Blog of 125034
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2026-09-17 Q1(m=6,v=1)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
2 ∾ 3 ∾ 5 ∾ 6
0 ∾ 1
⟨ ▧ ▧ ▧ ▢ − − − ⟩, Σ▧ ≤ ▢
⟨ − − − ▧ ▢ ▢ − ⟩, ▧ ≤ Σ▢
⛔Avoid
1 ∾ 5
⟨ ▧ ▧ ▢ ▢ − − − ⟩, Σ▧ ≥ Σ▢
#125034_v2.14
2026-09-17 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟦0,2⟧ ∋ 3
Jump(2,5) = 0
⛔Avoid
⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc ⟩, (abc)₁₀ ≤ 351
⟨ − ▧ ▧ − − ▢ ⟩, Σ▧ ≥ ▢
⟨? ⋯ 1 ⋯ (?−4) ⋯⟩ (?≠5)
⟨? 2 ⋯ (?−2) ⋯ 4 ⋯⟩ (?≠2,4)
⟨⋯ ? ⋯ 2 ⋯ (?+2)⟩ (?≠2,0)
#125034_v2.14
2026-09-15 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
⟨⋯ Perm(0,1) ⋯⟩
⛔Avoid
⟨⋯ ᵃb ⋯⟩, |a-b|=0
⟨⋯ 3 ⋯ a ⋯⟩, a = 0|1|2|5
#125034_v2.14
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