Done puzzle 64
[project-euler.git] / euler35.ipynb
1 {
2 "cells": [
3 {
4 "cell_type": "code",
5 "execution_count": 25,
6 "metadata": {
7 "collapsed": false,
8 "scrolled": true
9 },
10 "outputs": [
11 {
12 "data": {
13 "text/plain": [
14 "#<Primes:0x00557898fcb500 @primes=[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 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9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973], @cache_up_to=30, @mod_candidates=[1, 7, 11, 13, 17, 19, 23, 29]>"
15 ]
16 },
17 "execution_count": 25,
18 "metadata": {},
19 "output_type": "execute_result"
20 }
21 ],
22 "source": [
23 "load 'array-numbers.rb'\n",
24 "load 'primes.rb'\n",
25 "$primes = Primes.instance"
26 ]
27 },
28 {
29 "cell_type": "code",
30 "execution_count": 26,
31 "metadata": {
32 "collapsed": false
33 },
34 "outputs": [
35 {
36 "data": {
37 "text/plain": [
38 ":all_rotations"
39 ]
40 },
41 "execution_count": 26,
42 "metadata": {},
43 "output_type": "execute_result"
44 }
45 ],
46 "source": [
47 "class Array\n",
48 " def all_rotations\n",
49 " (0...self.length).map {|r| self.rotate(r)}\n",
50 " end\n",
51 "end"
52 ]
53 },
54 {
55 "cell_type": "code",
56 "execution_count": 27,
57 "metadata": {
58 "collapsed": false
59 },
60 "outputs": [
61 {
62 "data": {
63 "text/plain": [
64 "[[1, 2, 3], [2, 3, 1], [3, 1, 2]]"
65 ]
66 },
67 "execution_count": 27,
68 "metadata": {},
69 "output_type": "execute_result"
70 }
71 ],
72 "source": [
73 "[1,2,3].all_rotations"
74 ]
75 },
76 {
77 "cell_type": "code",
78 "execution_count": 28,
79 "metadata": {
80 "collapsed": false
81 },
82 "outputs": [
83 {
84 "data": {
85 "text/plain": [
86 "[123, 231, 312]"
87 ]
88 },
89 "execution_count": 28,
90 "metadata": {},
91 "output_type": "execute_result"
92 }
93 ],
94 "source": [
95 "[1,2,3].all_rotations.map {|n| n.to_i}"
96 ]
97 },
98 {
99 "cell_type": "code",
100 "execution_count": 29,
101 "metadata": {
102 "collapsed": false
103 },
104 "outputs": [
105 {
106 "data": {
107 "text/plain": [
108 "[false, false, false]"
109 ]
110 },
111 "execution_count": 29,
112 "metadata": {},
113 "output_type": "execute_result"
114 }
115 ],
116 "source": [
117 "[1,2,3].all_rotations.map {|n| n.to_i}.map {|n| $primes.include? n}"
118 ]
119 },
120 {
121 "cell_type": "code",
122 "execution_count": 30,
123 "metadata": {
124 "collapsed": false
125 },
126 "outputs": [
127 {
128 "data": {
129 "text/plain": [
130 "[true, true]"
131 ]
132 },
133 "execution_count": 30,
134 "metadata": {},
135 "output_type": "execute_result"
136 }
137 ],
138 "source": [
139 "17.to_digits.all_rotations.map {|n| n.to_i}.map {|n| $primes.include? n}"
140 ]
141 },
142 {
143 "cell_type": "code",
144 "execution_count": 31,
145 "metadata": {
146 "collapsed": false
147 },
148 "outputs": [
149 {
150 "data": {
151 "text/plain": [
152 "false"
153 ]
154 },
155 "execution_count": 31,
156 "metadata": {},
157 "output_type": "execute_result"
158 }
159 ],
160 "source": [
161 "[1,2,3].all_rotations.map {|n| n.to_i}.all? {|n| $primes.include? n}"
162 ]
163 },
164 {
165 "cell_type": "code",
166 "execution_count": 32,
167 "metadata": {
168 "collapsed": false
169 },
170 "outputs": [
171 {
172 "data": {
173 "text/plain": [
174 "true"
175 ]
176 },
177 "execution_count": 32,
178 "metadata": {},
179 "output_type": "execute_result"
180 }
181 ],
182 "source": [
183 "17.to_digits.all_rotations.map {|n| n.to_i}.all? {|n| $primes.include? n}"
184 ]
185 },
186 {
187 "cell_type": "code",
188 "execution_count": 33,
189 "metadata": {
190 "collapsed": false
191 },
192 "outputs": [
193 {
194 "data": {
195 "text/plain": [
196 ":circular_prime?"
