Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
6th → 3|4
⟨⋯ 1 ⋯ 5 ⋯ 2 ⋯⟩
median {p6, p4, p3} = 3
{p6, p5, p2, p0} = ? + {0,1,2,4}
⟨⋯ 4 ⋯ 0 ⋯ 5 ⋯⟩
#125034_v2.8
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.
2025-03-07 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
{p5, p4, p0} = ? + {0,1,3}
⟦3,4⟧ ∋ 0
min {p5, p3, p2} = 1
4th → a, 1st → b, |a-b|=5
⛔Avoid
{p4, p3, p0} = ? + {0,1,2}
#125034_v2.8
2025-03-06 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
max ⊢3⊣ = 4
max ⊢1⊣ = 5
⟨? ⋯ 2 ⋯ (?−2) ⋯⟩ (?≠2,4)
⟨ ²ⁿᵈ↓ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after 3×⟨←⟩
{p6, p4, p1, p0} = ? + {0,1,2,3}
#125034_v2.8
2025-03-06 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ 5 ⋯ ? ⋯ 2 (?+1)⟩ (?≠2,1)
Jump(1,2) ≥ 2
⟨ ⁵ᵗʰa ³ʳᵈc ²ⁿᵈb ⟩, a > b > c
#125034_v2.8
2025-03-04 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
5th → 3|4|5
⟨⋯ 0 ⋯ 1 ⋯ 2 ⋯⟩
⟨ ⁵ᵗʰa ³ʳᵈb ⟩, max⟦a,b⟧ = 5
⛔Avoid
⟨ ³ʳᵈa ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 21
⟨⋯ 5 ⋯ ? ⋯ 2 (?+3)⟩ (?≠2)
⟨⋯ ? ⋯ 3 ⋯ (?−2)⟩ (?≠3,5)
Jump(2,3) ≥ 1
#125034_v2.8
2025-03-04 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
3rd → a, 0th → b, ab=10
⟨⋯ Perm(1,3) ⋯⟩
6th → a, 0th → b, ab=3+6n
3rd → a, 2nd → b, ab=3+5n
⛔Avoid
3rd → a, 1st → b, a+b=3+5n
#125034_v2.8
2025-03-02 Q1(m=6)
Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
⟨⋯ 2 ⋯ a ⋯⟩, a = 0|1|3|6
5th → a, 1st → b, |a-b|=4
6th → 1|3|4
{p6, p4, p2, p0} = ? + {0,1,2,4}
⛔Avoid
⟨⋯ ? ⋯ 4 ⋯ (?−2)⟩ (?≠4,6)
⟨ ⁴ᵗʰa ¹ˢᵗb ⟩, min⟦a,b⟧ = 0
⟨⋯ Perm(0,2,3) ⋯⟩
#125034_v2.8
2025-03-02 WR
Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨5th 4th 3rd 2nd 1st 0th⟩
✅Match
0th → 0|1|2
⟨ ⁵ᵗʰa ²ⁿᵈb ⟩, min⟦a,b⟧ = 1
5th → a, 1st → b, a+b=3+5n
⟨? ⋯ 5 (?−2) ⋯ 1 ⋯⟩ (?≠5)
⛔Avoid
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after 5−⟨⋯⟩
#125034_v2.8
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