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       "<div class=\"cython\"><pre class=\"cython line score-16\" onclick=\"(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)\">+<span class=\"\">001</span>: <span class=\"k\">import</span> <span class=\"nn\">numpy</span> <span class=\"k\">as</span> <span class=\"nn\">np</span></pre>\n",
       "<pre class='cython code score-16 '>  __pyx_t_1 = <span class='pyx_c_api'>__Pyx_Import</span>(__pyx_n_s_numpy, 0, 0);<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error)</span>\n",
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       "</pre><pre class=\"cython line score-0\">&#xA0;<span class=\"\">002</span>: <span class=\"k\">cimport</span> <span class=\"nn\">numpy</span> <span class=\"k\">as</span> <span class=\"nn\">np</span></pre>\n",
       "<pre class=\"cython line score-0\">&#xA0;<span class=\"\">003</span>: </pre>\n",
       "<pre class=\"cython line score-35\" onclick=\"(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)\">+<span class=\"\">004</span>: <span class=\"n\">up</span> <span class=\"o\">=</span> <span class=\"p\">((</span><span class=\"mf\">0</span><span class=\"p\">,</span> <span class=\"mf\">2</span><span class=\"p\">,</span> <span class=\"mf\">7</span><span class=\"p\">,</span> <span class=\"mf\">5</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">1</span><span class=\"p\">,</span> <span class=\"mf\">4</span><span class=\"p\">,</span> <span class=\"mf\">6</span><span class=\"p\">,</span> <span class=\"mf\">3</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">8</span><span class=\"p\">,</span> <span class=\"mf\">47</span><span class=\"p\">,</span> <span class=\"mf\">14</span><span class=\"p\">,</span> <span class=\"mf\">11</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">9</span><span class=\"p\">,</span> <span class=\"mf\">46</span><span class=\"p\">,</span> <span class=\"mf\">15</span><span class=\"p\">,</span> <span class=\"mf\">12</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">10</span><span class=\"p\">,</span> <span class=\"mf\">45</span><span class=\"p\">,</span> <span class=\"mf\">16</span><span class=\"p\">,</span> <span class=\"mf\">13</span><span class=\"p\">))</span></pre>\n",
       "<pre class='cython code score-35 '>  __pyx_tuple__81 = <span class='py_c_api'>PyTuple_Pack</span>(4, __pyx_int_0, __pyx_int_2, __pyx_int_7, __pyx_int_5);<span class='error_goto'> if (unlikely(!__pyx_tuple__81)) __PYX_ERR(0, 4, __pyx_L1_error)</span>\n",
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       "<pre class='cython code score-35 '>  __pyx_tuple__87 = <span class='py_c_api'>PyTuple_Pack</span>(4, __pyx_int_8, __pyx_int_10, __pyx_int_25, __pyx_int_23);<span class='error_goto'> if (unlikely(!__pyx_tuple__87)) __PYX_ERR(0, 5, __pyx_L1_error)</span>\n",
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       "<pre class='cython code score-35 '>  __pyx_tuple__93 = <span class='py_c_api'>PyTuple_Pack</span>(4, __pyx_int_11, __pyx_int_13, __pyx_int_28, __pyx_int_26);<span class='error_goto'> if (unlikely(!__pyx_tuple__93)) __PYX_ERR(0, 6, __pyx_L1_error)</span>\n",
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       "/* … */\n",
