1 |
h06 |
CS32 F19 |
Name: | ||||
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(as it would appear on official course roster) | ||||
Umail address: | @umail.ucsb.edu | section 9am, 10am, 11am, 12pm |
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Optional: name you wish to be called if different from name above. | ||||
Optional: name of "homework buddy" (leaving this blank signifies "I worked alone" |
h06: Binary Search Review
ready? | assigned | due | points |
---|---|---|---|
true | Tue 10/15 02:00PM | Tue 10/22 02:00PM |
You may collaborate on this homework with AT MOST one person, an optional "homework buddy".
MAY ONLY BE TURNED IN IN THE LECTURE LISTED ABOVE AS THE DUE DATE,
OR IF APPLICABLE, SUBMITTED ON GRADESCOPE. There is NO MAKEUP for missed assignments;
in place of that, we drop the lowest scores (if you have zeros, those are the lowest scores.)
Reading: Binary Search Review, DS 12.1, Review 2.6, 6.1
- (10 pts) Fill in the information in the header. The following are required to get the 10 "participation" points.
- Filling in your name and umail address.
Also: For paper submission PLEASE submit on ONE SHEET OF PAPER, double-sided if at all possible. If you must submit on two printed sheets write name on BOTH sheets and no staples, paperclips, or folded corners.
Please also read the handout http://cs.ucsb.edu/~richert/cs32/misc/h06-handout.pdf
- Filling in your name and umail address.
- (10 pts) Given the definition of H(n) above, give the value of each of these expressions: H(6) = H(7) = H(8) = H(1,000) = H(1,000,000) =
- (10 pts) Read over pg. 86 about the STL pair template class, as well as the information on page 1 of the handout http://cs.ucsb.edu/~richert/cs32/misc/h06-handout.pdf
. Then write the function definition for
distanceBetween
in the space below. You may assume that the#include
directives for math andutility, as well as theusing namespace std;
statement has already appeared in the file.- (10 pts) Below, please show the steps of the binary search algorithm when searching for 55 in the array shown. Show the steps involved. Note that 55 is in the array. Note that the algorithm as shown in the book must do an actual recursive call on an array of size 0 before it determines that the element is not found. Show that call as well. An example of a solved problem is given in the handout: http://cs.ucsb.edu/~richert/cs32/misc/h06-handout.pdf:
target=55 step values passed in middle
(first + size/2)array values values passed to next step first
passed insize
passed ina[0] a[1] a[2] a[3] a[4] a[5] a[6] a[7] a[8] a[9] a[10] first =
first, or
middle+1size =
size/2, or
(size-1)/2step 1 0 11 5 = 0 + (11/2) 13 21 34 41 55 66 72 86 94 107 118 step 2 step 3 step 4 step 5 - (10 pts) Below, please show the steps of the binary search algorithm when searching for 15 in the array shown. Show the steps involved. Note that 15 is not in the array. Note that the algorithm as shown in the book must do an actual recursive call on an array of size 0 before it determines that the element is not found. Show that call as well. An example of a solved problem is given in the handout: http://cs.ucsb.edu/~richert/cs32/misc/h06-handout.pdf:
target=15 step values passed in middle
(first + size/2)array values values passed to next step first
passed insize
passed ina[0] a[1] a[2] a[3] a[4] a[5] a[6] a[7] a[8] a[9] a[10] first =
first, or
middle+1size =
size/2, or
(size-1)/2step 1 0 11 5 = 0 + (11/2) 13 21 34 41 55 66 72 86 94 107 118 step 2 step 3 step 4 step 5
Note typo: The image at right shows a CORRECTED version of the formula for the halving function from p. 593. (The log term should have the floor function applied to it—in some printings of the textbook, this is missing due to a typo.)