Blog of 125034
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2026-03-01 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
median {p5, p4, p0} = 3
4th → a, 1st → b, |a-b|=1
⟨⋯ Perm(1,2,4) ⋯⟩
⟨⋯ 5 ⋯ a ⋯⟩, a = 0|1|2|4
⛔Avoid
median {p3, p1, p0} = 1
⟨ ▧ − ▢ ▢ − − ⟩, ▧ ≤ Σ▢
{p5, p4, p0} = ? + {0,1,3}
#125034_v2.12
2026-02-27 Q1(m=6,v=0)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁵ᵗʰc ⁴ᵗʰd ³ʳᵈb ¹ˢᵗa ⟩, a > b > c > d
⟨ ⁶ᵗʰa ⁴ᵗʰb ⁰ᵗʰc ⟩, a > b > c
⟨ ⁶ᵗʰb ²ⁿᵈc ¹ˢᵗa ⟩, a > b > c
⟨ ⁶ᵗʰa ⁵ᵗʰd ³ʳᵈb ²ⁿᵈc ⟩, a > b > c > d
#125034_v2.12
2026-02-27 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)
Jump(3,4) = 3
5th|4th|2nd|1st → 5
⛔Avoid
max {p3, p2} = 5
5th|4th|2nd|0th → 0
#125034_v2.12
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