'Weak Dependency Graph [60.0]'
------------------------------
Answer: YES(?,O(n^1))
Input Problem: innermost runtime-complexity with respect to
Rules:
{ 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
, 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))}
Details:
We have computed the following set of weak (innermost) dependency pairs:
{ 0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))
, 0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))
, 0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
The usable rules are:
{ 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
, 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))}
The estimated dependency graph contains the following edges:
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) ->
c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
{0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))}
==> {0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))}
We consider the following path(s):
1) { 0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))
, 0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
The usable rules for this path are the following:
{ 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
, 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))}
We have applied the subprocessor on the union of usable rules and weak (innermost) dependency pairs.
'Weight Gap Principle'
----------------------
Answer: YES(?,O(n^1))
Input Problem: innermost runtime-complexity with respect to
Rules:
{ 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
, 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))
, 0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
Details:
'fastest of 'combine', 'Bounds with default enrichment', 'Bounds with default enrichment''
------------------------------------------------------------------------------------------
Answer: YES(?,O(n^1))
Input Problem: innermost runtime-complexity with respect to
Rules:
{ 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
, 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))
, 0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
Details:
The problem was solved by processor 'Bounds with default enrichment':
'Bounds with default enrichment'
--------------------------------
Answer: YES(?,O(n^1))
Input Problem: innermost runtime-complexity with respect to
Rules:
{ 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
, 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0(1(2(1(x1)))) ->
1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_0(0^#(1(2(0(1(2(x1)))))))
, 0^#(1(2(1(x1)))) ->
c_7(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_6(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_5(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_4(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
, 0^#(1(2(1(x1)))) ->
c_3(0^#(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
, 0^#(1(2(1(x1)))) -> c_2(0^#(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))
, 0^#(1(2(1(x1)))) -> c_1(0^#(1(2(0(1(2(0(1(2(x1))))))))))}
Details:
The problem is Match-bounded by 2.
The enriched problem is compatible with the following automaton:
{ 0_1(4) -> 30
, 0_1(7) -> 6
, 0_1(10) -> 12
, 0_1(13) -> 12
, 0_1(16) -> 15
, 0_1(19) -> 18
, 0_1(22) -> 21
, 0_1(25) -> 24
, 0_1(28) -> 27
, 0_2(44) -> 43
, 0_2(47) -> 46
, 0_2(50) -> 49
, 0_2(56) -> 55
, 0_2(59) -> 58
, 0_2(62) -> 61
, 0_2(65) -> 64
, 0_2(71) -> 70
, 0_2(74) -> 73
, 0_2(77) -> 76
, 0_2(80) -> 79
, 0_2(83) -> 82
, 0_2(89) -> 88
, 0_2(92) -> 91
, 0_2(95) -> 94
, 0_2(98) -> 97
, 0_2(101) -> 100
, 0_2(104) -> 103
, 0_2(110) -> 109
, 0_2(113) -> 112
, 0_2(116) -> 115
, 0_2(119) -> 118
, 0_2(122) -> 121
, 0_2(125) -> 124
, 0_2(128) -> 127
, 0_2(134) -> 133
, 0_2(137) -> 136
, 0_2(140) -> 139
, 0_2(143) -> 142
, 0_2(146) -> 145
, 0_2(149) -> 148
, 0_2(152) -> 151
, 0_2(155) -> 154
, 0_2(161) -> 160
, 0_2(164) -> 163
, 0_2(167) -> 166
, 0_2(170) -> 169
, 0_2(173) -> 172
, 0_2(176) -> 175
, 0_2(179) -> 178
, 0_2(182) -> 181
, 0_2(185) -> 184
, 0_2(195) -> 228
, 0_2(198) -> 197
, 0_2(208) -> 160
, 0_2(211) -> 210
, 0_2(214) -> 213
, 0_2(217) -> 216
, 0_2(220) -> 219
, 0_2(223) -> 222
, 0_2(226) -> 225
, 1_0(2) -> 2
, 1_1(5) -> 4
, 1_1(8) -> 7
, 1_1(11) -> 10
, 1_1(12) -> 39
, 1_1(14) -> 13
, 1_1(15) -> 39
, 1_1(17) -> 16
, 1_1(18) -> 39
, 1_1(20) -> 19
, 1_1(21) -> 39
, 1_1(23) -> 22
, 1_1(24) -> 39
, 1_1(26) -> 25
, 1_1(27) -> 39
, 1_1(29) -> 28
, 1_1(30) -> 39
, 1_1(37) -> 6
, 1_1(39) -> 38
, 1_2(40) -> 30
, 1_2(42) -> 41
, 1_2(43) -> 42
, 1_2(45) -> 44
, 1_2(46) -> 42
, 1_2(48) -> 47
, 1_2(51) -> 50
, 1_2(52) -> 27
, 1_2(54) -> 53
, 1_2(55) -> 54
, 1_2(57) -> 56
, 1_2(58) -> 54
, 1_2(60) -> 59
, 1_2(61) -> 54
, 1_2(63) -> 62
, 1_2(66) -> 65
, 1_2(67) -> 24
, 1_2(69) -> 68
, 1_2(70) -> 69
, 1_2(72) -> 71
, 1_2(73) -> 69
, 1_2(75) -> 74
, 1_2(76) -> 69
, 1_2(78) -> 77
, 1_2(79) -> 69
, 1_2(81) -> 80
, 1_2(84) -> 83
, 1_2(85) -> 21
, 1_2(87) -> 86
, 1_2(88) -> 87
, 1_2(90) -> 89
, 1_2(91) -> 87
, 1_2(93) -> 92
, 1_2(94) -> 87
, 1_2(96) -> 95
, 1_2(97) -> 87
, 1_2(99) -> 98
, 1_2(100) -> 87
, 1_2(102) -> 101
, 1_2(105) -> 104
, 1_2(106) -> 18
, 1_2(108) -> 107
, 1_2(109) -> 108
, 1_2(111) -> 110
, 1_2(112) -> 108
, 1_2(114) -> 113
, 1_2(115) -> 108
, 1_2(117) -> 116
, 1_2(118) -> 108
, 1_2(120) -> 119
, 1_2(121) -> 108
, 1_2(123) -> 122
, 1_2(124) -> 108
, 1_2(126) -> 125
, 1_2(129) -> 128
, 1_2(130) -> 15
, 1_2(132) -> 131
, 1_2(133) -> 132
, 1_2(135) -> 134
, 1_2(136) -> 132
, 1_2(138) -> 137
, 1_2(139) -> 132
, 1_2(141) -> 140
, 1_2(142) -> 132
, 1_2(144) -> 143
, 1_2(145) -> 132
, 1_2(147) -> 146
, 1_2(148) -> 132
, 1_2(150) -> 149
, 1_2(151) -> 132
, 1_2(153) -> 152
, 1_2(156) -> 155
, 1_2(157) -> 12
, 1_2(159) -> 158
, 1_2(160) -> 159
, 1_2(162) -> 161
, 1_2(163) -> 159
, 1_2(165) -> 164
, 1_2(166) -> 159
, 1_2(168) -> 167
, 1_2(169) -> 159
, 1_2(171) -> 170
, 1_2(172) -> 159
, 1_2(174) -> 173
, 1_2(175) -> 159
, 1_2(177) -> 176
, 1_2(178) -> 159
, 1_2(180) -> 179
, 1_2(181) -> 159
, 1_2(183) -> 182
, 1_2(186) -> 185
, 1_2(196) -> 195
, 1_2(199) -> 198
, 1_2(209) -> 208
, 1_2(210) -> 159
, 1_2(212) -> 211
, 1_2(213) -> 159
, 1_2(215) -> 214
, 1_2(216) -> 159
, 1_2(218) -> 217
, 1_2(219) -> 159
, 1_2(221) -> 220
, 1_2(222) -> 159
, 1_2(224) -> 223
, 1_2(225) -> 159
, 1_2(227) -> 226
, 1_2(228) -> 159
, 2_0(2) -> 2
, 2_1(2) -> 8
, 2_1(6) -> 5
, 2_1(12) -> 11
, 2_1(15) -> 14
, 2_1(18) -> 17
, 2_1(21) -> 20
, 2_1(24) -> 23
, 2_1(27) -> 26
, 2_1(30) -> 29
, 2_1(38) -> 37
, 2_2(37) -> 51
, 2_2(40) -> 66
, 2_2(41) -> 40
, 2_2(43) -> 45
, 2_2(46) -> 45
, 2_2(49) -> 48
, 2_2(52) -> 84
, 2_2(53) -> 52
