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find index of first non-negative value in a sorted list
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def split(x): | |
"""return the index of the first non-negative value in a sorted list: | |
legend for comments: | |
"-" stands for negative | |
"+" stands for non-negative | |
""" | |
# check for corner cases: | |
if len(x)==0: | |
return 0 | |
elif len(x)==1: | |
return 1 | |
ind = len(x)//2 | |
if (x[ind]>=0) and ((x[ind-1] < 0)): | |
# .......-|+....... | |
return ind | |
elif (x[ind]>=0) and ((x[ind-1] >= 0)): | |
# ......+|+...... | |
# descend into the left side | |
return split(x[:ind]) | |
elif x[ind]<0: | |
# .....-|-....... | |
# descend into the right | |
return ind + split(x[ind:]) | |
# corner case: only non-negatives | |
seq = list(range(0,10)) | |
ind = split(seq) | |
print(ind) # -> 0 | |
# corner case: only negatives | |
seq = list(range(-10,0)) | |
ind = split(seq) | |
print(ind) . # -> 10 | |
# regular cases | |
import random | |
for _ in range(20): | |
seq = sorted([random.randint(-100, 100) for _ in range(10)]) | |
ind = split(seq) | |
assert (seq[ind-1]<0) and(seq[ind]>=0) | |
print(seq[ind-1],'|', seq[ind]) |
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