commit 6947402ff46e7c064c6836c9d40445ffab766edd
Author: Evan Hemsley <evan.hemsley@gmail.com>
Date:   Fri Apr 25 16:59:14 2014 -0700

    initial commit

diff --git a/euler002.rb b/euler002.rb
new file mode 100644
index 0000000..c4f1253
--- /dev/null
+++ b/euler002.rb
@@ -0,0 +1,30 @@
+def fibonacci(n)
+  fibTable = []
+  if (n == 0) or (n == 1)
+    return 1
+  else
+    if fibTable.at(n-1) == nil
+      fibTable.insert(n-1, fibonacci(n-1))
+      fib1 = fibTable.at(n-1)
+    else
+      fib1 = fibTable.at(n-1)
+    end
+    if fibTable.at(n-2) == nil
+      fibTable.insert(n-2, fibonacci(n-2))
+      fib2 = fibTable.at(n-2)
+    else
+      fib2 = fibTable.at(n-2)
+    end
+    return fib1 + fib2
+  end
+end
+
+sum = 0
+for i in 1..32
+  fib = fibonacci(i)
+  if (fib%2) == 0
+    sum += fib
+  end
+end
+
+puts sum
diff --git a/euler003.rb b/euler003.rb
new file mode 100644
index 0000000..51ac37f
--- /dev/null
+++ b/euler003.rb
@@ -0,0 +1,38 @@
+def sieve(n) 
+  eSieve = (2..n).to_a
+  i = 0
+  pbar = ProgressBar.new("sieving", n)
+  while i < Math.sqrt(n)
+    j = i + 1
+    while (j < eSieve.length)
+      if (eSieve[j] > (i ** 2)) and ((eSieve[j] % eSieve[i]) == 0)
+        eSieve.delete_at j
+        pbar.inc
+      end
+      j += 1
+    end
+    i += 1
+    pbar.set(i + (n-eSieve.length))
+  end
+  pbar.finish
+  eSieve
+end
+
+eSieve = sieve(600851475143)
+
+def isPrime(n)
+  eSieve.contains(n)
+end
+
+puts isPrime(7)
+
+factors = []
+for i in 1..600851475143
+  if (600851475143 % i) == 0
+    if isPrime(600851475143 % i)
+      factors << i
+    end
+  end
+end
+
+
diff --git a/euler004.rb b/euler004.rb
new file mode 100644
index 0000000..2f5c345
--- /dev/null
+++ b/euler004.rb
@@ -0,0 +1,28 @@
+def isPalindrome(n)
+  numString = n.to_s
+  for i in 0..(numString.length-1)/2
+    if !(numString[i] == numString[numString.length-1-i])
+      return false
+    end
+  end
+  return true
+end
+
+def productsOfThreeDigits
+  products = []
+  for i in 100..999
+    for j in 100..999
+      products << i*j
+    end
+  end
+  products
+end
+
+palindromes = []
+for i in productsOfThreeDigits
+  if isPalindrome(i)
+    palindromes << i
+  end
+end
+
+puts palindromes.sort
diff --git a/euler005.rb b/euler005.rb
new file mode 100644
index 0000000..f556e06
--- /dev/null
+++ b/euler005.rb
@@ -0,0 +1,22 @@
+def multipleUpTo20
+  divisible = nil
+  i = 2
+  while !divisible
+    numFound = true
+    puts "checking #{i}"
+    for j in (2..20)
+      if !(i % j == 0)
+        numFound = false
+      end
+    end
+    if numFound
+      return i
+    end
+    i += 1
+  end
+end
+
+puts multipleUpTo20
+
+
+2*3*2*5*7*2*3*11*13*2*17*19
diff --git a/euler006.rb b/euler006.rb
new file mode 100644
index 0000000..9a89118
--- /dev/null
+++ b/euler006.rb
@@ -0,0 +1,20 @@
+def sumSquared(n)
+  (1..n).inject(:+) ** 2
+end
+
+def squareSums(n)
+  sum = 0
+  for i in 1..n
+    sum += i ** 2
+  end
+  sum
+end
+
+def difference(n)
+  sumSquared(n) - squareSums(n)
+end
+
+puts squareSums(10)
+puts sumSquared(10)
+
+puts difference(100)
diff --git a/euler007.rb b/euler007.rb
new file mode 100644
index 0000000..bd9c019
--- /dev/null
+++ b/euler007.rb
@@ -0,0 +1,33 @@
+require 'progressbar'
+
+def increasingSieve(size)
+  startingSize = 10
+  eSieve = []
+  while eSieve.length < size
+    eSieve = sieve(startingSize)
+    startingSize *= 2
+  end
+  eSieve
+end
+
+def sieve(n) 
+  eSieve = (2..n).to_a
+  i = 0
+  pbar = ProgressBar.new("sieving", n)
+  while i < Math.sqrt(n)
+    j = i + 1
+    while (j < eSieve.length)
+      if (eSieve[j] > (i ** 2)) and ((eSieve[j] % eSieve[i]) == 0)
+        eSieve.delete_at j
+        pbar.inc
+      end
+      j += 1
+    end
+    i += 1
+    pbar.set(i + (n-eSieve.length))
+  end
+  pbar.finish
+  eSieve
+end
+
+puts increasingSieve(10001)[10000]
diff --git a/euler008.rb b/euler008.rb
new file mode 100644
index 0000000..edb3da0
--- /dev/null
+++ b/euler008.rb
@@ -0,0 +1,26 @@
+def consecutive_lists(num)
+  list_of_sub_lists = []
+  digit_list = num.to_s.split("")
+  start_index = 0
+  end_index = 4
+  while end_index < digit_list.size
+    list_of_sub_lists << digit_list[start_index..end_index].map(&:to_i)
+    start_index += 1
+    end_index += 1
+  end
+  list_of_sub_lists
+end
+
+def consecutive_products(num)
+  product_list = []
+  consecutive_lists(num).each do |list|
+    product_list << list.inject(:*)
+  end
+  product_list
