Учебник + задачник АП Ильиных
.pdf132. |
[ 5, 1, 4 ], [ 6, 2, 5 ], [ 6, 9, 17 ] |
162. |
[ 5, 5, 6 ], [ 8, 4, 11 ], [ 6, 18, 19 ] |
133. |
[ 5, 3, 4 ], [ 8, 3, 7 ], [ 4, 5, 13 ] |
163. |
[ 5, 3, 8 ], [ 12, 3, 5 ], [ 4, 14, 17 ] |
134. |
[ 5, 3, 4 ], [ 8, 1, 7 ], [ 6, 2, 19 ] |
164. |
[ 5, 5, 8 ], [ 12, 2, 7 ], [ 6, 6, 13 ] |
135. |
[ 5, 1, 4 ], [ 12, 6, 11 ], [ 4, 6, 17 ] |
165. |
[ 7, 3, 8 ], [ 6, 2, 7 ], [ 4, 16, 19 ] |
136. |
[ 5, 5, 6 ], [ 12, 3, 5 ], [ 6, 3, 13 ] |
166. |
[ 5, 5, 6 ], [ 6, 3, 7 ], [ 4, 1, 19 ] |
137. |
[ 7, 5, 6 ], [ 6, 4, 5 ], [ 4, 6, 19 ] |
167. |
[ 5, 5, 6 ], [ 6, 1, 11 ], [ 6, 4, 17 ] |
138. |
[ 5, 3, 4 ], [ 6, 4, 5 ], [ 4, 17, 19 ] |
168. |
[ 5, 1, 8 ], [ 8, 3, 5 ], [ 4, 1, 13 ] |
139. |
[ 5, 1, 4 ], [ 6, 4, 7 ], [ 6, 16, 17 ] |
169. |
[ 5, 3, 8 ], [ 8, 1, 5 ], [ 6, 14, 19 ] |
140. |
[ 5, 1, 4 ], [ 8, 3, 11 ], [ 4, 7, 13 ] |
170. |
[ 5, 1, 8 ], [ 12, 2, 7 ], [ 4, 9, 17 ] |
141. |
[ 5, 3, 4 ], [ 8, 3, 11 ], [ 6, 6, 19 ] |
171. |
[ 5, 1, 8 ], [ 12, 7, 11 ], [ 6, 4, 13 ] |
142. |
[ 5, 1, 6 ], [ 12, 3, 5 ], [ 4, 15, 17 ] |
172. |
[ 7, 5, 8 ], [ 6, 10, 11 ], [ 4, 6, 19 ] |
143. |
[ 5, 1, 6 ], [ 12, 1, 7 ], [ 6, 4, 13 ] |
173. |
[ 5, 5, 6 ], [ 6, 9, 11 ], [ 4, 1, 19 ] |
144. |
[ 7, 5, 6 ], [ 6, 4, 7 ], [ 4, 16, 19 ] |
174. |
[ 5, 3, 8 ], [ 6, 1, 5 ], [ 6, 13, 17 ] |
145. |
[ 5, 1, 4 ], [ 6, 5, 7 ], [ 4, 15, 19 ] |
175. |
[ 5, 3, 8 ], [ 8, 2, 7 ], [ 4, 10, 13 ] |
146. |
[ 5, 1, 4 ], [ 6, 6, 11 ], [ 6, 13, 17 ] |
176. |
[ 5, 7, 8 ], [ 8, 4, 7 ], [ 6, 11, 19 ] |
147. |
[ 5, 5, 6 ], [ 8, 1, 5 ], [ 4, 4, 13 ] |
177. |
[ 5, 1, 8 ], [ 12, 2, 11 ], [ 4, 3, 17 ] |
148. |
[ 5, 5, 6 ], [ 8, 2, 5 ], [ 6, 3, 19 ] |
178. |
[ 7, 3, 4 ], [ 6, 1, 5 ], [ 4, 6, 13 ] |
149. |
[ 5, 1, 6 ], [ 12, 6, 7 ], [ 4, 11, 17 ] |
179. |
[ 7, 1, 4 ], [ 6, 2, 5 ], [ 6, 7, 19 ] |
150. |
[ 5, 5, 6 ], [ 12, 2, 11 ], [ 6, 9, 13 ] |
180. |
[ 5, 1, 8 ], [ 6, 3, 5 ], [ 4, 8, 19 ] |
151. |
[ 7, 5, 6 ], [ 6, 5, 11 ], [ 4, 8, 19 ] |
181. |
[ 5, 3, 8 ], [ 6, 5, 7 ], [ 6, 15, 17 ] |
152. |
[ 5, 3, 4 ], [ 6, 10, 11 ], [ 4, 4, 19 ] |
182. |
[ 5, 1, 8 ], [ 8, 7, 11 ], [ 4, 3, 13 ] |
153. |
[ 5, 1, 6 ], [ 6, 4, 5 ], [ 6, 7, 17 ] |
183. |
[ 5, 3, 8 ], [ 8, 1, 11 ], [ 6, 2, 19 ] |
154. |
[ 5, 5, 6 ], [ 8, 2, 7 ], [ 4, 10, 13 ] |
184. |
[ 5, 3, 4 ], [ 12, 2, 5 ], [ 6, 16, 17 ] |
155. |
[ 5, 5, 6 ], [ 8, 6, 7 ], [ 6, 17, 19 ] |
185. |
[ 7, 1, 4 ], [ 6, 4, 7 ], [ 4, 1, 13 ] |
156. |
[ 5, 1, 6 ], [ 12, 4, 11 ], [ 4, 16, 17 ] |
186. |
