Assignment Task 1: Write a procedurep(L, n, a), which returns the nth smallest value of j such as the binary representation of aj has L leading ones.
Write a program, which given a set of parameters L, n, a passed via R0, R1, and R2 returns p(L, n, a)in R3.
Assignment Task 2: If a triple of positive integers (a, b, c) satisfies a2 + b2 = c2, it is called a Pythagorean triple. No triple (a, b, c) satisfies ae + be = ce when e ≥ 3 (Fermat's Last Theorem). However, if the exponents of the left-hand side and right-hand side differ, this is not true. For example, 33 + 63 = 35.
Let a, b, c, e, f be all positive integers, 0 < a < b, e ≥ 2, f ≥ 3 and cf ≤ N. Let F(N) be the count of possible tuples (a, b, c, e, f) such that ae + be = cf ≤ N.
Write a program, which given a natural number N stored in R0, calculates F(N) in R1.
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