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# http://www.geeksforgeeks.org/find-maximum-value-of-sum-iarri-with-only-rotations-on-given-array-allowed/

def max_sum(input):

arr_sum = 0

rotation_sum = 0

for i in range(len(input)):

arr_sum += input[i]

rotation_sum += i*input[i]

max_rotation_sum = rotation_sum

for i in range(1, len(input)):

rotation_sum += len(input)*input[i-1] - arr_sum

max_rotation_sum = max(max_rotation_sum, rotation_sum)

return max_rotation_sum

if __name__ == '__main__':

input = [10, 1, 2, 3, 4, 5, 6, 7, 8, 9]

print(max_sum(input))