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max_slice_sum.py
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max_slice_sum.py
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"""
A non-empty zero-indexed array A consisting of N integers is given.
A pair of integers (P, Q), such that 0 ≤ P ≤ Q < N, is called a slice of array A.
The sum of a slice (P, Q) is the total of A[P] + A[P+1] + ... + A[Q].
Write a function:
def solution(A)
that, given an array A consisting of N integers,
returns the maximum sum of any slice of A.
For example, given array A such that:
A[0] = 3 A[1] = 2 A[2] = -6
A[3] = 4 A[4] = 0
the function should return 5 because:
(3, 4) is a slice of A that has sum 4,
(2, 2) is a slice of A that has sum −6,
(0, 1) is a slice of A that has sum 5,
no other slice of A has sum greater than (0, 1).
Assume that:
N is an integer within the range [1..1,000,000];
each element of array A is an integer within the range [−1,000,000..1,000,000];
the result will be an integer within the range [−2,147,483,648..2,147,483,647].
Complexity:
expected worst-case time complexity is O(N);
expected worst-case space complexity is O(N),
beyond input storage (not counting the storage required for input arguments).
Elements of input arrays can be modified.
"""
def solution(A):
max_slice = 0
ret_val = A[0]
for value in A:
max_slice = max(value, max_slice + value)
ret_val = max(ret_val, max_slice)
return ret_val