This commit is contained in:
Vitor Oliveira 2021-02-06 23:05:54 -08:00
parent 3bde29dd55
commit e21120857d
34 changed files with 344 additions and 348 deletions

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@ -3,46 +3,40 @@
# Time Complexity: O(√n)
def jump_search(arr, x)
n = arr.length;
n = arr.length
# Finding block size to be jumped
step = Math.sqrt(n);
prev = 0;
step = Math.sqrt(n)
prev = 0
# Finding the block where element is
# present (if it is present)
while (arr[[step, n].min - 1] < x) do
prev = step;
step += Math.sqrt(n);
if (prev >= n)
return -1;
end
while arr[[step, n].min - 1] < x
prev = step
step += Math.sqrt(n)
return -1 if prev >= n
end
# Doing a linear search for x in block
# beginning with prev.
while (arr[prev] < x) do
prev = prev + 1;
while arr[prev] < x
prev += 1
# If we reached next block or end of
# array, element is not present.
if (prev == [step, n].min)
return -1;
end
return -1 if prev == [step, n].min
end
# If element is found
if (arr[prev] == x)
return prev;
end
return prev if arr[prev] == x
return -1;
-1
end
puts "Enter a sorted space-separated list:"
puts 'Enter a sorted space-separated list:'
arr = gets.chomp.split(' ').map(&:to_i)
puts "Enter the value to be searched:"
puts 'Enter the value to be searched:'
value = gets.chomp.to_i
index = jump_search(arr, value)
puts index == -1 ? "Element not found" : "Number #{value} is at #{index}"
puts index == -1 ? 'Element not found' : "Number #{value} is at #{index}"

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@ -1,64 +1,65 @@
require'openssl';
require 'openssl'
class MerkleHellman
SMALLEST_KNAPSACK_ITEM = 2**32
STEP = 2**32
def initialize size
@size = size;
sum = SMALLEST_KNAPSACK_ITEM;
@easy_knapsack = size.times.map do |k|
x = sum + rand(STEP);
sum += x;
x;
def initialize(size)
@size = size
sum = SMALLEST_KNAPSACK_ITEM
@easy_knapsack = size.times.map do |_k|
x = sum + rand(STEP)
sum += x
x
end
@n = sum + rand(STEP);
@n = sum + rand(STEP)
loop do
@a = rand(0..@n);
break if @a.gcd(@n) == 1;
@a = rand(0..@n)
break if @a.gcd(@n) == 1
end
@hard_knapsack = @easy_knapsack.map do |x|
(@a * x) % @n;
(@a * x) % @n
end
end
def encrypt msg
raise ArgumentError, "max length is #{@size/8} characters" if msg.length * 8 > @size;
c = 0;
msg.each_codepoint.reverse_each.with_index do |ch,i|
7.downto(0) do|j|
wj = ch.>>(j).& 1;
c += wj * @hard_knapsack[i*8+7-j]
def encrypt(msg)
raise ArgumentError, "max length is #{@size / 8} characters" if msg.length * 8 > @size
c = 0
msg.each_codepoint.reverse_each.with_index do |ch, i|
7.downto(0) do |j|
wj = ch.>>(j).& 1
c += wj * @hard_knapsack[i * 8 + 7 - j]
end
end
c;
c
end
def decrypt c
p = @a.to_bn.mod_inverse(@n).mod_mul(c,@n).to_i;
byte = 0;
msg = [ ];
@easy_knapsack.reverse_each.with_index do |x,i|
bit = 0;
def decrypt(c)
p = @a.to_bn.mod_inverse(@n).mod_mul(c, @n).to_i
byte = 0
msg = []
@easy_knapsack.reverse_each.with_index do |x, i|
bit = 0
if p >= x
p -= x;
bit = 1;
p -= x
bit = 1
end
byte |= (bit << (i%8));
byte |= (bit << (i % 8))
if i % 8 == 7
msg << byte.chr;
byte = 0;
msg << byte.chr
byte = 0
end
end
msg.join;
msg.join
end
attr_accessor :hard_knapsack;
attr_accessor :hard_knapsack
end
str = "Hello there, this is my plaintext";
mh = MerkleHellman.new(str.length*8)
str = 'Hello there, this is my plaintext'
mh = MerkleHellman.new(str.length * 8)
puts "[*] Encrypting \"#{str}\""
c = mh.encrypt(str)

