Blog of 125034
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2026-04-17 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟦0,3⟧ ∋ 4
⟨? ⋯ 6 (?+4) ⋯ 4 ⋯⟩ (?≠2)
⟨? 5 ⋯ (?+4) ⋯ 4 ⋯⟩ (?≠1)
⛔Avoid
⟨⋯ Perm(2,4,6) ⋯⟩
⟨⋯ 6 ⋯ 2 ⋯⟩
#125034_v2.12
2026-04-17 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after 5−⟨⋯⟩
⟨ ⁵ᵗʰ= ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ= ⟩ after 5−⟨⇌⟩
#125034_v2.12
2026-04-16 Q1(m=6,v=0)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁵ᵗʰa ⁴ᵗʰc ³ʳᵈb ⟩, a > b > c
⟨ ⁶ᵗʰa ⁴ᵗʰd ²ⁿᵈb ⁰ᵗʰc ⟩, a > b > c > d
⟨ ⁶ᵗʰb ⁵ᵗʰa ¹ˢᵗd ⁰ᵗʰc ⟩, a > b > c > d
⟨ ⁶ᵗʰb ³ʳᵈa ²ⁿᵈc ⁰ᵗʰd ⟩, a > b > c > d
⛔Avoid
⟨ ⁴ᵗʰc ³ʳᵈa ¹ˢᵗd ⁰ᵗʰb ⟩, a > b > c > d
#125034_v2.12
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