An integer X is cool if it has a primitive root modulo X. The coolness of a non-empty set of N distinct integers S = {x1, P2, . .., æN} is the number of cool divisors of [I1 ;. You are given four integers L, R, A and B. Let S be the set containing all integers between L and R (inclusive). Consider all non-empty subsets of S with size between A and B (inclusive). Find the sum of values of coolness of all these subsets. Since this sum can be huge, compute it modulo 998, 244, 353.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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An integer X is cool if it has a primitive root modulo X.
The coolness of a non-empty set of N distinct integers S = {x1, x2,..., N} is
the number of cool divisors of II1 ti.
You are given four integers L, R, A and B. Let S be the set containing all
integers between L and R (inclusive). Consider all non-empty subsets of S with
size between A and B (inclusive). Find the sum of values of coolness of all these
subsets. Since this sum can be huge, compute it modulo 998, 244, 353.
Transcribed Image Text:An integer X is cool if it has a primitive root modulo X. The coolness of a non-empty set of N distinct integers S = {x1, x2,..., N} is the number of cool divisors of II1 ti. You are given four integers L, R, A and B. Let S be the set containing all integers between L and R (inclusive). Consider all non-empty subsets of S with size between A and B (inclusive). Find the sum of values of coolness of all these subsets. Since this sum can be huge, compute it modulo 998, 244, 353.
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