diff --git a/Analysis/0411_unp-left_p-right-uturn/0415_matching.ipynb b/Analysis/0411_unp-left_p-right-uturn/0415_matching.ipynb
index 083bef383..fbb8e15b6 100644
--- a/Analysis/0411_unp-left_p-right-uturn/0415_matching.ipynb
+++ b/Analysis/0411_unp-left_p-right-uturn/0415_matching.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -17,7 +17,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -46,7 +46,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -285,7 +285,7 @@
        "[108 rows x 12 columns]"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -296,14 +296,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
@@ -328,1073 +321,289 @@
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>inter_no</th>\n",
-       "      <th>node_id</th>\n",
+       "      <th>phase_no</th>\n",
+       "      <th>ring_type</th>\n",
        "      <th>move_no</th>\n",
-       "      <th>inc_angle</th>\n",
-       "      <th>out_angle</th>\n",
        "      <th>inc_dire</th>\n",
        "      <th>out_dire</th>\n",
+       "      <th>inc_angle</th>\n",
+       "      <th>out_angle</th>\n",
        "      <th>inc_edge_id</th>\n",
        "      <th>out_edge_id</th>\n",
+       "      <th>node_id</th>\n",
+       "      <th>turn_type</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
-       "      <td>8</td>\n",
-       "      <td>179</td>\n",
-       "      <td>000</td>\n",
-       "      <td>남</td>\n",
-       "      <td>북</td>\n",
-       "      <td>-571542797_02</td>\n",
-       "      <td>571500487_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
-       "      <td>4</td>\n",
-       "      <td>001</td>\n",
-       "      <td>180</td>\n",
-       "      <td>북</td>\n",
-       "      <td>남</td>\n",
-       "      <td>-571500487_01</td>\n",
-       "      <td>571542797_02</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
-       "      <td>7</td>\n",
-       "      <td>001</td>\n",
-       "      <td>090</td>\n",
-       "      <td>북</td>\n",
-       "      <td>동</td>\n",
-       "      <td>-571500487_01</td>\n",
-       "      <td>571545870_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
-       "      <td>3</td>\n",
-       "      <td>179</td>\n",
-       "      <td>270</td>\n",
-       "      <td>남</td>\n",
-       "      <td>서</td>\n",
-       "      <td>-571542797_02</td>\n",
-       "      <td>571510153_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
+       "      <th>80</th>\n",
+       "      <td>202</td>\n",
+       "      <td>1</td>\n",
+       "      <td>A</td>\n",
        "      <td>6</td>\n",
-       "      <td>090</td>\n",
-       "      <td>270</td>\n",
        "      <td>동</td>\n",
        "      <td>서</td>\n",
-       "      <td>571545870_02</td>\n",
-       "      <td>571510153_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
-       "      <td>1</td>\n",
        "      <td>090</td>\n",
-       "      <td>180</td>\n",
-       "      <td>동</td>\n",
-       "      <td>남</td>\n",
-       "      <td>571545870_02</td>\n",
-       "      <td>571542797_02</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>6</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
-       "      <td>5</td>\n",
        "      <td>270</td>\n",
-       "      <td>000</td>\n",
-       "      <td>서</td>\n",
-       "      <td>북</td>\n",
-       "      <td>571510153_02</td>\n",
-       "      <td>571500487_01</td>\n",
+       "      <td>571510152_02</td>\n",
+       "      <td>-571510152_01</td>\n",
+       "      <td>i9</td>\n",
+       "      <td>straight</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>7</th>\n",
-       "      <td>175</td>\n",
-       "      <td>i0</td>\n",
+       "      <th>81</th>\n",
+       "      <td>202</td>\n",
+       "      <td>1</td>\n",
+       "      <td>B</td>\n",
        "      <td>2</td>\n",
-       "      <td>270</td>\n",
-       "      <td>090</td>\n",
        "      <td>서</td>\n",
        "      <td>동</td>\n",
-       "      <td>571510153_02</td>\n",
-       "      <td>571545870_01</td>\n",
+       "      <td>270</td>\n",
+       "      <td>090</td>\n",
+       "      <td>571510152_01</td>\n",
