WORST_CASE(?,O(1))
* Step 1: RestrictVarsProcessor WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f422(3,43690,3,Q1,0,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 True (1,1)
,O1,P1)
1. f422(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f422(A,B,Q1,R1,1 + E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1[149 >= E] (?,1)
,O1,P1)
2. f437(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f441(A,B,C,D,E,F,0,0,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1 [49 >= F] (?,1)
,P1)
3. f441(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f441(A,B,C,D,E,F,Q1,1 + H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 [49 >= H] (?,1)
,O1,P1)
4. f455(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f461(A,B,C,D,E,F,G,H,I,0,0,Q1,0,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1 [99 >= I] (?,1)
,P1)
5. f461(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f461(A,B,C,D,E,F,G,H,I,Q1,R1,S1,2 + M,T1,U1,V1,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1 [31 >= M] (?,1)
,M1,N1,O1,P1)
6. f485(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f485(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,-1 + Q,Q1,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1[Q >= 0] (?,1)
,O1,P1)
7. f501(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f501(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,1 + S,Q1,R1,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1[49 >= S] (?,1)
,O1,P1)
8. f526(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f526(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,1 + W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 [V >= W] (?,1)
,O1,P1)
9. f540(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f543(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,0,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1 [8 >= X] (?,1)
,P1)
10. f543(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f546(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,0,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1 [7 >= Y] (?,1)
,P1)
11. f546(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f546(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,1 + Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 [3 >= Z] (?,1)
,O1,P1)
12. f546(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f543(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,1 + Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 [Z >= 4] (?,1)
,O1,P1)
13. f543(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f540(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,7 + X,Y,Z,3 + A1,3 + B1,-7 + C1,D1,E1,F1,G1,H1,I1,J1 [Y >= 8] (?,1)
,K1,L1,M1,N1,O1,P1)
14. f540(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f584(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1 [X >= 9] (?,1)
,P1)
15. f526(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f540(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,1,Y,Z,0,13,8,E1,E1,E1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) [W >= 1 + V] (?,1)
16. f501(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f526(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,17,2,X,Y,Z,A1,B1,C1,D1,B,F1,B,1,Q1,A,1,R1,M1,N1,O1,P1) [S >= 50] (?,1)
17. f485(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f501(A,R,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0,Q1,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,R,N1,O1 [0 >= 1 + Q] (?,1)
,P1)
18. f461(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f455(A,B,C,D,E,F,G,H,2 + I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 [M >= 32] (?,1)
,O1,P1)
19. f455(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f485(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,98,Q1,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,100,O1[I >= 100] (?,1)
,P1)
20. f441(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f437(A,B,C,D,E,1 + F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1 [H >= 50] (?,1)
,O1,P1)
21. f437(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f455(A,B,C,D,E,F,G,H,0,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1 [F >= 50] (?,1)
,P1)
22. f422(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) -> f437(C,B,C,D,E,0,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,C,C) [E >= 150] (?,1)
Signature:
{(f0,42)
;(f422,42)
;(f437,42)
;(f441,42)
;(f455,42)
;(f461,42)
;(f485,42)
;(f501,42)
;(f526,42)
;(f540,42)
;(f543,42)
;(f546,42)
;(f584,42)}
Flow Graph:
[0->{1,22},1->{1,22},2->{3,20},3->{3,20},4->{5,18},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10,13}
,10->{11,12},11->{11,12},12->{10,13},13->{9,14},14->{},15->{9,14},16->{8,15},17->{7,16},18->{4,19},19->{6
,17},20->{2,21},21->{4,19},22->{2,21}]
+ Applied Processor:
RestrictVarsProcessor
+ Details:
