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First solution in Clear category for Largest Rectangle in a Histogram by szymonkukla1
def largest_histogram(histogram):
increasing, area, i = [], 0, 0
while(i <= len(histogram)):
if not increasing or (i < len(histogram) and histogram[i] > histogram[increasing[-1]]):
increasing.append(i)
i += 1
else:
last = increasing.pop()
if not increasing:
area = max(area, histogram[last] * i)
else:
area = max(area, histogram[last] * (i - increasing[-1] - 1))
return(area)
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. 16, 2016