+       "      <td>571510152_01.65</td>\n",
+       "      <td>i9</td>\n",
+       "      <td>straight</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "text/plain": [
-       "   inter_no node_id  move_no inc_angle out_angle inc_dire out_dire  \\\n",
-       "0       175      i0        8       179       000        남        북   \n",
-       "1       175      i0        4       001       180        북        남   \n",
-       "2       175      i0        7       001       090        북        동   \n",
-       "3       175      i0        3       179       270        남        서   \n",
-       "4       175      i0        6       090       270        동        서   \n",
-       "5       175      i0        1       090       180        동        남   \n",
-       "6       175      i0        5       270       000        서        북   \n",
-       "7       175      i0        2       270       090        서        동   \n",
+       "    inter_no  phase_no ring_type  move_no inc_dire out_dire inc_angle  \\\n",
+       "80       202         1         A        6        동        서       090   \n",
+       "81       202         1         B        2        서        동       270   \n",
        "\n",
-       "     inc_edge_id   out_edge_id  \n",
-       "0  -571542797_02  571500487_01  \n",
-       "1  -571500487_01  571542797_02  \n",
-       "2  -571500487_01  571545870_01  \n",
-       "3  -571542797_02  571510153_01  \n",
-       "4   571545870_02  571510153_01  \n",
-       "5   571545870_02  571542797_02  \n",
-       "6   571510153_02  571500487_01  \n",
-       "7   571510153_02  571545870_01  "
+       "   out_angle   inc_edge_id      out_edge_id node_id turn_type  \n",
+       "80       270  571510152_02    -571510152_01      i9  straight  \n",
+       "81       090  571510152_01  571510152_01.65      i9  straight  "
       ]
      },
+     "execution_count": 10,
      "metadata": {},
-     "output_type": "display_data"
-    },
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "self.match6[self.match6.node_id==parent_id].dropna(subset=['inc_edge_id', 'out_edge_id'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "self.match7 = self.match6.copy()\n",
+    "self.match7 = self.match7[['inter_no', 'node_id', 'move_no', 'inc_angle', 'out_angle', 'inc_dire', 'out_dire', 'inc_edge_id', 'out_edge_id']]\n",
+    "# parent_id = self.parent_ids[1]\n",
+    "\n",
+    "for parent_id in self.parent_ids:\n",
+    "    m7 = self.match7[self.match7.node_id==parent_id].dropna(subset=['inc_edge_id', 'out_edge_id'])\n",
+    "    m6 = self.match6[self.match6.node_id==parent_id].dropna(subset=['inc_edge_id', 'out_edge_id'])\n",
+    "    inc_angles = [int(angle) for angle in np.unique(m7.inc_angle.values)]\n",
+    "    out_angles = [int(angle) for angle in np.unique(m7.out_angle.values)]\n",
+    "    # print(parent_id)\n",
+    "    # display(m6)\n",
+    "    # display(m7)\n",
+    "    # print(inc_angles)\n",
+    "    # print(out_angles)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# (1) 가능한 (진입방향, 진출방향) 목록 \n",
+    "flows = self.nema.dropna().apply(lambda row: (row['inc_dire'], row['out_dire']), axis=1).tolist()\n",
+    "# (2) 각 교차로별 방향 목록 : pdires (possible directions)\n",
+    "pdires = {}\n",
+    "for node_id in self.parent_ids:\n",
+    "    dires = self.match7[self.match7.node_id == node_id][['inc_dire','out_dire']].values.flatten()\n",
+    "    dires = {dire for dire in dires if type(dire)==str}\n",
+    "    pdires[node_id] = dires\n",
+    "# (3) 각 (교차로, 진입방향) 별 진입id 목록 : inc2id (incoming direction to incoming edge_id)\n",
+    "inc2id = {}\n",
+    "for node_id in self.parent_ids:\n",
+    "    for inc_dire in pdires[node_id]:\n",
+    "        df = self.match7[(self.match7.node_id==node_id) & (self.match7.inc_dire==inc_dire)]\n",
+    "        inc2id[(node_id, inc_dire)] = df.inc_edge_id.iloc[0]\n",
+    "# (4) 각 (교차로, 진출방향) 별 진출id 목록 : out2id (outgoing direction to outgoing edge_id)\n",
+    "out2id = {}\n",
+    "for node_id in self.parent_ids:\n",
+    "    for out_dire in pdires[node_id]:\n",
+    "        df = self.match7[(self.match7.node_id==node_id) & (self.match7.out_dire==out_dire)]\n",
