#### Triplet Sum

I
```"""
Given an array of integers and another integer target,
we are required to find a triplet from the array such that it's sum is equal to
the target.
"""

from __future__ import annotations

from itertools import permutations
from random import randint
from timeit import repeat

def make_dataset() -> tuple[list[int], int]:
arr = [randint(-1000, 1000) for i in range(10)]
r = randint(-5000, 5000)
return (arr, r)

dataset = make_dataset()

def triplet_sum1(arr: list[int], target: int) -> tuple[int, ...]:
"""
Returns a triplet in the array with sum equal to target,
else (0, 0, 0).
>>> triplet_sum1([13, 29, 7, 23, 5], 35)
(5, 7, 23)
>>> triplet_sum1([37, 9, 19, 50, 44], 65)
(9, 19, 37)
>>> arr = [6, 47, 27, 1, 15]
>>> target = 11
>>> triplet_sum1(arr, target)
(0, 0, 0)
"""
for triplet in permutations(arr, 3):
if sum(triplet) == target:
return tuple(sorted(triplet))
return (0, 0, 0)

def triplet_sum2(arr: list[int], target: int) -> tuple[int, int, int]:
"""
Returns a triplet in the array with sum equal to target,
else (0, 0, 0).
>>> triplet_sum2([13, 29, 7, 23, 5], 35)
(5, 7, 23)
>>> triplet_sum2([37, 9, 19, 50, 44], 65)
(9, 19, 37)
>>> arr = [6, 47, 27, 1, 15]
>>> target = 11
>>> triplet_sum2(arr, target)
(0, 0, 0)
"""
arr.sort()
n = len(arr)
for i in range(n - 1):
left, right = i + 1, n - 1
while left < right:
if arr[i] + arr[left] + arr[right] == target:
return (arr[i], arr[left], arr[right])
elif arr[i] + arr[left] + arr[right] < target:
left += 1
elif arr[i] + arr[left] + arr[right] > target:
right -= 1
return (0, 0, 0)

def solution_times() -> tuple[float, float]:
setup_code = """
from __main__ import dataset, triplet_sum1, triplet_sum2
"""
test_code1 = """
triplet_sum1(*dataset)
"""
test_code2 = """
triplet_sum2(*dataset)
"""
times1 = repeat(setup=setup_code, stmt=test_code1, repeat=5, number=10000)
times2 = repeat(setup=setup_code, stmt=test_code2, repeat=5, number=10000)
return (min(times1), min(times2))

if __name__ == "__main__":
from doctest import testmod

testmod()
times = solution_times()
print(f"The time for naive implementation is {times[0]}.")
print(f"The time for optimized implementation is {times[1]}.")
```