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+assess what you have learned in this chapter. + +.. mchoice:: cds_AA_count + + Is that right to count how many times we perform each line of code when n is the size of vector? + + .. figure:: Figures/count.jpg + :width: 200px + :align: center + :alt: count + :figclass: align-center + + - Yes + + + Correct! Then we will find we really don't care about the +5 or the 3 for that matter. + + - No + + - Wrong! + +.. mchoice:: cds_AA_bigo1 + + f2 is O(f1)? + + .. figure:: Figures/bigo-1.jpg + :width: 200px + :align: center + :alt: Bigo + :figclass: align-center + + - Yes + + + Correct! f1 is above f2—an “upper bound” f2 <= O(f1). + + - No + + - Wrong! + +.. mchoice:: cds_AA_bigo2 + + f1 is O(f2)? + + .. figure:: Figures/bigo-1.jpg + :width: 200px + :align: center + :alt: Bigo + :figclass: align-center + + - Yes + + + Correct! f(n) = O(g(n)), if there are positive constants c and n0 such that f(n) ≤ c * g(n) for all n ≥ n0. We can move f2 above f1 by multiplying by c + + - No + + - Wrong! + + .. mchoice:: cds_aa_bigo3 + + f3 is O(f1)? + + .. figure:: Figures/bigo-2.jpg + :width: 200px + :align: center + :alt: Bigo + :figclass: align-center + + - Yes + + - Wrong! + + - No + + + Correct! f3 <= O(f1) + +.. mchoice:: cds_AA_bigo4 + + f1 is O(f3)? + + .. figure:: Figures/bigo-2.jpg + :width: 200px + :align: center + :alt: Bigo + :figclass: align-center + + - Yes + + + Correct! + + - No + + - Wrong! + +.. mchoice:: cds_AA_fomular1 + + Let f(n) = 3 log2 n + 4 n log2 n + n. Which of the following is true? + + + - f(n) = O(log2n) + + - Wrong! + + - f(n) = O(nlog2n) + + - Wrong! + + - f(n) = O(n^2) + + - Wrong! + + - f(n) = O(n) + + - Wrong! + + - Other/none/more + + + Correct! + +.. mchoice:: cds_AA_fomular2 + + Let f(n) = 546 + 34n + 2n^2. Which of the following is true? + + + - f(n) = O(2^n) + + - Wrong! + + - f(n) = O(n^2) + + + Correct! + + - f(n) = O(n) + + - Wrong! + + - f(n) = O(n^3) + + - Wrong! + + - Other/none/more + + - Wrong! + +.. mchoice:: cds_AA_fomular3 + + Let f(n) = 2^n + 14n^2 + 4n^3. Which of the following is true? + + + - f(n) = O(2^n) + + + Correct! + + - f(n) = O(n^2) + + - Wrong! + + - f(n) = O(n) + + - Wrong! + + - f(n) = O(n^3) + + - Wrong! + + - Other/none/more + + - Wrong! + +.. mchoice:: cds_AA_fomular4 + + Let f(n) = 100. Which of the following is true? + + + - f(n) = O(2^n) + + - Wrong! + + - f(n) = O(n^2) + + - Wrong! + + - f(n) = O(n) + + - Wrong! + + - f(n) = O(n^100) + + - Wrong! + + - Other/none/more + + + Correct! O(1) can work. + +.. mchoice:: cds_AA_memory + + Each memory address indexes one byte (8 bits). Can you deduce from the drawing at right how many bits are used to represent int and double, respectively? + + .. figure:: Figures/diagram.jpg + :width: 200px + :align: center + :alt: diagram + :figclass: align-center + + - 4bits, 8bits + + - Wrong! + + - 32bits, 64bits + + + Correct! + + - 16bits, 16bits + + - Wrong! + + - 16bits, 32bits + + - Wrong! + +.. mchoice:: cds_AA_pointer + + What prints here? + + :: + + int a[4] = {91, -2, 85, 17}; + int* p = a; + p[1] = 5; + p++; + cout << *p << endl; + *(p + 2) = 26; + cout << p[2] << endl; + cout << a[2] << endl; + + - 26, 26 + + - Wrong! + + - 26, [other] + + + Correct! [other] is 85. p = &a[0]; p = &a[1]; a[3] = 26; + + - [other], 26 + + - Wrong! + + - [other], [other] + + - Wrong! + +.. mchoice:: cds_AA_memory_allocation + + What prints here? + + :: + + int * p1 = new int;//0x12 + *p1 = 5; + int * p2 = new int;//0x4 + *p2 = 7; + int * p3 = new int;//0x20 + *p3 = 8675309; // important phone # + *p1 = *p2; + cout << p1 << “ “ << *p1 << endl; + + - 0x12, 5 + + - Wrong! + + - 0x4, 7 + + - Wrong! + + - 0x12, 7 + + + Correct! + + - 0x4, 5 + + - Wrong! + +.. mchoice:: cds_AA_memory_allocation1 + + What prints here? + + :: + + int * p1 = new int;//0x12 + *p1 = 5; + int * p2 = new int;//0x4 + *p2 = 7; + int * p3 = new int;//0x20 + *p3 = 8675309; // important phone # + *p1 = *p2; + cout << p1 << “ “ << *p1 << endl; + p1 = p2; + cout << p1 << “ “ << *p1 << endl; + + - 0x12, 5 + + - Wrong! + + - 0x4, 7 + + + Correct! + + - 0x12, 7 + + - Wrong! + + - 0x4, 5 + + - Wrong! + +.. mchoice:: cds_AA_memory_allocation2 + + These last three lines… + + :: + + int * p1 = new int;//0x12 + *p1 = 5; + int * p2 = new int;//0x4 + *p2 = 7; + int * p3 = new int;//0x20 + *p3 = 8675309; // important phone # + *p1 = *p2; + cout << p1 << “ “ << *p1 << endl; + p1 = p2; + cout << p1 << “ “ << *p1 << endl; + delete p1; + delete p2; + cout << *p3 << endl; //print important phone # + + - Looks good! + + - Wrong! + + - Didn’t do enough deleting + + - Wrong! + + - Did too much deleting + + + Correct! In line 9, we set p1 to be pointing at p2's address. Then in line 11, we "delete p1", which will delete the object that p1 is pointing to (which is also the object that p2 is pointing to). When we do "delete p2" again, then we will get an error since we are trying to delete free memory. + + + - Accessed memory after deleting + + - Wrong! + +.. mchoice:: cds_AA_set1 + + Which are Cliques? + + .. figure:: Figures/set.jpg + :width: 200px + :align: center + :alt: set + :figclass: align-center + + + - { B, D, E, F } + + - Wrong! + + - { B, C, D } + + - Wrong! + + - { B, C } + + - Wrong! + + - Other/none/more than one + + + Correct! A & C + + .. mchoice:: cds_AA_set2 + + Which are Independent Sets? + + .. figure:: Figures/set.jpg + :width: 200px + :align: center + :alt: set + :figclass: align-center + + + - { A, C, G } + + - Wrong! + + - { A, C, F } + + - Wrong! + + - { A, E } + + - Wrong! + + - Other/none/more than one + + + Correct! A & B & C + + +.. mchoice:: cds_AA_vertex + + Find a vertex cover S that uses the fewest number of vertices (|S| is minimized). 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having more than one distinct minimum spanning tree. + + - TRUE + + - Wrong! + + - FALSE + + + Correct! i.e., “If at least two edges have the same weight, then there is more than one MST” + +.. mchoice:: cds_graph_tf2 + + Having at least two edges with the same weight is NECESSARY for having more than one distinct minimum spanning tree. + + - TRUE + + + Correct! i.e., “If there is more than one MST, then at least two edges have the same weight.” + + - FALSE + + - Wrong! diff --git a/_sources/Graphs/Figures/Eulerian1.jpg b/_sources/Graphs/Figures/Eulerian1.jpg new file mode 100644 index 0000000000000000000000000000000000000000..9a01861b32cec2c7ee7415e8b41a1f2d67609780 GIT binary patch literal 31637 zcma&NWq2Ghwk>LknVFfHnVIdF*@>B%8RM9lnc0pxW;E4c0y3y>-gjJ<5YLxbk4I%J4gE?Siy5J zL*hZ99@s%NLJ8bne+-*70C8SD2n_QC0{&|6#tdD{z<@J|-3!