Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ Perm(1,2,5) ⋯⟩
⟨⋯ Perm(0,3,4) ⋯⟩
⟨⋯ Perm(5,6) ⋯⟩
⛔Avoid
Jump(2,3) ≥ 2
⟨ ⁶ᵗʰa ⁵ᵗʰb ³ʳᵈc ⟩, a > b > c
3rd|1st → 2
max {p5, p4} = 3
#125034_v2.8
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2025-04-06 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ 2 ⋯ ? ⋯ 5 (?+2)⟩ (?≠3)
4th → a, 0th → b, a+b=2+5n
5th → a, 0th → b, |a-b|=4
⛔Avoid
⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)
#125034_v2.8
2025-04-04 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
3rd → 0|1|4
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ= ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
⟨ ³ʳᵈa ⁰ᵗʰb ⟩, min⟦a,b⟧ = 1
{p5, p4, p2} = ? + {0,1,3}
#125034_v2.8
2025-04-04 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ Perm(0,3,5) ⋯⟩
3rd → a, 0th → b, a+b=2+5n
⛔Avoid
Jump(0,2) = 0
0th → 3
⟨⋯ a ⋯ 2 ⋯⟩, a = 1|4|5
⟨? ⋯ 5 ⋯ (?−2) ⋯⟩ (?≠5)
#125034_v2.8
2025-04-03 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
4th → 3
⟨ ⁵ᵗʰb ³ʳᵈa ²ⁿᵈc ⟩, a > b > c
⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc ⟩, (abc)₁₀ ≥ 436
⛔Avoid
⟨⋯ 6 ⋯ 1 ⋯⟩
4th → a, 0th → b, a+b=3+5n
⟨⋯ 1 ⋯ ? ⋯ 0 (?−4)⟩ (?≠4)
6th|5th|3rd|2nd|0th → 0
#125034_v2.8
2025-04-03 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨ ⁵ᵗʰc ⁴ᵗʰa ²ⁿᵈb ⟩, a > b > c
2nd → a, 1st → b, ab=1+4n
⟦3,4⟧ ∋ 1,5
⛔Avoid
⟨⋯ Perm(0,2,3) ⋯⟩
⟨⋯ 0 ⋯ ? 2 ⋯ (?+3)⟩ (?≠2)
#125034_v2.8
2025-04-01 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ2 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ1 ⁰ᵗʰ3 ⟩ ≤ 1
min ⊢4⊣ ≤ 1
⟨⋯ 0 ⋯ a ⋯⟩, a = 2|3
5th → 0|2|4
⟨ ⁴ᵗʰa ¹ˢᵗb ⟩, max⟦a,b⟧ = 5
⛔Avoid
{p4, p1, p0} = ? + {0,1,2}
⟨? 5 ⋯ (?+1) ⋯ 1 ⋯⟩ (?≠4)
1st → a, 0th → b, |a-b|=2
Jump(3,4) ≥ 2
max ⊢4⊣ = 4
#125034_v2.8
2025-04-01 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ0 ⁴ᵗʰ6 ³ʳᵈ3 ²ⁿᵈ5 ¹ˢᵗ4 ⁰ᵗʰ1 ⟩ = 2
{p6, p4, p3} = ? + {0,1,2}
⟦2,4⟧ ∋ 1,3
{p6, p5, p3, p0} = ? + {0,1,2,3}
⛔Avoid
⟨⋯ 5 ⋯ ? ⋯ 6 (?−1)⟩ (?≠6)
#125034_v2.8
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