"""
A non-empty array A consisting of N integers is given. Array A represents
numbers on a tape.

Any integer P, such that 0 < P < N, splits this tape into two non-empty parts:
    A[0], A[1], ..., A[P − 1] and A[P], A[P + 1], ..., A[N − 1].

The difference between the two parts is the value of:
    |(A[0] + A[1] + ... + A[P − 1]) − (A[P] + A[P + 1] + ... + A[N − 1])|

In other words, it is the absolute difference between the sum of the first part
and the sum of the second part.

For example, consider array A such that:
  A[0] = 3
  A[1] = 1
  A[2] = 2
  A[3] = 4
  A[4] = 3

We can split this tape in four places:

        P = 1, difference = |3 − 10| = 7
        P = 2, difference = |4 − 9| = 5
        P = 3, difference = |6 − 7| = 1
        P = 4, difference = |10 − 3| = 7

Write a function:

    class Solution { public int solution(int[] A); }

that, given a non-empty array A of N integers, returns the minimal difference
that can be achieved.

For example, given:
  A[0] = 3
  A[1] = 1
  A[2] = 2
  A[3] = 4
  A[4] = 3

the function should return 1, as explained above.

Write an efficient algorithm for the following assumptions:

        N is an integer within the range [2..100,000];
        each element of array A is an integer within the range [−1,000..1,000].
"""

def solution(A):
    size = len(A) - 1
    if size == 1:
        return abs(A[0] - A[1])

    l = [A[0]]
    r = [A[-1]]

    for i in range(size):
        l.append(l[i] + A[i+1])
        r.append(r[i] + A[size-i-1])

    res = abs(l[0] - r[size-1])
    for i in range(1, size):
        res = min(res, abs(l[i] - r[size-i-1]))
    return res

res = solution([1, 1, 3])
assert res == 1, "got {}".format(res)
res = solution([3, 1, 2, 4, 3])
assert res == 1, "got {}".format(res)
res = solution([-2, -3, -4, -1])
assert res == 0, "got {}".format(res)
res = solution([1, 8, -10, 8, 7, 9, 11])
assert res == 6, "got {}".format(res)
res = solution([-1, 1, 0, 1, -1, 0, -1, 1, -1, 0, 1, 0, 1, -1, 0])
assert res == 0, "got {}".format(res)
res = solution([14, 9])
assert res == 5, "got {}".format(res)