Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef_0
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₀-1, X₄, X₅, X₆)
t₁₁: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, nondef_0, X₅, X₆)
t₁₄: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₃, X₁+1, X₂, X₃, X₄, X₅, X₆)
t₁₅: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₂
t₁₆: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₃, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0
t₁₈: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₇: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆)
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₅, X₆, X₂, X₃, X₄, X₅, X₆)
t₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0
t₁₂: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₄
t₁₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0
Preprocessing
Found invariant 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ for location l11
Found invariant 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l15
Found invariant 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ for location l12
Found invariant 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ for location l13
Found invariant X₀ ≤ X₅ for location l8
Found invariant 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₀ for location l10
Found invariant X₀ ≤ X₅ ∧ X₀ ≤ 0 for location l16
Found invariant 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ for location l9
Found invariant X₀ ≤ X₅ ∧ X₀ ≤ 0 for location l14
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef_0
Locations: l0, l1, l10, l11, l12, l13, l14, l15, l16, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₀-1, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₀
t₁₁: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, nondef_0, X₅, X₆) :|: 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀
t₁₄: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₃, X₁+1, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀
t₁₅: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₂ ∧ 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀
t₁₆: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₃, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀
t₁₈: l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l16(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ X₅ ∧ X₀ ≤ 0
t₁₇: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₅, X₆, X₂, X₃, X₄, X₅, X₆)
t₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀ ∧ X₀ ≤ X₅
t₉: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l14(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₀ ≤ 0 ∧ X₀ ≤ X₅
t₁₂: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀
t₁₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0 ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀
MPRF for transition t₈: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₀ ∧ X₀ ≤ X₅ of depth 1:
new bound:
X₅ {O(n)}
MPRF for transition t₁₀: l10(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l11(X₀, X₁, X₂, X₀-1, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₅ {O(n)}
MPRF for transition t₁₁: l11(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l9(X₀, X₁, X₂, X₃, nondef_0, X₅, X₆) :|: 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₅ {O(n)}
MPRF for transition t₁₂: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₅ {O(n)}
MPRF for transition t₁₃: l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₁, X₃, X₄, X₅, X₆) :|: X₄ ≤ 0 ∧ 1 ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₅ {O(n)}
