diff --git a/.ipynb_checkpoints/P1. Baseline-checkpoint.ipynb b/.ipynb_checkpoints/P1. Baseline-checkpoint.ipynb
index edb5059..93a6242 100644
--- a/.ipynb_checkpoints/P1. Baseline-checkpoint.ipynb	
+++ b/.ipynb_checkpoints/P1. Baseline-checkpoint.ipynb	
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -26,7 +26,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -43,7 +43,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
@@ -134,7 +134,7 @@
        "4   560    24       2  879976772        559         23"
       ]
      },
-     "execution_count": 75,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -145,7 +145,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -155,7 +155,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -169,7 +169,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 37,
    "metadata": {
     "scrolled": true
    },
@@ -191,7 +191,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -201,7 +201,7 @@
        "\twith 8 stored elements in Compressed Sparse Row format>"
       ]
      },
-     "execution_count": 79,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -216,7 +216,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [
     {
@@ -259,7 +259,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 81,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [
     {
@@ -285,7 +285,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -309,7 +309,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "557 ns ± 15.6 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each)\n",
+      "586 ns ± 31.8 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each)\n",
       "Inefficient way to access items rated by user:\n"
      ]
     },
@@ -327,7 +327,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "65.2 µs ± 4.5 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
+      "64.4 µs ± 1.75 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
      ]
     }
    ],
@@ -352,7 +352,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
@@ -386,7 +386,7 @@
        "matrix([[ 8,  3, 11]])"
       ]
      },
-     "execution_count": 83,
+     "execution_count": 42,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -400,7 +400,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 84,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
@@ -470,7 +470,7 @@
        "        [-1.66666667,  0.        ,  1.33333333,  0.33333333]])"
       ]
      },
-     "execution_count": 84,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -500,7 +500,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 85,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
@@ -558,7 +558,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 86,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -571,7 +571,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 87,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -611,6 +611,130 @@
     "(pd.DataFrame(estimations)).to_csv('Recommendations generated/ml-100k/Self_TopPop_estimations.csv', index=False, header=False)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 47,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>0</th>\n",
+       "      <th>1</th>\n",
+       "      <th>2</th>\n",
+       "      <th>3</th>\n",
+       "      <th>4</th>\n",
+       "      <th>5</th>\n",
+       "      <th>6</th>\n",
+       "      <th>7</th>\n",
+       "      <th>8</th>\n",
+       "      <th>9</th>\n",
+       "      <th>...</th>\n",
+       "      <th>11</th>\n",
+       "      <th>12</th>\n",
+       "      <th>13</th>\n",
+       "      <th>14</th>\n",
+       "      <th>15</th>\n",
+       "      <th>16</th>\n",
+       "      <th>17</th>\n",
+       "      <th>18</th>\n",
+       "      <th>19</th>\n",
+       "      <th>20</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>50</td>\n",
+       "      <td>5.000000</td>\n",
+       "      <td>286</td>\n",
+       "      <td>4.117021</td>\n",
+       "      <td>288</td>\n",
+       "      <td>4.053191</td>\n",
+       "      <td>294</td>\n",
+       "      <td>3.851064</td>\n",
+       "      <td>300</td>\n",
+       "      <td>...</td>\n",
+       "      <td>174</td>\n",
+       "      <td>3.531915</td>\n",
+       "      <td>98</td>\n",
+       "      <td>3.351064</td>\n",
+       "      <td>313</td>\n",
+       "      <td>3.063830</td>\n",
+       "      <td>405</td>\n",
+       "      <td>2.904255</td>\n",
+       "      <td>79</td>\n",
+       "      <td>2.851064</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2</td>\n",
+       "      <td>181</td>\n",
+       "      <td>4.446809</td>\n",
+       "      <td>1</td>\n",
+       "      <td>3.914894</td>\n",
+       "      <td>121</td>\n",
+       "      <td>3.595745</td>\n",
+       "      <td>127</td>\n",
+       "      <td>3.563830</td>\n",
+       "      <td>174</td>\n",
+       "      <td>...</td>\n",
+       "      <td>7</td>\n",
+       "      <td>3.446809</td>\n",
+       "      <td>98</td>\n",
+       "      <td>3.351064</td>\n",
+       "      <td>56</td>\n",
+       "      <td>3.308511</td>\n",
+       "      <td>237</td>\n",
+       "      <td>3.287234</td>\n",
