Jeff loves to develop code for random scenarios. Today Jeff started playing with a couple of Arrays A and B, each of size N. Initially A is filled with zeros. Jeff filled B with random numbers. Jeff visits each index i (1 <= i <= N) in random order. When at i, he selects another random index j such that j is greater or equal to i. He then increments A[i], A[i+1], A[i+2] ... A[j] by 1. Finally, if for any index i, A[i] is greater than B[], he then throws away that array A. For a given B, calculate the number of different arrays A, that Jeff can end up with. Two arrays are called different if there exists an index where the arrays have different values. Help Jeff in creating a C++ code that prints a single line containing the required answer modulo 109 + 7.

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
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Jeff loves to develop code for random scenarios. Today Jeff started playing with a
couple of Arrays A and B, each of size N. Initially A is filled with zeros. Jeff filled B
with random numbers. Jeff visits each index i (1 <= i <= N) in random order. When at
i, he selects another random indexj such that j is greater or equal to i. He then
increments A[i], A[i+1], A[i+2] ... Alj] by 1. Finally, if for any index i, A[i] is greater than
B[1], he then throws away that array A. For a given B, calculate the number of
different arrays A, that Jeff can end up with. Two arrays are called different if there
exists an index where the arrays have different values. Help Jeff in creating a C++
code that prints a single line containing the required answer modulo 109 + 7.
Sample Test Case:
1
111
Result:
2
Transcribed Image Text:Jeff loves to develop code for random scenarios. Today Jeff started playing with a couple of Arrays A and B, each of size N. Initially A is filled with zeros. Jeff filled B with random numbers. Jeff visits each index i (1 <= i <= N) in random order. When at i, he selects another random indexj such that j is greater or equal to i. He then increments A[i], A[i+1], A[i+2] ... Alj] by 1. Finally, if for any index i, A[i] is greater than B[1], he then throws away that array A. For a given B, calculate the number of different arrays A, that Jeff can end up with. Two arrays are called different if there exists an index where the arrays have different values. Help Jeff in creating a C++ code that prints a single line containing the required answer modulo 109 + 7. Sample Test Case: 1 111 Result: 2
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