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       "</pre><pre class=\"cython line score-35\" onclick=\"(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)\">+<span class=\"\">007</span>: <span class=\"n\">right</span> <span class=\"o\">=</span> <span class=\"p\">((</span><span class=\"mf\">14</span><span class=\"p\">,</span> <span class=\"mf\">16</span><span class=\"p\">,</span> <span class=\"mf\">31</span><span class=\"p\">,</span> <span class=\"mf\">29</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">15</span><span class=\"p\">,</span> <span class=\"mf\">22</span><span class=\"p\">,</span> <span class=\"mf\">30</span><span class=\"p\">,</span> <span class=\"mf\">21</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">2</span><span class=\"p\">,</span> <span class=\"mf\">42</span><span class=\"p\">,</span> <span class=\"mf\">34</span><span class=\"p\">,</span> <span class=\"mf\">13</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">4</span><span class=\"p\">,</span> <span class=\"mf\">44</span><span class=\"p\">,</span> <span class=\"mf\">36</span><span class=\"p\">,</span> <span class=\"mf\">20</span><span class=\"p\">),</span> <span class=\"p\">(</span><span class=\"mf\">7</span><span class=\"p\">,</span> <span class=\"mf\">47</span><span class=\"p\">,</span> <span class=\"mf\">39</span><span class=\"p\">,</span> <span class=\"mf\">28</span><span class=\"p\">))</span></pre>\n",
       "<pre class='cython code score-35 '>  __pyx_tuple__99 = <span class='py_c_api'>PyTuple_Pack</span>(4, __pyx_int_14, __pyx_int_16, __pyx_int_31, __pyx_int_29);<span class='error_goto'> if (unlikely(!__pyx_tuple__99)) __PYX_ERR(0, 7, __pyx_L1_error)</span>\n",
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       "static PyObject *__pyx_pw_46_cython_magic_98d7a2957541217cca2f45dc92900c99_6CCubik_7repr(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {\n",
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       "static PyMethodDef __pyx_mdef_46_cython_magic_98d7a2957541217cca2f45dc92900c99_6CCubik_17valid_moves = {\"valid_moves\", (PyCFunction)__pyx_pw_46_cython_magic_98d7a2957541217cca2f45dc92900c99_6CCubik_17valid_moves, METH_VARARGS|METH_KEYWORDS, 0};\n",
       "static PyObject *__pyx_pw_46_cython_magic_98d7a2957541217cca2f45dc92900c99_6CCubik_17valid_moves(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {\n",
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       "<pre class='cython code score-2 '>        __pyx_t_9 = <span class='pyx_c_api'>__Pyx_PyList_Append</span>(__pyx_v_expand_moves, __pyx_v_move);<span class='error_goto'> if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 141, __pyx_L1_error)</span>\n",
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    "%%cython -a\n",
    "import numpy as np\n",
    "cimport numpy as np\n",
    "\n",
    "up = ((0, 2, 7, 5), (1, 4, 6, 3), (8, 47, 14, 11), (9, 46, 15, 12), (10, 45, 16, 13))\n",
    "left = ((8, 10, 25, 23), (9, 18, 24, 17), (0, 11, 32, 40), (3, 19, 35, 43), (5, 26, 37, 45))\n",
    "front = ((11, 13, 28, 26), (12, 20, 27, 19), (5, 14, 34, 25), (6, 21, 33, 18), (7, 29, 32, 10))\n",
    "right = ((14, 16, 31, 29), (15, 22, 30, 21), (2, 42, 34, 13), (4, 44, 36, 20), (7, 47, 39, 28))\n",
    "down = ((32, 34, 39, 37), (33, 36, 38, 35), (23, 26, 29, 42), (24, 27, 30, 41), (25, 29, 31, 40))\n",
    "bottom = ((40, 42, 47, 45), (41, 44, 46, 43), (0, 23, 39, 16), (1, 17, 38, 22), (8, 37, 31, 2))\n",
    "\n",
    "rup = tuple(tuple(reversed(c)) for c in reversed(up))\n",
    "rleft = tuple(tuple(reversed(c)) for c in reversed(left))\n",
    "rfront = tuple(tuple(reversed(c)) for c in reversed(front))\n",
    "rright = tuple(tuple(reversed(c)) for c in reversed(right))\n",
    "rdown = tuple(tuple(reversed(c)) for c in reversed(down))\n",
    "rbottom = tuple(tuple(reversed(c)) for c in reversed(bottom))\n",
    "cdef class CCubik:\n",
    "\n",
    "\n",
    "\n",