+end
+
+def largest_consecutive_product(num)
+  consecutive_products(num).max
+end
+
+puts largest_consecutive_product(7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450)
diff --git a/euler009.rb b/euler009.rb
new file mode 100644
index 0000000..9d6e0a6
--- /dev/null
+++ b/euler009.rb
@@ -0,0 +1,30 @@
+def generate_pythagorean_triples(upper_bound)
+  list_of_triples = []
+  a = 2
+  b = 3
+  while a < upper_bound
+    b = a + 1
+    while b < upper_bound
+      c = Math.sqrt(a**2 + b**2)
+      list_of_triples << [a, b, c.to_i] if c % 1 == 0 #this is a check that the sqrt is an integer
+      b += 1
+    end
+    a += 1
+  end
+  list_of_triples
+end
+
+def sums_of_triples(list_of_triples)
+  hash_of_sums = {}
+  list_of_triples.each do |triple|
+    hash_of_sums[triple] = triple.inject(:+)
+  end
+  hash_of_sums
+end
+
+def find_pythagorean_sum(upper_bound, sum_to_match)
+  hash_of_sums = sums_of_triples(generate_pythagorean_triples(upper_bound))
+  hash_of_sums.detect { |key, value| value == sum_to_match }
+end
+
+puts find_pythagorean_sum(500, 1000).first.inject(:*)
diff --git a/euler010.rb b/euler010.rb
new file mode 100644
index 0000000..0771303
--- /dev/null
+++ b/euler010.rb
@@ -0,0 +1,11 @@
+#an implementation of the sieve of Eratosthenes
+def improved_sieve(n)
+  eSieve = (2..n).to_a
+  (2..Math.sqrt(n)).each do |i|
+    next unless eSieve[i]
+    (i*i).step(n, i) { |j| eSieve[j] = nil } #steps by increments of i up to n starting at i*i and sets those elements to nil, marking them for removal
+  end
+  eSieve.compact
+end
+
+puts improved_sieve(2000000).inject(:+)
diff --git a/euler011.rb b/euler011.rb
new file mode 100644
index 0000000..63549e3
--- /dev/null
+++ b/euler011.rb
@@ -0,0 +1,126 @@
+require 'matrix'
+
+def matrix_horizontal_consecutive(matrix)
+  across_lists = []
+  (0..matrix.row_count-1).each do |row_num|
+    across_lists += consecutive_across_lists(matrix.row(row_num))
+  end
+  across_lists
+end
+
+def consecutive_across_lists(list)
+  list_of_sub_lists = []
+  start_index = 0
+  end_index = 3
+  while end_index < list.size
+    list_of_sub_lists << list[start_index..end_index]
+    start_index += 1
+    end_index += 1
+  end
+  list_of_sub_lists
+end
+
+def matrix_vertical_consecutive(matrix)
+  transpose = matrix.transpose
+  matrix_horizontal_consecutive(transpose)
+end
+
+#right top to bottom
+def right_diagonal_consecutive(matrix)
+  diagonals = []
+  i_0 = 0
+  j_0 = 0
+  i_1 = 1
+  j_1 = 1
+  i_2 = 2
+  j_2 = 2
+  i_3 = 3
+  j_3 = 3
+  while i_0 < matrix.row_count - 3
+    while j_0 < matrix.column_count - 3
+      diagonals << [matrix[i_0,j_0], matrix[i_1, j_1], matrix[i_2, j_2], matrix[i_3, j_3]]
+      j_0 += 1
+      j_1 += 1
+      j_2 += 1
+      j_3 += 1
+    end
+    j_0 = 0
+    j_1 = 1
+    j_2 = 2
+    j_3 = 3
+    i_0 += 1
+    i_1 += 1
+    i_2 += 1
+    i_3 += 1
+  end
+  diagonals
+end
+
+#left top to bottom
+def left_diagonal_consecutive(matrix)
+  diagonals = []
+  i_0 = 3
+  j_0 = 0
+  i_1 = 2
+  j_1 = 1
+  i_2 = 1
+  j_2 = 2
+  i_3 = 0
+  j_3 = 3
+  while i_0 < matrix.row_count
+    while j_3 < matrix.column_count
+      diagonals << [matrix[i_0,j_0], matrix[i_1, j_1], matrix[i_2, j_2], matrix[i_3, j_3]]
+      j_0 += 1
+      j_1 += 1
+      j_2 += 1
+      j_3 += 1
+    end
+    j_0 = 0
+    j_1 = 1
+    j_2 = 2
+    j_3 = 3
+    i_0 += 1
+    i_1 += 1
+    i_2 += 1
+    i_3 += 1
+  end
+  diagonals
+end
+
+def max_consecutive_product(matrix)
+  consecutives = right_diagonal_consecutive(matrix) + left_diagonal_consecutive(matrix) + matrix_horizontal_consecutive(matrix) + matrix_vertical_consecutive(matrix)
+  products = []
+  consecutives.each do |list|
+    products << list.inject(:*)
+  end
+  products.max
+end
+
+matrix = Matrix.rows([[3,4,6,8,1],
+                      [5,6,3,1,7],
+                      [1,4,2,8,4],
+                      [7,3,2,6,3],
+                      [3,5,6,2,9]])
+
+matrix = Matrix.rows([[ 8, 2,22,97,38,15, 0,40, 0,75, 4, 5, 7,78,52,12,50,77,91, 8],
+                      [49,49,99,40,17,81,18,57,60,87,17,40,98,43,69,48, 4,56,62, 0],
+                      [81,49,31,73,55,79,14,29,93,71,40,67,53,88,30, 3,49,13,36,65],
+                      [52,70,95,23, 4,60,11,42,69,24,68,56, 1,32,56,71,37, 2,36,91],
+                      [22,31,16,71,51,67,63,89,41,92,36,54,22,40,40,28,66,33,13,80],
+                      [24,47,32,60,99, 3,45, 2,44,75,33,53,78,36,84,20,35,17,12,50],
