Tue Feb 24 17:01:34 2026 markov_letters_test(): matplotlib version: 3.5.1 python version: 3.10.12 numpy version: 1.26.4 Test markov_letters(). unigram_frequency_print_test(): unigram analysis of "abc.txt" abc a 1 b 1 c 1 d 1 e 1 f 1 g 1 h 1 i 1 j 1 k 1 l 1 m 1 n 1 o 1 p 1 q 1 r 1 s 1 t 1 u 1 v 1 w 1 x 1 y 1 z 1 bigram_frequency_print_test(): bigram analysis of "abc.txt" abc.txt 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 a 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 b 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 c 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 d 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 e 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 f 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 g 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 h 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 i 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 l 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 m 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 o 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 p 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 r 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 s 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 t 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 u 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 v 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 w 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 x 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 y 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 unigram_frequency_print_test(): unigram analysis of "quick_brown_fox.txt" quick_brown_fox a 1 b 1 c 1 d 1 e 3 f 1 g 1 h 2 i 1 j 1 k 1 l 1 m 1 n 1 o 4 p 1 q 1 r 1 s 1 t 2 u 2 v 1 w 1 x 1 y 1 z 1 bigram_frequency_print_test(): bigram analysis of "quick_brown_fox.txt" quick_brown_fox.txt 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 a 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 b 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 c 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 d 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 e 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 f 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 g 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 h 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 i 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 k 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 l 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 m 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 p 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 r 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 s 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 t 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 u 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 v 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 w 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 x 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 unigram_frequency_print_test(): unigram analysis of "panjandrum.txt" panjandrum a 39 b 8 c 9 d 17 e 54 f 5 g 9 h 28 i 21 j 2 k 1 l 18 m 9 n 28 o 22 p 15 q 0 r 16 s 19 t 45 u 9 v 1 w 5 x 0 y 5 z 0 unigram_frequency_print_sorted_test(): unigram analysis of "panjandrum.txt" panjandrum_sorted e 54 t 45 a 39 h 28 n 28 o 22 i 21 s 19 l 18 