// &n= bsp;=20 C++ Source Files

//--------------------------
// =20 =1B$BG$0U$N=1B(B4=1B$B7e$N<+A3?t$N3F7e$N=1B(B
// = =1B$B?t;z$r=1B(B1=1B$B2s$:$D;H$$$=3D$N<0$N=1B(B
// =20 =1B$BCM$,=1B(B10=1B$B$K$J$k$b$N$r5a$a$k=1B(B
// = ; Ticket.cpp
//--------------------------

#include <iostream>
#include=20 <fstream>
#include <string>
#include = <stack>
#include=20 <queue>
#define N_DIGIT 4

using namespace std;

//   = CExpresion=1B$B%/%i%9=1B(B
//  =20 =1B$BJ8;zNs<0$r%a%s%P$H$7$=3D$l$r=1B(B
//   = =1B$B5U%\!<%i%s%I5-K!=1B(B ->=20 =1B$B8eCV<0$rI>2A=1B(B
//---------------------------------------------= -----------
class=20 CExpresion{
friend ostream &operator<<(ostream=20 &,CExpresion *);
public:
CExpresion(string = &exp); =20 // =1B$B%3%s%9%H%i%/%?=1B(B
bool = operator=3D=3D(int); // =20 =1B$B1i;;;R4X?t=1B(B
private:
string = ConvertToPostfix(); // =20 =1B$B8eCV<0JQ49%W%m%7!<%8%c=1B(B
int Eval(string = &);     // =20 =1B$B8eCV<0I>2A%W%m%7!<%8%c=1B(B
bool isPriority(char,char) = const; // =20 =1B$BBh0l0z?t$N1i;;;R$OBhFs0z?t$N1i;;;R=1B(B
    &= nbsp;           &n= bsp;           &nb= sp;     =20 // =1B$B$h$jM%@h=3Dg0L$,Bg$-$$$+=1B(B
string = expresion; // =20 =1B$B<0$rI=3D$9=1B(Bstring=1B$B%*%V%8%'%/%H=1B(B
};
//-------------= -------------------------------------------

// &= nbsp; =20 CExpresion=1B$B%/%i%9//-------------------------------------= -------------------
// =20 ostream=1B$B%*%V%8%'%/%H$K=1B(Bexp=1B$B$rA^F~=1B(B
ostream = &operator<<(ostream=20 &out,CExpresion=20 *exp){
out<<exp->expresion;
return=20 out;
}

// = =1B$B%3%s%9%H%i%/%?=1B(B
CExpresion::CExpresion(string=20 &exp){
expresion=3Dexp;
}

// =1B$B1i;;;R4X?t=1B(B = 10=1B$B$HEy$7$$$+=1B(B
bool=20 CExpresion::operator=3D=3D(int num){
return=20 (Eval(ConvertToPostfix())=3D=3Dnum?true:false);
}

// = expresion=1B$B%a%s%P$r5U%\!<%i%s%I5-K!=1B(B(=1B$B8eCM<0=1B(B)=1B$B$KJQ49=1B= (B
string=20 CExpresion::ConvertToPostfix(){
//************ = =20 =1B$B8eCM<0JQ49%"%k%4%j%:%`=1B(B = **************************
// 1.=20 =1B$BCfCM<0$N:G8e$K1&3g8L=1B(B')'=1B$B$rA^F~=1B(B
// 2. = =1B$B%9%?%C%/$K:83g8L$rA^F~=1B(B
// 3.=20 =1B$BCfCM<0$r=1B(B1=1B$BJ8;z$:$DI>2A$7!"$=3D$NJ8;z$,?t;z$J$i$=3D$N$^$^=3D= PNO=1B(B
// 4.=20 =1B$B1i;;;R$J$i$=3D$N1i;;;R$h$jM%@h=3Dg0L$,9b$$4V%9%?%C%/$+$i%]%C%W$9$k=1B= (B
// 5.=20 =1B$B:83g8L$J$i%9%?%C%/$K%W%C%7%e$9$k=1B(B
// 6.=20 =1B$B1&3g8L$J$i%9%?%C%/$N@hF,$,:83g8L$K$J$k$^$G%9%?%C%/$+$i=1B(B
= ;// =20 =1B$B%]%C%W$7!"%9%?%C%/$N@hF,$r%]%C%W$9$k=1B(B
//***************= ****************************************************