+                      [32,98,81,28,64,23,67,10,26,38,40,67,59,54,70,66,18,38,64,70],
+                      [67,26,20,68, 2,62,12,20,95,63,94,39,63, 8,40,91,66,49,94,21],
+                      [24,55,58, 5,66,73,99,26,97,17,78,78,96,83,14,88,34,89,63,72],
+                      [21,36,23, 9,75, 0,76,44,20,45,35,14, 0,61,33,97,34,31,33,95],
+                      [78,17,53,28,22,75,31,67,15,94, 3,80, 4,62,16,14, 9,53,56,92],
+                      [16,39, 5,42,96,35,31,47,55,58,88,24, 0,17,54,24,36,29,85,57],
+                      [86,56, 0,48,35,71,89, 7, 5,44,44,37,44,60,21,58,51,54,17,58],
+                      [19,80,81,68, 5,94,47,69,28,73,92,13,86,52,17,77, 4,89,55,40],
+                      [ 4,52, 8,83,97,35,99,16, 7,97,57,32,16,26,26,79,33,27,98,66],
+                      [88,36,68,87,57,62,20,72, 3,46,33,67,46,55,12,32,63,93,53,69],
+                      [ 4,42,16,73,38,25,39,11,24,94,72,18, 8,46,29,32,40,62,76,36],
+                      [20,69,36,41,72,30,23,88,34,62,99,69,82,67,59,85,74, 4,36,16],
+                      [20,73,35,29,78,31,90, 1,74,31,49,71,48,86,81,16,23,57, 5,54],
+                      [ 1,70,54,71,83,51,54,69,16,92,33,48,61,43,52, 1,89,19,67,48]])
+
+puts max_consecutive_product(matrix)
diff --git a/euler012.rb b/euler012.rb
new file mode 100644
index 0000000..3976afc
--- /dev/null
+++ b/euler012.rb
@@ -0,0 +1,30 @@
+class Integer
+  def divisors
+    divisors = []
+    (1..Math.sqrt(self).to_i).each do |num|
+      if self % num == 0
+        divisors << num
+        divisors << self / num
+      end
+    end
+    divisors
+  end
+end
+
+triangle = Enumerator.new do |y|
+  sum = 1
+  next_num = 2
+  loop do
+    y << sum
+    sum += next_num
+    next_num += 1
+  end
+end
+
+val = triangle.next
+
+while val.divisors.count < 500
+  val = triangle.next
+end
+
+puts val
diff --git a/euler013.rb b/euler013.rb
new file mode 100644
index 0000000..8fd56b3
--- /dev/null
+++ b/euler013.rb
@@ -0,0 +1,100 @@
+puts (37107287533902102798797998220837590246510135740250 +
+46376937677490009712648124896970078050417018260538 +
+74324986199524741059474233309513058123726617309629 +
+91942213363574161572522430563301811072406154908250 +
+23067588207539346171171980310421047513778063246676 +
+89261670696623633820136378418383684178734361726757 +
+28112879812849979408065481931592621691275889832738 +
+44274228917432520321923589422876796487670272189318 +
+47451445736001306439091167216856844588711603153276 +
+70386486105843025439939619828917593665686757934951 +
+62176457141856560629502157223196586755079324193331 +
+64906352462741904929101432445813822663347944758178 +
+92575867718337217661963751590579239728245598838407 +
+58203565325359399008402633568948830189458628227828 +
+80181199384826282014278194139940567587151170094390 +
+35398664372827112653829987240784473053190104293586 +
+86515506006295864861532075273371959191420517255829 +
+71693888707715466499115593487603532921714970056938 +
+54370070576826684624621495650076471787294438377604 +
+53282654108756828443191190634694037855217779295145 +
+36123272525000296071075082563815656710885258350721 +
+45876576172410976447339110607218265236877223636045 +
+17423706905851860660448207621209813287860733969412 +
+81142660418086830619328460811191061556940512689692 +
+51934325451728388641918047049293215058642563049483 +
+62467221648435076201727918039944693004732956340691 +
+15732444386908125794514089057706229429197107928209 +
+55037687525678773091862540744969844508330393682126 +
+18336384825330154686196124348767681297534375946515 +
+80386287592878490201521685554828717201219257766954 +
+78182833757993103614740356856449095527097864797581 +
+16726320100436897842553539920931837441497806860984 +
+48403098129077791799088218795327364475675590848030 +
+87086987551392711854517078544161852424320693150332 +
+59959406895756536782107074926966537676326235447210 +
+69793950679652694742597709739166693763042633987085 +
+41052684708299085211399427365734116182760315001271 +
+65378607361501080857009149939512557028198746004375 +
+35829035317434717326932123578154982629742552737307 +
+94953759765105305946966067683156574377167401875275 +
+88902802571733229619176668713819931811048770190271 +
+25267680276078003013678680992525463401061632866526 +
+36270218540497705585629946580636237993140746255962 +
+24074486908231174977792365466257246923322810917141 +
+91430288197103288597806669760892938638285025333403 +