[ 7, 3, 4 ], [ 6, 5, 7 ], [ 6, 6, 19 ] |
157. |
[ 5, 7, 8 ], [ 12, 1, 5 ], [ 6, 8, 13 ] |
187. |
[ 5, 3, 8 ], [ 6, 4, 7 ], [ 4, 9, 19 ] |
158. |
[ 7, 3, 8 ], [ 6, 3, 5 ], [ 4, 1, 19 ] |
188. |
[ 5, 3, 8 ], [ 6, 2, 11 ], [ 6, 12, 17 ] |
159. |
[ 5, 1, 6 ], [ 6, 3, 5 ], [ 4, 14, 19 ] |
189. |
[ 5, 3, 4 ], [ 8, 1, 5 ], [ 6, 7, 13 ] |
160. |
[ 5, 5, 6 ], [ 6, 1, 7 ], [ 6, 10, 17 ] |
190. |
[ 5, 1, 4 ], [ 12, 1, 5 ], [ 4, 12, 19 ] |
161. |
[ 5, 1, 6 ], [ 8, 7, 11 ], [ 4, 5, 13 ] |
191. |
[ 5, 3, 4 ], [ 12, 1, 7 ], [ 6, 12, 17 ] |
131
192. |
[ 7, 3, 4 ], [ 6, 3, |
11 |
], [ 4, 7, 13 |
] |
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197. |
[ 5, 1, 4 |
], [ 12, 2, 7 ], [ 4, 2, 19 ] |
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193. |
[ 7, 1, 4 |
], [ 6, 5, |
11 |
], [ 6, 1, 19 |
] |
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198. |
[ 5, 3, 4 |
], [ 12, 10, 11 ], [ 6, 3, 17 ] |
194. |
[ 5, 3, 8 |
], [ 6, 6, |
11 |
], [ 4, 17, 19 |
] |
199. |
[ 7, 5, 6 |
], [ 6, 1, 5 ], [ 4, 3, 13 ] |
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195. |
[ 5, 1, 4 |
], [ 8, 4, |
5 ], [ 4, 14, 17 |
] |
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200. |
[ 5, 3, 4 |
], [ 6, 2, 5 ], [ 4, 7, 13 ] |
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196. |
[ 5, 3, 4 |
], [ 8, 4, |
7 ], [ 6, 1, 13 ] |
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Задача 23. Решить в целых неотрицательных числах уравнение ax + by = c.
|
a |
b |
c |
a |
b c |
1. |
14, 47, 1905 |
|
23. |
20, 37, 2160 |
|
2. |
18, 41, 2283 |
|
24. |
25, 31, 2469 |
|
3. |
24, 37, 2464 |
|
25. |
30, 29, 2458 |
|
4. |
28, 31, 2615 |
|
26. |
36, 23, 1817 |
|
5. |
35, 29, 3438 |
|
27. |
45, 19, 2862 |
|
6. |
42, 23, 2639 |
|
28. |
12, 17, 442 |
|
7. |
10, 19, 576 |
|
29. |
16, 13, 623 |
|
8. |
15, 17, 845 |
|
30. |
21, 11, 559 |
|
9. |
20, 13, 737 |
|
31. |
25, 47, 3155 |
|
10. |
25, 11, 759 |
|
32. |
30, 41, 4819 |
|
11. |
28, 47, 3971 |
|
33. |
36, 37, 4385 |
|
12. |
35, 41, 4050 |
|
34. |
45, 31, 4532 |
|
13. |
42, 37, 4927 |
|
35. |
12, 29, 869 |
|
14. |
10, 31, 1045 |
|
36. |
16, 23, 940 |
|
15. |
15, 29, 1034 |
|
37. |
21, 19, 1259 |
|
16. |
20, 23, 1757 |
|
38. |
27, 17, 1199 |
|
17. |
25, 19, 1430 |
|
39. |
32, 13, 1141 |
|
18. |
30, 17, 1672 |
|
40. |
40, 11, 1468 |
|
19. |
36, 13, 1575 |
|
41. |
45, 47, 6747 |
|
20. |
45, 11, 1389 |
|
42. |
12, 41, 1114 |
|
21. |
10, 47, 1127 |
|
43. |
16, 37, 2251 |
|
22. |
15, 41, 1928 |
|