string infix,postfix; // =20 =1B$BCfCM<05Z$S8eCM<0=1B(B
infix=3Dexpresion+")"; = ; // =20 =1B$BCfCM<0$N%i%9$K1&3g8L$rA^F~=1B(B

stack<char> register_stack; = // =20 =1B$B1i;;;R!"3g8L$r3JG<$9$k%9%?%C%/=1B(B
= register_stack.push('(');

string tmp; // = =1B$B0l;~J8;zNsJQ?t=1B(B
int=20 infix_index=3D0;
while(!register_stack.empty()){
= // =20 =1B$B?tCM$G$"$k=1B(B
char ch=3Dinfix[infix_index]; = infix_index++;

switch(ch){

   // =20 =1B$B?t;z$G$"$k=1B(B
      case '0': case = '1': case '2': case '3':=20 case '4':
   case '5': case '6': case '7': case '8': case=20 '9':
      tmp=3Dch; =20 postfix+=3Dtmp;
   break;

   // = =1B$B1i;;;R$G$"$k=1B(B
   case '+':=20 case '-': case '*': case '/':
      char=20 op;
     =20 op=3Dregister_stack.top();
     =20 while(isPriority(op,ch)){ // =20 op=1B$B$,=1B(Bch=1B$B$h$j1i;;;R$NM%@h=3Dg0L$,9b$$4V=1B(B
  &= nbsp;    tmp=3Dop; =20 postfix+=3Dtmp; // =20 postfix=1B$B$NKvHx$KDI2C=1B(B
      =20 register_stack.pop(); // =20 =1B$B%9%?%C%/$+$i%]%C%W$7=1B(Bop=1B$B$K  &= nbsp;   =20 op=3Dregister_stack.top();
     =20 }
      // =20 =1B$B8=3D:_$N1i;;;R$r%9%?%C%/$K%W%C%7%e=1B(B
    &= nbsp;=20 register_stack.push(ch);
   break;

   // = =1B$B:83g8L$G$"$k=1B(B
   case=20 '(':
   =20 register_stack.push('(');
      = break;

   // = =1B$B1&3g8L$G$"$k=1B(B
   case=20 ')':
           = ; =20 op=3Dregister_stack.top();
   =20 while(op!=3D'('){
     tmp=3Dop; = postfix+=3Dtmp; // =20 =1B$BKvHx$KDI2C=1B(B
     = register_stack.pop(); // =20 =1B$B%]%C%W$9$k=1B(B
     = op=3Dregister_stack.top();
   =20 }
    // =1B$B:G8e$K=1B(B ( = =1B$B$r%]%C%W=1B(B
   =20 register_stack.pop();
   break;
=20 }
}
return postfix;
}

// = =1B$B0z?t$N8eCV<0$rI>2A$7$FCM$rJV$9=1B(B
int CExpresion::Eval(string=20 &exp){
//************* = =1B$B8eCV<0$NI>2A%"%k%4%j%:%`=1B(B =20 ****************
// 1.=20 =1B$B0z?t$N<0$r=1B(B1=1B$BJ8;z$:$DI>2A$7!"?tCM$J$i%9%?%C%/$K%W%C%7%e=1B(B=
// 2.=20 =1B$B1i;;;R$J$i%9%?%C%/$+$i=1B(B2=1B$B8D=1B(B(=1B$B$J$1$l$P=1B(B1=1B$B8D=1B= (B)=1B$B%]%C%W$7!"$=3D$N=1B(B
// =20 =1B$B1i;;;R$GI>2A$7!"$=3D$N7k2L$r:F$S%9%?%C%/$K%]%C%W$9$k=1B(B
/= / 3.=20 =1B$B8eCV<0$N%i%9$^$G$$$C$?$i=3D*N;=1B(B
//*********************= *************************************

stack<int> digit_stack; = // =20 =1B$B7k2L$r3JG<$9$k%9%?%C%/=1B(B

int=20 length=3Dexp.length();
for(int = i=3D0;i<length;i++){
char=20 ch=3Dexp[i];

switch(ch){

   // =20 =1B$B?tCM$G$"$k=1B(B
      case '0': case = '1': case '2': case '3':=20 case '4':
   case '5': case '6': case '7': case '8': case=20 '9':
    digit_stack.push(ch-'0'); // =20 =1B$B?tCM$r%W%C%7%e=1B(B
   break;