+34413065578016127815921815005561868836468420090470 +
+23053081172816430487623791969842487255036638784583 +
+11487696932154902810424020138335124462181441773470 +
+63783299490636259666498587618221225225512486764533 +
+67720186971698544312419572409913959008952310058822 +
+95548255300263520781532296796249481641953868218774 +
+76085327132285723110424803456124867697064507995236 +
+37774242535411291684276865538926205024910326572967 +
+23701913275725675285653248258265463092207058596522 +
+29798860272258331913126375147341994889534765745501 +
+18495701454879288984856827726077713721403798879715 +
+38298203783031473527721580348144513491373226651381 +
+34829543829199918180278916522431027392251122869539 +
+40957953066405232632538044100059654939159879593635 +
+29746152185502371307642255121183693803580388584903 +
+41698116222072977186158236678424689157993532961922 +
+62467957194401269043877107275048102390895523597457 +
+23189706772547915061505504953922979530901129967519 +
+86188088225875314529584099251203829009407770775672 +
+11306739708304724483816533873502340845647058077308 +
+82959174767140363198008187129011875491310547126581 +
+97623331044818386269515456334926366572897563400500 +
+42846280183517070527831839425882145521227251250327 +
+55121603546981200581762165212827652751691296897789 +
+32238195734329339946437501907836945765883352399886 +
+75506164965184775180738168837861091527357929701337 +
+62177842752192623401942399639168044983993173312731 +
+32924185707147349566916674687634660915035914677504 +
+99518671430235219628894890102423325116913619626622 +
+73267460800591547471830798392868535206946944540724 +
+76841822524674417161514036427982273348055556214818 +
+97142617910342598647204516893989422179826088076852 +
+87783646182799346313767754307809363333018982642090 +
+10848802521674670883215120185883543223812876952786 +
+71329612474782464538636993009049310363619763878039 +
+62184073572399794223406235393808339651327408011116 +
+66627891981488087797941876876144230030984490851411 +
+60661826293682836764744779239180335110989069790714 +
+85786944089552990653640447425576083659976645795096 +
+66024396409905389607120198219976047599490197230297 +
+64913982680032973156037120041377903785566085089252 +
+16730939319872750275468906903707539413042652315011 +
+94809377245048795150954100921645863754710598436791 +
+78639167021187492431995700641917969777599028300699 +
+15368713711936614952811305876380278410754449733078 +
+40789923115535562561142322423255033685442488917353 +
+44889911501440648020369068063960672322193204149535 +
+41503128880339536053299340368006977710650566631954 +
+81234880673210146739058568557934581403627822703280 +
+82616570773948327592232845941706525094512325230608 +
+22918802058777319719839450180888072429661980811197 +
+77158542502016545090413245809786882778948721859617 +
+72107838435069186155435662884062257473692284509516 +
+20849603980134001723930671666823555245252804609722 +
+53503534226472524250874054075591789781264330331690).to_s[0..9]
diff --git a/euler014.rb b/euler014.rb
new file mode 100644
index 0000000..bce3aa8
--- /dev/null
+++ b/euler014.rb
@@ -0,0 +1,23 @@
+def collatz(num)
+  list = []
+  current_num = num
+  while current_num > 1
+    list << current_num
+    if current_num % 2 == 0
+      current_num /= 2
+    else
+      current_num = 3*current_num + 1
+    end
+  end
+  list << 1
+end
+
+def longest_chain(num)
+  chain_length = {}
+  (1..num).each do |starting_num|
+    chain_length[starting_num] = collatz(starting_num).count
+  end
+  chain_length.sort_by { |key, value| value }.last
+end
+
+puts longest_chain(999999)
diff --git a/euler016.rb b/euler016.rb
new file mode 100644
index 0000000..6b1d2d6
--- /dev/null
+++ b/euler016.rb
@@ -0,0 +1 @@
+puts (2**1000).to_s.split("").map(&:to_i).inject(:+)
diff --git a/euler017.rb b/euler017.rb
new file mode 100644
index 0000000..0a7460a
--- /dev/null
+++ b/euler017.rb
@@ -0,0 +1,18 @@
+require 'numbers_and_words'
+
+class Integer
+  def words_length
+    if self < 100 || self % 100 == 0
+      self.to_words.gsub(/\s+/, "").gsub(/\-/, "").length
+    else
+      self.to_words.gsub(/\s+/, "").gsub(/\-/, "").length + 3 #accounting for "and"
+    end
+  end
+end
+
+count = 0
+(1..1000).each do |num|
+  count += num.words_length
+end
+
+puts count
diff --git a/euler018.rb b/euler018.rb
new file mode 100644
index 0000000..591030f
--- /dev/null
+++ b/euler018.rb
@@ -0,0 +1,107 @@
