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GitHub topics: project-euler-solutions

GeneralMing/project_euler_solutions_in_C

Language: C - Size: 28.3 KB - Last synced at: 7 days ago - Pushed at: 7 days ago - Stars: 5 - Forks: 1

TheAlgorithms/MATLAB-Octave

This repository contains algorithms written in MATLAB/Octave. Developing algorithms in the MATLAB environment empowers you to explore and refine ideas, and enables you test and verify your algorithm.

Language: MATLAB - Size: 73.8 MB - Last synced at: 9 days ago - Pushed at: over 2 years ago - Stars: 385 - Forks: 181

JacobInwald/project-euler

My project euler solutions in python

Language: Python - Size: 258 KB - Last synced at: 30 days ago - Pushed at: 30 days ago - Stars: 1 - Forks: 0

Fazendaaa/project-euler

Some of the Project Euler exercises in different languages

Language: Ruby - Size: 2.24 MB - Last synced at: about 1 month ago - Pushed at: about 1 month ago - Stars: 3 - Forks: 0

pe-solutions/pe-rustlang

Project Euler solutions in Rust

Language: Rust - Size: 235 KB - Last synced at: about 1 month ago - Pushed at: about 1 month ago - Stars: 0 - Forks: 0

hugodsmarotta/project-euler-solutions

🧮 My solutions to Project Euler problems

Size: 0 Bytes - Last synced at: about 2 months ago - Pushed at: about 2 months ago - Stars: 0 - Forks: 0

Alekseyyy/SNHU

Undergraduate Work.

Language: C++ - Size: 217 MB - Last synced at: about 2 months ago - Pushed at: about 2 months ago - Stars: 12 - Forks: 3

infiknighte/haskellProjectEulerSolves

My solutions for Project Euler in Haskell

Language: Haskell - Size: 33.2 KB - Last synced at: about 2 months ago - Pushed at: about 2 months ago - Stars: 0 - Forks: 0

vkopichenko/Contests

My competitive programming Kotlin solutions: Advent of Code, Codeforces, etc

Language: Kotlin - Size: 134 KB - Last synced at: 2 months ago - Pushed at: 2 months ago - Stars: 2 - Forks: 0

cdalvaro/project-euler

🧮👨‍💻 Series of challenging mathematical/computer programming problems

Language: C++ - Size: 451 KB - Last synced at: 2 months ago - Pushed at: 2 months ago - Stars: 1 - Forks: 1

CoolCat467/Project-Euler

My solutions for Project Euler (https://projecteuler.net/)

Language: Python - Size: 134 KB - Last synced at: 2 months ago - Pushed at: 2 months ago - Stars: 0 - Forks: 0

Vivek13130/Project-Euler-Solutions

I am solving Project Euler for fun, this repository contains my solutions.

Language: C++ - Size: 200 KB - Last synced at: 2 months ago - Pushed at: 8 months ago - Stars: 0 - Forks: 0

Harmon758/Project-Euler

Project Euler and ProjectEuler+ on HackerRank

Language: Python - Size: 6.72 MB - Last synced at: 3 months ago - Pushed at: about 1 year ago - Stars: 36 - Forks: 15

igorvanloo/Project-Euler-Explained

Project Euler Explained, codes used to solve Project Euler problems

Language: Python - Size: 62.7 MB - Last synced at: 3 months ago - Pushed at: 3 months ago - Stars: 10 - Forks: 0

idematos/rust-project-euler

Some solutions for Project Euler's problems written in Rust.

