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First solution in Clear category for Largest Rectangle in a Histogram by CyprianSzlachciak
def largest_histogram(histogram):
S=0
if len(histogram)==1:
return histogram[0]
else:
for i in range(1,len(histogram)):
a=0
b=i
c=i+1
while b < len(histogram):
if min(histogram[a:b+1])*c>=S:
S=min(histogram[a:b+1])*c
a+=1
b+=1
return S
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. 20, 2016