+triangle = [[75],
+            [95,64],
+            [17,47,82],
+            [18,35,87,10],
+            [20, 4,82,47,65],
+            [19, 1,23,75, 3,34],
+            [88, 2,77,73, 7,63,67],
+            [99,65, 4,28, 6,16,70,92],
+            [41,41,26,56,83,40,80,70,33],
+            [41,48,72,33,47,32,37,16,94,29],
+            [53,71,44,65,25,43,91,52,97,51,14],
+            [70,11,33,28,77,73,17,78,39,68,17,57],
+            [91,71,52,38,17,14,91,43,58,50,27,29,28],
+            [63,66, 4,68,89,53,67,30,73,16,69,87,40,31],
+            [ 4,62,98,27,23, 9,70,98,73,93,38,53,60, 4,23]]
+
+class Triangle
+  def initialize(list_of_lists)
+    @data = list_of_lists
+    @route_length = {}
+    locations.each do |location|
+      @route_length[location] = @data[location.first][location.last]
+    end
+  end
+
+  def locations
+    locations = []
+    (0..row_count-1).each do |row_num|
+      (0..row_num).each do |index|
+        locations << [row_num, index]
+      end
+    end
+    locations
+  end
+
+  def row(num)
+    @data[num]
+  end
+
+  def row_count
+    @data.count
+  end
+
+  def route_length(row, index_from_left)
+    @route_length[[row, index_from_left]]
+  end
+
+  def root
+    @data.first.first
+  end
+
+  def element(row_num, index_from_left)
+    row(row_num)[index_from_left]
+  end
+
+  def children_of_element(row_num, index_from_left)
+    unless is_bottom_row?(row_num)
+      [@route_length[[row_num+1, index_from_left]], @route_length[[row_num+1, index_from_left+1]]]
+    else
+      []
+    end
+  end
+
+  def is_bottom_row?(row_num)
+    row_num == @data.count - 1
+  end
+
+  def bottom_row
+    @data.count - 1
+  end
+
+  def maximum_route_total
+    ((bottom_row-1).downto(0)).each do |row_num|
+      (0..@data[row_num].length-1).each do |index|
+        children = children_of_element(row_num, index)
+        current_elt = element(row_num, index)
+        choose_first_elt = current_elt + children.first
+        choose_second_elt = current_elt + children.last
+        @route_length[[row_num, index]] = [choose_first_elt, choose_second_elt].max
+      end
+    end
+    @route_length[[0,0]]
+  end
+end
+
+def parse_triangle(filename)
+  triangle_data = []
+  File.open(filename, 'r') do |file|
+    while line = file.gets
+      triangle_data << line.split(" ").map(&:to_i)
+    end
+  end
+  Triangle.new(triangle_data)
+end
+
+parsed_triangle = parse_triangle("triangle18.txt")
+
+triangle_two = Triangle.new([ [3],
+                          [7,4],
+                          [2,4,6],
+                          [8,5,9,3] ])
+
+triangle_67 = parse_triangle("triangle67.txt")
+
+puts triangle_two.maximum_route_total.inspect
+puts parsed_triangle.maximum_route_total.inspect
+puts triangle_67.maximum_route_total.inspect
diff --git a/euler019.rb b/euler019.rb
new file mode 100644
index 0000000..d593bab
--- /dev/null
+++ b/euler019.rb
@@ -0,0 +1,9 @@
+require 'date'
+
+number_of_sundays = 0
+(DateTime.new(1901, 1, 1)..DateTime.new(2000, 12, 31)).each do |day|
+  if day.strftime("%A") == "Sunday" && day.strftime("%d") == "01"
+    number_of_sundays += 1
+  end
+end
+puts number_of_sundays
diff --git a/euler020.rb b/euler020.rb
new file mode 100644
index 0000000..62a5239
--- /dev/null
+++ b/euler020.rb
@@ -0,0 +1,5 @@
+def factorial(n)
+  (1..n).inject(:*)
+end
+
+puts factorial(100).to_s.split("").map(&:to_i).inject(:+)
diff --git a/euler021.rb b/euler021.rb
new file mode 100644
index 0000000..c0bcbd2
--- /dev/null
+++ b/euler021.rb
@@ -0,0 +1,31 @@
+require 'prime'
+
+def d(n)
+  divisors = [1]
+  (2..Math.sqrt(n)).each do |possible_divisor|
+    if n % possible_divisor == 0
+      divisors << possible_divisor
+      divisors << (n / possible_divisor)
+    end
+  end
+  divisors.inject(:+)
+end
+
+def amicable_numbers(n)
+  d_values = {}
+  (2..n).each do |num|
+    d_values[num] =  d(num)
+  end
+
+  possible_amicables = d_values.select{ |key, value| value <= n }
+
+  amicables = []
+  possible_amicables.each do |key, value|
+    if d_values[value] == key && key != value
+      amicables << [key, value]
+    end
+  end
+  amicables.flatten.uniq
+end
+
+puts amicable_numbers(100000).inject(:+)
diff --git a/euler022.rb b/euler022.rb
new file mode 100644
index 0000000..b9c7570
--- /dev/null
+++ b/euler022.rb
@@ -0,0 +1,31 @@
+names = []
+File.open('names.txt', 'r') do |file|
+  names = file.gets.gsub(/"/, "").split(",")
+end
+names.sort!
