Finished 35. Had epiphany when lying in bed. Misinterpeted circular to mean permutations.
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@ -22,19 +22,11 @@
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},
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"text": [
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"78498\n"
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}
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],
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"outputs": [],
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"source": [
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"def get_primes_smaller(number):\n",
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" primes = []\n",
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"execution_count": 26,
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"metadata": {
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"collapsed": true
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"outputs": [],
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"source": [
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"s = [p for p in ps if is_circular(p)]"
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]
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},
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"cell_type": "code",
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@ -118,34 +99,71 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991]\n"
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"False solution 22\n"
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]
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}
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],
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"source": [
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"print(s)"
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"s = len([p for p in ps if is_circular(p)])\n",
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"print(\"False solution {}\".format(s))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"We did not read the problem properly. Cycles are obviously not the same as permutations. If we change that we should get the solution in no time."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 5,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": []
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"source": [
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"def cyles(xs):\n",
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" if len(xs) <= 1:\n",
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" return xs\n",
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" return [xs[i:] + xs[:i] for i in range(len(xs))]\n",
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"\n",
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"prime_set = set(ps)\n",
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"\n",
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"def is_circular(p):\n",
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" cs = cyles(str(p))\n",
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" for c in cs:\n",
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" if not int(\"\".join(c)) in prime_set:\n",
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" return False\n",
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" return True"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"execution_count": 6,
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"metadata": {
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"collapsed": true
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"collapsed": false
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"outputs": [],
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"source": []
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"outputs": [
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{
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"data": {
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"text/plain": [
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"55"
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]
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},
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"execution_count": 6,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"s = len([p for p in ps if is_circular(p)])\n",
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"s"
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]
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}
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],
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"metadata": {
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"completion_date": "Tue, 13 Feb 2018, 09:14",
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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@ -162,7 +180,11 @@
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.5.4"
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}
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},
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"tags": [
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"circular",
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"combinations"
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]
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},
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"nbformat": 4,
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"nbformat_minor": 0
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@ -520,6 +520,19 @@
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</td>
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</tr>
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<tr>
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<td>Problem 035</td>
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<td>Tue, 13 Feb 2018, 09:14</td>
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<td><a href="EulerProblem035.html">Problem 035</a></td>
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<td>
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<kbd>circular</kbd>
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<kbd>combinations</kbd>
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</td>
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</tr>
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<tr>
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<td>Problem 067</td>
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<td>Fri, 5 Sep 2014, 07:36</td>
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