We removed the arguments [D,G,J,K,L,N,O,P,T,U,A1,B1,C1,D1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1] .
* Step 2: LocalSizeboundsProc WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (?,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
14. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f584(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [X >= 9] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (?,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1,22},1->{1,22},2->{3,20},3->{3,20},4->{5,18},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10,13}
,10->{11,12},11->{11,12},12->{10,13},13->{9,14},14->{},15->{9,14},16->{8,15},17->{7,16},18->{4,19},19->{6
,17},20->{2,21},21->{4,19},22->{2,21}]
+ Applied Processor:
LocalSizeboundsProc
+ Details:
LocalSizebounds generated; rvgraph
(< 0,0,A>, 3, .= 3) (< 0,0,B>, 43690, .= 43690) (< 0,0,C>, 3, .= 3) (< 0,0,E>, 0, .= 0) (< 0,0,F>, F, .= 0) (< 0,0,H>, H, .= 0) (< 0,0,I>, I, .= 0) (< 0,0,M>, M, .= 0) (< 0,0,Q>, Q, .= 0) (< 0,0,R>, R, .= 0) (< 0,0,S>, S, .= 0) (< 0,0,V>, V, .= 0) (< 0,0,W>, W, .= 0) (< 0,0,X>, X, .= 0) (< 0,0,Y>, Y, .= 0) (< 0,0,Z>, Z, .= 0) (< 0,0,E1>, E1, .= 0)
(< 1,0,A>, A, .= 0) (< 1,0,B>, B, .= 0) (< 1,0,C>, ?, .?) (< 1,0,E>, 1 + E, .+ 1) (< 1,0,F>, F, .= 0) (< 1,0,H>, H, .= 0) (< 1,0,I>, I, .= 0) (< 1,0,M>, M, .= 0) (< 1,0,Q>, Q, .= 0) (< 1,0,R>, R, .= 0) (< 1,0,S>, S, .= 0) (< 1,0,V>, V, .= 0) (< 1,0,W>, W, .= 0) (< 1,0,X>, X, .= 0) (< 1,0,Y>, Y, .= 0) (< 1,0,Z>, Z, .= 0) (< 1,0,E1>, E1, .= 0)
(< 2,0,A>, A, .= 0) (< 2,0,B>, B, .= 0) (< 2,0,C>, C, .= 0) (< 2,0,E>, E, .= 0) (< 2,0,F>, F, .= 0) (< 2,0,H>, 0, .= 0) (< 2,0,I>, I, .= 0) (< 2,0,M>, M, .= 0) (< 2,0,Q>, Q, .= 0) (< 2,0,R>, R, .= 0) (< 2,0,S>, S, .= 0) (< 2,0,V>, V, .= 0) (< 2,0,W>, W, .= 0) (< 2,0,X>, X, .= 0) (< 2,0,Y>, Y, .= 0) (< 2,0,Z>, Z, .= 0) (< 2,0,E1>, E1, .= 0)
(< 3,0,A>, A, .= 0) (< 3,0,B>, B, .= 0) (< 3,0,C>, C, .= 0) (< 3,0,E>, E, .= 0) (< 3,0,F>, F, .= 0) (< 3,0,H>, 1 + H, .+ 1) (< 3,0,I>, I, .= 0) (< 3,0,M>, M, .= 0) (< 3,0,Q>, Q, .= 0) (< 3,0,R>, R, .= 0) (< 3,0,S>, S, .= 0) (< 3,0,V>, V, .= 0) (< 3,0,W>, W, .= 0) (< 3,0,X>, X, .= 0) (< 3,0,Y>, Y, .= 0) (< 3,0,Z>, Z, .= 0) (< 3,0,E1>, E1, .= 0)
(< 4,0,A>, A, .= 0) (< 4,0,B>, B, .= 0) (< 4,0,C>, C, .= 0) (< 4,0,E>, E, .= 0) (< 4,0,F>, F, .= 0) (< 4,0,H>, H, .= 0) (< 4,0,I>, I, .= 0) (< 4,0,M>, 0, .= 0) (< 4,0,Q>, Q, .= 0) (< 4,0,R>, R, .= 0) (< 4,0,S>, S, .= 0) (< 4,0,V>, V, .= 0) (< 4,0,W>, W, .= 0) (< 4,0,X>, X, .= 0) (< 4,0,Y>, Y, .= 0) (< 4,0,Z>, Z, .= 0) (< 4,0,E1>, E1, .= 0)
(< 5,0,A>, A, .= 0) (< 5,0,B>, B, .= 0) (< 5,0,C>, C, .= 0) (< 5,0,E>, E, .= 0) (< 5,0,F>, F, .= 0) (< 5,0,H>, H, .= 0) (< 5,0,I>, I, .= 0) (< 5,0,M>, 2 + M, .+ 2) (< 5,0,Q>, Q, .= 0) (< 5,0,R>, R, .= 0) (< 5,0,S>, S, .= 0) (< 5,0,V>, V, .= 0) (< 5,0,W>, W, .= 0) (< 5,0,X>, X, .= 0) (< 5,0,Y>, Y, .= 0) (< 5,0,Z>, Z, .= 0) (< 5,0,E1>, E1, .= 0)
(< 6,0,A>, A, .= 0) (< 6,0,B>, B, .= 0) (< 6,0,C>, C, .= 0) (< 6,0,E>, E, .= 0) (< 6,0,F>, F, .= 0) (< 6,0,H>, H, .= 0) (< 6,0,I>, I, .= 0) (< 6,0,M>, M, .= 0) (< 6,0,Q>, 1 + Q, .+ 1) (< 6,0,R>, ?, .?) (< 6,0,S>, S, .= 0) (< 6,0,V>, V, .= 0) (< 6,0,W>, W, .= 0) (< 6,0,X>, X, .= 0) (< 6,0,Y>, Y, .= 0) (< 6,0,Z>, Z, .= 0) (< 6,0,E1>, E1, .= 0)
(< 7,0,A>, A, .= 0) (< 7,0,B>, B, .= 0) (< 7,0,C>, C, .= 0) (< 7,0,E>, E, .= 0) (< 7,0,F>, F, .= 0) (< 7,0,H>, H, .= 0) (< 7,0,I>, I, .= 0) (< 7,0,M>, M, .= 0) (< 7,0,Q>, Q, .= 0) (< 7,0,R>, R, .= 0) (< 7,0,S>, 1 + S, .+ 1) (< 7,0,V>, V, .= 0) (< 7,0,W>, W, .= 0) (< 7,0,X>, X, .= 0) (< 7,0,Y>, Y, .= 0) (< 7,0,Z>, Z, .= 0) (< 7,0,E1>, E1, .= 0)
(< 8,0,A>, A, .= 0) (< 8,0,B>, B, .= 0) (< 8,0,C>, C, .= 0) (< 8,0,E>, E, .= 0) (< 8,0,F>, F, .= 0) (< 8,0,H>, H, .= 0) (< 8,0,I>, I, .= 0) (< 8,0,M>, M, .= 0) (< 8,0,Q>, Q, .= 0) (< 8,0,R>, R, .= 0) (< 8,0,S>, S, .= 0) (< 8,0,V>, V, .= 0) (< 8,0,W>, 1 + W, .+ 1) (< 8,0,X>, X, .= 0) (< 8,0,Y>, Y, .= 0) (< 8,0,Z>, Z, .= 0) (< 8,0,E1>, E1, .= 0)
(< 9,0,A>, A, .= 0) (< 9,0,B>, B, .= 0) (< 9,0,C>, C, .= 0) (< 9,0,E>, E, .= 0) (< 9,0,F>, F, .= 0) (< 9,0,H>, H, .= 0) (< 9,0,I>, I, .= 0) (< 9,0,M>, M, .= 0) (< 9,0,Q>, Q, .= 0) (< 9,0,R>, R, .= 0) (< 9,0,S>, S, .= 0) (< 9,0,V>, V, .= 0) (< 9,0,W>, W, .= 0) (< 9,0,X>, X, .= 0) (< 9,0,Y>, 0, .= 0) (< 9,0,Z>, Z, .= 0) (< 9,0,E1>, E1, .= 0)
(<10,0,A>, A, .= 0) (<10,0,B>, B, .= 0) (<10,0,C>, C, .= 0) (<10,0,E>, E, .= 0) (<10,0,F>, F, .= 0) (<10,0,H>, H, .= 0) (<10,0,I>, I, .= 0) (<10,0,M>, M, .= 0) (<10,0,Q>, Q, .= 0) (<10,0,R>, R, .= 0) (<10,0,S>, S, .= 0) (<10,0,V>, V, .= 0) (<10,0,W>, W, .= 0) (<10,0,X>, X, .= 0) (<10,0,Y>, Y, .= 0) (<10,0,Z>, 0, .= 0) (<10,0,E1>, E1, .= 0)
(<11,0,A>, A, .= 0) (<11,0,B>, B, .= 0) (<11,0,C>, C, .= 0) (<11,0,E>, E, .= 0) (<11,0,F>, F, .= 0) (<11,0,H>, H, .= 0) (<11,0,I>, I, .= 0) (<11,0,M>, M, .= 0) (<11,0,Q>, Q, .= 0) (<11,0,R>, R, .= 0) (<11,0,S>, S, .= 0) (<11,0,V>, V, .= 0) (<11,0,W>, W, .= 0) (<11,0,X>, X, .= 0) (<11,0,Y>, Y, .= 0) (<11,0,Z>, 1 + Z, .+ 1) (<11,0,E1>, E1, .= 0)