+       "      <td>117</td>\n",
+       "      <td>3.159574</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>2 rows × 21 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   0    1         2    3         4    5         6    7         8    9   ...  \\\n",
+       "0   1   50  5.000000  286  4.117021  288  4.053191  294  3.851064  300  ...   \n",
+       "1   2  181  4.446809    1  3.914894  121  3.595745  127  3.563830  174  ...   \n",
+       "\n",
+       "    11        12  13        14   15        16   17        18   19        20  \n",
+       "0  174  3.531915  98  3.351064  313  3.063830  405  2.904255   79  2.851064  \n",
+       "1    7  3.446809  98  3.351064   56  3.308511  237  3.287234  117  3.159574  \n",
+       "\n",
+       "[2 rows x 21 columns]"
+      ]
+     },
+     "execution_count": 47,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pd.DataFrame(result)[:2]"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -620,7 +744,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -657,7 +781,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
@@ -770,7 +894,7 @@
        "[2 rows x 21 columns]"
       ]
      },
-     "execution_count": 89,
+     "execution_count": 49,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -788,7 +912,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -800,7 +924,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -808,9 +932,13 @@
     "train_iu=train_ui.transpose().tocsr()\n",
     "\n",
     "for i in range(train_iu.shape[0]):\n",
-    "    if(train_iu.indptr[i+1]-train_iu.indptr[i] != 0):\n",
-    "        avg = np.sum(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]])/(train_iu.indptr[i+1]-train_iu.indptr[i])\n",
-    "        TopRated.append((i, avg))\n",
+    "    if len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) == 0:\n",
+    "        TopRated.append((i, 0.))\n",
+    "    else:\n",
+    "        TopRated.append((i, sum(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) / len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]])))\n",
+    "\n",
+    "\n",
+    "\n",
     "    \n",
     "TopRated.sort(key=lambda x: x[1], reverse=True)\n",
     "\n",
@@ -827,20 +955,26 @@
     "        item_pos+=1\n",
     "    result.append([user_code_id[u]]+list(chain(*rec_user)))\n",
     "\n",
+    "    \n",
     "(pd.DataFrame(result)).to_csv('Recommendations generated/ml-100k/Self_TopRated_reco.csv', index=False, header=False)\n",
     "\n",
     "\n",
     "estimations=[]\n",
     "\n",
-    "for user, item in zip(*test_ui.nonzero()):\n",
-    "    estimations.append([user_code_id[user], item_code_id[item],\n",
-    "        (train_iu.indptr[item+1]-train_iu.indptr[item])*scaling_factor])\n",
+    "for user, i in zip(*test_ui.nonzero()):\n",
+    "    if len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) == 0:\n",
+    "        estimations.append([user_code_id[user], item_code_id[i], 2.5])\n",
+    "    else:\n",
+    "        estimations.append(\n",
+    "            [user_code_id[user], item_code_id[i], sum(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) / len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]])])\n",
+    "    \n",
+    "    \n",
     "(pd.DataFrame(estimations)).to_csv('Recommendations generated/ml-100k/Self_TopRated_estimations.csv', index=False, header=False)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": 64,
    "metadata": {},
    "outputs": [
     {
@@ -936,30 +1070,192 @@
        "      <td>1500</td>\n",
        "      <td>5.0</td>\n",
        "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>3</td>\n",
+       "      <td>119</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>814</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1122</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1189</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1201</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1293</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1306</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1467</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1491</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1500</td>\n",
+       "      <td>5.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>4</td>\n",
+       "      <td>119</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>814</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1122</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1189</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1201</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1293</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1306</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1467</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1491</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1500</td>\n",
+       "      <td>5.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>5</td>\n",