Language: Rust - Size: 320 KB - Last synced at: about 11 hours ago - Pushed at: 6 months ago - Stars: 2 - Forks: 0

khanhvu207/project-euler

This repository stores my programming solution for projecteuler.net

Language: C++ - Size: 26.4 KB - Last synced at: 5 days ago - Pushed at: 4 months ago - Stars: 0 - Forks: 0

kougioulis/project-euler

My solutions to projecteuler.net

Language: Python - Size: 371 KB - Last synced at: 3 days ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

pe-solutions/pe-dlang

Project Euler solutions in Dlang

Language: D - Size: 2.61 MB - Last synced at: 5 months ago - Pushed at: 5 months ago - Stars: 2 - Forks: 0

CroMarmot/OICode

Language: C++ - Size: 454 KB - Last synced at: 3 months ago - Pushed at: 6 months ago - Stars: 0 - Forks: 0

maykeesa/logical-problems

Esse repositório é responsável por armazenar soluções de sites de desafios de programação.

Language: Python - Size: 31.3 KB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 1 - Forks: 0

cnguyen-uk/Project-Euler

Completed solutions to the first 100 Project Euler problems (as I complete them).

Language: Python - Size: 215 KB - Last synced at: 7 months ago - Pushed at: 7 months ago - Stars: 0 - Forks: 0

thevilledev/project-euler

My solutions for projecteuler.net

Language: C++ - Size: 133 KB - Last synced at: 5 days ago - Pushed at: about 10 years ago - Stars: 0 - Forks: 0

jsymonowicz/Project-Euler-Solutions

My Python solutions to Project Euler problems in Python (https://projecteuler.net/), showcasing algorithms for mathematical challenges

Language: Jupyter Notebook - Size: 85.9 KB - Last synced at: 8 months ago - Pushed at: 8 months ago - Stars: 0 - Forks: 0

LivInTheLookingGlass/Euler

My solutions to Project Euler problems in multiple languages

Language: Python - Size: 5.91 MB - Last synced at: 8 months ago - Pushed at: 8 months ago - Stars: 1 - Forks: 0

lucwl/project-euler

A collection of my projecteuler.net solutions

Language: Python - Size: 31.3 KB - Last synced at: 2 months ago - Pushed at: 9 months ago - Stars: 1 - Forks: 0

yuvlian/project-euler-rust

The First 100 Project Euler Problems, solved with Rust!

Language: Rust - Size: 63.5 KB - Last synced at: 10 months ago - Pushed at: 10 months ago - Stars: 0 - Forks: 0

RichardMalcharek/projecteuler.net

My Solutions for projecteuler.net

Language: Python - Size: 77.1 KB - Last synced at: 10 months ago - Pushed at: 10 months ago - Stars: 0 - Forks: 0

soheilh/puzzle-solutions

A repository of my solutions to various puzzles and problems.

Language: C++ - Size: 49.8 KB - Last synced at: 10 months ago - Pushed at: 10 months ago - Stars: 0 - Forks: 0

naveenv92/project-euler

My solutions for Project Euler problems – mostly in Python

Language: Python - Size: 224 KB - Last synced at: 10 months ago - Pushed at: about 4 years ago - Stars: 1 - Forks: 0

tfpf/project-euler

My solutions to some Project Euler problems. Emphasis on elegance (where possible) and performance.

Language: Rust - Size: 783 KB - Last synced at: 10 months ago - Pushed at: 10 months ago - Stars: 0 - Forks: 0

mfabruno/HackerRank

My C# solutions for HackerRank problems.

Language: C# - Size: 189 KB - Last synced at: 10 months ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 1

hugomarotta/project-euler

My solutions for Project Euler problems

Language: JavaScript - Size: 1.95 KB - Last synced at: 10 months ago - Pushed at: 10 months ago - Stars: 0 - Forks: 0

INIT-REF/Erlang_Euler

Solvig Project Euler problems with Erlang

Language: Erlang - Size: 964 KB - Last synced at: 3 months ago - Pushed at: 11 months ago - Stars: 1 - Forks: 0

INIT-REF/Futhark_Euler

Solving Project Euler problems with Futhark

Language: Futhark - Size: 34.2 KB - Last synced at: 20 days ago - Pushed at: 11 months ago - Stars: 2 - Forks: 0

