Initial Problem
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₀: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₀ ∧ 0 < X₁
t₃: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 0
t₄: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 0
t₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₇, X₈, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₅: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l1(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₂
t₇: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ ≤ 0
t₈: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₂, X₃+1, X₆, X₇, X₈)
t₁₃: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₁₀: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 0
t₁₁: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ 0
t₉: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 0 < X₄ ∧ 0 < X₅
t₁₂: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → l7(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇, X₈)
Preprocessing
Eliminate variables {X₆} that do not contribute to the problem
Found invariant X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ for location l6
Found invariant X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l7
Found invariant X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l5
Found invariant X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location l8
Found invariant X₁ ≤ X₇ ∧ X₀ ≤ X₆ for location l1
Found invariant X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀ for location l4
Found invariant X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ for location l9
Found invariant 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location l3
Problem after Preprocessing
Start: l0
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: l0, l1, l2, l3, l4, l5, l6, l7, l8, l9
Transitions:
t₂₇: l0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 < X₀ ∧ 0 < X₁ ∧ X₁ ≤ X₇ ∧ X₀ ≤ X₆
t₂₉: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₀ ≤ X₆
t₃₀: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₁ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₀ ≤ X₆
t₃₁: l2(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₆, X₇, X₂, X₃, X₄, X₅, X₆, X₇)
t₃₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀
t₃₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 < X₂ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀
t₃₄: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ 0 ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀
t₃₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₂, X₃+1, X₆, X₇) :|: X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₃₆: l6(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l9(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀
t₃₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₄ ≤ 0 ∧ X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₃₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₅ ≤ 0 ∧ X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₃₉: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 < X₄ ∧ 0 < X₅ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
t₄₀: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇) :|: X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
MPRF for transition t₂₈: l1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 < X₀ ∧ 0 < X₁ ∧ X₁ ≤ X₇ ∧ X₀ ≤ X₆ of depth 1:
new bound:
X₇ {O(n)}
MPRF for transition t₃₂: l3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l1(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₇ {O(n)}
MPRF for transition t₃₇: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₄ ≤ 0 ∧ X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅X₆ {O(n)}
MPRF for transition t₃₈: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l4(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₅ ≤ 0 ∧ X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅X₆+2⋅X₇ {O(n)}
MPRF for transition t₃₉: l7(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 < X₄ ∧ 0 < X₅ ∧ X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅X₆+1 {O(n)}
