01101 durch 1000 sondern 11011xxxxx durch 100000Jetzt kommt allerdings ein Spezialfall. Bisher hatte ich eine Zahl bei der war die Breite an Ziffern quasi also an Stellen des doppelte von dem divisor von der Breite des Dividenden. Frage, was passiert, wenn der Dividend dreimal so breit ist das Spiel bei der Frage mit dem 11 eine Rolle
#include <stdio.h> int main (void) { int x; int x1, x2; for (x = 0; x <= 255; x++) { printf ("%i/17 = %i, %i mod 17 = %i, ", x, (x1 = x/17), x, x2 = (x % 17)); printf ("17 * %i + %i = %i\n", x1, x2, 17*x1+x2); printf ("%i/16 = %i, %i mod 16 = %i, ", x, (x1 = x/16), x, x2 = (x % 16)); printf ("16 * %i + %i = %i\n", x1, x2, 16*x1+x2); printf ("%i - %i = %i\n\n", (((x & 0xf0) >> 4) & 0x0f) - (x & 0x0f)); } }ich habe ein programm geschrieben um das ganze zu ueberpruefen, ich mache kurz pause, dann denke ich darueber nach
0/17 = 0, 0 mod 17 = 0, 17 * 0 + 0 = 0 0/16 = 0, 0 mod 16 = 0, 16 * 0 + 0 = 0 0 - 0 = 0 1/17 = 0, 1 mod 17 = 1, 17 * 0 + 1 = 1 1/16 = 0, 1 mod 16 = 1, 16 * 0 + 1 = 1 -1 - 1 = 0 2/17 = 0, 2 mod 17 = 2, 17 * 0 + 2 = 2 2/16 = 0, 2 mod 16 = 2, 16 * 0 + 2 = 2 -2 - 2 = 0 3/17 = 0, 3 mod 17 = 3, 17 * 0 + 3 = 3 3/16 = 0, 3 mod 16 = 3, 16 * 0 + 3 = 3 -3 - 3 = 0 4/17 = 0, 4 mod 17 = 4, 17 * 0 + 4 = 4 4/16 = 0, 4 mod 16 = 4, 16 * 0 + 4 = 4 -4 - 4 = 0 5/17 = 0, 5 mod 17 = 5, 17 * 0 + 5 = 5 5/16 = 0, 5 mod 16 = 5, 16 * 0 + 5 = 5 -5 - 5 = 0 6/17 = 0, 6 mod 17 = 6, 17 * 0 + 6 = 6 6/16 = 0, 6 mod 16 = 6, 16 * 0 + 6 = 6 -6 - 6 = 0 7/17 = 0, 7 mod 17 = 7, 17 * 0 + 7 = 7 7/16 = 0, 7 mod 16 = 7, 16 * 0 + 7 = 7 -7 - 7 = 0 8/17 = 0, 8 mod 17 = 8, 17 * 0 + 8 = 8 8/16 = 0, 8 mod 16 = 8, 16 * 0 + 8 = 8 -8 - 8 = 0 9/17 = 0, 9 mod 17 = 9, 17 * 0 + 9 = 9 9/16 = 0, 9 mod 16 = 9, 16 * 0 + 9 = 9 -9 - 9 = 0 10/17 = 0, 10 mod 17 = 10, 17 * 0 + 10 = 10 10/16 = 0, 10 mod 16 = 10, 16 * 0 + 10 = 10 -10 - 10 = 0 11/17 = 0, 11 mod 17 = 11, 17 * 0 + 11 = 11 11/16 = 0, 11 mod 16 = 11, 16 * 0 + 11 = 11 -11 - 11 = 0 12/17 = 0, 12 mod 17 = 12, 17 * 0 + 12 = 12 12/16 = 0, 12 mod 16 = 12, 16 * 0 + 12 = 12 -12 - 12 = 0 13/17 = 0, 13 mod 17 = 13, 17 * 0 + 13 = 13 13/16 = 0, 13 mod 16 = 13, 16 * 0 + 13 = 13 -13 - 13 = 0 14/17 = 0, 14 mod 17 = 14, 17 * 0 + 14 = 14 14/16 = 0, 14 mod 16 = 14, 16 * 0 + 14 = 14 -14 - 14 = 0 15/17 = 0, 15 mod 17 = 15, 17 * 0 + 15 = 15 15/16 = 0, 15 mod 16 = 15, 16 * 0 + 15 = 15 -15 - 15 = 0 16/17 = 0, 16 mod 17 = 16, 17 * 0 + 16 = 16 16/16 = 1, 16 mod 16 = 0, 16 * 1 + 0 = 16 1 - 0 = 1 17/17 = 1, 17 mod 17 = 0, 17 * 1 + 0 = 17 17/16 = 1, 17 mod 16 = 1, 16 * 1 + 1 = 17 0 - 1 = 1 18/17 = 1, 18 mod 17 = 1, 17 * 1 + 1 = 18 18/16 = 1, 18 mod 16 = 2, 16 * 1 + 2 = 18 -1 - 2 = 1 19/17 = 1, 19 mod 17 = 2, 17 * 1 + 2 = 19 19/16 = 1, 19 mod 16 = 3, 16 * 1 + 3 = 19 -2 - 3 = 1 20/17 = 1, 20 mod 17 = 3, 17 * 1 + 3 = 20 20/16 = 1, 20 mod 16 = 4, 16 * 1 + 4 = 20 -3 - 4 = 1 21/17 = 1, 21 mod 17 = 4, 17 * 1 + 4 = 21 21/16 = 1, 21 mod 16 = 5, 16 * 1 + 5 = 21 -4 - 5 = 1 22/17 = 1, 22 mod 17 = 5, 17 * 1 + 5 = 22 22/16 = 1, 22 mod 16 = 6, 16 * 1 + 6 = 22 -5 - 6 = 1 23/17 = 1, 23 mod 17 = 6, 17 * 1 + 6 = 23 23/16 = 1, 23 mod 16 = 7, 16 * 1 + 7 = 23 -6 - 7 = 1 24/17 = 1, 24 mod 17 = 7, 17 * 1 + 7 = 24 24/16 = 1, 24 mod 16 = 8, 16 * 1 + 8 = 24 -7 - 8 = 1 25/17 = 1, 25 mod 17 = 8, 17 * 1 + 8 = 25 25/16 = 1, 25 mod 16 = 9, 16 * 1 + 9 = 25 -8 - 9 = 1 26/17 = 1, 26 mod 17 = 9, 17 * 1 + 9 = 26 26/16 = 1, 26 mod 16 = 10, 16 * 1 + 10 = 26 -9 - 10 = 1 27/17 = 1, 27 mod 17 = 10, 17 * 1 + 10 = 27 27/16 = 1, 27 mod 16 = 11, 16 * 1 + 11 = 27 -10 - 11 = 1 28/17 = 1, 28 mod 17 = 11, 17 * 1 + 11 = 28 28/16 = 1, 28 mod 16 = 12, 16 * 1 + 12 = 28 -11 - 12 = 1 29/17 = 1, 29 mod 17 = 12, 17 * 1 + 12 = 29 29/16 = 1, 29 mod 16 = 13, 16 * 1 + 13 = 29 -12 - 13 = 1 30/17 = 1, 30 mod 17 = 13, 17 * 1 + 13 = 30 30/16 = 1, 30 mod 16 = 14, 16 * 1 + 14 = 30 -13 - 14 = 1 31/17 = 1, 31 mod 17 = 14, 17 * 1 + 14 = 31 31/16 = 1, 31 mod 16 = 15, 16 * 1 + 15 = 31 -14 - 15 = 1 32/17 = 1, 32 mod 17 = 15, 17 * 1 + 15 = 32 32/16 = 2, 32 mod 16 = 0, 16 * 2 + 0 = 32 2 - 0 = 2 33/17 = 1, 33 mod 17 = 16, 17 * 1 + 16 = 33 33/16 = 2, 33 mod 16 = 1, 16 * 2 + 1 = 33 1 - 1 = 2 34/17 = 2, 34 mod 17 = 0, 17 * 2 + 0 = 34 34/16 = 2, 34 mod 16 = 2, 16 * 2 + 2 = 34 0 - 2 = 2 35/17 = 2, 35 mod 17 = 1, 17 * 2 + 1 = 35 35/16 = 2, 35 mod 16 = 3, 16 * 2 + 3 = 35 -1 - 3 = 2 36/17 = 2, 36 mod 17 = 2, 17 * 2 + 2 = 36 36/16 = 2, 36 mod 16 = 4, 16 * 2 + 4 = 36 -2 - 4 = 2 37/17 = 2, 37 mod 17 = 3, 17 * 2 + 3 = 37 37/16 = 2, 37 mod 16 = 5, 16 * 2 + 5 = 37 -3 - 5 = 2 38/17 = 2, 38 mod 17 = 4, 17 * 2 + 4 = 38 38/16 = 2, 38 mod 16 = 6, 16 * 2 + 6 = 38 -4 - 6 = 2 39/17 = 2, 39 mod 17 = 5, 17 * 2 + 5 = 39 39/16 = 2, 39 mod 16 = 7, 16 * 2 + 7 = 39 -5 - 7 = 2 40/17 = 2, 40 mod 17 = 6, 17 * 2 + 6 = 40 40/16 = 2, 40 mod 16 = 8, 16 * 2 + 8 = 40 -6 - 8 = 2 41/17 = 2, 41 mod 17 = 7, 17 * 2 + 7 = 41 41/16 = 2, 41 mod 16 = 9, 16 * 2 + 9 = 41 -7 - 9 = 2 42/17 = 2, 42 mod 17 = 8, 17 * 2 + 8 = 42 42/16 = 2, 42 mod 16 = 10, 16 * 2 + 10 = 42 -8 - 10 = 2 43/17 = 2, 43 mod 17 = 9, 17 * 2 + 9 = 43 43/16 = 2, 43 mod 16 = 11, 16 * 2 + 11 = 43 -9 - 11 = 2 44/17 = 2, 44 mod 17 = 10, 17 * 2 + 10 = 44 44/16 = 2, 44 mod 16 = 12, 16 * 2 + 12 = 44 -10 - 12 = 2 45/17 = 2, 45 mod 17 = 11, 17 * 2 + 11 = 45 45/16 = 2, 45 mod 16 = 13, 16 * 2 + 13 = 45 -11 - 13 = 2 46/17 = 2, 46 mod 17 = 12, 17 * 2 + 12 = 46 46/16 = 2, 46 mod 16 = 14, 16 * 2 + 14 = 46 -12 - 14 = 2 47/17 = 2, 47 mod 17 = 13, 17 * 2 + 13 = 47 47/16 = 2, 47 mod 16 = 15, 16 * 2 + 15 = 47 -13 - 15 = 2 48/17 = 2, 48 mod 17 = 14, 17 * 2 + 14 = 48 48/16 = 3, 48 mod 16 = 0, 16 * 3 + 0 = 48 3 - 0 = 3 49/17 = 2, 49 mod 17 = 15, 17 * 2 + 15 = 49 49/16 = 3, 49 mod 16 = 1, 16 * 3 + 1 = 49 2 - 1 = 3 50/17 = 2, 50 mod 17 = 16, 17 * 2 + 16 = 50 50/16 = 3, 50 mod 16 = 2, 16 * 3 + 2 = 50 1 - 2 = 3 51/17 = 3, 51 mod 17 = 0, 17 * 3 + 0 = 51 51/16 = 3, 51 mod 16 = 3, 16 * 3 + 3 = 51 0 - 3 = 3 52/17 = 3, 52 mod 17 = 1, 17 * 3 + 1 = 52 52/16 = 3, 52 mod 16 = 4, 16 * 3 + 4 = 52 -1 - 4 = 3 53/17 = 3, 53 mod 17 = 2, 17 * 3 + 2 = 53 53/16 = 3, 53 mod 16 = 5, 16 * 3 + 5 = 53 -2 - 5 = 3 54/17 = 3, 54 mod 17 = 3, 17 * 3 + 3 = 54 54/16 = 3, 54 mod 16 = 6, 16 * 3 + 6 = 54 -3 - 6 = 3 55/17 = 3, 55 mod 17 = 4, 17 * 3 + 4 = 55 55/16 = 3, 55 mod 16 = 7, 16 * 3 + 7 = 55 -4 - 7 = 3 56/17 = 3, 56 mod 17 = 5, 17 * 3 + 5 = 56 56/16 = 3, 56 mod 16 = 8, 16 * 3 + 8 = 56 -5 - 8 = 3 57/17 = 3, 57 mod 17 = 6, 17 * 3 + 6 = 57 57/16 = 3, 57 mod 16 = 9, 16 * 3 + 9 = 57 -6 - 9 = 3 58/17 = 3, 58 mod 17 = 7, 17 * 3 + 7 = 58 58/16 = 3, 58 mod 16 = 10, 16 * 3 + 10 = 58 -7 - 10 = 3 59/17 = 3, 59 mod 17 = 8, 17 * 3 + 8 = 59 59/16 = 3, 59 mod 16 = 11, 16 * 3 + 11 = 59 -8 - 11 = 3 60/17 = 3, 60 mod 17 = 9, 17 * 3 + 9 = 60 60/16 = 3, 60 mod 16 = 12, 16 * 3 + 12 = 60 -9 - 12 = 3 61/17 = 3, 61 mod 17 = 10, 17 * 3 + 10 = 61 61/16 = 3, 61 mod 16 = 13, 16 * 3 + 13 = 61 -10 - 13 = 3 62/17 = 3, 62 mod 17 = 11, 17 * 3 + 11 = 62 62/16 = 3, 62 mod 16 = 14, 16 * 3 + 14 = 62 -11 - 14 = 3 63/17 = 3, 63 mod 17 = 12, 17 * 3 + 12 = 63 63/16 = 3, 63 mod 16 = 15, 16 * 3 + 15 = 63 -12 - 15 = 