197 ]
198 },
199 "execution_count": 33,
200 "metadata": {},
201 "output_type": "execute_result"
202 }
203 ],
204 "source": [
205 "class Integer\n",
206 " \n",
207 " def pl\n",
208 " @@primes.primes.length\n",
209 " end\n",
210 " \n",
211 " def circular_prime?\n",
212 " self.to_digits.all_rotations.map {|n| n.to_i}.all? {|n| @@primes.include? n} if self.prime?\n",
213 " end\n",
214 "end"
215 ]
216 },
217 {
218 "cell_type": "code",
219 "execution_count": 34,
220 "metadata": {
221 "collapsed": false
222 },
223 "outputs": [
224 {
225 "data": {
226 "text/plain": [
227 "1229"
228 ]
229 },
230 "execution_count": 34,
231 "metadata": {},
232 "output_type": "execute_result"
233 }
234 ],
235 "source": [
236 "0.pl"
237 ]
238 },
239 {
240 "cell_type": "code",
241 "execution_count": 35,
242 "metadata": {
243 "collapsed": false
244 },
245 "outputs": [
246 {
247 "data": {
248 "text/plain": [
249 "[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97]"
250 ]
251 },
252 "execution_count": 35,
253 "metadata": {},
254 "output_type": "execute_result"
255 }
256 ],
257 "source": [
258 "(2..100).select {|n| n.circular_prime?}"
259 ]
260 },
261 {
262 "cell_type": "code",
263 "execution_count": 36,
264 "metadata": {
265 "collapsed": false
266 },
267 "outputs": [
268 {
269 "data": {
270 "text/plain": [
271 "[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97]"
272 ]
273 },
274 "execution_count": 36,
275 "metadata": {},
276 "output_type": "execute_result"
277 }
278 ],
279 "source": [
280 "(2..100).select {|n| n.circular_prime?}"
281 ]
282 },
283 {
284 "cell_type": "code",
285 "execution_count": 37,
286 "metadata": {
287 "collapsed": false
288 },
289 "outputs": [
290 {
291 "data": {
292 "text/plain": [
293 "13"
294 ]
295 },
296 "execution_count": 37,
297 "metadata": {},
298 "output_type": "execute_result"
299 }
300 ],
301 "source": [
302 "(2..100).select {|n| n.circular_prime?}.length"
303 ]
304 },
305 {
306 "cell_type": "code",
307 "execution_count": 38,
308 "metadata": {
309 "collapsed": false
310 },
311 "outputs": [],
312 "source": [
313 "# ps = $primes.take_while {|i| i <= 10**6}\n",
314 "# ps.length"
315 ]
316 },
317 {
318 "cell_type": "code",
319 "execution_count": 39,
320 "metadata": {
321 "collapsed": false
322 },
323 "outputs": [],
324 "source": [
325 "# (2..10**4).select {|n| n.circular_prime?}"
326 ]
327 },
328 {
329 "cell_type": "code",
330 "execution_count": 40,
331 "metadata": {
332 "collapsed": false
333 },
334 "outputs": [
335 {
336 "name": "stdout",
337 "output_type": "stream",
338 "text": [
339 "Time elapsed 0.054970036 seconds, going from 1229 to 1230 primes cached\n"
340 ]
341 },
342 {
343 "data": {
344 "text/plain": [
345 "33"
346 ]
347 },
348 "execution_count": 40,
349 "metadata": {},
350 "output_type": "execute_result"
351 }
352 ],
353 "source": [
354 "pl0 = 0.pl\n",
355 "beginning_time = Time.now\n",
356 "cps = (2..10**4).select {|n| n.circular_prime?}\n",
357 "end_time = Time.now\n",
358 "pl1 = 0.pl\n",
359 "puts \"Time elapsed #{(end_time - beginning_time)} seconds, going from #{pl0} to #{pl1} primes cached\"\n",
360 "cps.length"
361 ]
362 },
363 {
364 "cell_type": "code",
365 "execution_count": 41,
366 "metadata": {
367 "collapsed": false
368 },
369 "outputs": [
370 {
371 "name": "stdout",
372 "output_type": "stream",
373 "text": [
374 "Time elapsed 0.067191288 seconds, going from 1230 to 1230 primes cached\n"
375 ]
376 },
377 {
378 "data": {
379 "text/plain": [
380 "33"
381 ]
382 },
383 "execution_count": 41,
384 "metadata": {},
385 "output_type": "execute_result"
386 }
387 ],
388 "source": [
389 "pl0 = 0.pl\n",
390 "beginning_time = Time.now\n",
391 "cps = (2..10**4).select {|n| n.circular_prime?}\n",
392 "end_time = Time.now\n",
393 "pl1 = 0.pl\n",
394 "puts \"Time elapsed #{(end_time - beginning_time)} seconds, going from #{pl0} to #{pl1} primes cached\"\n",
395 "cps.length"
