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76 \title[Exercises]{Exercises} |
76 \title[Exercises]{Exercises} |
77 |
77 |
78 \author[FOSSEE] {FOSSEE} |
78 \author[FOSSEE] {FOSSEE} |
79 |
79 |
80 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} |
80 \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} |
81 \date[] {1, November 2009\\Day 2} |
81 \date[] {1 November, 2009\\Day 2, Session 4} |
82 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
82 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
83 |
83 |
84 %\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo} |
84 %\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo} |
85 %\logo{\pgfuseimage{iitmlogo}} |
85 %\logo{\pgfuseimage{iitmlogo}} |
86 |
86 |
109 \begin{frame} |
109 \begin{frame} |
110 \titlepage |
110 \titlepage |
111 \end{frame} |
111 \end{frame} |
112 |
112 |
113 \begin{frame}{Problem 1.1} |
113 \begin{frame}{Problem 1.1} |
114 The aliquot of a number is defined as: the sum of the \emph{proper} divisors of the number. For example, aliquot(12) = 1 + 2 + 3 + 4 + 6 = 16.\\ |
114 The aliquot of a number is defined as: the sum of the \emph{proper} divisors of the number. \\For example: |
|
115 \center{aliquot(12) = 1 + 2 + 3 + 4 + 6 = 16.}\\ |
115 Write a function that returns the aliquot number of a given number. |
116 Write a function that returns the aliquot number of a given number. |
116 \end{frame} |
117 \end{frame} |
117 |
118 |
118 \begin{frame}{Problem 1.2} |
119 \begin{frame}{Problem 1.2} |
119 A pair of numbers (a, b) is said to be \alert{amicable} if the aliquot number of a is b and the aliquot number of b is a.\\ |
120 Pair of numbers (a, b) is said to be \alert{amicable} if aliquot number of a is b and aliquot number of b is a.\\ |
120 Example: \texttt{220, 284}\\ |
121 Example: \texttt{220, 284}\\ |
121 Write a program that prints all four digit amicable pairs. |
122 Write a program that prints all four digit amicable pairs. |
122 |
123 |
123 \inctime{20} |
124 \inctime{20} |
124 \end{frame} |
125 \end{frame} |