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@ -11,11 +11,9 @@
def calculate_products_of_all_other_elements(nums)
product_of_other_elements = Array.new(nums.length, 1)
nums.each_with_index do |num1, i|
nums.each_with_index do |_num1, i|
nums.each_with_index do |num2, j|
if (i != j)
product_of_other_elements[i] = product_of_other_elements[i] * num2
end
product_of_other_elements[i] = product_of_other_elements[i] * num2 if i != j
end
end
@ -34,14 +32,14 @@ def build_prefix_products(nums)
prefix_products = []
nums.each do |num|
if prefix_products.count > 0
prefix_products << (prefix_products.last * num)
else
prefix_products << num
end
prefix_products << if prefix_products.count > 0
(prefix_products.last * num)
else
num
end
end
return prefix_products
prefix_products
end
# Generates suffix products
@ -49,31 +47,31 @@ def build_suffix_products(nums)
suffix_products = []
nums.reverse.each do |num|
if suffix_products.count > 0
suffix_products << (suffix_products.last * num)
else
suffix_products << num
end
suffix_products << if suffix_products.count > 0
(suffix_products.last * num)
else
num
end
end
return suffix_products
suffix_products
end
# Builds output
def output(prefix_products, suffix_products, nums)
result = []
nums.reverse.each_with_index do |num, index|
if index == 0
result << suffix_products[index + 1]
elsif index == nums.length - 1
result << prefix_products[index - 1]
else
result << (prefix_products[index - 1] * suffix_products[index + 1])
end
nums.reverse.each_with_index do |_num, index|
result << if index == 0
suffix_products[index + 1]
elsif index == nums.length - 1
prefix_products[index - 1]
else
(prefix_products[index - 1] * suffix_products[index + 1])
end
end
return result
result
end
# Generate result from the product of prefixes and suffixes
@ -82,7 +80,7 @@ def products(nums)
suffix_products = build_suffix_products(nums)
suffix_products = suffix_products.reverse
return output(prefix_products, suffix_products, nums)
output(prefix_products, suffix_products, nums)
end
puts(products([1, 2, 3]))

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@ -12,12 +12,12 @@
def inorder_traversal(root)
ans = []
def traverse(node, ans)
if node != nil
unless node.nil?
traverse(node.left, ans)
ans.push(node.val)
traverse(node.right, ans)
end
end
traverse(root, ans)
return ans
ans
end

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@ -10,11 +10,10 @@
# @param {TreeNode} root
# @return {TreeNode}
def invert_tree(root)
if root == nil
return nil
end
return nil if root.nil?
temp = root.left
root.left = invert_tree(root.right)
root.right = invert_tree(temp)
return root
root
end

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@ -12,12 +12,12 @@
def postorder_traversal(root)
ans = []
def traverse(node, ans)
if node != nil
unless node.nil?
traverse(node.left, ans)
traverse(node.right, ans)
ans.push(node.val)
end
end
traverse(root, ans)
return ans
ans
end

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@ -12,12 +12,12 @@
def preorder_traversal(root)
ans = []
def traverse(node, ans)
if node != nil
unless node.nil?
ans.push(node.val)
traverse(node.left, ans)
traverse(node.right, ans)
end
end
traverse(root, ans)
return ans
ans
end

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@ -1,6 +1,7 @@
# Define a node in the list
class Node
attr_accessor :value, :next, :prev
def initialize(value)
@value = value
@next = nil
@ -12,6 +13,7 @@ end
class DoubleList
include Enumerable
attr_accessor :head, :tail
def initialize
@head = nil
@tail = nil
@ -67,7 +69,7 @@ class DoubleList
def print_list
# the to_a method is from Enumerable, will call each to get the values, and return an array
puts '[' + self.to_a.join(', ') + ']'
puts '[' + to_a.join(', ') + ']'
end
def empty?