MPRF for transition t₁₄: l12(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₃, X₁+1, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₅ {O(n)}
MPRF for transition t₁₅: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 < X₂ ∧ 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅X₅+X₆ {O(n)}
MPRF for transition t₁₆: l13(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l8(X₃, X₂, X₂, X₃, X₄, X₅, X₆) :|: X₂ ≤ 0 ∧ 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅X₅+1 {O(n)}
MPRF for transition t₁₇: l15(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → l13(X₀, X₁, X₂-1, X₃, X₄, X₅, X₆) :|: 1 ≤ X₅ ∧ 1+X₄ ≤ X₅ ∧ 1 ≤ X₃+X₅ ∧ 1+X₃ ≤ X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₀ ≤ X₅ ∧ X₄ ≤ 0 ∧ X₄ ≤ X₃ ∧ 1+X₄ ≤ X₂ ∧ 1+X₄ ≤ X₁ ∧ 1+X₄ ≤ X₀ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₅+X₆ {O(n)}
All Bounds
Timebounds
Overall timebound:11⋅X₅+2⋅X₆+11 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: X₅ {O(n)}
t₉: 1 {O(1)}
t₁₀: X₅ {O(n)}
t₁₁: X₅ {O(n)}
t₁₂: X₅ {O(n)}
t₁₃: X₅ {O(n)}
t₁₄: X₅ {O(n)}
t₁₅: 2⋅X₅+X₆ {O(n)}
t₁₆: 2⋅X₅+1 {O(n)}
t₁₇: X₅+X₆ {O(n)}
t₁₈: 1 {O(1)}
Costbounds
Overall costbound: 11⋅X₅+2⋅X₆+11 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: 1 {O(1)}
t₇: 1 {O(1)}
t₈: X₅ {O(n)}
t₉: 1 {O(1)}
t₁₀: X₅ {O(n)}
t₁₁: X₅ {O(n)}
t₁₂: X₅ {O(n)}
t₁₃: X₅ {O(n)}
t₁₄: X₅ {O(n)}
t₁₅: 2⋅X₅+X₆ {O(n)}
t₁₆: 2⋅X₅+1 {O(n)}
t₁₇: X₅+X₆ {O(n)}
t₁₈: 1 {O(1)}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₆ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₆ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₃, X₅: X₅ {O(n)}
t₃, X₆: X₆ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₆ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₆ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₁ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₆, X₅: X₅ {O(n)}
t₆, X₆: X₆ {O(n)}
t₇, X₀: X₅ {O(n)}
t₇, X₁: X₆ {O(n)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₆ {O(n)}
t₈, X₀: X₅ {O(n)}
t₈, X₁: X₅+X₆ {O(n)}
t₈, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₈, X₃: 3⋅X₅+X₃ {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₆ {O(n)}
t₉, X₀: 3⋅X₅ {O(n)}
t₉, X₁: 2⋅X₅+3⋅X₆ {O(n)}
t₉, X₂: 2⋅X₂+4⋅X₅+4⋅X₆ {O(n)}
t₉, X₃: 3⋅X₅+X₃ {O(n)}
t₉, X₅: 3⋅X₅ {O(n)}
t₉, X₆: 3⋅X₆ {O(n)}
t₁₀, X₀: X₅ {O(n)}
t₁₀, X₁: X₅+X₆ {O(n)}
t₁₀, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₀, X₃: X₅ {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₆ {O(n)}
t₁₁, X₀: X₅ {O(n)}
t₁₁, X₁: X₅+X₆ {O(n)}
t₁₁, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₁, X₃: X₅ {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₆ {O(n)}
t₁₂, X₀: X₅ {O(n)}
t₁₂, X₁: X₅+X₆ {O(n)}
t₁₂, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₂, X₃: X₅ {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₂, X₆: X₆ {O(n)}
t₁₃, X₀: X₅ {O(n)}
t₁₃, X₁: X₅+X₆ {O(n)}
t₁₃, X₂: X₅+X₆ {O(n)}
t₁₃, X₃: X₅ {O(n)}
t₁₃, X₅: X₅ {O(n)}
t₁₃, X₆: X₆ {O(n)}
t₁₄, X₀: X₅ {O(n)}
t₁₄, X₁: X₅+X₆ {O(n)}
t₁₄, X₂: 2⋅X₅+2⋅X₆+X₂ {O(n)}
t₁₄, X₃: X₅ {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₆ {O(n)}
t₁₅, X₀: X₅ {O(n)}
t₁₅, X₁: X₅+X₆ {O(n)}
t₁₅, X₂: X₅+X₆ {O(n)}
t₁₅, X₃: X₅ {O(n)}
t₁₅, X₅: X₅ {O(n)}
t₁₅, X₆: X₆ {O(n)}
t₁₆, X₀: X₅ {O(n)}
t₁₆, X₁: X₅+X₆ {O(n)}
t₁₆, X₂: 2⋅X₅+2⋅X₆ {O(n)}
t₁₆, X₃: 2⋅X₅ {O(n)}
t₁₆, X₅: X₅ {O(n)}
t₁₆, X₆: X₆ {O(n)}
t₁₇, X₀: X₅ {O(n)}
t₁₇, X₁: X₅+X₆ {O(n)}
t₁₇, X₂: X₅+X₆ {O(n)}
t₁₇, X₃: X₅ {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₆ {O(n)}
t₁₈, X₀: 3⋅X₅ {O(n)}
t₁₈, X₁: 2⋅X₅+3⋅X₆ {O(n)}
t₁₈, X₂: 2⋅X₂+4⋅X₅+4⋅X₆ {O(n)}
t₁₈, X₃: 3⋅X₅+X₃ {O(n)}
t₁₈, X₅: 3⋅X₅ {O(n)}
t₁₈, X₆: 3⋅X₆ {O(n)}