44. |
21, 31, 1950 |
|
a b c
45.27, 29, 2419
46.32, 23, 2008
47.40, 19, 2802
48.48, 17, 2265
49.14, 13, 418
50.18, 11, 519
51.21, 47, 3049
52.27, 41, 2742
53.32, 37, 3346
54.40, 31, 3093
55.48, 29, 5327
56.14, 23, 1044
57.18, 19, 1220
58.24, 17, 918
59.28, 13, 1218
60.35, 11, 816
61.40, 47, 5058
62.48, 41, 6696
63.14, 37, 1774
64.18, 31, 2111
65.24, 29, 2244
66.28, 23, 1602
67.35, 19, 2355
132
68. |
42, 17, 2146 |
98. |
16, 17, 868 |
128. |
28, 17, 1031 |
69. |
10, 13, 383 |
99. |
21, 13, 1037 |
129. |
35, 13, 1405 |
70. |
15, 11, 597 |
100. |
27, 11, 812 |
130. |
42, 11, 1145 |
71. |
18, 47, 2533 |
101. |
30, 47, 3957 |
131. |
48, 47, 7885 |
72. |
24, 41, 3042 |
102. |
36, 41, 4334 |
132. |
14, 41, 1799 |
73. |
28, 37, 3105 |
103. |
45, 37, 5013 |
133. |
18, 37, 1783 |
74. |
35, 31, 3664 |
104. |
12, 31, 1321 |
134. |
24, 31, 2550 |
75. |
42, 29, 3381 |
105. |
16, 29, 1191 |
135. |
28, 29, 2415 |
76. |
10, 23, 841 |
106. |
21, 23, 1379 |
136. |
35, 23, 2627 |
77. |
15, 19, 814 |
107. |
27, 19, 1482 |
137. |
42, 19, 2681 |
78. |
20, 17, 913 |
108. |
32, 17, 1668 |
138. |
10, 17, 569 |
79. |
25, 13, 1002 |
109. |
40, 13, 1623 |
139. |
15, 13, 674 |
80. |
30, 11, 890 |
110. |
48, 11, 1538 |
140. |
20, 11, 712 |
81. |
35, 47, 4804 |
111. |
12, 47, 1662 |
141. |
24, 47, 4299 |
82. |
42, 41, 5053 |
112. |
16, 41, 2453 |
142. |
28, 41, 3345 |
83. |
10, 37, 930 |
113. |
21, 37, 2355 |
143. |
35, 37, 4483 |
84. |
15, 31, 1284 |
114. |
27, 31, 1817 |
144. |
42, 31, 3938 |
85. |
20, 29, 1709 |
115. |
32, 29, 2327 |
145. |
10, 29, 1014 |
86. |
25, 23, 1740 |
116. |
40, 23, 2379 |
146. |
15, 23, 1258 |
87. |
30, 19, 1798 |
117. |
48, 19, 2872 |
147. |
20, 19, 978 |
88. |
36, 17, 1700 |
118. |
14, 17, 625 |
148. |
25, 17, 1067 |
89. |
45, 13, 1404 |
119. |
18, 13, 766 |
149. |
30, 13, 1044 |
90. |
12, 11, 370 |
120. |
24, 11, 681 |
150. |
36, 11, 1291 |
91. |
15, 47, 2743 |
121. |
27, 47, 3802 |
151. |
42, 47, 5675 |
92. |
20, 41, 2426 |
122. |
32, 41, 3884 |
152. |
10, 41, 1132 |
93. |
25, 37, 3241 |
123. |
40, 37, 4486 |
153. |
15, 37, 1222 |
94. |
30, 31, 3044 |
124. |
48, 31, 4449 |
154. |
20, 31, 1936 |
95. |
36, 29, 3318 |
125. |
14, 29, 957 |
155. |
25, 29, 1873 |
96. |
45, 23, 3554 |
126. |
18, 23, 1335 |
156. |
30, 23, 2054 |
97. |
12, 19, 668 |
127. |
24, 19, 1297 |
157. |
36, 19, 2040 |
133
158. |
45, 17, 2314 |
173. |
12, 37, 1362 |
188. |
18, 17, 921 |
|
159. |
12, 13, 436 |
174. |
16, 31, 1133 |
189. |