>+)d^l(XyC5p^zQo6 z8-;94x(^-{6Uv*+vVSPCi3rvcOp}NWCaQ75RE{Z&>4iMlp@vI3SdGQ2AL&WwREADM z^g~Ymi-aE@7#Dpy!xXgWKJg+4y!Tpy%s$6pok@=@Vo({zAh;k|I!Xh%NBP^E9J~Q? 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Stacks are a type of container adaptors that follow LIFO(Last In First Out). + + - Prints only the first line of a file to cout + + - Wrong! Every line != empty should be printed. + + - Prints only the last line of a file to cout + + - Wrong! Every line != empty should be printed. + + - Prints all lines of a file to cout in reverse + + + Correct! + + - All/ none/ more than one of the above + + - Wrong! + + +.. mchoice:: cds_LB_diffinput + + Ignoring operator precedence rules, how many distinct results are there to the following arithmetic expression : 3 * 3 + 3 * 3 ? + + - 1 + + - Wrong! The computer won't follow the math rules. + + - 2 + + - Could you come up with a little bit more? + + - 3 + + + Correct! (3 * 3) + (3 * 3) ; 3 * (3 + 3) * 3 ; 3 * (3 + (3 * 3)) + + - 4 + + - Wrong! Check out if there are the same ones for your results. + + - More than 4. + + - Wrong! Check out if there are the same ones for your results. + +.. mchoice:: cds_LB_polishnotation + + Which infix expression does this postfix expression: 4 3 * 7 2 5 * + + equivalent to ? + + + + - ((4*3) + (7*2)) + 5 + + - Wrong! + + - (4*3) + ((7+2) + 5) + + - Wrong! + + - (4*3) + (7 + (2*5)) + + + Correct! + + - Other/none/more than one + + - Wrong! + + +.. mchoice:: cds_LB_polishnotationcont + + Contents of the stack of the last question, reading from top-down: + + + - 7, 12 + + - Wrong! You might miss the "*". + + - 2, 7, 12 + + - Wrong! 5 seems to be the last number + + - 10, 7, 12 + + + Correct! + + - 10, 5, 2, 7, 12 + + - Wrong! 5 has been operated. + + +.. mchoice:: cds_LB_fifo + + How many of these operate as FIFO/Queue? + + + - Patients waiting in a hospital Emergency Room + + + Correct! + + - Passengers boarding and exiting an airplane + + - It should be last in, first out, or first in first out if you take first class into account. So actually we cannot be sure. + + - Passengers boarding and exiting an elevator (assume all board on the ground floor and exit at the same destination) + + - It should be last in, first out. + + - People waiting in line for an amusement park ride + + + Correct! + +.. mchoice:: cds_LB_Josephus + +.. figure:: Figures/Josephus.jpg + :width: 200px + :align: center + :alt: Josephus survivor puzzle + :figclass: align-center + + People are standing in a circle waiting to be executed. Counting begins at a specified point in the circle and proceeds around the circle in a specified direction. After a specified number of people are skipped, the next person is executed. The procedure is repeated with the remaining people, starting with the next person, going in the same direction and skipping the same number of people, until only one person remains, and is freed. + + Where do you sit? + + + - 1 or 2 + + + Correct! + + - 1 or 6 + + - Wrong. + + - 5 or 10 + + - Wrong. + + - 5 or 6 + + - Wrong. + + + + + + + diff --git a/_sources/LinearBasic/Figures/Josephus.jpg b/_sources/LinearBasic/Figures/Josephus.jpg new file mode 100644 index 0000000000000000000000000000000000000000..bce5919b5b2810b00dbfbcb73d0f369d6e875c97 GIT binary patch literal 201867 zcmb@s1CS=mx;EOL=Cpg-wrx(^)3$Bf)3$Bfwr$%srmgSx+H0SE*17uQ-uN>jD>L7G z@nmL2Rb|!_`b$O>4jL002nYyHTuewF2ne|8uM7$CB|(PDw*>-%wK5YF{3R|Zi2uvp z#@Ni#2na|lG*RW7s=_E*mPTAm%nS&m7*r>bJg68{E_jSK7#0B(aRNH>@32m4$`)tD z!LX_@@}@*%;99D1{p)aWR3oj0!Jx797~iV5v8So0$xffCj2GEfrq(B*oEJZ;*n?bk zpo4Ij0;t{I2nMrL*f|AXAe0jj=$qX;LnLKQO=e$4S3rA5J8)&LrjxSmhr?%g*moWL zePG`RfA)B~{X@YGSfDOHvRE`Ae#H}-ViYkH*Y5*u^62;j<*4i$p)M4*MM!u!HR2Mw 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zx3sYX&R8w|6#Eu==_oD)_+*GX7eYHiNBMxDy4uZ!MBHTB6#6OY9BK+T)2A+cx!%m8 z9Ot_PEq!+K-9b4aV*f62kde?)#YhqQ=iXzu+a%C{)1Z zXmwai6$)eVcokVu7`T#bI*b}(eTdDoz|+3H>frNcw1ZQf|nNM1mB99 zXyh}5%`xbE@XA`KZmQ>59HRX`;H_Njyqb_kfYO?jc@&kkmPA&bg*YC(!XM-YPsIaQ zgpV`62H()Il>c&t(#|M3V*Z0N^o9K6^xwQ8V7dH1;6=yiZT3J22iR9^dp=KZ`>>np cJ*zhr=@d1s^sQ 3 * 2 * 1 -> 4 * 3 * 2 * 1; + + - 90 + + - Wrong! + +.. mchoice:: cds_Recursive_memory + + How does this look in memory? + + :: + + long factorial ( int n ) { + cout << n << endl; + long result; + if (n==1) result = 1; + else result = n*factorial(n–1); + return result; + } + + void myfunction(){ + int x = 10; + long xfac = 0; + xfac = factorial(x); + } + + //!REMINDER! + + .. mchoice:: cds_Recursive_fourth + + What is the fourth thing printed when we call factorial(10)? + + - Only three items remain: save yourself an unnecessary function call that would trivially divide them into halves of size 1, and just check all three. + + - Wrong! + + - Only two items remain: can’t divide into two halves with a middle, so just check the two. + + - Wrong! + + - Only one item remains: just check it. + + + Correct! Arm's length recursion writes more code than necessary by having special cases rather than letting recursions do the work. + + - No items remain: obviously we didn’t find it. + + - Wrong! + +.. mchoice:: cds_Recursive_binary + + Which line should be coded here? + + :: + + bool binarySearch(Vector& data, int key){ + return binarySearch(data, key, 0, data.size()-1); + } + + bool binarySearch(Vector& data, int key, int start, int end){ + // Write code to handle the base case “No items remain: + // obviously we didn’t find it by returning false + //to be continued… + } + + - if (data.size() <= 0) return false; + + - Wrong! + + - if (end < start) return false; + + + Correct! + + - if (end == start) return false; + + - Wrong! + + .. mchoice:: cds_Recursive_snow + + Where should this line of code be inserted to produce the pattern shown? + drawFilledBox(window, cx, cy, dim, "Gray", "Black"); + + .. figure:: Figures/snowflake.jpg + :width: 200px + :align: center + :alt: Boxy Snowflake + :figclass: align-center + + :: + static const double SCALE = 0.45; + + static void drawFractal(GWindow& window, double cx, double cy, double dim, int order) { + + if (order >= 