+    "        out2id[(node_id, out_dire)] = df.out_edge_id.iloc[0]\n",
+    "# (5) 각 교차로별 가능한 (진입방향, 진출방향) 목록 : pflow (possible flows)\n",
+    "pflow = {}\n",
+    "for node_id in self.parent_ids:\n",
+    "    pflow[node_id] = [flow for flow in flows if set(flow).issubset(pdires[node_id])]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "metadata": {},
+   "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[1, 90, 179, 270]\n",
-      "[0, 90, 180, 270]\n"
+      "i0\n"
      ]
     },
     {
      "data": {
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-       "      <th>inter_no</th>\n",
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-       "      <th>16</th>\n",
-       "      <td>176</td>\n",
-       "      <td>i1</td>\n",
-       "      <td>8</td>\n",
-       "      <td>180</td>\n",
-       "      <td>356</td>\n",
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-       "      <td>북</td>\n",
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-       "      <td>-571542797_02.99</td>\n",
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-       "      <th>17</th>\n",
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-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>18</th>\n",
-       "      <td>176</td>\n",
-       "      <td>i1</td>\n",
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-       "      <td>180</td>\n",
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-       "      <td>북</td>\n",
-       "      <td>-571542810_01</td>\n",
-       "      <td>-571542797_02.99</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>19</th>\n",
-       "      <td>176</td>\n",
-       "      <td>i1</td>\n",
-       "      <td>3</td>\n",
-       "      <td>180</td>\n",
-       "      <td>270</td>\n",
-       "      <td>남</td>\n",
-       "      <td>서</td>\n",
-       "      <td>-571542810_01</td>\n",
-       "      <td>571543469_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>20</th>\n",
-       "      <td>176</td>\n",
-       "      <td>i1</td>\n",
-       "      <td>5</td>\n",
-       "      <td>270</td>\n",
-       "      <td>356</td>\n",
-       "      <td>서</td>\n",
-       "      <td>북</td>\n",
-       "      <td>571543469_02</td>\n",
-       "      <td>-571542797_02.99</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
       "text/plain": [
-       "    inter_no node_id  move_no inc_angle out_angle inc_dire out_dire  \\\n",
-       "16       176      i1        8       180       356        남        북   \n",
-       "17       176      i1        4       359       180        북        남   \n",
-       "18       176      i1        8       180       356        남        북   \n",
-       "19       176      i1        3       180       270        남        서   \n",
-       "20       176      i1        5       270       356        서        북   \n",
-       "\n",
-       "        inc_edge_id       out_edge_id  \n",
-       "16    -571542810_01  -571542797_02.99  \n",
-       "17  571542797_02.99      571542810_01  \n",
-       "18    -571542810_01  -571542797_02.99  \n",
-       "19    -571542810_01      571543469_01  \n",
-       "20     571543469_02  -571542797_02.99  "
+       "{1: '571545870_02',\n",
+       " 2: '571510153_02',\n",
+       " 3: '-571542797_02',\n",
+       " 4: '-571500487_01',\n",
+       " 5: '571510153_02',\n",
+       " 6: '571545870_02',\n",
+       " 7: '-571500487_01',\n",
+       " 8: '-571542797_02',\n",
+       " 9: '-571500487_01',\n",
+       " 10: '571510153_02',\n",
+       " 11: '571545870_02',\n",
+       " 12: '-571500487_01',\n",
+       " 13: '571510153_02',\n",
+       " 14: '-571500487_01',\n",
+       " 15: '-571500487_01',\n",
+       " 16: '571545870_02'}"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
     },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[180, 270, 359]\n",
-      "[180, 270, 356]\n"
-     ]
-    },
     {
      "data": {
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-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>inter_no</th>\n",
-       "      <th>node_id</th>\n",