3 64/17 = 3, 64 mod 17 = 13, 17 * 3 + 13 = 64 64/16 = 4, 64 mod 16 = 0, 16 * 4 + 0 = 64 4 - 0 = 4 65/17 = 3, 65 mod 17 = 14, 17 * 3 + 14 = 65 65/16 = 4, 65 mod 16 = 1, 16 * 4 + 1 = 65 3 - 1 = 4 66/17 = 3, 66 mod 17 = 15, 17 * 3 + 15 = 66 66/16 = 4, 66 mod 16 = 2, 16 * 4 + 2 = 66 2 - 2 = 4 67/17 = 3, 67 mod 17 = 16, 17 * 3 + 16 = 67 67/16 = 4, 67 mod 16 = 3, 16 * 4 + 3 = 67 1 - 3 = 4 68/17 = 4, 68 mod 17 = 0, 17 * 4 + 0 = 68 68/16 = 4, 68 mod 16 = 4, 16 * 4 + 4 = 68 0 - 4 = 4 69/17 = 4, 69 mod 17 = 1, 17 * 4 + 1 = 69 69/16 = 4, 69 mod 16 = 5, 16 * 4 + 5 = 69 -1 - 5 = 4 70/17 = 4, 70 mod 17 = 2, 17 * 4 + 2 = 70 70/16 = 4, 70 mod 16 = 6, 16 * 4 + 6 = 70 -2 - 6 = 4 71/17 = 4, 71 mod 17 = 3, 17 * 4 + 3 = 71 71/16 = 4, 71 mod 16 = 7, 16 * 4 + 7 = 71 -3 - 7 = 4 72/17 = 4, 72 mod 17 = 4, 17 * 4 + 4 = 72 72/16 = 4, 72 mod 16 = 8, 16 * 4 + 8 = 72 -4 - 8 = 4 73/17 = 4, 73 mod 17 = 5, 17 * 4 + 5 = 73 73/16 = 4, 73 mod 16 = 9, 16 * 4 + 9 = 73 -5 - 9 = 4 74/17 = 4, 74 mod 17 = 6, 17 * 4 + 6 = 74 74/16 = 4, 74 mod 16 = 10, 16 * 4 + 10 = 74 -6 - 10 = 4 75/17 = 4, 75 mod 17 = 7, 17 * 4 + 7 = 75 75/16 = 4, 75 mod 16 = 11, 16 * 4 + 11 = 75 -7 - 11 = 4 76/17 = 4, 76 mod 17 = 8, 17 * 4 + 8 = 76 76/16 = 4, 76 mod 16 = 12, 16 * 4 + 12 = 76 -8 - 12 = 4 77/17 = 4, 77 mod 17 = 9, 17 * 4 + 9 = 77 77/16 = 4, 77 mod 16 = 13, 16 * 4 + 13 = 77 -9 - 13 = 4 78/17 = 4, 78 mod 17 = 10, 17 * 4 + 10 = 78 78/16 = 4, 78 mod 16 = 14, 16 * 4 + 14 = 78 -10 - 14 = 4 79/17 = 4, 79 mod 17 = 11, 17 * 4 + 11 = 79 79/16 = 4, 79 mod 16 = 15, 16 * 4 + 15 = 79 -11 - 15 = 4 80/17 = 4, 80 mod 17 = 12, 17 * 4 + 12 = 80 80/16 = 5, 80 mod 16 = 0, 16 * 5 + 0 = 80 5 - 0 = 5 81/17 = 4, 81 mod 17 = 13, 17 * 4 + 13 = 81 81/16 = 5, 81 mod 16 = 1, 16 * 5 + 1 = 81 4 - 1 = 5 82/17 = 4, 82 mod 17 = 14, 17 * 4 + 14 = 82 82/16 = 5, 82 mod 16 = 2, 16 * 5 + 2 = 82 3 - 2 = 5 83/17 = 4, 83 mod 17 = 15, 17 * 4 + 15 = 83 83/16 = 5, 83 mod 16 = 3, 16 * 5 + 3 = 83 2 - 3 = 5 84/17 = 4, 84 mod 17 = 16, 17 * 4 + 16 = 84 84/16 = 5, 84 mod 16 = 4, 16 * 5 + 4 = 84 1 - 4 = 5 85/17 = 5, 85 mod 17 = 0, 17 * 5 + 0 = 85 85/16 = 5, 85 mod 16 = 5, 16 * 5 + 5 = 85 0 - 5 = 5 86/17 = 5, 86 mod 17 = 1, 17 * 5 + 1 = 86 86/16 = 5, 86 mod 16 = 6, 16 * 5 + 6 = 86 -1 - 6 = 5 87/17 = 5, 87 mod 17 = 2, 17 * 5 + 2 = 87 87/16 = 5, 87 mod 16 = 7, 16 * 5 + 7 = 87 -2 - 7 = 5 88/17 = 5, 88 mod 17 = 3, 17 * 5 + 3 = 88 88/16 = 5, 88 mod 16 = 8, 16 * 5 + 8 = 88 -3 - 8 = 5 89/17 = 5, 89 mod 17 = 4, 17 * 5 + 4 = 89 89/16 = 5, 89 mod 16 = 9, 16 * 5 + 9 = 89 -4 - 9 = 5 90/17 = 5, 90 mod 17 = 5, 17 * 5 + 5 = 90 90/16 = 5, 90 mod 16 = 10, 16 * 5 + 10 = 90 -5 - 10 = 5 91/17 = 5, 91 mod 17 = 6, 17 * 5 + 6 = 91 91/16 = 5, 91 mod 16 = 11, 16 * 5 + 11 = 91 -6 - 11 = 5 92/17 = 5, 92 mod 17 = 7, 17 * 5 + 7 = 92 92/16 = 5, 92 mod 16 = 12, 16 * 5 + 12 = 92 -7 - 12 = 5 93/17 = 5, 93 mod 17 = 8, 17 * 5 + 8 = 93 93/16 = 5, 93 mod 16 = 13, 16 * 5 + 13 = 93 -8 - 13 = 5 94/17 = 5, 94 mod 17 = 9, 17 * 5 + 9 = 94 94/16 = 5, 94 mod 16 = 14, 16 * 5 + 14 = 94 -9 - 14 = 5 95/17 = 5, 95 mod 17 = 10, 17 * 5 + 10 = 95 95/16 = 5, 95 mod 16 = 15, 16 * 5 + 15 = 95 -10 - 15 = 5 96/17 = 5, 96 mod 17 = 11, 17 * 5 + 11 = 96 96/16 = 6, 96 mod 16 = 0, 16 * 6 + 0 = 96 6 - 0 = 6 97/17 = 5, 97 mod 17 = 12, 17 * 5 + 12 = 97 97/16 = 6, 97 mod 16 = 1, 16 * 6 + 1 = 97 5 - 1 = 6 98/17 = 5, 98 mod 17 = 13, 17 * 5 + 13 = 98 98/16 = 6, 98 mod 16 = 2, 16 * 6 + 2 = 98 4 - 2 = 6 99/17 = 5, 99 mod 17 = 14, 17 * 5 + 14 = 99 99/16 = 6, 99 mod 16 = 3, 16 * 6 + 3 = 99 3 - 3 = 6 100/17 = 5, 100 mod 17 = 15, 17 * 5 + 15 = 100 100/16 = 6, 100 mod 16 = 4, 16 * 6 + 4 = 100 2 - 4 = 6 101/17 = 5, 101 mod 17 = 16, 17 * 5 + 16 = 101 101/16 = 6, 101 mod 16 = 5, 16 * 6 + 5 = 101 1 - 5 = 6 102/17 = 6, 102 mod 17 = 0, 17 * 6 + 0 = 102 102/16 = 6, 102 mod 16 = 6, 16 * 6 + 6 = 102 0 - 6 = 6 103/17 = 6, 103 mod 17 = 1, 17 * 6 + 1 = 103 103/16 = 6, 103 mod 16 = 7, 16 * 6 + 7 = 103 -1 - 7 = 6 104/17 = 6, 104 mod 17 = 2, 17 * 6 + 2 = 104 104/16 = 6, 104 mod 16 = 8, 16 * 6 + 8 = 104 -2 - 8 = 6 105/17 = 6, 105 mod 17 = 3, 17 * 6 + 3 = 105 105/16 = 6, 105 mod 16 = 9, 16 * 6 + 9 = 105 -3 - 9 = 6 106/17 = 6, 106 mod 17 = 4, 17 * 6 + 4 = 106 106/16 = 6, 106 mod 16 = 10, 16 * 6 + 10 = 106 -4 - 10 = 6 107/17 = 6, 107 mod 17 = 5, 17 * 6 + 5 = 107 107/16 = 6, 107 mod 16 = 11, 16 * 6 + 11 = 107 -5 - 11 = 6 108/17 = 6, 108 mod 17 = 6, 17 * 6 + 6 = 108 108/16 = 6, 108 mod 16 = 12, 16 * 6 + 12 = 108 -6 - 12 = 6 109/17 = 6, 109 mod 17 = 7, 17 * 6 + 7 = 109 109/16 = 6, 109 mod 16 = 13, 16 * 6 + 13 = 109 -7 - 13 = 6 110/17 = 6, 110 mod 17 = 8, 17 * 6 + 8 = 110 110/16 = 6, 110 mod 16 = 14, 16 * 6 + 14 = 110 -8 - 14 = 6 111/17 = 6, 111 mod 17 = 9, 17 * 6 + 9 = 111 111/16 = 6, 111 mod 16 = 15, 16 * 6 + 15 = 111 -9 - 15 = 6 112/17 = 6, 112 mod 17 = 10, 17 * 6 + 10 = 112 112/16 = 7, 112 mod 16 = 0, 16 * 7 + 0 = 112 7 - 0 = 7 113/17 = 6, 113 mod 17 = 11, 17 * 6 + 11 = 113 113/16 = 7, 113 mod 16 = 1, 16 * 7 + 1 = 113 6 - 1 = 7 114/17 = 6, 114 mod 17 = 12, 17 * 6 + 12 = 114 114/16 = 7, 114 mod 16 = 2, 16 * 7 + 2 = 114 5 - 2 = 7 115/17 = 6, 115 mod 17 = 13, 17 * 6 + 13 = 115 115/16 = 7, 115 mod 16 = 3, 16 * 7 + 3 = 115 4 - 3 = 7 116/17 = 6, 116 mod 17 = 14, 17 * 6 + 14 = 116 116/16 = 7, 116 mod 16 = 4, 16 * 7 + 4 = 116 3 - 4 = 7 117/17 = 6, 117 mod 17 = 15, 17 * 6 + 15 = 117 117/16 = 7, 117 mod 16 = 5, 16 * 7 + 5 = 117 2 - 5 = 7 118/17 = 6, 118 mod 17 = 16, 17 * 6 + 16 = 118 118/16 = 7, 118 mod 16 = 6, 16 * 7 + 6 = 118 1 - 6 = 7 119/17 = 7, 119 mod 17 = 0, 17 * 7 + 0 = 119 119/16 = 7, 119 mod 16 = 7, 16 * 7 + 7 = 119 0 - 7 = 7 120/17 = 7, 120 mod 17 = 1, 17 * 7 + 1 = 120 120/16 = 7, 120 mod 16 = 8, 16 * 7 + 8 = 120 -1 - 8 = 7 121/17 = 7, 121 mod 17 = 2, 17 * 7 + 2 = 121 121/16 = 7, 121 mod 16 = 9, 16 * 7 + 9 = 121 -2 - 9 = 7 122/17 = 7, 122 mod 17 = 3, 17 * 7 + 3 = 122 122/16 = 7, 122 mod 16 = 10, 16 * 7 + 10 = 122 -3 - 10 = 7 123/17 = 7, 123 mod 17 = 4, 17 * 7 + 4 = 123 123/16 = 7, 123 mod 16 = 11, 16 * 7 + 11 = 123 -4 - 11 = 7 124/17 = 7, 124 mod 17 = 5, 17 * 7 + 5 = 124 124/16 = 7, 124 mod 16 = 12, 16 * 7 + 12 = 124 -5 - 12 = 7 125/17 = 7, 125 mod 17 = 6, 17 * 7 + 6 = 125 125/16 = 7, 125 mod 16 = 13, 16 * 7 + 13 = 125 -6 - 13 = 7 126/17 = 7, 126 mod 17 = 7, 17 * 7 + 7 = 126 126/16 = 7, 126 mod 16 = 14, 16 * 7 + 14 = 126 -7 - 14 = 7 127/17 = 7, 127 mod 17 = 8, 17 * 7 + 8 = 127 127/16 = 7, 127 mod 16 = 15, 16 * 7 + 15 = 127 -8 - 15 = 7 128/17 = 7, 128 mod 17 = 9, 17 * 7 + 9 = 128 128/16 = 8, 128 mod 16 = 0, 16 * 8 + 0 = 128 8 - 0 = 8 129/17 = 7, 129 mod 17 = 10, 17 * 7 + 10 = 129 129/16 = 8, 129 mod 16 = 1, 16 * 8 + 1 = 129 7 - 1 = 8 130/17 = 7, 130 mod 17 = 11, 17 * 7 + 11 = 130 130/16 = 8, 130 mod 16 = 2, 16 * 8 + 2 = 130 6 - 2 = 8 131/17 = 7, 131 mod 17 = 12, 17 * 7 + 12 = 131 131/16 = 8, 131 mod 16 = 3, 16 * 8 + 3 = 131 5 - 3 = 8 132/17 = 7, 132 mod 17 = 13, 17 * 7 + 13 = 132 132/16 = 8, 132 mod 16 = 4, 16 * 8 + 4 = 132 4 - 4 = 8 133/17 = 7, 133 mod 17 = 14, 17 * 7 + 14 = 133 133/16 = 8, 133 mod 16 = 5, 16 * 8 + 5 = 133 3 - 5 = 8 134/17 = 7, 134 mod 17 = 15, 17 * 7 + 15 = 134 