0) { + + drawFractal(window, cx-dim/2, cy+dim/2, SCALE*dim, order-1); + + drawFractal(window, cx+dim/2, cy-dim/2, SCALE*dim, order-1); + + drawFractal(window, cx-dim/2, cy-dim/2, SCALE*dim, order-1); + + drawFractal(window, cx+dim/2, cy+dim/2, SCALE*dim, order-1); + + } + + } + + - drawFractal(window, cx-dim/2, cy+dim/2, SCALE*dim, order-1); + + - Wrong! + + - drawFractal(window, cx+dim/2, cy-dim/2, SCALE*dim, order-1); + + - Wrong! + + - drawFractal(window, cx-dim/2, cy-dim/2, SCALE*dim, order-1); + + - Wrong! + + - drawFractal(window, cx+dim/2, cy+dim/2, SCALE*dim, order-1); + + - Wrong! +' + - None of the above + + + Correct! + +.. mchoice:: cds_Recursive_realsnow + + Can these be made by changing the order of lines and/or deleting lines in the draw function? + + .. figure:: Figures/snowflake1.jpg + :width: 200px + :align: center + :alt: Boxy Snowflake - 1 + :figclass: align-center + + .. figure:: Figures/snowflake2.jpg + :width: 200px + :align: center + :alt: Boxy Snowflake - 2 + :figclass: align-center + + + - 1 is real + + - Wrong! + + - 2 is real + + - Wrong! + + - Both are shopped + + + Correct! + + - Both are real + + - Wrong! + +.. mchoice:: cds_Recursive_maze + + In what order do we visit these spaces? + + .. figure:: Figures/Maze-solving.jpg + :width: 200px + :align: center + :alt: Maze-solving + :figclass: align-center + + - x1, x2, x3 + + - Wrong! + + - x2, x3, x1 + + - Wrong! + + - x1, x3, x2 + + - Wrong! + + - We don’t visit all three + + + Correct! We can't visit x2. + + +.. mchoice:: cds_Recursive_stack + + What is the deepest the Stack gets during the solving of this maze? + + .. figure:: Figures/stack.jpg + :width: 200px + :align: center + :alt: The stack + :figclass: align-center + + - Less than 5 + + - Wrong! + + - 5-10 + + - Wrong! + + - 11-20 + + - Wrong! + + - More than 20 + + + Correct! + +.. mchoice:: cds_Recursive_fibonacci + + How many times would we calculate Fib(2) while calculating Fib(6)? See if you can just “read” it off the chart above. + + .. figure:: Figures/fibonacci.jpg + :width: 200px + :align: center + :alt: fibonacci + :figclass: align-center + + - 4 times + + - Wrong! + + - 5 times + + + Correct! + + - 6 times + + - Wrong! + +.. mchoice:: cds_Recursive_fibonacci-2 + + Assume we have to calculate each unique function call once, but never again. And We “remember” the answer from the first time. + How many rectangles remain in the above chart for n=5? + + .. figure:: Figures/fibonacci.jpg + :width: 200px + :align: center + :alt: fibonacci + :figclass: align-center + + - 3 + + - Wrong! + + - 6 + + - Wrong! Are there any other possibilities? + + - 7 + + - Wrong! + + - 9 + + - Wrong! Are there any other possibilities? + + - More than one. + + + Correct! 6 or 9 + +.. mchoice:: cds_Recursive_fibonacci-3 + + Assume we have to calculate each unique function call once, but never again. And We “remember” the answer from the first time. + For some integer n>2, what is the largest number of function calls that can be triggered by the calculation of F(n) in this new “remember” system? + + .. figure:: Figures/fibonacci.jpg + :width: 200px + :align: center + :alt: fibonacci + :figclass: align-center + + - Approx. log(n) + + - Wrong! + + - Approx. n + + + Correct! + + - Approx. n^2 + + - Wrong! + + - Approx. 2^n + + - Wrong! + +.. mchoice:: cds_Recursive_memory + + How does this look in memory? + + :: + + long factorial (int n) { + cout << n << endl; + long result; + if (n == 1) result = 1; + else result = n * factorial(n – 1); + return result; + } + void myfunction(){ + int x = 10; + long xfac = 0; + xfac = factorial(x); + } + + .. figure:: Figures/memory1.jpg + :width: 200px + :align: center + :alt: memory + :figclass: align-center + + - .. figure:: Figures/memory2.jpg + :width: 200px + :align: center + :alt: memory + :figclass: align-center + + - Wrong! + + - .. figure:: 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cds_Harsh_Pprintorder + + + How can we get this to print our ABCs in order? + + .. figure:: Figures/Harshprint.jpg + :width: 200px + :align: center + :alt: Harsh_print + :figclass: align-center + + - You can’t—we already tried moving the cout to all 3 possible places. + + - Wrong! + + - You can but you use a stack instead of recursion. + + - Wrong! + + - You can but you use a queue instead of recursion. + + + Correct! + + - Other/none/more + + - Wrong! + +.. mchoice:: cds_Harsh_printorder2 + + That prints the ABC nodes in order, but notice that our ABC tree isn’t a BST. How do we print BST nodes in order? + + .. figure:: Figures/Harshprintorder2.jpg + :width: 200px + :align: center + :alt: Harsh_print + :figclass: align-center + :: + + int traverse(Node *node) { + if (node != NULL) { + traverse(node->left); + traverse(node->right); + } + } + + + + - Use the BFS (queue instead of recursion). + + - Wrong! + + - Use the DFS and put cout first. + + - Wrong! + + - Use the DFS and put cout between. + + + Correct! + + - Use the DFS and put cout last. + + - Wrong! + + +.. mchoice:: cds_Harsh_print3 + + We can play the same game with non-alpha characters as keys: What does this print? + + .. figure:: Figures/Harshprint3.jpg + :width: 200px + :align: center + :alt: Harsh_print + :figclass: align-center + :: + + int traverse(Node *node) { + if (node != NULL) { + int l = traverse(node->left); + int r = traverse(node->right); + return l + r + } + } + + + + - * + / 3 4 8 2 + + - Wrong! + + - * + 3 4 / 2 + + - Wrong! + + - 3 + 4 * 8 / 2 + + - Wrong! + + - 3 4 + 8 2 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file mode 100644 index 00000000..d1b9baa3 --- /dev/null +++ b/_sources/Sort/Exercises.rst @@ -0,0 +1,70 @@ +Multiple Choice Exercises +------------------------- + +Answer the following **Multiple Choice** questions to +assess what you have learned in this chapter. + + +.. mchoice:: cds_Sort_secondout + + I would like to move one paper from the two sorted sub-piles to the combined sorted pile. How many papers do I have to examine, at most, to identify the current smallest element of both sorted sub-piles? + + + - 2 elements + + - Wrong! + + - 4 elements + + + For you to identify the smallest of the two sorted sub-piles, you need to check the "top-most" and "bottom-most" elements of each pile so that would mean that you would examine 4 elements total. + + - Size of the first pile + + - Wrong! + + - Size of the second pile + + - Wrong! + +.. mchoice:: cds_Sort_secondout + + How many steps does it take to fully merge two sorted