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Solve problem 30 and 54

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commit a14a6f7c16628d5d1c893f0ebda4ceab67d547c5 1 parent fd96070
Austin Lee authored
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7 src/problem-30/problem
@@ -0,0 +1,7 @@
+Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
+1634 = 1^4 + 6^4 + 3^4 + 4^4
+8208 = 8^4 + 2^4 + 0^4 + 8^4
+9474 = 9^4 + 4^4 + 7^4 + 4^4
+As 1 = 1^4 is not a sum it is not included.
+The sum of these numbers is 1634 + 8208 + 9479 = 19316.
+Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
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20 src/problem-30/pzoe.rb
@@ -0,0 +1,20 @@
+public
+
+# since we know that the max is 1000000, let's try iterating over numbers this time.
+def pzoe
+ sum = 0
+ (0..9).each do |a|
+ (0..9).each do |b|
+ (0..9).each do |c|
+ (0..9).each do |e|
+ (0..9).each do |f|
+ (0..9).each do |g|
+ sum += a * 100000 + b * 10000 + c * 1000 + e * 100 + f * 10 + g if a * 100000 + b * 10000 + c * 1000 + e * 100 + f * 10 + g == a ** 5 + b ** 5 + c ** 5 + e ** 5 + f ** 5 + g ** 5
+ end
+ end
+ end
+ end
+ end
+ end
+ sum - 1
+end
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16 src/problem-30/pzvz.rb
@@ -0,0 +1,16 @@
+public
+
+# note: 9^5 is 59049. 9999 would be 236196 and 99999 would be 295245. Thus, anything above 1000000 would most likely have a sum that's too high.
+def pzvz
+ sum = 0
+ (10..1000000).each do |i|
+ csum = 0
+ comp = i
+ while i > 0
+ csum += (i % 10) ** 5
+ i /= 10
+ end
+ sum += comp if comp == csum
+ end
+ sum
+end
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2  src/problem-5/uack.rb
@@ -1,7 +1,7 @@
public
def uack
- # Same as uacs but now let's try to code the process
+ # same as uacc but uses arrPrimeFactor2 instead, it's a slight improvement
neededMultiples = Array.new
(1 .. 20).each do |i|
dupMultiples = Array.new(neededMultiples)
View
161 src/problem-54/kpvj.rb
@@ -0,0 +1,161 @@
+public
+
+def kpvj
+ result= 0
+ File.open("src/problem-54/poker").each do |line|
+ a = Hand.new(line[0,14])
+ b = Hand.new(line[15,30])
+ aS = a.getScore
+ bS = b.getScore
+ result += 1 if aS > bS
+ if aS == bS
+ if aS == 0
+ result += 1 if a.getSingleScore > b.getSingleScore
+ else
+ result += 1 if a.getDoubleScore > b.getDoubleScore
+ end
+ end
+ end
+ result
+end
+
+private
+
+class Hand
+ attr_accessor :score
+ def initialize(stringhand)
+ @cards = stringhand.split(' ').map {|card| Card.new(card)}
+ @score = 0
+ end
+ def getScore
+ @score += numOfPairs.to_i
+ @score += 4 if threeOfAKind?
+ @score += 8 if straight?
+ @score += 16 if flush?
+ @score += 32 if fullHouse?
+ @score += 64 if fourOfAKind?
+ @score += 128 if straightFlush?
+ @score += 256 if royalFlush?
