1/1/2023 0 Comments Project euler 54![]() 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 (see example 1 below). Royal Flush: Ten, Jack, Queen, King, Ace, in same suit.Ģ, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace.Straight Flush: All cards are consecutive values of same suit.Four of a Kind: Four cards of the same value.Full House: Three of a kind and a pair.Straight: All cards are consecutive values.Three of a Kind: Three cards of the same value. ![]() In the card game poker, a hand consists of five cards and are ranked, from lowest to highest, in the following way: The problem 54, porker hands looks a good candidate for this advanture. If(is.null(dup) || is.To see the real power of a functional langulage, I would apply it to a complicate problem. Then concatenating each number to form a digit string. If the rowSums of this matrix is unique, it means one of the possible gon-ring solution was found. The innode group and outnode were then combined to form a matrix, this matrix was sorted to let the gon-ring starting from the lowest outnode, and the path is smallest. Each combination (l) should passed the criteria of each innode was used two times, and sorted by inNodeSort, which make sure that one time the innode was used in the middle, the other time it should be used in the end, or vice versa. If these innode groups have more than one combination, iterate all the possible combinations. Only those have a same sum were retained. All the possible sums of the innode group and outnode were further calculated. The inNode set (iv) was used to generate all the possible combination of innode groups. I defined getNode to generate all the combination of inNode and outNode. There are many details need to consider.įirstly, the nodes are divided into inNode and outNode. This is a very interesting problem, it tooks me several hours to solve it. What is the maximum 16-digit string for a “magic” 5-gon ring? Using the numbers 1 to 10, and depending on arrangements, it is possible to form 16- and 17-digit strings. There are eight solutions in total.īy concatenating each group it is possible to form 9-digit strings the maximum string for a 3-gon ring is 432621513. It is possible to complete the ring with four different totals: 9, 10, 11, and 12. For example, the above solution can be described by the set: 4,3,2 6,2,1 5,1,3. Working clockwise, and starting from the group of three with the numerically lowest external node (4,3,2 in this example), each solution can be described uniquely. Consider the following “magic” 3-gon ring, filled with the numbers 1 to 6, and each line adding to nine. ![]()
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