Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2025-03-30 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
5th → a, 1st → b, a+b=2+4n
6th → 1
5th → 6
{p5, p1, p0} = ? + {0,2,4}
4th → a, 2nd → b, a+b=3+5n
⛔Avoid
4th → a, 1st → b, |a-b|=1
#125034_v2.8
2025-03-28 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ Perm(4,6) ⋯⟩
⟨ ⁶ᵗʰa ³ʳᵈb ⟩, min⟦a,b⟧ = 2
median {p3, p2, p1} = 1
⟨⋯ Perm(1,2,3) ⋯⟩
⛔Avoid
⟨? 6 ⋯ (?−2) ⋯ 2 ⋯⟩ (?≠6)
max ⊢1⊣ = 3
#125034_v2.8
2025-03-28 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ Perm(0,4,5) ⋯⟩
3rd → a, 2nd → b, |a-b|=5
⟨ ³ʳᵈa ²ⁿᵈb ⟩, a > b
5th → 2|3|5
⛔Avoid
4th → 0|1|4
median {p5, p3, p2} = 3
#125034_v2.8
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