Done puzzle 33
[project-euler.git] / euler33.ipynb
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13 "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]"
14 ]
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21 "source": [
22 "digits = (0..9).to_a\n",
23 "digits"
24 ]
25 },
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27 "cell_type": "code",
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36 "[[1, 1], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [1, 7], [1, 8], [1, 9], [2, 1], [2, 2], [2, 3], [2, 4], [2, 5], [2, 6], [2, 7], [2, 8], [2, 9], [3, 1], [3, 2], [3, 3], [3, 4], [3, 5], [3, 6], [3, 7], [3, 8], [3, 9], [4, 1], [4, 2], [4, 3], [4, 4], [4, 5], [4, 6], [4, 7], [4, 8], [4, 9], [5, 1], [5, 2], [5, 3], [5, 4], [5, 5], [5, 6], [5, 7], [5, 8], [5, 9], [6, 1], [6, 2], [6, 3], [6, 4], [6, 5], [6, 6], [6, 7], [6, 8], [6, 9], [7, 1], [7, 2], [7, 3], [7, 4], [7, 5], [7, 6], [7, 7], [7, 8], [7, 9], [8, 1], [8, 2], [8, 3], [8, 4], [8, 5], [8, 6], [8, 7], [8, 8], [8, 9], [9, 1], [9, 2], [9, 3], [9, 4], [9, 5], [9, 6], [9, 7], [9, 8], [9, 9]]"
37 ]
38 },
39 "execution_count": 13,
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43 ],
44 "source": [
45 "pairs = digits.repeated_permutation(2).select {|ds| !ds.include?(0)}.to_a\n",
46 "pairs"
47 ]
48 },
49 {
50 "cell_type": "code",
51 "execution_count": 46,
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56 {
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59 ":to_r"
60 ]
61 },
62 "execution_count": 46,
63 "metadata": {},
64 "output_type": "execute_result"
65 }
66 ],
67 "source": [
68 "class Array\n",
69 " def to_i\n",
70 " self.map {|d| d.to_s}.join.to_i\n",
71 " end\n",
72 " \n",
73 " def to_r\n",
74 " Rational(self[0].to_i, self[1].to_i)\n",
75 " end\n",
76 "end"
77 ]
78 },
79 {
80 "cell_type": "code",
81 "execution_count": 10,
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84 },
85 "outputs": [
86 {
87 "data": {
88 "text/plain": [
89 ":to_digits"
90 ]
91 },
92 "execution_count": 10,
93 "metadata": {},
94 "output_type": "execute_result"
95 }
96 ],
97 "source": [
98 "class Numeric\n",
99 " def to_digits\n",
100 " self.to_s.split('').map {|d| d.to_i}\n",
101 " end\n",
102 "end "
103 ]
104 },
105 {
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107 "execution_count": 7,
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110 },
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112 {
113 "data": {
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115 "[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99]"
116 ]
117 },
118 "execution_count": 7,
119 "metadata": {},
120 "output_type": "execute_result"
121 }
122 ],
123 "source": [
124 "digits.repeated_permutation(2).select {|ds| ds[0] != 0}.map {|ds| ds.to_i}.to_a"
125 ]
126 },
127 {
128 "cell_type": "code",
129 "execution_count": 11,
130 "metadata": {
131 "collapsed": false
132 },
133 "outputs": [
134 {
135 "data": {
136 "text/plain": [
137 "[2, 5]"
138 ]
139 },
140 "execution_count": 11,
141 "metadata": {},
142 "output_type": "execute_result"
143 }
144 ],
145 "source": [
146 "25.to_digits"
147 ]
148 },
149 {
150 "cell_type": "code",
151 "execution_count": 15,
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160 ]
161 },
162 "execution_count": 15,
163 "metadata": {},
164 "output_type": "execute_result"
165 }
166 ],
167 "source": [
168 "pairs.permutation(2).to_a"
169 ]
170 },
171 {
172 "cell_type": "code",
173 "execution_count": 19,
174 "metadata": {
175 "collapsed": false
176 },
177 "outputs": [
178 {
179 "data": {
180 "text/plain": [
181 "3240"
182 ]
183 },
184 "execution_count": 19,
185 "metadata": {},
186 "output_type": "execute_result"
187 }
188 ],
189 "source": [
190 "fractions = pairs.permutation(2).select {|n, d| n.to_i < d.to_i}.to_a\n",
191 "fractions.length"
192 ]
193 },
194 {
195 "cell_type": "code",
196 "execution_count": 20,
197 "metadata": {