INIT-REF/Clojure_Euler

Solving Project Euler problems with Clojure

Language: Clojure - Size: 8.79 KB - Last synced at: 20 days ago - Pushed at: 11 months ago - Stars: 1 - Forks: 0

INIT-REF/COBOL_Euler

Solving Project Euler problems with COBOL

Language: COBOL - Size: 482 KB - Last synced at: 20 days ago - Pushed at: 11 months ago - Stars: 1 - Forks: 0

INIT-REF/ASM_Euler

Solutions to Project Euler problems in Assembly

Language: Assembly - Size: 832 KB - Last synced at: 20 days ago - Pushed at: 11 months ago - Stars: 1 - Forks: 0

codr07/Project-Euler-Solusions

Project euler solutoins using python,java,haskell and mathematica. 500+ codes and 800+ solutions.

Size: 1020 KB - Last synced at: 12 months ago - Pushed at: 12 months ago - Stars: 2 - Forks: 0

jmdha/ProjectEuler

Project Euler Assembly Solutions

Language: Assembly - Size: 31.3 KB - Last synced at: 12 months ago - Pushed at: about 2 years ago - Stars: 0 - Forks: 0

kevinychen/project-euler

Over 700 solutions. All satisfy the 1-minute rule.

Language: Java - Size: 3.91 MB - Last synced at: 12 months ago - Pushed at: 12 months ago - Stars: 0 - Forks: 0

mahmoud-abdalmaksoud/eurler-prject-

here i will publish my own solutions to eurler problems

Size: 1.95 KB - Last synced at: 12 months ago - Pushed at: over 4 years ago - Stars: 0 - Forks: 0

mike182uk/project-euler

My solutions to Project Euler problems

Language: Go - Size: 28.3 KB - Last synced at: about 1 year ago - Pushed at: about 5 years ago - Stars: 1 - Forks: 0

nulligor/project-euler

Project Euler solutions in pure Clojure

Language: Clojure - Size: 64.5 KB - Last synced at: about 1 year ago - Pushed at: about 5 years ago - Stars: 2 - Forks: 0

HarunUYGUC/Bilimsel_Hesaplama

Scientific Calculation with Python

Language: Python - Size: 16.6 KB - Last synced at: 3 days ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

axl-art/Project-Euler-Solutions

Solutions to Project Euler problems, written in FORTRAN 90 and C++.

Language: Fortran - Size: 12.7 KB - Last synced at: about 1 year ago - Pushed at: about 4 years ago - Stars: 0 - Forks: 0

ruiawang/project-euler

solutions and writeups for the Project Euler problems.

Language: Python - Size: 41 KB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

INIT-REF/J_Euler

Solutions to Project Euler Problems in J

Size: 20.5 KB - Last synced at: 20 days ago - Pushed at: about 1 year ago - Stars: 1 - Forks: 0

basnetsoyuj/ProjectEuler

A repository containing solutions to the Project Euler problems. To make them more challenging and general, some of the questions have been tweaked.

Language: Python - Size: 1.18 MB - Last synced at: about 1 year ago - Pushed at: over 3 years ago - Stars: 3 - Forks: 0

INIT-REF/Forth_Euler

Solutions to Project Euler problems in Forth

Language: Forth - Size: 9.77 KB - Last synced at: 20 days ago - Pushed at: about 1 year ago - Stars: 1 - Forks: 0

JustBeYou/Project-Euler-in-Rust

My solutions to some Project Euler using Rust.

Language: Rust - Size: 1.95 KB - Last synced at: about 1 year ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

gianfrancobtl/project-euler-challenge

My solutions to Project Euler problems from FreeCodeCamp.org.

