From ee17e78884bc573b6cbd2ab7e03e0865246559dc Mon Sep 17 00:00:00 2001
From: Martin Zugnoni <martin.zugnoni@gmail.com>
Date: Tue, 18 Dec 2018 17:36:39 -0300
Subject: [PATCH] Add missing import

---
 DEMO.ipynb | 1070 +++++++++++++++++++++++++---------------------------
 1 file changed, 522 insertions(+), 548 deletions(-)

diff --git a/DEMO.ipynb b/DEMO.ipynb
index 9dc2d212..e9d92e46 100644
--- a/DEMO.ipynb
+++ b/DEMO.ipynb
@@ -55,7 +55,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -64,14 +64,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "100%|██████████| 4/4 [00:01<00:00,  3.99it/s]\n"
+      "100%|██████████| 4/4 [00:01<00:00,  3.93it/s]\n"
      ]
     }
    ],
@@ -93,18 +93,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "100%|██████████| 1000000/1000000 [00:00<00:00, 1563919.55it/s]\n"
+      "100%|██████████| 1000000/1000000 [00:00<00:00, 1849858.32it/s]\n"
      ]
     }
    ],
    "source": [
+    "from tqdm import trange\n",
+    "\n",
     "for i in trange(1_000_000):\n",
     "    pass"
    ]
@@ -118,14 +120,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "Processing d: 100%|██████████| 4/4 [00:01<00:00,  3.58it/s]\n"
+      "Processing d: 100%|██████████| 4/4 [00:01<00:00,  3.90it/s]\n"
      ]
     }
    ],
@@ -147,14 +149,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "100%|██████████| 100/100 [00:02<00:00, 39.83it/s]\n"
+      "100%|██████████| 100/100 [00:02<00:00, 39.11it/s]\n"
      ]
     }
    ],
@@ -176,14 +178,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "100%|██████████| 100/100 [00:02<00:00, 39.83it/s]\n"
+      "100%|██████████| 100/100 [00:02<00:00, 39.24it/s]\n"
      ]
     }
    ],
@@ -204,15 +206,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "1.00Mit [00:01, 824kit/s]\n",
-      "999999\n"
+      "1.00Mit [00:00, 1.17Mit/s]\n",
+      "  999999\n"
      ]
     }
    ],
@@ -238,14 +240,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "GEN 99: 100%|██████████| 100/100 [00:10<00:00,  9.64it/s, gen=145, loss=0.679, lst=[1, 2], str=h]\n",
+      "GEN 99: 100%|██████████| 100/100 [00:11<00:00,  8.98it/s, gen=406, loss=0.256, lst=[1, 2], str=h]\n",
       "Batch      4.5\n"
      ]
     }
@@ -284,61 +286,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "\n",
-      "1st loop:   0%|          | 0/3 [00:00<?, ?it/s]\u001b[A\n",
-      "\n",
-      "2nd loop:   0%|          | 0/50 [00:00<?, ?it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  20%|██        | 10/50 [00:00<00:00, 99.31it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  40%|████      | 20/50 [00:00<00:00, 98.71it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  60%|██████    | 30/50 [00:00<00:00, 98.41it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  80%|████████  | 40/50 [00:00<00:00, 98.18it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop: 100%|██████████| 50/50 [00:00<00:00, 98.04it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "                                                         \u001b[A\u001b[A\n",
-      "1st loop:  33%|███▎      | 1/3 [00:00<00:01,  1.94it/s]\u001b[A\n",
-      "\n",
-      "2nd loop:   0%|          | 0/50 [00:00<?, ?it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  20%|██        | 10/50 [00:00<00:00, 99.29it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  40%|████      | 20/50 [00:00<00:00, 98.79it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  60%|██████    | 30/50 [00:00<00:00, 98.46it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  80%|████████  | 40/50 [00:00<00:00, 98.25it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop: 100%|██████████| 50/50 [00:00<00:00, 98.07it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "                                                         \u001b[A\u001b[A\n",
-      "1st loop:  67%|██████▋   | 2/3 [00:01<00:00,  1.94it/s]\u001b[A\n",
-      "\n",
-      "2nd loop:   0%|          | 0/50 [00:00<?, ?it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  20%|██        | 10/50 [00:00<00:00, 99.27it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  40%|████      | 20/50 [00:00<00:00, 98.76it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  60%|██████    | 30/50 [00:00<00:00, 98.42it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop:  80%|████████  | 40/50 [00:00<00:00, 98.21it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "2nd loop: 100%|██████████| 50/50 [00:00<00:00, 98.04it/s]\u001b[A\u001b[A\n",
-      "\n",
-      "                                                         \u001b[A\u001b[A\n",
-      "1st loop: 100%|██████████| 3/3 [00:01<00:00,  1.94it/s]\u001b[A\n",
-      "\u001b[A"
+      "1st loop:   0%|          | 0/3 [00:00<?, ?it/s]\n",
+      "2nd loop:   0%|          | 0/50 [00:00<?, ?it/s]\u001b[A\n",
+      "2nd loop:  18%|█▊        | 9/50 [00:00<00:00, 89.19it/s]\u001b[A\n",
+      "2nd loop:  36%|███▌      | 18/50 [00:00<00:00, 86.87it/s]\u001b[A\n",
+      "2nd loop:  54%|█████▍    | 27/50 [00:00<00:00, 85.07it/s]\u001b[A\n",
+      "2nd loop:  72%|███████▏  | 36/50 [00:00<00:00, 85.11it/s]\u001b[A\n",
+      "2nd loop:  90%|█████████ | 45/50 [00:00<00:00, 84.92it/s]\u001b[A\n",
+      "1st loop:  33%|███▎      | 1/3 [00:00<00:01,  1.65it/s]\n",