198 "collapsed": false
199 },
200 "outputs": [
201 {
202 "data": {
203 "text/plain": [
204 "1188"
205 ]
206 },
207 "execution_count": 20,
208 "metadata": {},
209 "output_type": "execute_result"
210 }
211 ],
212 "source": [
213 "fractions = pairs.permutation(2).select {|n, d| n.to_i < d.to_i}.to_a\n",
214 "fractions = fractions.select {|n, d| n.any? {|nd| d.include?(nd)}}\n",
215 "fractions.length"
216 ]
217 },
218 {
219 "cell_type": "code",
220 "execution_count": 22,
221 "metadata": {
222 "collapsed": false,
223 "scrolled": true
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230 ]
231 },
232 "execution_count": 22,
233 "metadata": {},
234 "output_type": "execute_result"
235 }
236 ],
237 "source": [
238 "fractions = pairs.permutation(2).select {|n, d| n.to_i < d.to_i}.to_a\n",
239 "fractions = fractions.select {|n, d| n.any? {|nd| d.include?(nd)}}\n",
240 "fractions = fractions.map {|n, d| Rational(n.to_i, d.to_i)}\n",
241 "fractions"
242 ]
243 },
244 {
245 "cell_type": "code",
246 "execution_count": 47,
247 "metadata": {
248 "collapsed": false,
249 "scrolled": true
250 },
251 "outputs": [
252 {
253 "data": {
254 "text/plain": [
255 "[(11/12), (11/13), (11/14), (11/15), (11/16), (11/17), (11/18), (11/19), (11/21), (11/31), (11/41), (11/51), (11/61), (11/71), (11/81), (11/91), (12/13), (6/7), (4/5), (3/4), (12/17), (2/3), (12/19), (4/7), (6/11), (12/23), (1/2), (12/25), (6/13), (4/9), (3/7), (12/29), (12/31), (3/8), (12/41), (2/7), (4/17), (3/13), (12/61), (6/31), (12/71), (1/6), (4/27), (6/41), (12/91), (3/23), (13/14), (13/15), (13/16), (13/17), (13/18), (13/19), (13/21), (13/23), (13/31), (13/32), (13/33), (13/34), (13/35), (13/36), (13/37), (13/38), (1/3), (13/41), (13/43), (13/51), (13/53), (13/61), (13/63), (13/71), (13/73), (13/81), (13/83), (1/7), (13/93), (14/15), (7/8), (14/17), (7/9), (14/19), (2/3), (7/12), (14/31), (7/17), (14/41), (1/3), (14/43), (7/22), (14/45), (7/23), (14/47), (7/24), (2/7), (14/51), (7/27), (14/61), (7/32), (14/71), (7/37), (14/81), (1/6), (2/13), (7/47), (15/16), (15/17), (5/6), (15/19), (5/7), (3/5), (15/31), (3/7), (15/41), (1/3), (5/17), (15/52), (15/53), (5/18), (3/11), 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(87/89), (87/97), (87/98), (88/89), (44/49), (89/91), (89/92), (89/93), (89/94), (89/95), (89/96), (89/97), (89/98), (89/99), (91/92), (91/93), (91/94), (91/95), (91/96), (91/97), (13/14), (91/99), (92/93), (46/47), (92/95), (23/24), (92/97), (46/49), (92/99), (93/94), (93/95), (31/32), (93/97), (93/98), (31/33), (94/95), (47/48), (94/97), (47/49), (94/99), (95/96), (95/97), (95/98), (95/99), (96/97), (48/49), (32/33), (97/98), (97/99), (98/99)]"
256 ]
257 },
258 "execution_count": 47,
259 "metadata": {},
260 "output_type": "execute_result"
261 }
262 ],
263 "source": [
264 "fractions = pairs.permutation(2).select {|n, d| n.to_i < d.to_i}.to_a\n",
265 "fractions = fractions.select {|n, d| n.any? {|nd| d.include?(nd)}}\n",
266 "fractions = fractions.map {|f| f.to_r}\n",
267 "fractions"
268 ]
269 },
270 {
271 "cell_type": "code",
272 "execution_count": 25,
273 "metadata": {
274 "collapsed": false
275 },
276 "outputs": [
277 {
278 "data": {
279 "text/plain": [
280 "[]"
281 ]
282 },
283 "execution_count": 25,
284 "metadata": {},
285 "output_type": "execute_result"
286 }
287 ],
288 "source": [
289 "[1, 1] - [1]"
290 ]
291 },
292 {
293 "cell_type": "code",
294 "execution_count": 41,
295 "metadata": {
296 "collapsed": false
297 },
298 "outputs": [
299 {
300 "data": {
301 "text/plain": [
302 "[[2], [2, 3]]"
303 ]
304 },
305 "execution_count": 41,
306 "metadata": {},
307 "output_type": "execute_result"
308 }
309 ],
310 "source": [
311 "li = [2,3]\n",
312 "small = li.dup\n",
313 "small.delete_at(small.index(3) || small.length)\n",
314 "[small, li]"
315 ]
316 },
317 {
318 "cell_type": "code",
319 "execution_count": 38,
320 "metadata": {
321 "collapsed": false