+
+def get_alphabet_values
+  {}.tap do |alphabet_values|
+    i = 1
+    ("A".."Z").each do |char|
+      alphabet_values[char] = i
+      i += 1
+    end
+  end
+end
+
+def alphabet_score(name, alphabet_values)
+  score = 0
+  name.split("").each { |letter| score += alphabet_values[letter]}
+  score
+end
+
+def total_score(names, alphabet_values)
+  [].tap do |scores|
+    names.each_with_index do |name, index|
+      scores << alphabet_score(name, alphabet_values) * (index+1)
+    end
+  end.inject(:+)
+end
+
+puts total_score(names, get_alphabet_values)
diff --git a/euler023.rb b/euler023.rb
new file mode 100644
index 0000000..9f92ba3
--- /dev/null
+++ b/euler023.rb
@@ -0,0 +1,48 @@
+def divisors(n)
+ divisors = [1]
+  (2..Math.sqrt(n)).each do |possible_divisor|
+    if n % possible_divisor == 0
+      divisors << possible_divisor
+      divisors << (n / possible_divisor)
+    end
+  end
+  divisors.uniq
+end
+
+def abundant?(num)
+  divisors(num).inject(:+) > num
+end
+
+def abundants
+  [].tap do |abundants|
+    (1..28122).each do |num|
+      abundants << num if abundant?(num)
+    end
+  end
+end
+
+def sums_of_abundants
+  [].tap do |sums|
+    abundant_list = abundants
+    abundant_list.each_with_index do |num, index|
+      abundant_list.drop(index).each do |second_num|
+        sum = num + second_num
+        if sum < 28123
+          sums << sum
+        else
+          break
+        end
+      end
+    end
+  end
+end
+
+def not_sums_of_abundants
+  non_abundants = (1..28122).to_a
+  sums_of_abundants.uniq.each do |sum|
+    non_abundants.delete sum
+  end
+  non_abundants
+end
+
+puts not_sums_of_abundants.inject(:+)
diff --git a/euler025.rb b/euler025.rb
new file mode 100644
index 0000000..5c79a29
--- /dev/null
+++ b/euler025.rb
@@ -0,0 +1,32 @@
+#starts with index 1
+def fib(n)
+  if n == 1|| n == 2
+    1
+  else
+    fib(n-1) + fib(n-2)
+  end
+end
+
+fib = Enumerator.new do |y|
+  n_1 = n_2 = 1
+  loop do
+    y << n_1
+    n_1, n_2 = n_2, n_1 + n_2
+  end
+end
+
+term = 0
+while fib.next.to_s.length < 1000
+  term += 1
+end
+
+puts term + 1
+
+# next_fib = fib.next
+# i = 0
+# while next_fib.to_s.length < 1000
+#   next_fib = fib.next
+#   i += 1
+# end
+# 
+# puts i+1
diff --git a/euler027.rb b/euler027.rb
new file mode 100644
index 0000000..7130255
--- /dev/null
+++ b/euler027.rb
@@ -0,0 +1,35 @@
+require 'prime'
+
+#1. generate quadratic expressions
+#2. for each quadratic expression, iterate until non-prime is found
+#3.
+def primes_from_quadratic(a,b)
+  generator = Enumerator.new do |y|
+    n = 0
+    loop do
+      y << n**2 + a*n + b
+      n += 1
+    end
+  end
+
+  primes = []
+
+  while (next_num = generator.next).prime?
+    primes << next_num
+  end
+  primes
+end
+
+max_consecutive_prime_length = 0
+max_consecutive_prime_coefficients = []
+(-999..999).each do |a|
+  (-999..999).each do |b|
+    prime_length = primes_from_quadratic(a,b).count
+    if prime_length > max_consecutive_prime_length
+      max_consecutive_prime_coefficients = [a,b]
+      max_consecutive_prime_length = prime_length
+    end
+  end
+end
+
+puts max_consecutive_prime_coefficients
diff --git a/euler029.rb b/euler029.rb
new file mode 100644
index 0000000..37e17dc
--- /dev/null
+++ b/euler029.rb
@@ -0,0 +1,8 @@
+terms = []
+(2..100).each do |a|
+  (2..100).each do |b|
+    terms << a**b
+  end
+end
+
+puts terms.uniq.count
diff --git a/euler030.rb b/euler030.rb
new file mode 100644
index 0000000..b8cef8a
--- /dev/null
+++ b/euler030.rb
@@ -0,0 +1,12 @@
+def sum_of_fifth_powers(num)
+  list_of_digits = num.to_s.split("").map(&:to_i)
+  list_of_digits.map { |digit| digit**5 }.inject(:+)
+end
+
+equivalent_sums = []
+(10..1000000).each do |num|
+  sum = sum_of_fifth_powers(num)
+  equivalent_sums << num if sum == num
+end
+
+puts equivalent_sums.inject(:+)
diff --git a/euler031.rb b/euler031.rb
new file mode 100644
index 0000000..71c120f
--- /dev/null
+++ b/euler031.rb
@@ -0,0 +1,18 @@
+def change(n, list_of_coins)
+  changeHelper(n, list_of_coins, [])
+end
+
+def changeHelper(n, list_of_coins, result_list)
+  if list_of_coins.empty?
