Q: Code using C++ You are given two integers, n and m. You want to make m equal to 0. You decide to keep repeating the following operation until m becomes 0: • Choose an integer r, uniformly at random from the range [1, n]. Set m equal to the remainder obtained on dividing it by r. That is, replace m with m%r, where % denotes the modulo operator. Find the expected number of operations after which m becomes 0. Let the answer P for some integers P and Q such that gcd(P, Q) = 1. Output Q be equal to E = the value of PQ1 modulo 10° + 7, where Q1 denotes the modular inverse of Q modulo 10° + 7. Input: 53 Output: 333333339

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Q: Code using C++
You are given two integers, n and m. You want to make m equal to 0. You decide
to keep repeating the following operation until m becomes 0:
• Choose an integer r, uniformly at random from the range [1, n]. Set m equal
to the remainder obtained on dividing it by r. That is, replace m with m%r,
where % denotes the modulo operator.
Find the expected number of operations after which m becomes 0. Let the answer
P
for some integers P and Q such that gcd(P, Q) = 1. Output
Q
be equal to E =
the value of PQ1 modulo 10° + 7, where Q denotes the modular inverse of
Q modulo 10° + 7.
Input:
53
Output:
333333339
Transcribed Image Text:Q: Code using C++ You are given two integers, n and m. You want to make m equal to 0. You decide to keep repeating the following operation until m becomes 0: • Choose an integer r, uniformly at random from the range [1, n]. Set m equal to the remainder obtained on dividing it by r. That is, replace m with m%r, where % denotes the modulo operator. Find the expected number of operations after which m becomes 0. Let the answer P for some integers P and Q such that gcd(P, Q) = 1. Output Q be equal to E = the value of PQ1 modulo 10° + 7, where Q denotes the modular inverse of Q modulo 10° + 7. Input: 53 Output: 333333339
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