Size: 186 KB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 0 - Forks: 0

MasterKrab/euler-challenge-masterkrab

Solutions to challenges from Project Euler

Language: JavaScript - Size: 13.7 KB - Last synced at: about 1 year ago - Pushed at: about 4 years ago - Stars: 0 - Forks: 0

han190/PE-Fortran

Solutions to Project Euler problems written by modern Fortran

Language: Fortran - Size: 3.2 MB - Last synced at: about 1 year ago - Pushed at: about 1 year ago - Stars: 5 - Forks: 0

ntuifranklin/projecteuler

Language: C++ - Size: 7.81 KB - Last synced at: about 1 year ago - Pushed at: over 6 years ago - Stars: 0 - Forks: 0

xorz57/ProjectEuler

Project Euler Solutions in C++17

Language: C++ - Size: 184 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

uldissturms/exercises

exercises from leetcode and others

Language: JavaScript - Size: 834 KB - Last synced at: about 1 year ago - Pushed at: over 2 years ago - Stars: 12 - Forks: 2

israfilgasim/project-euler

"Project Euler" Solutions

Language: Python - Size: 124 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 1 - Forks: 0

Jetlum/Project-Euler

Solutions of all problems in Go

Language: Go - Size: 30.3 KB - Last synced at: 12 months ago - Pushed at: over 1 year ago - Stars: 1 - Forks: 0

Goku1999/Project-Euler

Language: Java - Size: 26.4 KB - Last synced at: over 1 year ago - Pushed at: about 5 years ago - Stars: 4 - Forks: 0

klimesf/project-euler

Solutions for Project Euler.net in Rust

Language: Rust - Size: 174 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 1 - Forks: 0

mxbrk/Project-Euler-Solution

Documentation of my project euler solutions

Language: Java - Size: 16.6 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

AndreVale69/project-Euler-solutions

Runnable code for solving Project Euler problems in JavaScript

Language: JavaScript - Size: 25.4 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

selcukeskil/Project-Euler-Python-Solutions

You can find Python solutions to the questions on projecteuler.net/archives

Language: Python - Size: 6.84 KB - Last synced at: over 1 year ago - Pushed at: about 3 years ago - Stars: 0 - Forks: 0

Anant-mishra1729/Project-euler-solutions

Starting my Euler journey...

Language: C++ - Size: 5.86 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

m-ignatov/Project-Euler

Solutions to the mathematical problems at the Project Euler website

Language: C++ - Size: 7.38 MB - Last synced at: over 1 year ago - Pushed at: almost 7 years ago - Stars: 1 - Forks: 0

bashforgo/project_euler

Rust solutions for Project Euler. Writes tests automagically. Has GTK submitter.

Language: Rust - Size: 223 KB - Last synced at: over 1 year ago - Pushed at: almost 2 years ago - Stars: 1 - Forks: 0

mraduldubey/project-euler-250

Learnings from the project euler problems. Solutions will be collated here.

Language: Python - Size: 242 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

headshote/ProjectEulerSolutions

C. 2015 C++ implementations of some solutions to Project Euler problems

Language: C++ - Size: 73.2 KB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

tshrwbl/ProjectEuler_solutions

Solution of all problems in projecteuler.net

Language: C - Size: 1.83 MB - Last synced at: almost 2 years ago - Pushed at: almost 5 years ago - Stars: 1 - Forks: 0

verloka/Project-Euler

Project Euler

Language: C# - Size: 83 KB - Last synced at: almost 2 years ago - Pushed at: over 6 years ago - Stars: 1 - Forks: 1

talbii/project-euler-solutions

Solutions for Project Euler, written in C

Language: C - Size: 9.77 KB - Last synced at: almost 2 years ago - Pushed at: almost 4 years ago - Stars: 0 - Forks: 0

formidablae/Project_Euler

Solutions to computational problems of the Project Euler.