134/16 = 8, 134 mod 16 = 6, 16 * 8 + 6 = 134 2 - 6 = 8 135/17 = 7, 135 mod 17 = 16, 17 * 7 + 16 = 135 135/16 = 8, 135 mod 16 = 7, 16 * 8 + 7 = 135 1 - 7 = 8 136/17 = 8, 136 mod 17 = 0, 17 * 8 + 0 = 136 136/16 = 8, 136 mod 16 = 8, 16 * 8 + 8 = 136 0 - 8 = 8 137/17 = 8, 137 mod 17 = 1, 17 * 8 + 1 = 137 137/16 = 8, 137 mod 16 = 9, 16 * 8 + 9 = 137 -1 - 9 = 8 138/17 = 8, 138 mod 17 = 2, 17 * 8 + 2 = 138 138/16 = 8, 138 mod 16 = 10, 16 * 8 + 10 = 138 -2 - 10 = 8 139/17 = 8, 139 mod 17 = 3, 17 * 8 + 3 = 139 139/16 = 8, 139 mod 16 = 11, 16 * 8 + 11 = 139 -3 - 11 = 8 140/17 = 8, 140 mod 17 = 4, 17 * 8 + 4 = 140 140/16 = 8, 140 mod 16 = 12, 16 * 8 + 12 = 140 -4 - 12 = 8 141/17 = 8, 141 mod 17 = 5, 17 * 8 + 5 = 141 141/16 = 8, 141 mod 16 = 13, 16 * 8 + 13 = 141 -5 - 13 = 8 142/17 = 8, 142 mod 17 = 6, 17 * 8 + 6 = 142 142/16 = 8, 142 mod 16 = 14, 16 * 8 + 14 = 142 -6 - 14 = 8 143/17 = 8, 143 mod 17 = 7, 17 * 8 + 7 = 143 143/16 = 8, 143 mod 16 = 15, 16 * 8 + 15 = 143 -7 - 15 = 8 144/17 = 8, 144 mod 17 = 8, 17 * 8 + 8 = 144 144/16 = 9, 144 mod 16 = 0, 16 * 9 + 0 = 144 9 - 0 = 9 145/17 = 8, 145 mod 17 = 9, 17 * 8 + 9 = 145 145/16 = 9, 145 mod 16 = 1, 16 * 9 + 1 = 145 8 - 1 = 9 146/17 = 8, 146 mod 17 = 10, 17 * 8 + 10 = 146 146/16 = 9, 146 mod 16 = 2, 16 * 9 + 2 = 146 7 - 2 = 9 147/17 = 8, 147 mod 17 = 11, 17 * 8 + 11 = 147 147/16 = 9, 147 mod 16 = 3, 16 * 9 + 3 = 147 6 - 3 = 9 148/17 = 8, 148 mod 17 = 12, 17 * 8 + 12 = 148 148/16 = 9, 148 mod 16 = 4, 16 * 9 + 4 = 148 5 - 4 = 9 149/17 = 8, 149 mod 17 = 13, 17 * 8 + 13 = 149 149/16 = 9, 149 mod 16 = 5, 16 * 9 + 5 = 149 4 - 5 = 9 150/17 = 8, 150 mod 17 = 14, 17 * 8 + 14 = 150 150/16 = 9, 150 mod 16 = 6, 16 * 9 + 6 = 150 3 - 6 = 9 151/17 = 8, 151 mod 17 = 15, 17 * 8 + 15 = 151 151/16 = 9, 151 mod 16 = 7, 16 * 9 + 7 = 151 2 - 7 = 9 152/17 = 8, 152 mod 17 = 16, 17 * 8 + 16 = 152 152/16 = 9, 152 mod 16 = 8, 16 * 9 + 8 = 152 1 - 8 = 9 153/17 = 9, 153 mod 17 = 0, 17 * 9 + 0 = 153 153/16 = 9, 153 mod 16 = 9, 16 * 9 + 9 = 153 0 - 9 = 9 154/17 = 9, 154 mod 17 = 1, 17 * 9 + 1 = 154 154/16 = 9, 154 mod 16 = 10, 16 * 9 + 10 = 154 -1 - 10 = 9 155/17 = 9, 155 mod 17 = 2, 17 * 9 + 2 = 155 155/16 = 9, 155 mod 16 = 11, 16 * 9 + 11 = 155 -2 - 11 = 9 156/17 = 9, 156 mod 17 = 3, 17 * 9 + 3 = 156 156/16 = 9, 156 mod 16 = 12, 16 * 9 + 12 = 156 -3 - 12 = 9 157/17 = 9, 157 mod 17 = 4, 17 * 9 + 4 = 157 157/16 = 9, 157 mod 16 = 13, 16 * 9 + 13 = 157 -4 - 13 = 9 158/17 = 9, 158 mod 17 = 5, 17 * 9 + 5 = 158 158/16 = 9, 158 mod 16 = 14, 16 * 9 + 14 = 158 -5 - 14 = 9 159/17 = 9, 159 mod 17 = 6, 17 * 9 + 6 = 159 159/16 = 9, 159 mod 16 = 15, 16 * 9 + 15 = 159 -6 - 15 = 9 160/17 = 9, 160 mod 17 = 7, 17 * 9 + 7 = 160 160/16 = 10, 160 mod 16 = 0, 16 * 10 + 0 = 160 10 - 0 = 10 161/17 = 9, 161 mod 17 = 8, 17 * 9 + 8 = 161 161/16 = 10, 161 mod 16 = 1, 16 * 10 + 1 = 161 9 - 1 = 10 162/17 = 9, 162 mod 17 = 9, 17 * 9 + 9 = 162 162/16 = 10, 162 mod 16 = 2, 16 * 10 + 2 = 162 8 - 2 = 10 163/17 = 9, 163 mod 17 = 10, 17 * 9 + 10 = 163 163/16 = 10, 163 mod 16 = 3, 16 * 10 + 3 = 163 7 - 3 = 10 164/17 = 9, 164 mod 17 = 11, 17 * 9 + 11 = 164 164/16 = 10, 164 mod 16 = 4, 16 * 10 + 4 = 164 6 - 4 = 10 165/17 = 9, 165 mod 17 = 12, 17 * 9 + 12 = 165 165/16 = 10, 165 mod 16 = 5, 16 * 10 + 5 = 165 5 - 5 = 10 166/17 = 9, 166 mod 17 = 13, 17 * 9 + 13 = 166 166/16 = 10, 166 mod 16 = 6, 16 * 10 + 6 = 166 4 - 6 = 10 167/17 = 9, 167 mod 17 = 14, 17 * 9 + 14 = 167 167/16 = 10, 167 mod 16 = 7, 16 * 10 + 7 = 167 3 - 7 = 10 168/17 = 9, 168 mod 17 = 15, 17 * 9 + 15 = 168 168/16 = 10, 168 mod 16 = 8, 16 * 10 + 8 = 168 2 - 8 = 10 169/17 = 9, 169 mod 17 = 16, 17 * 9 + 16 = 169 169/16 = 10, 169 mod 16 = 9, 16 * 10 + 9 = 169 1 - 9 = 10 170/17 = 10, 170 mod 17 = 0, 17 * 10 + 0 = 170 170/16 = 10, 170 mod 16 = 10, 16 * 10 + 10 = 170 0 - 10 = 10 171/17 = 10, 171 mod 17 = 1, 17 * 10 + 1 = 171 171/16 = 10, 171 mod 16 = 11, 16 * 10 + 11 = 171 -1 - 11 = 10 172/17 = 10, 172 mod 17 = 2, 17 * 10 + 2 = 172 172/16 = 10, 172 mod 16 = 12, 16 * 10 + 12 = 172 -2 - 12 = 10 173/17 = 10, 173 mod 17 = 3, 17 * 10 + 3 = 173 173/16 = 10, 173 mod 16 = 13, 16 * 10 + 13 = 173 -3 - 13 = 10 174/17 = 10, 174 mod 17 = 4, 17 * 10 + 4 = 174 174/16 = 10, 174 mod 16 = 14, 16 * 10 + 14 = 174 -4 - 14 = 10 175/17 = 10, 175 mod 17 = 5, 17 * 10 + 5 = 175 175/16 = 10, 175 mod 16 = 15, 16 * 10 + 15 = 175 -5 - 15 = 10 176/17 = 10, 176 mod 17 = 6, 17 * 10 + 6 = 176 176/16 = 11, 176 mod 16 = 0, 16 * 11 + 0 = 176 11 - 0 = 11 177/17 = 10, 177 mod 17 = 7, 17 * 10 + 7 = 177 177/16 = 11, 177 mod 16 = 1, 16 * 11 + 1 = 177 10 - 1 = 11 178/17 = 10, 178 mod 17 = 8, 17 * 10 + 8 = 178 178/16 = 11, 178 mod 16 = 2, 16 * 11 + 2 = 178 9 - 2 = 11 179/17 = 10, 179 mod 17 = 9, 17 * 10 + 9 = 179 179/16 = 11, 179 mod 16 = 3, 16 * 11 + 3 = 179 8 - 3 = 11 180/17 = 10, 180 mod 17 = 10, 17 * 10 + 10 = 180 180/16 = 11, 180 mod 16 = 4, 16 * 11 + 4 = 180 7 - 4 = 11 181/17 = 10, 181 mod 17 = 11, 17 * 10 + 11 = 181 181/16 = 11, 181 mod 16 = 5, 16 * 11 + 5 = 181 6 - 5 = 11 182/17 = 10, 182 mod 17 = 12, 17 * 10 + 12 = 182 182/16 = 11, 182 mod 16 = 6, 16 * 11 + 6 = 182 5 - 6 = 11 183/17 = 10, 183 mod 17 = 13, 17 * 10 + 13 = 183 183/16 = 11, 183 mod 16 = 7, 16 * 11 + 7 = 183 4 - 7 = 11 184/17 = 10, 184 mod 17 = 14, 17 * 10 + 14 = 184 184/16 = 11, 184 mod 16 = 8, 16 * 11 + 8 = 184 3 - 8 = 11 185/17 = 10, 185 mod 17 = 15, 17 * 10 + 15 = 185 185/16 = 11, 185 mod 16 = 9, 16 * 11 + 9 = 185 2 - 9 = 11 186/17 = 10, 186 mod 17 = 16, 17 * 10 + 16 = 186 186/16 = 11, 186 mod 16 = 10, 16 * 11 + 10 = 186 1 - 10 = 11 187/17 = 11, 187 mod 17 = 0, 17 * 11 + 0 = 187 187/16 = 11, 187 mod 16 = 11, 16 * 11 + 11 = 187 0 - 11 = 11 188/17 = 11, 188 mod 17 = 1, 17 * 11 + 1 = 188 188/16 = 11, 188 mod 16 = 12, 16 * 11 + 12 = 188 -1 - 12 = 11 189/17 = 11, 189 mod 17 = 2, 17 * 11 + 2 = 189 189/16 = 11, 189 mod 16 = 13, 16 * 11 + 13 = 189 -2 - 13 = 11 190/17 = 11, 190 mod 17 = 3, 17 * 11 + 3 = 190 190/16 = 11, 190 mod 16 = 14, 16 * 11 + 14 = 190 -3 - 14 = 11 191/17 = 11, 191 mod 17 = 4, 17 * 11 + 4 = 191 191/16 = 11, 191 mod 16 = 15, 16 * 11 + 15 = 191 -4 - 15 = 11 192/17 = 11, 192 mod 17 = 5, 17 * 11 + 5 = 192 192/16 = 12, 192 mod 16 = 0, 16 * 12 + 0 = 192 12 - 0 = 12 193/17 = 11, 193 mod 17 = 6, 17 * 11 + 6 = 193 193/16 = 12, 193 mod 16 = 1, 16 * 12 + 1 = 193 11 - 1 = 12 194/17 = 11, 194 mod 17 = 7, 17 * 11 + 7 = 194 194/16 = 12, 194 mod 16 = 2, 16 * 12 + 2 = 194 10 - 2 = 12 195/17 = 11, 195 mod 17 = 8, 17 * 11 + 8 = 195 195/16 = 12, 195 mod 16 = 3, 16 * 12 + 3 = 195 9 - 3 = 12 196/17 = 11, 196 mod 17 = 9, 17 * 11 + 9 = 196 196/16 = 12, 196 mod 16 = 4, 16 * 12 + 4 = 196 8 - 4 = 12 197/17 = 11, 197 mod 17 = 10, 17 * 11 + 10 = 197 197/16 = 12, 197 mod 16 = 5, 16 * 12 + 5 = 197 7 - 5 = 12 198/17 = 11, 198 mod 17 = 11, 17 * 11 + 11 = 198 198/16 = 12, 198 mod 16 = 6, 16 * 12 + 6 = 198 6 - 6 = 12 199/17 = 11, 199 mod 17 = 12, 17 * 11 + 12 = 199 199/16 = 12, 199 mod 16 = 7, 16 * 12 + 7 = 199 5 - 7 = 12 200/17 = 11, 200 mod 17 = 13, 17 * 11 + 13 = 200 200/16 = 12, 200 mod 16 = 8, 16 * 12 + 8 = 200 4 - 8 = 12 201/17 = 11, 