         &nb= sp; =20 // =1B$B1i;;;R$G$"$k=1B(B
   case '+': case '-': case = '*': case=20 '/':
      int x,y; // =20 2=1B$B$D$NCM=1B(B
      = y=3Ddigit_stack.top(); =20 digit_stack.pop(); // = y=1B$B$r%]%C%W=1B(B
      // =20 =1B$B%9%?%C%/$,6u$G$J$1$l$P=1B(Bx=1B$B$KBeF~=1B(B
   &n= bsp; // =20 =1B$B2?8N$3$N$h$&$K$9$k$+$H$$$&$H!"=1B(B-3=1B$B$J$I$N?t$,B8:_$9$k$?$a=1B(= B
     =20 if(!digit_stack.empty())
      =20 x=3Ddigit_stack.top(); digit_stack.pop();

      // =20 =1B$B1i;;;R$K$h$kI>2A=1B(B
      = if(ch=3D=3D'+') //=20 +=1B$B1i;;=1B(B
      =20 digit_stack.push(x+y);
      else = if(ch=3D=3D'-') =20 // -=1B$B1i;;=1B(B
      =20 digit_stack.push(x-y);
      else = if(ch=3D=3D'*') =20 // *=1B$B1i;;=1B(B
      =20 digit_stack.push(x*y);
      else = if(ch=3D=3D'/'){ =20 // / = =1B$B1i;;$G$O1&%*%Z%i%s%I$G=1B(B0=1B$B$OIT@5=1B(B
   &n= bsp;  =20 if(y=3D=3D0) return 0; // = 0=1B$B=3D|;;$G$O$=3D$l0J>e$N7W;;$O9T$o$J$$=1B(B

      =20 if(x%y=3D=3D0)
         &= nbsp;=20 digit_stack.push(x/y);
      =20 else
           = ;       =20 // =20 =1B$B3d$j@Z$l$J$$$b$N$OIT2D=1B(B(=1B$B2?8N$J$i@Q1i;;$r3d$k1i;;$h$j$bM%@h$= 7$F$d$C$F$$$k$+$i=1B(B)
       &nbs= p;  =20 return 0;
      }
   = break;
=20 }
}
// = digit_stack=1B$B$+$i@hF,MWAG$rJV$9=1B(B
return=20 (digit_stack.empty()?0:digit_stack.top());
}

//   = isPriority()=1B$B4X?t=1B(B
//  =20 =1B$B$3$3$G$O=1B(B*=1B$B1i;;$r=1B(B/=1B$B1i;;$h$j$b@h$K9T$&$[$&$,ET9g$,$$= $$$N$G=1B(B
//   =1B$B$3$N4X?t$G$O0c$/$9$k=1B(B
bool=20 CExpresion::isPriority(char op1,char op2) const{
char = op[2]; =20 // =1B$B1i;;;R=1B(B
int op_priority[2]; // = =1B$BM%@h=3Dg0L=1B(B

op[0]=3Dop1; = op[1]=3Dop2;
for(int=20 i=3D0;i<2;i++){
   if(op[i]=3D=3D'(') // (=20 =1B$B$O:GDc=1B(B
    = op_priority[i]=3D0;
     =20 else if(op[i]=3D=3D'+' || op[i]=3D=3D'-') // = +,-=1B$B$O:GDc=1B(B
   =20 op_priority[i]=3D1;
   else = if(op[i]=3D=3D'/')
   =20 op_priority[i]=3D2;
   else = if(op[i]=3D=3D'*')
   =20 op_priority[i]=3D3;
}
return=20 (op_priority[0]-op_priority[1]>=3D0?true:false);
}

