Handout #4

Write the following functions

1. Given a list vectors [(x1, y1, z1); (x2, y2, z2); ...],
   add them to determine the resultant vector.

   resultvector [(1,2,3); (4,5,6)] -> [(5, 7, 9)]







2. Fine the smallest element in a list.

   find_small [100; 2; 3; 4; 5] -> 2






3. Given a company's monthly paystubs for all employees,
   calculate the average income per month of each employee's.
   The input is an unordered list of the form
   [(id1, monthid1, wage1); (id1, monthid2, wage2), (id2,
   monthid3, wage3); ...], and the output should be of the form
   [(id1, avgwage1); (id2, avgwage2);...].












4. Run-length encoding

   encode [ 1; 1; 1; 2; 3; 3; 3; 3; 4; 4; 2; 2 ] ->
          [(1,3);(2,1);(3,4);(4,2);(2,2)]