(<12,0,A>, A, .= 0) (<12,0,B>, B, .= 0) (<12,0,C>, C, .= 0) (<12,0,E>, E, .= 0) (<12,0,F>, F, .= 0) (<12,0,H>, H, .= 0) (<12,0,I>, I, .= 0) (<12,0,M>, M, .= 0) (<12,0,Q>, Q, .= 0) (<12,0,R>, R, .= 0) (<12,0,S>, S, .= 0) (<12,0,V>, V, .= 0) (<12,0,W>, W, .= 0) (<12,0,X>, X, .= 0) (<12,0,Y>, 1 + Y, .+ 1) (<12,0,Z>, Z, .= 0) (<12,0,E1>, E1, .= 0)
(<13,0,A>, A, .= 0) (<13,0,B>, B, .= 0) (<13,0,C>, C, .= 0) (<13,0,E>, E, .= 0) (<13,0,F>, F, .= 0) (<13,0,H>, H, .= 0) (<13,0,I>, I, .= 0) (<13,0,M>, M, .= 0) (<13,0,Q>, Q, .= 0) (<13,0,R>, R, .= 0) (<13,0,S>, S, .= 0) (<13,0,V>, V, .= 0) (<13,0,W>, W, .= 0) (<13,0,X>, 7 + X, .+ 7) (<13,0,Y>, Y, .= 0) (<13,0,Z>, Z, .= 0) (<13,0,E1>, E1, .= 0)
(<14,0,A>, A, .= 0) (<14,0,B>, B, .= 0) (<14,0,C>, C, .= 0) (<14,0,E>, E, .= 0) (<14,0,F>, F, .= 0) (<14,0,H>, H, .= 0) (<14,0,I>, I, .= 0) (<14,0,M>, M, .= 0) (<14,0,Q>, Q, .= 0) (<14,0,R>, R, .= 0) (<14,0,S>, S, .= 0) (<14,0,V>, V, .= 0) (<14,0,W>, W, .= 0) (<14,0,X>, X, .= 0) (<14,0,Y>, Y, .= 0) (<14,0,Z>, Z, .= 0) (<14,0,E1>, E1, .= 0)
(<15,0,A>, A, .= 0) (<15,0,B>, B, .= 0) (<15,0,C>, C, .= 0) (<15,0,E>, E, .= 0) (<15,0,F>, F, .= 0) (<15,0,H>, H, .= 0) (<15,0,I>, I, .= 0) (<15,0,M>, M, .= 0) (<15,0,Q>, Q, .= 0) (<15,0,R>, R, .= 0) (<15,0,S>, S, .= 0) (<15,0,V>, V, .= 0) (<15,0,W>, W, .= 0) (<15,0,X>, 1, .= 1) (<15,0,Y>, Y, .= 0) (<15,0,Z>, Z, .= 0) (<15,0,E1>, E1, .= 0)
(<16,0,A>, A, .= 0) (<16,0,B>, B, .= 0) (<16,0,C>, C, .= 0) (<16,0,E>, E, .= 0) (<16,0,F>, F, .= 0) (<16,0,H>, H, .= 0) (<16,0,I>, I, .= 0) (<16,0,M>, M, .= 0) (<16,0,Q>, Q, .= 0) (<16,0,R>, R, .= 0) (<16,0,S>, S, .= 0) (<16,0,V>, 17, .= 17) (<16,0,W>, 2, .= 2) (<16,0,X>, X, .= 0) (<16,0,Y>, Y, .= 0) (<16,0,Z>, Z, .= 0) (<16,0,E1>, B, .= 0)
(<17,0,A>, A, .= 0) (<17,0,B>, R, .= 0) (<17,0,C>, C, .= 0) (<17,0,E>, E, .= 0) (<17,0,F>, F, .= 0) (<17,0,H>, H, .= 0) (<17,0,I>, I, .= 0) (<17,0,M>, M, .= 0) (<17,0,Q>, Q, .= 0) (<17,0,R>, R, .= 0) (<17,0,S>, 0, .= 0) (<17,0,V>, V, .= 0) (<17,0,W>, W, .= 0) (<17,0,X>, X, .= 0) (<17,0,Y>, Y, .= 0) (<17,0,Z>, Z, .= 0) (<17,0,E1>, E1, .= 0)
(<18,0,A>, A, .= 0) (<18,0,B>, B, .= 0) (<18,0,C>, C, .= 0) (<18,0,E>, E, .= 0) (<18,0,F>, F, .= 0) (<18,0,H>, H, .= 0) (<18,0,I>, 2 + I, .+ 2) (<18,0,M>, M, .= 0) (<18,0,Q>, Q, .= 0) (<18,0,R>, R, .= 0) (<18,0,S>, S, .= 0) (<18,0,V>, V, .= 0) (<18,0,W>, W, .= 0) (<18,0,X>, X, .= 0) (<18,0,Y>, Y, .= 0) (<18,0,Z>, Z, .= 0) (<18,0,E1>, E1, .= 0)
(<19,0,A>, A, .= 0) (<19,0,B>, B, .= 0) (<19,0,C>, C, .= 0) (<19,0,E>, E, .= 0) (<19,0,F>, F, .= 0) (<19,0,H>, H, .= 0) (<19,0,I>, I, .= 0) (<19,0,M>, M, .= 0) (<19,0,Q>, 98, .= 98) (<19,0,R>, ?, .?) (<19,0,S>, S, .= 0) (<19,0,V>, V, .= 0) (<19,0,W>, W, .= 0) (<19,0,X>, X, .= 0) (<19,0,Y>, Y, .= 0) (<19,0,Z>, Z, .= 0) (<19,0,E1>, E1, .= 0)
(<20,0,A>, A, .= 0) (<20,0,B>, B, .= 0) (<20,0,C>, C, .= 0) (<20,0,E>, E, .= 0) (<20,0,F>, 1 + F, .+ 1) (<20,0,H>, H, .= 0) (<20,0,I>, I, .= 0) (<20,0,M>, M, .= 0) (<20,0,Q>, Q, .= 0) (<20,0,R>, R, .= 0) (<20,0,S>, S, .= 0) (<20,0,V>, V, .= 0) (<20,0,W>, W, .= 0) (<20,0,X>, X, .= 0) (<20,0,Y>, Y, .= 0) (<20,0,Z>, Z, .= 0) (<20,0,E1>, E1, .= 0)
(<21,0,A>, A, .= 0) (<21,0,B>, B, .= 0) (<21,0,C>, C, .= 0) (<21,0,E>, E, .= 0) (<21,0,F>, F, .= 0) (<21,0,H>, H, .= 0) (<21,0,I>, 0, .= 0) (<21,0,M>, M, .= 0) (<21,0,Q>, Q, .= 0) (<21,0,R>, R, .= 0) (<21,0,S>, S, .= 0) (<21,0,V>, V, .= 0) (<21,0,W>, W, .= 0) (<21,0,X>, X, .= 0) (<21,0,Y>, Y, .= 0) (<21,0,Z>, Z, .= 0) (<21,0,E1>, E1, .= 0)
(<22,0,A>, C, .= 0) (<22,0,B>, B, .= 0) (<22,0,C>, C, .= 0) (<22,0,E>, E, .= 0) (<22,0,F>, 0, .= 0) (<22,0,H>, H, .= 0) (<22,0,I>, I, .= 0) (<22,0,M>, M, .= 0) (<22,0,Q>, Q, .= 0) (<22,0,R>, R, .= 0) (<22,0,S>, S, .= 0) (<22,0,V>, V, .= 0) (<22,0,W>, W, .= 0) (<22,0,X>, X, .= 0) (<22,0,Y>, Y, .= 0) (<22,0,Z>, Z, .= 0) (<22,0,E1>, E1, .= 0)
* Step 3: SizeboundsProc WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (?,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
14. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f584(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [X >= 9] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (?,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1,22},1->{1,22},2->{3,20},3->{3,20},4->{5,18},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10,13}
,10->{11,12},11->{11,12},12->{10,13},13->{9,14},14->{},15->{9,14},16->{8,15},17->{7,16},18->{4,19},19->{6
,17},20->{2,21},21->{4,19},22->{2,21}]
Sizebounds:
(< 0,0,A>, ?) (< 0,0,B>, ?) (< 0,0,C>, ?) (< 0,0,E>, ?) (< 0,0,F>, ?) (< 0,0,H>, ?) (< 0,0,I>, ?) (< 0,0,M>, ?) (< 0,0,Q>, ?) (< 0,0,R>, ?) (< 0,0,S>, ?) (< 0,0,V>, ?) (< 0,0,W>, ?) (< 0,0,X>, ?) (< 0,0,Y>, ?) (< 0,0,Z>, ?) (< 0,0,E1>, ?)
