i];
    pom -= 48;
    if(i%2 == 0){
      par += pom;
    }
    else{
      nep += pom;
    } 
  }

  //cout << "par: " << par << endl;
  //cout << "nep: " << nep << endl;
  
  if(strlen(pole)==10){
    pom = (int)pole[9];
    pom -= 48;
    nep += pom;
    pom = (int)pole[7];
    pom -= 48;
    nep += pom;
    pom = (int)pole[8];
    pom -= 48;
    par += pom;
  }
  else{
    for(int i=0; i<4; i++){
      pom = (int)pole[10-i];
      pom -= 48;
	if(i%2 == 0){
          nep += pom;
	}
        else{
          par += pom;
        }
    }
  }

  //cout << "Par: " << par << endl;
  //cout << "Nep: " << nep << endl;
  
  if((nep-par)==0 || (((nep-par)%11)==0)){
     vrat = true;
  }    
  else{
     vrat =  false;
  }
  
  //cout << (int)vrat << endl;

  return vrat;
}

int main(){
  char str[12];
  int a,b,c,rok,mesiac,den;
  bool is_boy;
  
  while(cin >> str && str[0]!='e'){
    is_boy = false;
    a =(int)str[0];
    c =(int)str[1];
    a -= 48;   
    c -= 48;
    a = (a*10)+c;
    rok = a; 
    //cout << str[0] << " " << a << "  /" << endl; 
    //if(a>=2 || a==0){
    if(rok<=9 || rok>=20){
      if(a!=1){
        b =(int)str[2];
        c =(int)str[3];
        b -= 48;
        c -= 48;
        b  = (b*10)+c;
        //cout << b << endl;
        if((b>=1 && b<=12) || ((b-50)>=1 && (b-50)<=12)){
           if(b>=1 && b<=12){
             // cout << "tr" << endl;
             is_boy = true;
           }
           else{
             is_boy = false;
           } 
           //is_invalid = false;
           
	   mesiac = b;

           b =(int)str[4];
           c =(int)str[5];
           b -= 48;
           c -= 48;
           b = (b*10)+c;
           
           if(rok<=9)
               den = vrat_den(mesiac,(2000+rok));
           else
               den = vrat_den(mesiac,(1900+rok)); 

	//	cout << "den is: " << den << endl;		


           if(b>=1 && b<= den){
  	      if(vrat_cislo(str)==true){
		if(is_boy==true){
 			cout << "boy" << endl;
		}
		else{
			cout << "girl" << endl;
		}
	      }
              else{
                cout << "invalid" << endl;
              }
	   }	    
           else{
             cout << "invalid" << endl;
           } 
	}
        else{
		cout << "invalid" << endl;
        } 
      }
      else{
        cout << "invalid" << endl;
      }
    }
    else{
      cout << "invalid" << endl;
    }
  }
  
  return 0;
}