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Give an O(n3 ) algorithm to find the length of the longest simple path in an n-node graph, on the assumption that no cycle has a positive length.
Hint : Adapt Floyd's algorithm for shortest paths (see, e.g., A. V. Aho and J. D. Ullman, Foundations of Computer Science, Computer Science Press, New York, 1992)
hardware store sells house numerals. It has large quantities of the numerals 3, 5 and 8 but is out of all the others. How many different house numbers, with no more than three digits, can be made from these numerals?
A 43 in piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. How should the string be cut so that the sum of the areas is a minimum?
an unnoticed mechanical failure has caused one-fourth of a machine shops production of 10000 pistol firing pins to be
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05 , what was the average time for one of his earlier splits?
What is the standard deviation for the Normal distribution appropriate to approximate the probability model for the proportion of green m&ms in this sample of 200?
Does the data suggest that adding a chemical bath treatment makes a difference? Implement a one-factor ANOVA model and compute 95% confidence intervals for the expected time taken to complete the test suite in each group. Test whether the training..
An inspection procedure at a manufacturing plant involves picking 3 items in a random and then accepting the whole lot if at least 2 or 3 items are in perfect condition. if in reality 90% of the lots are perfect, what's the probability the whole l..
Solve the system of equations by the substitution method. State whether equation is independent, dependent, or inconsistent.
Quiz 4. Level curves are shown for a function f. Determine whether the following partial derivatives are positive or negative at the point P
a risk averse person with a von-neumann-morgenstern utility index of u 1ny has a 20 chance that a disaster will reduce
Determine whether the following are equal. If not, which is smaller, and why?
Pizza Crusts. At Pizza Perfect, Ron can make 100 large pizza crusts in 1.2 hr less than Chad. Together they can do the job in 1.8 hr. How long does it take each to do the job alone?
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