(< 1,0,A>, ?) (< 1,0,B>, ?) (< 1,0,C>, ?) (< 1,0,E>, ?) (< 1,0,F>, ?) (< 1,0,H>, ?) (< 1,0,I>, ?) (< 1,0,M>, ?) (< 1,0,Q>, ?) (< 1,0,R>, ?) (< 1,0,S>, ?) (< 1,0,V>, ?) (< 1,0,W>, ?) (< 1,0,X>, ?) (< 1,0,Y>, ?) (< 1,0,Z>, ?) (< 1,0,E1>, ?)
(< 2,0,A>, ?) (< 2,0,B>, ?) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, ?) (< 2,0,H>, ?) (< 2,0,I>, ?) (< 2,0,M>, ?) (< 2,0,Q>, ?) (< 2,0,R>, ?) (< 2,0,S>, ?) (< 2,0,V>, ?) (< 2,0,W>, ?) (< 2,0,X>, ?) (< 2,0,Y>, ?) (< 2,0,Z>, ?) (< 2,0,E1>, ?)
(< 3,0,A>, ?) (< 3,0,B>, ?) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, ?) (< 3,0,H>, ?) (< 3,0,I>, ?) (< 3,0,M>, ?) (< 3,0,Q>, ?) (< 3,0,R>, ?) (< 3,0,S>, ?) (< 3,0,V>, ?) (< 3,0,W>, ?) (< 3,0,X>, ?) (< 3,0,Y>, ?) (< 3,0,Z>, ?) (< 3,0,E1>, ?)
(< 4,0,A>, ?) (< 4,0,B>, ?) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, ?) (< 4,0,M>, ?) (< 4,0,Q>, ?) (< 4,0,R>, ?) (< 4,0,S>, ?) (< 4,0,V>, ?) (< 4,0,W>, ?) (< 4,0,X>, ?) (< 4,0,Y>, ?) (< 4,0,Z>, ?) (< 4,0,E1>, ?)
(< 5,0,A>, ?) (< 5,0,B>, ?) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, ?) (< 5,0,M>, ?) (< 5,0,Q>, ?) (< 5,0,R>, ?) (< 5,0,S>, ?) (< 5,0,V>, ?) (< 5,0,W>, ?) (< 5,0,X>, ?) (< 5,0,Y>, ?) (< 5,0,Z>, ?) (< 5,0,E1>, ?)
(< 6,0,A>, ?) (< 6,0,B>, ?) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, ?) (< 6,0,M>, ?) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, ?) (< 6,0,V>, ?) (< 6,0,W>, ?) (< 6,0,X>, ?) (< 6,0,Y>, ?) (< 6,0,Z>, ?) (< 6,0,E1>, ?)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, ?) (< 7,0,M>, ?) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, ?) (< 7,0,V>, ?) (< 7,0,W>, ?) (< 7,0,X>, ?) (< 7,0,Y>, ?) (< 7,0,Z>, ?) (< 7,0,E1>, ?)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, ?) (< 8,0,M>, ?) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, ?) (< 8,0,V>, ?) (< 8,0,W>, ?) (< 8,0,X>, ?) (< 8,0,Y>, ?) (< 8,0,Z>, ?) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, ?) (< 9,0,W>, ?) (< 9,0,X>, ?) (< 9,0,Y>, ?) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, ?) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, ?) (<10,0,Z>, ?) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, ?) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, ?) (<11,0,Z>, ?) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, ?) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, ?) (<12,0,Z>, ?) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, ?) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, ?) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<14,0,A>, ?) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,E>, ?) (<14,0,F>, ?) (<14,0,H>, ?) (<14,0,I>, ?) (<14,0,M>, ?) (<14,0,Q>, ?) (<14,0,R>, ?) (<14,0,S>, ?) (<14,0,V>, ?) (<14,0,W>, ?) (<14,0,X>, ?) (<14,0,Y>, ?) (<14,0,Z>, ?) (<14,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, ?) (<15,0,M>, ?) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, ?) (<15,0,V>, ?) (<15,0,W>, ?) (<15,0,X>, ?) (<15,0,Y>, ?) (<15,0,Z>, ?) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, ?) (<16,0,M>, ?) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, ?) (<16,0,V>, ?) (<16,0,W>, ?) (<16,0,X>, ?) (<16,0,Y>, ?) (<16,0,Z>, ?) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, ?) (<17,0,M>, ?) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, ?) (<17,0,V>, ?) (<17,0,W>, ?) (<17,0,X>, ?) (<17,0,Y>, ?) (<17,0,Z>, ?) (<17,0,E1>, ?)
(<18,0,A>, ?) (<18,0,B>, ?) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, ?) (<18,0,M>, ?) (<18,0,Q>, ?) (<18,0,R>, ?) (<18,0,S>, ?) (<18,0,V>, ?) (<18,0,W>, ?) (<18,0,X>, ?) (<18,0,Y>, ?) (<18,0,Z>, ?) (<18,0,E1>, ?)
(<19,0,A>, ?) (<19,0,B>, ?) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, ?) (<19,0,M>, ?) (<19,0,Q>, ?) (<19,0,R>, ?) (<19,0,S>, ?) (<19,0,V>, ?) (<19,0,W>, ?) (<19,0,X>, ?) (<19,0,Y>, ?) (<19,0,Z>, ?) (<19,0,E1>, ?)
(<20,0,A>, ?) (<20,0,B>, ?) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, ?) (<20,0,H>, ?) (<20,0,I>, ?) (<20,0,M>, ?) (<20,0,Q>, ?) (<20,0,R>, ?) (<20,0,S>, ?) (<20,0,V>, ?) (<20,0,W>, ?) (<20,0,X>, ?) (<20,0,Y>, ?) (<20,0,Z>, ?) (<20,0,E1>, ?)