+    [result_list]
+  elsif n == 0
+    [result_list]
+  else
+    if n >= list_of_coins.first
+      changeHelper(n - list_of_coins.first, list_of_coins, result_list << list_of_coins.first) +
+        changeHelper(n, list_of_coins[1..list_of_coins.count-1], result_list)
+    else
+      changeHelper(n, list_of_coins[1..list_of_coins.count-1], result_list)
+    end
+  end
+end
diff --git a/euler032.rb b/euler032.rb
new file mode 100644
index 0000000..5498616
--- /dev/null
+++ b/euler032.rb
@@ -0,0 +1,17 @@
+def is_pandigital?(num_as_string)
+  num_as_string.split("").sort.join == "123456789"
+end
+
+pandigitals = []
+(1..100000).each do |i|
+  (1..100000).each do |j|
+    k = i * j
+    if is_pandigital?(i.to_s + j.to_s + k.to_s)
+      [i,j,k] << pandigitals
+      puts [i,j,k].inspect
+    end
+    break if k.to_s.length > 9
+  end
+end
+
+puts pandigitals.inspect
diff --git a/euler033.rb b/euler033.rb
new file mode 100644
index 0000000..2c8f5b9
--- /dev/null
+++ b/euler033.rb
@@ -0,0 +1,21 @@
+class Integer
+  def mod_exp(exp, mod)
+    exp < 0 and raise ArgumentError, "negative exponent"
+    prod = 1
+    base = self % mod
+    until exp.zero?
+      exp.odd? and prod = (prod * base) % mod
+      exp >>= 1
+      base = (base * base) % mod
+    end
+    prod
+  end
+end
+
+PHI = (1 + Math.sqrt(5)) / 2
+
+def fib(n)
+  ((PHI ** n - (-1 / PHI) ** n) / Math.sqrt(5)).to_i
+end
+
+puts fib(8)
diff --git a/names.txt b/names.txt
new file mode 100644
index 0000000..7b8986b
--- /dev/null
+++ b/names.txt
@@ -0,0 +1 @@
+"MARY","PATRICIA","LINDA","BARBARA","ELIZABETH","JENNIFER","MARIA","SUSAN","MARGARET","DOROTHY","LISA","NANCY","KAREN","BETTY","HELEN","SANDRA","DONNA","CAROL","RUTH","SHARON","MICHELLE","LAURA","SARAH","KIMBERLY","DEBORAH","JESSICA","SHIRLEY","CYNTHIA","ANGELA","MELISSA","BRENDA","AMY","ANNA","REBECCA","VIRGINIA","KATHLEEN","PAMELA","MARTHA","DEBRA","AMANDA","STEPHANIE","CAROLYN","CHRISTINE","MARIE","JANET","CATHERINE","FRANCES","ANN","JOYCE","DIANE","ALICE","JULIE","HEATHER","TERESA","DORIS","GLORIA","EVELYN","JEAN","CHERYL","MILDRED","KATHERINE","JOAN","ASHLEY","JUDITH","ROSE","JANICE","KELLY","NICOLE","JUDY","CHRISTINA","KATHY","THERESA","BEVERLY","DENISE","TAMMY","IRENE","JANE","LORI","RACHEL","MARILYN","ANDREA","KATHRYN","LOUISE","SARA","ANNE","JACQUELINE","WANDA","BONNIE","JULIA","RUBY","LOIS","TINA","PHYLLIS","NORMA","PAULA","DIANA","ANNIE","LILLIAN","EMILY","ROBIN","PEGGY","CRYSTAL","GLADYS","RITA","DAWN","CONNIE","FLORENCE","TRACY","EDNA","TIFFANY","CARMEN","ROSA","CINDY","GRACE","WENDY","VICTORIA","EDITH","KIM","SHERRY","SYLVIA","JOSEPHINE","THELMA","SHANNON","SHEILA","ETHEL","ELLEN","ELAINE","MARJORIE","CARRIE","CHARLOTTE","MONICA","ESTHER","PAULINE","EMMA","JUANITA","ANITA","RHONDA","HAZEL","AMBER","EVA","DEBBIE","APRIL","LESLIE","CLARA","LUCILLE","JAMIE","JOANNE","ELEANOR","VALERIE","DANIELLE","MEGAN","ALICIA","SUZANNE","MICHELE","GAIL","BERTHA","DARLENE","VERONICA","JILL","ERIN","GERALDINE","LAUREN","CATHY","JOANN","LORRAINE","LYNN","SALLY","REGINA","ERICA","BEATRICE","DOLORES","BERNICE","AUDREY","YVONNE","ANNETTE","JUNE","SAMANTHA","MARION","DANA","STACY","ANA","RENEE","IDA","VIVIAN","ROBERTA","HOLLY","BRITTANY","MELANIE","LORETTA","YOLANDA","JEANETTE","LAURIE","KATIE","KRISTEN","VANESSA","ALMA","SUE","ELSIE","BETH","JEANNE","VICKI","CARLA","TARA","ROSEMARY","EILEEN","TERRI","GERTRUDE","LUCY","TONYA","ELLA","STACEY","WILMA","GINA","KRISTIN","JESSIE","NATALIE","AGNES","VERA","WILLIE","CHARLENE","BESSIE","DELORES","MELINDA","PEARL","ARLENE","MAUREEN","COLLEEN","ALLISON","TAMARA","JOY","GEORGIA","CONSTANCE","LILLIE","CLAUDIA","JACKIE","MARCIA","TANYA","NELLIE","MINNIE","MARLENE","HEIDI","GLENDA","LYDIA","VIOLA","COURTNEY","MARIAN","STELLA","CAROLINE","DORA","JO","VICKIE","MATTIE","TERRY","MAXINE","IRMA","MABEL","MARSHA","MYRTLE","LENA","CHRISTY","DEANNA","PATSY","HILDA","GWENDOLYN","JENNIE","NORA","MARGIE","NINA","CASSANDRA","LEAH","PENNY","KAY","PRISCILLA","NAOMI","CAROLE","BRANDY","OLGA","BILLIE","DIANNE","TRACEY","LEONA","JENNY","FELICIA","SONIA","MIRIAM","VELMA","BECKY","BOBBIE","VIOLET","KRISTINA","TONI","MISTY","MAE","SHELLY","DAISY","RAMONA","SHERRI","ERIKA","KATRINA","CLAIRE","LINDSEY","LINDSAY","GENEVA","GUADALUPE","BELINDA","MARGARITA","SHERYL","CORA","FAYE","ADA","NATASHA","SABRINA","ISABEL","MARGUERITE","HATTIE","HARRIET","MOLLY","CECILIA","KRISTI","BRANDI","BLANCHE","SANDY","ROSIE","JOANNA","IRIS","EUNICE","ANGIE","INEZ","LYNDA","MADELINE","AMELIA","ALBERTA","GENEVIEVE","MONIQUE","JODI","JANIE","MAGGIE","KAYLA","SONYA","JAN","LEE","KRISTINE","CANDACE","FANNIE","MARYANN","OPAL","ALISON","YVETTE","MELODY","LUZ","SUSIE","OLIVIA","FLORA","SHELLEY","KRISTY","MAMIE","LULA","LOLA","VERNA","BEULAH","ANTOINETTE","CANDICE","JUANA","JEANNETTE","PAM","KELLI","HANNAH","WHITNEY","BRIDGET","KARLA","CELIA","LATOYA","PATTY","SHELIA","GAYLE","DELLA","VICKY","LYNNE","SHERI","MARIANNE","KARA","JACQUELYN","ERMA","BLANCA","MYRA","LETICIA","PAT","KRISTA","ROXANNE","ANGELICA","JOHNNIE","ROBYN","FRANCIS","ADRIENNE","ROSALIE","ALEXANDRA","BROOKE","BETHANY","SADIE","BERNADETTE","TRACI","JODY","KENDRA","JASMINE","NICHOLE","RACHAEL","CHELSEA","MABLE","ERNESTINE","MURIEL","MARCELLA","ELENA","KRYSTAL","ANGELINA","NADINE","KARI","ESTELLE","DIANNA","PAULETTE","LORA","MONA","DOREEN","ROSEMARIE","ANGEL","DESIREE","ANTONIA","HOPE","GINGER","JANIS","BETSY","CHRISTIE","FREDA","MERCEDES","MEREDITH","LYNETTE","TERI","CRISTINA","EULA","LEIGH","MEGHAN","SOPHIA","ELOISE","ROCHELLE","GRETCHEN","CECELIA","RAQUEL","HENRIETTA","ALYSSA","JANA","KELLEY","GWEN","KERRY","JENNA","TRICIA","LAVERNE","OLIVE","ALEXIS","TASHA","SILVIA","ELVIRA","CASEY","DELIA","SOPHIE","KATE","PATTI","LORENA","KELLIE","SONJA","LILA","LANA","DARLA","MAY","MINDY","ESSIE","MANDY","LORENE","ELSA","JOSEFINA","JEANNIE","MIRANDA","DIXIE","LUCIA","MARTA","FAITH","LELA","JOHANNA","SHARI","CAMILLE","TAMI","SHAWNA","ELISA","EBONY","MELBA","ORA","NETTIE","TABITHA","OLLIE","JAIME","WINIFRED","KRISTIE","MARINA","ALISHA","AIMEE","RENA","MYRNA","MARLA","TAMMIE","LATASHA","BONITA","PATRICE","RONDA","SHERRIE","ADDIE","FRANCINE","DELORIS","STACIE","ADRIANA","CHERI","SHELBY","ABIGAIL","CELESTE","JEWEL","CARA","ADELE","REBEKAH","LUCINDA","DORTHY","CHRIS","EFFIE","TRINA","REBA","SHAWN","SALLIE","AURORA","LENORA","ETTA","LOTTIE","KERRI","TRISHA","NIKKI","ESTELLA","FRANCISCA","JOSIE","TRACIE","MARISSA","KARIN","BRITTNEY","JANELLE","LOURDES","LAUREL","HELENE","FERN","ELVA","CORINNE","KELSEY","INA","BETTIE","ELISABETH","AIDA","CAITLIN","INGRID","IVA","EUGENIA","CHRISTA","GOLDIE"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\ No newline at end of file
diff --git a/triangle18.txt b/triangle18.txt
new file mode 100644
index 0000000..e236c2f
--- /dev/null
+++ b/triangle18.txt
@@ -0,0 +1,15 @@
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+63 66 04 68 89 53 67 30 73 16 69 87 40 31
+04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
diff --git a/triangle67.txt b/triangle67.txt
new file mode 100644
index 0000000..00aa2bc
--- /dev/null
+++ b/triangle67.txt
@@ -0,0 +1,100 @@
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