+       "      <td>119</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>814</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1122</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1189</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1201</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1293</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1306</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1467</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1491</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1500</td>\n",
+       "      <td>5.0</td>\n",
+       "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
-       "<p>2 rows × 21 columns</p>\n",
+       "<p>5 rows × 21 columns</p>\n",
        "</div>"
       ],
       "text/plain": [
        "   0    1    2     3    4     5    6     7    8     9   ...    11   12    13  \\\n",
        "0   1  814  5.0  1122  5.0  1189  5.0  1201  5.0  1293  ...  1306  5.0  1467   \n",
        "1   2  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
+       "2   3  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
+       "3   4  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
+       "4   5  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
        "\n",
        "    14    15   16    17   18    19   20  \n",
        "0  5.0  1491  5.0  1500  5.0  1536  5.0  \n",
        "1  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
+       "2  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
+       "3  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
+       "4  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
        "\n",
-       "[2 rows x 21 columns]"
+       "[5 rows x 21 columns]"
       ]
      },
-     "execution_count": 92,
+     "execution_count": 64,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "pd.DataFrame(result)[:2]"
+    "pd.DataFrame(result)[:5]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 65,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>0</th>\n",
+       "      <th>1</th>\n",
+       "      <th>2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>5</td>\n",
+       "      <td>3.516903</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "      <td>3.901217</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>1</td>\n",
+       "      <td>25</td>\n",
+       "      <td>3.479851</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>1</td>\n",
+       "      <td>32</td>\n",
+       "      <td>3.833570</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>1</td>\n",
+       "      <td>33</td>\n",
+       "      <td>3.488115</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   0   1         2\n",
+       "0  1   5  3.516903\n",
+       "1  1  10  3.901217\n",
+       "2  1  25  3.479851\n",
+       "3  1  32  3.833570\n",
+       "4  1  33  3.488115"
+      ]
+     },
+     "execution_count": 65,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pd.DataFrame(estimations)[:5]"
    ]
   },
   {
@@ -971,7 +1267,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1044,7 +1340,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": 54,
    "metadata": {},
    "outputs": [
     {
@@ -1212,7 +1508,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 95,
+   "execution_count": 55,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1236,7 +1532,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": 56,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1248,7 +1544,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": 57,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1318,7 +1614,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": 58,
    "metadata": {},
    "outputs": [
     {
@@ -1489,7 +1785,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 99,
+   "execution_count": 59,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1513,7 +1809,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 100,
+   "execution_count": 60,
    "metadata": {},
    "outputs": [
     {
@@ -1570,7 +1866,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 101,
+   "execution_count": 61,
    "metadata": {},
    "outputs": [
     {
@@ -1587,7 +1883,7 @@
        "0.7524871012820799"
       ]
      },
-     "execution_count": 101,
+     "execution_count": 61,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1617,24 +1913,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 102,
+   "execution_count": 62,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "RMSE: 1.5228\n",
-      "MAE:  1.2225\n"
+      "RMSE: 1.5151\n",
+      "MAE:  1.2192\n"
      ]
     },
     {
      "data": {
       "text/plain": [
-       "1.2225008866215548"
+       "1.2192187389503517"
       ]
      },
-     "execution_count": 102,
+     "execution_count": 62,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/P1. Baseline.ipynb b/P1. Baseline.ipynb
index edb5059..93a6242 100644
--- a/P1. Baseline.ipynb	
+++ b/P1. Baseline.ipynb	
@@ -9,7 +9,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -26,7 +26,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -43,7 +43,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
@@ -134,7 +134,7 @@
        "4   560    24       2  879976772        559         23"
       ]
      },
