[Tutor] To Find the Answers
Sujit Baniya
itsursujit at gmail.com
Sun Dec 2 05:39:19 CET 2012
*Write a function named countRepresentations that returns the
number*>* of ways that an amount of money in rupees can be represented
as rupee*>* notes. For this problem we only use rupee notes in
denominations of*>* 1, 2, 5, 10 and 20 rupee notes.*>**>* The
signature of the function is:*>* def countRepresentations(int
numRupees)*>**>* For example, countRepresentations(12) should return
15 because 12*>* rupees can be represented in the following 15
ways.*>* 1. 12 one rupee notes*>* 2. 1 two rupee note plus 10 one
rupee notes*>* 3. 2 two rupee notes plus 8 one rupee notes*>* 4. 3
two rupee notes plus 6 one rupee notes*>* 5. 4 two rupee notes plus
4 one rupee notes*>* 6. 5 two rupee notes plus 2 one rupee notes*>*
7. 6 two rupee notes*>* 8. 1 five rupee note plus 7 one rupee
notes*>* 9. 1 five rupee note, 1 two rupee note and 5 one rupee
notes*>* 10. 1 five rupee note, 2 two rupee notes and 3 one rupee
notes*>* 11. 1 five rupee note, 3 two notes and 1 one rupee note*>*
12. 2 five rupee notes and 2 one rupee notes*>* 13. 2 five rupee
notes and 1 two rupee note*>* 14. 1 ten rupee note and 2 one rupee
notes*>* 15. 1 ten rupee note and 1 two rupee note*>**>* Hint: Use a
nested loop that looks like this. Please fill in the*>* blanks
intelligently, i.e. minimize the number of times that the if*>*
statement is executed.*>* for (int rupee20=0; rupee20<=__;
rupee20++)*>* for (int rupee10=0; rupee10<=__; rupee10++)*>*
for (int rupee5=0; rupee5<=__; rupee5++)*>* for (int
rupee2=0; rupee2<=__; rupee2++)*>* for (int rupee1=0;
rupee1<=__; rupee1++)*>* {*>* if (___)*>*
count++*>* }*
--
Sujit Baniya
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