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@ -1,6 +1,7 @@
# Define a node in the list
class Node
attr_accessor :value, :next
def initialize(value)
@value = value
@next = nil
@ -12,6 +13,7 @@ end
class SingleList
include Enumerable
attr_accessor :head
def initialize
@head = nil
end
@ -48,7 +50,7 @@ class SingleList
end
def print_list
puts '[' + self.to_a.join(', ') + ']'
puts '[' + to_a.join(', ') + ']'
end
def delete_head

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@ -1,4 +1,4 @@
#https://en.wikipedia.org/wiki/Euclidean_algorithm
# https://en.wikipedia.org/wiki/Euclidean_algorithm
def euclidean_gcd(a, b)
while b != 0
@ -6,9 +6,9 @@ def euclidean_gcd(a, b)
b = a % b
a = t
end
return a
a
end
puts "GCD(3, 5) = " + euclidean_gcd(3, 5).to_s
puts "GCD(3, 6) = " + euclidean_gcd(3, 6).to_s
puts "GCD(6, 3) = " + euclidean_gcd(6, 3).to_s
puts 'GCD(3, 5) = ' + euclidean_gcd(3, 5).to_s
puts 'GCD(3, 6) = ' + euclidean_gcd(3, 6).to_s
puts 'GCD(6, 3) = ' + euclidean_gcd(6, 3).to_s

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@ -1,31 +1,30 @@
# https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm
def extended_euclidean_gcd(a, b)
x0, x1 = a, b
s, t = 1, 0
x0 = a
x1 = b
s = 1
t = 0
until x1.zero?
q, x2 = x0.divmod(x1)
x0, x1 = x1, x2
x0 = x1
x1 = x2
s, t = t, s - q * t
end
gcd = x0
return gcd
x0
end
puts "GCD(3, 5) = " + extended_euclidean_gcd(3, 5).to_s
puts 'GCD(3, 5) = ' + extended_euclidean_gcd(3, 5).to_s
# GCD(3, 5) = 1
puts "GCD(3, 6) = " + extended_euclidean_gcd(3, 6).to_s
puts 'GCD(3, 6) = ' + extended_euclidean_gcd(3, 6).to_s
# GCD(3, 6) = 3
puts "GCD(6, 3) = " + extended_euclidean_gcd(6, 3).to_s
puts 'GCD(6, 3) = ' + extended_euclidean_gcd(6, 3).to_s
# GCD(6, 3) = 3
=begin
Dynamic driver code:
a = gets.to_i
b = gets.to_i
puts "GCD (#{a}, #{b} ) = #{extended_euclidean_gcd(a, b)}"
=end
#
# Dynamic driver code:
#
# a = gets.to_i
# b = gets.to_i
# puts "GCD (#{a}, #{b} ) = #{extended_euclidean_gcd(a, b)}"
#

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@ -1,23 +1,23 @@
# LCM (Least Common Multiple) of two numbers is the smallest number which can be divided by both numbers.
p "Least Common Multiple"
p 'Least Common Multiple'
p "Enter first number"
p 'Enter first number'
value_one = gets.chomp.to_i
p "Enter second number"
p 'Enter second number'
value_two = gets.chomp.to_i
def gcd(first, second)
if second != 0
gcd(second, first%second)
gcd(second, first % second)
else
first
end
end
def lcm(first, second)
(first * second)/gcd(first, second)
(first * second) / gcd(first, second)
end
p "Least Common Multiple is: #{lcm(value_one, value_two)}"

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@ -1,26 +1,24 @@
=begin
For any binary number of n digits i.e dn-1 ... d3 d2 d1 d0
The equivalent decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
decimal = d0×2^0 + d1×2^1 + d2×2^2 + ...
=end
#
# For any binary number of n digits i.e dn-1 ... d3 d2 d1 d0
# The equivalent decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
# decimal = d0×2^0 + d1×2^1 + d2×2^2 + ...
#
def binary_to_decimal(n)
decimal = 0
base = 1
until n.zero?
x = n % 10
n /= 10
decimal += x * base
base *= 2
end
return decimal
decimal = 0
base = 1
until n.zero?
x = n % 10
n /= 10
decimal += x * base
base *= 2
end
decimal
end
puts "Decimal value of 110011 is " + binary_to_decimal(110011).to_s
puts 'Decimal value of 110011 is ' + binary_to_decimal(110_011).to_s
# Decimal value of 110011 is 51
puts "Decimal value of 11110 is " + binary_to_decimal(11110).to_s
puts 'Decimal value of 11110 is ' + binary_to_decimal(11_110).to_s
# Decimal value of 11110 is 30
puts "Decimal value of 101 is " + binary_to_decimal(101).to_s
puts 'Decimal value of 101 is ' + binary_to_decimal(101).to_s
# Decimal value of 101 is 5