-     "execution_count": 75,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -145,7 +145,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -155,7 +155,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -169,7 +169,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 37,
    "metadata": {
     "scrolled": true
    },
@@ -191,7 +191,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -201,7 +201,7 @@
        "\twith 8 stored elements in Compressed Sparse Row format>"
       ]
      },
-     "execution_count": 79,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -216,7 +216,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [
     {
@@ -259,7 +259,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 81,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [
     {
@@ -285,7 +285,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -309,7 +309,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "557 ns ± 15.6 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each)\n",
+      "586 ns ± 31.8 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each)\n",
       "Inefficient way to access items rated by user:\n"
      ]
     },
@@ -327,7 +327,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "65.2 µs ± 4.5 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
+      "64.4 µs ± 1.75 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
      ]
     }
    ],
@@ -352,7 +352,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
@@ -386,7 +386,7 @@
        "matrix([[ 8,  3, 11]])"
       ]
      },
-     "execution_count": 83,
+     "execution_count": 42,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -400,7 +400,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 84,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
@@ -470,7 +470,7 @@
        "        [-1.66666667,  0.        ,  1.33333333,  0.33333333]])"
       ]
      },
-     "execution_count": 84,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -500,7 +500,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 85,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
@@ -558,7 +558,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 86,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -571,7 +571,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 87,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -611,6 +611,130 @@
     "(pd.DataFrame(estimations)).to_csv('Recommendations generated/ml-100k/Self_TopPop_estimations.csv', index=False, header=False)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 47,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>0</th>\n",
+       "      <th>1</th>\n",
+       "      <th>2</th>\n",
+       "      <th>3</th>\n",
+       "      <th>4</th>\n",
+       "      <th>5</th>\n",
+       "      <th>6</th>\n",
+       "      <th>7</th>\n",
+       "      <th>8</th>\n",
+       "      <th>9</th>\n",
+       "      <th>...</th>\n",
+       "      <th>11</th>\n",
+       "      <th>12</th>\n",
+       "      <th>13</th>\n",
+       "      <th>14</th>\n",
+       "      <th>15</th>\n",
+       "      <th>16</th>\n",
+       "      <th>17</th>\n",
+       "      <th>18</th>\n",
+       "      <th>19</th>\n",
+       "      <th>20</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>50</td>\n",
+       "      <td>5.000000</td>\n",
+       "      <td>286</td>\n",
+       "      <td>4.117021</td>\n",
+       "      <td>288</td>\n",
+       "      <td>4.053191</td>\n",
+       "      <td>294</td>\n",
+       "      <td>3.851064</td>\n",
+       "      <td>300</td>\n",
+       "      <td>...</td>\n",
+       "      <td>174</td>\n",
+       "      <td>3.531915</td>\n",
+       "      <td>98</td>\n",
+       "      <td>3.351064</td>\n",
+       "      <td>313</td>\n",
+       "      <td>3.063830</td>\n",
+       "      <td>405</td>\n",
+       "      <td>2.904255</td>\n",
+       "      <td>79</td>\n",
+       "      <td>2.851064</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2</td>\n",
+       "      <td>181</td>\n",
+       "      <td>4.446809</td>\n",
+       "      <td>1</td>\n",
+       "      <td>3.914894</td>\n",
+       "      <td>121</td>\n",
+       "      <td>3.595745</td>\n",
+       "      <td>127</td>\n",
+       "      <td>3.563830</td>\n",
+       "      <td>174</td>\n",
+       "      <td>...</td>\n",
+       "      <td>7</td>\n",
+       "      <td>3.446809</td>\n",
+       "      <td>98</td>\n",
+       "      <td>3.351064</td>\n",
+       "      <td>56</td>\n",
+       "      <td>3.308511</td>\n",
+       "      <td>237</td>\n",
+       "      <td>3.287234</td>\n",
+       "      <td>117</td>\n",
+       "      <td>3.159574</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>2 rows × 21 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   0    1         2    3         4    5         6    7         8    9   ...  \\\n",
+       "0   1   50  5.000000  286  4.117021  288  4.053191  294  3.851064  300  ...   \n",
+       "1   2  181  4.446809    1  3.914894  121  3.595745  127  3.563830  174  ...   \n",
+       "\n",
+       "    11        12  13        14   15        16   17        18   19        20  \n",
+       "0  174  3.531915  98  3.351064  313  3.063830  405  2.904255   79  2.851064  \n",