(<21,0,A>, ?) (<21,0,B>, ?) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, ?) (<21,0,H>, ?) (<21,0,I>, ?) (<21,0,M>, ?) (<21,0,Q>, ?) (<21,0,R>, ?) (<21,0,S>, ?) (<21,0,V>, ?) (<21,0,W>, ?) (<21,0,X>, ?) (<21,0,Y>, ?) (<21,0,Z>, ?) (<21,0,E1>, ?)
(<22,0,A>, ?) (<22,0,B>, ?) (<22,0,C>, ?) (<22,0,E>, ?) (<22,0,F>, ?) (<22,0,H>, ?) (<22,0,I>, ?) (<22,0,M>, ?) (<22,0,Q>, ?) (<22,0,R>, ?) (<22,0,S>, ?) (<22,0,V>, ?) (<22,0,W>, ?) (<22,0,X>, ?) (<22,0,Y>, ?) (<22,0,Z>, ?) (<22,0,E1>, ?)
+ Applied Processor:
SizeboundsProc
+ Details:
Sizebounds computed:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<14,0,A>, ?) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,E>, ?) (<14,0,F>, ?) (<14,0,H>, ?) (<14,0,I>, ?) (<14,0,M>, ?) (<14,0,Q>, ?) (<14,0,R>, ?) (<14,0,S>, ?) (<14,0,V>, 17) (<14,0,W>, ?) (<14,0,X>, ?) (<14,0,Y>, 7 + Y) (<14,0,Z>, ?) (<14,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 4: UnsatPaths WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (?,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
14. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f584(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [X >= 9] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (?,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1,22},1->{1,22},2->{3,20},3->{3,20},4->{5,18},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10,13}
,10->{11,12},11->{11,12},12->{10,13},13->{9,14},14->{},15->{9,14},16->{8,15},17->{7,16},18->{4,19},19->{6
,17},20->{2,21},21->{4,19},22->{2,21}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<14,0,A>, ?) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,E>, ?) (<14,0,F>, ?) (<14,0,H>, ?) (<14,0,I>, ?) (<14,0,M>, ?) (<14,0,Q>, ?) (<14,0,R>, ?) (<14,0,S>, ?) (<14,0,V>, 17) (<14,0,W>, ?) (<14,0,X>, ?) (<14,0,Y>, 7 + Y) (<14,0,Z>, ?) (<14,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
UnsatPaths
+ Details:
We remove following edges from the transition graph: [(0,22)
,(2,20)
,(4,18)
,(9,13)
,(10,12)
,(15,14)
,(16,15)
,(17,16)
,(19,17)
,(21,19)
,(22,21)]
* Step 5: LeafRules WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (?,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
14. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f584(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [X >= 9] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (?,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9,14},14->{},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<14,0,A>, ?) (<14,0,B>, ?) (<14,0,C>, ?) (<14,0,E>, ?) (<14,0,F>, ?) (<14,0,H>, ?) (<14,0,I>, ?) (<14,0,M>, ?) (<14,0,Q>, ?) (<14,0,R>, ?) (<14,0,S>, ?) (<14,0,V>, 17) (<14,0,W>, ?) (<14,0,X>, ?) (<14,0,Y>, 7 + Y) (<14,0,Z>, ?) (<14,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
LeafRules
+ Details:
The following transitions are estimated by its predecessors and are removed [14]
* Step 6: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (?,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (?,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 1
p(f422) = 1
p(f437) = 0
p(f441) = 0
p(f455) = 0
p(f461) = 0
p(f485) = 0
p(f501) = 0
p(f526) = 0
p(f540) = 0
p(f543) = 0
p(f546) = 0
The following rules are strictly oriented:
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
> 0
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 7: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (?,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 100
p(f422) = 100
p(f437) = 100
p(f441) = 100
p(f455) = 100
p(f461) = 100
p(f485) = 1 + x9
p(f501) = 1 + x9
p(f526) = 1 + x9
p(f540) = 1 + x9
p(f543) = 1 + x9
p(f546) = 1 + x9
The following rules are strictly oriented:
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
> Q
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + Q
>= 1 + Q
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 99
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 8: KnowledgePropagation WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (?,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
KnowledgePropagation
+ Details:
We propagate bounds from predecessors.
* Step 9: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (?,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (?,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 101
p(f422) = 101
p(f437) = 101
p(f441) = 101
p(f455) = 100
p(f461) = 100
p(f485) = 50
p(f501) = 50
p(f526) = 1 + x12 + -1*x13
p(f540) = 1 + x12 + -1*x13
p(f543) = 1 + x12 + -1*x13
p(f546) = 1 + x12 + -1*x13
The following rules are strictly oriented:
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
> V + -1*W
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
> 100
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
>= 101
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
>= 101
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
>= 101
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
>= 101
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
>= 1 + V + -1*W
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
>= 1 + V + -1*W
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
>= 1 + V + -1*W
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
>= 1 + V + -1*W
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
>= 1 + V + -1*W
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + V + -1*W
>= 1 + V + -1*W
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 16
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 50
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
>= 101
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 101
>= 101
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 10: KnowledgePropagation WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (?,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
KnowledgePropagation
+ Details:
We propagate bounds from predecessors.