d 17 r 16 p 15 c 9 g 9 m 9 u 9 b 8 y 5 f 5 w 5 j 2 k 1 v 1 q 0 x 0 z 0 unigram_frequency_plot_test(): Plot unigram frequency of "panjandrum.txt" Graphics saved as "panjandrum_frequency.png" bigram_frequency_print_test(): bigram analysis of "panjandrum.txt" panjandrum.txt 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 a 0 1 0 1 0 1 1 0 0 0 1 1 2 13 0 2 0 4 1 7 0 0 0 0 1 0 b 2 1 0 0 2 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 c 4 0 0 0 0 0 0 2 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 d 0 0 0 0 3 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 e 4 0 0 2 2 0 0 0 1 0 0 3 0 4 0 0 0 3 4 1 0 0 0 0 1 0 f 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 g 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 h 1 0 0 0 22 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 i 0 0 1 0 6 0 0 0 0 0 0 2 3 5 0 0 0 0 0 3 0 0 0 0 0 0 j 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 k 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 l 1 0 0 0 3 1 0 0 4 0 0 4 0 0 0 0 0 0 1 0 0 0 0 0 1 0 m 2 0 0 0 3 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 n 0 0 0 10 0 0 2 0 2 1 0 0 0 1 1 1 0 0 0 5 0 0 0 0 0 0 o 1 1 0 0 0 2 0 0 0 0 0 0 1 1 1 3 0 0 0 1 2 0 1 0 0 0 p 1 0 0 0 0 0 0 0 2 0 0 2 0 0 2 1 0 2 1 0 0 0 0 0 0 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 r 2 1 0 1 5 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 2 0 0 0 2 0 s 1 0 0 0 2 0 0 4 0 0 0 0 0 0 3 0 0 0 0 1 0 0 0 0 0 0 t 0 0 2 0 0 0 0 17 2 0 0 2 0 0 7 0 0 1 2 2 0 0 0 0 0 0 u 0 0 0 1 0 0 0 0 0 0 0 1 1 2 0 1 0 0 0 3 0 0 0 0 0 0 v 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 w 0 0 0 1 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 x 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 bigram_probability_print(): Analysis of "panjandrum.txt" 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 a 0 2 0 2 0 2 2 0 0 0 2 2 5 36 0 5 0 11 2 19 0 0 0 0 2 0 b 25 12 0 0 25 0 0 0 0 0 0 12 0 0 12 0 0 0 0 0 12 0 0 0 0 0 c 44 0 0 0 0 0 0 22 0 0 0 0 0 11 11 0 0 0 0 0 11 0 0 0 0 0 d 0 0 0 0 60 0 0 0 20 0 0 0 0 0 0 0 0 20 0 0 0 0 0 0 0 0 e 16 0 0 8 8 0 0 0 4 0 0 12 0 16 0 0 0 12 16 4 0 0 0 0 4 0 f 0 0 0 0100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 g 42 0 0 0 14 0 0 0 0 0 0 0 0 0 0 0 0 28 0 0 14 0 0 0 0 0 h 4 0 0 0 88 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 i 0 0 5 0 30 0 0 0 0 0 0 10 15 25 0 0 0 0 0 15 0 0 0 0 0 0 j 50 0 0 0 0 0 0 0 0 0 0 0 0 0 50 0 0 0 0 0 0 0 0 0 0 0 k 0 0 0 0100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 l 6 0 0 0 20 6 0 0 26 0 0 26 0 0 0 0 0 0 6 0 0 0 0 0 6 0 m 25 0 0 0 37 0 0 0 12 0 0 0 0 0 0 12 0 0 12 0 0 0 0 0 0 0 n 0 0 0 43 0 0 8 0 8 4 0 0 0 4 4 4 0 0 0 21 0 0 0 0 0 0 o 7 7 0 0 0 14 0 0 0 0 0 0 7 7 7 21 0 0 0 7 14 0 7 0 0 0 p 9 0 0 0 0 0 0 0 18 0 0 18 0 0 18 9 0 18 9 0 0 0 0 0 0 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 r 12 6 0 6 31 0 0 0 6 0 0 0 0 0 6 0 0 6 0 0 12 0 0 0 12 0 s 9 0 0 0 18 0 0 36 0 0 0 0 0 0 27 0 0 0 0 9 0 0 0 0 0 0 t 0 0 5 0 0 0 0 48 5 0 0 5 0 0 20 0 0 2 5 5 0 0 0 0 0 0 u 0 0 0 11 0 0 0 0 0 0 0 11 11 22 0 11 0 0 0 33 0 0 0 0 0 0 v 0 0 0 0100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 w 0 0 0 20 40 0 0 20 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 x 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y 0 0 0 0 0 0 0 0 50 0 0 0 0 0 0 0 0 0 0 0 50 0 0 0 0 0 z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 