201 mod 17 = 14, 17 * 11 + 14 = 201 201/16 = 12, 201 mod 16 = 9, 16 * 12 + 9 = 201 3 - 9 = 12 202/17 = 11, 202 mod 17 = 15, 17 * 11 + 15 = 202 202/16 = 12, 202 mod 16 = 10, 16 * 12 + 10 = 202 2 - 10 = 12 203/17 = 11, 203 mod 17 = 16, 17 * 11 + 16 = 203 203/16 = 12, 203 mod 16 = 11, 16 * 12 + 11 = 203 1 - 11 = 12 204/17 = 12, 204 mod 17 = 0, 17 * 12 + 0 = 204 204/16 = 12, 204 mod 16 = 12, 16 * 12 + 12 = 204 0 - 12 = 12 205/17 = 12, 205 mod 17 = 1, 17 * 12 + 1 = 205 205/16 = 12, 205 mod 16 = 13, 16 * 12 + 13 = 205 -1 - 13 = 12 206/17 = 12, 206 mod 17 = 2, 17 * 12 + 2 = 206 206/16 = 12, 206 mod 16 = 14, 16 * 12 + 14 = 206 -2 - 14 = 12 207/17 = 12, 207 mod 17 = 3, 17 * 12 + 3 = 207 207/16 = 12, 207 mod 16 = 15, 16 * 12 + 15 = 207 -3 - 15 = 12 208/17 = 12, 208 mod 17 = 4, 17 * 12 + 4 = 208 208/16 = 13, 208 mod 16 = 0, 16 * 13 + 0 = 208 13 - 0 = 13 209/17 = 12, 209 mod 17 = 5, 17 * 12 + 5 = 209 209/16 = 13, 209 mod 16 = 1, 16 * 13 + 1 = 209 12 - 1 = 13 210/17 = 12, 210 mod 17 = 6, 17 * 12 + 6 = 210 210/16 = 13, 210 mod 16 = 2, 16 * 13 + 2 = 210 11 - 2 = 13 211/17 = 12, 211 mod 17 = 7, 17 * 12 + 7 = 211 211/16 = 13, 211 mod 16 = 3, 16 * 13 + 3 = 211 10 - 3 = 13 212/17 = 12, 212 mod 17 = 8, 17 * 12 + 8 = 212 212/16 = 13, 212 mod 16 = 4, 16 * 13 + 4 = 212 9 - 4 = 13 213/17 = 12, 213 mod 17 = 9, 17 * 12 + 9 = 213 213/16 = 13, 213 mod 16 = 5, 16 * 13 + 5 = 213 8 - 5 = 13 214/17 = 12, 214 mod 17 = 10, 17 * 12 + 10 = 214 214/16 = 13, 214 mod 16 = 6, 16 * 13 + 6 = 214 7 - 6 = 13 215/17 = 12, 215 mod 17 = 11, 17 * 12 + 11 = 215 215/16 = 13, 215 mod 16 = 7, 16 * 13 + 7 = 215 6 - 7 = 13 216/17 = 12, 216 mod 17 = 12, 17 * 12 + 12 = 216 216/16 = 13, 216 mod 16 = 8, 16 * 13 + 8 = 216 5 - 8 = 13 217/17 = 12, 217 mod 17 = 13, 17 * 12 + 13 = 217 217/16 = 13, 217 mod 16 = 9, 16 * 13 + 9 = 217 4 - 9 = 13 218/17 = 12, 218 mod 17 = 14, 17 * 12 + 14 = 218 218/16 = 13, 218 mod 16 = 10, 16 * 13 + 10 = 218 3 - 10 = 13 219/17 = 12, 219 mod 17 = 15, 17 * 12 + 15 = 219 219/16 = 13, 219 mod 16 = 11, 16 * 13 + 11 = 219 2 - 11 = 13 220/17 = 12, 220 mod 17 = 16, 17 * 12 + 16 = 220 220/16 = 13, 220 mod 16 = 12, 16 * 13 + 12 = 220 1 - 12 = 13 221/17 = 13, 221 mod 17 = 0, 17 * 13 + 0 = 221 221/16 = 13, 221 mod 16 = 13, 16 * 13 + 13 = 221 0 - 13 = 13 222/17 = 13, 222 mod 17 = 1, 17 * 13 + 1 = 222 222/16 = 13, 222 mod 16 = 14, 16 * 13 + 14 = 222 -1 - 14 = 13 223/17 = 13, 223 mod 17 = 2, 17 * 13 + 2 = 223 223/16 = 13, 223 mod 16 = 15, 16 * 13 + 15 = 223 -2 - 15 = 13 224/17 = 13, 224 mod 17 = 3, 17 * 13 + 3 = 224 224/16 = 14, 224 mod 16 = 0, 16 * 14 + 0 = 224 14 - 0 = 14 225/17 = 13, 225 mod 17 = 4, 17 * 13 + 4 = 225 225/16 = 14, 225 mod 16 = 1, 16 * 14 + 1 = 225 13 - 1 = 14 226/17 = 13, 226 mod 17 = 5, 17 * 13 + 5 = 226 226/16 = 14, 226 mod 16 = 2, 16 * 14 + 2 = 226 12 - 2 = 14 227/17 = 13, 227 mod 17 = 6, 17 * 13 + 6 = 227 227/16 = 14, 227 mod 16 = 3, 16 * 14 + 3 = 227 11 - 3 = 14 228/17 = 13, 228 mod 17 = 7, 17 * 13 + 7 = 228 228/16 = 14, 228 mod 16 = 4, 16 * 14 + 4 = 228 10 - 4 = 14 229/17 = 13, 229 mod 17 = 8, 17 * 13 + 8 = 229 229/16 = 14, 229 mod 16 = 5, 16 * 14 + 5 = 229 9 - 5 = 14 230/17 = 13, 230 mod 17 = 9, 17 * 13 + 9 = 230 230/16 = 14, 230 mod 16 = 6, 16 * 14 + 6 = 230 8 - 6 = 14 231/17 = 13, 231 mod 17 = 10, 17 * 13 + 10 = 231 231/16 = 14, 231 mod 16 = 7, 16 * 14 + 7 = 231 7 - 7 = 14 232/17 = 13, 232 mod 17 = 11, 17 * 13 + 11 = 232 232/16 = 14, 232 mod 16 = 8, 16 * 14 + 8 = 232 6 - 8 = 14 233/17 = 13, 233 mod 17 = 12, 17 * 13 + 12 = 233 233/16 = 14, 233 mod 16 = 9, 16 * 14 + 9 = 233 5 - 9 = 14 234/17 = 13, 234 mod 17 = 13, 17 * 13 + 13 = 234 234/16 = 14, 234 mod 16 = 10, 16 * 14 + 10 = 234 4 - 10 = 14 235/17 = 13, 235 mod 17 = 14, 17 * 13 + 14 = 235 235/16 = 14, 235 mod 16 = 11, 16 * 14 + 11 = 235 3 - 11 = 14 236/17 = 13, 236 mod 17 = 15, 17 * 13 + 15 = 236 236/16 = 14, 236 mod 16 = 12, 16 * 14 + 12 = 236 2 - 12 = 14 237/17 = 13, 237 mod 17 = 16, 17 * 13 + 16 = 237 237/16 = 14, 237 mod 16 = 13, 16 * 14 + 13 = 237 1 - 13 = 14 238/17 = 14, 238 mod 17 = 0, 17 * 14 + 0 = 238 238/16 = 14, 238 mod 16 = 14, 16 * 14 + 14 = 238 0 - 14 = 14 239/17 = 14, 239 mod 17 = 1, 17 * 14 + 1 = 239 239/16 = 14, 239 mod 16 = 15, 16 * 14 + 15 = 239 -1 - 15 = 14 240/17 = 14, 240 mod 17 = 2, 17 * 14 + 2 = 240 240/16 = 15, 240 mod 16 = 0, 16 * 15 + 0 = 240 15 - 0 = 15 241/17 = 14, 241 mod 17 = 3, 17 * 14 + 3 = 241 241/16 = 15, 241 mod 16 = 1, 16 * 15 + 1 = 241 14 - 1 = 15 242/17 = 14, 242 mod 17 = 4, 17 * 14 + 4 = 242 242/16 = 15, 242 mod 16 = 2, 16 * 15 + 2 = 242 13 - 2 = 15 243/17 = 14, 243 mod 17 = 5, 17 * 14 + 5 = 243 243/16 = 15, 243 mod 16 = 3, 16 * 15 + 3 = 243 12 - 3 = 15 244/17 = 14, 244 mod 17 = 6, 17 * 14 + 6 = 244 244/16 = 15, 244 mod 16 = 4, 16 * 15 + 4 = 244 11 - 4 = 15 245/17 = 14, 245 mod 17 = 7, 17 * 14 + 7 = 245 245/16 = 15, 245 mod 16 = 5, 16 * 15 + 5 = 245 10 - 5 = 15 246/17 = 14, 246 mod 17 = 8, 17 * 14 + 8 = 246 246/16 = 15, 246 mod 16 = 6, 16 * 15 + 6 = 246 9 - 6 = 15 247/17 = 14, 247 mod 17 = 9, 17 * 14 + 9 = 247 247/16 = 15, 247 mod 16 = 7, 16 * 15 + 7 = 247 8 - 7 = 15 248/17 = 14, 248 mod 17 = 10, 17 * 14 + 10 = 248 248/16 = 15, 248 mod 16 = 8, 16 * 15 + 8 = 248 7 - 8 = 15 249/17 = 14, 249 mod 17 = 11, 17 * 14 + 11 = 249 249/16 = 15, 249 mod 16 = 9, 16 * 15 + 9 = 249 6 - 9 = 15 250/17 = 14, 250 mod 17 = 12, 17 * 14 + 12 = 250 250/16 = 15, 250 mod 16 = 10, 16 * 15 + 10 = 250 5 - 10 = 15 251/17 = 14, 251 mod 17 = 13, 17 * 14 + 13 = 251 251/16 = 15, 251 mod 16 = 11, 16 * 15 + 11 = 251 4 - 11 = 15 252/17 = 14, 252 mod 17 = 14, 17 * 14 + 14 = 252 252/16 = 15, 252 mod 16 = 12, 16 * 15 + 12 = 252 3 - 12 = 15 253/17 = 14, 253 mod 17 = 15, 17 * 14 + 15 = 253 253/16 = 15, 253 mod 16 = 13, 16 * 15 + 13 = 253 2 - 13 = 15 254/17 = 14, 254 mod 17 = 16, 17 * 14 + 16 = 254 254/16 = 15, 254 mod 16 = 14, 16 * 15 + 14 = 254 1 - 14 = 15 255/17 = 15, 255 mod 17 = 0, 17 * 15 + 0 = 255 255/16 = 15, 255 mod 16 = 15, 16 * 15 + 15 = 255 0 - 15 = 15
Ich erkläre jetzt, warum ich meine, dass meine Argumentation richtig ist
Wenn ich durch 100000 teile dann kann ich schreiben
/100/10/100
oder wie auch immer, in mehrere Schritten. Was unterscheidet dann durch
101 teilen?
Ganz einfach. Ich kann durch 100 teilen und durch 1. Aber was unterscheidet das Teilen von 100 durch teilen von 1? ganz einfach eine Teilung mit der Verschiebung von 2 Stellen bzw. Bits
also, muss ich das gesamte Ding am Ende ein mal um 2 Bits teilen, durch 100 .Das ist normal. Aber auch ein Mal um 2 Bit verschoben, als Rest nehmen
Das ist dieselbe Division allerdings um eine Verschiebung. Dabei entsteht ein Rest
Diese Reste muss ich sammeln. Ist der Rest am Ende gross, kann ich die Operation darauf erneut anwenden
Und das erklaert bei 12 bit durch 5 Bit, also Verschiebung um 4 Stellen, wie das Ergebnis ist.
Ich fragte, was ist das doppelte Stellen... bei 4 Bit, 8, aber bei 12?
Nun 101, bedeutet einfach, das die andere teilung 2 Bit verschoben ist. aber ich muss darueber noch nachdenken und daran arbeiten zum Beispiel betreff auch der Reste, die so oder so entstehen.