-       "      <th>move_no</th>\n",
-       "      <th>inc_angle</th>\n",
-       "      <th>out_angle</th>\n",
-       "      <th>inc_dire</th>\n",
-       "      <th>out_dire</th>\n",
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-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>22</th>\n",
-       "      <td>177</td>\n",
-       "      <td>i2</td>\n",
-       "      <td>8</td>\n",
-       "      <td>179</td>\n",
-       "      <td>000</td>\n",
-       "      <td>남</td>\n",
-       "      <td>북</td>\n",
-       "      <td>-571542809_01</td>\n",
-       "      <td>571542811_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>23</th>\n",
-       "      <td>177</td>\n",
-       "      <td>i2</td>\n",
-       "      <td>4</td>\n",
-       "      <td>000</td>\n",
-       "      <td>180</td>\n",
-       "      <td>북</td>\n",
-       "      <td>남</td>\n",
-       "      <td>571542811_02</td>\n",
-       "      <td>571542809_01</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
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-       "</div>"
-      ],
-      "text/plain": [
-       "    inter_no node_id  move_no inc_angle out_angle inc_dire out_dire  \\\n",
-       "22       177      i2        8       179       000        남        북   \n",
-       "23       177      i2        4       000       180        북        남   \n",
-       "\n",
-       "      inc_edge_id   out_edge_id  \n",
-       "22  -571542809_01  571542811_01  \n",
-       "23   571542811_02  571542809_01  "
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[0, 179]\n",
-      "[0, 180]\n"
-     ]
-    },
-    {
-     "data": {
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-       "      <td>571500617_02</td>\n",
-       "      <td>571500618_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>77</th>\n",
-       "      <td>201</td>\n",
-       "      <td>i8</td>\n",
-       "      <td>1</td>\n",
-       "      <td>090</td>\n",
-       "      <td>180</td>\n",
-       "      <td>동</td>\n",
-       "      <td>남</td>\n",
-       "      <td>571500617_02</td>\n",
-       "      <td>571500569_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>78</th>\n",
-       "      <td>201</td>\n",
-       "      <td>i8</td>\n",
-       "      <td>7</td>\n",
-       "      <td>000</td>\n",
-       "      <td>090</td>\n",
-       "      <td>북</td>\n",
-       "      <td>동</td>\n",
-       "      <td>571500583_01</td>\n",
-       "      <td>571500617_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>79</th>\n",
-       "      <td>201</td>\n",
-       "      <td>i8</td>\n",
-       "      <td>4</td>\n",
-       "      <td>000</td>\n",
-       "      <td>180</td>\n",
-       "      <td>북</td>\n",
-       "      <td>남</td>\n",
-       "      <td>571500583_01</td>\n",
-       "      <td>571500569_01</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "    inter_no node_id  move_no inc_angle out_angle inc_dire out_dire  \\\n",
-       "70       201      i8        8       180       000        남        북   \n",
-       "71       201      i8        3       180       270        남        서   \n",
-       "72       201      i8        5       270       000        서        북   \n",
-       "73       201      i8        2       270       090        서        동   \n",
-       "74       201      i8        6       090       270        동        서   \n",
-       "75       201      i8        2       270       090        서        동   \n",
-       "76       201      i8        6       090       270        동        서   \n",
-       "77       201      i8        1       090       180        동        남   \n",
-       "78       201      i8        7       000       090        북        동   \n",
-       "79       201      i8        4       000       180        북        남   \n",
-       "\n",
-       "      inc_edge_id   out_edge_id  \n",
-       "70  -571500569_01  571500583_02  \n",
-       "71  -571500569_01  571500618_01  \n",
-       "72   571500618_02  571500583_02  \n",
-       "73   571500618_02  571500617_01  \n",
-       "74   571500617_02  571500618_01  \n",
-       "75   571500618_02  571500617_01  \n",