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@ -1,24 +1,22 @@
# Given a number, find number of digits in it.
def count_digits(n)
count = 0
temp = n
count = 0
temp = n
if (n == 0)
return 1
end
return 1 if n == 0
until temp.zero?
count += 1
temp /= 10
end
until temp.zero?
count += 1
temp /= 10
end
return count
count
end
puts "Number of digits in 8732 is " + count_digits(8732).to_s
puts 'Number of digits in 8732 is ' + count_digits(8732).to_s
# Number of digits in 8732 is 4
puts "Number of digits in 112233 is " + count_digits(112233).to_s
puts 'Number of digits in 112233 is ' + count_digits(112_233).to_s
# Number of digits in 112233 is 6
puts "Number of digits in 0 is " + count_digits(0).to_s
puts 'Number of digits in 0 is ' + count_digits(0).to_s
# Number of digits in 0 is 1

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@ -1,18 +1,19 @@
# Given a number, find sum of its digits.
def digits_sum(n)
a, sum = 0, 0
a = 0
sum = 0
until n.zero?
a = n % 10
sum += a
n /= 10
end
return sum
sum
end
puts "Sum of digits of 3456 is " + digits_sum(3456).to_s
puts 'Sum of digits of 3456 is ' + digits_sum(3456).to_s
# Sum of digits of 3456 is 18
puts "Sum of digits of 1234 is " + digits_sum(1234).to_s
puts 'Sum of digits of 1234 is ' + digits_sum(1234).to_s
# Sum of digits of 1234 is 10
puts "Sum of digits of 9251321 is " + digits_sum(9251321).to_s
puts 'Sum of digits of 9251321 is ' + digits_sum(9_251_321).to_s
# Sum of digits of 9251321 is 23

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@ -2,10 +2,10 @@
def fisher_yates_shuffle(array)
n = array.length
while n > 0
i = rand(n-=1)
i = rand(n -= 1)
array[i], array[n] = array[n], array[i]
end
return array
array
end
arr = [1, 2, 40, 30, 20, 15, 323, 12, 3, 4]

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@ -8,7 +8,7 @@ even_fib_sum = 0
fib_first = 1
fib_second = 2
while fib_second < 4000000
while fib_second < 4_000_000
even_fib_sum += fib_second if fib_second.even?
fib_second += fib_first
fib_first = fib_second - fib_first

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@ -26,4 +26,4 @@ def largest_prime_factor(number)
prime_factors.max
end
puts largest_prime_factor(600851475143)
puts largest_prime_factor(600_851_475_143)

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@ -15,4 +15,4 @@ def solution(n)
prime.to_i
end
puts solution(600851475143)
puts solution(600_851_475_143)

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@ -3,7 +3,6 @@
# What is the smallest positive number that is evenly
# divisible by all of the numbers from 1 to 20?
# Euclid's algorithm for the greatest common divisor
def gcd(a, b)
b.zero? ? a : gcd(b, a % b)

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@ -1,15 +1,17 @@
=begin
Searches through a list for a value in O(log(n)) time.
The list must be sorted.
=end
# Searches through a list for a value in O(log(n)) time.
# The list must be sorted.
def binary_search(array, key)
front = 0
back = array.length - 1
while front <= back
middle = (front + back) / 2
return middle if array[middle] == key
key < array[middle] ?
back = middle - 1 : front = middle + 1
if key < array[middle]
back = middle - 1
else
front = middle + 1
end
end
nil
end
@ -18,6 +20,8 @@ puts "Enter a sorted space-separated list:"
arr = gets.chomp.split(' ').map(&:to_i)
puts "Enter the value to be searched:"
value = gets.chomp.to_i
puts binary_search(arr, value) != nil ?
"Found at index #{binary_search(arr, value)}" :
puts if binary_search(arr, value) != nil
"Found at index #{binary_search(arr, value)}"
else
"Not found"
end

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@ -8,6 +8,7 @@ def dfs(start, target, adjacency_list)
stack = [start]
loop do
break if stack.empty?
current_node = stack.pop
is_visited[current_node] = true
@ -15,6 +16,7 @@ def dfs(start, target, adjacency_list)
adjacency_list[current_node].each do |neighbor|
next if is_visited[neighbor]
stack << neighbor
is_visited[neighbor] = true
parent[neighbor] = current_node
@ -38,12 +40,12 @@ end
def main
adjacency_list = [
[1, 2], #0
[0, 3], #1
[0, 3], #2
[1, 2, 4], #3
[3, 5], #4
[4] #5
[1, 2], # 0
[0, 3], # 1
[0, 3], # 2
[1, 2, 4], # 3
[3, 5], # 4
[4] # 5
]
p dfs(0, 5, adjacency_list)
end

