-
Notifications
You must be signed in to change notification settings - Fork 31
/
ser222_exam3_practice.lyx
3429 lines (2344 loc) · 52.4 KB
/
ser222_exam3_practice.lyx
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass article
\use_default_options true
\maintain_unincluded_children false
\language english
\language_package default
\inputencoding auto
\fontencoding global
\font_roman "default" "default"
\font_sans "default" "default"
\font_typewriter "default" "default"
\font_math "auto" "auto"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\use_dash_ligatures true
\graphics default
\default_output_format default
\output_sync 0
\bibtex_command default
\index_command default
\paperfontsize default
\spacing single
\use_hyperref false
\papersize default
\use_geometry true
\use_package amsmath 1
\use_package amssymb 1
\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
\use_package mathtools 1
\use_package mhchem 1
\use_package stackrel 1
\use_package stmaryrd 1
\use_package undertilde 1
\cite_engine basic
\cite_engine_type default
\biblio_style plain
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification true
\use_refstyle 1
\use_minted 0
\branch blank
\selected 1
\filename_suffix 0
\color #faf0e6
\end_branch
\branch soln
\selected 0
\filename_suffix 0
\color #faf0e6
\end_branch
\index Index
\shortcut idx
\color #008000
\end_index
\leftmargin 2.54cm
\topmargin 2.54cm
\rightmargin 2.54cm
\bottommargin 2.54cm
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\paragraph_indentation default
\is_math_indent 0
\math_numbering_side default
\quotes_style english
\dynamic_quotes 0
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\end_header
\begin_body
\begin_layout Standard
\align center
\size huge
SER 222
\series bold
Practice
\series default
Exam 3
\begin_inset Branch soln
inverted 0
status collapsed
\begin_layout Standard
\size huge
(SOLN)
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\align center
Updated 4/21/2024
\end_layout
\begin_layout Standard
\align center
\size huge
\begin_inset Branch soln
inverted 0
status open
\begin_layout Standard
NOT FOR STUDENT DISTRIBUTION OR DEMONSTRATION
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\end_layout
\begin_layout Standard
Last Name:
\begin_inset ERT
status open
\begin_layout Plain Layout
$
\backslash
rule{6cm}{0.15mm}$
\end_layout
\end_inset
\end_layout
\begin_layout Standard
First Name:
\begin_inset ERT
status open
\begin_layout Plain Layout
$
\backslash
rule{5.94cm}{0.15mm}$
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Last 4 digits of ASU ID:
\begin_inset ERT
status open
\begin_layout Plain Layout
$
\backslash
rule{4.05cm}{0.15mm}$
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\begin_inset Separator latexpar
\end_inset
\end_layout
\begin_layout Standard
\align center
Exam Instructions
\end_layout
\begin_layout Standard
The exam is open one note card (3x5 inches).
\bar under
No electronic items are allowed.
Write legibly.
\bar default
Please use a pen (instead of a pencil) if you have one.
There are 110 points available and the exam must be completed in 60 minutes.
This exam has three types of questions:
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\end_layout
\begin_layout Standard
\series bold
Multiple choice questions:
\series default
There are 35 points of multiple choice questions.
An answer is selecting one option among the choices given.
Each multiple choice is worth 2 to 5 points.
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\end_layout
\begin_layout Standard
\series bold
Short answer questions:
\series default
There are 30 points of short answer questions.
A typical answer is one or two sentences.
Each short answer question is worth 5 or 10 points.
\end_layout
\begin_layout Standard
\begin_inset Formula $ $
\end_inset
\end_layout
\begin_layout Standard
\series bold
Programing questions:
\series default
The programming questions are given near the end of the paper.
They must be answered on the question paper.
There are 45 points of write-in programming questions.
\end_layout
\begin_layout Standard
\begin_inset Branch blank
inverted 0
status open
\begin_layout Standard
\begin_inset VSpace 6cm
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Branch soln
inverted 0
status open
\begin_layout Standard
\begin_inset VSpace 2cm
\end_inset
\end_layout
\begin_layout Standard
Please note that staff answers are very concise.
Students would normally give longer explanations.
\begin_inset VSpace 3cm
\end_inset
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\align right
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="3">
<features tabularvalignment="middle">
<column alignment="left" valignment="top">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
<row>
<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\series bold
Topic
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\series bold
Earned
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\series bold
Possible
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
MC/SA: Binary Search Trees
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
10
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
MC/SA: Hashtables
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
20
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
MC/SA: Undirected Graphs
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
20
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
MC/SA: Directed Graphs
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
15
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
Prog: Binary Search Trees
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
30
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
Prog: Undirected Graphs
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
0
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="left" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
Prog: Directed Graphs
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
15
\end_layout
\end_inset
</cell>
</row>
<row>
<cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
Total:
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_layout
\end_inset
</cell>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
110
\end_layout
\end_inset
</cell>
</row>
</lyxtabular>
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Newpage pagebreak
\end_inset
\end_layout
\begin_layout Standard
\series bold
Short Answer: Symbol Tables & Binary Search Trees
\end_layout
\begin_layout Enumerate
[Acuña] Consider the following scenario: you need to store a record for
each of the top 1000 teams that participated in a machine learning competition,
in order to be able to look up which team placed in a specific place.