sub-piles, A and B? (best/tight answer) + + + - O(log(A+B)) steps + + - Wrong! + + - O(A+B) steps + + + Correct! + + - O(A+B)^2 steps + + - Wrong! + + - O(A^2 + B^2) steps + + - Wrong! + +.. mchoice:: cds_Sort_secondout + + Consider an arbitrarily chosen (generic) particular exam and mentally track its progress throughout the algorithm. How many times does your exam pass through the merge step? + + + - 1 time + + - Wrong! + + - 2 times + + + Correct! + + - Θ(logn) times + + - Wrong! + + - Θ(n) times + + - Wrong! + diff --git a/_sources/Sort/toctree.rst b/_sources/Sort/toctree.rst index 257e2fae..2b5d5b45 100644 --- a/_sources/Sort/toctree.rst +++ b/_sources/Sort/toctree.rst @@ -17,3 +17,4 @@ Sorting DiscussionQuestions.rst ProgrammingExercises.rst Glossary.rst + Exercises.rst diff --git a/_sources/Trees/Exercises.rst b/_sources/Trees/Exercises.rst new file mode 100644 index 00000000..6a413a3e --- /dev/null +++ b/_sources/Trees/Exercises.rst @@ -0,0 +1,261 @@ +Multiple Choice Exercises +------------------------- + +Answer the following **Multiple Choice** questions to +assess what you have learned in this chapter. + + +.. mchoice:: cds_tree_remove + + Suppose we have a pointer (current) to the node containing the item to be removed. + What additional information do we need to successfully remove the node? + + + .. figure:: Figures/remove.jpg + :width: 200px + :align: center + :alt: remove + :figclass: align-center + + - Nothing additional. + + - Wrong! + + - A pointer to the node immediately prior to the to-be-deleted node. + + + Correct! + + - A pointer to the node immediately after the to-be-deleted node. + + - Wrong! + + - Both B and C. + + - Wrong! + +.. mchoice:: cds_tree_binarytree + + How many of these are valid binary trees? + + + .. figure:: Figures/binarytree.jpg + :width: 200px + :align: center + :alt: binary-trees + :figclass: align-center + + - 0-3 + + - Wrong! + + - 7-8 + + + Correct! 1,2,3,4,5,6,8 are correct + + - 4-6 + + - Wrong! + +.. mchoice:: cds_tree_binaryheap + + How many of these are valid binary heaps? + + + .. figure:: Figures/binaryheap.jpg + :width: 200px + :align: center + :alt: binary-heaps + :figclass: align-center + + - 0-1 + + - Wrong! + + - 4 + + + Correct! 1,2,5,8 are correct + + - 2-3 + + - Wrong! + +.. mchoice:: cds_tree_minbinaryheap + + How many of these are valid min-binary-heaps? + + + .. figure:: Figures/minbinaryheap.jpg + :width: 200px + :align: center + :alt: min-binary-heaps + :figclass: align-center + + - 0 + + - Wrong! + + - 1 + + + Correct! The 2nd one is correct + + - 2 + + - Wrong! + + - 3 + + - Wrong! + +.. mchoice:: cds_tree_minbinaryheap2 + + In how many places could the smallest number in this min-binary-heap be located? + + + .. figure:: Figures/minbinaryheap2.jpg + :width: 200px + :align: center + :alt: min-binary-heaps + :figclass: align-center + + - 0-2 + + - Wrong! + + - 3-4 + + + Correct! The 2nd one is correct + + - 5-6 + + - Wrong! + + - 7-8 + + - Wrong! + +.. mchoice:: cds_tree_arrayheap + + For the tree of height h, the array length is 2^h-1 For a node in array index i: Parent is at array index:? + + + .. figure:: Figures/arrayheap.jpg + :width: 200px + :align: center + :alt: arrayheap + :figclass: align-center + + - i-2 + + - Wrong! + + - (i-1)/2 + + + Correct! + + - i/2 + + - Wrong! + + - 2i + + - Wrong! + +.. mchoice:: cds_tree_arraybinheap + + For the tree of height h, the array length is 2^h-1 For a node in array index i: Left child is at array index:? + + + .. figure:: Figures/arraybinheap.jpg + :width: 200px + :align: center + :alt: arraybinheap + :figclass: align-center + + - i+1 + + - Wrong! + + - i+2 + + - Wrong! + + - 2i+1 + + + Correct! + + - 2i + + - Wrong! + +.. mchoice:: cds_tree_tf + + There is only one configuration of a valid min-heap containing the elements {34, 22, 3, 9, 18} + + + - TRUE + + - Wrong! + + - FALSE + + + Correct! + + .. mchoice:: cds_tree_distict + + How many distinct min-heaps are possible for the elements {3, 9, 18, 22, 34}? + + + - 1-2 + + - Wrong! + + - 3-4 + + - Wrong! + + - 5-8 + + + Correct! + + - 5! + + - Wrong! + + .. mchoice:: cds_tree_time + + What is the worst-case time cost for each heap operation: Add, Remove, Peek? + + + - O(n), O(1), O(1) + + - Wrong! + + - O(logn), O(logn), O(1) + + + Correct! + + - O(n), O(logn), O(logn) + + - Wrong! + +.. mchoice:: cds_tree_insert + + What is the next configuration in this sequence? + + .. figure:: Figures/sequence.jpg + :width: 200px + :align: center + :alt: sequence + :figclass: align-center + + - 12, 8, 2, 10 + + - Wrong! + + - 12, 10, 2, 8 + + + Correct! + + - 12, 10, 8, 2 + + - Wrong! diff --git a/_sources/Trees/Figures/arraybinheap.jpg b/_sources/Trees/Figures/arraybinheap.jpg new file mode 100644 index 0000000000000000000000000000000000000000..ad391d7da50fa06380c157fdff48f792b4f4a9de GIT binary patch literal 54437 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a/allChapterFiles.txt +++ b/allChapterFiles.txt @@ -12,7 +12,7 @@ Introduction/ExceptionHandling.rst Introduction/DefiningFunctions.rst Introduction/ObjectOrientedProgramminginPythonDefiningClasses.rst - Introduction/.rst + Introduction/Exercises.rst Introduction/Summary.rst Introduction/KeyTerms.rst Introduction/DiscussionQuestions.rst @@ -79,7 +79,7 @@ BasicDS/BalancedSymbols(AGeneralCase).rst BasicDS/ConvertingDecimalNumberstoBinaryNumbers.rst BasicDS/InfixPrefixandPostfixExpressions.rst - BasicDS/.rst + BasicDS/Exercises.rst diff --git a/where should I placed these questions?.txt b/where should I placed these questions?.txt new file mode 100644 index 00000000..61e0583c --- /dev/null +++ b/where should I placed these questions?.txt @@ -0,0 +1,7 @@ +Multiple Choice Exercises +------------------------- + +Answer the following **Multiple Choice** questions to +assess what you have learned in this chapter. + + \ No newline at end of file From da602c2ed4903bc61739e5b0608bea831f3aa3d9 Mon Sep 17 00:00:00 2001 From: Zhuoyi Ai Date: Wed, 6 Apr 2022 16:35:10 -0400 Subject: [PATCH 2/2] author added --- _sources/AlgorithmAnalysis/Exercises.rst | 18 +++++++++++ _sources/Graphs/Exercises.rst | 8 +++++ _sources/Introduction/Exercises.rst | 33 ++++++++++++------- _sources/LinearBasic/Exercises.rst | 16 +++++++--- _sources/Recursion/Exercises.rst | 40 ++++++++++++++++-------- _sources/SearchHash/Exercises.rst | 39 +++++++++++++++-------- _sources/Sort/Exercises.rst | 9 ++++-- _sources/Trees/Exercises.rst | 33 ++++++++++++------- 8 files changed, 140 insertions(+), 56 deletions(-) diff --git a/_sources/AlgorithmAnalysis/Exercises.rst b/_sources/AlgorithmAnalysis/Exercises.rst index 068610df..eb95e048 100644 --- a/_sources/AlgorithmAnalysis/Exercises.rst +++ b/_sources/AlgorithmAnalysis/Exercises.rst @@ -5,6 +5,7 @@ Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. .. mchoice:: cds_AA_count + :author: Cynthia Lee Is that right to count how many times we perform each line of code when n is the size of vector? @@ -23,6 +24,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_bigo1 + :author: Cynthia Lee f2 is O(f1)? @@ -41,6 +43,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_bigo2 + :author: Cynthia Lee f1 is O(f2)? @@ -59,6 +62,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_aa_bigo3 + :author: Cynthia Lee f3 is O(f1)? @@ -77,6 +81,7 @@ assess what you have learned in this chapter. + Correct! f3 <= O(f1) .. mchoice:: cds_AA_bigo4 + :author: Cynthia Lee f1 is O(f3)? @@ -95,6 +100,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_fomular1 + :author: Cynthia Lee Let f(n) = 3 log2 n + 4 n log2 n + n. Which of the following is true? @@ -120,6 +126,7 @@ assess what you have learned in this chapter. + Correct! .. mchoice:: cds_AA_fomular2 + :author: Cynthia Lee Let f(n) = 546 + 34n + 2n^2. Which of the following is true? @@ -145,6 +152,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_fomular3 + :author: Cynthia Lee Let f(n) = 2^n + 14n^2 + 4n^3. Which of the following is true? @@ -170,6 +178,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_fomular4 + :author: Cynthia Lee Let f(n) = 100. Which of the following is true? @@ -195,6 +204,7 @@ assess what you have learned in this chapter. + Correct! O(1) can work. .. mchoice:: cds_AA_memory + :author: Cynthia Lee Each memory address indexes one byte (8 bits). Can you deduce from the drawing at right how many bits are used to represent int and double, respectively? @@ -221,6 +231,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_pointer + :author: Cynthia Lee What prints here? @@ -252,6 +263,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_memory_allocation + :author: Cynthia Lee What prints here? @@ -283,6 +295,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_memory_allocation1 + :author: Cynthia Lee What prints here? @@ -316,6 +329,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_memory_allocation2 + :author: Cynthia Lee These last three lines… @@ -353,6 +367,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_set1 + :author: Cynthia Lee Which are Cliques? @@ -380,6 +395,7 @@ assess what you have learned in this chapter. + Correct! A & C .. mchoice:: cds_AA_set2 + :author: Cynthia Lee Which are Independent Sets? @@ -408,6 +424,7 @@ assess what you have learned in this chapter. .. mchoice:: cds_AA_vertex + :author: Cynthia Lee Find a vertex cover S that uses the fewest number of vertices (|S| is minimized). What is |S|? @@ -433,6 +450,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_AA_possibleTrue + :author: Cynthia Lee how many of the following are possibly true? if (!x0 && x0) diff --git a/_sources/Graphs/Exercises.rst b/_sources/Graphs/Exercises.rst index b701193b..c5604ad3 100644 --- a/_sources/Graphs/Exercises.rst +++ b/_sources/Graphs/Exercises.rst @@ -6,6 +6,7 @@ assess what you have learned in this chapter. .. mchoice:: cds_graph_ways + :author: Cynthia Lee How many of the following are true? @@ -29,6 +30,7 @@ assess what you have learned in this chapter. .. mchoice:: cds_graph_Eulerian + :author: Cynthia Lee Is this graph Eulerian? @@ -47,6 +49,7 @@ assess what you have learned in this chapter. + Correct! .. mchoice:: cds_graph_Eulerian2 + :author: Cynthia Lee Is this graph Eulerian? @@ -64,6 +67,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_graph_search + :author: Cynthia Lee You predict the next step! @@ -82,6 +86,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_graph_eff + :author: Cynthia Lee You calculated the shortest path for yourself (Yosemite to Palo Alto) and let’s just say that it took time X = O((|E| + |V|)log|V|) How long will it take you, in total, to calculate the shortest path for ALL of your relatives? @@ -95,6 +100,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_graph_spanning + :author: Cynthia Lee How many distinct spanning trees are in this graph? @@ -125,6 +131,7 @@ assess what you have learned in this chapter. + Correct! .. mchoice:: cds_graph_MST + :author: Cynthia Lee How many distinct MSTs are in this graph? @@ -155,6 +162,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_graph_tf + :author: Cynthia Lee Having at least two edges with the same weight is SUFFICIENT for having more than one distinct minimum spanning tree. diff --git a/_sources/Introduction/Exercises.rst b/_sources/Introduction/Exercises.rst index 74293137..3fdacf97 100644 --- a/_sources/Introduction/Exercises.rst +++ b/_sources/Introduction/Exercises.rst @@ -4,7 +4,8 @@ Multiple Choice Exercises Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. -.. mchoice:: cds_intro_bug +.. mchoice:: cds_intro_bug + :author: Cynthia Lee Can you find the bug here? @@ -49,7 +50,8 @@ assess what you have learned in this chapter. -.. mchoice:: cds_intro_betterone +.. mchoice:: cds_intro_betterone + :author: Cynthia Lee Which one is better? @@ -87,7 +89,8 @@ assess what you have learned in this chapter. + Efficiency vs. safety is a classic tension in CS. -.. mchoice:: cds_intro_reference1 +.. mchoice:: cds_intro_reference1 + :author: Cynthia Lee What is the outcome of code? @@ -122,7 +125,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_reference2 +.. mchoice:: cds_intro_reference2 + :author: Cynthia Lee What is the outcome of code? @@ -159,7 +163,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_reference3 +.. mchoice:: cds_intro_reference3 + :author: Cynthia Lee What is the outcome of code? @@ -195,7 +200,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_pointer +.. mchoice:: cds_intro_pointer + :author: Cynthia Lee What is the correct picture? @@ -228,7 +234,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_reference1 +.. mchoice:: cds_intro_reference1 + :author: Cynthia Lee What is the outcome of code? @@ -262,7 +269,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_inherMammel +.. mchoice:: cds_intro_inherMammel + :author: Cynthia Lee What is printed? Siamese * s = new Siamese; @@ -295,7 +303,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_inherMammel2 +.. mchoice:: cds_intro_inherMammel2 + :author: Cynthia Lee What is printed? Cat * c = new Siamese; @@ -328,7 +337,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_intro_inherMammel3 +.. mchoice:: cds_intro_inherMammel3 + :author: Cynthia Lee What is printed? Cat * c = new Siamese; @@ -361,7 +371,8 @@ assess what you have learned in this chapter. - Wrong! - .. mchoice:: cds_intro_design + .. mchoice:: cds_intro_design + :author: Cynthia Lee Which best explains good design of destructors in polymorphic classes? diff --git a/_sources/LinearBasic/Exercises.rst b/_sources/LinearBasic/Exercises.rst index b75af88b..c4b14eb4 100644 --- a/_sources/LinearBasic/Exercises.rst +++ b/_sources/LinearBasic/Exercises.rst @@ -5,7 +5,8 @@ Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. -.. mchoice:: cds_LB_input +.. mchoice:: cds_LB_input + :author: Cynthia Lee What does this code do? @@ -45,7 +46,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_LB_diffinput +.. mchoice:: cds_LB_diffinput + :author: Cynthia Lee Ignoring operator precedence rules, how many distinct results are there to the following arithmetic expression : 3 * 3 + 3 * 3 ? @@ -69,7 +71,8 @@ assess what you have learned in this chapter. - Wrong! Check out if there are the same ones for your results. -.. mchoice:: cds_LB_polishnotation +.. mchoice:: cds_LB_polishnotation + :author: Cynthia Lee Which infix expression does this postfix expression: 4 3 * 7 2 5 * + + equivalent to ? @@ -92,7 +95,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_LB_polishnotationcont +.. mchoice:: cds_LB_polishnotationcont + :author: Cynthia Lee Contents of the stack of the last question, reading from top-down: @@ -114,7 +118,8 @@ assess what you have learned in this chapter. - Wrong! 5 has been operated. -.. mchoice:: cds_LB_fifo +.. mchoice:: cds_LB_fifo + :author: Cynthia Lee How many of these operate as FIFO/Queue? @@ -136,6 +141,7 @@ assess what you have learned in this chapter. + Correct! .. mchoice:: cds_LB_Josephus + :author: Cynthia Lee .. figure:: Figures/Josephus.jpg :width: 200px diff --git a/_sources/Recursion/Exercises.rst b/_sources/Recursion/Exercises.rst index c608d24e..22c713e8 100644 --- a/_sources/Recursion/Exercises.rst +++ b/_sources/Recursion/Exercises.rst @@ -5,7 +5,8 @@ Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. -.. mchoice:: cds_Recursive_secondout +.. mchoice:: cds_Recursive_secondout + :author: Cynthia Lee What is the second thing printed when we call factorial(10)? @@ -35,7 +36,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Recursive_third +.. mchoice:: cds_Recursive_third + :author: Cynthia Lee What is the third thing printed when we call factorial(10)? @@ -65,7 +67,8 @@ assess what you have learned in this chapter. - Wrong! returned or printed? -.. mchoice:: cds_Recursive_fourth +.. mchoice:: cds_Recursive_fourth + :author: Cynthia Lee What is the fourth thing printed when we call factorial(10)? @@ -95,7 +98,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Recursive_memory +.. mchoice:: cds_Recursive_memory + :author: Cynthia Lee How does this look in memory? @@ -117,7 +121,8 @@ assess what you have learned in this chapter. //!REMINDER! - .. mchoice:: cds_Recursive_fourth + .. mchoice:: cds_Recursive_fourth + :author: Cynthia Lee What is the fourth thing printed when we call factorial(10)? @@ -137,7 +142,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Recursive_binary +.. mchoice:: cds_Recursive_binary + :author: Cynthia Lee Which line should be coded here? @@ -165,7 +171,8 @@ assess what you have learned in this chapter. - Wrong! - .. mchoice:: cds_Recursive_snow + .. mchoice:: cds_Recursive_snow + :author: Cynthia Lee Where should this line of code be inserted to produce the pattern shown? drawFilledBox(window, cx, cy, dim, "Gray", "Black"); @@ -215,7 +222,8 @@ assess what you have learned in this chapter. + Correct! -.. mchoice:: cds_Recursive_realsnow +.. mchoice:: cds_Recursive_realsnow + :author: Cynthia Lee Can these be made by changing the order of lines and/or deleting lines in the draw function? @@ -248,7 +256,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Recursive_maze +.. mchoice:: cds_Recursive_maze + :author: Cynthia Lee In what order do we visit these spaces? @@ -275,7 +284,8 @@ assess what you have learned in this chapter. + Correct! We can't visit x2. -.. mchoice:: cds_Recursive_stack +.. mchoice:: cds_Recursive_stack + :author: Cynthia Lee What is the deepest the Stack gets during the solving of this maze? @@ -301,7 +311,8 @@ assess what you have learned in this chapter. + Correct! -.. mchoice:: cds_Recursive_fibonacci +.. mchoice:: cds_Recursive_fibonacci + :author: Cynthia Lee How many times would we calculate Fib(2) while calculating Fib(6)? See if you can just “read” it off the chart above. @@ -323,7 +334,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Recursive_fibonacci-2 +.. mchoice:: cds_Recursive_fibonacci-2 + :author: Cynthia Lee Assume we have to calculate each unique function call once, but never again. And We “remember” the answer from the first time. How many rectangles remain in the above chart for n=5? @@ -354,7 +366,8 @@ assess what you have learned in this chapter. + Correct! 6 or 9 -.. mchoice:: cds_Recursive_fibonacci-3 +.. mchoice:: cds_Recursive_fibonacci-3 + :author: Cynthia Lee Assume we have to calculate each unique function call once, but never again. And We “remember” the answer from the first time. For some integer n>2, what is the largest number of function calls that can be triggered by the calculation of F(n) in this new “remember” system? @@ -382,6 +395,7 @@ assess what you have learned in this chapter. - Wrong! .. mchoice:: cds_Recursive_memory + :author: Cynthia Lee How does this look in memory? diff --git a/_sources/SearchHash/Exercises.rst b/_sources/SearchHash/Exercises.rst index 84fe331b..0b0ba56d 100644 --- a/_sources/SearchHash/Exercises.rst +++ b/_sources/SearchHash/Exercises.rst @@ -5,7 +5,8 @@ Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. -.. mchoice:: cds_Hash_quick +.. mchoice:: cds_Hash_quick + :author: Cynthia Lee Can we do binary search on a linked list to implement a quick insert? @@ -24,7 +25,8 @@ assess what you have learned in this chapter. -.. mchoice:: cds_Harsh_BSTput +.. mchoice:: cds_Harsh_BSTput + :author: Cynthia Lee Insert: 22, 9, 34, 18, 3 How many of these result in the same tree structure as above? @@ -49,7 +51,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_badBST //? +.. mchoice:: cds_Harsh_badBST + :author: Cynthia Lee How many distinctly structured BSTs are there that exhibit the worst-case height (height equals the number of nodes) for a tree with 5 nodes? @@ -74,7 +77,8 @@ assess what you have learned in this chapter. + Correct! 