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Class No.07  Data Structures http://ecomputernotes.com
Infix to Postfix Infix Postfix A + B A B + 12 + 60 – 23 12 60 + 23 – (A + B)*(C – D ) A B + C D – * A  B * C – D + E/F A B  C*D – E F/+ http://ecomputernotes.com
Infix to Postfix ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Evaluating Postfix  ,[object Object],[object Object],[object Object],http://ecomputernotes.com
Evaluating Postfix Stack s; while( not end of input ) { e = get next element of input if( e is an operand ) s.push( e ); else { op2 = s.pop(); op1 = s.pop(); value = result of applying operator ‘e’ to op1 and op2; s.push( value ); } } finalresult = s.pop(); http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2   7 2 49 49 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2   7 2 49 49 3 7 2 49 49,3 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2   7 2 49 49 3 7 2 49 49,3 + 49 3 52 52 http://ecomputernotes.com
Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2   7 2 49 49 3 7 2 49 49,3 + 49 3 52 52 http://ecomputernotes.com
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],http://ecomputernotes.com
Converting Infix to Postfix ,[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix ,[object Object],[object Object],[object Object],[object Object]
Converting Infix to Postfix if( s.empty() || symb != ‘)’ )  s.push( c ); else s.pop(); // discard the ‘(‘  prcd( ‘(‘, op ) = FALSE for any operator prcd( op, ‘)’ ) = FALSE for any operator other than ‘)’ prcd( op, ‘)’ ) = TRUE for any operator  other than ‘(‘ prcd( ‘)’, op ) = error for any operator.

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Computer notes - Advanced Subqueries
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computer notes - Data Structures - 36
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computer notes - Data Structures - 14
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computer notes - Data Structures - 10
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Computer notes - Controlling User Access
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computer notes - Data Structures - 7

  • 1. Class No.07 Data Structures http://ecomputernotes.com
  • 2. Infix to Postfix Infix Postfix A + B A B + 12 + 60 – 23 12 60 + 23 – (A + B)*(C – D ) A B + C D – * A  B * C – D + E/F A B  C*D – E F/+ http://ecomputernotes.com
  • 3.
  • 4.
  • 5. Evaluating Postfix Stack s; while( not end of input ) { e = get next element of input if( e is an operand ) s.push( e ); else { op2 = s.pop(); op1 = s.pop(); value = result of applying operator ‘e’ to op1 and op2; s.push( value ); } } finalresult = s.pop(); http://ecomputernotes.com
  • 6. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 http://ecomputernotes.com
  • 7. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 http://ecomputernotes.com
  • 8. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 http://ecomputernotes.com
  • 9. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 http://ecomputernotes.com
  • 10. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 http://ecomputernotes.com
  • 11. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 http://ecomputernotes.com
  • 12. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 http://ecomputernotes.com
  • 13. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 http://ecomputernotes.com
  • 14. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 http://ecomputernotes.com
  • 15. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 http://ecomputernotes.com
  • 16. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 http://ecomputernotes.com
  • 17. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2 http://ecomputernotes.com
  • 18. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2  7 2 49 49 http://ecomputernotes.com
  • 19. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2  7 2 49 49 3 7 2 49 49,3 http://ecomputernotes.com
  • 20. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2  7 2 49 49 3 7 2 49 49,3 + 49 3 52 52 http://ecomputernotes.com
  • 21. Evaluating Postfix Evaluate 6 2 3 + - 3 8 2 / + * 2  3 + Input op1 op2 value stack 6 6 2 6,2 3 6,2,3 + 2 3 5 6,5 - 6 5 1 1 3 6 5 1 1,3 8 6 5 1 1,3,8 2 6 5 1 1,3,8,2 / 8 2 4 1,3,4 + 3 4 7 1,7 * 1 7 7 7 2 1 7 7 7,2  7 2 49 49 3 7 2 49 49,3 + 49 3 52 52 http://ecomputernotes.com
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36. Converting Infix to Postfix if( s.empty() || symb != ‘)’ ) s.push( c ); else s.pop(); // discard the ‘(‘ prcd( ‘(‘, op ) = FALSE for any operator prcd( op, ‘)’ ) = FALSE for any operator other than ‘)’ prcd( op, ‘)’ ) = TRUE for any operator other than ‘(‘ prcd( ‘)’, op ) = error for any operator.

Editor's Notes

  1. End of lecture 6
  2. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  3. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  4. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  5. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  6. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  7. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  8. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  9. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  10. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  11. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  12. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  13. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  14. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  15. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  16. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  17. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  18. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  19. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  20. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  21. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  22. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  23. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  24. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  25. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  26. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  27. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  28. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  29. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  30. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  31. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  32. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  33. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  34. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.
  35. A primary concern for this course is efficiency. You might believe that faster computers make it unnecessary to be concerned with efficiency. However… So we need special training.