* Step 11: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (?,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 100
p(f422) = 100
p(f437) = 100
p(f441) = 100
p(f455) = 100 + -1*x7
p(f461) = 98 + -1*x7
p(f485) = 100 + -1*x7
p(f501) = 100 + -1*x7
p(f526) = 117 + -1*x7 + -1*x12
p(f540) = 117 + -1*x7 + -1*x12
p(f543) = 117 + -1*x7 + -1*x12
p(f546) = 117 + -1*x7 + -1*x12
The following rules are strictly oriented:
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
> 98 + -1*I
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 98 + -1*I
>= 98 + -1*I
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 117 + -1*I + -1*V
>= 117 + -1*I + -1*V
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 98 + -1*I
>= 98 + -1*I
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100
>= 100
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 12: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (?,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 50
p(f422) = 50
p(f437) = 50
p(f441) = 50
p(f455) = 1
p(f461) = 1
p(f485) = 100 + -1*x7
p(f501) = 100 + -1*x7
p(f526) = 1 + -1*x7 + 5*x12
p(f540) = 1 + -1*x7 + 5*x12
p(f543) = 1 + -1*x7 + 5*x12
p(f546) = 1 + -1*x7 + 5*x12
The following rules are strictly oriented:
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
> 100 + -1*I
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*I + 5*V
>= 1 + -1*I + 5*V
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 86 + -1*I
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 100 + -1*I
>= 100 + -1*I
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 1
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 13: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (?,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 150
p(f422) = 150 + -1*x4
p(f437) = 1 + -1*x4
p(f441) = 1 + -1*x4
p(f455) = 1 + -1*x4
p(f461) = 1 + -1*x4
p(f485) = -1*x4
p(f501) = -1*x4
p(f526) = -1*x4
p(f540) = -1*x4
p(f543) = -1*x4
p(f546) = -1*x4
The following rules are strictly oriented:
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 150 + -1*E
> 149 + -1*E
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 150
>= 150
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*E
>= -1*E
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= -1*E
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*E
>= 1 + -1*E
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 150 + -1*E
>= 1 + -1*E
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 14: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (?,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 50
p(f422) = 50
p(f437) = 50 + -1*x5
p(f441) = 49 + -1*x5
p(f455) = 1 + -1*x5
p(f461) = 1 + -1*x5
p(f485) = -1*x5
p(f501) = -1*x5
p(f526) = -1*x5
p(f540) = -1*x5
p(f543) = -1*x5
p(f546) = -1*x5
The following rules are strictly oriented:
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50 + -1*F
> 49 + -1*F
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 49 + -1*F
>= 49 + -1*F
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*F
>= 1 + -1*F
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*F
>= 1 + -1*F
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = -1*F
>= -1*F
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*F
>= 1 + -1*F
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*F
>= -1*F
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 49 + -1*F
>= 49 + -1*F
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50 + -1*F
>= 1 + -1*F
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 15: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (?,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 50
p(f422) = 50
p(f437) = 50
p(f441) = 50
p(f455) = 50
p(f461) = 50
p(f485) = 50
p(f501) = 50
p(f526) = 2*x12
p(f540) = 2*x12
p(f543) = 2*x12
p(f546) = 2*x12
The following rules are strictly oriented:
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
> 34
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2*V
>= 2*V
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 16: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (?,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 8
p(f422) = 8
p(f437) = 8
p(f441) = 8
p(f455) = 8
p(f461) = 8
p(f485) = 8
p(f501) = 8
p(f526) = 8
p(f540) = 9 + -1*x14
p(f543) = 2 + -1*x14
p(f546) = 2 + -1*x14
The following rules are strictly oriented:
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 9 + -1*X
> 2 + -1*X
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2 + -1*X
>= 2 + -1*X
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2 + -1*X
>= 2 + -1*X
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2 + -1*X
>= 2 + -1*X
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 2 + -1*X
>= 2 + -1*X
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8
>= 8
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 17: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (?,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f0) = 50
p(f422) = 50
p(f437) = 50
p(f441) = 50
p(f455) = 50
p(f461) = 50
p(f485) = 50
p(f501) = 50 + -1*x11
p(f526) = 1 + -1*x11
p(f540) = 1 + -1*x11
p(f543) = 1 + -1*x11
p(f546) = 1 + -1*x11
The following rules are strictly oriented:
[49 >= S] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50 + -1*S
> 49 + -1*S
= f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
True ==>
f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[149 >= E] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= F] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1)
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[99 >= I] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1)
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
[Q >= 0] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1)
[V >= W] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1)
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
[W >= 1 + V] ==>
f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1 + -1*S
>= 1 + -1*S
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1)
[S >= 50] ==>
f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50 + -1*S
>= 1 + -1*S
= f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B)
[0 >= 1 + Q] ==>
f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1)
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
[I >= 100] ==>
f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1)
[H >= 50] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
[F >= 50] ==>
f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1)
[E >= 150] ==>
f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50
>= 50
= f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1)
* Step 18: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (?,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [3], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f441) = 50 + -1*x6
The following rules are strictly oriented:
[49 >= H] ==>
f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 50 + -1*H
> 49 + -1*H
= f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 19: KnowledgePropagation WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (?,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
KnowledgePropagation
+ Details:
We propagate bounds from predecessors.
* Step 20: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (?,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [18,5], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f455) = 0
p(f461) = 1
The following rules are strictly oriented:
[M >= 32] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
> 0
= f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 21: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (?,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (100,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [5], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f461) = 32 + -1*x8
The following rules are strictly oriented:
[31 >= M] ==>
f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 32 + -1*M
> 30 + -1*M
= f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1)
The following rules are weakly oriented:
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 22: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (3200,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (?,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (100,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [12,11,10], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f543) = 8 + -1*x15