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@ -1,18 +1,18 @@
=begin
Looks through array for a value in O(n) time.
Array does not need to be sorted.
=end
# Looks through array for a value in O(n) time.
# Array does not need to be sorted.
def linear_search(array, key)
array.each_with_index do |current, index|
return index if current == key
end
return nil
nil
end
puts "Enter a space-separated list:"
arr = gets.chomp.split(' ').map(&:to_i)
puts "Enter a value to be searched:"
key = gets.chomp.to_i
puts linear_search(arr, key) != nil ?
"Found at index #{linear_search(arr, key)}" :
puts if linear_search(arr, key) != nil
"Found at index #{linear_search(arr, key)}"
else
"Not found"
end

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@ -1,43 +1,43 @@
=begin
Ternary Search
-------------------------------
Ternary search is a searching technique that is used to search the position of a specific value in an array.
Ternary search is a divide-and-conquer algorithm.
It is mandatory for the array to be sorted (in which you will search for an element).
The array is divided into three parts and then we determine in which part the element exists.
In this search, after each iteration it neglects 1/3 part of the array and repeats the same operations on the remaining .
Time Complexity: O(log3 n)
Space Complexity: O(1)
=end
# Ternary Search
# -------------------------------
# Ternary search is a searching technique that is used to search the position of a specific value in an array.
# Ternary search is a divide-and-conquer algorithm.
# It is mandatory for the array to be sorted (in which you will search for an element).
# The array is divided into three parts and then we determine in which part the element exists.
# In this search, after each iteration it neglects 1/3 part of the array and repeats the same operations on the remaining ⅔.
# Time Complexity: O(log3 n)
# Space Complexity: O(1)
def ternary_search(l, r, key, arr)
#l is the starting index and r is the ending index of the array/sub-array.
if (r >= l)
#find mid1 and mid2
mid1 = l + (r - l) / 3
mid2 = r - (r - l) / 3
#check if key is equal to mid1
if arr[mid1] == key
mid1
#check if key is equal to mid2
elsif arr[mid2] == key
mid2
#Since key is not present at mid, check in which region it is present
#then repeat the Search operation in that region
elsif key < arr[mid1]
ternary_search(l, mid1 - 1, key, arr)
elsif (key > arr[mid2])
ternary_search(mid2 + 1, r, key, arr)
else
ternary_search(mid1 + 1, mid2 - 1, key, arr)
end
end
# l is the starting index and r is the ending index of the array/sub-array.
if r >= l
# find mid1 and mid2
mid1 = l + (r - l) / 3
mid2 = r - (r - l) / 3
# check if key is equal to mid1
if arr[mid1] == key
mid1
# check if key is equal to mid2
elsif arr[mid2] == key
mid2
# Since key is not present at mid, check in which region it is present
# then repeat the Search operation in that region
elsif key < arr[mid1]
ternary_search(l, mid1 - 1, key, arr)
elsif key > arr[mid2]
ternary_search(mid2 + 1, r, key, arr)
else
ternary_search(mid1 + 1, mid2 - 1, key, arr)
end
end
end
puts "Enter a space-separated list:"
arr = gets.chomp.split(' ').map(&:to_i)
puts "Enter a value to be searched:"
key = gets.chomp.to_i
puts ternary_search(0, arr.length - 1, key, arr) != nil ?
"Found at index #{ternary_search(0, arr.length - 1, key, arr)}" :
puts if ternary_search(0, arr.length - 1, key, arr) != nil
"Found at index #{ternary_search(0, arr.length - 1, key, arr)}"
else
"Not found"
end

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@ -1,20 +1,21 @@
class Array
def sorted?
### goes thru array and checks if all elements are in order
for i in 1...self.length
return false if self[i-1] > self[i]
(1...length).each do |i|
return false if self[i - 1] > self[i]
end
return true
true
end
def bogosort
### randomly shuffles until sorted
self.shuffle! until self.sorted?
return self #return sorted array
shuffle! until sorted?
self # return sorted array
end
end
if $0 == __FILE__
puts "Enter a list of numbers separated by space"
puts 'Enter a list of numbers separated by space'
str = gets.chomp.split('')
puts str.bogosort.join('')
end

