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We have 5 objects, and the weights and values are
No. 1 2 3 4 5
w 10 20 30 40 50
v 20 30 66 40 60
The knapsack can carry a weight not exceeding 100, find a subset items and give the total weight and value for following algorithms:
1) By using the algorithm of greedy of value for 0-1 knapsack problem? By selecting the highest value first.
2) By using the algorithm of greedy of weight for 0-1 knapsack problem? By selecting lightest item first.
3) By using the algorithm of greedy of density for 0-1 knapsack problem? By selecting the highest density item first.
4) By using the algorithm of greedy of density for fractional knapsack problem? By selecting the highest density item first.
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Then calculate message digest on the result. Would this be a good message digest function? Describe. Message digests are reasonably fast.
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The quicksort algorithm was developed in 1960 by Tony Hoare while in the Soviet Union, as a visiting student at Moscow State University.
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Prove that if a linear fractional transformation w = (az + b) / ( cz + d) maps the real line of the z plane into the real line of the w plane, then a , b, c, and d must all be real, except possibly for a common phase factor that can be remov..
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