//  infix.java
//  converts infix arithmetic expressions to postfix
//  to run this program: C>java InfixApp
import  java.io. * ;             //  for I/O
////////////////////////////////////////////////////////////////
class  StackX
   
{
   
private int maxSize;
   
private char[] stackArray;
   
private int top;
//--------------------------------------------------------------
   public StackX(int s)       // constructor
      {
      maxSize 
= s;
      stackArray 
= new char[maxSize];
      top 
= -1;
      }

//--------------------------------------------------------------
   public void push(char j)  // put item on top of stack
      { stackArray[++top] = j; }
//--------------------------------------------------------------
   public char pop()         // take item from top of stack
      return stackArray[top--]; }
//--------------------------------------------------------------
   public char peek()        // peek at top of stack
      return stackArray[top]; }
//--------------------------------------------------------------
   public boolean isEmpty()  // true if stack is empty
      return (top == -1); }
//-------------------------------------------------------------
   public int size()         // return size
      return top+1; }
//--------------------------------------------------------------
   public char peekN(int n)  // return item at index n
      return stackArray[n]; }
//--------------------------------------------------------------
   public void displayStack(String s)
      
{
      System.out.print(s);
      System.out.print(
"Stack (bottom-->top): ");
      
for(int j=0; j<size(); j++)
         
{
         System.out.print( peekN(j) );
         System.out.print(
' ');
         }

      System.out.println(
"");
      }

//--------------------------------------------------------------
   }
   //  end class StackX
////////////////////////////////////////////////////////////////
class  InToPost                   //  infix to postfix conversion
    {
   
private StackX theStack;
   
private String input;
   
private String output = "";
//--------------------------------------------------------------
   public InToPost(String in)   // constructor
      {
      input 
= in;
      
int stackSize = input.length();
      theStack 
= new StackX(stackSize);
      }

//--------------------------------------------------------------
   public String doTrans()      // do translation to postfix
      {
      
for(int j=0; j<input.length(); j++)      // for each char
         {
         
char ch = input.charAt(j);            // get it
         theStack.displayStack("For "+ch+" "); // *diagnostic*
         switch(ch)
            
{
            
case '+':               // it's + or -
            case '-':
               gotOper(ch, 
1);      // go pop operators
               break;               //   (precedence 1)
            case '*':               // it's * or /
            case '/':
               gotOper(ch, 
2);      // go pop operators
               break;               //   (precedence 2)
            case '(':               // it's a left paren
               theStack.push(ch);   // push it
               break;
            
case ')':               // it's a right paren
               gotParen(ch);        // go pop operators
               break;
            
default:                // must be an operand
               output = output + ch; // write it to output
               break;
            }
  // end switch
         }
  // end for
      while!theStack.isEmpty() )     // pop remaining opers
         {
         theStack.displayStack(
"While ");  // *diagnostic*
         output = output + theStack.pop(); // write to output
         }

      theStack.displayStack(
"End   ");     // *diagnostic*
      return output;                   // return postfix
      }
  // end doTrans()
//--------------------------------------------------------------
   public  void gotOper(char opThis, int prec1)
      
{                                // got operator from input
      while!theStack.isEmpty() )
         
{
         
char opTop = theStack.pop();
         
if( opTop == '(' )            // if it's a '('
            {
            theStack.push(opTop);      
// restore '('
            break;
            }

         
else                          // it's an operator
            {
            
int prec2;                 // precedence of new op

            
if(opTop=='+' || opTop=='-')  // find new op prec
               prec2 = 1;
            
else
               prec2 
= 2;
            
if(prec2 < prec1)          // if prec of new op less
               {                       //    than prec of old
               theStack.push(opTop);   // save newly-popped op
               break;
               }

            
else                       // prec of new not less
               output = output + opTop;  // than prec of old
            }
  // end else (it's an operator)
         }
  // end while
      theStack.push(opThis);           // push new operator
      }
  // end gotOp()
//--------------------------------------------------------------
   public  void gotParen(char ch)
      
{                             // got right paren from input
      while!theStack.isEmpty() )
         
{
         
char chx = theStack.pop();
         
if( chx == '(' )           // if popped '('
            break;                  // we're done
         else                       // if popped operator
            output = output + chx;  // output it
         }
  // end while
      }
  // end popOps()
//--------------------------------------------------------------
   }
   //  end class InToPost
////////////////////////////////////////////////////////////////
class  InfixApp
   
{
   
public static void main(String[] args) throws IOException
      
{
      String input, output;
      
while(true)
         
{
         System.out.print(
"Enter infix: ");
         System.out.flush();
         input 
= getString();         // read a string from kbd
         if( input.equals("") )       // quit if [Enter]
            break;
                                      
// make a translator
         InToPost theTrans = new InToPost(input);
         output 
= theTrans.doTrans(); // do the translation
         System.out.println("Postfix is " + output + '\n');
         }
  // end while
      }
  // end main()
//--------------------------------------------------------------
   public static String getString() throws IOException
      
{
      InputStreamReader isr 
= new InputStreamReader(System.in);
      BufferedReader br 
= new BufferedReader(isr);
      String s 
= br.readLine();
      
return s;
      }

//--------------------------------------------------------------
   }
   //  end class InfixApp
////////////////////////////////////////////////////////////////