+      "2nd loop:   0%|          | 0/50 [00:00<?, ?it/s]\u001b[A\n",
+      "2nd loop:  18%|█▊        | 9/50 [00:00<00:00, 84.66it/s]\u001b[A\n",
+      "2nd loop:  36%|███▌      | 18/50 [00:00<00:00, 85.22it/s]\u001b[A\n",
+      "2nd loop:  54%|█████▍    | 27/50 [00:00<00:00, 85.05it/s]\u001b[A\n",
+      "2nd loop:  72%|███████▏  | 36/50 [00:00<00:00, 85.11it/s]\u001b[A\n",
+      "2nd loop:  88%|████████▊ | 44/50 [00:00<00:00, 83.41it/s]\u001b[A\n",
+      "1st loop:  67%|██████▋   | 2/3 [00:01<00:00,  1.66it/s]\n",
+      "2nd loop:   0%|          | 0/50 [00:00<?, ?it/s]\u001b[A\n",
+      "2nd loop:  18%|█▊        | 9/50 [00:00<00:00, 87.80it/s]\u001b[A\n",
+      "2nd loop:  36%|███▌      | 18/50 [00:00<00:00, 87.46it/s]\u001b[A\n",
+      "2nd loop:  54%|█████▍    | 27/50 [00:00<00:00, 86.41it/s]\u001b[A\n",
+      "2nd loop:  72%|███████▏  | 36/50 [00:00<00:00, 86.93it/s]\u001b[A\n",
+      "2nd loop:  90%|█████████ | 45/50 [00:00<00:00, 86.37it/s]\u001b[A\n",
+      "1st loop: 100%|██████████| 3/3 [00:01<00:00,  1.67it/s]\n"
      ]
     }
    ],
@@ -362,16 +338,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 52,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "\n",
-      "my bar!:   0%|          | 0/6 [00:00<?, ?it/s]\u001b[A\n",
-      "my bar!: 100%|██████████| 6/6 [00:00<00:00, 1190.04it/s]\u001b[A"
+      "my bar!: 100%|██████████| 6/6 [00:00<00:00, 411.54it/s]\n"
      ]
     },
     {
@@ -406,273 +380,273 @@
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
-       "      <td>784</td>\n",
-       "      <td>7569</td>\n",
-       "      <td>36</td>\n",
-       "      <td>8281</td>\n",
-       "      <td>484</td>\n",
-       "      <td>225</td>\n",
+       "      <td>961</td>\n",
+       "      <td>64</td>\n",
+       "      <td>1764</td>\n",
+       "      <td>5776</td>\n",
+       "      <td>400</td>\n",
+       "      <td>6889</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
-       "      <td>169</td>\n",
-       "      <td>6724</td>\n",
-       "      <td>7056</td>\n",
-       "      <td>4489</td>\n",
-       "      <td>1296</td>\n",
-       "      <td>25</td>\n",
+       "      <td>6084</td>\n",
+       "      <td>1444</td>\n",
+       "      <td>625</td>\n",
+       "      <td>529</td>\n",
+       "      <td>4624</td>\n",
+       "      <td>4225</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
-       "      <td>4356</td>\n",
-       "      <td>529</td>\n",
-       "      <td>121</td>\n",
-       "      <td>1225</td>\n",
-       "      <td>529</td>\n",
-       "      <td>121</td>\n",
+       "      <td>5625</td>\n",
+       "      <td>9216</td>\n",
+       "      <td>6084</td>\n",
+       "      <td>961</td>\n",
+       "      <td>8100</td>\n",
+       "      <td>5476</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
-       "      <td>1600</td>\n",
-       "      <td>64</td>\n",
-       "      <td>4761</td>\n",
-       "      <td>2704</td>\n",
-       "      <td>8464</td>\n",
-       "      <td>225</td>\n",
+       "      <td>7744</td>\n",
+       "      <td>2304</td>\n",
+       "      <td>6561</td>\n",
+       "      <td>7396</td>\n",
+       "      <td>400</td>\n",
+       "      <td>8100</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
-       "      <td>361</td>\n",
-       "      <td>1369</td>\n",
-       "      <td>169</td>\n",
-       "      <td>576</td>\n",
-       "      <td>3481</td>\n",
-       "      <td>2500</td>\n",
+       "      <td>2025</td>\n",
+       "      <td>3969</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1156</td>\n",
+       "      <td>1681</td>\n",
+       "      <td>196</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>5</th>\n",
-       "      <td>1024</td>\n",
-       "      <td>5776</td>\n",
-       "      <td>8836</td>\n",
-       "      <td>8649</td>\n",
-       "      <td>7056</td>\n",
-       "      <td>400</td>\n",
+       "      <td>3136</td>\n",
+       "      <td>1764</td>\n",
+       "      <td>16</td>\n",
+       "      <td>49</td>\n",
+       "      <td>9216</td>\n",
+       "      <td>25</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>6</th>\n",
-       "      <td>289</td>\n",
-       "      <td>8649</td>\n",
-       "      <td>1444</td>\n",
-       "      <td>2704</td>\n",
-       "      <td>256</td>\n",
-       "      <td>1024</td>\n",
+       "      <td>6889</td>\n",
+       "      <td>7569</td>\n",
+       "      <td>7225</td>\n",
+       "      <td>5041</td>\n",
+       "      <td>400</td>\n",
+       "      <td>361</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>7</th>\n",
-       "      <td>5184</td>\n",
-       "      <td>961</td>\n",
+       "      <td>64</td>\n",
+       "      <td>144</td>\n",
+       "      <td>6241</td>\n",
        "      <td>1681</td>\n",
-       "      <td>49</td>\n",
-       "      <td>2704</td>\n",
-       "      <td>2601</td>\n",
+       "      <td>6561</td>\n",
+       "      <td>3364</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>8</th>\n",
-       "      <td>3969</td>\n",
-       "      <td>1156</td>\n",
-       "      <td>400</td>\n",
-       "      <td>1681</td>\n",
-       "      <td>2916</td>\n",
-       "      <td>49</td>\n",
+       "      <td>4761</td>\n",
+       "      <td>1764</td>\n",