-       "76   571500617_02  571500618_01  \n",
-       "77   571500617_02  571500569_01  \n",
-       "78   571500583_01  571500617_01  \n",
-       "79   571500583_01  571500569_01  "
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[0, 90, 180, 270]\n",
-      "[0, 90, 180, 270]\n"
-     ]
-    },
-    {
-     "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>inter_no</th>\n",
-       "      <th>node_id</th>\n",
-       "      <th>move_no</th>\n",
-       "      <th>inc_angle</th>\n",
-       "      <th>out_angle</th>\n",
-       "      <th>inc_dire</th>\n",
-       "      <th>out_dire</th>\n",
-       "      <th>inc_edge_id</th>\n",
-       "      <th>out_edge_id</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>80</th>\n",
-       "      <td>202</td>\n",
-       "      <td>i9</td>\n",
-       "      <td>6</td>\n",
-       "      <td>090</td>\n",
-       "      <td>270</td>\n",
-       "      <td>동</td>\n",
-       "      <td>서</td>\n",
-       "      <td>571510152_02</td>\n",
-       "      <td>-571510152_01</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>81</th>\n",
-       "      <td>202</td>\n",
-       "      <td>i9</td>\n",
-       "      <td>2</td>\n",
-       "      <td>270</td>\n",
-       "      <td>090</td>\n",
-       "      <td>서</td>\n",
-       "      <td>동</td>\n",
-       "      <td>571510152_01</td>\n",
-       "      <td>571510152_01.65</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
       "text/plain": [
-       "    inter_no node_id  move_no inc_angle out_angle inc_dire out_dire  \\\n",
-       "80       202      i9        6       090       270        동        서   \n",
-       "81       202      i9        2       270       090        서        동   \n",
-       "\n",
-       "     inc_edge_id      out_edge_id  \n",
-       "80  571510152_02    -571510152_01  \n",
-       "81  571510152_01  571510152_01.65  "
+       "{1: '571542797_02',\n",
+       " 2: '571545870_01',\n",
+       " 3: '571510153_01',\n",
+       " 4: '571542797_02',\n",
+       " 5: '571500487_01',\n",
+       " 6: '571510153_01',\n",
+       " 7: '571545870_01',\n",
+       " 8: '571500487_01',\n",
+       " 9: '571545870_01',\n",
+       " 10: '571500487_01',\n",
+       " 11: '571510153_01',\n",
+       " 12: '571545870_01',\n",
+       " 13: '571500487_01',\n",
+       " 14: '571510153_01',\n",
+       " 15: '571500487_01',\n",
+       " 16: '571500487_01'}"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
-    },
+    }
+   ],
+   "source": [
+    "p2am = dict() # parent id to a list of aligned movement numbers\n",
+    "for parent_id in self.parent_ids:\n",
+    "    pnema = self.nema[self.nema.inc_dire.isin(pdires[parent_id]) & self.nema.out_dire.isin(pdires[parent_id])]\n",
+    "    p2am[parent_id] = list(pnema.move_no)\n",
+    "\n",
+    "dire2vec = dict() # direction to unit vector\n",
+    "theta = np.pi/2\n",
+    "for dire in self.dires:\n",
+    "    dire2vec[dire] = np.array([np.cos(theta), np.sin(theta)])\n",
+    "    theta -= np.pi/4\n",
+    "\n",
+    "plain_move_nos = list(range(1,17)) # plain movement numbers\n",
+    "\n",
+    "p2pm2inc_edge_id = dict() # parent id to pm2inc_edge_id\n",
+    "p2pm2out_edge_id = dict() # parent id to pm2out_edge_id\n",
+    "for parent_id in self.parent_ids:\n",
+    "    pm2inc_edge_id = dict() # plain movement to incoming edge id\n",
+    "    pm2out_edge_id = dict() # plain movement to outgoing edge id\n",
+    "    for pm in plain_move_nos:\n",
+    "        row = self.nema[self.nema.move_no==pm].iloc[0]\n",
+    "        inc_dire = row.inc_dire\n",
+    "        out_dire = row.out_dire\n",
+    "        inc_vec_true = dire2vec[inc_dire]\n",
+    "        out_vec_true = dire2vec[out_dire]\n",
+    "\n",
+    "        node = self.net.getNode(parent_id)\n",
+    "        # 교차로의 모든 (from / to) edges\n",
+    "        inc_edges = [edge for edge in node.getIncoming() if edge.getFunction() == ''] # incoming edges\n",
+    "        out_edges = [edge for edge in node.getOutgoing() if edge.getFunction() == ''] # outgoing edges\n",
+    "        # 교차로의 모든 (from / to) unit vector\n",