was die Reste betrifft, und dass 101 das hinterste in den Rest einfliesst, muss man sich veranschaulichen
x*101Das sind
100*x + 1*x. das1 1*xwaere dasselbe verschoben
#include <stdio.h> int main (void) { int x; int x1, x2; for (x = 0; x <= 255; x++) { printf ("%i/17 = %i, %i mod 17 = %i, ", x, (x1 = x/17), x, x2 = (x % 17)); printf ("17 * %i + %i = %i\n", x1, x2, 17*x1+x2); printf ("%i/16 = %i, %i mod 16 = %i, ", x, (x1 = x/16), x, x2 = (x % 16)); printf ("16 * %i + %i = %i\n", x1, x2, 16*x1+x2); printf ("%i - %i = %i, %x %x %x\n\n", (((x & 0xf0) >> 4) & 0x0f), (x & 0x0f), (((x & 0xf0) >> 4) & 0x0f) - (x & 0x0f), (((x & 0xf0) >> 4) & 0x0f), (x & 0x0f), x); } }
0/17 = 0, 0 mod 17 = 0, 17 * 0 + 0 = 0 0/16 = 0, 0 mod 16 = 0, 16 * 0 + 0 = 0 0 - 0 = 0, 0 0 0 1/17 = 0, 1 mod 17 = 1, 17 * 0 + 1 = 1 1/16 = 0, 1 mod 16 = 1, 16 * 0 + 1 = 1 0 - 1 = -1, 0 1 1 2/17 = 0, 2 mod 17 = 2, 17 * 0 + 2 = 2 2/16 = 0, 2 mod 16 = 2, 16 * 0 + 2 = 2 0 - 2 = -2, 0 2 2 3/17 = 0, 3 mod 17 = 3, 17 * 0 + 3 = 3 3/16 = 0, 3 mod 16 = 3, 16 * 0 + 3 = 3 0 - 3 = -3, 0 3 3 4/17 = 0, 4 mod 17 = 4, 17 * 0 + 4 = 4 4/16 = 0, 4 mod 16 = 4, 16 * 0 + 4 = 4 0 - 4 = -4, 0 4 4 5/17 = 0, 5 mod 17 = 5, 17 * 0 + 5 = 5 5/16 = 0, 5 mod 16 = 5, 16 * 0 + 5 = 5 0 - 5 = -5, 0 5 5 6/17 = 0, 6 mod 17 = 6, 17 * 0 + 6 = 6 6/16 = 0, 6 mod 16 = 6, 16 * 0 + 6 = 6 0 - 6 = -6, 0 6 6 7/17 = 0, 7 mod 17 = 7, 17 * 0 + 7 = 7 7/16 = 0, 7 mod 16 = 7, 16 * 0 + 7 = 7 0 - 7 = -7, 0 7 7 8/17 = 0, 8 mod 17 = 8, 17 * 0 + 8 = 8 8/16 = 0, 8 mod 16 = 8, 16 * 0 + 8 = 8 0 - 8 = -8, 0 8 8 9/17 = 0, 9 mod 17 = 9, 17 * 0 + 9 = 9 9/16 = 0, 9 mod 16 = 9, 16 * 0 + 9 = 9 0 - 9 = -9, 0 9 9 10/17 = 0, 10 mod 17 = 10, 17 * 0 + 10 = 10 10/16 = 0, 10 mod 16 = 10, 16 * 0 + 10 = 10 0 - 10 = -10, 0 a a 11/17 = 0, 11 mod 17 = 11, 17 * 0 + 11 = 11 11/16 = 0, 11 mod 16 = 11, 16 * 0 + 11 = 11 0 - 11 = -11, 0 b b 12/17 = 0, 12 mod 17 = 12, 17 * 0 + 12 = 12 12/16 = 0, 12 mod 16 = 12, 16 * 0 + 12 = 12 0 - 12 = -12, 0 c c 13/17 = 0, 13 mod 17 = 13, 17 * 0 + 13 = 13 13/16 = 0, 13 mod 16 = 13, 16 * 0 + 13 = 13 0 - 13 = -13, 0 d d 14/17 = 0, 14 mod 17 = 14, 17 * 0 + 14 = 14 14/16 = 0, 14 mod 16 = 14, 16 * 0 + 14 = 14 0 - 14 = -14, 0 e e 15/17 = 0, 15 mod 17 = 15, 17 * 0 + 15 = 15 15/16 = 0, 15 mod 16 = 15, 16 * 0 + 15 = 15 0 - 15 = -15, 0 f f 16/17 = 0, 16 mod 17 = 16, 17 * 0 + 16 = 16 16/16 = 1, 16 mod 16 = 0, 16 * 1 + 0 = 16 1 - 0 = 1, 1 0 10 17/17 = 1, 17 mod 17 = 0, 17 * 1 + 0 = 17 17/16 = 1, 17 mod 16 = 1, 16 * 1 + 1 = 17 1 - 1 = 0, 1 1 11 18/17 = 1, 18 mod 17 = 1, 17 * 1 + 1 = 18 18/16 = 1, 18 mod 16 = 2, 16 * 1 + 2 = 18 1 - 2 = -1, 1 2 12 19/17 = 1, 19 mod 17 = 2, 17 * 1 + 2 = 19 19/16 = 1, 19 mod 16 = 3, 16 * 1 + 3 = 19 1 - 3 = -2, 1 3 13 20/17 = 1, 20 mod 17 = 3, 17 * 1 + 3 = 20 20/16 = 1, 20 mod 16 = 4, 16 * 1 + 4 = 20 1 - 4 = -3, 1 4 14 21/17 = 1, 21 mod 17 = 4, 17 * 1 + 4 = 21 21/16 = 1, 21 mod 16 = 5, 16 * 1 + 5 = 21 1 - 5 = -4, 1 5 15 22/17 = 1, 22 mod 17 = 5, 17 * 1 + 5 = 22 22/16 = 1, 22 mod 16 = 6, 16 * 1 + 6 = 22 1 - 6 = -5, 1 6 16 23/17 = 1, 23 mod 17 = 6, 17 * 1 + 6 = 23 23/16 = 1, 23 mod 16 = 7, 16 * 1 + 7 = 23 1 - 7 = -6, 1 7 17 24/17 = 1, 24 mod 17 = 7, 17 * 1 + 7 = 24 24/16 = 1, 24 mod 16 = 8, 16 * 1 + 8 = 24 1 - 8 = -7, 1 8 18 25/17 = 1, 25 mod 17 = 8, 17 * 1 + 8 = 25 25/16 = 1, 25 mod 16 = 9, 16 * 1 + 9 = 25 1 - 9 = -8, 1 9 19 26/17 = 1, 26 mod 17 = 9, 17 * 1 + 9 = 26 26/16 = 1, 26 mod 16 = 10, 16 * 1 + 10 = 26 1 - 10 = -9, 1 a 1a 27/17 = 1, 27 mod 17 = 10, 17 * 1 + 10 = 27 27/16 = 1, 27 mod 16 = 11, 16 * 1 + 11 = 27 1 - 11 = -10, 1 b 1b 28/17 = 1, 28 mod 17 = 11, 17 * 1 + 11 = 28 28/16 = 1, 28 mod 16 = 12, 16 * 1 + 12 = 28 1 - 12 = -11, 1 c 1c 29/17 = 1, 29 mod 17 = 12, 17 * 1 + 12 = 29 29/16 = 1, 29 mod 16 = 13, 16 * 1 + 13 = 29 1 - 13 = -12, 1 d 1d 30/17 = 1, 30 mod 17 = 13, 17 * 1 + 13 = 30 30/16 = 1, 30 mod 16 = 14, 16 * 1 + 14 = 30 1 - 14 = -13, 1 e 1e 31/17 = 1, 31 mod 17 = 14, 17 * 1 + 14 = 31 31/16 = 1, 31 mod 16 = 15, 16 * 1 + 15 = 31 1 - 15 = -14, 1 f 1f 32/17 = 1, 32 mod 17 = 15, 17 * 1 + 15 = 32 32/16 = 2, 32 mod 16 = 0, 16 * 2 + 0 = 32 2 - 0 = 2, 2 0 20 33/17 = 1, 33 mod 17 = 16, 17 * 1 + 16 = 33 33/16 = 2, 33 mod 16 = 1, 16 * 2 + 1 = 33 2 - 1 = 1, 2 1 21 34/17 = 2, 34 mod 17 = 0, 17 * 2 + 0 = 34 34/16 = 2, 34 mod 16 = 2, 16 * 2 + 2 = 34 2 - 2 = 0, 2 2 22 35/17 = 2, 35 mod 17 = 1, 17 * 2 + 1 = 35 35/16 = 2, 35 mod 16 = 3, 16 * 2 + 3 = 35 2 - 3 = -1, 2 3 23 36/17 = 2, 36 mod 17 = 2, 17 * 2 + 2 = 36 36/16 = 2, 36 mod 16 = 4, 16 * 2 + 4 = 36 2 - 4 = -2, 2 4 24 37/17 = 2, 37 mod 17 = 3, 17 * 2 + 3 = 37 37/16 = 2, 37 mod 16 = 5, 16 * 2 + 5 = 37 2 - 5 = -3, 2 5 25 38/17 = 2, 38 mod 17 = 4, 17 * 2 + 4 = 38 38/16 = 2, 38 mod 16 = 6, 16 * 2 + 6 = 38 2 - 6 = -4, 2 6 26 39/17 = 2, 39 mod 17 = 5, 17 * 2 + 5 = 39 39/16 = 2, 39 mod 16 = 7, 16 * 2 + 7 = 39 2 - 7 = -5, 2 7 27 40/17 = 2, 40 mod 17 = 6, 17 * 2 + 6 = 40 40/16 = 2, 40 mod 16 = 8, 16 * 2 + 8 = 40 2 - 8 = -6, 2 8 28 41/17 = 2, 41 mod 17 = 7, 17 * 2 + 7 = 41 41/16 = 2, 41 mod 16 = 9, 16 * 2 + 9 = 41 2 - 9 = -7, 2 9 29 42/17 = 2, 42 mod 17 = 8, 17 * 2 + 8 = 42 42/16 = 2, 42 mod 16 = 10, 16 * 2 + 10 = 42 2 - 10 = -8, 2 a 2a 43/17 = 2, 43 mod 17 = 9, 17 * 2 + 9 = 43 43/16 = 2, 43 mod 16 = 11, 16 * 2 + 11 = 43 2 - 11 = -9, 2 b 2b 44/17 = 2, 44 mod 17 = 10, 17 * 2 + 10 = 44 44/16 = 2, 44 mod 16 = 12, 16 * 2 + 12 = 44 2 - 12 = -10, 2 c 2c 45/17 = 2, 45 mod 17 = 11, 17 * 2 + 11 = 45 45/16 = 2, 45 mod 16 = 13, 16 * 2 + 13 = 45 2 - 13 = -11, 2 d 2d 46/17 = 2, 46 mod 17 = 12, 17 * 2 + 12 = 46 46/16 = 2, 46 mod 16 = 14, 16 * 2 + 14 = 46 2 - 14 = -12, 2 e 2e 47/17 = 2, 47 mod 17 = 13, 17 * 2 + 13 = 47 47/16 = 2, 47 mod 16 = 15, 16 * 2 + 15 = 47 2 - 15 = -13, 2 f 2f 48/17 = 2, 48 mod 17 = 14, 17 * 2 + 14 = 48 48/16 = 3, 48 mod 16 = 0, 16 * 3 + 0 = 48 3 - 0 = 3, 3 0 30 49/17 = 2, 49 mod 17 = 15, 17 * 2 + 15 = 49 49/16 = 3, 49 mod 16 = 1, 16 * 3 + 1 = 49 3 - 1 = 2, 3 1 31 50/17 = 2, 50 mod 17 = 16, 17 * 2 + 16 = 50 50/16 = 3, 50 mod 16 = 2, 16 * 3 + 2 = 50 3 - 2 = 1, 3 2 32 51/17 = 3, 51 mod 17 = 0, 17 * 3 + 0 = 51 51/16 = 3, 51 mod 16 = 3, 16 * 3 + 3 = 51 3 - 3 = 0, 3 3 33 52/17 = 3, 52 mod 17 = 1, 17 * 3 + 1 = 52 52/16 = 3, 52 mod 16 = 4, 16 * 3 + 4 = 52 3 - 4 = -1, 3 4 34 53/17 = 3, 53 mod 17 = 2, 17 * 3 + 2 = 53 53/16 = 3, 53 mod 16 = 5, 16 * 3 + 5 = 53 3 - 5 = -2, 3 5 35 54/17 = 3, 54 mod 17 = 3, 17 * 3 + 3 = 54 54/16 = 3, 54 mod 16 = 6, 16 * 3 + 6 = 54 3 - 6 = -3, 3 6 36 55/17 = 3, 55 mod 17 = 4, 17 * 3 + 4 = 55 55/16 = 3, 55 mod 16 = 7, 16 * 3 + 7 = 55 3 - 7 = -4, 3 7 37 56/17 = 3, 56 mod 17 = 5, 17 * 3 + 5 = 56 56/16 = 3, 56 mod 16 = 8, 16 * 3 + 8 = 56 3 - 8 = -5, 3 8 38 57/17 = 3, 57 mod 17 = 6, 17 * 3 + 6 = 57 57/16 = 3, 57 mod 16 = 9, 16 * 3 + 9 = 57 3 - 9 = -6, 3 9 39 58/17 = 3, 58 mod 17 = 7, 17 * 3 + 7 = 58 58/16 = 3, 58 mod 16 = 10, 16 * 3 + 10 = 58 3 - 10 = -7, 3 a 3a 59/17 = 3, 59 mod 17 = 8, 17 * 3 + 8 = 59 59/16 = 3, 59 mod 16 = 11, 16 * 3 + 11 = 59 3 - 11 = -8, 3 b 3b 60/17 = 3, 60 mod 17 = 9, 17 * 3 + 9 = 60 60/16 = 3, 60 mod 16 = 12, 16 * 3 + 12 = 60 3 - 12 = -9, 3 c 3c 61/17 = 3, 61 mod 17 = 10, 17 * 3 + 10 = 61 61/16 = 3, 61 mod 16 = 13, 16 * 3 + 13 = 61 3 - 13 = -10, 3 d 3d 62/17 = 3, 62 mod 17 = 11, 17 * 3 + 11 = 62 62/16 = 3, 62 mod 16 = 14, 16 * 3 + 14 = 62 3 - 14 = -11, 3 e 3e 63/17 = 3, 63 mod 17 = 12, 17 * 3 + 12 = 63 63/16 = 3, 63 mod 16 = 15, 16 * 3 + 15 = 63 3 - 15 = -12, 3 f 3f 64/17 = 3, 64 mod 17 = 13, 17 * 3 + 13 = 64 64/16 = 4, 64 mod 16 = 0, 16 * 4 + 0 = 64 4 - 0 = 4, 4 0 40 65/17 = 3, 65 mod 17 = 14, 17 * 3 + 14 = 65 65/16 = 4, 65 mod 16 = 1, 16 * 4 + 1 = 65 4 - 1 = 3, 4 1 41 66/17 = 3, 66 mod 17 = 15, 17 * 3 + 15 = 66 66/16 = 4, 66 mod 16 = 2, 16 * 4 + 2 = 66 4 - 2 = 2, 4 2 42 67/17 = 3, 67 mod 17 = 16, 17 * 3 + 16 = 67 67/16 = 4, 67 mod 16 = 3, 16 * 4 + 3 = 67 4 - 3 = 1, 4 3 43 68/17 = 4, 68 mod 17 = 0, 17 * 4 + 0 = 68 68/16 = 4, 68 mod 16 = 4, 16 * 4 + 4 = 68 4 - 4 = 0, 4 4 44 69/17 = 4, 69 mod 17 = 1, 17 * 4 + 1 = 69 69/16 = 4, 69 mod 16 = 5, 16 * 4 + 5 = 69 4 - 5 = -1, 4 5 45 70/17 = 4, 70 mod 17 = 2, 17 * 4 + 2 = 70 70/16 = 4, 70 mod 16 = 6, 16 * 4 + 6 = 70 4 - 6 = -2, 4 6 46 71/17 = 4, 71 mod 17 = 3, 17 * 4 + 3 = 71 71/16 = 4, 71 mod 16 = 7, 16 * 4 + 7 = 71 4 - 7 = -3, 4 7 47 72/17 = 4, 72 mod 17 = 4, 17 * 4 + 4 = 72 72/16 = 4, 72 mod 16 = 8, 16 * 4 + 8 = 72 4 - 8 = -4, 4 8 48 73/17 = 4, 73 mod 17 = 5, 17 * 4 + 5 = 73 73/16 = 4, 73 mod 16 = 9, 16 * 4 + 9 = 73 4 - 9 = -5, 4 9 49 74/17 = 4, 74 mod 17 = 6, 17 * 4 + 6 = 74 74/16 = 4, 74 mod 16 = 10, 16 * 4 + 10 = 74 4 - 10 = -6, 4 a 4a 75/17 = 4, 75 mod 17 = 7, 17 * 4 + 7 = 75 75/16 = 4, 75 mod 16 = 11, 16 * 4 + 11 = 75 4 - 11 = -7, 4 b 4b 76/17 = 4, 76 mod 17 = 8, 17 * 4 + 8 = 76 76/16 = 4, 76 mod 16 = 12, 16 * 4 + 12 = 76 4 - 12 = -8, 4 c 4c 77/17 = 4, 77 mod 17 = 9, 17 * 4 + 9 = 77 77/16 = 4, 77 mod 16 = 13, 16 * 4 + 13 = 77 4 - 13 = -9, 4 d 4d 78/17 = 4, 78 mod 17 = 10, 17 * 4 + 10 = 78 78/16 = 4, 78 mod 16 = 14, 16 * 4 + 14 = 78 4 - 14 = -10, 4 e 4e 79/17 = 4, 79 mod 17 = 11, 17 * 4 + 11 = 79 79/16 = 4, 79 mod 16 = 15, 16 * 4 + 15 = 79 4 - 15 = -11, 4 f 4f 80/17 = 4, 80 mod 17 = 12, 17 * 4 + 12 = 80 80/16 = 5, 80 mod 16 = 0, 16 * 5 + 0 = 80 5 - 0 = 5, 5 0 50 81/17 = 4, 81 mod 17 = 13, 17 * 4 + 13 = 81 81/16 = 5, 81 mod 16 = 1, 16 * 5 + 1 = 81 5 - 1 = 4, 5 1 51 82/17 = 4, 82 mod 17 = 14, 17 * 4 + 14 = 82 82/16 = 5, 82 mod 16 = 2, 16 * 5 + 2 = 82 5 - 2 = 3, 5 2 52 83/17 = 4, 83 mod 17 = 15, 17 * 4 + 15 = 83 83/16 = 5, 83 mod 16 = 3, 16 * 5 + 3 = 83 5 - 3 = 2, 5 3 53 84/17 = 4, 84 mod 17 = 16, 17 * 4 + 16 = 84 84/16 = 5, 84 mod 16 = 4, 16 * 5 + 4 = 84 5 - 4 = 1, 5 4 54 85/17 = 5, 85 mod 17 = 0, 17 * 5 + 0 = 85 85/16 = 5, 85 mod 16 = 5, 16 * 5 + 5 = 85 5 - 5 = 0, 5 5 55 86/17 = 5, 86 mod 17 = 1, 17 * 5 + 1 = 86 86/16 = 5, 86 mod 16 = 6, 16 * 5 + 6 = 86 5 - 6 = -1, 5 6 56 87/17 = 5, 87 mod 17 = 2, 17 * 5 + 2 = 87 87/16 = 5, 87 mod 16 = 7, 16 * 5 + 7 = 87 5 - 7 = -2, 5 7 57 88/17 = 5, 88 mod 17 = 3, 17 * 5 + 3 = 88 88/16 = 5, 88 mod 16 = 8, 16 * 5 + 8 = 88 5 - 8 = -3, 5 8 58 89/17 = 5, 89 mod 17 = 4, 17 * 5 + 4 = 89 89/16 = 5, 89 mod 16 = 9, 16 * 5 + 9 = 89 5 - 9 = -4, 5 9 59 90/17 = 5, 90 mod 17 = 5, 17 * 5 + 5 = 90 90/16 = 5, 90 mod 16 = 10, 16 * 5 + 10 = 90 5 - 10 = -5, 5 a 5a 91/17 = 5, 91 mod 17 = 6, 17 * 5 + 6 = 91 91/16 = 5, 91 mod 16 = 11, 16 * 5 + 11 = 91 5 - 11 = -6, 5 b 5b 92/17 = 5, 92 mod 17 = 7, 17 * 5 + 7 = 92 92/16 = 5, 92 mod 16 = 12, 16 * 5 + 12 = 92 5 - 12 = -7, 5 c 5c 93/17 = 5, 93 mod 17 = 8, 17 * 5 + 8 = 93 93/16 = 5, 93 mod 16 = 13, 16 * 5 + 13 = 93 5 - 13 = -8, 5 d 5d 94/17 = 5, 94 mod 17 = 9, 17 * 5 + 9 = 94 94/16 = 5, 94 mod 16 = 14, 16 * 5 + 14 = 94 5 - 14 = -9, 5 e 5e 95/17 = 5, 95 mod 17 = 10, 17 * 5 + 10 = 95 95/16 = 5, 95 mod 16 = 15, 16 * 5 + 15 = 95 5 - 15 = -10, 5 f 5f 96/17 = 5, 96 mod 17 = 11, 17 * 5 + 11 = 96 96/16 = 6, 96 mod 16 = 0, 16 * 6 + 0 = 96 6 - 0 = 6, 6 0 60 97/17 = 5, 97 mod 17 = 12, 17 * 5 + 12 = 97 97/16 = 6, 97 mod 16 = 1, 16 * 6 + 1 = 97 6 - 1 = 5, 6 1 61 98/17 = 5, 98 mod 17 = 13, 17 * 5 + 13 = 98 98/16 = 6, 98 mod 16 = 2, 16 * 6 + 2 = 98 6 - 2 = 4, 6 2 62 99/17 = 5, 99 mod 17 = 14, 17 * 5 + 14 = 99 99/16 = 6, 99 mod 16 = 3, 16 * 6 + 3 = 99 6 - 3 = 3, 6 3 63 100/17 = 5, 100 mod 17 = 15, 17 * 5 + 15 = 100 100/16 = 6, 100 mod 16 = 4, 16 * 6 + 4 = 100 6 - 4 = 2, 6 4 64 101/17 = 5, 101 mod 17 = 16, 17 * 5 + 16 = 101 101/16 = 6, 101 mod 16 = 5, 16 * 6 + 5 = 101 6 - 5 = 1, 6 5 65 102/17 = 6, 102 mod 17 = 0, 17 * 6 + 0 = 102 102/16 = 6, 102 mod 16 = 6, 16 * 6 + 6 = 102 6 - 6 = 0, 6 6 66 103/17 = 6, 103 mod 17 = 1, 17 * 6 + 1 = 103 103/16 = 6, 103 mod 16 = 7, 16 * 6 + 7 = 103 6 - 7 = -1, 6 7 67 104/17 = 6, 104 mod 17 = 2, 17 * 6 + 2 = 104 104/16 = 6, 104 mod 16 = 8, 16 * 6 + 8 = 104 6 - 8 = -2, 6 8 68 105/17 = 6, 105 mod 17 = 3, 17 * 6 + 3 = 105 105/16 = 6, 105 mod 16 = 9, 16 * 6 + 9 = 105 6 - 9 = -3, 6 9 69 106/17 = 6, 106 mod 17 = 4, 17 * 6 + 4 = 106 106/16 = 6, 106 mod 16 = 10, 16 * 6 + 10 = 106 6 - 10 = -4, 6 a 6a 107/17 = 6, 107 mod 17 = 5, 17 * 6 + 5 = 107 107/16 = 6, 107 mod 16 = 11, 16 * 6 + 11 = 107 6 - 11 = -5, 6 b 6b 108/17 = 6, 108 mod 17 = 6, 17 * 6 + 6 = 108 108/16 = 6, 108 mod 16 = 12, 16 * 6 + 12 = 108 6 - 12 = -6, 6 c 6c 109/17 = 6, 109 mod 17 = 7, 17 * 6 + 7 = 109 109/16 = 6, 109 mod 16 = 13, 16 * 6 + 13 = 109 6 - 13 = -7, 6 d 6d 110/17 = 6, 110 mod 17 = 8, 17 * 6 + 8 = 110 110/16 = 6, 110 mod 16 = 14, 16 * 6 + 14 = 110 6 - 14 = -8, 6 e 6e 111/17 = 6, 111 mod 17 = 9, 17 * 6 + 9 = 111 111/16 = 6, 111 mod 16 = 15, 16 * 6 + 15 = 111 6 - 15 = -9, 6 f 6f 112/17 = 6, 112 mod 17 = 10, 17 * 6 + 10 = 112 112/16 = 7, 112 mod 16 = 0, 16 * 7 + 0 = 112 7 - 0 = 7, 7 0 70 113/17 = 6, 113 mod 17 = 11, 17 * 6 + 11 = 113 113/16 = 7, 113 mod 16 = 1, 16 * 7 + 1 = 113 7 - 1 = 6, 7 1 71 114/17 = 6, 114 mod 17 = 12, 17 * 6 + 12 = 114 114/16 = 7, 114 mod 16 = 2, 16 * 7 + 2 = 114 7 - 2 = 5, 7 2 72 115/17 = 6, 115 mod 17 = 13, 17 * 6 + 13 = 115 115/16 = 7, 115 mod 16 = 3, 16 * 7 + 3 = 115 7 - 3 = 4, 7 3 73 116/17 = 6, 116 mod 17 = 14, 17 * 6 + 14 = 116 116/16 = 7, 116 mod 16 = 4, 16 * 7 + 4 = 116 7 - 4 = 3, 7 4 74 117/17 = 6, 117 mod 17 = 15, 17 * 6 + 15 = 117 117/16 = 7, 117 mod 16 = 5, 16 * 7 + 5 = 117 7 - 5 = 2, 7 5 75 118/17 = 6, 118 mod 17 = 16, 17 * 6 + 16 = 118 118/16 = 7, 118 mod 16 = 6, 16 * 7 + 6 = 118 7 - 6 = 1, 7 6 76 119/17 = 7, 119 mod 17 = 0, 17 * 7 + 0 = 119 119/16 = 7, 119 mod 16 = 7, 16 * 7 + 7 = 119 7 - 7 = 0, 7 7 77 120/17 = 7, 120 mod 17 = 1, 17 * 7 + 1 = 120 120/16 = 7, 120 mod 16 = 8, 16 * 7 + 8 = 120 7 - 8 = -1, 7 8 78 121/17 = 7, 121 mod 17 = 2, 17 * 7 + 2 = 121 121/16 = 7, 121 mod 16 = 9, 16 * 7 + 9 = 121 7 - 9 = -2, 7 9 79 122/17 = 7, 122 mod 17 = 3, 17 * 7 + 3 = 122 122/16 = 7, 122 mod 16 = 10, 16 * 7 + 10 = 122 7 - 10 = -3, 7 a 7a 123/17 = 7, 123 mod 17 = 4, 17 * 7 + 4 = 123 123/16 = 7, 123 mod 16 = 11, 16 * 7 + 11 = 123 7 - 11 = -4, 7 b 7b 124/17 = 7, 124 mod 17 = 5, 17 * 7 + 5 = 124 124/16 = 7, 124 mod 16 = 12, 16 * 7 + 12 = 124 7 - 12 = -5, 7 c 7c 125/17 = 7, 125 mod 17 = 6, 17 * 7 + 6 = 125 125/16 = 7, 125 mod 16 = 13, 16 * 7 + 13 = 125 7 - 13 = -6, 7 d 7d 126/17 = 7, 126 mod 17 = 7, 17 * 7 + 7 = 126 126/16 = 7, 126 mod 16 = 14, 16 * 7 + 14 = 126 7 - 14 = -7, 7 e 7e 127/17 = 7, 127 mod 17 = 8, 17 * 7 + 8 = 127 127/16 = 7, 127 mod 16 = 15, 16 * 7 + 15 = 127 7 - 15 = -8, 7 f 7f 128/17 = 7, 128 mod 17 = 9, 17 * 7 + 9 = 128 128/16 = 8, 128 mod 16 = 0, 16 * 8 + 0 = 128 8 - 0 = 8, 8 0 80 129/17 = 7, 129 mod 17 = 10, 17 * 7 + 10 = 129 129/16 = 8, 129 mod 16 = 1, 16 * 8 + 1 = 129 8 - 1 = 7, 8 1 81 130/17 = 7, 130 mod 17 = 11, 17 * 7 + 11 = 130 130/16 = 8, 130 mod 16 = 2, 16 * 8 + 2 = 130 8 - 2 = 6, 8 2 82 131/17 = 7, 131 mod 17 = 12, 17 * 7 + 12 = 131 131/16 = 8, 131 mod 16 = 3, 16 * 8 + 3 = 131 8 - 3 = 5, 8 3 83 132/17 = 7, 132 mod 17 = 13, 17 * 7 + 13 = 132 132/16 = 8, 132 mod 16 = 4, 16 * 8 + 4 = 132 8 - 4 = 4, 8 4 84 133/17 = 7, 133 mod 17 = 14, 17 * 7 + 14 = 133 133/16 = 8, 133 mod 16 = 5, 16 * 8 + 5 = 133 8 - 5 = 3, 8 5 85 134/17 = 7, 134 mod 17 = 15, 17 * 7 + 15 = 134 134/16 = 8, 134 mod 16 = 