Language: Python - Size: 131 KB - Last synced at: about 1 year ago - Pushed at: over 2 years ago - Stars: 10 - Forks: 0

zedinc/project-euler

My attempts at solving Project Euler problems

Language: Perl - Size: 5.86 KB - Last synced at: almost 2 years ago - Pushed at: over 4 years ago - Stars: 0 - Forks: 0

neumann-mlucas/project_euler

Project Euler's code exercises

Language: Julia - Size: 102 KB - Last synced at: about 1 year ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

patricia-ternes/project-euler-python

Environment for testing and share my solutions for the Project Euler's problems.

Language: Jupyter Notebook - Size: 2.63 MB - Last synced at: about 2 years ago - Pushed at: about 2 years ago - Stars: 0 - Forks: 0

mgtezak/Project_Euler

My solutions for Project Euler

Language: Python - Size: 155 KB - Last synced at: about 2 years ago - Pushed at: about 2 years ago - Stars: 0 - Forks: 0

JPy-UwU/Project-Euler

Problems from Project Euler

Language: JavaScript - Size: 0 Bytes - Last synced at: about 2 years ago - Pushed at: about 2 years ago - Stars: 0 - Forks: 0

MattiKemp/Coding-Problem-Solutions

My solutions, analyses, documentation, and notes for Leet Code, Code Forces, Hacker Rank, Project Euler, and CTCI problems for review and studying.

Language: Python - Size: 125 KB - Last synced at: almost 2 years ago - Pushed at: almost 3 years ago - Stars: 1 - Forks: 0

gr3gor1/Project-Euler

Project Euler Problems

Language: JavaScript - Size: 40 KB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 0 - Forks: 0

mandy8055/dataStructuresAndAlgoJava

This repository contains the basic and advanced data structure and algorithms problems. This also contains the problems which I solve daily from various coding platform.

Language: Java - Size: 269 KB - Last synced at: about 1 year ago - Pushed at: over 3 years ago - Stars: 2 - Forks: 1

danish981/project-euler-solutions

this repository is solely created for the coding solutions of project euler challenge problems

Language: PHP - Size: 3.91 KB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

WesleyKaihara/ProjectEuler

Desafios de lógica de programação - Project Euler

Language: JavaScript - Size: 63.5 KB - Last synced at: about 2 years ago - Pushed at: about 2 years ago - Stars: 0 - Forks: 0

theoparashkevov/ProjectEulerAnswers

My Project Euler Answers

Language: C - Size: 52.7 KB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

AmberJBlue/Project-Euler-Solutions

Solutions to Project Euler challenges in multiple languages (mostly Python). This is not a complete list.

Language: Python - Size: 179 KB - Last synced at: about 1 year ago - Pushed at: almost 6 years ago - Stars: 1 - Forks: 0

Psingh12354/Project-Euler

Here i upload my HackerRank Project Euler Code

Size: 83 KB - Last synced at: 4 months ago - Pushed at: over 2 years ago - Stars: 5 - Forks: 0

e1630m/challenges

My solutions to various code challenges

Size: 59.6 KB - Last synced at: over 2 years ago - Pushed at: over 3 years ago - Stars: 2 - Forks: 1

trap-representation/Project-Euler

Solutions to Project Euler problems written in Chlore

Size: 17.6 KB - Last synced at: about 1 year ago - Pushed at: almost 2 years ago - Stars: 0 - Forks: 0

cristiand391/project-euler-solutions 📦

Language: JavaScript - Size: 4.88 KB - Last synced at: 9 days ago - Pushed at: over 5 years ago - Stars: 0 - Forks: 0

marcos-ro/project-euler 📦

My solutions for the problems raised in the euler project

Language: Prolog - Size: 29.3 KB - Last synced at: about 2 years ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

pzuehlke/Project-Euler-Solutions

Solutions in Python 3 to the first 100 problems on Project Euler

Language: Python - Size: 555 KB - Last synced at: 3 months ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

IsmaCortGtz/Project-Euler

Solutions for Project Euler

Language: C++ - Size: 17.6 KB - Last synced at: 4 months ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

anri-Tvalabeishvili/Mathematical-programming-challenges

Mathematical programming challenges

Language: Python - Size: 39 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 1 - Forks: 0

realoksi/euler-rs

My solutions written in Rust for problems on https://projecteuler.net/

Language: Rust - Size: 45.9 KB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 1

Pritz96/ProjectEuler

My solutions to some Project Euler questions written in Go

Language: Go - Size: 12.7 KB - Last synced at: 12 months ago - Pushed at: over 3 years ago - Stars: 0 - Forks: 0

Zachatoo/project-euler

Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems.