unigram_frequency_print_test(): unigram analysis of "alice_in_wonderland.txt" alice_in_wonderland a 8792 b 1477 c 2398 d 4930 e 13576 f 2000 g 2531 h 7375 i 7511 j 146 k 1158 l 4714 m 2104 n 7014 o 8144 p 1524 q 209 r 3908 s 6502 t 10688 u 3466 v 846 w 2676 x 148 y 2263 z 78 unigram_frequency_print_sorted_test(): unigram analysis of "alice_in_wonderland.txt" alice_in_wonderland_sorted e 13576 t 10688 a 8792 o 8144 i 7511 h 7375 n 7014 s 6502 d 4930 l 4714 r 3908 u 3466 w 2676 g 2531 c 2398 y 2263 m 2104 f 2000 p 1524 b 1477 k 1158 v 846 q 209 x 148 j 146 z 78 unigram_frequency_plot_test(): Plot unigram frequency of "alice_in_wonderland.txt" Graphics saved as "alice_in_wonderland_frequency.png" unigram_frequency_plot_test(): Plot sorted unigram frequency of "alice_in_wonderland.txt" Graphics saved as "alice_in_wonderland_sorted_frequency.png" bigram_probability_print(): Analysis of "alice_in_wonderland.txt" 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 a 0 2 1 5 0 0 2 0 8 0 1 11 2 20 0 1 0 7 11 14 0 2 0 0 3 0 b 5 4 0 0 35 0 0 0 7 0 0 7 0 0 13 0 0 4 1 0 13 0 0 0 5 0 c 12 0 0 0 29 0 0 18 1 0 7 2 0 0 14 0 0 4 0 3 4 0 0 0 0 0 d 4 0 0 3 26 0 1 0 13 0 0 3 0 3 25 0 0 5 5 0 3 1 0 0 2 0 e 11 0 1 13 7 1 1 0 1 0 0 6 3 13 0 2 0 13 8 4 0 2 0 1 3 0 f 9 0 0 0 12 10 0 0 14 0 0 2 0 0 27 0 0 7 0 6 8 0 0 0 0 0 g 14 0 0 0 19 0 1 20 5 0 0 4 0 0 13 0 0 13 4 0 2 0 0 0 0 0 h 17 0 0 0 56 0 0 0 11 0 0 0 0 0 8 0 0 1 0 3 0 0 0 0 0 0 i 0 0 8 10 2 2 3 0 0 0 1 4 3 29 2 0 0 1 8 19 0 0 0 0 0 0 j 4 0 0 0 13 0 0 0 0 0 0 0 0 0 11 0 0 0 0 0 69 0 0 0 0 0 k 1 0 0 0 47 0 0 0 27 0 0 2 0 17 0 0 0 0 2 0 0 0 0 0 1 0 l 7 0 0 8 18 3 0 0 21 0 1 16 0 0 7 0 0 0 1 1 0 0 0 0 10 0 m 17 3 0 0 32 0 0 0 9 0 0 0 0 0 17 4 0 0 1 0 7 0 0 0 3 0 n 1 0 3 25 11 0 22 0 3 0 2 1 0 1 10 0 0 0 2 9 1 0 0 0 1 0 o 0 0 1 1 0 9 0 0 1 0 3 2 4 16 6 1 0 5 1 6 23 1 8 0 0 0 p 8 0 0 0 21 0 0 4 9 0 0 13 0 0 13 8 0 6 2 4 5 0 0 0 1 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0100 0 0 0 0 0 r 6 0 1 4 29 0 1 0 9 0 1 1 1 2 8 1 0 2 8 6 2 0 0 0 9 0 s 15 0 0 0 18 0 0 20 5 0 1 1 0 1 9 1 0 0 4 14 3 0 0 0 0 0 t 3 0 0 0 10 0 0 47 6 0 0 3 0 0 13 0 0 2 2 4 2 0 1 0 0 0 u 0 1 5 1 5 0 5 0 2 0 0 11 1 8 0 7 0 13 14 19 0 0 0 0 0 0 v 2 0 0 0 82 0 0 0 7 0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 w 25 0 0 0 14 0 0 21 15 0 0 1 0 6 11 0 0 1 0 0 0 0 0 0 0 0 x 9 0 9 0 18 0 0 0 17 0 0 0 0 0 0 17 0 0 0 28 0 0 0 0 0 0 y 1 1 0 0 12 0 0 0 6 0 0 0 0 0 62 6 0 0 4 4 0 0 0 0 0 0 z 8 0 0 0 39 0 0 0 12 0 0 17 0 0 0 0 0 0 0 0 0 0 0 0 2 17 unigram_frequency_print_test(): unigram analysis of "die_verwandlung.txt" die_verwandlung a 5930 b 1707 c 3317 d 4599 e 18580 f 1649 g 3352 h 5232 i 7196 j 146 k 1206 l 3367 m 2765 n 9733 o 2542 p 482 q 9 r 4400 s 6831 t 5830 u 4649 v 821 w 1752 x 2 y 0 z 1383 unigram_frequency_print_sorted_test(): unigram analysis of "die_verwandlung.txt" die_verwandlung_sorted e 18580 n 9733 i 7196 s 6831 a 5930 t 5830 h 5232 u 4649 d 4599 r 4400 l 3367 g 3352 c 3317 m 2765 o 2542 w 1752 b 1707 f 1649 z 1383 k 1206 v 821 p 482 j 146 q 9 x 2 y 0 unigram_frequency_plot_test(): Plot unigram frequency of "die_verwandlung.txt" Graphics saved as "die_verwandlung_frequency.png" unigram_frequency_plot_test(): Plot sorted unigram frequency of "die_verwandlung.txt" Graphics saved as "die_verwandlung_sorted_frequency.png" bigram_frequency_print_test(): bigram analysis of "die_verwandlung.txt" die_verwandlung.txt 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 a 16315266 40587 62200143 0 0 7515195904 0 46 0246567413896 8 0 0 0 9 b 72 2 0 01073 1 9 5 60 0 1128 0 1 34 0 0110 57 30 13 1 4 0 0 6 c 0 0 0 0 2 0 02994 0 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 d616 3 14 11858 0 4 0872 1 2 34 2 12 79 0 0 89 10 6110 2 6 0 0 0 e 10370355229 402125545181739 0 475844453961 18 38 418341272473153 3119 1 0 26 f189 2 1 0258 96 29 5 52 1 1 69 12 42 77 0 0164 22130146 0 1 0 0 21 g206 0 0 01409 8 7 0 34 0 15139 0 12278 0 0368 96193 71 0 1 0 0 1 h578 4 2 7833 4 7 2264 1 19258158270252 0 1282 46711 64 2174 0 0 18 i 0 411273 461844 32411345 3 0 51743521534 19 2 0 62343551 3 5 2 1 0 3 j 57 0 0 0 83 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 k133 6 2 1273 0 11 5 17 0 4127 0 15210 0 0 62 34104 87 0 6 0 0 8 l355 60 40 67642 22 31 1603 0 6436 10 32114 1 0 1203315109 1 1 0 0 19 m285 3 0 16532 5 6 1332 0 5 7316 4 80 25 0 1 43 34213 0 1 0 0 3 n251 76 241292876 52608 26412 1105 38 48389120 4 0 14226344309 11 21 0 0182 o 1 62191 47326 62 53153 0 0 44198 85325 0 51 0334131 63 0 2 3 0 0 0 p 52 0 0 0 91108 0 3 43 0 0 25 0 0 7 32 0 91 1 14 11 0 0 0 0 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0 0 0 r391 76 722001100 91135107280 4106111 71141168 22 0 89364316358 18 64 0 0 78 s304 16856 3977 8 33 17750 0 3 17 9 1291117 0 97271059 42 2 13 0 0 11 t224 8 1 52293 18 16 18217 0 3 60 17 15 55 3 0188112487224 3 39 0 0178 u 4 25205 17925367114 73 2 0 15 392591269 1 13 0224366190 3 2 7 0 0 5 v108 0 0 0298 0 0 0 97 0 0 0 0 0316 0 0 2 0 0 0 0 0 0 0 0 w546 0 0 0544 0 0 0311 0 0 0 0 0245 0 0 0 0 0106 0 0 0 0 0 x 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 z 15 1 0 18194 0 0 2187 0 0 32 1 0 24 0 0 0 1 99648 0 65 0 0 0 bigram_probability_print(): Analysis of "die_verwandlung.txt" 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 a 0 5 4 0 10 1 3 2 0 0 0 9 3 16 0 0 0 4 10 7 16 0 0 0 0 0 b 4 0 0 0 66 0 0 0 3 0 0 7 0 0 2 0 0 6 3 1 0 0 0 0 0 0 c 0 0 0 0 0 0 0 90 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 d 16 0 0 0 49 0 0 0 23 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 e 0 2 2 1 0 1 4 3 13 0 0 4 3 30 0 0 0 14 9 3 1 0 0 0 0 0 f 14 0 0 0 19 7 2 0 3 0 0 5 0 3 5 0 0 12 1 9 11 0 0 0 0 1 g 7 0 0 0 49 0 0 0 1 0 0 4 0 0 9 0 0 12 3 6 2 0 0 0 0 0 h 14 0 0 0 21 0 0 0 6 0 0 6 3 6 6 0 0 7 1 17 1 0 4 0 0 0 i 0 0 18 0 26 0 5 4 0 0 0 2 4 21 0 0 0 0 4 7 0 0 0 0 0 0 j 39 0 0 0 56 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 k 12 0 0 0 24 0 0 0 1 0 0 11 0 1 19 0 0 5 3 9 7 0 0 0 0 0 l 11 1 1 2 20 0 1 0 19 0 0 14 0 1 3 0 0 0 6 10 3 0 0 0 0 0 m 14 0 0 0 27 0 0 0 17 0 0 0 16 0 4 1 0 0 2 1 11 0 0 0 0 0 n 4 1 0 23 16 0 11 0 7 0 1 0 0 7 2 0 0 0 4 6 5 0 0 0 0 3 o 0 2 8 2 15 2 2 7 0 0 2 9 3 15 0 2 0 15 6 2 0 0 0 0 0 0 p 10 0 0 0 19 22 0 0 8 0 0 5 0 0 1 6 0 19 0 2 2 0 0 0 0 0 q 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0100 0 0 0 0 0 r 8 1 1 4 25 2 3 2 6 0 2 2 1 3 3 0 0 2 8 7 8 0 1 0 0 1 s 5 0 16 0 18 0 0 0 14 0 0 0 0 0 5 2 0 0 13 20 0 0 0 0 0 0 t 5 0 0 0 54 0 0 0 5 0 0 1 0 0 1 0 0 4 2 11 5 0 0 0 0 4 u 0 0 4 0 22 8 2 1 0 0 0 0 6 30 0 0 0 5 8 4 0 0 0 0 0 0 v 13 0 0 0 36 0 0 0 11 0 0 0 0 0 38 0 0 0 0 0 0 0 0 0 0 0 w 31 0 0 0 31 0 0 0 17 0 0 0 0 0 13 0 0 0 0 0 6 0 0 0 0 0 x 0 0 0 0 50 0 0 0 50 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 z 1 0 0 1 15 0 0 0 14 0 0 2 0 0 1 0 0 0 0 7 50 0 5 0 0 0 markov_letters_test(): Normal end of execution. Tue Feb 24 17:01:36 2026