In a village, there are n people who each has an ID number from 1 to n. Each person is either completely honest or a total liar. One day, a detective came to visit and interviewed them. This is what they told him:
If a person had an ID number x where x is even, he said:
"The person whose ID number is x/2 is honest"
If a person had an ID number x where x is odd and greater than one, he said:
"The person whose ID number is (x-1)/2 is a liar"
Person with ID number of 1 did not say anything.
If L is the number of liars and H is the number of honest villagers, find all possible values of L-H
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment