Begin: S=0.98536036036036, T=0.0146396396396396
[1:K]S -> S: 0.071 * 0.99 * 9.85360e-01 = 6.95410e-02
[1:K]T -> S: 0.071 * 0.05 * 1.46396e-02 = 4.95433e-05
MAX PATH to S: SS, S2 = 6.95410e-02
[1:K]S -> T: 0.009 * 0.01 * 9.85360e-01 = 1.16018e-04
[1:K]T -> T: 0.009 * 0.95 * 1.46396e-02 = 1.28430e-04
MAX PATH to T: TT, T2 = 1.28430e-04

[2:K]S -> S: 0.071 * 0.99 * 6.95410e-02 = 4.90780e-03
[2:K]T -> S: 0.071 * 0.05 * 1.28430e-04 = 4.34632e-07
MAX PATH to S: SS, S3 = 4.90780e-03
[2:K]S -> T: 0.009 * 0.01 * 6.95410e-02 = 8.18789e-06
[2:K]T -> T: 0.009 * 0.95 * 1.28430e-04 = 1.12669e-06
MAX PATH to T: ST, T3 = 8.18789e-06

[3:I]S -> S: 0.059 * 0.99 * 4.90780e-03 = 2.84094e-04
[3:I]T -> S: 0.059 * 0.05 * 8.18789e-06 = 2.27277e-08
MAX PATH to S: SS, S4 = 2.84094e-04
[3:I]S -> T: 0.129 * 0.01 * 4.90780e-03 = 8.07935e-06
[3:I]T -> T: 0.129 * 0.95 * 8.18789e-06 = 1.00431e-06
MAX PATH to T: ST, T4 = 8.07935e-06

[4:I]S -> S: 0.059 * 0.99 * 2.84094e-04 = 1.64451e-05
[4:I]T -> S: 0.059 * 0.05 * 8.07935e-06 = 2.24265e-08
MAX PATH to S: SS, S5 = 1.64451e-05
[4:I]S -> T: 0.129 * 0.01 * 2.84094e-04 = 4.67683e-07
[4:I]T -> T: 0.129 * 0.95 * 8.07935e-06 = 9.90997e-07
MAX PATH to T: TT, T5 = 9.90997e-07

[5:F]S -> S: 0.047 * 0.99 * 1.64451e-05 = 7.54933e-07
[5:F]T -> S: 0.047 * 0.05 * 9.90997e-07 = 2.18149e-09
MAX PATH to S: SS, S6 = 7.54933e-07
[5:F]S -> T: 0.107 * 0.01 * 1.64451e-05 = 2.25489e-08
[5:F]T -> T: 0.107 * 0.95 * 9.90997e-07 = 1.01243e-07
MAX PATH to T: TT, T6 = 1.01243e-07

[6:F]S -> S: 0.047 * 0.99 * 7.54933e-07 = 3.46561e-08
[6:F]T -> S: 0.047 * 0.05 * 1.01243e-07 = 2.22868e-10
MAX PATH to S: SS, S7 = 3.46561e-08
[6:F]S -> T: 0.107 * 0.01 * 7.54933e-07 = 1.03513e-09
[6:F]T -> T: 0.107 * 0.95 * 1.01243e-07 = 1.03433e-08
MAX PATH to T: TT, T7 = 1.03433e-08

[7:F]S -> S: 0.047 * 0.99 * 3.46561e-08 = 1.59093e-09
[7:F]T -> S: 0.047 * 0.05 * 1.03433e-08 = 2.27689e-11
MAX PATH to S: SS, S8 = 1.59093e-09
[7:F]S -> T: 0.107 * 0.01 * 3.46561e-08 = 4.75191e-11
[7:F]T -> T: 0.107 * 0.95 * 1.03433e-08 = 1.05671e-09
MAX PATH to T: TT, T8 = 1.05671e-09

[8:F]S -> S: 0.047 * 0.99 * 1.59093e-09 = 7.30337e-11
[8:F]T -> S: 0.047 * 0.05 * 1.05671e-09 = 2.32614e-12
MAX PATH to S: SS, S9 = 7.30337e-11
[8:F]S -> T: 0.107 * 0.01 * 1.59093e-09 = 2.18142e-12
[8:F]T -> T: 0.107 * 0.95 * 1.05671e-09 = 1.07956e-10
MAX PATH to T: TT, T9 = 1.07956e-10

[9:L]S -> S: 0.089 * 0.99 * 7.30337e-11 = 6.41238e-12
[9:L]T -> S: 0.089 * 0.05 * 1.07956e-10 = 4.54520e-13
MAX PATH to S: SS, S10 = 6.41238e-12
[9:L]S -> T: 0.158 * 0.01 * 7.30337e-11 = 1.47552e-13
[9:L]T -> T: 0.158 * 0.95 * 1.07956e-10 = 1.62508e-11
MAX PATH to T: TT, T10 = 1.62508e-11

Final state: T (v= 1.62508338267253e-11)

[Output]
KKIIFFFFL
SSTTTTTTT