6, 16 * 8 + 6 = 134 8 - 6 = 2, 8 6 86 135/17 = 7, 135 mod 17 = 16, 17 * 7 + 16 = 135 135/16 = 8, 135 mod 16 = 7, 16 * 8 + 7 = 135 8 - 7 = 1, 8 7 87 136/17 = 8, 136 mod 17 = 0, 17 * 8 + 0 = 136 136/16 = 8, 136 mod 16 = 8, 16 * 8 + 8 = 136 8 - 8 = 0, 8 8 88 137/17 = 8, 137 mod 17 = 1, 17 * 8 + 1 = 137 137/16 = 8, 137 mod 16 = 9, 16 * 8 + 9 = 137 8 - 9 = -1, 8 9 89 138/17 = 8, 138 mod 17 = 2, 17 * 8 + 2 = 138 138/16 = 8, 138 mod 16 = 10, 16 * 8 + 10 = 138 8 - 10 = -2, 8 a 8a 139/17 = 8, 139 mod 17 = 3, 17 * 8 + 3 = 139 139/16 = 8, 139 mod 16 = 11, 16 * 8 + 11 = 139 8 - 11 = -3, 8 b 8b 140/17 = 8, 140 mod 17 = 4, 17 * 8 + 4 = 140 140/16 = 8, 140 mod 16 = 12, 16 * 8 + 12 = 140 8 - 12 = -4, 8 c 8c 141/17 = 8, 141 mod 17 = 5, 17 * 8 + 5 = 141 141/16 = 8, 141 mod 16 = 13, 16 * 8 + 13 = 141 8 - 13 = -5, 8 d 8d 142/17 = 8, 142 mod 17 = 6, 17 * 8 + 6 = 142 142/16 = 8, 142 mod 16 = 14, 16 * 8 + 14 = 142 8 - 14 = -6, 8 e 8e 143/17 = 8, 143 mod 17 = 7, 17 * 8 + 7 = 143 143/16 = 8, 143 mod 16 = 15, 16 * 8 + 15 = 143 8 - 15 = -7, 8 f 8f 144/17 = 8, 144 mod 17 = 8, 17 * 8 + 8 = 144 144/16 = 9, 144 mod 16 = 0, 16 * 9 + 0 = 144 9 - 0 = 9, 9 0 90 145/17 = 8, 145 mod 17 = 9, 17 * 8 + 9 = 145 145/16 = 9, 145 mod 16 = 1, 16 * 9 + 1 = 145 9 - 1 = 8, 9 1 91 146/17 = 8, 146 mod 17 = 10, 17 * 8 + 10 = 146 146/16 = 9, 146 mod 16 = 2, 16 * 9 + 2 = 146 9 - 2 = 7, 9 2 92 147/17 = 8, 147 mod 17 = 11, 17 * 8 + 11 = 147 147/16 = 9, 147 mod 16 = 3, 16 * 9 + 3 = 147 9 - 3 = 6, 9 3 93 148/17 = 8, 148 mod 17 = 12, 17 * 8 + 12 = 148 148/16 = 9, 148 mod 16 = 4, 16 * 9 + 4 = 148 9 - 4 = 5, 9 4 94 149/17 = 8, 149 mod 17 = 13, 17 * 8 + 13 = 149 149/16 = 9, 149 mod 16 = 5, 16 * 9 + 5 = 149 9 - 5 = 4, 9 5 95 150/17 = 8, 150 mod 17 = 14, 17 * 8 + 14 = 150 150/16 = 9, 150 mod 16 = 6, 16 * 9 + 6 = 150 9 - 6 = 3, 9 6 96 151/17 = 8, 151 mod 17 = 15, 17 * 8 + 15 = 151 151/16 = 9, 151 mod 16 = 7, 16 * 9 + 7 = 151 9 - 7 = 2, 9 7 97 152/17 = 8, 152 mod 17 = 16, 17 * 8 + 16 = 152 152/16 = 9, 152 mod 16 = 8, 16 * 9 + 8 = 152 9 - 8 = 1, 9 8 98 153/17 = 9, 153 mod 17 = 0, 17 * 9 + 0 = 153 153/16 = 9, 153 mod 16 = 9, 16 * 9 + 9 = 153 9 - 9 = 0, 9 9 99 154/17 = 9, 154 mod 17 = 1, 17 * 9 + 1 = 154 154/16 = 9, 154 mod 16 = 10, 16 * 9 + 10 = 154 9 - 10 = -1, 9 a 9a 155/17 = 9, 155 mod 17 = 2, 17 * 9 + 2 = 155 155/16 = 9, 155 mod 16 = 11, 16 * 9 + 11 = 155 9 - 11 = -2, 9 b 9b 156/17 = 9, 156 mod 17 = 3, 17 * 9 + 3 = 156 156/16 = 9, 156 mod 16 = 12, 16 * 9 + 12 = 156 9 - 12 = -3, 9 c 9c 157/17 = 9, 157 mod 17 = 4, 17 * 9 + 4 = 157 157/16 = 9, 157 mod 16 = 13, 16 * 9 + 13 = 157 9 - 13 = -4, 9 d 9d 158/17 = 9, 158 mod 17 = 5, 17 * 9 + 5 = 158 158/16 = 9, 158 mod 16 = 14, 16 * 9 + 14 = 158 9 - 14 = -5, 9 e 9e 159/17 = 9, 159 mod 17 = 6, 17 * 9 + 6 = 159 159/16 = 9, 159 mod 16 = 15, 16 * 9 + 15 = 159 9 - 15 = -6, 9 f 9f 160/17 = 9, 160 mod 17 = 7, 17 * 9 + 7 = 160 160/16 = 10, 160 mod 16 = 0, 16 * 10 + 0 = 160 10 - 0 = 10, a 0 a0 161/17 = 9, 161 mod 17 = 8, 17 * 9 + 8 = 161 161/16 = 10, 161 mod 16 = 1, 16 * 10 + 1 = 161 10 - 1 = 9, a 1 a1 162/17 = 9, 162 mod 17 = 9, 17 * 9 + 9 = 162 162/16 = 10, 162 mod 16 = 2, 16 * 10 + 2 = 162 10 - 2 = 8, a 2 a2 163/17 = 9, 163 mod 17 = 10, 17 * 9 + 10 = 163 163/16 = 10, 163 mod 16 = 3, 16 * 10 + 3 = 163 10 - 3 = 7, a 3 a3 164/17 = 9, 164 mod 17 = 11, 17 * 9 + 11 = 164 164/16 = 10, 164 mod 16 = 4, 16 * 10 + 4 = 164 10 - 4 = 6, a 4 a4 165/17 = 9, 165 mod 17 = 12, 17 * 9 + 12 = 165 165/16 = 10, 165 mod 16 = 5, 16 * 10 + 5 = 165 10 - 5 = 5, a 5 a5 166/17 = 9, 166 mod 17 = 13, 17 * 9 + 13 = 166 166/16 = 10, 166 mod 16 = 6, 16 * 10 + 6 = 166 10 - 6 = 4, a 6 a6 167/17 = 9, 167 mod 17 = 14, 17 * 9 + 14 = 167 167/16 = 10, 167 mod 16 = 7, 16 * 10 + 7 = 167 10 - 7 = 3, a 7 a7 168/17 = 9, 168 mod 17 = 15, 17 * 9 + 15 = 168 168/16 = 10, 168 mod 16 = 8, 16 * 10 + 8 = 168 10 - 8 = 2, a 8 a8 169/17 = 9, 169 mod 17 = 16, 17 * 9 + 16 = 169 169/16 = 10, 169 mod 16 = 9, 16 * 10 + 9 = 169 10 - 9 = 1, a 9 a9 170/17 = 10, 170 mod 17 = 0, 17 * 10 + 0 = 170 170/16 = 10, 170 mod 16 = 10, 16 * 10 + 10 = 170 10 - 10 = 0, a a aa 171/17 = 10, 171 mod 17 = 1, 17 * 10 + 1 = 171 171/16 = 10, 171 mod 16 = 11, 16 * 10 + 11 = 171 10 - 11 = -1, a b ab 172/17 = 10, 172 mod 17 = 2, 17 * 10 + 2 = 172 172/16 = 10, 172 mod 16 = 12, 16 * 10 + 12 = 172 10 - 12 = -2, a c ac 173/17 = 10, 173 mod 17 = 3, 17 * 10 + 3 = 173 173/16 = 10, 173 mod 16 = 13, 16 * 10 + 13 = 173 10 - 13 = -3, a d ad 174/17 = 10, 174 mod 17 = 4, 17 * 10 + 4 = 174 174/16 = 10, 174 mod 16 = 14, 16 * 10 + 14 = 174 10 - 14 = -4, a e ae 175/17 = 10, 175 mod 17 = 5, 17 * 10 + 5 = 175 175/16 = 10, 175 mod 16 = 15, 16 * 10 + 15 = 175 10 - 15 = -5, a f af 176/17 = 10, 176 mod 17 = 6, 17 * 10 + 6 = 176 176/16 = 11, 176 mod 16 = 0, 16 * 11 + 0 = 176 11 - 0 = 11, b 0 b0 177/17 = 10, 177 mod 17 = 7, 17 * 10 + 7 = 177 177/16 = 11, 177 mod 16 = 1, 16 * 11 + 1 = 177 11 - 1 = 10, b 1 b1 178/17 = 10, 178 mod 17 = 8, 17 * 10 + 8 = 178 178/16 = 11, 178 mod 16 = 2, 16 * 11 + 2 = 178 11 - 2 = 9, b 2 b2 179/17 = 10, 179 mod 17 = 9, 17 * 10 + 9 = 179 179/16 = 11, 179 mod 16 = 3, 16 * 11 + 3 = 179 11 - 3 = 8, b 3 b3 180/17 = 10, 180 mod 17 = 10, 17 * 10 + 10 = 180 180/16 = 11, 180 mod 16 = 4, 16 * 11 + 4 = 180 11 - 4 = 7, b 4 b4 181/17 = 10, 181 mod 17 = 11, 17 * 10 + 11 = 181 181/16 = 11, 181 mod 16 = 5, 16 * 11 + 5 = 181 11 - 5 = 6, b 5 b5 182/17 = 10, 182 mod 17 = 12, 17 * 10 + 12 = 182 182/16 = 11, 182 mod 16 = 6, 16 * 11 + 6 = 182 11 - 6 = 5, b 6 b6 183/17 = 10, 183 mod 17 = 13, 17 * 10 + 13 = 183 183/16 = 11, 183 mod 16 = 7, 16 * 11 + 7 = 183 11 - 7 = 4, b 7 b7 184/17 = 10, 184 mod 17 = 14, 17 * 10 + 14 = 184 184/16 = 11, 184 mod 16 = 8, 16 * 11 + 8 = 184 11 - 8 = 3, b 8 b8 185/17 = 10, 185 mod 17 = 15, 17 * 10 + 15 = 185 185/16 = 11, 185 mod 16 = 9, 16 * 11 + 9 = 185 11 - 9 = 2, b 9 b9 186/17 = 10, 186 mod 17 = 16, 17 * 10 + 16 = 186 186/16 = 11, 186 mod 16 = 10, 16 * 11 + 10 = 186 11 - 10 = 1, b a ba 187/17 = 11, 187 mod 17 = 0, 17 * 11 + 0 = 187 187/16 = 11, 187 mod 16 = 11, 16 * 11 + 11 = 187 11 - 11 = 0, b b bb 188/17 = 11, 188 mod 17 = 1, 17 * 11 + 1 = 188 188/16 = 11, 188 mod 16 = 12, 16 * 11 + 12 = 188 11 - 12 = -1, b c bc 189/17 = 11, 189 mod 17 = 2, 17 * 11 + 2 = 189 189/16 = 11, 189 mod 16 = 13, 16 * 11 + 13 = 189 11 - 13 = -2, b d bd 190/17 = 11, 190 mod 17 = 3, 17 * 11 + 3 = 190 190/16 = 11, 190 mod 16 = 14, 16 * 11 + 14 = 190 11 - 14 = -3, b e be 191/17 = 11, 191 mod 17 = 4, 17 * 11 + 4 = 191 191/16 = 11, 191 mod 16 = 15, 16 * 11 + 15 = 191 11 - 15 = -4, b f bf 192/17 = 11, 192 mod 17 = 5, 17 * 11 + 5 = 192 192/16 = 12, 192 mod 16 = 0, 16 * 12 + 0 = 192 12 - 0 = 12, c 0 c0 193/17 = 11, 193 mod 17 = 6, 17 * 11 + 6 = 193 193/16 = 12, 193 mod 16 = 1, 16 * 12 + 1 = 193 12 - 1 = 11, c 1 c1 194/17 = 11, 194 mod 17 = 7, 17 * 11 + 7 = 194 194/16 = 12, 194 mod 16 = 2, 16 * 12 + 2 = 194 12 - 2 = 10, c 2 c2 195/17 = 11, 195 mod 17 = 8, 17 * 11 + 8 = 195 195/16 = 12, 195 mod 16 = 3, 16 * 12 + 3 = 195 12 - 3 = 9, c 3 c3 196/17 = 11, 196 mod 17 = 9, 17 * 11 + 9 = 196 196/16 = 12, 196 mod 16 = 4, 16 * 12 + 4 = 196 12 - 4 = 8, c 4 c4 197/17 = 11, 197 mod 17 = 10, 17 * 11 + 10 = 197 197/16 = 12, 197 mod 16 = 5, 16 * 12 + 5 = 197 12 - 5 = 7, c 5 c5 198/17 = 11, 198 mod 17 = 11, 17 * 11 + 11 = 198 198/16 = 12, 198 mod 16 = 6, 16 * 12 + 6 = 198 12 - 6 = 6, c 6 c6 199/17 = 11, 199 mod 17 = 12, 17 * 11 + 12 = 199 199/16 = 12, 199 mod 16 = 7, 16 * 12 + 7 = 199 12 - 7 = 5, c 7 c7 200/17 = 11, 200 mod 17 = 13, 17 * 11 + 13 = 200 200/16 = 12, 200 