24, 13, 791 |
|
160. |
16, 11, 628 |
175. |
21, 29, 1541 |
190. |
28, 11, 903 |
|
|
|
|
|
|||
161. |
20, 47, 2227 |
176. |
27, 23, 2050 |
191. |
32, 47, 5354 |
|
|
|
|
|
|||
162. |
25, 41, 3722 |
177. |
32, 19, 1877 |
192. |
40, 41, 4327 |
|
|
|
|
|
|||
163. |
30, 37, 3313 |
178. |
40, 17, 1993 |
193. |
48, 37, 4848 |
|
164. |
36, 31, 3754 |
179. |
48, 13, 1910 |
|||
|
|
|||||
165. |
45, 29, 3727 |
180. |
14, 11, 544 |
194. |
14, 31, 1096 |
|
|
|
|||||
166. |
12, 23, 672 |
181. |
16, 47, 2136 |
195. |
18, 29, 1606 |
|
|
|
|||||
167. |
16, 19, 776 |
182. |
21, 41, 2368 |
196. |
24, 23, 1929 |
|
|
|
|||||
168. |
21, 17, 1029 |
183. |
27, 37, 2376 |
197. |
28, 19, 1121 |
|
169. |
27, 13, 1007 |
184. |
32, 31, 2330 |
198. |
35, 17, 1998 |
|
170. |
32, 11, 758 |
185. |
40, 29, 3399 |
199. |
42, 13, 1654 |
|
|
|
|
|
|||
171. |
36, 47, 4590 |
186. |
48, 23, 3601 |
200. |
10, 11, 366 |
|
|
|
|
|
|||
172. |
45, 41, 4923 |
187. |
14, 19, 702 |
|
|
Задача 24. С помощью таблицы индексов решить сравнение ax ≡ b (mod m).
|
a b m |
|
a b m |
a |
b m |
|
1. |
30, 8, 73 |
13. |
18, 19, 71 |
25. |
4, 8, 13 |
|
2. |
32, 5, 59 |
14. |
2, 3, 17 |
26. |
4, 2, 17 |
|
3. |
13, 37, 67 |
15. |
1, 7, 13 |
27. |
13, 6, 59 |
|
|
|
|
|
|||
4. |
30, 22, 31 |
16. |
3, 9, 47 |
28. |
11, 23, 29 |
|
|
|
|
|
|||
5. |
16, 10, 17 |
17. |
5, 25, 53 |
29. |
13, 36, 47 |
|
|
|
|
|
|||
6. |
7, 1, 13 |
18. |
25, 16, 53 |
30. |
32, 10, 59 |
|
7. |
19, 1, 47 |
19. |
57, 74, 97 |
|||
|
|
|||||
8. |
36, 11, 97 |
20. |
23, 4, 29 |
31. |
3, 18, 71 |
|
|
|
|||||
9. |
3, 15, 29 |
21. |
18, 15, 43 |
32. |
8, 12, 17 |
|
|
|
|||||
10. |
13, 9, 19 |
22. |
6, 3, 11 |
33. |
12, 5, 13 |
|
|
|
|||||
11. |
18, 15, 31 |
23. |
7, 35, 73 |
34. |
12, 1, 17 |
|
12. |
3, 12, 23 |
24. |
14, 4, 17 |
35. |
9, 11, 17 |
134
36. |
12, 5, 31 |
66. |
56, 11, 61 |
96. |
4, 12, 19 |
37. |
33, 3, 43 |
67. |
5, 22, 23 |
97. |
19, 20, 47 |
38. |
33, 20, 79 |
68. |
74, 34, 79 |
98. |
3, 30, 89 |
39. |
1, 7, 13 |
69. |
41, 11, 47 |
99. |
14, 15, 23 |
40. |
29, 44, 53 |
70. |
21, 25, 37 |
100. |
34, 25, 37 |
41. |
69, 55, 83 |
71. |
16, 32, 71 |
101. |
19, 12, 89 |
42. |
39, 36, 53 |
72. |
27, 38, 43 |
102. |
6, 14, 17 |
43. |
1, 10, 31 |
73. |
10, 3, 17 |
103. |
80, 12, 97 |
44. |
12, 2, 29 |
74. |
1, 5, 29 |
104. |
61, 10, 89 |
45. |
13, 9, 43 |
75. |
28, 13, 43 |
105. |
30, 90, 97 |
46. |
48, 54, 71 |
76. |
4, 16, 37 |
106. |
46, 3, 73 |
47. |
5, 4, 31 |
77. |
29, 22, 47 |
107. |
3, 4, 17 |