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@ -3,19 +3,19 @@ def bubble_sort(array)
loop do
swapped = false
(n-1).times do |i|
if array[i] > array[i+1]
array[i], array[i+1] = array[i+1], array[i]
(n - 1).times do |i|
if array[i] > array[i + 1]
array[i], array[i + 1] = array[i + 1], array[i]
swapped = true
end
end
break if not swapped
break unless swapped
end
array
end
puts "Enter a list of numbers separated by space"
puts 'Enter a list of numbers separated by space'
list = gets
bubble_sort(list)

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@ -1,4 +1,3 @@
DEFAULT_BUCKET_SIZE = 5
def bucket_sort(input, bucket_size = DEFAULT_BUCKET_SIZE)
@ -24,7 +23,7 @@ def bucket_sort(input, bucket_size = DEFAULT_BUCKET_SIZE)
buckets.flatten.join(' ')
end
puts "Enter a list of numbers separated by space"
puts 'Enter a list of numbers separated by space'
list = gets
print bucket_sort(list)

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@ -14,18 +14,19 @@ def heap_sort(array)
adjusted_array.drop(1)
end
#Method to adjust heap in downward manner
# Method to adjust heap in downward manner
def adjusted_down(adjusted_array, parent, limit)
top = adjusted_array[parent]
while (child = 2 * parent) <= limit
child += 1 if child < limit and adjusted_array[child] < adjusted_array[child + 1]
break if top >= adjusted_array[child]
child += 1 if (child < limit) && (adjusted_array[child] < adjusted_array[child + 1])
break if top >= adjusted_array[child]
adjusted_array[parent] = adjusted_array[child]
parent = child
end
adjusted_array[parent] = top
end
#Code for testing heapsort
# Code for testing heapsort
array = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15].shuffle
print heap_sort(array)

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@ -10,7 +10,7 @@ def insertion_sort(array)
end
array
end
puts "Enter a list of numbers separated by space"
puts 'Enter a list of numbers separated by space'
list = gets
insertion_sort(list)

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@ -1,5 +1,6 @@
def merge_sort(array)
return array if array.length <= 1
mid = array.length / 2
first_array = array.slice(0..mid - 1)
second_array = array.slice(mid..-1)
@ -9,7 +10,7 @@ def merge_sort(array)
# merge
result = []
until first_array.empty? and second_array.empty?
until first_array.empty? && second_array.empty?
if first_array.empty?
result.concat(second_array)
second_array.clear
@ -17,16 +18,16 @@ def merge_sort(array)
result.concat(first_array)
first_array.clear
else
if first_array.first < second_array.first
result << first_array.shift
else
result << second_array.shift
end
result << if first_array.first < second_array.first
first_array.shift
else
second_array.shift
end
end
end
result
end
puts "Enter a list of numbers separated by space"
puts 'Enter a list of numbers separated by space'
list = gets
print merge_sort list.split(" ").map(&:to_i)
print merge_sort list.split(' ').map(&:to_i)

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@ -8,7 +8,7 @@ def quicksort(arr)
left, right = arr.partition(&pivot.method(:>))
# recursively calling the quicksort method on itself
return *quicksort(left), pivot, *quicksort(right)
[*quicksort(left), pivot, *quicksort(right)]
end
arr = [34, 2, 1, 5, 3]

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@ -13,6 +13,6 @@ def selection_sort(array)
end
end
arr = ([9,8,3,1,2,55,68,48].shuffle) #We have taken a rondom example and also shuffling it
arr = [9, 8, 3, 1, 2, 55, 68, 48].shuffle # We have taken a rondom example and also shuffling it
selection_sort(arr)
puts "Sorted array is: #{arr.inspect}"

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@ -1,27 +1,24 @@
def shell_sort(a)
n=a.length
h=1
n = a.length
h = 1
while (h<n/3) #for computing increment factor "h"
h= (3*h)+1
end
h = (3 * h) + 1 while h < n / 3
while h>=1
while h >= 1
# Logic of insertion sort with inrement steps of "h"
for i in h...n
j=i
while j>=h
if a[j-h]>a[j]
temp=a[j]
a[j]=a[j-h]
a[j-h]=temp
(h...n).each do |i|
j = i
while j >= h
if a[j - h] > a[j]
temp = a[j]
a[j] = a[j - h]
a[j - h] = temp
end
j-=h
j -= h
end
end
h/=3
h /= 3
end
return a
a
end