+ @score
+ end
+ def getSingleScore
+ sum = 0
+ iterator = 1
+ fullHand = ['2','3','4','5','6','7','8','9','T','J','Q','K','A']
+ sortedHand = Array.new
+ malleable = @cards.collect{|c| c.value}
+ fullHand.each do |i|
+ sortedHand.push(i) if malleable.include?(i)
+ end
+ sortedHand.each do |i|
+ val = 0
+ if i.to_i != 0
+ val = i.to_i
+ elsif i == 'T'
+ val = 10
+ elsif i == 'J'
+ val = 11
+ elsif i == 'Q'
+ val = 12
+ elsif i == 'K'
+ val = 13
+ elsif i == 'A'
+ val = 14
+ end
+ sum += val * iterator
+ iterator *= 14
+ end
+ sum
+ end
+ def getDoubleScore
+ sum = 0
+ iterator = 1
+ fullHand = ['2','3','4','5','6','7','8','9','T','J','Q','K','A']
+ sortedHand = Array.new
+ malleable = @cards.collect{|c| c.value}
+ findDouble = 0
+ fullHand.each do |i|
+ sortedHand.push(i) if malleable.count(i) == 1
+ findDouble = i if malleable.count(i) == 2
+ end
+ sortedHand.push findDouble
+ sortedHand.each do |i|
+ val = 0
+ if i.to_i != 0
+ val = i.to_i
+ elsif i == 'T'
+ val = 10
+ elsif i == 'J'
+ val = 11
+ elsif i == 'Q'
+ val = 12
+ elsif i == 'K'
+ val = 13
+ elsif i == 'A'
+ val = 14
+ end
+ sum += val * iterator
+ iterator *= 14
+ end
+ sum
+ end
+ def numOfPairs
+ num = 0
+ malleable = @cards.collect{|c| c.value}
+ malleable.each do |i|
+ num += 1 if malleable.count(i) > 1
+ end
+ num/2
+ end
+ def threeOfAKind?
+ malleable = @cards.collect{|c| c.value}
+ (0..2).each do |i|
+ return true if malleable.count(malleable[i])== 3
+ end
+ false
+ end
+ def straight?
+ correctOrder = ['2','3','4','5','6','7','8','9','T','J','Q','K','A']
+ malleable = @cards.collect{|c| c.value}.sort
+ if malleable[0].to_i != 0
+ startOrder = correctOrder.index malleable[0]
+ (1..4).each do |i|
+ return false if not malleable.include?(correctOrder[startOrder + i])
+ end
+ else
+ startOrder = 8
+ (0..4).each do |i|
+ return false if not malleable.include?(correctOrder[startOrder + i])
+ end
+ end
+ true
+ end
+ def flush?
+ @cards.collect{|c|c.suit}.uniq.size == 1
+ end
+ def fullHouse?
+ return (self.threeOfAKind? and numOfPairs == 2)
+ end
+ def fourOfAKind?
+ malleable = @cards.collect{|c| c.value}
+ (0..1).each do |i|
+ return true if malleable.count(malleable[i]) == 4
+ end
+ false
+ end
+ def straightFlush?
+ return (self.straight? and self.flush?)
+ end
+ def royalFlush?
+ highcard = @cards.collect{|c|c.value}.include? 'A'
+ return (highcard && self.straightFlush?)
+ end
+end
+
+class Card
+ attr_accessor :suit, :value
+ def initialize (stringcard)
+ @suit = stringcard[1]
+ @value = stringcard[0]
+ end
+end
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1,000 src/problem-54/poker
@@ -0,0 +1,1000 @@
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21 src/problem-54/problem
@@ -0,0 +1,21 @@
+In the card game poker, a hand consists of five cards and are ranked, from lowest to highest, in the following way:
+High Card: Highest value card.
+One Pair: Two cards of the same value.
+Two Pairs: Two different pairsj
+Three of a kind: Three cards of the same value.
+Straight: All cards are consecutive values.
+Flush: All cards of the same suit.
+Full House: Tree of a kind and a pair.
+Four of a kind: Four cards of the same value.
+Straight Flush: All cards are consecutive values of same suit.
+Royal Flush: Ten, Jack, Queen, King, Ace, in same suit.
+
+The cards are valued in the order:
+2,3,4,5,6,7,8,9,10,Jack,Queen,King,Ace.
+
+If two players have the same ranked hands then the rank made up of the highest value wins: for example, a pair of eights beats a pair of fives. But if two ranks tie, for example, both players have a pair of queens, then highest cards in each hand are compared (see example 4 below); if the highest cards tie then the next highest cards are compared, and so on.
+Consider the following five hands dealt to two players:
+
+The file, poker.txt, contains one-thousand random hands dealt to two players. Each line of the file contains ten cards (separated by a single space): the first five are Player 1's cards and the last five are Player 2's cards. You can assume that all hands are valid (no invalid characters or repeated cards), each player's hand is in no specific order, and in each hand there is a clear winner.
+
+How many hands does Player 1 win?

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