+       "1    7  3.446809  98  3.351064   56  3.308511  237  3.287234  117  3.159574  \n",
+       "\n",
+       "[2 rows x 21 columns]"
+      ]
+     },
+     "execution_count": 47,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pd.DataFrame(result)[:2]"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -620,7 +744,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -657,7 +781,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
@@ -770,7 +894,7 @@
        "[2 rows x 21 columns]"
       ]
      },
-     "execution_count": 89,
+     "execution_count": 49,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -788,7 +912,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -800,7 +924,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -808,9 +932,13 @@
     "train_iu=train_ui.transpose().tocsr()\n",
     "\n",
     "for i in range(train_iu.shape[0]):\n",
-    "    if(train_iu.indptr[i+1]-train_iu.indptr[i] != 0):\n",
-    "        avg = np.sum(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]])/(train_iu.indptr[i+1]-train_iu.indptr[i])\n",
-    "        TopRated.append((i, avg))\n",
+    "    if len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) == 0:\n",
+    "        TopRated.append((i, 0.))\n",
+    "    else:\n",
+    "        TopRated.append((i, sum(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) / len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]])))\n",
+    "\n",
+    "\n",
+    "\n",
     "    \n",
     "TopRated.sort(key=lambda x: x[1], reverse=True)\n",
     "\n",
@@ -827,20 +955,26 @@
     "        item_pos+=1\n",
     "    result.append([user_code_id[u]]+list(chain(*rec_user)))\n",
     "\n",
+    "    \n",
     "(pd.DataFrame(result)).to_csv('Recommendations generated/ml-100k/Self_TopRated_reco.csv', index=False, header=False)\n",
     "\n",
     "\n",
     "estimations=[]\n",
     "\n",
-    "for user, item in zip(*test_ui.nonzero()):\n",
-    "    estimations.append([user_code_id[user], item_code_id[item],\n",
-    "        (train_iu.indptr[item+1]-train_iu.indptr[item])*scaling_factor])\n",
+    "for user, i in zip(*test_ui.nonzero()):\n",
+    "    if len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) == 0:\n",
+    "        estimations.append([user_code_id[user], item_code_id[i], 2.5])\n",
+    "    else:\n",
+    "        estimations.append(\n",
+    "            [user_code_id[user], item_code_id[i], sum(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]]) / len(train_iu.data[train_iu.indptr[i]:train_iu.indptr[i+1]])])\n",
+    "    \n",
+    "    \n",
     "(pd.DataFrame(estimations)).to_csv('Recommendations generated/ml-100k/Self_TopRated_estimations.csv', index=False, header=False)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": 64,
    "metadata": {},
    "outputs": [
     {
@@ -936,30 +1070,192 @@
        "      <td>1500</td>\n",
        "      <td>5.0</td>\n",
        "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>3</td>\n",
+       "      <td>119</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>814</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1122</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1189</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1201</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1293</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1306</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1467</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1491</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1500</td>\n",
+       "      <td>5.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>4</td>\n",
+       "      <td>119</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>814</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1122</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1189</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1201</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1293</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1306</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1467</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1491</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1500</td>\n",
+       "      <td>5.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>5</td>\n",
+       "      <td>119</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>814</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1122</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1189</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1201</td>\n",
+       "      <td>...</td>\n",
+       "      <td>1293</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1306</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1467</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1491</td>\n",
+       "      <td>5.0</td>\n",
+       "      <td>1500</td>\n",
+       "      <td>5.0</td>\n",
+       "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
-       "<p>2 rows × 21 columns</p>\n",
+       "<p>5 rows × 21 columns</p>\n",
        "</div>"
       ],
       "text/plain": [
        "   0    1    2     3    4     5    6     7    8     9   ...    11   12    13  \\\n",