    "    move_map = {'U': up, 'L': left, 'F': front, 'R': right, 'D': down, 'B': bottom,\n",
    "                \"U'\": rup,\n",
    "                \"L'\": rleft,\n",
    "                \"F'\": rfront,\n",
    "                \"R'\": rright,\n",
    "                \"D'\": rdown,\n",
    "                \"B'\": rbottom,\n",
    "                \"U2\": up + up, \"L2\": left + left, \"F2\": front + front,\n",
    "                \"R2\": right + right, \"D2\": down + down, \"B2\": bottom + bottom}\n",
    "\n",
    "    def __init__(self):\n",
    "        self.v = np.arange(1, 49)\n",
    "        self.came_from = []\n",
    "        self.hash = hash(self.v.tostring())\n",
    "\n",
    "    def _rehash(self):\n",
    "        self.hash = hash(self.v.tostring())\n",
    "    \n",
    "    def __repr__(self):\n",
    "        return str(self.v)\n",
    "    \n",
    "    def repr(self, color=False):\n",
    "        u = self.v[[0, 1, 2, 3, 4, 5, 6, 7]]\n",
    "        u1 = ' '.join(str(_).center(2) for _ in u[:3])\n",
    "        u2 = ' '.join([str(u[3]).center(2), 'U'.center(2), str(u[4]).center(2)])\n",
    "        u3 = ' '.join(str(_).center(2) for _ in u[-3:])\n",
    "        \n",
    "        u_v = [u1, u2, u3]\n",
    "        \n",
    "        l = self.v[[8, 9, 10, 17, 18, 23, 24, 25]]\n",
    "        l1 = ' '.join(str(_).center(2) for _ in l[:3])\n",
    "        l2 = ' '.join([str(l[3]).center(2), 'L'.center(2), str(l[4]).center(2)])\n",
    "        l3 = ' '.join(str(_).center(2) for _ in l[-3:])\n",
    "        \n",
    "        l_v = [l1, l2, l3]\n",
    "\n",
    "        \n",
    "        f = self.v[[11, 12, 13, 19, 20, 26, 27, 28]]\n",
    "        f1 = ' '.join(str(_).center(2) for _ in f[:3])\n",
    "        f2 = ' '.join([str(f[3]).center(2), 'F'.center(2), str(f[4]).center(2)])\n",
    "        f3 = ' '.join(str(_).center(2) for _ in f[-3:])\n",
    "        \n",
    "        f_v = [f1, f2, f3]\n",
    "\n",
    "        r = self.v[[14, 15, 16, 21, 22, 29, 30, 31]]\n",
    "        r1 = ' '.join(str(_).center(2) for _ in r[:3])\n",
    "        r2 = ' '.join([str(r[3]).center(2), 'R'.center(2), str(r[4]).center(2)])\n",
    "        r3 = ' '.join(str(_).center(2) for _ in r[-3:])\n",
    "        \n",
    "        r_v = [r1, r2, r3]\n",
    "\n",
    "        b = self.v[[40, 41, 42, 43, 44, 45, 46, 47]]\n",
    "        b1 = ' '.join(str(_).center(2) for _ in b[:3])\n",
    "        b2 = ' '.join([str(b[3]).center(2), 'B'.center(2), str(b[4]).center(2)])\n",
    "        b3 = ' '.join(str(_).center(2) for _ in b[-3:])\n",
    "        \n",
    "        b_v = [b1, b2, b3]\n",
    "\n",
    "        \n",
    "        d = self.v[[32, 33, 34, 35, 36, 37, 38, 39]]\n",
    "        d1 = ' '.join(str(_).center(2) for _ in d[:3])\n",
    "        d2 = ' '.join([str(d[3]).center(2), 'D'.center(2), str(d[4]).center(2)])\n",
    "        d3 = ' '.join(str(_).center(2) for _ in d[-3:])\n",
    "        \n",
    "        d_v = [d1, d2, d3]\n",
    "\n",
    "        left_pad = f'{(len(l_v[0])) * \" \"}|'\n",
    "        right_pad = f'|{(len(r_v[0]) + len(r_v[0])) * \" \"}'\n",
    "\n",
    "        r1 = left_pad + u_v[0] + right_pad\n",
    "        r2 = left_pad + u_v[1] + right_pad\n",
    "        r3 = left_pad + u_v[2] + right_pad\n",
    "        \n",
    "        r4 = '|'.join([l_v[0], f_v[0], r_v[0], b_v[0]])\n",
    "        r5 = '|'.join([l_v[1], f_v[1], r_v[1], b_v[1]])\n",
    "        r6 = '|'.join([l_v[2], f_v[2], r_v[2], b_v[2]])\n",
    "        \n",
    "        r7 = left_pad + d_v[0] + right_pad\n",
    "        r8 = left_pad + d_v[1] + right_pad\n",
