Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2026-08-30 Q1(m=6,v=0)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁶ᵗʰa ⁵ᵗʰb ¹ˢᵗc ⟩, (abc)₁₀ ≥ 542
⛔Avoid
⟨ ⁵ᵗʰa ³ʳᵈb ⟩, (ab)₁₀ ≥ 13
⟨ ²ⁿᵈa ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 503
⟨ ³ʳᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 36
⟨ ²ⁿᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 32
⟨ ³ʳᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 51
⟨ ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc ⟩, (abc)₁₀ ≥ 156
#125034_v2.14
2026-08-28 Q1(v=1)
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
Jump(1,5) = 0
Jump(2,4) = 0
⟨⋯ ᵃb ⋯⟩, ab=4
⛔Avoid
⟨⋯ ᵃb ⋯⟩, a+b=5
Jump(0,2) = 0
Jump(1,3) = 3
#125034_v2.14
2026-08-28 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
5th → a, 0th → b, a+b=4+5n
3rd → a, 0th → b, a+b=4+5n
⛔Avoid
⟨⋯ ᵃb ⋯⟩, |a-b|=1
⟨? ⋯ 5 (?+2) ⋯ 2 ⋯⟩ (?≠3)
#125034_v2.14
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