48. |
4, 11, 17 |
78. |
53, 23, 59 |
108. |
47, 20, 89 |
49. |
8, 15, 17 |
79. |
11, 44, 89 |
109. |
4, 36, 41 |
50. |
13, 6, 31 |
80. |
10, 27, 53 |
110. |
43, 6, 53 |
51. |
5, 40, 43 |
81. |
52, 32, 61 |
111. |
18, 16, 41 |
52. |
42, 7, 47 |
82. |
3, 21, 31 |
112. |
36, 47, 97 |
53. |
92, 82, 97 |
83. |
3, 9, 11 |
113. |
4, 3, 11 |
54. |
23, 15, 43 |
84. |
14, 16, 41 |
114. |
26, 12, 31 |
55. |
44, 54, 61 |
85. |
9, 7, 11 |
115. |
1, 6, 11 |
56. |
16, 8, 19 |
86. |
60, 2, 89 |
116. |
12, 9, 13 |
57. |
10, 18, 41 |
87. |
19, 15, 23 |
117. |
45, 39, 61 |
58. |
8, 9, 11 |
88. |
11, 16, 17 |
118. |
1, 7, 13 |
59. |
8, 64, 71 |
89. |
40, 43, 79 |
119. |
15, 9, 17 |
60. |
2, 5, 11 |
90. |
6, 24, 71 |
120. |
15, 75, 89 |
61. |
36, 22, 79 |
91. |
79, 75, 83 |
121. |
34, 13, 89 |
62. |
9, 27, 31 |
92. |
26, 59, 67 |
122. |
18, 21, 41 |
63. |
31, 73, 79 |
93. |
22, 10, 61 |
123. |
8, 16, 41 |
64. |
51, 19, 67 |
94. |
14, 2, 31 |
124. |
16, 8, 17 |
65. |
14, 5, 23 |
95. |
31, 62, 79 |
125. |
38, 13, 47 |
135
126. |
8, 1, 23 |
152. |
15, 24, 37 |
127. |
27, 31, 53 |
153. |
21, 10, 29 |
128. |
16, 2, 31 |
154. |
8, 2, 11 |
129. |
14, 34, 53 |
155. |
25, 17, 79 |
130. |
47, 13, 79 |
156. |
25, 78, 97 |
131. |
39, 23, 47 |
157. |
49, 26, 83 |
132. |
35, 11, 41 |
158. |
9, 13, 41 |
133. |
2, 9, 11 |
159. |
25, 39, 43 |
134. |
16, 8, 19 |
160. |
5, 15, 67 |
135. |
87, 77, 97 |
161. |
26, 12, 37 |
136. |
67, 35, 83 |
162. |
15, 30, 79 |
137. |
19, 2, 31 |
163. |
37, 28, 61 |
138. |
14, 3, 19 |
164. |
28, 31, 53 |
139. |
13, 31, 43 |
165. |
6, 48, 59 |
140. |
42, 50, 59 |
166. |
50, 45, 61 |
141. |
24, 10, 43 |
167. |
6, 18, 61 |
142. |
40, 43, 79 |
168. |
24, 19, 29 |
143. |
7, 6, 11 |
169. |
14, 3, 19 |
144. |
54, 37, 71 |
170. |
6, 3, 11 |
145. |
12, 31, 89 |
171. |
40, 13, 67 |
146. |
71, 69, 73 |
172. |
2, 4, 71 |
147. |
21, 3, 23 |
173. |
21, 20, 37 |
148. |
26, 21, 31 |
174. |
47, 22, 83 |
149. |
29, 17, 43 |
175. |
37, 15, 59 |
150. |
31, 62, 89 |
176. |
29, 20, 61 |
151. |
56, 29, 59 |
177. |
12, 10, 37 |
178.24, 29, 67
179.47, 46, 59
180.11, 5, 13
181.52, 14, 67
182.13, 19, 23
183.20, 11, 29
184.31, 14, 37
185.10, 20, 23
186.36, 1, 41
187.17, 56, 97
188.41, 45, 73
189.17, 16, 23
190.43, 52, 67
191.37, 33, 41
192.9, 21, 23
193.18, 35, 37
194.38, 76, 83
195.14, 29, 41
196.29, 1, 43
197.58, 37, 79
198.86, 74, 89
199.7, 10, 13
200.61, 68, 79
Задача 25. С помощью таблицы индексов решить сравнение axk ≡ b (mod m).
