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- Sort 15 into Tuples of Three: 5
- ABC, DEF, GHI, JKL, MNO (sorted light to heavy)
- Candidates for 15 (heaviest): CFILO
- Candidates for 14: BCEFHIKLNO
- Candidates for 2: ABDEGHJKMN
- Candidates for 1: ADGJM
- Found: none
- Sort CFI to PQR: 6
- AB, DE, GH, JKL, MNO, PQR
- Candidates for 15 (heaviest): LOR
- Candidates for 14: BEHKLNOQR
- Candidates for 2: ABDEGHJKMN
- Candidates for 1: ADGJM
- Found: none
- Sort LOR to STU: 7
- AB, DE, GH, JK, MN, PQ, STU
- Candidates for 15 (heaviest): U
- Candidates for 14: BEHKNQT
- Candidates for 13: AB, DE, GH, JK, MN, PQ, ST
- Candidates for 2: ABDEGHJKMN
- Candidates for 1: ADGJM
- Found: 15
- Sort ADG to VWX: 8
- B, E, H, JK, MN, PQ, ST, VWX
- Candidates for 14: BEHKNQT
- Candidates for 13: B, E, H, JK, MN, PQ, ST, WX
- Candidates for 2: BEHJKMNVW
- Candidates for 1: JMV
- Found: 15
- Sort JMV to YZα: 9
- B, E, H, K, N, PQ, STU, WX, YZα
- Candidates for 14: BEHKNQT
- Candidates for 13: B, E, H, K, N, PQ, ST, WX Zα
- Candidates for 3: B, E, H, K, N, PQ, ST, WX, Zα
- Candidates for 2: BEHKNWZ
- Candidates for 1: Y
- Found: 1,15
- Sort BEH to βγδ: 10
- K, N, PQ, ST, WX, Zα, βγδ
- Candidates for 14: KNQTδ
- Candidates for 13: K, N, PQ, ST, WX Zα γδ
- Candidates for 3: K, N, PQ, ST, WX, Zα βγ
- Candidates for 2: KNWZβ
- Found: 1,15
- Sort KNQ to εζη: 11
- P, ST, WX, Zα, βγδ, εζη
- Candidates for 14: Tδη
- Candidates for 13: P, ST, WX Zα γδ ζη
- Candidates for 3: P, ST, WX, Zα βγ εζ
- Candidates for 2: WZβε
- Found: 1,15
- Sort Tδη to θικ: 12
- P, S, WX, Zα, βγ, εζ, θικ
- Candidates for 14: κ
- Candidates for 13: P, S, WX Zα γ ζ ι
- Candidates for 12: P, S, WX, Zα, βγ, εζ, θι
- Candidates for 3: P, S, WX, Zα βγ εζ
- Candidates for 2: WZβε
- Found: 1, 14, 15
- Sort WZβ to λμν: 13
- P, S, X, α, γ, εζ, θι, λμν
- Candidates for 13: P, S, X α γ ζ θι ν
- Candidates for 12: P, S, X, α, γ, εζ, ι μν
- Candidates for 3: P, S, X, α γ εζ λμ
- Candidates for 2: ελ
- Found: 1, 14, 15
- Sort Pελ to ξπρ: 14
- S, X, α, γ, ζ, θι, μν, ξπρ
- Candidates for 13: S, X α γ ζ ι ν ρ
- Candidates for 12: S, X, α, γ, ζ, θι μν πρ
- Candidates for 4: S, X, α, γ, ζ, θ, μν, πρ
- Candidates for 3: S, X, α γ ζ μ, π
- Candidates for 2: ξ
- Found: 1, 2, 14, 15
- Sort SXα to στυ: 15
- γ, ζ, θι, μν, πρ, στυ
- Candidates for 13: γ ζ ι ν ρ υ
- Candidates for 12: γ, ζ, θι μν πρ τυ
- Candidates for 4: γ, ζ, θ, μν, πρ στ
- Candidates for 3: γ ζ μ π σ
- Found: 1, 2, 14, 15
- Sort γζι to φχψ: 16
- θ, μν, πρ, στυ, φχψ
- Candidates for 13: ν ρ υ ψ
- Candidates for 12: θ μν πρ τυ χψ
- Candidates for 4: θ, μν, πρ στ φχ
- Candidates for 3: μ, π σ φ
- Found: 1, 2, 14, 15
- Sort νρυ to ωAB: 17
- θ, μ, π, στ, φχψ, ωAB
- Candidates for 13: ψ B
- Candidates for 12: θ μ π τ χψ AB
- Candidates for 4: θ, μ, π στ φχ ωA
- Candidates for 3: μ, π σ φ
- Found: 1, 2, 14, 15
- Sort θψB to CDE: 18
- μ, π, στ, φχ, ωA, CDE