2^4 = 16 -.. mchoice:: cds_Harsh_bestBST //? +.. mchoice:: cds_Harsh_bestBST + :author: Cynthia Lee What is the BEST CASE cost for doing containsKey() in BST? @@ -99,7 +103,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_worstBST +.. mchoice:: cds_Harsh_worstBST + :author: Cynthia Lee What is the WORST CASE cost for doing containsKey() in BST? @@ -124,7 +129,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_worstBST +.. mchoice:: cds_Harsh_worstBST + :author: Cynthia Lee What is the WORST CASE cost for doing containsKey() in BST if the BST is complete?? @@ -149,7 +155,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_closedaddressing +.. mchoice:: cds_Harsh_closedaddressing + :author: Cynthia Lee Where does key=“Annie” value=55 go if hashkey(“Annie”) = 3? @@ -165,7 +172,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_hashmap +.. mchoice:: cds_Harsh_hashmap + :author: Cynthia Lee We don’t actually need to store the keys in the nodes—we only really need the key to find which index, then store the value there.TRUE or FALSE @@ -177,7 +185,8 @@ assess what you have learned in this chapter. + Correct! - .. mchoice:: cds_Harsh_print + .. mchoice:: cds_Harsh_print + :author: Cynthia Lee What does this print? @@ -213,7 +222,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_print2 +.. mchoice:: cds_Harsh_print2 + :author: Cynthia Lee What does this print? @@ -254,7 +264,8 @@ assess what you have learned in this chapter. + Correct! -.. mchoice:: cds_Harsh_Pprintorder +.. mchoice:: cds_Harsh_Pprintorder + :author: Cynthia Lee How can we get this to print our ABCs in order? @@ -281,7 +292,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_printorder2 +.. mchoice:: cds_Harsh_printorder2 + :author: Cynthia Lee That prints the ABC nodes in order, but notice that our ABC tree isn’t a BST. How do we print BST nodes in order? @@ -318,7 +330,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Harsh_print3 +.. mchoice:: cds_Harsh_print3 + :author: Cynthia Lee We can play the same game with non-alpha characters as keys: What does this print? diff --git a/_sources/Sort/Exercises.rst b/_sources/Sort/Exercises.rst index d1b9baa3..e9826f73 100644 --- a/_sources/Sort/Exercises.rst +++ b/_sources/Sort/Exercises.rst @@ -5,7 +5,8 @@ Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. -.. mchoice:: cds_Sort_secondout +.. mchoice:: cds_Sort_secondout + :author: Cynthia Lee I would like to move one paper from the two sorted sub-piles to the combined sorted pile. How many papers do I have to examine, at most, to identify the current smallest element of both sorted sub-piles? @@ -26,7 +27,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Sort_secondout +.. mchoice:: cds_Sort_secondout + :author: Cynthia Lee How many steps does it take to fully merge two sorted sub-piles, A and B? (best/tight answer) @@ -47,7 +49,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_Sort_secondout +.. mchoice:: cds_Sort_secondout + :author: Cynthia Lee Consider an arbitrarily chosen (generic) particular exam and mentally track its progress throughout the algorithm. How many times does your exam pass through the merge step? diff --git a/_sources/Trees/Exercises.rst b/_sources/Trees/Exercises.rst index 6a413a3e..f2740bac 100644 --- a/_sources/Trees/Exercises.rst +++ b/_sources/Trees/Exercises.rst @@ -5,7 +5,8 @@ Answer the following **Multiple Choice** questions to assess what you have learned in this chapter. -.. mchoice:: cds_tree_remove +.. mchoice:: cds_tree_remove + :author: Cynthia Lee Suppose we have a pointer (current) to the node containing the item to be removed. What additional information do we need to successfully remove the node? @@ -33,7 +34,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_binarytree +.. mchoice:: cds_tree_binarytree + :author: Cynthia Lee How many of these are valid binary trees? @@ -56,7 +58,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_binaryheap +.. mchoice:: cds_tree_binaryheap + :author: Cynthia Lee How many of these are valid binary heaps? @@ -79,7 +82,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_minbinaryheap +.. mchoice:: cds_tree_minbinaryheap + :author: Cynthia Lee How many of these are valid min-binary-heaps? @@ -106,7 +110,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_minbinaryheap2 +.. mchoice:: cds_tree_minbinaryheap2 + :author: Cynthia Lee In how many places could the smallest number in this min-binary-heap be located? @@ -133,7 +138,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_arrayheap +.. mchoice:: cds_tree_arrayheap + :author: Cynthia Lee For the tree of height h, the array length is 2^h-1 For a node in array index i: Parent is at array index:? @@ -160,7 +166,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_arraybinheap +.. mchoice:: cds_tree_arraybinheap + :author: Cynthia Lee For the tree of height h, the array length is 2^h-1 For a node in array index i: Left child is at array index:? @@ -187,7 +194,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_tf +.. mchoice:: cds_tree_tf + :author: Cynthia Lee There is only one configuration of a valid min-heap containing the elements {34, 22, 3, 9, 18} @@ -200,7 +208,8 @@ assess what you have learned in this chapter. + Correct! - .. mchoice:: cds_tree_distict + .. mchoice:: cds_tree_distict + :author: Cynthia Lee How many distinct min-heaps are possible for the elements {3, 9, 18, 22, 34}? @@ -221,7 +230,8 @@ assess what you have learned in this chapter. - Wrong! - .. mchoice:: cds_tree_time + .. mchoice:: cds_tree_time + :author: Cynthia Lee What is the worst-case time cost for each heap operation: Add, Remove, Peek? @@ -238,7 +248,8 @@ assess what you have learned in this chapter. - Wrong! -.. mchoice:: cds_tree_insert +.. mchoice:: cds_tree_insert + :author: Cynthia Lee What is the next configuration in this sequence?