a k b m |
a k b m |
a k b m |
136
1. |
30, 197, 52, 89 |
31. |
78, 157, 91, 97 |
61. |
12, 151, 6, 13 |
2. |
21, 173, 25, 43 |
32. |
38, 179, 2, 79 |
62. |
8, 127, 10, 41 |
3. |
39, 197, 71, 79 |
33. |
45, 167, 27, 53 |
63. |
5, 117, 20, 47 |
4. |
64, 163, 66, 97 |
34. |
9, 191, 14, 19 |
64. |
25, 159, 8, 47 |
5. |
60, 177, 33, 89 |
35. |
7, 199, 16, 19 |
65. |
17, 137, 40, 43 |
6. |
18, 131, 46, 73 |
36. |
17, 169, 28, 37 |
66. |
15, 173, 12, 19 |
7. |
30, 113, 21, 31 |
37. |
35, 189, 21, 53 |
67. |
24, 143, 19, 41 |
8. |
24, 155, 14, 89 |
38. |
1, 173, 10, 19 |
68. |
31, 113, 47, 97 |
9. |
90, 167, 13, 97 |
39. |
8, 107, 4, 43 |
69. |
4, 187, 11, 43 |
10. |
20, 149, 19, 43 |
40. |
35, 155, 43, 79 |
70. |
39, 159, 50, 53 |
11. |
38, 137, 37, 79 |
41. |
22, 163, 3, 79 |
71. |
2, 155, 3, 19 |
12. |
61, 101, 3, 67 |
42. |
2, 157, 8, 17 |
72. |
8, 135, 2, 23 |
13. |
7, 171, 5, 11 |
43. |
3, 187, 1, 13 |
73. |
3, 185, 42, 59 |
14. |
12, 119, 3, 19 |
44. |
10, 151, 8, 11 |
74. |
3, 133, 5, 13 |
15. |
28, 149, 14, 31 |
45. |
34, 129, 40, 59 |
75. |
16, 107, 24, 59 |
16. |
29, 139, 15, 37 |
46. |
48, 163, 38, 53 |
76. |
4, 109, 3, 37 |
17. |
10, 103, 8, 13 |
47. |
5, 139, 28, 31 |
77. |
36, 101, 50, 71 |
18. |
25, 129, 44, 53 |
48. |
25, 101, 5, 31 |
78. |
20, 103, 52, 79 |
19. |
5, 169, 4, 19 |
49. |
8, 163, 12, 17 |
79. |
6, 101, 9, 19 |
20. |
17, 151, 20, 61 |
50. |
6, 137, 51, 67 |
80. |
27, 113, 25, 71 |
21. |
54, 199, 4, 71 |
51. |
70, 109, 63, 79 |
81. |
66, 193, 69, 79 |
22. |
6, 129, 3, 17 |
52. |
16, 169, 50, 67 |
82. |
3, 151, 6, 29 |
23. |
61, 193, 19, 89 |
53. |
22, 175, 17, 47 |
83. |
10, 199, 13, 19 |
24. |
14, 193, 13, 17 |
54. |
38, 109, 2, 53 |
84. |
31, 137, 54, 67 |
25. |
33, 167, 7, 37 |
55. |
69, 193, 26, 97 |
85. |
40, 129, 43, 47 |
26. |
30, 103, 51, 67 |
56. |
18, 115, 7, 23 |
86. |
19, 121, 27, 29 |
27. |
15, 137, 20, 71 |
57. |
40, 133, 34, 79 |
87. |
13, 133, 11, 31 |
28. |
4, 187, 18, 31 |
58. |
30, 129, 64, 71 |
88. |
22, 163, 4, 59 |
29. |
20, 149, 17, 23 |
59. |
4, 129, 12, 41 |
89. |
29, 151, 31, 43 |
30. |
18, 129, 6, 47 |
60. |
15, 199, 21, 37 |
90. |
70, 119, 72, 73 |
137
91. |
8, 189, 47, 53 |
121. |
34, 149, 50, 89 |
151. |
26, 173, 25, 31 |
92. |
40, 183, 39, 53 |
122. |
16, 107, 8, 37 |
152. |
5, 111, 10, 17 |
93. |
36, 133, 25, 79 |
123. |
49, 181, 26, 89 |
153. |
45, 179, 24, 71 |
94. |
12, 107, 4, 37 |
124. |
21, 143, 30, 43 |
154. |
32, 127, 10, 43 |
95. |
34, 103, 19, 43 |
125. |
11, 145, 60, 67 |
155. |
25, 121, 2, 41 |
96. |
7, 143, 8, 59 |
126. |
9, 193, 10, 43 |
156. |
46, 139, 76, 79 |
97. |
19, 119, 15, 47 |
127. |
39, 117, 5, 41 |
157. |
53, 151, 39, 73 |
98. |
47, 127, 48, 79 |
128. |
5, 155, 6, 29 |
158. |
2, 131, 1, 13 |
99. |
29, 131, 23, 67 |