Would it make more sense to use an array or a symbol table for this problem?
Explain.
[5 points]
\begin_inset Note Comment
status collapsed
\begin_layout Plain Layout
FA19
\end_layout
\end_inset
\begin_inset Note Comment
status collapsed
\begin_layout Plain Layout
M03_01::LO2
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Enumerate
An array will probably be better.
It will be faster and more efficient in storage.
\begin_inset Branch soln
inverted 0
status open
\begin_layout Standard
\series bold
ANS
\end_layout
\end_inset
\end_layout
\begin_layout Enumerate
An array will probably be better.
It will allow the team record type to be stored properly.
\end_layout
\begin_layout Enumerate
A symbol table will probably be better.
It will provide more flexibility.
\end_layout
\begin_layout Enumerate
A symbol table will probably be better.
It will be more efficient in storage.
\end_layout
\begin_layout Standard
\begin_inset VSpace 0.5cm
\end_inset
\end_layout
\end_deeper
\begin_layout Enumerate
Consider the following method discussed in lecture for deleting a node from
a BST.
What functionality is provided by the indicated line? [5 points]
\begin_inset Note Note
status open
\begin_layout Plain Layout
Acuna
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset listings
lstparams "language=Java"
inline false
status open
\begin_layout Plain Layout
private Node delete(Node x, Key key) {
\end_layout
\begin_layout Plain Layout
if (x == null) return null;
\end_layout
\begin_layout Plain Layout
int cmp = key.compareTo(x.key);
\end_layout
\begin_layout Plain Layout
if (cmp < 0) x.left = delete(x.left, key);
\end_layout
\begin_layout Plain Layout
else if (cmp > 0) x.right = delete(x.right, key);
\end_layout
\begin_layout Plain Layout
else {
\end_layout
\begin_layout Plain Layout
if (x.right == null) return x.left;
\end_layout
\begin_layout Plain Layout
if (x.left == null) return x.right;
\end_layout
\begin_layout Plain Layout
Node t = x;
\end_layout
\begin_layout Plain Layout
x = min(t.right);
\end_layout
\begin_layout Plain Layout
x.right = deleteMin(t.right);
\end_layout
\begin_layout Plain Layout
x.left = t.left; //THIS LINE HERE
\end_layout
\begin_layout Plain Layout
}
\end_layout
\begin_layout Plain Layout
x.N = size(x.left) + size(x.right) + 1;
\end_layout
\begin_layout Plain Layout
return x;
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Enumerate
Finds the in-order successor to x.
\end_layout
\begin_layout Enumerate
Replaces the current sub-tree rooted at x with the new sub-tree without
the minimal node.
\end_layout
\begin_layout Enumerate
It sets the old left sub-tree of x to be a child of the successor node being
moved up.
\begin_inset Branch soln
inverted 0
status open
\begin_layout Standard
\series bold
ANS
\end_layout
\end_inset
\end_layout
\begin_layout Enumerate
Updates the size variable of the tree rooted at x.
\end_layout
\begin_layout Standard
\begin_inset Newpage pagebreak
\end_inset
\end_layout
\begin_layout Standard
\series bold
Short Answer: Hashtables
\end_layout
\end_deeper
\begin_layout Enumerate
Consider implementing a hashcode function for a string class.
Which of the following statement(s) is/are True? Select all that apply.
[5 points]
\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
Abraham
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Enumerate
A hash function takes a string of arbitrary length and generates a fixed
sized hash.
\begin_inset Branch soln
inverted 0
status open
\begin_layout Standard
\series bold
ANS
\end_layout
\end_inset
\end_layout
\begin_layout Enumerate
A hash function takes a string of fixed length and generates a hash of variable
size.
\end_layout
\begin_layout Enumerate
A hash function may give different hash values for identical strings.
\end_layout
\begin_layout Enumerate
None of the above are true.
\end_layout
\begin_layout Standard
\begin_inset VSpace 0.5cm
\end_inset
\end_layout
\end_deeper
\begin_layout Enumerate
Is the hashCode() implementation in the following Point2D class valid? That
is, would a hashtable be able to properly store keys with this hashCode?
Explain.
[10 points]
\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
From FC17 final.
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
public class Point2D {
\end_layout
\begin_layout Plain Layout
public int x, y;
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
public Point2D(int x, int y) { this.x = x; this.y = y;}
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
public int hashCode() {
\end_layout
\begin_layout Plain Layout
return x % Integer.MAX_VALUE;
\end_layout
\begin_layout Plain Layout
}
\end_layout
\begin_layout Plain Layout
}
\end_layout
\end_inset
\end_layout
\begin_layout Enumerate
Yes - it implements the required hashCode method using the attributes in
the class.
\end_layout
\begin_layout Enumerate
Yes - since MAX_VALUE is larger than any number, the modulus doesn't change
the value of the point, and no information is lost.
\end_layout
\begin_layout Enumerate
No - different Point2Ds might have the same hashcode.
\begin_inset Branch soln
inverted 0