Description

Let Me Count the Ways

Design a hardware module that counts the number of ways to arrange N items with combinatorial constraints. Given restrictions on adjacent positions and forbidden patterns, calculate the total valid arrangements using dynamic programming or inclusion-exclusion principles.

Example: For N=5 with array [1,2,3,4,5], count valid arrangements with given combinatorial constraints.

Source: Original problem

Input

n

32-bit Unsigned Integer
Target number.

a

Stream of 32-bit Unsigned Integer
Available numbers array.

Output

32-bit Unsigned Integer
Number of ways to reach target.