- Candidates for 13: E
- Candidates for 12: μ π τ χ A D
- Candidates for 11: μ, π, στ, φχ, ωA, CD
- Candidates for 4: μ, π στ φχ ωA C
- Candidates for 3: μ, π σ φ
- Found: 1, 2, 13, 14, 15
- Sort μπσ to FGH: 19
- τ, φχ, ωA, CD, FGH
- Candidates for 12: τ χ A D H
- Candidates for 11: τ, φχ, ωA, CD GH
- Candidates for 4: τ φχ ωA C FG
- Candidates for 3: φ F
- Found: 1, 2, 13, 14, 15
- Sort τφF to IJK: 20
- χ, ωA, CD, GH, IJK
- Candidates for 12: χ A D H K
- Candidates for 11: χ, ωA, CD GH JK
- Candidates for 5: χ, ωA, CD, GH, JK
- Candidates for 4: χ ωA C G J
- Candidates for 3: I
- Found: 1, 2, 3, 13, 14, 15
- Sort χAD to LMN: 21
- ω, C, GH, JK, LMN
- Candidates for 12: H K N
- Candidates for 11: ω, C GH JK MN
- Candidates for 5: ω, C, GH, JK LM
- Candidates for 4: ω C G J L
- Found: 1, 2, 3, 13, 14, 15
- Sort HKN to OPQ: 22
- ω, C, G, J, LM, OPQ
- Candidates for 12: Q
- Candidates for 11: ω, C G J M P
- Candidates for 10: ω, C, G, J, LM OP
- Candidates for 5: ω, C, G, J LM O
- Candidates for 4: ω C G J L
- Found: 1, 2, 3, 12, 13, 14, 15
- Sort ωCG to RST: 23
- J, LM, OP, RST
- Candidates for 11: J M P T
- Candidates for 10: J, LM OP ST
- Candidates for 5: J LM O RS
- Candidates for 4: J L R
- Found: 1, 2, 3, 12, 13, 14, 15
- Sort JLR to UVW: 24
- M, OP, ST, UVW
- Candidates for 11: M P T W
- Candidates for 10: M OP ST VW
- Candidates for 6: M, OP, ST, VW
- Candidates for 5: M O S V
- Candidates for 4: U
- Found: 1, 2, 3, 4, 12, 13, 14, 15
- Sort MPT to XYZ: 25
- O, S, VW, XYZ
- Candidates for 11: W Z
- Candidates for 10: O S VW YZ
- Candidates for 6: O, S, VW XY
- Candidates for 5: O S V X
- Found: 1, 2, 3, 4, 12, 13, 14, 15
- Sort OWZ to αβγ: 26
- S, V, XY, αβγ
- Candidates for 11: γ
- Candidates for 10: S V Y β
- Candidates for 9: S, V, XY, αβ
- Candidates for 6: S, V XY αβ
- Candidates for 5: S V X α
- Found: 1, 2, 3, 4, 11, 12, 13, 14, 15
- Sort SVX to δεζ: 27
- Y, αβ, δεζ
- Candidates for 10: Y β ζ
- Candidates for 9: Y, αβ εζ
- Candidates for 6: Y αβ δε
- Candidates for 5: α δ
- Found: 1, 2, 3, 4, 11, 12, 13, 14, 15
- Sort Yαδ to ηθι: 28
- β, εζ, ηθι
- Candidates for 10: β ζ ι
- Candidates for 9: β εζ θι
- Candidates for 7: β, εζ, θι
- Candidates for 6: β ε θ
- Candidates for 5: η
- Found: 1, 2, 3, 4, 5, 11, 12, 13, 14, 15
- Sort βζι to κλμ: 29
- ε, θ, κλμ
- Candidates for 10: μ
- Candidates for 9: ε θ λμ
- Candidates for 8: ε, θ, κλ
- Candidates for 7: ε, θ κλ
- Candidates for 6: ε θ κ
- Found: 1, 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, 15
- Sort εθκ to νξπ: 30
- λ, ξπ
- Candidates for 9: λ π
- Candidates for 8: λ ξπ
- Candidates for 7: λ ξ
- Candidates for 6: ν
- Found: 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15
- Sort λξπ to ρστ: 31
- Candidates for 9: τ
- Candidates for 8: σ
- Candidates for 7: ρ
- Found: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
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