You are given a list of M positive numbers, Ao. A1, .... AM-1- You have to answer Q queries. Each query has four parameters, I, r, n, k. Given a query with parameters I, r, n, k here is how to compute the answer: • Let (B1, B2 . Ba) = (Aj, A+1. .. A,), where d = r-l+1. • Let S= set of all points (x1, X2, Xa) in d-dimensional space such that 0 < x; .... SBj. For x, y eS, define dist(x, y) = min, sisal X - Yil • The answer is number of subsets of S of size exactly n such that distance (denoted by above defined dist function) between any two points is at least k.

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Python Programming
You are given a list of M positive numbers, Ao, A1. ..., Am-1. You have to answer Q
queries. Each query has four parameters, I, r, n, k. Given a query with parameters
I, r, n, k here is how to compute the answer:
• Let (B1, B2 . Ba) = (Aj, A1+1, ... „A,), where d = r-l+1.
• Let S = set of all points (x1, X2,
SBi.
• For x, y eS, define dist(x, y) = min, sisdl Xi - Yıl
• The answer is number of subsets of S of size exactly n such that distance
Xa) in d-dimensional space such that 0 < X;
...
(denoted by above defined dist function) between any two points is at least k.
Input
The first line of input contains two integers, M and Q. The second line contains M
space-separated integers Ao, A1, ..., AM-1 denoting the array A. The next Q lines
contain one query each. Each query consists of a single line having the four space
separated integers I, r, n, k in this order.
Output
For each query, output a single line containing the answer modulo 1000000007
(109 + 7).
Test Case:
5 1
454 6 2
0321
Output:
5400.0
Transcribed Image Text:Python Programming You are given a list of M positive numbers, Ao, A1. ..., Am-1. You have to answer Q queries. Each query has four parameters, I, r, n, k. Given a query with parameters I, r, n, k here is how to compute the answer: • Let (B1, B2 . Ba) = (Aj, A1+1, ... „A,), where d = r-l+1. • Let S = set of all points (x1, X2, SBi. • For x, y eS, define dist(x, y) = min, sisdl Xi - Yıl • The answer is number of subsets of S of size exactly n such that distance Xa) in d-dimensional space such that 0 < X; ... (denoted by above defined dist function) between any two points is at least k. Input The first line of input contains two integers, M and Q. The second line contains M space-separated integers Ao, A1, ..., AM-1 denoting the array A. The next Q lines contain one query each. Each query consists of a single line having the four space separated integers I, r, n, k in this order. Output For each query, output a single line containing the answer modulo 1000000007 (109 + 7). Test Case: 5 1 454 6 2 0321 Output: 5400.0
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