129. |
5, 167, 20, 23 |
159. |
20, 179, 7, 89 |
100. |
39, 181, 40, 43 |
130. |
20, 115, 4, 29 |
160. |
7, 149, 5, 11 |
101. |
27, 197, 17, 31 |
131. |
24, 137, 11, 31 |
161. |
9, 119, 77, 83 |
102. |
11, 109, 3, 31 |
132. |
14, 159, 13, 59 |
162. |
6, 193, 8, 13 |
103. |
14, 115, 29, 79 |
133. |
3, 133, 6, 13 |
163. |
48, 109, 4, 53 |
104. |
16, 121, 62, 83 |
134. |
16, 193, 18, 19 |
164. |
61, 123, 2, 89 |
105. |
41, 127, 60, 67 |
135. |
27, 127, 23, 31 |
165. |
38, 195, 3, 89 |
106. |
16, 193, 7, 19 |
136. |
11, 133, 16, 31 |
166. |
53, 131, 69, 79 |
107. |
2, 193, 10, 31 |
137. |
28, 111, 13, 83 |
167. |
23, 115, 17, 83 |
108. |
64, 199, 94, 97 |
138. |
7, 153, 5, 11 |
168. |
24, 149, 11, 29 |
109. |
46, 107, 6, 47 |
139. |
23, 175, 31, 47 |
169. |
9, 163, 2, 41 |
110. |
6, 129, 19, 23 |
140. |
7, 161, 4, 13 |
170. |
45, 173, 21, 79 |
111. |
9, 191, 27, 61 |
141. |
5, 191, 11, 17 |
171. |
50, 131, 23, 61 |
112. |
7, 137, 19, 29 |
142. |
91, 113, 84, 97 |
172. |
66, 133, 60, 67 |
113. |
13, 115, 45, 73 |
143. |
25, 167, 57, 71 |
173. |
8, 129, 19, 29 |
114. |
16, 135, 18, 23 |
144. |
71, 115, 60, 73 |
174. |
5, 137, 3, 13 |
115. |
29, 171, 49, 71 |
145. |
58, 107, 47, 73 |
175. |
20, 199, 18, 31 |
116. |
3, 191, 7, 19 |
146. |
4, 113, 7, 19 |
176. |
57, 151, 48, 73 |
117. |
22, 103, 60, 73 |
147. |
6, 177, 4, 11 |
177. |
8, 123, 60, 71 |
118. |
23, 167, 20, 53 |
148. |
29, 193, 64, 71 |
178. |
30, 143, 56, 61 |
119. |
15, 179, 24, 43 |
149. |
25, 127, 9, 29 |
179. |
1, 125, 9, 17 |
120. |
13, 117, 14, 23 |
150. |
8, 155, 23, 37 |
180. |
82, 125, 64, 83 |
138
181. |
11, 143, 16, 19 |
188. |
14, 123, 48, 53 |
195. |
16, 173, 6, 17 |
182. |
17, 157, 11, 19 |
189. |
65, 127, 72, 79 |
196. |
70, 127, 9, 73 |
183. |
38, 187, 15, 47 |
190. |
18, 121, 30, 43 |
197. |
22, 103, 15, 31 |
184. |
58, 129, 27, 71 |
191. |
45, 109, 67, 79 |
198. |
2, 197, 23, 67 |
|
|
|
|
||
185. |
9, 109, 5, 13 |
192. |
6, 197, 9, 11 |
199. |
7, 191, 10, 13 |
|
|
|
|
||
186. |
25, 157, 49, 73 |
193. |
35, 179, 7, 41 |
200. |
22, 151, 42, 43 |
|
|
|
|
||
187. |
23, 153, 40, 59 |
194. |
64, 179, 30, 71 |
|
|
Задача 26. С помощью таблицы индексов решить сравнение a · bx ≡ c (mod m).
|
a b c m |
a |
b c m |
1. |
30, 83, 4, 97 |
21. |
18, 29, 16, 43 |
2. |
32, 50, 16, 59 |
22. |
57, 33, 68, 71 |
3. |
19, 34, 35, 43 |
23. |
9, 2, 3, 19 |
4. |
15, 79, 12, 83 |
24. |
7, 7, 9, 11 |
5. |
75, 15, 62, 83 |
25. |
6, 11, 41, 67 |
6. |
2, 17, 20, 23 |
26. |
73, 14, 19, 97 |
7. |
30, 22, 18, 31 |
27. |
59, 31, 34, 61 |
8. |
12, 45, 20, 73 |
28. |
21, 7, 38, 41 |
9. |
21, 19, 16, 23 |
29. |
23, 7, 34, 41 |
10. |
24, 67, 44, 71 |
30. |
11, 77, 24, 79 |
11. |
36, 15, 35, 41 |
31. |
78, 58, 14, 83 |
12. |
61, 48, 62, 67 |
32. |
8, 10, 11, 17 |
