From d756d8bb1b22793e1f80b337d51ee60d4244946c Mon Sep 17 00:00:00 2001 From: ckunki Date: Sun, 14 Sep 2025 16:35:05 +0200 Subject: [PATCH 1/5] Added Python solution proposal --- mechanics/__init__.py | 0 mechanics/mechanics.py | 99 +++++ poetry.lock | 979 +++++++++++++++++++++++++++++++++++++++++ pyproject.toml | 27 ++ 4 files changed, 1105 insertions(+) create mode 100644 mechanics/__init__.py create mode 100644 mechanics/mechanics.py create mode 100644 poetry.lock create mode 100644 pyproject.toml diff --git a/mechanics/__init__.py b/mechanics/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/mechanics/mechanics.py b/mechanics/mechanics.py new file mode 100644 index 0000000..70404dc --- /dev/null +++ b/mechanics/mechanics.py @@ -0,0 +1,99 @@ +from __future__ import annotations +import logging +from typing import Callable + +LOG = logging.getLogger(__name__) +LOG.setLevel(logging.INFO) +logging.basicConfig( + level=logging.INFO, + format="[%(levelname)s] %(message)s", +) + +# Source https://neps.academy/exercise/2568 +# +# Initial thoughts: +# +# T1) shortest job first +# T2) Rather than minimizing the waiting time, I was thinking about +# maximizing the utilization of the mechanics. +# +# Observation: In Input sample #1 the last job can be assigned to any +# mechanic, as only the waiting time matters but not the total repair +# time. Hence it doesn't matter when the last job is finished. +# +# My proposed solution uses the following strategy: +# +# 1. Sort the jobs by duration and queue the shortest job first. +# 2. In the initial batch assign the longest job to the fastest mechanic in +# order to minimize the waiting time for follow-up jobs. +# 3. When assigning the remaining jobs, then always pick the mechanic with the +# shortest waiting time. + +class Mechanic: + def __init__(self, factor: int): + self.factor = factor + self.jobs: list[int] = [] + + def queue(self, job: int) -> None: + self.jobs.append(job) + + def waiting_time(self, total: bool = False) -> int: + """ + If optional arg total is True, then include all jobs, otherwise + exclude the last job, as there is no other job needing to wait for the + last job. + """ + jobs = self.jobs + [0] if total else self.jobs + # n-1 jobs are waiting for the first job + # n-2 jobs are waiting for the 2nd job, etc. + weighted = [i * job for i, job in enumerate(reversed(jobs))] + return self.factor * sum(weighted) + + +class Workshop: + def __init__(self, factors: list[int]): + self.mechanics = [Mechanic(f) for f in sorted(factors, reverse=True)] + LOG.debug(f'mechanics (slowest first): {self.mechanics}') + + @property + def _pick_mechanic(self) -> Mechanic: + pivot = self.mechanics[0] + for m in self.mechanics: + if m.waiting_time(total=True) < pivot.waiting_time(total=True): + pivot = m + return pivot + + def distribute(self, jobs: list[int]) -> Workshop: + jobs = sorted(jobs) + + # Slowest mechanic picks shortest job. + for m in self.mechanics: + m.queue(jobs.pop(0)) + LOG.debug(f'After initial queuing: {self.mechanics}') + + # For each remaining job: pick the mechanic with shortest expected + # waiting time. + for job in jobs: + self._pick_mechanic.queue(job) + LOG.debug(f'After final queuing: {self.mechanics}') + return self + + def report(self, printer: Callable[[str], None]): + total = 0 + for m in self.mechanics: + total += m.waiting_time() + + printer(f'Total waiting time: {total}\nMechanics:') + for i, m in enumerate(self.mechanics): + printer(f'{i+1}. Factor {m.factor}, jobs: {m.jobs}.') + + +def distribute(jobs: list[int], factors: list[int]): + print(f'\nDistributing {jobs} to {factors}') + w = Workshop(factors).distribute(jobs).report(print) + + +if __name__ == "__main__": + distribute([20, 5, 10, 15], [1, 2]) + distribute([1, 1, 1, 1], [3]) + distribute([15, 5, 10, 20], [3]) diff --git a/poetry.lock b/poetry.lock new file mode 100644 index 0000000..7b7a51d --- /dev/null +++ b/poetry.lock @@ -0,0 +1,979 @@ +# This file is automatically @generated by Poetry 2.1.3 and should not be changed by hand. + +[[package]] +name = "attrs" +version = "25.3.0" +description = "Classes Without Boilerplate" +optional = false +python-versions = ">=3.8" +groups = ["main"] +files = [ + {file = "attrs-25.3.0-py3-none-any.whl", hash = "sha256:427318ce031701fea540783410126f03899a97ffc6f61596ad581ac2e40e3bc3"}, + {file = "attrs-25.3.0.tar.gz", hash = "sha256:75d7cefc7fb576747b2c81b4442d4d4a1ce0900973527c011d1030fd3bf4af1b"}, +] + +[package.extras] 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.../__pycache__/mechanics.cpython-310.pyc | Bin 0 -> 3657 bytes {mechanics => python/mechanics}/mechanics.py | 71 ++++++++++-------- poetry.lock => python/poetry.lock | 0 pyproject.toml => python/pyproject.toml | 0 ...est_mechanics.cpython-310-pytest-7.4.4.pyc | Bin 0 -> 980 bytes python/test/test_mechanics.py | 15 ++++ 8 files changed, 53 insertions(+), 33 deletions(-) rename {mechanics => python/mechanics}/__init__.py (100%) create mode 100644 python/mechanics/__pycache__/__init__.cpython-310.pyc create mode 100644 python/mechanics/__pycache__/mechanics.cpython-310.pyc rename {mechanics => python/mechanics}/mechanics.py (51%) rename poetry.lock => python/poetry.lock (100%) rename pyproject.toml => python/pyproject.toml (100%) create mode 100644 python/test/__pycache__/test_mechanics.cpython-310-pytest-7.4.4.pyc create mode 100644 python/test/test_mechanics.py diff --git a/mechanics/__init__.py b/python/mechanics/__init__.py similarity index 100% rename from mechanics/__init__.py 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Hence it doesn't matter when the last job is finished. +# time. Hence it doesn't matter when the last car is finished. # # My proposed solution uses the following strategy: # -# 1. Sort the jobs by duration and queue the shortest job first. -# 2. In the initial batch assign the longest job to the fastest mechanic in -# order to minimize the waiting time for follow-up jobs. -# 3. When assigning the remaining jobs, then always pick the mechanic with the +# 1. Sort the cars by duration and queue the shortest car first. +# 2. In the initial batch assign the longest car to the fastest mechanic in +# order to minimize the waiting time for follow-up cars. +# 3. When assigning the remaining cars, then always pick the mechanic with the # shortest waiting time. class Mechanic: def __init__(self, factor: int): self.factor = factor - self.jobs: list[int] = [] + self.cars: list[int] = [] - def queue(self, job: int) -> None: - self.jobs.append(job) + def queue(self, car: int) -> None: + self.cars.append(car) def waiting_time(self, total: bool = False) -> int: """ - If optional arg total is True, then include all jobs, otherwise - exclude the last job, as there is no other job needing to wait for the - last job. + If optional arg total is True, then include all cars, otherwise + exclude the last car, as there is no other car needing to wait for the + last car. """ - jobs = self.jobs + [0] if total else self.jobs - # n-1 jobs are waiting for the first job - # n-2 jobs are waiting for the 2nd job, etc. - weighted = [i * job for i, job in enumerate(reversed(jobs))] + cars = self.cars + [0] if total else self.cars + # n-1 cars are waiting for the first car + # n-2 cars are waiting for the 2nd car, etc. + weighted = [i * car for i, car in enumerate(reversed(cars))] return self.factor * sum(weighted) @@ -63,37 +63,42 @@ def _pick_mechanic(self) -> Mechanic: pivot = m return pivot - def distribute(self, jobs: list[int]) -> Workshop: - jobs = sorted(jobs) + def distribute(self, cars: list[int]) -> Workshop: + cars = sorted(cars) - # Slowest mechanic picks shortest job. + # Slowest mechanic picks shortest car. for m in self.mechanics: - m.queue(jobs.pop(0)) + m.queue(cars.pop(0)) LOG.debug(f'After initial queuing: {self.mechanics}') - # For each remaining job: pick the mechanic with shortest expected + # For each remaining car: pick the mechanic with shortest expected # waiting time. - for job in jobs: - self._pick_mechanic.queue(job) + for car in cars: + self._pick_mechanic.queue(car) LOG.debug(f'After final queuing: {self.mechanics}') return self - def report(self, printer: Callable[[str], None]): - total = 0 + @property + def total(self) -> int: + result = 0 for m in self.mechanics: - total += m.waiting_time() + result += m.waiting_time() + return result - printer(f'Total waiting time: {total}\nMechanics:') + + def report(self, printer: Callable[[str], None]): + printer(f'Total waiting time: {self.total}\nMechanics:') for i, m in enumerate(self.mechanics): - printer(f'{i+1}. Factor {m.factor}, jobs: {m.jobs}.') + printer(f'{i+1}. Factor {m.factor}, cars: {m.cars}.') -def distribute(jobs: list[int], factors: list[int]): - print(f'\nDistributing {jobs} to {factors}') - w = Workshop(factors).distribute(jobs).report(print) +def distribute(cars: list[int], factors: list[int]): + print(f'\nDistributing {cars} to {factors}') + w = Workshop(factors).distribute(cars).report(print) if __name__ == "__main__": - distribute([20, 5, 10, 15], [1, 2]) + distribute([15, 5, 10, 20], [1, 2]) distribute([1, 1, 1, 1], [3]) distribute([15, 5, 10, 20], [3]) + distribute([5, 5, 5, 10, 10], [10, 1]) diff --git a/poetry.lock b/python/poetry.lock similarity index 100% rename from poetry.lock rename to python/poetry.lock diff --git a/pyproject.toml b/python/pyproject.toml similarity index 100% rename from pyproject.toml rename to python/pyproject.toml diff --git a/python/test/__pycache__/test_mechanics.cpython-310-pytest-7.4.4.pyc b/python/test/__pycache__/test_mechanics.cpython-310-pytest-7.4.4.pyc new file mode 100644 index 0000000000000000000000000000000000000000..cc3cf01b2a2e641a1ea24bd120ca6b38a751cb00 GIT binary patch literal 980 zcmY*XPjAyO6t~kPP5-WAlK=@&#jO&wAcVM}X$ZLP!T~9l$c^1LEQurA)mT+d+h^c1 zA#L3F7M%DHzH$m50de5HWG%yye|bN@=V!m)v+VWS1cv(cWAU95@)OC;(E@S^Q=bEH z!f8rETK%1@;SfqPH}q)j@k1XxPTI_ZFrY;EA6l1f-k1~aex=;w{@mfs8S(&lYfgE) zV(3NIsaO|Sk9!c?2ku@ue1{Lt$r%khoW3KY-4bp>jz-i5@1;7{3t6mg$4u!*!x@W> zL_>TmL~H~fx#bQ7mmUHZTJ9r2p`>&Gln*d+RTJ(1p=@B#Erib)_@Xo>58+UDGpq>8!~W{nS`DE*l0c)DtRg9Ig88 zH;FbXnJ!I|&xb2_XykCzvtFT++$gLeZ1YWsu)Y$7RK|Kn8kXAjVR34NHW5>HH;P%B zMi8K4nH5Y4+XZ(tT_!0c*Va!ZL}+^_0!^1GuR^1FDyJ-sa+V3(iZq)E%wYSkv=+)F zGJmU-RCX_#NtH1Zf%GZM8G1%R=wf5S=5=FiuxX5?C$@v9vntKg@CJESd+L18YfnvH zd?V@}l>GZ(vXGgW#EawQWS*Fbk=b%8^2eEo7c5U=J%PFxGM`}a6+~OtxHz@_N|fyq zHdSN4_M3g$rY=?3%~96|8*vmq1ba8CTo&$<~?$F>6<0ga*8D^VR^ReA&NW47RBCiyZI2l#|FUg{y~(!d$eK70e}{^|RF E0lK#jPXGV_ literal 0 HcmV?d00001 diff --git a/python/test/test_mechanics.py b/python/test/test_mechanics.py new file mode 100644 index 0000000..1fd00f8 --- /dev/null +++ b/python/test/test_mechanics.py @@ -0,0 +1,15 @@ +import pytest +from mechanics.mechanics import Workshop + +@pytest.mark.parametrize ("cars, factors, expected", [ + ([15, 5, 10, 20], [1, 2], 20), + ([1, 1, 1, 1], [3], 18), + ([15, 5, 10, 20], [3], 150), + ([5, 5, 5, 10, 10], [10, 1], 30), +]) +def test_mechanics(cars, factors, expected): + print(f'\nDistributing {cars} to {factors}') + w = Workshop(factors).distribute(cars) + w.report(print) + return + assert w.total == expected From 16861c2628848e2404cb2e0902589357dbaaa95a Mon Sep 17 00:00:00 2001 From: ckunki Date: Sun, 14 Sep 2025 21:26:21 +0200 Subject: [PATCH 3/5] Updated .gitignore --- .gitignore | 1 + python/mechanics/mechanics.py | 14 +++----------- python/test/test_mechanics.py | 3 +-- 3 files changed, 5 insertions(+), 13 deletions(-) diff --git a/.gitignore b/.gitignore index ea8c4bf..e653f36 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1,2 @@ /target +__pycache__ diff --git a/python/mechanics/mechanics.py b/python/mechanics/mechanics.py index cc114db..416b815 100644 --- a/python/mechanics/mechanics.py +++ b/python/mechanics/mechanics.py @@ -35,7 +35,7 @@ def __init__(self, factor: int): self.cars: list[int] = [] def queue(self, car: int) -> None: - self.cars.append(car) + self.cars.insert(0, car) def waiting_time(self, total: bool = False) -> int: """ @@ -64,18 +64,10 @@ def _pick_mechanic(self) -> Mechanic: return pivot def distribute(self, cars: list[int]) -> Workshop: - cars = sorted(cars) - - # Slowest mechanic picks shortest car. - for m in self.mechanics: - m.queue(cars.pop(0)) - LOG.debug(f'After initial queuing: {self.mechanics}') - - # For each remaining car: pick the mechanic with shortest expected - # waiting time. + cars = sorted(cars, reverse=True) for car in cars: self._pick_mechanic.queue(car) - LOG.debug(f'After final queuing: {self.mechanics}') + LOG.debug(f'After queuing: {self.mechanics}') return self @property diff --git a/python/test/test_mechanics.py b/python/test/test_mechanics.py index 1fd00f8..63a5c92 100644 --- a/python/test/test_mechanics.py +++ b/python/test/test_mechanics.py @@ -10,6 +10,5 @@ def test_mechanics(cars, factors, expected): print(f'\nDistributing {cars} to {factors}') w = Workshop(factors).distribute(cars) - 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