Blog of 125034
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
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2026-01-01 Q1(v=1)
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
4th → a, 2nd → b, |a-b|=1
4th → a, 3rd → b, |a-b|=4
2nd → a, 0th → b, |a-b|=1
⛔Avoid
⟨⋯ ᵃb ⋯⟩, |a-b|=3
⟨⋯ ᵃb ⋯⟩, |a-b|=0
#125034_v2.11
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2026-01-01 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ²ⁿᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 43
⟨ ⁵ᵗʰ= ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ= ⟩ after 5−⟨⇌⟩
4th → 1|4|5
5th → a, 2nd → b, ab=0
⛔Avoid
⟨ ³ʳᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 34
#125034_v2.11
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