    "        r9 = left_pad + d_v[2] + right_pad\n",
    "        \n",
    "        combined = '\\n'.join((r1, r2, r3, r4, r5, r6, r7, r8, r9))\n",
    "        return combined\n",
    "    \n",
    "    def copy(self):\n",
    "        c = CCubik()\n",
    "        c.v = np.copy(self.v)\n",
    "        c.came_from = self.came_from[:]\n",
    "        return c\n",
    "    \n",
    "    cpdef permute(self, int[:] seq):\n",
    "        cdef int i = 0;\n",
    "        cdef int last_value = self.v[seq[-1]]\n",
    "        for i in range(len(seq) - 1, 0, -1):\n",
    "            self.v[seq[i]] = self.v[seq[i - 1]]\n",
    "        self.v[seq[0]] = last_value\n",
    "    \n",
    "    def apply_permutations(self, permutations):\n",
    "        for permutation in permutations:\n",
    "            self.permute(permutation)\n",
    "\n",
    "    def apply_moves(self, moves):\n",
    "        for move in moves:\n",
    "            self.apply_permutations(self.move_map[move])\n",
    "        self._rehash()\n",
    "\n",
    "    @staticmethod\n",
    "    def valid_moves(moves):\n",
    "        return all(c in \"RDFLUB2' \" for c in list(moves))\n",
    "    \n",
    "    @classmethod\n",
    "    def parse_moves(cls, moves):\n",
    "        \"\"\" Convert string of moves into list of (move, reverse) \"\"\"\n",
    "#         if not cls.valid_moves(moves):\n",
    "#             raise ValueError(f\"Invalid moves string:\", moves)\n",
    "        moves = [c for c in moves.split(\" \") if c]\n",
    "        expand_moves = []\n",
    "        for move in moves:\n",
    "            if len(move) == 1:\n",
    "                if move in cls.move_map:\n",
    "                    expand_moves.append(move)\n",
    "            elif len(move) == 2:\n",
    "                letter, modifier = move\n",
    "                if letter not in cls.move_map:\n",
    "                    raise ValueError(\"Invalid move:\", move)\n",
    "                if modifier == '2':\n",
    "                    expand_moves.append(letter)\n",
    "                    expand_moves.append(letter)\n",
    "                elif modifier == \"'\":\n",
    "                    expand_moves.append(move)\n",
    "                else:\n",
    "                    raise ValueError(\"Invalid move (modifier):\", move)\n",
    "            else:\n",
    "                raise ValueError(\"Invalid move:\", move)\n",
    "        return expand_moves\n",
    "\n",
    "    def is_solved(self):\n",
    "        return np.all(self.v == np.arange(1, 49))\n",
    "\n",
    "    def __eq__(self, o):\n",
    "        return self.hash == o.hash\n",
    "    \n",
    "    def __hash__(self):\n",
    "        return int(self.hash)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "c = CCubik()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c.is_solved()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "c.apply_permutations(front)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        |1  2  3 |                \n",
      "        |4  U  5 |                \n",
      "        |26 19 11|                \n",
      "9  10 33|27 20 12|6  16 17|41 42 43\n",
      "18 L  34|28 F  13|7  R  23|44 B  45\n",
      "24 25 35|29 21 14|8  31 32|46 47 48\n",
      "        |30 22 15|                \n",
      "        |36 D  37|                \n",
      "        |38 39 40|                \n"
     ]
    }
   ],
   "source": [
    "print(c.repr())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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