The maximum divisible
Simon Green
Posted on March 31, 2024
Weekly Challenge 262
Happy 6th birthday Team PWC!
Each week Mohammad S. Anwar sends out The Weekly Challenge, a chance for all of us to come up with solutions to two weekly tasks. My solutions are written in Python first, and then converted to Perl. It's a great way for us all to practice some coding.
Task 1: Max Positive Negative
Task
You are given an array of integers, @ints
.
Write a script to return the maximum number of either positive or negative integers in the given array.
My solution
A nice simple task to start this week. Count the number of negative integers, and store that as neg_count
. I then count the number of positive integers, storing that as pos_count
. Finally I return the maximum of those two values.
def max_type(ints: list) -> int:
neg_count = pos_count = 0
for i in ints:
if i < 0:
neg_count += 1
elif i > 0:
pos_count += 1
return max(neg_count, pos_count)
Examples
$ ./ch-1.py -3 1 2 -1 3 -2 4
4
$ ./ch-1.py -1 -2 -3 1
3
$ ./ch-1.py 1 2
2
Task 2: Count Equal Divisible
Task
You are given an array of integers, @ints
and an integer $k
.
Write a script to return the number of pairs (i, j) where
0 <= i < j < size of @ints
ints[i] == ints[j]
-
i × j
is divisible byk
My solution
In Python, this can be done in a single command, due to it's list comprehension feature. I have an outer loop i
from 0
to two less than the length of the array (the second last position), and an inner loop j
from i + 1
to one less than the length of array. For each value of i
and j
I check that the numbers at the position i
and j
are equal and that i × j
is divisible by k
.
def equal_div(ints: list, k: int) -> int:
count = sum(1
for i in range(len(ints)-1)
for j in range(i+1, len(ints))
if ints[i] == ints[j] and i * j % k == 0
)
return count
If the lists were larger, I could optimize the computation by splitting the lists based the value. However, it is assumed that the number of items in ints
is relatively small.
Examples
$ ./ch-2.py 3 1 2 2 2 1 3 2
4
$ ./ch-2.py 1 2 3 2
0
Posted on March 31, 2024
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