p(f546) = 7 + -1*x15
The following rules are strictly oriented:
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 8 + -1*Y
> 7 + -1*Y
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
The following rules are weakly oriented:
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 7 + -1*Y
>= 7 + -1*Y
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 7 + -1*Y
>= 7 + -1*Y
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 23: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (3200,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (64,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (?,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (100,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [13,12,11,10], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f540) = 0
p(f543) = 1
p(f546) = 1
The following rules are strictly oriented:
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
> 0
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
The following rules are weakly oriented:
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 24: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (3200,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (64,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (?,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (8,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (100,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [9,13,12,11], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f540) = 0
p(f543) = 0
p(f546) = 1
The following rules are strictly oriented:
[Z >= 4] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
> 0
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1)
The following rules are weakly oriented:
[8 >= X] ==>
f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1)
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 1
>= 1
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 0
>= 0
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 25: PolyRank WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (3200,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (64,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (?,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (64,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (8,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (100,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
PolyRank {useFarkas = True, withSizebounds = [13,11,10], shape = Linear}
+ Details:
We apply a polynomial interpretation of shape linear:
p(f540) = 4
p(f543) = 4
p(f546) = 4 + -1*x16
The following rules are strictly oriented:
[3 >= Z] ==>
f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 4 + -1*Z
> 3 + -1*Z
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1)
The following rules are weakly oriented:
[7 >= Y] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 4
>= 4
= f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1)
[Y >= 8] ==>
f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) = 4
>= 4
= f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1)
We use the following global sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
* Step 26: KnowledgePropagation WORST_CASE(?,O(1))
+ Considered Problem:
Rules:
0. f0(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(3,43690,3,0,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) True (1,1)
1. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f422(A,B,Q1,1 + E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [149 >= E] (150,1)
2. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,0,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= F] (50,1)
3. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f441(A,B,C,E,F,1 + H,I,M,Q,R,S,V,W,X,Y,Z,E1) [49 >= H] (2500,1)
4. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,0,Q,R,S,V,W,X,Y,Z,E1) [99 >= I] (100,1)
5. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f461(A,B,C,E,F,H,I,2 + M,Q,R,S,V,W,X,Y,Z,E1) [31 >= M] (3200,1)
6. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,-1 + Q,Q1,S,V,W,X,Y,Z,E1) [Q >= 0] (100,1)
7. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,B,C,E,F,H,I,M,Q,R,1 + S,V,W,X,Y,Z,E1) [49 >= S] (50,1)
8. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,V,1 + W,X,Y,Z,E1) [V >= W] (101,1)
9. f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,0,Z,E1) [8 >= X] (8,1)
10. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,0,E1) [7 >= Y] (64,1)
11. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,1 + Z,E1) [3 >= Z] (288,1)
12. f546(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,1 + Y,Z,E1) [Z >= 4] (64,1)
13. f543(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,7 + X,Y,Z,E1) [Y >= 8] (8,1)
15. f526(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f540(A,B,C,E,F,H,I,M,Q,R,S,V,W,1,Y,Z,E1) [W >= 1 + V] (101,1)
16. f501(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f526(A,B,C,E,F,H,I,M,Q,R,S,17,2,X,Y,Z,B) [S >= 50] (50,1)
17. f485(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f501(A,R,C,E,F,H,I,M,Q,R,0,V,W,X,Y,Z,E1) [0 >= 1 + Q] (100,1)
18. f461(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,2 + I,M,Q,R,S,V,W,X,Y,Z,E1) [M >= 32] (100,1)
19. f455(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f485(A,B,C,E,F,H,I,M,98,Q1,S,V,W,X,Y,Z,E1) [I >= 100] (50,1)
20. f441(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(A,B,C,E,1 + F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [H >= 50] (2500,1)
21. f437(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f455(A,B,C,E,F,H,0,M,Q,R,S,V,W,X,Y,Z,E1) [F >= 50] (101,1)
22. f422(A,B,C,E,F,H,I,M,Q,R,S,V,W,X,Y,Z,E1) -> f437(C,B,C,E,0,H,I,M,Q,R,S,V,W,X,Y,Z,E1) [E >= 150] (1,1)
Signature:
{(f0,17)
;(f422,17)
;(f437,17)
;(f441,17)
;(f455,17)
;(f461,17)
;(f485,17)
;(f501,17)
;(f526,17)
;(f540,17)
;(f543,17)
;(f546,17)
;(f584,17)}
Flow Graph:
[0->{1},1->{1,22},2->{3},3->{3,20},4->{5},5->{5,18},6->{6,17},7->{7,16},8->{8,15},9->{10},10->{11},11->{11
,12},12->{10,13},13->{9},15->{9},16->{8},17->{7},18->{4,19},19->{6},20->{2,21},21->{4},22->{2}]
Sizebounds:
(< 0,0,A>, 3) (< 0,0,B>, 43690) (< 0,0,C>, 3) (< 0,0,E>, 0) (< 0,0,F>, F) (< 0,0,H>, H) (< 0,0,I>, I) (< 0,0,M>, M) (< 0,0,Q>, Q) (< 0,0,R>, R) (< 0,0,S>, S) (< 0,0,V>, V) (< 0,0,W>, W) (< 0,0,X>, X) (< 0,0,Y>, Y) (< 0,0,Z>, Z) (< 0,0,E1>, E1)
(< 1,0,A>, 3) (< 1,0,B>, 43690) (< 1,0,C>, ?) (< 1,0,E>, 150) (< 1,0,F>, F) (< 1,0,H>, H) (< 1,0,I>, I) (< 1,0,M>, M) (< 1,0,Q>, Q) (< 1,0,R>, R) (< 1,0,S>, S) (< 1,0,V>, V) (< 1,0,W>, W) (< 1,0,X>, X) (< 1,0,Y>, Y) (< 1,0,Z>, Z) (< 1,0,E1>, E1)
(< 2,0,A>, ?) (< 2,0,B>, 43690) (< 2,0,C>, ?) (< 2,0,E>, ?) (< 2,0,F>, 49) (< 2,0,H>, 0) (< 2,0,I>, I) (< 2,0,M>, M) (< 2,0,Q>, Q) (< 2,0,R>, R) (< 2,0,S>, S) (< 2,0,V>, V) (< 2,0,W>, W) (< 2,0,X>, X) (< 2,0,Y>, Y) (< 2,0,Z>, Z) (< 2,0,E1>, E1)
(< 3,0,A>, ?) (< 3,0,B>, 43690) (< 3,0,C>, ?) (< 3,0,E>, ?) (< 3,0,F>, 49) (< 3,0,H>, 50) (< 3,0,I>, I) (< 3,0,M>, M) (< 3,0,Q>, Q) (< 3,0,R>, R) (< 3,0,S>, S) (< 3,0,V>, V) (< 3,0,W>, W) (< 3,0,X>, X) (< 3,0,Y>, Y) (< 3,0,Z>, Z) (< 3,0,E1>, E1)
(< 4,0,A>, ?) (< 4,0,B>, 43690) (< 4,0,C>, ?) (< 4,0,E>, ?) (< 4,0,F>, ?) (< 4,0,H>, ?) (< 4,0,I>, 99) (< 4,0,M>, 0) (< 4,0,Q>, Q) (< 4,0,R>, R) (< 4,0,S>, S) (< 4,0,V>, V) (< 4,0,W>, W) (< 4,0,X>, X) (< 4,0,Y>, Y) (< 4,0,Z>, Z) (< 4,0,E1>, E1)
(< 5,0,A>, ?) (< 5,0,B>, 43690) (< 5,0,C>, ?) (< 5,0,E>, ?) (< 5,0,F>, ?) (< 5,0,H>, ?) (< 5,0,I>, 99) (< 5,0,M>, 33) (< 5,0,Q>, Q) (< 5,0,R>, R) (< 5,0,S>, S) (< 5,0,V>, V) (< 5,0,W>, W) (< 5,0,X>, X) (< 5,0,Y>, Y) (< 5,0,Z>, Z) (< 5,0,E1>, E1)
(< 6,0,A>, ?) (< 6,0,B>, 43690) (< 6,0,C>, ?) (< 6,0,E>, ?) (< 6,0,F>, ?) (< 6,0,H>, ?) (< 6,0,I>, 99) (< 6,0,M>, 33 + M) (< 6,0,Q>, ?) (< 6,0,R>, ?) (< 6,0,S>, S) (< 6,0,V>, V) (< 6,0,W>, W) (< 6,0,X>, X) (< 6,0,Y>, Y) (< 6,0,Z>, Z) (< 6,0,E1>, E1)
(< 7,0,A>, ?) (< 7,0,B>, ?) (< 7,0,C>, ?) (< 7,0,E>, ?) (< 7,0,F>, ?) (< 7,0,H>, ?) (< 7,0,I>, 99) (< 7,0,M>, 33 + M) (< 7,0,Q>, ?) (< 7,0,R>, ?) (< 7,0,S>, 50) (< 7,0,V>, V) (< 7,0,W>, W) (< 7,0,X>, X) (< 7,0,Y>, Y) (< 7,0,Z>, Z) (< 7,0,E1>, E1)
(< 8,0,A>, ?) (< 8,0,B>, ?) (< 8,0,C>, ?) (< 8,0,E>, ?) (< 8,0,F>, ?) (< 8,0,H>, ?) (< 8,0,I>, 99) (< 8,0,M>, 33 + M) (< 8,0,Q>, ?) (< 8,0,R>, ?) (< 8,0,S>, 50) (< 8,0,V>, 17) (< 8,0,W>, 18) (< 8,0,X>, X) (< 8,0,Y>, Y) (< 8,0,Z>, Z) (< 8,0,E1>, ?)
