def getEqn(A, B):
    for i in range(len(A)):
        A[i] = Symbol('A['+str(i)+']')

    equations = [None]*(len(predictions)-1)
    for i in range(len(equations)-1):
        equations[i] = Eq(A[i]-A[i+1], B[i])

    return equations, A
def solver(predictions):
    lenPredictions = len(predictions)
    A = [None]*lenPredictions
    for i in range(lenPredictions):
        A[i] = Symbol('A['+str(i)+']')
    equations, variables = getEqn(A, predictions)
    for i in range(lenPredictions-1):
        res = solve(equations, variables)
    return res
def main():
    res = solver(predictions)

equations = [None]*(len(predictions)-1)

for i in range(len(equations)-1):
    equations[i] = Eq(A[i]-A[i+1], B[i])

for i in range(len(equations)):