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third solution in Clear category for Largest Rectangle in a Histogram by kalauroma7997
def largest_histogram(histogram):
M, N = max(histogram), len(histogram)
return max((len(histogram[i:j]) * min(histogram[i:j]) for i in range(N) for j in range(i+2, N+1)), default=M)
if __name__ == "__main__":
#These "asserts" using only for self-checking and not necessary for auto-testing
assert largest_histogram([5]) == 5, "one is always the biggest"
assert largest_histogram([5, 3]) == 6, "two are smallest X 2"
assert largest_histogram([1, 1, 4, 1]) == 4, "vertical"
assert largest_histogram([1, 1, 3, 1]) == 4, "horizontal"
assert largest_histogram([2, 1, 4, 5, 1, 3, 3]) == 8, "complex"
print("Done! Go check it!")
Nov. 9, 2020