, 2_2(55) -> 57
, 2_2(58) -> 57
, 2_2(61) -> 60
, 2_2(64) -> 63
, 2_2(67) -> 105
, 2_2(68) -> 67
, 2_2(70) -> 72
, 2_2(73) -> 72
, 2_2(76) -> 75
, 2_2(79) -> 78
, 2_2(82) -> 81
, 2_2(85) -> 129
, 2_2(86) -> 85
, 2_2(88) -> 90
, 2_2(91) -> 90
, 2_2(94) -> 93
, 2_2(97) -> 96
, 2_2(100) -> 99
, 2_2(103) -> 102
, 2_2(106) -> 156
, 2_2(107) -> 106
, 2_2(109) -> 111
, 2_2(112) -> 111
, 2_2(115) -> 114
, 2_2(118) -> 117
, 2_2(121) -> 120
, 2_2(124) -> 123
, 2_2(127) -> 126
, 2_2(130) -> 186
, 2_2(131) -> 130
, 2_2(133) -> 135
, 2_2(136) -> 135
, 2_2(139) -> 138
, 2_2(142) -> 141
, 2_2(145) -> 144
, 2_2(148) -> 147
, 2_2(151) -> 150
, 2_2(154) -> 153
, 2_2(157) -> 199
, 2_2(158) -> 157
, 2_2(163) -> 162
, 2_2(166) -> 165
, 2_2(169) -> 168
, 2_2(172) -> 171
, 2_2(175) -> 174
, 2_2(178) -> 177
, 2_2(181) -> 180
, 2_2(184) -> 183
, 2_2(197) -> 196
, 2_2(210) -> 209
, 2_2(213) -> 212
, 2_2(216) -> 215
, 2_2(219) -> 218
, 2_2(222) -> 221
, 2_2(225) -> 224
, 2_2(228) -> 227
, 0^#_0(2) -> 1
, 0^#_1(4) -> 3
, 0^#_1(10) -> 9
, 0^#_1(13) -> 31
, 0^#_1(16) -> 32
, 0^#_1(19) -> 33
, 0^#_1(22) -> 34
, 0^#_1(25) -> 35
, 0^#_1(28) -> 36
, 0^#_2(44) -> 200
, 0^#_2(47) -> 187
, 0^#_2(56) -> 201
, 0^#_2(59) -> 249
, 0^#_2(62) -> 188
, 0^#_2(71) -> 202
, 0^#_2(74) -> 243
, 0^#_2(77) -> 250
, 0^#_2(80) -> 189
, 0^#_2(89) -> 203
, 0^#_2(92) -> 238
, 0^#_2(95) -> 244
, 0^#_2(98) -> 251
, 0^#_2(101) -> 190
, 0^#_2(110) -> 204
, 0^#_2(113) -> 234
, 0^#_2(116) -> 239
, 0^#_2(119) -> 245
, 0^#_2(122) -> 252
, 0^#_2(125) -> 191
, 0^#_2(134) -> 205
, 0^#_2(137) -> 231
, 0^#_2(140) -> 235
, 0^#_2(143) -> 240
, 0^#_2(146) -> 246
, 0^#_2(149) -> 253
, 0^#_2(152) -> 192
, 0^#_2(161) -> 206
, 0^#_2(164) -> 229
, 0^#_2(167) -> 232
, 0^#_2(170) -> 236
, 0^#_2(173) -> 241
, 0^#_2(176) -> 247
, 0^#_2(179) -> 254
, 0^#_2(182) -> 193
, 0^#_2(195) -> 194
, 0^#_2(208) -> 207
, 0^#_2(211) -> 230
, 0^#_2(214) -> 233
, 0^#_2(217) -> 237
, 0^#_2(220) -> 242
, 0^#_2(223) -> 248
, 0^#_2(226) -> 255
, c_0_1(3) -> 1
, c_0_2(187) -> 3
, c_0_2(188) -> 36
, c_0_2(189) -> 35
, c_0_2(190) -> 34
, c_0_2(191) -> 33
, c_0_2(192) -> 32
, c_0_2(193) -> 31
, c_0_2(194) -> 9
, c_1_1(36) -> 1
, c_1_2(200) -> 3
, c_1_2(249) -> 36
, c_1_2(250) -> 35
, c_1_2(251) -> 34
, c_1_2(252) -> 33
, c_1_2(253) -> 32
, c_1_2(254) -> 31
, c_1_2(255) -> 9
, c_2_1(35) -> 1
, c_2_2(200) -> 3
, c_2_2(201) -> 36
, c_2_2(243) -> 35
, c_2_2(244) -> 34
, c_2_2(245) -> 33
, c_2_2(246) -> 32
, c_2_2(247) -> 31
, c_2_2(248) -> 9
, c_3_1(34) -> 1
, c_3_2(200) -> 3
, c_3_2(201) -> 36
, c_3_2(202) -> 35
, c_3_2(238) -> 34
, c_3_2(239) -> 33
, c_3_2(240) -> 32
, c_3_2(241) -> 31
, c_3_2(242) -> 9
, c_4_1(33) -> 1
, c_4_2(200) -> 3
, c_4_2(201) -> 36
, c_4_2(202) -> 35
, c_4_2(203) -> 34
, c_4_2(234) -> 33
, c_4_2(235) -> 32
, c_4_2(236) -> 31
, c_4_2(237) -> 9
, c_5_1(32) -> 1
, c_5_2(200) -> 3
, c_5_2(201) -> 36
, c_5_2(202) -> 35
, c_5_2(203) -> 34
, c_5_2(204) -> 33
, c_5_2(231) -> 32
, c_5_2(232) -> 31
, c_5_2(233) -> 9
, c_6_1(31) -> 1
, c_6_2(200) -> 3
, c_6_2(201) -> 36
, c_6_2(202) -> 35
, c_6_2(203) -> 34
, c_6_2(204) -> 33
, c_6_2(205) -> 32
, c_6_2(229) -> 31
, c_6_2(230) -> 9
, c_7_1(9) -> 1
, c_7_2(200) -> 3
, c_7_2(201) -> 36
, c_7_2(202) -> 35
, c_7_2(203) -> 34
, c_7_2(204) -> 33
, c_7_2(205) -> 32
, c_7_2(206) -> 31
, c_7_2(207) -> 9}