322 },
323 "outputs": [
324 {
325 "data": {
326 "text/plain": [
327 "[[1], [1, 1]]"
328 ]
329 },
330 "execution_count": 38,
331 "metadata": {},
332 "output_type": "execute_result"
333 }
334 ],
335 "source": [
336 "li = [1, 1]\n",
337 "small = li.dup\n",
338 "small.delete_at(small.index(1) || small.length)\n",
339 "[small, li]"
340 ]
341 },
342 {
343 "cell_type": "code",
344 "execution_count": 51,
345 "metadata": {
346 "collapsed": false
347 },
348 "outputs": [
349 {
350 "data": {
351 "text/plain": [
352 ":remove_common"
353 ]
354 },
355 "execution_count": 51,
356 "metadata": {},
357 "output_type": "execute_result"
358 }
359 ],
360 "source": [
361 "def remove_common(f)\n",
362 " n, d = f\n",
363 " pairs = []\n",
364 " n.each do |digit|\n",
365 " if d.include?(digit)\n",
366 " n2 = n.dup\n",
367 " n2.delete_at(n2.index(digit) || n2.length)\n",
368 " d2 = d.dup\n",
369 " d2.delete_at(d2.index(digit) || d2.length)\n",
370 " pairs << [n2, d2]\n",
371 " end\n",
372 " end\n",
373 " pairs\n",
374 "end"
375 ]
376 },
377 {
378 "cell_type": "code",
379 "execution_count": 53,
380 "metadata": {
381 "collapsed": false
382 },
383 "outputs": [
384 {
385 "data": {
386 "text/plain": [
387 "[[[2], [3]], [[2], [3]]]"
388 ]
389 },
390 "execution_count": 53,
391 "metadata": {},
392 "output_type": "execute_result"
393 }
394 ],
395 "source": [
396 "remove_common([[2, 2], [2, 3]])"
397 ]
398 },
399 {
400 "cell_type": "code",
401 "execution_count": 54,
402 "metadata": {
403 "collapsed": false
404 },
405 "outputs": [
406 {
407 "data": {
408 "text/plain": [
409 "[(2/3), (2/3)]"
410 ]
411 },
412 "execution_count": 54,
413 "metadata": {},
414 "output_type": "execute_result"
415 }
416 ],
417 "source": [
418 "remove_common([[2, 2], [2, 3]]).map {|f| f.to_r}"
419 ]
420 },
421 {
422 "cell_type": "code",
423 "execution_count": 55,
424 "metadata": {
425 "collapsed": false
426 },
427 "outputs": [
428 {
429 "data": {
430 "text/plain": [
431 ":curious"
432 ]
433 },
434 "execution_count": 55,
435 "metadata": {},
436 "output_type": "execute_result"
437 }
438 ],
439 "source": [
440 "def curious(f)\n",
441 " full = f.to_r\n",
442 " remove_common(f).any? {|f2| f2.to_r == full}\n",
443 "end"
444 ]
445 },
446 {
447 "cell_type": "code",
448 "execution_count": 58,
449 "metadata": {
450 "collapsed": false
451 },
452 "outputs": [
453 {
454 "data": {
455 "text/plain": [
456 "[[[1, 6], [6, 4]], [[1, 9], [9, 5]], [[2, 6], [6, 5]], [[4, 9], [9, 8]]]"
457 ]
458 },
459 "execution_count": 58,
460 "metadata": {},
461 "output_type": "execute_result"
462 }
463 ],
464 "source": [
465 "fractions = pairs.permutation(2).select {|n, d| n.to_i < d.to_i}.to_a\n",
466 "fractions = fractions.select {|n, d| n.any? {|nd| d.include?(nd)}}\n",
467 "curious_fractions = fractions.select {|f| curious f}\n",
468 "curious_fractions"
469 ]
470 },
471 {
472 "cell_type": "code",
473 "execution_count": 68,
474 "metadata": {
475 "collapsed": false
476 },
477 "outputs": [
478 {
479 "data": {
480 "text/plain": [
481 "(1/100)"
482 ]
483 },
484 "execution_count": 68,
485 "metadata": {},
486 "output_type": "execute_result"
487 }
488 ],
489 "source": [
490 "fractions = pairs.permutation(2).select {|n, d| n.to_i < d.to_i}.to_a\n",
491 "fractions = fractions.select {|n, d| n.any? {|nd| d.include?(nd)}}\n",
492 "curious_fractions = fractions.select {|f| curious f}.map {|f| f.to_r}\n",
493 "curious_fractions.reduce(:*)"
494 ]
495 },
496 {
497 "cell_type": "code",
498 "execution_count": null,
499 "metadata": {
500 "collapsed": true
501 },
502 "outputs": [],
503 "source": []
504 }
505 ],
506 "metadata": {
507 "kernelspec": {
508 "display_name": "Ruby 2.4.0",
509 "language": "ruby",
510 "name": "ruby"
511 },
512 "language_info": {
513 "file_extension": ".rb",
514 "mimetype": "application/x-ruby",
515 "name": "ruby",
516 "version": "2.4.0"
517 }
518 },
519 "nbformat": 4,
520 "nbformat_minor": 0
521 }