Finished 35. Had epiphany when lying in bed. Misinterpeted circular to mean permutations.

ipython/EulerProblem035.ipynb

@@ -22,19 +22,11 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 1,
    "metadata": {
     "collapsed": false
    },
-   "outputs": [
+   "outputs": [],
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "78498\n"
-     ]
-    }
-   ],
    "source": [
     "def get_primes_smaller(number):\n",
     "    primes = []\n",
@@ -52,7 +44,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 2,
    "metadata": {
     "collapsed": false
    },
@@ -75,7 +67,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 3,
    "metadata": {
     "collapsed": false
    },
@@ -98,18 +90,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 4,
-   "metadata": {
-    "collapsed": true
-   },
-   "outputs": [],
-   "source": [
-    "s = [p for p in ps if is_circular(p)]"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 28,
    "metadata": {
     "collapsed": false
    },
@@ -118,34 +99,71 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991]\n"
+      "False solution 22\n"
      ]
     }
    ],
    "source": [
-    "print(s)"
+    "s = len([p for p in ps if is_circular(p)])\n",
+    "print(\"False solution {}\".format(s))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "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."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 5,
    "metadata": {
     "collapsed": false
    },
    "outputs": [],
-   "source": []
+   "source": [
+    "def cyles(xs):\n",
+    "    if len(xs) <= 1:\n",
+    "        return xs\n",
+    "    return [xs[i:] + xs[:i]  for i in range(len(xs))]\n",
+    "\n",
+    "prime_set = set(ps)\n",
+    "\n",
+    "def is_circular(p):\n",
+    "    cs = cyles(str(p))\n",
+    "    for c in cs:\n",
+    "        if not int(\"\".join(c)) in prime_set:\n",
+    "            return False\n",
+    "    return True"
+   ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 6,
    "metadata": {
-    "collapsed": true
+    "collapsed": false
    },
-   "outputs": [],
+   "outputs": [
-   "source": []
+    {
+     "data": {
+      "text/plain": [
+       "55"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "s = len([p for p in ps if is_circular(p)])\n",
+    "s"
+   ]
   }
  ],
  "metadata": {
+  "completion_date": "Tue, 13 Feb 2018, 09:14",
   "kernelspec": {
    "display_name": "Python 3",
    "language": "python",
@@ -162,7 +180,11 @@
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
    "version": "3.5.4"
-  }
+  },
+  "tags": [
+   "circular",
+   "combinations"
+  ]
  },
  "nbformat": 4,
  "nbformat_minor": 0

ipython/index.html

@@ -520,6 +520,19 @@
                   </td>
                 </tr>
                 
+                <tr>
+                  <td>Problem 035</td>
+                  <td>Tue, 13 Feb 2018, 09:14</td>
+                  <td><a href="EulerProblem035.html">Problem 035</a></td>
+                  <td>
+                  
+                    <kbd>circular</kbd>
+                  
+                    <kbd>combinations</kbd>
+                  
+                  </td>
+                </tr>
+                
                 <tr>
                   <td>Problem 067</td>
                   <td>Fri, 5 Sep 2014, 07:36</td>