Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2025-08-31 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
median {p6, p2, p0} = 2
⟨ − − ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⟨? 3 ⋯ (?+3) ⋯ 2 ⋯⟩ (?≠3,0)
Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ2 ⁴ᵗʰ4 ³ʳᵈ5 ²ⁿᵈ3 ¹ˢᵗ6 ⁰ᵗʰ0 ⟩ ≥ 2
⛔Avoid
⟨ ⁵ᵗʰa ²ⁿᵈb ⟩, max⟦a,b⟧ = 5
4th → a, 3rd → b, a+b=0+4n
#125034_v2.10
2025-08-29 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨ ⁵ᵗʰa ³ʳᵈb ¹ˢᵗc ⟩, (abc)₁₀ ≥ 530
Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ6 ⁴ᵗʰ3 ³ʳᵈ4 ²ⁿᵈ0 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ = 3
⛔Avoid
Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ5 ⁴ᵗʰ4 ³ʳᵈ3 ²ⁿᵈ6 ¹ˢᵗ2 ⁰ᵗʰ0 ⟩ = 0
⟨ − ▧ ▧ − − ▢ ▢ ⟩, Σ▧ ≥ Σ▢
⟨ ▧ ▧ − − − ▢ ▢ ⟩, Σ▧ ≤ Σ▢
#125034_v2.10
2025-08-29 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
3rd → 0|2|3
⟨⋯ Perm(1,2) ⋯⟩
⟨ − ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≥ Σ▢
min ⊢4⊣ = 2
⛔Avoid
5th → a, 4th → b, |a-b|=1
⟨ ³ʳᵈb ²ⁿᵈa ⁰ᵗʰc ⟩, a > b > c
#125034_v2.10
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