//-------------------------------------------------------= -

//   = CTicket=1B$B%/%i%9=1B(B
//  =20 4=1B$B7e$N?t;z$r%a%s%P$H$7$F;}$A=1B(B
//  =20 =1B$B2DG=3D$J8B$j$N<0$NNs5s$r%a%s%P$H$7$F$b$D=1B(B
//-----------------= -----------------------------------------------------
class=20 CTicket{
public:
CTicket(int); // = =1B$B%3%s%9%H%i%/%?=1B(B
void=20 MakeExpresion(); // = =1B$B30It4X?t=1B(B
queue<CExpresion *>=20 expresions; // = =1B$B$3$3$K<0$,J]B8$5$l$k=1B(B
private:
void=20 SubMakeExpresion(string &,char *,int); // =20 =1B$B bool isEmptyDigit(char *) = const; // =20 =1B$B?t;z$O;H$$@Z$C$?$+=1B(B
// = =1B$B<0$K:8=1B(B/=1B$B1&3g8L$rA^F~$G$-$k$+=1B(B
bool=20 isEnableInsertRightBrackets(string &,int &) const;
bool = isEnableInsertLeftBrackets(string &,int &,char *) = const;
int=20 num; // =1B$B%3%s%9%H%i%/%?$KEO$5$l$k@0?t=1B(B
char = digit[N_DIGIT]; // =20 =1B$B$I$N?t;z$r;H$C$?$+=1B(B
const char NOTHING; // = =1B$B$=3D$N?t;z$O;H$($J$$$3$H$rI=3D$9Dj?t=1B(B
};
//---------------= -------------------------------------------------------

// =20 CTicket=1B$B%/%i%9//----------------------------------------= -------------------------------

// = =1B$B%3%s%9%H%i%/%?=1B(B
CTicket::CTicket(int num) :=20 NOTHING(-1){
// =20 num=1B$B$O=1B(B4=1B$B7e!"<+A3?t$G$"$k=1B(B
this->num=3Dnum;

for(int=20 i=3DN_DIGIT-1;i>=3D0;i--){
=20 digit[i]=3Dnum%10+'0';
num/=3D10;
}
}

// = =1B$B$9$Y$F$N7e$N?t;z$r;H$&G$0U$N<0$r@8@.$7!"=1B(B
// =20 =1B$B%Y%/%?=1B(Bexpresions=1B$B$K$=3D$l$>$l$rA^F~=1B(B
void = CTicket::MakeExpresion(){
// =20 MakeExpresion=1B$B$NJd:44X?t$r8F$S=3DP$9=1B(B
// = =1B$BBh=1B(B1=1B$B0z?t=1B(B:=1B$B:#$^$G$N<0$,F~$C$F$$$kJ8;zNs=1B(B
&nb= sp;// =20 =1B$BBh=1B(B3=1B$B0z?t=1B(B:=1B$B:#$^$G$G;H$C$??t;z=1B(B = =1B$BBh=1B(B4=1B$B0z?t=1B(B:=1B$B:#$^$G$N:83g8L?t=1B(B
string=20 exp;
SubMakeExpresion(exp,digit,0);
}

// = MakeExpresion()=1B$B$N%5%V4X?t=1B(B
void=20 CTicket::SubMakeExpresion(string &e,char *d,int=20 nLeftBrackets){
string exp; // = =1B$BJ8;zNs<0=1B(B
string ch; =20 // =1B$B0l;~JQ?t=1B(B
char digits[N_DIGIT]; = // =20 =1B$B;H$($k?t;z$NNs5s=1B(B(=1B$B;H$($J$$?t;z$O=1B(BNOTING)

for(int i=3D0;i<N_DIGIT;i++) =20 digits[i]=3Dd[i];

// =20 1=1B$B$DA0$KCV$$$?1i;;;R!"?t;z!"3g8L$K$h$kJ,4t=1B(B
if(e.empty()= ){
// =20 =1B$B:G=3Di$KCV$1$k$N$O?t;z!":83g8L=1B(B
for(int = i=3D0;i<N_DIGIT;i++){
   char=20 c=3Ddigits[i];
   if(c!=3DNOTHING){ // =20 =1B$B;H$($k?t;z$rA*$V=1B(B
    char = temp=3Ddigits[i];
   =20 exp=3Dc;
    = digits[i]=3DNOTHING;
   =20 SubMakeExpresion(exp,digits,nLeftBrackets);
   =20 digits[i]=3Dtemp;
   }
}
// = =1B$B:83g8L=1B(B
=20 SubMakeExpresion(string("("),digits,nLeftBrackets+1);
= }else{   =20 // =1B$B$=3D$l0J9_$NJ8;z=1B(B
exp=3De; // = e=1B$B$r=1B(Bexp=1B$B$K%3%T!<=1B(B