+       "      <td>9604</td>\n",
+       "      <td>8836</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>2809</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9</th>\n",
-       "      <td>5776</td>\n",
-       "      <td>6241</td>\n",
-       "      <td>3844</td>\n",
-       "      <td>8649</td>\n",
-       "      <td>25</td>\n",
-       "      <td>2809</td>\n",
+       "      <td>2601</td>\n",
+       "      <td>289</td>\n",
+       "      <td>484</td>\n",
+       "      <td>2209</td>\n",
+       "      <td>1024</td>\n",
+       "      <td>1849</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>10</th>\n",
-       "      <td>25</td>\n",
-       "      <td>361</td>\n",
-       "      <td>8281</td>\n",
-       "      <td>4225</td>\n",
-       "      <td>2025</td>\n",
-       "      <td>4489</td>\n",
+       "      <td>36</td>\n",
+       "      <td>16</td>\n",
+       "      <td>36</td>\n",
+       "      <td>3844</td>\n",
+       "      <td>3844</td>\n",
+       "      <td>1521</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>11</th>\n",
-       "      <td>9801</td>\n",
-       "      <td>2809</td>\n",
-       "      <td>256</td>\n",
-       "      <td>8464</td>\n",
-       "      <td>1936</td>\n",
-       "      <td>5041</td>\n",
+       "      <td>8281</td>\n",
+       "      <td>2916</td>\n",
+       "      <td>3721</td>\n",
+       "      <td>4356</td>\n",
+       "      <td>9</td>\n",
+       "      <td>5625</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>12</th>\n",
-       "      <td>9025</td>\n",
-       "      <td>4489</td>\n",
-       "      <td>6084</td>\n",
-       "      <td>3025</td>\n",
-       "      <td>3481</td>\n",
-       "      <td>5041</td>\n",
+       "      <td>841</td>\n",
+       "      <td>169</td>\n",
+       "      <td>6889</td>\n",
+       "      <td>8281</td>\n",
+       "      <td>9</td>\n",
+       "      <td>441</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>13</th>\n",
-       "      <td>2401</td>\n",
-       "      <td>225</td>\n",
-       "      <td>6084</td>\n",
-       "      <td>3136</td>\n",
-       "      <td>5476</td>\n",
-       "      <td>9604</td>\n",
+       "      <td>256</td>\n",
+       "      <td>8100</td>\n",
+       "      <td>529</td>\n",
+       "      <td>4096</td>\n",
+       "      <td>2704</td>\n",
+       "      <td>4761</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>14</th>\n",
-       "      <td>6561</td>\n",
-       "      <td>3481</td>\n",
-       "      <td>3844</td>\n",
-       "      <td>2916</td>\n",
-       "      <td>9409</td>\n",
-       "      <td>400</td>\n",
+       "      <td>5476</td>\n",
+       "      <td>841</td>\n",
+       "      <td>1024</td>\n",
+       "      <td>81</td>\n",
+       "      <td>1849</td>\n",
+       "      <td>441</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>15</th>\n",
-       "      <td>729</td>\n",
-       "      <td>9604</td>\n",
-       "      <td>1</td>\n",
-       "      <td>4</td>\n",
-       "      <td>3364</td>\n",
-       "      <td>3969</td>\n",
+       "      <td>9</td>\n",
+       "      <td>9801</td>\n",
+       "      <td>3844</td>\n",
+       "      <td>196</td>\n",
+       "      <td>3600</td>\n",
+       "      <td>144</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>16</th>\n",
-       "      <td>1936</td>\n",
-       "      <td>5184</td>\n",
-       "      <td>3969</td>\n",
-       "      <td>625</td>\n",
-       "      <td>3969</td>\n",
-       "      <td>8649</td>\n",
+       "      <td>9801</td>\n",
+       "      <td>2809</td>\n",
+       "      <td>7569</td>\n",
+       "      <td>676</td>\n",
+       "      <td>7396</td>\n",
+       "      <td>7056</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>17</th>\n",
-       "      <td>1936</td>\n",
-       "      <td>7056</td>\n",
-       "      <td>2809</td>\n",
-       "      <td>1936</td>\n",
-       "      <td>5184</td>\n",
-       "      <td>7225</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>18</th>\n",
-       "      <td>361</td>\n",
-       "      <td>144</td>\n",
-       "      <td>5476</td>\n",
-       "      <td>1681</td>\n",
-       "      <td>961</td>\n",
-       "      <td>1024</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>19</th>\n",
-       "      <td>8464</td>\n",
-       "      <td>1681</td>\n",
-       "      <td>9409</td>\n",
-       "      <td>6889</td>\n",
-       "      <td>8464</td>\n",
-       "      <td>256</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>20</th>\n",
-       "      <td>3025</td>\n",
-       "      <td>2401</td>\n",
-       "      <td>3844</td>\n",
-       "      <td>1600</td>\n",
-       "      <td>4096</td>\n",
-       "      <td>361</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>21</th>\n",
-       "      <td>0</td>\n",
-       "      <td>8100</td>\n",
-       "      <td>900</td>\n",
-       "      <td>4489</td>\n",
-       "      <td>1369</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>784</td>\n",
        "      <td>3969</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>22</th>\n",
-       "      <td>4489</td>\n",
-       "      <td>900</td>\n",
-       "      <td>2916</td>\n",
-       "      <td>1849</td>\n",
-       "      <td>3481</td>\n",