(< 9,0,A>, ?) (< 9,0,B>, ?) (< 9,0,C>, ?) (< 9,0,E>, ?) (< 9,0,F>, ?) (< 9,0,H>, ?) (< 9,0,I>, ?) (< 9,0,M>, ?) (< 9,0,Q>, ?) (< 9,0,R>, ?) (< 9,0,S>, ?) (< 9,0,V>, 17) (< 9,0,W>, ?) (< 9,0,X>, 8) (< 9,0,Y>, 0) (< 9,0,Z>, ?) (< 9,0,E1>, ?)
(<10,0,A>, ?) (<10,0,B>, ?) (<10,0,C>, ?) (<10,0,E>, ?) (<10,0,F>, ?) (<10,0,H>, ?) (<10,0,I>, ?) (<10,0,M>, ?) (<10,0,Q>, ?) (<10,0,R>, ?) (<10,0,S>, ?) (<10,0,V>, 17) (<10,0,W>, ?) (<10,0,X>, ?) (<10,0,Y>, 7) (<10,0,Z>, 0) (<10,0,E1>, ?)
(<11,0,A>, ?) (<11,0,B>, ?) (<11,0,C>, ?) (<11,0,E>, ?) (<11,0,F>, ?) (<11,0,H>, ?) (<11,0,I>, ?) (<11,0,M>, ?) (<11,0,Q>, ?) (<11,0,R>, ?) (<11,0,S>, ?) (<11,0,V>, 17) (<11,0,W>, ?) (<11,0,X>, ?) (<11,0,Y>, 7) (<11,0,Z>, 4) (<11,0,E1>, ?)
(<12,0,A>, ?) (<12,0,B>, ?) (<12,0,C>, ?) (<12,0,E>, ?) (<12,0,F>, ?) (<12,0,H>, ?) (<12,0,I>, ?) (<12,0,M>, ?) (<12,0,Q>, ?) (<12,0,R>, ?) (<12,0,S>, ?) (<12,0,V>, 17) (<12,0,W>, ?) (<12,0,X>, ?) (<12,0,Y>, 7) (<12,0,Z>, 4) (<12,0,E1>, ?)
(<13,0,A>, ?) (<13,0,B>, ?) (<13,0,C>, ?) (<13,0,E>, ?) (<13,0,F>, ?) (<13,0,H>, ?) (<13,0,I>, ?) (<13,0,M>, ?) (<13,0,Q>, ?) (<13,0,R>, ?) (<13,0,S>, ?) (<13,0,V>, 17) (<13,0,W>, ?) (<13,0,X>, ?) (<13,0,Y>, 7) (<13,0,Z>, ?) (<13,0,E1>, ?)
(<15,0,A>, ?) (<15,0,B>, ?) (<15,0,C>, ?) (<15,0,E>, ?) (<15,0,F>, ?) (<15,0,H>, ?) (<15,0,I>, 99) (<15,0,M>, 33 + M) (<15,0,Q>, ?) (<15,0,R>, ?) (<15,0,S>, 50) (<15,0,V>, 17) (<15,0,W>, 18) (<15,0,X>, 1) (<15,0,Y>, Y) (<15,0,Z>, Z) (<15,0,E1>, ?)
(<16,0,A>, ?) (<16,0,B>, ?) (<16,0,C>, ?) (<16,0,E>, ?) (<16,0,F>, ?) (<16,0,H>, ?) (<16,0,I>, 99) (<16,0,M>, 33 + M) (<16,0,Q>, ?) (<16,0,R>, ?) (<16,0,S>, 50) (<16,0,V>, 17) (<16,0,W>, 2) (<16,0,X>, X) (<16,0,Y>, Y) (<16,0,Z>, Z) (<16,0,E1>, ?)
(<17,0,A>, ?) (<17,0,B>, ?) (<17,0,C>, ?) (<17,0,E>, ?) (<17,0,F>, ?) (<17,0,H>, ?) (<17,0,I>, 99) (<17,0,M>, 33 + M) (<17,0,Q>, ?) (<17,0,R>, ?) (<17,0,S>, 0) (<17,0,V>, V) (<17,0,W>, W) (<17,0,X>, X) (<17,0,Y>, Y) (<17,0,Z>, Z) (<17,0,E1>, E1)
(<18,0,A>, ?) (<18,0,B>, 43690) (<18,0,C>, ?) (<18,0,E>, ?) (<18,0,F>, ?) (<18,0,H>, ?) (<18,0,I>, 99) (<18,0,M>, 33) (<18,0,Q>, Q) (<18,0,R>, R) (<18,0,S>, S) (<18,0,V>, V) (<18,0,W>, W) (<18,0,X>, X) (<18,0,Y>, Y) (<18,0,Z>, Z) (<18,0,E1>, E1)
(<19,0,A>, ?) (<19,0,B>, 43690) (<19,0,C>, ?) (<19,0,E>, ?) (<19,0,F>, ?) (<19,0,H>, ?) (<19,0,I>, 99) (<19,0,M>, 33 + M) (<19,0,Q>, 98) (<19,0,R>, ?) (<19,0,S>, S) (<19,0,V>, V) (<19,0,W>, W) (<19,0,X>, X) (<19,0,Y>, Y) (<19,0,Z>, Z) (<19,0,E1>, E1)
(<20,0,A>, ?) (<20,0,B>, 43690) (<20,0,C>, ?) (<20,0,E>, ?) (<20,0,F>, 49) (<20,0,H>, 50) (<20,0,I>, I) (<20,0,M>, M) (<20,0,Q>, Q) (<20,0,R>, R) (<20,0,S>, S) (<20,0,V>, V) (<20,0,W>, W) (<20,0,X>, X) (<20,0,Y>, Y) (<20,0,Z>, Z) (<20,0,E1>, E1)
(<21,0,A>, ?) (<21,0,B>, 43690) (<21,0,C>, ?) (<21,0,E>, ?) (<21,0,F>, 49) (<21,0,H>, 50 + H) (<21,0,I>, 0) (<21,0,M>, M) (<21,0,Q>, Q) (<21,0,R>, R) (<21,0,S>, S) (<21,0,V>, V) (<21,0,W>, W) (<21,0,X>, X) (<21,0,Y>, Y) (<21,0,Z>, Z) (<21,0,E1>, E1)
(<22,0,A>, ?) (<22,0,B>, 43690) (<22,0,C>, ?) (<22,0,E>, 150) (<22,0,F>, 0) (<22,0,H>, H) (<22,0,I>, I) (<22,0,M>, M) (<22,0,Q>, Q) (<22,0,R>, R) (<22,0,S>, S) (<22,0,V>, V) (<22,0,W>, W) (<22,0,X>, X) (<22,0,Y>, Y) (<22,0,Z>, Z) (<22,0,E1>, E1)
+ Applied Processor:
KnowledgePropagation
+ Details:
The problem is already solved.
WORST_CASE(?,O(1))