2. Bob and Permutations Bob is fascinated by permutations, so he reached out to Alice and Yoda to find a good question on permutation of [1, 2, 3, ..., n]. Let A1, A2. ., An denote Bob's permutation. Alice and Yoda gave the following condition which should be satisfied such that there exists an i between 2 and n-1 (both inclusive): • Aj > Aj+1 V isjsn-1. • Aj > Aj-1 V 2 sjsi. means "for all" Help Bob in finding out the number of permutations that satisfy conditions given by Alice and Yoda. Input You will be given 1 integern You need to complete the function where the above integer will be given as an argument. Output Return the number of permutations modulo 10+7 Constraints 1sns 10° Sample Case Input:
2. Bob and Permutations Bob is fascinated by permutations, so he reached out to Alice and Yoda to find a good question on permutation of [1, 2, 3, ..., n]. Let A1, A2. ., An denote Bob's permutation. Alice and Yoda gave the following condition which should be satisfied such that there exists an i between 2 and n-1 (both inclusive): • Aj > Aj+1 V isjsn-1. • Aj > Aj-1 V 2 sjsi. means "for all" Help Bob in finding out the number of permutations that satisfy conditions given by Alice and Yoda. Input You will be given 1 integern You need to complete the function where the above integer will be given as an argument. Output Return the number of permutations modulo 10+7 Constraints 1sns 10° Sample Case Input:
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![2. Bob and Permutations
Bob is fascinated by permutations, so he reached out to Allce and
Yoda to find a good question on permutation of [1, 2, 3, ..., n].
Let Aq, A2.
An denote Bob's permutation. Allce and Yoda gave
the following condition which should be satisfied such that there
exists an i between 2 and n-1 (both inclusive):
• Aj > Aj+1 Visjsn- 1.
• Aj > Aj-1 V 2sjsi.
means "for all"
Help Bob in finding out the number of permutations that satisfy
conditions given by Alice and Yoda.
Input
You will be given 1 integer n
You need to complete the function where the above integer will be
given as an argument.
Output
Return the number of permutations modulo 10+7
Constraints
1sns 109
Sample Case
Input:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa21c4e5d-e5f3-4162-b9ae-1dfa4542b013%2F577d40dd-26bb-49dd-8c9c-28e81c24d8f5%2Fbey7sjb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Bob and Permutations
Bob is fascinated by permutations, so he reached out to Allce and
Yoda to find a good question on permutation of [1, 2, 3, ..., n].
Let Aq, A2.
An denote Bob's permutation. Allce and Yoda gave
the following condition which should be satisfied such that there
exists an i between 2 and n-1 (both inclusive):
• Aj > Aj+1 Visjsn- 1.
• Aj > Aj-1 V 2sjsi.
means "for all"
Help Bob in finding out the number of permutations that satisfy
conditions given by Alice and Yoda.
Input
You will be given 1 integer n
You need to complete the function where the above integer will be
given as an argument.
Output
Return the number of permutations modulo 10+7
Constraints
1sns 109
Sample Case
Input:
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