-       "      <td>9</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>23</th>\n",
-       "      <td>9216</td>\n",
-       "      <td>3600</td>\n",
-       "      <td>3844</td>\n",
-       "      <td>3481</td>\n",
-       "      <td>7569</td>\n",
-       "      <td>5184</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>24</th>\n",
-       "      <td>2401</td>\n",
-       "      <td>1764</td>\n",
-       "      <td>1369</td>\n",
-       "      <td>1156</td>\n",
-       "      <td>256</td>\n",
+       "      <td>4900</td>\n",
+       "      <td>576</td>\n",
        "      <td>3721</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>25</th>\n",
+       "      <th>18</th>\n",
+       "      <td>8100</td>\n",
+       "      <td>9</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>7056</td>\n",
+       "      <td>1521</td>\n",
+       "      <td>9</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>19</th>\n",
+       "      <td>2209</td>\n",
+       "      <td>7056</td>\n",
+       "      <td>1089</td>\n",
        "      <td>7396</td>\n",
-       "      <td>9801</td>\n",
+       "      <td>1681</td>\n",
+       "      <td>4489</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>20</th>\n",
+       "      <td>625</td>\n",
+       "      <td>2500</td>\n",
+       "      <td>4356</td>\n",
+       "      <td>441</td>\n",
+       "      <td>25</td>\n",
        "      <td>4096</td>\n",
-       "      <td>144</td>\n",
-       "      <td>64</td>\n",
-       "      <td>6400</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>21</th>\n",
+       "      <td>25</td>\n",
+       "      <td>16</td>\n",
+       "      <td>1849</td>\n",
+       "      <td>3136</td>\n",
+       "      <td>8836</td>\n",
+       "      <td>5476</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>22</th>\n",
+       "      <td>256</td>\n",
+       "      <td>3721</td>\n",
+       "      <td>3364</td>\n",
+       "      <td>169</td>\n",
+       "      <td>9604</td>\n",
+       "      <td>4489</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>23</th>\n",
+       "      <td>4096</td>\n",
+       "      <td>81</td>\n",
+       "      <td>9604</td>\n",
+       "      <td>625</td>\n",
+       "      <td>529</td>\n",
+       "      <td>4489</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>24</th>\n",
+       "      <td>2116</td>\n",
+       "      <td>4489</td>\n",
+       "      <td>1156</td>\n",
+       "      <td>8649</td>\n",
+       "      <td>5929</td>\n",
+       "      <td>900</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>25</th>\n",
+       "      <td>3721</td>\n",
+       "      <td>1764</td>\n",
+       "      <td>5476</td>\n",
+       "      <td>5625</td>\n",
+       "      <td>3844</td>\n",
+       "      <td>9216</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>26</th>\n",
-       "      <td>1849</td>\n",
-       "      <td>9409</td>\n",
-       "      <td>5476</td>\n",
-       "      <td>256</td>\n",
-       "      <td>6889</td>\n",
-       "      <td>225</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>441</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>324</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>4096</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>27</th>\n",
-       "      <td>5776</td>\n",
-       "      <td>8836</td>\n",
-       "      <td>64</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1089</td>\n",
-       "      <td>225</td>\n",
+       "      <td>400</td>\n",
+       "      <td>7225</td>\n",
+       "      <td>7744</td>\n",
+       "      <td>1681</td>\n",
+       "      <td>361</td>\n",
+       "      <td>441</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>28</th>\n",
-       "      <td>5329</td>\n",
-       "      <td>144</td>\n",
-       "      <td>4489</td>\n",
-       "      <td>0</td>\n",
-       "      <td>9</td>\n",
-       "      <td>9604</td>\n",
+       "      <td>7056</td>\n",
+       "      <td>7225</td>\n",
+       "      <td>400</td>\n",
+       "      <td>5625</td>\n",
+       "      <td>3721</td>\n",
+       "      <td>1369</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>29</th>\n",
+       "      <td>1024</td>\n",
        "      <td>400</td>\n",
-       "      <td>5329</td>\n",
-       "      <td>1681</td>\n",
-       "      <td>1156</td>\n",
-       "      <td>1849</td>\n",
-       "      <td>3600</td>\n",
+       "      <td>900</td>\n",
+       "      <td>289</td>\n",
+       "      <td>4624</td>\n",
+       "      <td>4</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>...</th>\n",
@@ -685,273 +659,273 @@
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9970</th>\n",
-       "      <td>8100</td>\n",
-       "      <td>3721</td>\n",
+       "      <td>289</td>\n",
+       "      <td>3969</td>\n",
+       "      <td>729</td>\n",
        "      <td>81</td>\n",
-       "      <td>2916</td>\n",
-       "      <td>5476</td>\n",
-       "      <td>5776</td>\n",
+       "      <td>529</td>\n",
+       "      <td>5625</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9971</th>\n",
-       "      <td>7225</td>\n",
-       "      <td>2401</td>\n",
-       "      <td>324</td>\n",
-       "      <td>676</td>\n",
-       "      <td>676</td>\n",
-       "      <td>0</td>\n",