396 ]
397 },
398 {
399 "cell_type": "code",
400 "execution_count": 42,
401 "metadata": {
402 "collapsed": false
403 },
404 "outputs": [
405 {
406 "name": "stdout",
407 "output_type": "stream",
408 "text": [
409 "Time elapsed 0.448493896 seconds, going from 1230 to 9593 primes cached\n"
410 ]
411 },
412 {
413 "data": {
414 "text/plain": [
415 "43"
416 ]
417 },
418 "execution_count": 42,
419 "metadata": {},
420 "output_type": "execute_result"
421 }
422 ],
423 "source": [
424 "pl0 = 0.pl\n",
425 "beginning_time = Time.now\n",
426 "cps = (2..10**5).select {|n| n.circular_prime?}\n",
427 "end_time = Time.now\n",
428 "pl1 = 0.pl\n",
429 "puts \"Time elapsed #{(end_time - beginning_time)} seconds, going from #{pl0} to #{pl1} primes cached\"\n",
430 "cps.length"
431 ]
432 },
433 {
434 "cell_type": "code",
435 "execution_count": 43,
436 "metadata": {
437 "collapsed": false
438 },
439 "outputs": [
440 {
441 "name": "stdout",
442 "output_type": "stream",
443 "text": [
444 "Time elapsed 0.274737814 seconds, going from 9593 to 9593 primes cached\n"
445 ]
446 },
447 {
448 "data": {
449 "text/plain": [
450 "43"
451 ]
452 },
453 "execution_count": 43,
454 "metadata": {},
455 "output_type": "execute_result"
456 }
457 ],
458 "source": [
459 "pl0 = 0.pl\n",
460 "beginning_time = Time.now\n",
461 "cps = (2..10**5).select {|n| n.circular_prime?}\n",
462 "end_time = Time.now\n",
463 "pl1 = 0.pl\n",
464 "puts \"Time elapsed #{(end_time - beginning_time)} seconds, going from #{pl0} to #{pl1} primes cached\"\n",
465 "cps.length"
466 ]
467 },
468 {
469 "cell_type": "code",
470 "execution_count": 44,
471 "metadata": {
472 "collapsed": false
473 },
474 "outputs": [
475 {
476 "name": "stdout",
477 "output_type": "stream",
478 "text": [
479 "Time elapsed 10.457163873 seconds, going from 9593 to 78499 primes cached\n"
480 ]
481 },
482 {
483 "data": {
484 "text/plain": [
485 "55"
486 ]
487 },
488 "execution_count": 44,
489 "metadata": {},
490 "output_type": "execute_result"
491 }
492 ],
493 "source": [
494 "pl0 = 0.pl\n",
495 "beginning_time = Time.now\n",
496 "cps = (2..10**6).select {|n| n.circular_prime?}\n",
497 "end_time = Time.now\n",
498 "pl1 = 0.pl\n",
499 "puts \"Time elapsed #{(end_time - beginning_time)} seconds, going from #{pl0} to #{pl1} primes cached\"\n",
500 "cps.length"
501 ]
502 },
503 {
504 "cell_type": "code",
505 "execution_count": 47,
506 "metadata": {
507 "collapsed": false
508 },
509 "outputs": [
510 {
511 "name": "stdout",
512 "output_type": "stream",
513 "text": [
514 "Time elapsed 2.884361875 seconds, going from 78499 to 78499 primes cached\n"
515 ]
516 },
517 {
518 "data": {
519 "text/plain": [
520 "[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 197, 199, 311, 337, 373, 719, 733, 919, 971, 991, 1193, 1931, 3119, 3779, 7793, 7937, 9311, 9377, 11939, 19391, 19937, 37199, 39119, 71993, 91193, 93719, 93911, 99371, 193939, 199933, 319993, 331999, 391939, 393919, 919393, 933199, 939193, 939391, 993319, 999331]"
521 ]
522 },
523 "execution_count": 47,
524 "metadata": {},
525 "output_type": "execute_result"
526 }
527 ],
528 "source": [
529 "pl0 = 0.pl\n",
530 "beginning_time = Time.now\n",
531 "cps = (2..10**6).select {|n| n.circular_prime?}\n",
532 "end_time = Time.now\n",
533 "pl1 = 0.pl\n",
534 "puts \"Time elapsed #{(end_time - beginning_time)} seconds, going from #{pl0} to #{pl1} primes cached\"\n",
535 "cps"
536 ]
537 },
538 {
539 "cell_type": "code",
540 "execution_count": null,
541 "metadata": {
542 "collapsed": true
543 },
544 "outputs": [],
545 "source": []
546 }
547 ],
548 "metadata": {
549 "kernelspec": {
550 "display_name": "Ruby 2.4.0",
551 "language": "ruby",
552 "name": "ruby"
553 },
554 "language_info": {
555 "file_extension": ".rb",
556 "mimetype": "application/x-ruby",
557 "name": "ruby",
558 "version": "2.4.0"
559 }
560 },
561 "nbformat": 4,
562 "nbformat_minor": 0
563 }