foreach token in token list
{
  if ((token == INTEGER) || (token == IDENTIFIER) || (token == SINGLE QUOTE) || (token == DOUBLE QUOTE) || (token == STRING))
  {
    display token 
  }
  else
  {
    if (token == LEFT PARENTHESIS)
    {
      push token on stack
    }
    else
    {
      if (token == RIGHT PARENTHESIS)
      {
        while (top of stack token != LEFT PARENTHESIS)
        {
          display token at top of stack 
          pop stack
        }
        pop stack
      }
      else
      {
        if ((token == PLUS) || (token == MINUS) || (token == ASTERISK) || (token == DIVIDE) || (token == MODULO) || (token == ASSIGNMENT))
        {
          if (stack is empty)
          {
            push token on stack
          }
          else
          {
            if ((token == PLUS) || (token == MINUS))
            {
              finished = FALSE;
              while (not finished)
              {
                if (stack is not empty)
                {
                  if ((top of stack token == PLUS) or (top of stack token == MINUS) or (top of stack token == ASTERISK) or (top of stack token == DIVIDE) or (top of stack token == MODULO))
                  {
                    display token at top of stack
                    pop stack
                  }
                  else
                  {
                    push token on stack
                    finished = TRUE;
                  }
                }
                else
                {
                  push token on stack
                  finished = TRUE;
                }
              }
            }
            else
            {
              if ((token == TOKEN_ASTERISK) || (token == DIVIDE) || (token == TOKEN_MODULO))
              {
                finished = FALSE;
                while (not finished)
                {
                  if (stack is not empty)
                  { 
                    if ((top of stack token == ASTERISK) || (top of stack token == DIVIDE) || (top of stack token == TOKEN_MODULO))
                    { 
                      display token at top of stack
                      pop stack
                    }
                    else
                    { 
                      push token on stack
                      finished = TRUE;
                    }
                  }
                  else
                  { 
                    push token on stack
                    finished = TRUE;
                  }
                }
              }
              else
              {
                if (token == ASSIGNMENT OPERATOR)
                {
                  finished = FALSE;
                  while (not finished)
                  {
                    if (stack is not empty)
                    { 
                      if ((token == PLUS) || (token == MINUS) || (token == ASTERISK) || (token == DIVIDE) || (token == MODULO))
                      { 
                        display token at top of stack
                        pop stack
                      }
                      else
                      { 
                        push token on stack
                        finished = TRUE;
                      }
                    }
                    else
                    { 
                      push token on stack
                      finished = TRUE;
                    }
                  }
                }
              }
            }
          }
        }
      }
    }
  }
}
while (stack is not empty)
{
  display token at top of stack
  pop stack
}