+       "      <td>4761</td>\n",
+       "      <td>400</td>\n",
+       "      <td>8836</td>\n",
+       "      <td>9025</td>\n",
+       "      <td>9216</td>\n",
+       "      <td>3481</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9972</th>\n",
-       "      <td>4</td>\n",
-       "      <td>1</td>\n",
-       "      <td>7396</td>\n",
-       "      <td>576</td>\n",
-       "      <td>8649</td>\n",
+       "      <td>289</td>\n",
+       "      <td>2025</td>\n",
+       "      <td>8100</td>\n",
        "      <td>7921</td>\n",
+       "      <td>3844</td>\n",
+       "      <td>1444</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9973</th>\n",
+       "      <td>6241</td>\n",
        "      <td>8464</td>\n",
-       "      <td>3025</td>\n",
-       "      <td>225</td>\n",
-       "      <td>3364</td>\n",
-       "      <td>16</td>\n",
-       "      <td>2809</td>\n",
+       "      <td>49</td>\n",
+       "      <td>5184</td>\n",
+       "      <td>441</td>\n",
+       "      <td>4356</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9974</th>\n",
-       "      <td>7056</td>\n",
-       "      <td>400</td>\n",
-       "      <td>7056</td>\n",
-       "      <td>2304</td>\n",
-       "      <td>9409</td>\n",
-       "      <td>7569</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9975</th>\n",
-       "      <td>1024</td>\n",
-       "      <td>1225</td>\n",
-       "      <td>6084</td>\n",
-       "      <td>9409</td>\n",
-       "      <td>9801</td>\n",
-       "      <td>1369</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9976</th>\n",
-       "      <td>7744</td>\n",
-       "      <td>289</td>\n",
-       "      <td>2601</td>\n",
-       "      <td>9216</td>\n",
-       "      <td>576</td>\n",
-       "      <td>6400</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9977</th>\n",
-       "      <td>1849</td>\n",
-       "      <td>4096</td>\n",
-       "      <td>9801</td>\n",
-       "      <td>3600</td>\n",
-       "      <td>6889</td>\n",
-       "      <td>5041</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9978</th>\n",
-       "      <td>5329</td>\n",
-       "      <td>6561</td>\n",
-       "      <td>1156</td>\n",
-       "      <td>1764</td>\n",
-       "      <td>784</td>\n",
-       "      <td>2601</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9979</th>\n",
-       "      <td>6400</td>\n",
-       "      <td>6084</td>\n",
-       "      <td>9</td>\n",
-       "      <td>4761</td>\n",
-       "      <td>289</td>\n",
-       "      <td>7921</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9980</th>\n",
-       "      <td>1600</td>\n",
-       "      <td>2916</td>\n",
-       "      <td>784</td>\n",
-       "      <td>2401</td>\n",
-       "      <td>3721</td>\n",
-       "      <td>1764</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9981</th>\n",
-       "      <td>6084</td>\n",
-       "      <td>7744</td>\n",
-       "      <td>256</td>\n",
-       "      <td>6400</td>\n",
-       "      <td>900</td>\n",
-       "      <td>169</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9982</th>\n",
-       "      <td>5184</td>\n",
-       "      <td>100</td>\n",
-       "      <td>5776</td>\n",
-       "      <td>289</td>\n",
-       "      <td>1</td>\n",
-       "      <td>5329</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9983</th>\n",
-       "      <td>2704</td>\n",
-       "      <td>3364</td>\n",
-       "      <td>8836</td>\n",
-       "      <td>1681</td>\n",
-       "      <td>4900</td>\n",
-       "      <td>1521</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9984</th>\n",
-       "      <td>81</td>\n",
-       "      <td>1764</td>\n",
-       "      <td>4096</td>\n",
-       "      <td>484</td>\n",
-       "      <td>6889</td>\n",
-       "      <td>2601</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9985</th>\n",
-       "      <td>8464</td>\n",
-       "      <td>7921</td>\n",
-       "      <td>1444</td>\n",
-       "      <td>4761</td>\n",
-       "      <td>3969</td>\n",
-       "      <td>9409</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9986</th>\n",
-       "      <td>9025</td>\n",
-       "      <td>4225</td>\n",
-       "      <td>3249</td>\n",
-       "      <td>900</td>\n",
-       "      <td>2809</td>\n",
-       "      <td>4096</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9987</th>\n",
-       "      <td>2500</td>\n",
-       "      <td>8100</td>\n",
-       "      <td>1936</td>\n",
-       "      <td>289</td>\n",
-       "      <td>6241</td>\n",
-       "      <td>5476</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9988</th>\n",
-       "      <td>5776</td>\n",
-       "      <td>7056</td>\n",
-       "      <td>169</td>\n",
-       "      <td>8281</td>\n",
-       "      <td>6241</td>\n",
+       "      <td>196</td>\n",
        "      <td>2116</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9989</th>\n",
-       "      <td>3844</td>\n",
-       "      <td>8100</td>\n",
-       "      <td>169</td>\n",
-       "      <td>484</td>\n",
-       "      <td>1936</td>\n",
-       "      <td>1936</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9990</th>\n",
-       "      <td>4624</td>\n",
