Система Диофанта — страница 12 из 12

= 11

239) x1 = 10; x2 = -1

240) x1 = -2; x2 = 17

241) x1 = 9; x2 = -11

242) x1 = -3; x2 = -13

243) x1 = 3; x2 = -1

244) x1 = 6; x2 = -7

245) x1 = 25; x2 = 5

246) x1 = 9; x2 = 7

247) x1 = 9; x2 = 13

248) x1 = -9; x2 = -7

249) x1 = 4; x2 = 2

250) x1 = 25; x2 = 1

251) x1 = 14; x2 = 7

252) x1 = 9; x2 = -2

253) x1 = -1; x2 = 13

254) x1 = -6; x2 = -1

255) x1 = -7; x2 = -7

256) x1 = 4; x2 = 7

257) x1 = 49; x2 = 2

258) x1 = -9; x2 = 13

259) x1 = 7; x2 = -13

260) x1 = 1; x2 = -17

261) x1 = -2; x2 = -1

262) x1 = 4; x2 = -2

263) x1 = 4; x2 = -13

264) x1 = 15; x2 = 2

265) x1 = -25; x2 = -1

266) x1 = -4; x2 = -1

267) x1 = 21; x2 = -1

268) x1 = 9; x2 = -5

269) x1 = -15; x2 = -3

270) x1 = -14; x2 = 1

271) x1 = -9; x2 = -1

272) x1 = 6; x2 = -13

273) x1 = 2; x2 = -13

274) x1 = -15; x2 = -2

275) x1 = -4; x2 = -17

276) x1 = 4; x2 = -17

277) x1 = -15; x2 = -5

278) x1 = -25; x2 = -5

279) x1 = -6; x2 = -11

280) x1 = 21; x2 = -2

281) x1 = -10; x2 = -3

282) x1 = -21; x2 = -3

283) x1 = -14; x2 = 7

284) x1 = -49; x2 = -2

285) x1 = 10; x2 = -11

286) x1 = -9; x2 = 11

287) x1 = -9; x2 = -3

288) x1 = 25; x2 = -2

289) x1 = -14; x2 = -7

290) x1 = -4; x2 = 7

291) x1 = -35; x2 = -3

292) x1 = -21; x2 = -1

293) x1 = -4; x2 = -7

294) x1 = -2; x2 = -13

295) x1 = 1; x2 = -13

296) x1 = 10; x2 = -3

297) x1 = -25; x2 = -3

298) x1 = 25; x2 = -3

299) x1 = -4; x2 = -5

300) x1 = -1; x2 = -17

301) x1 = -3; x2 = -3

302) x1 = 6; x2 = -1

303) x1 = -4; x2 = -11

304) x1 = 15; x2 = -1

305) x1 = 25; x2 = -1

306) x1 = 4; x2 = -3

307) x1 = -5; x2 = -5

308) x1 = -4; x2 = -13

309) x1 = -9; x2 = -13

310) x1 = -10; x2 = -11

311) x1 = -9; x2 = -5

312) x1 = -1; x2 = -13

313) x1 = -4; x2 = -3

314) x1 = -1; x2 = -1

315) x1 = 4; x2 = -7

316) x1 = -10; x2 = -1

317) x1 = -9; x2 = -11

318) x1 = -49; x2 = -1

Приложение 5. Последняя версия программы генерации задач

* Введена блокировка повторяющихся уравнений. (строки 48, 49 и функция comp_List)

* Убрав второй сомножитель в строке 41 — откажемся от усложнения уравнений.

* В строке 50 фрагмент «and abs(c) < 126» ограничивает величины цифр в уравнениях.

Ясно, что поиграв с кодом этого примера можно получить самые разнообразные листинги КУ.


.1 | # -*- coding: utf-8 -*- 

.2 | import random

.3 | 

.4 | def gen_number(k):

.5 | . . prime_number =(1, 2, 3, 5, 7, 11, 13, 17)

.6 | . . sign_number =(0, 1, 2, 3)

.7 | . . nu = prime_number[random.randint(0, k)] 

.8 | . . sign = random.choice(sign_number)

.9 | . . if sign == 0:

10 | . . . . nu = nu * -1

11 | . . return nu

12 | 

13 | def show_numb(a):

14 | . . if a > 0:

15 | . . . . return ' + '+ str(a)

16 | . . return ' - ' + str(abs(a))

17 | 

18 | def comp_List(L, m):

19 | . . for k in L:

20 | . . . . if k == m :

21 | . . . . . . return False

22 | . . return True

23 | . . 

24 | TopList = ['', '','']

25 | 

26 | f = open("quadratic.htm", 'w')

27 | f2 = open("answer.htm", 'w')

28 | 

29 | for ind in TopList:

30 | . . f.write(ind + '\n')

31 | for ind in TopList:

32 | . . f2.write(ind + '\n')

33 | 

34 | f.write('\n')

35 | f2.write('
\n')

36 | tr = 0

37 | count = 1

38 | List = []

39 | 

40 | for i in range(50000):

41 | . . x1 = gen_number(4) * gen_number(4)

42 | . . x2 = gen_number(7)

43 | . . b = x1 + x2

44 | . . c = x1 * x2

45 | . . 

46 | . . m = str(b) + ' ' + str(c)

47 | . . . . . . 

48 | . . if comp_List(List, m):

49 | . . . . List.append(m)

50 | . . . . if b != 0 and abs(c) < 126:

51 | . . . . . . if tr == 0:

52 | . . . . . . . . f.write('
')

53 | . . . . . . . . f2.write('
')

54 | . . . . . . f.write('
\n')

57 | . . . . . . f2.write('
\n')

60 | . . . . . . count += 1

61 | . . . . . . tr += 1

62 | . . . . . . if tr == 3:

63 | . . . . . . . . f.write('
')

64 | . . . . . . . . f2.write('')

65 | . . . . . . . . tr = 0

66 | 

67 | f2.write('

')

55 | . . . . . . f.write(str(count) + ') x2 '+ show_numb(b*-1) + 'x ' +show_numb(c) + ' = 0' )

56 | . . . . . . f.write('

')

58 | . . . . . . f2.write(str(count) + ') x1 = '+ str(x1) + '; x2 = ' + str(x2) )

59 | . . . . . . f2.write('

\n')

68 | f2.write('')

69 | f2.close()

70 | f.write('\n')

71 | f.write('')

72 | f.close()

73 | 

74 | print 'Done.'