// = =1B$B:G8e$NJ8;z$r>H9g=1B(B
=20 switch(exp[exp.size()-1]){
   // =20 =1B$BA0$NJ8;z$,?t;z$^$?$O1&3g8L$G$O1i;;;R$+1&3g8L=1B(B
  &nb= sp;   case '0': case '1':=20 case '2': case '3': case '4':
      case = '5': case=20 '6': case '7': case '8': case '9':
   case = ')':

    = if(!isEmptyDigit(digits)){ =20 // = =1B$B?t;z$O;H$$@Z$C$F$J$$=1B(B
      &nb= sp; // =20 =1B$B1i;;;R=1B(B
        char=20 operators[]=3D"+-*/";
      &n= bsp;=20 for(int=20 i=3D0;i<N_DIGIT;i++){
       &nb= sp;=20 ch=3Doperators[i];
        =20 SubMakeExpresion(exp+ch,digits,nLeftBrackets);
    = ;=20 }
       =20
           &nb= sp;       =20 // = =1B$B1&3g8L$rA^F~$G$-$k$J$iA^F~=1B(B
    =20 if(isEnableInsertRightBrackets(exp,nLeftBrackets))
   &= nbsp;       =20 SubMakeExpresion(exp+")",digits,nLeftBrackets-1);

    }else{ // =20 =1B$B?t;z$O;H$$@Z$C$F$$$k$N$G1&3g8L$rI,MW$K1~$8$F=1B(B
  &nb= sp;     =20 // = =1B$BIU$12C$(!"=3DPMh>e$,$C$?<0$r%-%e!<$KDI2C=1B(B
   &= nbsp; for(int=20 i=3D0;i<nLeftBrackets;i++) =20 exp+=3D")";
     expresions.push(new=20 CExpresion(exp));
    }
   = break;

// =20 =1B$BA0$NJ8;z$,1i;;;R$+:83g8L$J$i?t;z$^$?$O:83g8L=1B(B
= case '+': case '-': case=20 '*': case '/': case '(':

    // = =1B$B?t;z$NNs5s=1B(B
   =20 for(int i=3D0;i<N_DIGIT;i++){
    =20 if(digits[i]!=3DNOTHING){
       &n= bsp;           &nb= sp;   =20 char temp=3Ddigits[i]; // =20 digits[i]=1B$B$r%a%b%j$KB`Hr=1B(B
      = digits[i]=3DNOTHING; =20 // digits[i]=1B$B$r;H$C$?=1B(B
      = // =20 exp=1B$B$NKvHx$K$D$J$2$F:F$S:F5"=1B(B
      = ch=3Dtemp;=20 SubMakeExpresion(exp+ch,digits,nLeftBrackets);
    = ; =20 digits[i]=3Dtemp; // = =1B$B85$KLa$9=1B(B
    =20 }
    }
    // =20 =1B$B:83g8L$rA^F~$G$-$k$J$iA^F~$7$F:F$S:F5"=1B(B
   =20 if(isEnableInsertLeftBrackets(exp,nLeftBrackets,digits))
  &= nbsp;    =20 SubMakeExpresion(exp+"(",digits,nLeftBrackets+1);

break;
=20 }
}
}

// = =1B$B0z?t$N?t;zJ8;zG[Ns$,;D$C$F$$$k$+=1B(B
bool=20 CTicket::isEmptyDigit(char *digits) const{
for(int=20 i=3D0;i<N_DIGIT;i++){
= if(digits[i]!=3DNOTHING)
return=20 false;
}
return true;
}