-       "      <td>0</td>\n",
-       "      <td>5625</td>\n",
-       "      <td>1681</td>\n",
-       "      <td>484</td>\n",
+       "      <td>196</td>\n",
+       "      <td>16</td>\n",
+       "      <td>1296</td>\n",
        "      <td>144</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>9991</th>\n",
-       "      <td>81</td>\n",
+       "      <th>9975</th>\n",
+       "      <td>7225</td>\n",
+       "      <td>1444</td>\n",
+       "      <td>2601</td>\n",
+       "      <td>361</td>\n",
+       "      <td>1936</td>\n",
+       "      <td>2025</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9976</th>\n",
+       "      <td>841</td>\n",
+       "      <td>4356</td>\n",
+       "      <td>2116</td>\n",
+       "      <td>9216</td>\n",
+       "      <td>9409</td>\n",
        "      <td>9801</td>\n",
-       "      <td>3481</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9977</th>\n",
        "      <td>5776</td>\n",
+       "      <td>625</td>\n",
+       "      <td>841</td>\n",
+       "      <td>1849</td>\n",
+       "      <td>4624</td>\n",
+       "      <td>4096</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9978</th>\n",
+       "      <td>676</td>\n",
+       "      <td>6889</td>\n",
+       "      <td>16</td>\n",
+       "      <td>8836</td>\n",
+       "      <td>5329</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9979</th>\n",
+       "      <td>361</td>\n",
+       "      <td>7056</td>\n",
+       "      <td>2401</td>\n",
+       "      <td>5329</td>\n",
+       "      <td>7396</td>\n",
+       "      <td>289</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9980</th>\n",
+       "      <td>121</td>\n",
+       "      <td>169</td>\n",
+       "      <td>5184</td>\n",
+       "      <td>1681</td>\n",
+       "      <td>36</td>\n",
+       "      <td>49</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9981</th>\n",
+       "      <td>36</td>\n",
+       "      <td>9801</td>\n",
+       "      <td>841</td>\n",
+       "      <td>9801</td>\n",
+       "      <td>36</td>\n",
        "      <td>576</td>\n",
-       "      <td>196</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9982</th>\n",
+       "      <td>361</td>\n",
+       "      <td>3136</td>\n",
+       "      <td>1600</td>\n",
+       "      <td>8281</td>\n",
+       "      <td>5776</td>\n",
+       "      <td>361</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9983</th>\n",
+       "      <td>324</td>\n",
+       "      <td>7744</td>\n",
+       "      <td>6724</td>\n",
+       "      <td>1089</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>2500</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9984</th>\n",
+       "      <td>289</td>\n",
+       "      <td>6241</td>\n",
+       "      <td>121</td>\n",
+       "      <td>4225</td>\n",
+       "      <td>36</td>\n",
+       "      <td>529</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9985</th>\n",
+       "      <td>4356</td>\n",
+       "      <td>5625</td>\n",
+       "      <td>7569</td>\n",
+       "      <td>6241</td>\n",
+       "      <td>7569</td>\n",
+       "      <td>5776</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9986</th>\n",
+       "      <td>3844</td>\n",
+       "      <td>1764</td>\n",
+       "      <td>3481</td>\n",
+       "      <td>5041</td>\n",
+       "      <td>1089</td>\n",
+       "      <td>4900</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9987</th>\n",
+       "      <td>5776</td>\n",
+       "      <td>2704</td>\n",
+       "      <td>6561</td>\n",
+       "      <td>7744</td>\n",
+       "      <td>100</td>\n",
+       "      <td>1369</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9988</th>\n",
+       "      <td>2601</td>\n",
+       "      <td>441</td>\n",
+       "      <td>7744</td>\n",
+       "      <td>4</td>\n",
+       "      <td>1296</td>\n",
+       "      <td>7921</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9989</th>\n",
+       "      <td>64</td>\n",
+       "      <td>6084</td>\n",
+       "      <td>36</td>\n",
+       "      <td>625</td>\n",
+       "      <td>4624</td>\n",
+       "      <td>9216</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9990</th>\n",
+       "      <td>49</td>\n",
+       "      <td>9025</td>\n",
+       "      <td>9025</td>\n",
+       "      <td>1225</td>\n",
+       "      <td>4</td>\n",
+       "      <td>441</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>9991</th>\n",
+       "      <td>8281</td>\n",
+       "      <td>2916</td>\n",
+       "      <td>121</td>\n",
+       "      <td>576</td>\n",
+       "      <td>7225</td>\n",
+       "      <td>9801</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9992</th>\n",
-       "      <td>625</td>\n",
-       "      <td>1369</td>\n",
-       "      <td>841</td>\n",
-       "      <td>8100</td>\n",
-       "      <td>4900</td>\n",
-       "      <td>3025</td>\n",
+       "      <td>8836</td>\n",
+       "      <td>1600</td>\n",
+       "      <td>8836</td>\n",
+       "      <td>1089</td>\n",
+       "      <td>3844</td>\n",
+       "      <td>529</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9993</th>\n",
-       "      <td>49</td>\n",
-       "      <td>1296</td>\n",
-       "      <td>36</td>\n",