MPRF for transition t₄₀: l8(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇) :|: X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ of depth 1:
new bound:
2⋅X₆ {O(n)}
knowledge_propagation leads to new time bound 2⋅X₆+2⋅X₇+1 {O(n)} for transition t₃₃: l4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 0 < X₂ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀
knowledge_propagation leads to new time bound 2⋅X₆+2⋅X₇+1 {O(n)} for transition t₃₅: l5(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → l7(X₀, X₁, X₂, X₃, X₂, X₃+1, X₆, X₇) :|: X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀
All Bounds
Timebounds
Overall timebound:12⋅X₆+8⋅X₇+9 {O(n)}
t₂₇: 1 {O(1)}
t₂₈: X₇ {O(n)}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₂: X₇ {O(n)}
t₃₃: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₄: 1 {O(1)}
t₃₅: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₆: 1 {O(1)}
t₃₇: 2⋅X₆ {O(n)}
t₃₈: 2⋅X₆+2⋅X₇ {O(n)}
t₃₉: 2⋅X₆+1 {O(n)}
t₄₀: 2⋅X₆ {O(n)}
Costbounds
Overall costbound: 12⋅X₆+8⋅X₇+9 {O(n)}
t₂₇: 1 {O(1)}
t₂₈: X₇ {O(n)}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₂: X₇ {O(n)}
t₃₃: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₄: 1 {O(1)}
t₃₅: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₆: 1 {O(1)}
t₃₇: 2⋅X₆ {O(n)}
t₃₈: 2⋅X₆+2⋅X₇ {O(n)}
t₃₉: 2⋅X₆+1 {O(n)}
t₄₀: 2⋅X₆ {O(n)}
Sizebounds
t₂₇, X₀: X₀ {O(n)}
t₂₇, X₁: X₁ {O(n)}
t₂₇, X₂: X₂ {O(n)}
t₂₇, X₃: X₃ {O(n)}
t₂₇, X₄: X₄ {O(n)}
t₂₇, X₅: X₅ {O(n)}
t₂₇, X₆: X₆ {O(n)}
t₂₇, X₇: X₇ {O(n)}
t₂₈, X₀: X₆ {O(n)}
t₂₈, X₁: X₇ {O(n)}
t₂₈, X₂: X₂ {O(n)}
t₂₈, X₃: X₃ {O(n)}
t₂₈, X₄: X₄ {O(n)}
t₂₈, X₅: X₅ {O(n)}
t₂₈, X₆: X₆ {O(n)}
t₂₈, X₇: X₇ {O(n)}
t₂₉, X₀: 2⋅X₆ {O(n)}
t₂₉, X₁: 2⋅X₇ {O(n)}
t₂₉, X₂: 2⋅X₆ {O(n)}
t₂₉, X₃: 2⋅X₇ {O(n)}
t₂₉, X₄: 2⋅X₄ {O(n)}
t₂₉, X₅: 2⋅X₅ {O(n)}
t₂₉, X₆: 2⋅X₆ {O(n)}
t₂₉, X₇: 2⋅X₇ {O(n)}
t₃₀, X₀: 2⋅X₆ {O(n)}
t₃₀, X₁: 2⋅X₇ {O(n)}
t₃₀, X₂: 2⋅X₆ {O(n)}
t₃₀, X₃: 2⋅X₇ {O(n)}
t₃₀, X₄: 2⋅X₄ {O(n)}
t₃₀, X₅: 2⋅X₅ {O(n)}
t₃₀, X₆: 2⋅X₆ {O(n)}
t₃₀, X₇: 2⋅X₇ {O(n)}
t₃₁, X₀: X₆ {O(n)}
t₃₁, X₁: X₇ {O(n)}
t₃₁, X₂: X₂ {O(n)}
t₃₁, X₃: X₃ {O(n)}
t₃₁, X₄: X₄ {O(n)}
t₃₁, X₅: X₅ {O(n)}
t₃₁, X₆: X₆ {O(n)}
t₃₁, X₇: X₇ {O(n)}
t₃₂, X₀: X₆ {O(n)}
t₃₂, X₁: X₇ {O(n)}
t₃₂, X₂: X₂ {O(n)}
t₃₂, X₃: X₃ {O(n)}
t₃₂, X₄: X₄ {O(n)}
t₃₂, X₅: X₅ {O(n)}
t₃₂, X₆: X₆ {O(n)}
t₃₂, X₇: X₇ {O(n)}
t₃₃, X₀: 2⋅X₆ {O(n)}
t₃₃, X₁: 2⋅X₇ {O(n)}
t₃₃, X₂: 2⋅X₆ {O(n)}
t₃₃, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₃, X₄: 2⋅X₄+4⋅X₆ {O(n)}
t₃₃, X₅: 2⋅X₅+4⋅X₆+8⋅X₇+2 {O(n)}
t₃₃, X₆: 2⋅X₆ {O(n)}
t₃₃, X₇: 2⋅X₇ {O(n)}
t₃₄, X₀: 8⋅X₆ {O(n)}
t₃₄, X₁: 8⋅X₇ {O(n)}
t₃₄, X₂: 6⋅X₆ {O(n)}
t₃₄, X₃: 12⋅X₇+4⋅X₆+2 {O(n)}
t₃₄, X₄: 4⋅X₄+4⋅X₆ {O(n)}
t₃₄, X₅: 12⋅X₇+4⋅X₅+6⋅X₆+3 {O(n)}
t₃₄, X₆: 8⋅X₆ {O(n)}
t₃₄, X₇: 8⋅X₇ {O(n)}
t₃₅, X₀: 2⋅X₆ {O(n)}
t₃₅, X₁: 2⋅X₇ {O(n)}
t₃₅, X₂: 2⋅X₆ {O(n)}
t₃₅, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₅, X₄: 2⋅X₆ {O(n)}
t₃₅, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₅, X₆: 2⋅X₆ {O(n)}
t₃₅, X₇: 2⋅X₇ {O(n)}
t₃₆, X₀: 8⋅X₆ {O(n)}
t₃₆, X₁: 8⋅X₇ {O(n)}
t₃₆, X₂: 6⋅X₆ {O(n)}
t₃₆, X₃: 12⋅X₇+4⋅X₆+2 {O(n)}
t₃₆, X₄: 4⋅X₄+4⋅X₆ {O(n)}
t₃₆, X₅: 12⋅X₇+4⋅X₅+6⋅X₆+3 {O(n)}
t₃₆, X₆: 8⋅X₆ {O(n)}
t₃₆, X₇: 8⋅X₇ {O(n)}
t₃₇, X₀: 2⋅X₆ {O(n)}
t₃₇, X₁: 2⋅X₇ {O(n)}
t₃₇, X₂: 0 {O(1)}
t₃₇, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₇, X₄: 0 {O(1)}
t₃₇, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₇, X₆: 2⋅X₆ {O(n)}
t₃₇, X₇: 2⋅X₇ {O(n)}
t₃₈, X₀: 2⋅X₆ {O(n)}
t₃₈, X₁: 2⋅X₇ {O(n)}
t₃₈, X₂: 2⋅X₆ {O(n)}
t₃₈, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₈, X₄: 4⋅X₆ {O(n)}
t₃₈, X₅: 4⋅X₆+8⋅X₇+2 {O(n)}
t₃₈, X₆: 2⋅X₆ {O(n)}
t₃₈, X₇: 2⋅X₇ {O(n)}
t₃₉, X₀: 2⋅X₆ {O(n)}
t₃₉, X₁: 2⋅X₇ {O(n)}
t₃₉, X₂: 2⋅X₆ {O(n)}
t₃₉, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₉, X₄: 2⋅X₆ {O(n)}
t₃₉, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₉, X₆: 2⋅X₆ {O(n)}
t₃₉, X₇: 2⋅X₇ {O(n)}
t₄₀, X₀: 2⋅X₆ {O(n)}
t₄₀, X₁: 2⋅X₇ {O(n)}
t₄₀, X₂: 2⋅X₆ {O(n)}
t₄₀, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₄₀, X₄: 2⋅X₆ {O(n)}
t₄₀, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₄₀, X₆: 2⋅X₆ {O(n)}
t₄₀, X₇: 2⋅X₇ {O(n)}