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Byw(5! literal 0 HcmV?d00001 diff --git a/_sources/Graphs/toctree.rst b/_sources/Graphs/toctree.rst index 6a62f077..cc8d8a89 100644 --- a/_sources/Graphs/toctree.rst +++ b/_sources/Graphs/toctree.rst @@ -31,3 +31,4 @@ Graphs and Graph Algorithms DiscussionQuestions.rst ProgrammingExercises.rst Glossary.rst + Exercises.rst diff --git a/_sources/Introduction/Exercises.rst b/_sources/Introduction/Exercises.rst new file mode 100644 index 00000000..74293137 --- /dev/null +++ b/_sources/Introduction/Exercises.rst @@ -0,0 +1,383 @@ +Multiple Choice Exercises +------------------------- + +Answer the following **Multiple Choice** questions to +assess what you have learned in this chapter. + +.. mchoice:: cds_intro_bug + + Can you find the bug here? + + :: + + // (includes omitted) + static void clearBoard(Grid board); + + int main(){ + Grid board(8,8); + /* note that clearing here is not + * strictly necessary */ + clearBoard(board); + // …more code to come… + return 0; + } + + static void clearBoard(Grid board){ + for (int i=0; i& board) + + - The code is inefficient. + + - Wrong! + + + + +.. mchoice:: cds_intro_betterone + + Which one is better? + + :: + + // The first one + static void printBoard(Grid& board){ + for (int i=0; i board){ + for (int i=0; i> mymap; + + Vector numbers; + numbers.add(1); + numbers.add(2); + numbers.add(3); + + mymap["123"] = numbers; + + mymap["123"].add(4); 
 + cout << “New size: " << mymap["123"].size() << endl; + + - 3 + + - Wrong! Take notice of it, it is returning a reference + + - 4 + + + Correct! Returning a reference + + - Error + + - Wrong! + + - Other + + - Wrong! + + +.. mchoice:: cds_intro_reference2 + + What is the outcome of code? + + :: + + Map> mymap; + + Vector numbers; + numbers.add(1); + numbers.add(2); + numbers.add(3); + + mymap["123"] = numbers; + + Vector plainTest = mymap["123"]; + plainTest.add(4); + + cout << “New size: " << mymap["123"].size() << endl; + + - 3 + + + Correct! + + - 4 + + - Wrong! The outcome is about mymap but not plainTest. + + - Error + + - Wrong! + + - Other + + - Wrong! + + +.. mchoice:: cds_intro_reference3 + + What is the outcome of code? + + :: + + Map> mymap; + + Vector numbers; + numbers.add(1); + numbers.add(2); + numbers.add(3); + + mymap["123"] = numbers; + + Vector plainTest = mymap["123"]; + referenceTest.add(4); + + cout << “New size: " << mymap["123"].size() << endl; + + - 3 + + - Wrong! + + - 4 + + + Correct! + + - Error + + - Wrong! + + - Other + + - Wrong! + +.. mchoice:: cds_intro_pointer + + What is the correct picture? + + :: + + head->next->next = new ListNode; + + head->next->next->data = 40; + + .. figure:: Figures/pointer-before.jpg + :width: 200px + :align: pointer-before + :figclass: align-center + + - .. figure:: Figures/pointer-after1.jpg + :width: 200px + :align: pointer-before + :figclass: align-center + + - Wrong! + + - .. figure:: Figures/pointer-after2.jpg + :width: 200px + :align: pointer-before + :figclass: align-center + + + Correct! + + - Using “next” that is NULL gives an error + + - Wrong! + +.. mchoice:: cds_intro_reference1 + + What is the outcome of code? + + :: + + Map> mymap; + + Vector numbers; + numbers.add(1); + numbers.add(2); + numbers.add(3); + + mymap["123"] = numbers; + + mymap["123"].add(4); 
 + cout << “New size: " << mymap["123"].size() << endl; + + - 3 + + - Wrong! Take notice of it, it is returning a reference + + - 4 + + + Correct! Returning a reference + + - Error + + - Wrong! + + - Other + + - Wrong! + +.. mchoice:: cds_intro_inherMammel + + What is printed? + Siamese * s = new Siamese; + cout << s->toString(); + + :: + + class Mammal { + public: + virtual void makeSound() = 0;
 string toString() { return “Mammal”; }
 }; + class Cat : public Mammal { 
 public: 
 virtual void makeSound() { cout << “rawr” << endl; } + string toString() { return “Cat”; }
 };
 class Siamese : public Cat { + public: + virtual void makeSound() { cout << “meow” << endl; } + string toString() { return “Siamese”; }
 }; + + - “Mammal” + + - Wrong! + + - “Cat” + + - Wrong! + + - “Siamese” + + + Correct! + + - Gives an error + + - Wrong! + +.. mchoice:: cds_intro_inherMammel2 + + What is printed? + Cat * c = new Siamese; + cout << c->toString(); + + :: + + class Mammal { + public: + virtual void makeSound() = 0;
 string toString() { return “Mammal”; }
 }; + class Cat : public Mammal { 
 public: 
 virtual void makeSound() { cout << “rawr” << endl; } + string toString() { return “Cat”; }
 };
 class Siamese : public Cat { + public: + virtual void makeSound() { cout << “meow” << endl; } + string toString() { return “Siamese”; }
 }; + + - “Mammal” + + - Wrong! + + - “Cat” + + + Correct! + + - “Siamese” + + - Wrong! + + - Gives an error + + - Wrong! + +.. mchoice:: cds_intro_inherMammel3 + + What is printed? + Cat * c = new Siamese; + c->makeSound(); + + :: + + class Mammal { + public: + virtual void makeSound() = 0;
 string toString() { return “Mammal”; }
 }; + class Cat : public Mammal { 
 public: 
 virtual void makeSound() { cout << “rawr” << endl; } + string toString() { return “Cat”; }
 };
 class Siamese : public Cat { + public: + virtual void makeSound() { cout << “meow” << endl; } + string toString() { return “Siamese”; }
 }; + + - “rawr” + + - Wrong! + + - “meow” + + + Correct! + + - “Siamese” + + - Wrong! + + - Gives an error + + - Wrong! + + .. mchoice:: cds_intro_design + + Which best explains good design of destructors in polymorphic classes? + + + - Destructors are specific to each class, so we don’t need to apply virtual to them + + - Wrong! + + - Destructors should be virtual or we will cause a memory leak in cases like this: “DerivedType obj = new DerivedType(); delete obj;” + + - Wrong! + + - Destructors should be virtual or we will cause a memory leak in cases like this: “BaseType obj = new DerivedType(); delete obj;” + + + Correct! 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