-       "      <td>6241</td>\n",
-       "      <td>4489</td>\n",
-       "      <td>6084</td>\n",
+       "      <td>1444</td>\n",
+       "      <td>2116</td>\n",
+       "      <td>7396</td>\n",
+       "      <td>361</td>\n",
+       "      <td>4624</td>\n",
+       "      <td>2916</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9994</th>\n",
-       "      <td>625</td>\n",
-       "      <td>4</td>\n",
-       "      <td>81</td>\n",
+       "      <td>4900</td>\n",
+       "      <td>121</td>\n",
+       "      <td>676</td>\n",
        "      <td>9216</td>\n",
-       "      <td>6241</td>\n",
-       "      <td>7396</td>\n",
+       "      <td>9604</td>\n",
+       "      <td>3481</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9995</th>\n",
-       "      <td>3249</td>\n",
-       "      <td>7396</td>\n",
-       "      <td>2025</td>\n",
-       "      <td>1849</td>\n",
        "      <td>5041</td>\n",
-       "      <td>8464</td>\n",
+       "      <td>6400</td>\n",
+       "      <td>784</td>\n",
+       "      <td>6400</td>\n",
+       "      <td>400</td>\n",
+       "      <td>1600</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9996</th>\n",
-       "      <td>676</td>\n",
        "      <td>1225</td>\n",
-       "      <td>2916</td>\n",
-       "      <td>1225</td>\n",
-       "      <td>8100</td>\n",
-       "      <td>3249</td>\n",
+       "      <td>4900</td>\n",
+       "      <td>6241</td>\n",
+       "      <td>961</td>\n",
+       "      <td>784</td>\n",
+       "      <td>5184</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9997</th>\n",
-       "      <td>0</td>\n",
-       "      <td>3249</td>\n",
-       "      <td>196</td>\n",
-       "      <td>5929</td>\n",
-       "      <td>625</td>\n",
-       "      <td>1024</td>\n",
+       "      <td>9025</td>\n",
+       "      <td>529</td>\n",
+       "      <td>1</td>\n",
+       "      <td>8281</td>\n",
+       "      <td>121</td>\n",
+       "      <td>900</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9998</th>\n",
-       "      <td>1156</td>\n",
-       "      <td>4761</td>\n",
-       "      <td>9216</td>\n",
-       "      <td>4489</td>\n",
+       "      <td>36</td>\n",
+       "      <td>36</td>\n",
+       "      <td>256</td>\n",
+       "      <td>400</td>\n",
+       "      <td>9801</td>\n",
        "      <td>9409</td>\n",
-       "      <td>7396</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>9999</th>\n",
-       "      <td>7396</td>\n",
-       "      <td>64</td>\n",
-       "      <td>5329</td>\n",
-       "      <td>9</td>\n",
-       "      <td>1444</td>\n",
-       "      <td>7569</td>\n",
+       "      <td>7921</td>\n",
+       "      <td>36</td>\n",
+       "      <td>2500</td>\n",
+       "      <td>36</td>\n",
+       "      <td>841</td>\n",
+       "      <td>2809</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -960,72 +934,72 @@
       ],
       "text/plain": [
        "         0     1     2     3     4     5\n",
-       "0      784  7569    36  8281   484   225\n",
-       "1      169  6724  7056  4489  1296    25\n",
-       "2     4356   529   121  1225   529   121\n",
-       "3     1600    64  4761  2704  8464   225\n",
-       "4      361  1369   169   576  3481  2500\n",
-       "5     1024  5776  8836  8649  7056   400\n",
-       "6      289  8649  1444  2704   256  1024\n",
-       "7     5184   961  1681    49  2704  2601\n",
-       "8     3969  1156   400  1681  2916    49\n",
-       "9     5776  6241  3844  8649    25  2809\n",
-       "10      25   361  8281  4225  2025  4489\n",
-       "11    9801  2809   256  8464  1936  5041\n",
-       "12    9025  4489  6084  3025  3481  5041\n",
-       "13    2401   225  6084  3136  5476  9604\n",
-       "14    6561  3481  3844  2916  9409   400\n",
-       "15     729  9604     1     4  3364  3969\n",
-       "16    1936  5184  3969   625  3969  8649\n",
-       "17    1936  7056  2809  1936  5184  7225\n",
-       "18     361   144  5476  1681   961  1024\n",
-       "19    8464  1681  9409  6889  8464   256\n",
-       "20    3025  2401  3844  1600  4096   361\n",
-       "21       0  8100   900  4489  1369  3969\n",
-       "22    4489   900  2916  1849  3481     9\n",
-       "23    9216  3600  3844  3481  7569  5184\n",
-       "24    2401  1764  1369  1156   256  3721\n",
-       "25    7396  9801  4096   144    64  6400\n",
-       "26    1849  9409  5476   256  6889   225\n",
-       "27    5776  8836    64     0  1089   225\n",
-       "28    5329   144  4489     0     9  9604\n",
-       "29     400  5329  1681  1156  1849  3600\n",
+       "0      961    64  1764  5776   400  6889\n",
+       "1     6084  1444   625   529  4624  4225\n",
+       "2     5625  9216  6084   961  8100  5476\n",
+       "3     7744  2304  6561  7396   400  8100\n",
+       "4     2025  3969     1  1156  1681   196\n",
+       "5     3136  1764    16    49  9216    25\n",
+       "6     6889  7569  7225  5041   400   361\n",
+       "7       64   144  6241  1681  6561  3364\n",
+       "8     4761  1764  9604  8836  1296  2809\n",
+       "9     2601   289   484  2209  1024  1849\n",
+       "10      36    16    36  3844  3844  1521\n",
+       "11    8281  2916  3721  4356     9  5625\n",
