Blog of 125034
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2026-07-05 Q1(v=1)
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 5−⟨⇌⟩
⟨⋯ ? ⋯ 4 ⋯ (?−2)⟩ (?≠4)
⟨? ⋯ 3 ⋯ (?−2) ⋯⟩ (?≠3,5)
⛔Avoid
⟨⋯ ? ⋯ 1 ⋯ (?−2)⟩ (?≠3)
⟨? ⋯ 0 ⋯ (?+3) ⋯⟩ (?≠0)
#125034_v2.13
2026-07-03 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁴ᵗʰa ⁰ᵗʰb ⟩, min⟦a,b⟧ = 1
⟦0,6⟧ ∋ 2,3,4
max {p5, p4} = 3
⟦1,4⟧ ∋ 5
⛔Avoid
⟨ ²ⁿᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 56
5th → 0|1|3
#125034_v2.13
2026-07-03 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
4th|3rd|2nd → 2
⟨⋯ ᵃb ⋯⟩, a+b=7
⟨ − ▧ ▧ ▧ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⛔Avoid
⟨⋯ a ⋯ 4 ⋯⟩, a = 0|1
⟨⋯ 2 ⋯ 5 ⋯ 1 ⋯⟩
⟨⋯ Perm(0,3) ⋯⟩
⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)
#125034_v2.13
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