CSC373 Fall’20 Assignment 2 Solutions Q1 [20 Points] Fruit Frenzy, Revisited In the dilemma that you helped Dinosaur Bobby solve in Assignment 1, there were n gardens. Each garden i was described by two integers: ei, the easiness of reaching garden i, and qi, the number of fruits in garden i. Garden i was called […]
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Q1 Coin change CSC373 Fall’20 Tutorial 3 Tuesday, Sept. 29, 2020 Consider the problem of making change with fewest possible coins. Input: A positive integer A, and positive integer “denominations” d[1] < d[2] < . . . < d[m]. Output: A list of “coins” c[1 . . . n] is feasible when each c[i] is
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Fall 2008 Term Test # 2 — Solutions CSC 373 H1 Note to Students: This file contains sample solutions to the term test together with the marking scheme and comments for each question. Please read the solutions and the marking schemes and comments carefully. Make sure that you understand why the solutions given here are
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Q1 Coin change CSC373 Fall’20 Tutorial 3 Tuesday, Sept. 29, 2020 Consider the problem of making change with fewest possible coins. Input: A positive integer A, and positive integer “denominations” d[1] < d[2] < . . . < d[m]. Output: A list of “coins” c[1 . . . n] is feasible when each c[i] is
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Q1 Set Cover (SC) CSC373 Fall’20 Tutorial 7 Solutions Nov 3, 2020 Given a set of elements E = {x1,x2,…,xn} and a collection S = {H1,H2,…,Hm} containing subsetsofE,wewanttofindasmallestsubsetCofEsuchthatC∩Hj ̸=∅foreveryHj ∈S. Write an integer program for this. Solution to Q1 We have one binary variable vi ∈ {0, 1} to indicate whether element xi ∈ E
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CSC373 Fall’20 Tutorial 1 Tuesday, Sept. 15, 2020 Master Theorem (General Version): For constants a 1 and b > 1, and an asymptotically positive function f(n), the recurrence relation T (n) a · T (n/b) + O(f (n)) has the following solution. 1. If f(n) = Onlogb a−ε for some constant ε >
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Q1 Ford Fulkerson Consider the following network: CSC373 Fall¡¯20 Tutorial 4 Tuesday, Oct. 6, 2020 5 99 s 936 8 b a c 4 5 4 7 Figure 1: d (a) Compute a maximum flow in this network using the Ford-Fulkerson algorithm. For each iteration, write down the augmenting path, its bottleneck/residual capacity, and the
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Q1 Standard Form CSC373 Fall’20 Tutorial 6 Oct 27, 2020 Convert the following linear program to the standard form. min 4x+3y−6z s.t. y − 3z ≥ 2x + 2 3x + 2y + 5z = 10 x, z ≥ 0 Q2 Simple Scheduling with Prerequisites (SSP) You are given n jobs with a list of
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Q1 Ford Fulkerson Consider the following network: CSC373 Fall’20 Tutorial 4 Tuesday, Oct. 6, 2020 5 99 s 936 8 a b c t Solution to Q1 (a) The iterations are as follows. 4 5 4 7 d (a) Compute a maximum flow in this network using the Ford-Fulkerson algorithm. For each iteration, write down
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12 November 2015 Term Test # 2 CSC 373 H1 Duration: Aids Allowed: Student Number: Last (Family) Name(s): First (Given) Name(s): 50 minutes One single-sided handwritten 8.5″×11″ aid sheet. Do not turn this page until you have received the signal to start. In the meantime, please read the instructions below carefully. This term test consists
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