+       "12     841   169  6889  8281     9   441\n",
+       "13     256  8100   529  4096  2704  4761\n",
+       "14    5476   841  1024    81  1849   441\n",
+       "15       9  9801  3844   196  3600   144\n",
+       "16    9801  2809  7569   676  7396  7056\n",
+       "17    1296   784  3969  4900   576  3721\n",
+       "18    8100     9  1296  7056  1521     9\n",
+       "19    2209  7056  1089  7396  1681  4489\n",
+       "20     625  2500  4356   441    25  4096\n",
+       "21      25    16  1849  3136  8836  5476\n",
+       "22     256  3721  3364   169  9604  4489\n",
+       "23    4096    81  9604   625   529  4489\n",
+       "24    2116  4489  1156  8649  5929   900\n",
+       "25    3721  1764  5476  5625  3844  9216\n",
+       "26    1296   441  1296   324  1296  4096\n",
+       "27     400  7225  7744  1681   361   441\n",
+       "28    7056  7225   400  5625  3721  1369\n",
+       "29    1024   400   900   289  4624     4\n",
        "...    ...   ...   ...   ...   ...   ...\n",
-       "9970  8100  3721    81  2916  5476  5776\n",
-       "9971  7225  2401   324   676   676     0\n",
-       "9972     4     1  7396   576  8649  7921\n",
-       "9973  8464  3025   225  3364    16  2809\n",
-       "9974  7056   400  7056  2304  9409  7569\n",
-       "9975  1024  1225  6084  9409  9801  1369\n",
-       "9976  7744   289  2601  9216   576  6400\n",
-       "9977  1849  4096  9801  3600  6889  5041\n",
-       "9978  5329  6561  1156  1764   784  2601\n",
-       "9979  6400  6084     9  4761   289  7921\n",
-       "9980  1600  2916   784  2401  3721  1764\n",
-       "9981  6084  7744   256  6400   900   169\n",
-       "9982  5184   100  5776   289     1  5329\n",
-       "9983  2704  3364  8836  1681  4900  1521\n",
-       "9984    81  1764  4096   484  6889  2601\n",
-       "9985  8464  7921  1444  4761  3969  9409\n",
-       "9986  9025  4225  3249   900  2809  4096\n",
-       "9987  2500  8100  1936   289  6241  5476\n",
-       "9988  5776  7056   169  8281  6241  2116\n",
-       "9989  3844  8100   169   484  1936  1936\n",
-       "9990  4624     0  5625  1681   484   144\n",
-       "9991    81  9801  3481  5776   576   196\n",
-       "9992   625  1369   841  8100  4900  3025\n",
-       "9993    49  1296    36  6241  4489  6084\n",
-       "9994   625     4    81  9216  6241  7396\n",
-       "9995  3249  7396  2025  1849  5041  8464\n",
-       "9996   676  1225  2916  1225  8100  3249\n",
-       "9997     0  3249   196  5929   625  1024\n",
-       "9998  1156  4761  9216  4489  9409  7396\n",
-       "9999  7396    64  5329     9  1444  7569\n",
+       "9970   289  3969   729    81   529  5625\n",
+       "9971  4761   400  8836  9025  9216  3481\n",
+       "9972   289  2025  8100  7921  3844  1444\n",
+       "9973  6241  8464    49  5184   441  4356\n",
+       "9974   196  2116   196    16  1296   144\n",
+       "9975  7225  1444  2601   361  1936  2025\n",
+       "9976   841  4356  2116  9216  9409  9801\n",
+       "9977  5776   625   841  1849  4624  4096\n",
+       "9978   676  6889    16  8836  5329     1\n",
+       "9979   361  7056  2401  5329  7396   289\n",
+       "9980   121   169  5184  1681    36    49\n",
+       "9981    36  9801   841  9801    36   576\n",
+       "9982   361  3136  1600  8281  5776   361\n",
+       "9983   324  7744  6724  1089  1296  2500\n",
+       "9984   289  6241   121  4225    36   529\n",
+       "9985  4356  5625  7569  6241  7569  5776\n",
+       "9986  3844  1764  3481  5041  1089  4900\n",
+       "9987  5776  2704  6561  7744   100  1369\n",
+       "9988  2601   441  7744     4  1296  7921\n",
+       "9989    64  6084    36   625  4624  9216\n",
+       "9990    49  9025  9025  1225     4   441\n",
+       "9991  8281  2916   121   576  7225  9801\n",
+       "9992  8836  1600  8836  1089  3844   529\n",
+       "9993  1444  2116  7396   361  4624  2916\n",
+       "9994  4900   121   676  9216  9604  3481\n",
+       "9995  5041  6400   784  6400   400  1600\n",
+       "9996  1225  4900  6241   961   784  5184\n",
+       "9997  9025   529     1  8281   121   900\n",
+       "9998    36    36   256   400  9801  9409\n",
+       "9999  7921    36  2500    36   841  2809\n",
        "\n",
        "[10000 rows x 6 columns]"
       ]
      },
-     "execution_count": 52,
+     "execution_count": 24,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1061,14 +1035,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      " 20%|██        | 2/10 [00:00<00:00,  9.75it/s]"
+      " 20%|██        | 2/10 [00:00<00:00,  9.40it/s]"
      ]
     },
     {
@@ -1082,7 +1056,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      " 50%|█████     | 5/10 [00:00<00:00,  9.82it/s]"
+      " 50%|█████     | 5/10 [00:00<00:00,  9.50it/s]"
      ]
     },
     {
@@ -1096,7 +1070,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      " 80%|████████  | 8/10 [00:00<00:00,  9.83it/s]"
+      " 80%|████████  | 8/10 [00:00<00:00,  9.49it/s]"
      ]
     },
     {
@@ -1110,7 +1084,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "100%|██████████| 10/10 [00:01<00:00,  9.79it/s]"
+      "100%|██████████| 10/10 [00:01<00:00,  9.42it/s]"
      ]
     },
     {