mod 16 = 8, 16 * 12 + 8 = 200 12 - 8 = 4, c 8 c8 201/17 = 11, 201 mod 17 = 14, 17 * 11 + 14 = 201 201/16 = 12, 201 mod 16 = 9, 16 * 12 + 9 = 201 12 - 9 = 3, c 9 c9 202/17 = 11, 202 mod 17 = 15, 17 * 11 + 15 = 202 202/16 = 12, 202 mod 16 = 10, 16 * 12 + 10 = 202 12 - 10 = 2, c a ca 203/17 = 11, 203 mod 17 = 16, 17 * 11 + 16 = 203 203/16 = 12, 203 mod 16 = 11, 16 * 12 + 11 = 203 12 - 11 = 1, c b cb 204/17 = 12, 204 mod 17 = 0, 17 * 12 + 0 = 204 204/16 = 12, 204 mod 16 = 12, 16 * 12 + 12 = 204 12 - 12 = 0, c c cc 205/17 = 12, 205 mod 17 = 1, 17 * 12 + 1 = 205 205/16 = 12, 205 mod 16 = 13, 16 * 12 + 13 = 205 12 - 13 = -1, c d cd 206/17 = 12, 206 mod 17 = 2, 17 * 12 + 2 = 206 206/16 = 12, 206 mod 16 = 14, 16 * 12 + 14 = 206 12 - 14 = -2, c e ce 207/17 = 12, 207 mod 17 = 3, 17 * 12 + 3 = 207 207/16 = 12, 207 mod 16 = 15, 16 * 12 + 15 = 207 12 - 15 = -3, c f cf 208/17 = 12, 208 mod 17 = 4, 17 * 12 + 4 = 208 208/16 = 13, 208 mod 16 = 0, 16 * 13 + 0 = 208 13 - 0 = 13, d 0 d0 209/17 = 12, 209 mod 17 = 5, 17 * 12 + 5 = 209 209/16 = 13, 209 mod 16 = 1, 16 * 13 + 1 = 209 13 - 1 = 12, d 1 d1 210/17 = 12, 210 mod 17 = 6, 17 * 12 + 6 = 210 210/16 = 13, 210 mod 16 = 2, 16 * 13 + 2 = 210 13 - 2 = 11, d 2 d2 211/17 = 12, 211 mod 17 = 7, 17 * 12 + 7 = 211 211/16 = 13, 211 mod 16 = 3, 16 * 13 + 3 = 211 13 - 3 = 10, d 3 d3 212/17 = 12, 212 mod 17 = 8, 17 * 12 + 8 = 212 212/16 = 13, 212 mod 16 = 4, 16 * 13 + 4 = 212 13 - 4 = 9, d 4 d4 213/17 = 12, 213 mod 17 = 9, 17 * 12 + 9 = 213 213/16 = 13, 213 mod 16 = 5, 16 * 13 + 5 = 213 13 - 5 = 8, d 5 d5 214/17 = 12, 214 mod 17 = 10, 17 * 12 + 10 = 214 214/16 = 13, 214 mod 16 = 6, 16 * 13 + 6 = 214 13 - 6 = 7, d 6 d6 215/17 = 12, 215 mod 17 = 11, 17 * 12 + 11 = 215 215/16 = 13, 215 mod 16 = 7, 16 * 13 + 7 = 215 13 - 7 = 6, d 7 d7 216/17 = 12, 216 mod 17 = 12, 17 * 12 + 12 = 216 216/16 = 13, 216 mod 16 = 8, 16 * 13 + 8 = 216 13 - 8 = 5, d 8 d8 217/17 = 12, 217 mod 17 = 13, 17 * 12 + 13 = 217 217/16 = 13, 217 mod 16 = 9, 16 * 13 + 9 = 217 13 - 9 = 4, d 9 d9 218/17 = 12, 218 mod 17 = 14, 17 * 12 + 14 = 218 218/16 = 13, 218 mod 16 = 10, 16 * 13 + 10 = 218 13 - 10 = 3, d a da 219/17 = 12, 219 mod 17 = 15, 17 * 12 + 15 = 219 219/16 = 13, 219 mod 16 = 11, 16 * 13 + 11 = 219 13 - 11 = 2, d b db 220/17 = 12, 220 mod 17 = 16, 17 * 12 + 16 = 220 220/16 = 13, 220 mod 16 = 12, 16 * 13 + 12 = 220 13 - 12 = 1, d c dc 221/17 = 13, 221 mod 17 = 0, 17 * 13 + 0 = 221 221/16 = 13, 221 mod 16 = 13, 16 * 13 + 13 = 221 13 - 13 = 0, d d dd 222/17 = 13, 222 mod 17 = 1, 17 * 13 + 1 = 222 222/16 = 13, 222 mod 16 = 14, 16 * 13 + 14 = 222 13 - 14 = -1, d e de 223/17 = 13, 223 mod 17 = 2, 17 * 13 + 2 = 223 223/16 = 13, 223 mod 16 = 15, 16 * 13 + 15 = 223 13 - 15 = -2, d f df 224/17 = 13, 224 mod 17 = 3, 17 * 13 + 3 = 224 224/16 = 14, 224 mod 16 = 0, 16 * 14 + 0 = 224 14 - 0 = 14, e 0 e0 225/17 = 13, 225 mod 17 = 4, 17 * 13 + 4 = 225 225/16 = 14, 225 mod 16 = 1, 16 * 14 + 1 = 225 14 - 1 = 13, e 1 e1 226/17 = 13, 226 mod 17 = 5, 17 * 13 + 5 = 226 226/16 = 14, 226 mod 16 = 2, 16 * 14 + 2 = 226 14 - 2 = 12, e 2 e2 227/17 = 13, 227 mod 17 = 6, 17 * 13 + 6 = 227 227/16 = 14, 227 mod 16 = 3, 16 * 14 + 3 = 227 14 - 3 = 11, e 3 e3 228/17 = 13, 228 mod 17 = 7, 17 * 13 + 7 = 228 228/16 = 14, 228 mod 16 = 4, 16 * 14 + 4 = 228 14 - 4 = 10, e 4 e4 229/17 = 13, 229 mod 17 = 8, 17 * 13 + 8 = 229 229/16 = 14, 229 mod 16 = 5, 16 * 14 + 5 = 229 14 - 5 = 9, e 5 e5 230/17 = 13, 230 mod 17 = 9, 17 * 13 + 9 = 230 230/16 = 14, 230 mod 16 = 6, 16 * 14 + 6 = 230 14 - 6 = 8, e 6 e6 231/17 = 13, 231 mod 17 = 10, 17 * 13 + 10 = 231 231/16 = 14, 231 mod 16 = 7, 16 * 14 + 7 = 231 14 - 7 = 7, e 7 e7 232/17 = 13, 232 mod 17 = 11, 17 * 13 + 11 = 232 232/16 = 14, 232 mod 16 = 8, 16 * 14 + 8 = 232 14 - 8 = 6, e 8 e8 233/17 = 13, 233 mod 17 = 12, 17 * 13 + 12 = 233 233/16 = 14, 233 mod 16 = 9, 16 * 14 + 9 = 233 14 - 9 = 5, e 9 e9 234/17 = 13, 234 mod 17 = 13, 17 * 13 + 13 = 234 234/16 = 14, 234 mod 16 = 10, 16 * 14 + 10 = 234 14 - 10 = 4, e a ea 235/17 = 13, 235 mod 17 = 14, 17 * 13 + 14 = 235 235/16 = 14, 235 mod 16 = 11, 16 * 14 + 11 = 235 14 - 11 = 3, e b eb 236/17 = 13, 236 mod 17 = 15, 17 * 13 + 15 = 236 236/16 = 14, 236 mod 16 = 12, 16 * 14 + 12 = 236 14 - 12 = 2, e c ec 237/17 = 13, 237 mod 17 = 16, 17 * 13 + 16 = 237 237/16 = 14, 237 mod 16 = 13, 16 * 14 + 13 = 237 14 - 13 = 1, e d ed 238/17 = 14, 238 mod 17 = 0, 17 * 14 + 0 = 238 238/16 = 14, 238 mod 16 = 14, 16 * 14 + 14 = 238 14 - 14 = 0, e e ee 239/17 = 14, 239 mod 17 = 1, 17 * 14 + 1 = 239 239/16 = 14, 239 mod 16 = 15, 16 * 14 + 15 = 239 14 - 15 = -1, e f ef 240/17 = 14, 240 mod 17 = 2, 17 * 14 + 2 = 240 240/16 = 15, 240 mod 16 = 0, 16 * 15 + 0 = 240 15 - 0 = 15, f 0 f0 241/17 = 14, 241 mod 17 = 3, 17 * 14 + 3 = 241 241/16 = 15, 241 mod 16 = 1, 16 * 15 + 1 = 241 15 - 1 = 14, f 1 f1 242/17 = 14, 242 mod 17 = 4, 17 * 14 + 4 = 242 242/16 = 15, 242 mod 16 = 2, 16 * 15 + 2 = 242 15 - 2 = 13, f 2 f2 243/17 = 14, 243 mod 17 = 5, 17 * 14 + 5 = 243 243/16 = 15, 243 mod 16 = 3, 16 * 15 + 3 = 243 15 - 3 = 12, f 3 f3 244/17 = 14, 244 mod 17 = 6, 17 * 14 + 6 = 244 244/16 = 15, 244 mod 16 = 4, 16 * 15 + 4 = 244 15 - 4 = 11, f 4 f4 245/17 = 14, 245 mod 17 = 7, 17 * 14 + 7 = 245 245/16 = 15, 245 mod 16 = 5, 16 * 15 + 5 = 245 15 - 5 = 10, f 5 f5 246/17 = 14, 246 mod 17 = 8, 17 * 14 + 8 = 246 246/16 = 15, 246 mod 16 = 6, 16 * 15 + 6 = 246 15 - 6 = 9, f 6 f6 247/17 = 14, 247 mod 17 = 9, 17 * 14 + 9 = 247 247/16 = 15, 247 mod 16 = 7, 16 * 15 + 7 = 247 15 - 7 = 8, f 7 f7 248/17 = 14, 248 mod 17 = 10, 17 * 14 + 10 = 248 248/16 = 15, 248 mod 16 = 8, 16 * 15 + 8 = 248 15 - 8 = 7, f 8 f8 249/17 = 14, 249 mod 17 = 11, 17 * 14 + 11 = 249 249/16 = 15, 249 mod 16 = 9, 16 * 15 + 9 = 249 15 - 9 = 6, f 9 f9 250/17 = 14, 250 mod 17 = 12, 17 * 14 + 12 = 250 250/16 = 15, 250 mod 16 = 10, 16 * 15 + 10 = 250 15 - 10 = 5, f a fa 251/17 = 14, 251 mod 17 = 13, 17 * 14 + 13 = 251 251/16 = 15, 251 mod 16 = 11, 16 * 15 + 11 = 251 15 - 11 = 4, f b fb 252/17 = 14, 252 mod 17 = 14, 17 * 14 + 14 = 252 252/16 = 15, 252 mod 16 = 12, 16 * 15 + 12 = 252 15 - 12 = 3, f c fc 253/17 = 14, 253 mod 17 = 15, 17 * 14 + 15 = 253 253/16 = 15, 253 mod 16 = 13, 16 * 15 + 13 = 253 15 - 13 = 2, f d fd 254/17 = 14, 254 mod 17 = 16, 17 * 14 + 16 = 254 254/16 = 15, 254 mod 16 = 14, 16 * 15 + 14 = 254 15 - 14 = 1, f e fe 255/17 = 15, 255 mod 17 = 0, 17 * 15 + 0 = 255 255/16 = 15, 255 mod 16 = 15, 16 * 15 + 15 = 255 15 - 15 = 0, f f ff
Aha, ich glaube das bestaetigt, die Regel
97/17 = 5, 97 mod 17 = 12, 17 * 5 + 12 = 97 97/16 = 6, 97 mod 16 = 1, 16 * 6 + 1 = 97 6 - 1 = 5, 6 1 61 16*5+5+12=97 Wie kommt das Ergebnis zustande? Warum 16*5 und nicht mal 17*5 nun 16 ist die eigentliche division, die wir eben ganz einfach durchfuehren koennen. wir muessen nur >> 4 Bit machn 10000 dabei bleibt ein Rest. Natuerlich muessen wir den nehmen den wir hatten. mit dem Unterschied zum Rest, ergibt sich das, was bei der Division bei 17 herauskommen wuerde. Ein Rest. Den Rest muessen wir uns jetzt merken, wenn wir fortfahren. Wir addieren alle Reste.
jetzt gehe ich alle Ergebnisse durch und gucke ob Fehler drin sind. Wenn nein gut. Dann benutze ich 101 und hoffe ich kriege es mit eine Verschiebung von 2 Bit, bei der Subtraktion auch hin
es ist kein fehler drin, wahrscheinlich, teste ich kurz, aber bei der Probe habe ich mich gerade selbst rein gelegt. Weil bei der Probe muss ich als Multiplikand natuerlich den von 17 nehmen, als Quotient und nicht den von 16 das ist ja die probe.