Wordle in math. Sudoku in 6 grids. Einstein's Riddle in 1D. A challenging game.
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2023-11-22 WRRearrange the digits in 〈125034〉 to meet the rules below.〈5th 4th 3rd 2nd 1st 0th〉Match:〈⋯ Perm(3,4,5) ⋯〉[1,4] ∋ 0,33rd → a, 0th → b, ab=0Jump(2,4) = 2----- Information -----● 「〈⋯ Perm(3,4,5) ⋯〉」3,4,5 are adjacent.144 permutations match this pattern.Examples: 〈120543〉, 〈243510〉, 〈201345〉.● 「[1,4] ∋ 0,3」The closed interval given by 1 and 4 contains 0, 3.120 permutations match this pattern.Examples: 〈420531〉, 〈132504〉, 〈103245〉.● 「3rd → a, 0th → b, ab=0」240 permutations match this pattern.Examples: 〈230451〉, 〈250143〉, 〈241350〉.● 「Jump(2,4) = 2」There are 2 numbers between 2 and 4.144 permutations match this pattern.Examples: 〈345021〉, 〈403251〉, 〈134502〉.**************543210--------0----20---120---120-4-12034-120345**************Proof.https://125034.blogspot.com/2023/11/2023-11-22-wr.htmlQ.E.D.#125034_v2.2
~Ching Yin Chan
2.2
2023-11-22 WRRearrange the digits in 〈125034〉 to meet the rules below.〈5th 4th 3rd 2nd 1st 0th〉Match:〈⋯ Perm(3,4,5) ⋯〉[1,4] ∋ 0,33rd → a, 0th → b, ab=0Jump(2,4) = 2----- Information -----● 「〈⋯ Perm(3,4,5) ⋯〉」3,4,5 are adjacent.144 permutations match this pattern.Examples: 〈120543〉, 〈243510〉, 〈201345〉.● 「[1,4] ∋ 0,3」The closed interval given by 1 and 4 contains 0, 3.120 permutations match this pattern.Examples: 〈420531〉, 〈132504〉, 〈103245〉.● 「3rd → a, 0th → b, ab=0」240 permutations match this pattern.Examples: 〈230451〉, 〈250143〉, 〈241350〉.● 「Jump(2,4) = 2」There are 2 numbers between 2 and 4.144 permutations match this pattern.Examples: 〈345021〉, 〈403251〉, 〈134502〉.**************543210--------0----20---120---120-4-12034-120345**************Proof.https://125034.blogspot.com/2023/11/2023-11-22-wr.htmlQ.E.D.#125034_v2.2