Initial Problem

Start: eval_aaron3_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉
Temp_Vars: nondef.0, nondef.1
Locations: eval_aaron3_0, eval_aaron3_1, eval_aaron3_3, eval_aaron3_4, eval_aaron3_bb0_in, eval_aaron3_bb1_in, eval_aaron3_bb2_in, eval_aaron3_bb3_in, eval_aaron3_bb4_in, eval_aaron3_bb5_in, eval_aaron3_start, eval_aaron3_stop
Transitions:
t₆: eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆, X₇, X₈, X₉)
t₇: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1 ≤ X₃
t₈: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₃ ≤ 0
t₁₁: eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, nondef.1, X₆, X₇, X₈, X₉)
t₁₃: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb1_in(X₅, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₅ ≤ X₀+X₄
t₁₂: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀+X₄ ≤ X₅
t₁: eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb1_in(X₇, X₈, X₉, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₂: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: X₁ ≤ X₀
t₃: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) :|: 1+X₀ ≤ X₁
t₄: eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₉: eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_3(X₀, X₁, X₂, X₃, X₂-1, X₅, X₆, X₇, X₈, X₉)
t₁₄: eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb1_in(X₀, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₁₅: eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)
t₀: eval_aaron3_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉) → eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉)

Preprocessing

Eliminate variables [X₆] that do not contribute to the problem

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_3

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb1_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb5_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_bb3_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb4_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_stop

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_0

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_1

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_bb2_in

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_4

Problem after Preprocessing

Start: eval_aaron3_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars: nondef.0, nondef.1
Locations: eval_aaron3_0, eval_aaron3_1, eval_aaron3_3, eval_aaron3_4, eval_aaron3_bb0_in, eval_aaron3_bb1_in, eval_aaron3_bb2_in, eval_aaron3_bb3_in, eval_aaron3_bb4_in, eval_aaron3_bb5_in, eval_aaron3_start, eval_aaron3_stop
Transitions:
t₂₉: eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_1(X₀, X₁, X₂, nondef.0, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₀: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₁: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₃ ≤ 0 ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₂: eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, nondef.1, X₆, X₇, X₈) :|: X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₃: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₅, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₀+X₄ ∧ X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₄: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀+X₄ ≤ X₅ ∧ X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₅: eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₆, X₇, X₈, X₃, X₄, X₅, X₆, X₇, X₈)
t₃₆: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₇: eval_aaron3_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1+X₀ ≤ X₁ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₈: eval_aaron3_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_0(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₃₉: eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_3(X₀, X₁, X₂, X₃, X₂-1, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₄₀: eval_aaron3_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₀, 1+X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ ∧ X₃ ≤ 0
t₄₁: eval_aaron3_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₇ ≤ X₁ ∧ X₂ ≤ X₈
t₄₂: eval_aaron3_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

MPRF for transition t₃₀: eval_aaron3_1(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}

• eval_aaron3_0: [X₂; X₀-X₇]
• eval_aaron3_1: [X₂; X₀-X₇]
• eval_aaron3_3: [X₂-1; X₀+X₂-1-X₇]
• eval_aaron3_4: [X₄; X₀+X₂-1-X₇]
• eval_aaron3_bb1_in: [X₂; X₀-X₇]
• eval_aaron3_bb2_in: [X₂; X₀-X₇]
• eval_aaron3_bb3_in: [X₂-1; X₀+X₂-1-X₇]
• eval_aaron3_bb4_in: [X₂; X₀-X₇]

MPRF for transition t₃₂: eval_aaron3_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, nondef.1, X₆, X₇, X₈) :|: X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}

• eval_aaron3_0: [1+X₂; X₀-X₇]
• eval_aaron3_1: [1+X₂; X₀-X₇]
• eval_aaron3_3: [1+X₂; X₀-X₇]
• eval_aaron3_4: [1+X₄; X₀+X₂-X₇]
• eval_aaron3_bb1_in: [1+X₂; X₀-X₇]
• eval_aaron3_bb2_in: [1+X₂; X₀-X₇]
• eval_aaron3_bb3_in: [1+X₂; X₀-X₇]
• eval_aaron3_bb4_in: [1+X₂; X₀-X₇]

MPRF for transition t₃₃: eval_aaron3_4(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_bb1_in(X₅, X₁, X₄, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ X₀+X₄ ∧ X₂ ≤ 1+X₄ ∧ 1+X₄ ≤ X₂ ∧ 1 ≤ X₃ ∧ 1+X₄ ≤ X₈ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}

• eval_aaron3_0: [X₂; X₀-X₇]
• eval_aaron3_1: [X₂; X₀-X₇]
• eval_aaron3_3: [X₂; X₀-X₇]
• eval_aaron3_4: [X₂; X₀-X₇]
• eval_aaron3_bb1_in: [X₂; X₀-X₇]
• eval_aaron3_bb2_in: [X₂; X₀-X₇]
• eval_aaron3_bb3_in: [X₂; X₀-X₇]
• eval_aaron3_bb4_in: [X₂; X₀-X₇]

MPRF for transition t₃₉: eval_aaron3_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_aaron3_3(X₀, X₁, X₂, X₃, X₂-1, X₅, X₆, X₇, X₈) :|: 1 ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₇ ≤ X₀ ∧ X₇ ≤ X₁ ∧ X₂ ≤ X₈ of depth 2:

new bound:

8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}

• eval_aaron3_0: [X₂; X₀-X₇]
• eval_aaron3_1: [X₂; X₀-X₇]
• eval_aaron3_3: [X₄; X₀+X₄-X₇]
• eval_aaron3_4: [X₄; X₀+X₄-X₇]
• eval_aaron3_bb1_in: [X₂; X₀-X₇]
• eval_aaron3_bb2_in: [X₂; X₀-X₇]
• eval_aaron3_bb3_in: [X₂; X₀-X₇]
• eval_aaron3_bb4_in: [X₂; X₀-X₇]

Cut unreachable locations [eval_aaron3_1] from the program graph

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb5_in

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_bb3_in

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_1_v2

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_stop

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ 1+X₀ for location eval_aaron3_bb1_in_v1

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_bb2_in_v1

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_0_v2

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_3

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ for location eval_aaron3_bb1_in

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb4_in_v2

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_0_v1

Found invariant X₂ ≤ X₈ ∧ 1+X₇ ≤ X₁ ∧ 1+X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb2_in_v2

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₁ ≤ X₀ for location eval_aaron3_1_v1

Found invariant X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ X₃ ≤ 0 ∧ X₁ ≤ X₀ for location eval_aaron3_bb4_in_v1

Found invariant 1+X₄ ≤ X₈ ∧ X₂ ≤ X₈ ∧ X₇ ≤ X₁ ∧ X₇ ≤ X₀ ∧ 1+X₄ ≤ X₂ ∧ X₂ ≤ 1+X₄ ∧ 1 ≤ X₃ ∧ X₁ ≤ X₀ for location eval_aaron3_4

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₂₉: inf {Infinity}
t₃₀: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₃₁: inf {Infinity}
t₃₂: 8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}
t₃₃: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₃₄: 1 {O(1)}
t₃₅: 1 {O(1)}
t₃₆: inf {Infinity}
t₃₇: 1 {O(1)}
t₃₈: inf {Infinity}
t₃₉: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₄₀: inf {Infinity}
t₄₁: 1 {O(1)}
t₄₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₂₉: inf {Infinity}
t₃₀: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₃₁: inf {Infinity}
t₃₂: 8⋅X₆+8⋅X₇+8⋅X₈+9 {O(n)}
t₃₃: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₃₄: 1 {O(1)}
t₃₅: 1 {O(1)}
t₃₆: inf {Infinity}
t₃₇: 1 {O(1)}
t₃₈: inf {Infinity}
t₃₉: 8⋅X₆+8⋅X₇+8⋅X₈+1 {O(n)}
t₄₀: inf {Infinity}
t₄₁: 1 {O(1)}
t₄₂: 1 {O(1)}