// = =1B$B0z?t$NJ8;zNs$rD4$Y!"1&3g8L$rA^F~$G$-$k$+$I$&$+$rJV$9=1B(B
bool=20 CTicket::isEnableInsertRightBrackets(string &exp,int = &nLeftBrackets)=20 const{
// = =1B$B8=3D:_$N%$%s%G%C%/%9$+$i@hF,J}8~$K=1B(B3=1B$B$DJ8;z$rD4$Y=1B(B
&n= bsp;// =20 +,-,(=1B$B$,$"$l$PA^F~$OIT2D=1B(B
if(nLeftBrackets>0){
&nb= sp;   =20 for(int i=3D0;i<3;i++){
      int=20 index=3D(exp.size()-1)-i;
      = if(index<0 ||=20 exp[index]=3D=3D'(')
       return = false;
=20 }
return true;
}
return = false;
}

// = =1B$B0z?t$NJ8;zNs$rD4$Y!":83g8L$rA^F~$G$-$k$+$I$&$+$rJV$9=1B(B
bool=20 CTicket::isEnableInsertLeftBrackets(string=20 &exp,
= int=20 &nLeftBrackets,char *digits) = const{
if(nLeftBrackets<1){ =20 // =1B$B8=3D:_$N:83g8L$,=1B(B1=1B$B$h$j>.$5$$$J$i=1B(B
= // = =1B$B8=3D:_$N?tCM$,=1B(B1=1B$B8D0J>e;D$C$F$$$l$P=1B(BOK
int=20 sum=3D0;
for(int i=3D0;i<N_DIGIT;i++)=20 sum+=3D(digits[i]!=3DNOTHING?1:0);
return=20 (sum>=3D2?true:false);
}else
return = false;
}

//-------------------------------------------------------= -------------------

// =20 atoi()=1B$B4X?t$O=1B(B<stdlib.h>=1B$B$KDj5A$5$l$F$$$k$,$$$i$J$$4X?t= $,$D$$$F$/$k$N$G=1B(B
// =1B$B$3$3$G$O<+J,$Gint=20 atoi(char *number){
int integer=3D0;
bool=20 positive=3D(number[0]=3D=3D'-'?false:true); // = =1B$B@5$+Ii$+=1B(B

int=20 i=3D(positive?0:1);
for(;number[i]!=3D0;i++){
int=20 digit=3Dnumber[i]-'0';
if(digit>=3D0 && = digit<=3D9){ // =20 =1B$B?t;z$G$"$k=1B(B
= integer=3D10*integer+digit;
}else
=20 return 0;
}
return=20 positive?integer:-integer;
}

/********************************************************= *********/
// =20 CTicket=1B$B%/%i%9$H=1B(BCExpresion=1B$B%/%i%9$N%I%i%$%P%W%m%0%i%`=1B(Bvoid main(int argc,char=20 *argv[]){

char=20 *fname=3D"ticket.txt";
if(argc=3D=3D2) =20 fname=3Dargv[1];

// = =1B$B=3DPNO%U%!%$%k%*!<%W%s=1B(B
ofstream=20 out(fname,ios::out);

// = =1B$BF~NO=1B(B4=1B$B7e@0?t=1B(B
char=20 integer[10];
int n;
do{
= cout<<"Input 4=20 figures integer:";
=20 cin>>integer;
= n=3Datoi(integer);
}while(n<1000 ||=20 n>=3D10000);

// = CTicket=1B$B%*%V%8%'%/%H$N@8@.$H<0$N:n@.=1B(B
CTicket=20 ticket(n);
ticket.MakeExpresion();

// = =1B$BI>2ACM$,=1B(B10=1B$B$K$J$k$b$N$r8+$D$1$k=1B(B
CExpresion=20 *exp;
int size=3Dticket.expresions.size();
for(int=20 i=3D0;i<size;i++){
= exp=3Dticket.expresions.front();
=20 if(*exp=3D=3D10){
=20 out<<exp<<endl;
=20 cout<<exp<<endl;
}
=20 ticket.expresions.pop();
}
}
/****************************= ****************************************/

// =20 Result

Input 4 figures=20 integer:6789
6+8/(9-7)
6-8/(7-9)
6*(7+8)/9
6*(8+7)/9
8*(9-= 7)-6
8/(9-7)+6
(7+8)*6/9
(8+7)*6/9
(9-7)*8-6

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