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please give me detailed solutionthanks very much ultiset multicover: We are give

ID: 3600253 • Letter: P

Question

please give me detailed solutionthanks very much

ultiset multicover: We are given a collection of multisets of a ground set U, and each u U has coverage requirement ru. A multiset contains a specified number of copies of each element. Let M(S, e) denote the multiplicity of element e in set S. The problem is to cover each element u ru times with the minimum number of multisets. Formulate and analyze an O(log m)-approximation algorithm for this problem, where m is the size of the largest multiset in the given instance (the size of a multiset counts elements with multiplicity

Explanation / Answer

# define a function
def lcm(x, y):
"""This function takes two
integers and returns the L.C.M."""

# choose the greater number
if x > y:
greater = x
else:
greater = y

while(True):
if((greater % x == 0) and (greater % y == 0)):
lcm = greater
break
greater += 1

return lcm

# change the values of num1 and num2 for a different result
num1 = 54
num2 = 24

# uncomment the following lines to take input from the user
#num1 = int(input("Enter first number: "))
#num2 = int(input("Enter second number: "))

print("The L.C.M. of", num1,"and", num2,"is", lcm(num1, num2))