Sizebounds

t₂₉, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₂₉, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₂₉, X₆: X₆ {O(n)}
t₂₉, X₇: X₇ {O(n)}
t₂₉, X₈: X₈ {O(n)}
t₃₀, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₀, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₃₀, X₆: X₆ {O(n)}
t₃₀, X₇: X₇ {O(n)}
t₃₀, X₈: X₈ {O(n)}
t₃₁, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₁, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₃₁, X₆: X₆ {O(n)}
t₃₁, X₇: X₇ {O(n)}
t₃₁, X₈: X₈ {O(n)}
t₃₂, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₂, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₃₂, X₆: X₆ {O(n)}
t₃₂, X₇: X₇ {O(n)}
t₃₂, X₈: X₈ {O(n)}
t₃₃, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₃, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₃₃, X₆: X₆ {O(n)}
t₃₃, X₇: X₇ {O(n)}
t₃₃, X₈: X₈ {O(n)}
t₃₄, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₄, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₃₄, X₆: X₆ {O(n)}
t₃₄, X₇: X₇ {O(n)}
t₃₄, X₈: X₈ {O(n)}
t₃₅, X₀: X₆ {O(n)}
t₃₅, X₁: X₇ {O(n)}
t₃₅, X₂: X₈ {O(n)}
t₃₅, X₃: X₃ {O(n)}
t₃₅, X₄: X₄ {O(n)}
t₃₅, X₅: X₅ {O(n)}
t₃₅, X₆: X₆ {O(n)}
t₃₅, X₇: X₇ {O(n)}
t₃₅, X₈: X₈ {O(n)}
t₃₆, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₆, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₃₆, X₆: X₆ {O(n)}
t₃₆, X₇: X₇ {O(n)}
t₃₆, X₈: X₈ {O(n)}
t₃₇, X₂: 16⋅X₆+16⋅X₇+19⋅X₈+2 {O(n)}
t₃₇, X₄: 16⋅X₆+16⋅X₇+18⋅X₈+2⋅X₄+4 {O(n)}
t₃₇, X₆: 3⋅X₆ {O(n)}
t₃₇, X₇: 3⋅X₇ {O(n)}
t₃₇, X₈: 3⋅X₈ {O(n)}
t₃₈, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₈, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₃₈, X₆: X₆ {O(n)}
t₃₈, X₇: X₇ {O(n)}
t₃₈, X₈: X₈ {O(n)}
t₃₉, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₃₉, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+2 {O(n)}
t₃₉, X₆: X₆ {O(n)}
t₃₉, X₇: X₇ {O(n)}
t₃₉, X₈: X₈ {O(n)}
t₄₀, X₂: 8⋅X₆+8⋅X₇+9⋅X₈+1 {O(n)}
t₄₀, X₄: 8⋅X₆+8⋅X₇+9⋅X₈+X₄+2 {O(n)}
t₄₀, X₆: X₆ {O(n)}
t₄₀, X₇: X₇ {O(n)}
t₄₀, X₈: X₈ {O(n)}
t₄₁, X₂: 24⋅X₆+24⋅X₇+28⋅X₈+3 {O(n)}
t₄₁, X₄: 2⋅X₄+24⋅X₆+24⋅X₇+27⋅X₈+6 {O(n)}
t₄₁, X₆: 4⋅X₆ {O(n)}
t₄₁, X₇: 4⋅X₇ {O(n)}
t₄₁, X₈: 4⋅X₈ {O(n)}
t₄₂, X₀: X₀ {O(n)}
t₄₂, X₁: X₁ {O(n)}
t₄₂, X₂: X₂ {O(n)}
t₄₂, X₃: X₃ {O(n)}
t₄₂, X₄: X₄ {O(n)}
t₄₂, X₅: X₅ {O(n)}
t₄₂, X₆: X₆ {O(n)}
t₄₂, X₇: X₇ {O(n)}
t₄₂, X₈: X₈ {O(n)}