Language: JavaScript - Size: 3.12 MB - Last synced at: 3 months ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

erikw/project-euler-solutions

My solutions to problems from https://projecteuler.net/

Language: Java - Size: 2.93 KB - Last synced at: 3 days ago - Pushed at: over 2 years ago - Stars: 0 - Forks: 0

MonitSharma/Project-Euler

Solved Mathematical Problems with Python and mathematical logic

Language: Python - Size: 34.2 KB - Last synced at: over 2 years ago - Pushed at: over 2 years ago - Stars: 1 - Forks: 0

ToeFungi/challenges

Various coding challenges from various different challenge sites

Language: JavaScript - Size: 53.7 KB - Last synced at: over 2 years ago - Pushed at: about 6 years ago - Stars: 2 - Forks: 2

stuaninauts/project-euler-problems

Here I have some solutions for the problems avaliable on the website Project Euler. The solutions are written in Python and the problems are available on: https://projecteuler.net/archives

Language: Python - Size: 13.7 KB - Last synced at: about 2 years ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

Aditeya/maus_project_euler

My Solutions to Project Euler Problems in Rust

Language: Rust - Size: 76.2 KB - Last synced at: about 2 years ago - Pushed at: almost 3 years ago - Stars: 0 - Forks: 0

Related Keywords
project-euler-solutions 162 project-euler 118 python 28 project-euler-python-solutions 27 euler 15 euler-solutions 14 algorithms 12 projecteuler 11 mathematics 11 python3 10 java 9 math 9 euler-project 8 project-euler-c-solutions 7 rust 7 hackerrank 7 cpp 7 hackerrank-solutions 6 project-euler-java-solutions 6 leetcode-solutions 6 javascript 5 project-euler-rust-solutions 5 projecteuler-solutions 5 project-euler-cpp-solutions 5 solutions 5 haskell 5 project-euler-go-solutions 5 maths 5 project 4 challenge 4 project-euler-plus 3 rust-lang 3 number-theory 3 data-structures 3 problem-solving 3 c-plus-plus 3 golang 3 project-euler-javascript 3 ruby 2 hackerrank-python 2 c 2 daily-coding-problem-solutions 2 assembly 2 coding-challenge 2 clojure 2 project-euler-go 2 github-actions 2 programming 2 programming-challenges 2 prime-numbers 2 project-euler-javascript-solutions 2 codewars-solutions 2 go 2 leetcode 2 mit-license 2 codeforces-solutions 2 algorithm-challenges 2 challenges 2 hacker-rank-solutions 2 project-euler-cpp 2 cplusplus 2 cpp20 2 fortran 2 coding-challenges 2 c-programming 1 project-euler-experiments 1 programming-exercises 1 jupyter-book 1 solution 1 all 1 pytohn3 1 euler-solutions-cpp 1 binary-search-solutions 1 problems 1 100daysofcode 1 julia 1 codejam-solutions 1 computational-problems 1 code-forces-solutions 1 daily-coding-problem 1 practice 1 self-learning 1 php8 1 php 1 coding 1 java-8 1 pepcoding-solutions 1 improving 1 leetcode-java 1 intellij-idea 1 coding-bat 1 leet-code-solutions 1 training 1 critical-thinking 1 jupyter 1 jupyter-notebook 1 out-of-the-box 1 dart 1 dartlang 1 project-euler-dart-solutions 1