        "0   1  814  5.0  1122  5.0  1189  5.0  1201  5.0  1293  ...  1306  5.0  1467   \n",
        "1   2  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
+       "2   3  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
+       "3   4  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
+       "4   5  119  5.0   814  5.0  1122  5.0  1189  5.0  1201  ...  1293  5.0  1306   \n",
        "\n",
        "    14    15   16    17   18    19   20  \n",
        "0  5.0  1491  5.0  1500  5.0  1536  5.0  \n",
        "1  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
+       "2  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
+       "3  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
+       "4  5.0  1467  5.0  1491  5.0  1500  5.0  \n",
        "\n",
-       "[2 rows x 21 columns]"
+       "[5 rows x 21 columns]"
       ]
      },
-     "execution_count": 92,
+     "execution_count": 64,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "pd.DataFrame(result)[:2]"
+    "pd.DataFrame(result)[:5]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 65,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>0</th>\n",
+       "      <th>1</th>\n",
+       "      <th>2</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>5</td>\n",
+       "      <td>3.516903</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>1</td>\n",
+       "      <td>10</td>\n",
+       "      <td>3.901217</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>1</td>\n",
+       "      <td>25</td>\n",
+       "      <td>3.479851</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>1</td>\n",
+       "      <td>32</td>\n",
+       "      <td>3.833570</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>1</td>\n",
+       "      <td>33</td>\n",
+       "      <td>3.488115</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   0   1         2\n",
+       "0  1   5  3.516903\n",
+       "1  1  10  3.901217\n",
+       "2  1  25  3.479851\n",
+       "3  1  32  3.833570\n",
+       "4  1  33  3.488115"
+      ]
+     },
+     "execution_count": 65,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pd.DataFrame(estimations)[:5]"
    ]
   },
   {
@@ -971,7 +1267,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1044,7 +1340,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": 54,
    "metadata": {},
    "outputs": [
     {
@@ -1212,7 +1508,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 95,
+   "execution_count": 55,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1236,7 +1532,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": 56,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1248,7 +1544,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": 57,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1318,7 +1614,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": 58,
    "metadata": {},
    "outputs": [
     {
@@ -1489,7 +1785,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 99,
+   "execution_count": 59,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1513,7 +1809,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 100,
+   "execution_count": 60,
    "metadata": {},
    "outputs": [
     {
@@ -1570,7 +1866,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 101,
+   "execution_count": 61,
    "metadata": {},
    "outputs": [
     {
@@ -1587,7 +1883,7 @@
        "0.7524871012820799"
       ]
      },
-     "execution_count": 101,
+     "execution_count": 61,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1617,24 +1913,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 102,
+   "execution_count": 62,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "RMSE: 1.5228\n",
-      "MAE:  1.2225\n"
+      "RMSE: 1.5151\n",
+      "MAE:  1.2192\n"
      ]
     },
     {
      "data": {
       "text/plain": [
-       "1.2225008866215548"
+       "1.2192187389503517"
       ]
      },
-     "execution_count": 102,
+     "execution_count": 62,
      "metadata": {},
      "output_type": "execute_result"
     }
diff --git a/Recommendations generated/ml-100k/Ready_Random_estimations.csv b/Recommendations generated/ml-100k/Ready_Random_estimations.csv
index 1bef285..9a3ebd5 100644
--- a/Recommendations generated/ml-100k/Ready_Random_estimations.csv	
+++ b/Recommendations generated/ml-100k/Ready_Random_estimations.csv	
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diff --git a/Recommendations generated/ml-100k/Ready_Random_reco.csv b/Recommendations generated/ml-100k/Ready_Random_reco.csv
index aa8ea53..b1a8c75 100644
--- a/Recommendations generated/ml-100k/Ready_Random_reco.csv	
+++ b/Recommendations generated/ml-100k/Ready_Random_reco.csv	
@@ -1,943 +1,943 @@
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diff --git a/Recommendations generated/ml-100k/Self_TopRated_estimations.csv b/Recommendations generated/ml-100k/Self_TopRated_estimations.csv
index 87f5c01..ed1a41a 100644
--- a/Recommendations generated/ml-100k/Self_TopRated_estimations.csv	
+++ b/Recommendations generated/ml-100k/Self_TopRated_estimations.csv	
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