13. |
8, 17, 13, 61 |
33. |
11, 28, 9, 41 |
14. |
10, 38, 59, 89 |
34. |
63, 77, 26, 79 |
15. |
44, 11, 22, 59 |
35. |
12, 34, 16, 53 |
16. |
13, 39, 74, 79 |
36. |
39, 46, 38, 67 |
17. |
4, 14, 12, 19 |
37. |
35, 51, 24, 53 |
18. |
8, 18, 56, 61 |
38. |
33, 7, 32, 79 |
19. |
27, 34, 13, 83 |
39. |
3, 11, 16, 41 |
20. |
5, 6, 4, 17 |
40. |
6, 3, 12, 19 |
a b c m
41.10, 11, 7, 13
42.13, 80, 11, 83
43.3, 6, 8, 13
44.76, 56, 49, 83
45.13, 28, 12, 43
46.48, 26, 16, 53
47.38, 53, 13, 83
48.34, 8, 17, 53
49.26, 30, 4, 43
50.8, 7, 22, 23
51.9, 11, 5, 13
52.7, 14, 15, 29
53.43, 22, 14, 71
54.7, 2, 12, 13
55.57, 11, 14, 67
56.13, 24, 1, 31
57.14, 7, 1, 23
58.2, 10, 22, 29
59.3, 24, 29, 37
139
60. |
48, 28, 47, 67 |
90. |
9, 8, 12, 29 |
120. |
77, 63, 64, 79 |
61. |
37, 17, 57, 61 |
91. |
51, 5, 49, 97 |
121. |
14, 3, 2, 17 |
62. |
61, 7, 4, 67 |
92. |
61, 74, 80, 97 |
122. |
68, 53, 50, 83 |
63. |
37, 41, 58, 67 |
93. |
1, 24, 44, 59 |
123. |
41, 23, 27, 47 |
64. |
41, 27, 40, 53 |
94. |
12, 32, 23, 37 |
124. |
9, 15, 18, 19 |
65. |
5, 2, 8, 11 |
95. |
73, 71, 11, 83 |
125. |
72, 77, 57, 79 |
66. |
13, 30, 36, 41 |
96. |
64, 40, 39, 73 |
126. |
16, 35, 15, 41 |
67. |
36, 17, 38, 61 |
97. |
13, 19, 9, 37 |
127. |
2, 3, 38, 43 |
68. |
54, 42, 63, 73 |
98. |
1, 5, 43, 47 |
128. |
3, 6, 6, 11 |
69. |
8, 6, 3, 13 |
99. |
1, 11, 3, 17 |
129. |
14, 21, 1, 53 |
70. |
5, 6, 7, 11 |
100. |
36, 6, 6, 59 |
130. |
16, 20, 63, 73 |
71. |
49, 23, 56, 59 |
101. |
42, 23, 49, 97 |
131. |
18, 65, 14, 71 |
72. |
2, 33, 41, 47 |
102. |
15, 52, 42, 59 |
132. |
69, 30, 11, 79 |
73. |
39, 39, 7, 47 |
103. |
1, 7, 6, 11 |
133. |
62, 15, 21, 89 |
74. |
52, 8, 32, 53 |
104. |
61, 63, 9, 89 |
134. |
40, 18, 34, 43 |
75. |
1, 6, 7, 11 |
105. |
30, 14, 73, 97 |
135. |
43, 17, 57, 61 |
76. |
10, 11, 5, 13 |
106. |
9, 11, 5, 13 |
136. |
7, 28, 72, 89 |
77. |
4, 60, 14, 79 |
107. |
25, 2, 18, 61 |
137. |
8, 7, 4, 11 |
78. |
16, 2, 12, 29 |
108. |
28, 22, 38, 47 |
138. |
54, 5, 78, 97 |
79. |
2, 50, 43, 53 |
109. |
29, 21, 35, 97 |
139. |
73, 77, 69, 79 |
80. |
26, 34, 66, 79 |
110. |
43, 45, 30, 53 |
140. |
1, 3, 5, 17 |
81. |
4, 31, 5, 67 |
111. |
10, 11, 15, 31 |
141. |
8, 54, 54, 79 |
82. |
3, 21, 4, 31 |
112. |
45, 7, 38, 61 |
142. |
47, 31, 15, 59 |
83. |
54, 47, 21, 83 |
113. |
9, 3, 33, 43 |
143. |
15, 11, 12, 67 |
84. |
85, 21, 90, 97 |
114. |
26, 21, 7, 31 |
144. |
52, 60, 47, 79 |
85. |
37, 33, 47, 71 |
115. |
12, 10, 17, 19 |
145. |
1, 18, 54, 83 |
86. |
13, 20, 5, 23 |
116. |
30, 22, 14, 31 |
146. |
35, 2, 10, 37 |
87. |
28, 2, 37, 59 |
117. |
22, 11, 2, 23 |
147. |
61, 53, 20, 79 |
88. |
11, 32, 24, 83 |
118. |
47, 40, 74, 97 |
148. |
16, 43, 26, 47 |
89. |
8, 3, 13, 31 |
119. |
30, 3, 18, 31 |
149. |
44, 34, 80, 83 |
140