+    "        inc_vecs = []\n",
+    "        for inc_edge in inc_edges:\n",
+    "            start = inc_edge.getShape()[-1]\n",
+    "            end = inc_edge.getShape()[-2]\n",
+    "            inc_vec = np.array(end) - np.array(start)\n",
+    "            inc_vec = inc_vec / (inc_vec ** 2).sum() ** 0.5\n",
+    "            inc_vecs.append(inc_vec)\n",
+    "        out_vecs = []\n",
+    "        for out_edge in out_edges:\n",
+    "            start = out_edge.getShape()[0]\n",
+    "            end = out_edge.getShape()[1]\n",
+    "            out_vec = np.array(end) - np.array(start)\n",
+    "            out_vec = out_vec / (out_vec ** 2).sum() ** 0.5\n",
+    "            out_vecs.append(out_vec)\n",
+    "        # 매칭 엣지 반환\n",
+    "        inc_index = np.array([np.dot(inc_vec, inc_vec_true) for inc_vec in inc_vecs]).argmax()\n",
+    "        out_index = np.array([np.dot(out_vec, out_vec_true) for out_vec in out_vecs]).argmax()\n",
+    "        inc_edge_id = inc_edges[inc_index].getID()\n",
+    "        out_edge_id = out_edges[out_index].getID()\n",
+    "        pm2inc_edge_id[pm] = inc_edge_id\n",
+    "        pm2out_edge_id[pm] = out_edge_id\n",
+    "    p2pm2inc_edge_id[parent_id] = pm2inc_edge_id\n",
+    "    p2pm2out_edge_id[parent_id] = pm2out_edge_id\n",
+    "\n",
+    "parent_id = self.parent_ids[0]\n",
+    "print(parent_id)\n",
+    "display(p2pm2inc_edge_id[parent_id])\n",
+    "display(p2pm2out_edge_id[parent_id])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 40,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "plain_move_nos = list(range(1,17)) # plain movement numbers\n",
+    "p2pm2inc_edge_id = dict() # parent id to pm2inc_edge_id\n",
+    "p2pm2out_edge_id = dict() # parent id to pm2out_edge_id\n",
+    "for parent_id in self.parent_ids:\n",
+    "    pm2inc_angle = dict()\n",
+    "    for pm in plain_move_nos:\n",
+    "        row = self.nema[self.nema.move_no==pm].iloc[0]\n",
+    "        # inc_dire = row.\n",
+    "# plain movement number(1-16) to (inc_angle, out_angle)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[90, 270]\n",
-      "[90, 270]\n"
+      "[('동', '남'), ('서', '동'), ('남', '서'), ('북', '남'), ('서', '북'), ('동', '서'), ('북', '동'), ('남', '북'), ('북동', '남동'), ('남서', '북동'), ('남동', '남서'), ('북서', '남동'), ('남서', '북서'), ('북동', '남서'), ('북서', '북동'), ('남동', '북서')]\n",
+      "{'i0': {'북', '남', '동', '서'}, 'i1': {'북', '남', '서'}, 'i2': {'북', '남'}, 'i3': {'북', '남', '동', '서'}, 'i6': {'북', '남', '동', '서'}, 'i7': {'북', '남'}, 'i8': {'북', '남', '서', '동'}, 'i9': {'동', '서'}}\n",
+      "{('i0', '북'): '-571500487_01', ('i0', '남'): '-571542797_02', ('i0', '동'): '571545870_02', ('i0', '서'): '571510153_02', ('i1', '북'): '571542797_02.99', ('i1', '남'): '-571542810_01', ('i1', '서'): '571543469_02', ('i2', '북'): '571542811_02', ('i2', '남'): '-571542809_01', ('i3', '북'): '571556450_02', ('i3', '남'): '571540304_02', ('i3', '동'): '-571500475_01', ('i3', '서'): '571540303_02.21', ('i6', '북'): '571511538_02.121', ('i6', '남'): '571500585_02', ('i6', '동'): '-571542115_01', ('i6', '서'): '571500535_02.18', ('i7', '북'): '571542073_01', ('i7', '남'): '-571511538_02', ('i8', '북'): '571500583_01', ('i8', '남'): '-571500569_01', ('i8', '서'): '571500618_02', ('i8', '동'): '571500617_02', ('i9', '동'): '571510152_02', ('i9', '서'): '571510152_01'}\n",
+      "{('i0', '북'): '571500487_01', ('i0', '남'): '571542797_02', ('i0', '동'): '571545870_01', ('i0', '서'): '571510153_01', ('i1', '북'): '-571542797_02.99', ('i1', '남'): '571542810_01', ('i1', '서'): '571543469_01', ('i2', '북'): '571542811_01', ('i2', '남'): '571542809_01', ('i3', '북'): '571556450_01', ('i3', '남'): '571540304_01', ('i3', '동'): '571500475_01', ('i3', '서'): '571540303_01', ('i6', '북'): '571511538_01', ('i6', '남'): '571500585_01', ('i6', '동'): '571542115_01', ('i6', '서'): '571500535_01', ('i7', '북'): '571542073_02', ('i7', '남'): '571511538_02', ('i8', '북'): '571500583_02', ('i8', '남'): '571500569_01', ('i8', '서'): '571500618_01', ('i8', '동'): '571500617_01', ('i9', '동'): '571510152_01.65', ('i9', '서'): '-571510152_01'}\n",
+      "{'i0': [('동', '남'), ('서', '동'), ('남', '서'), ('북', '남'), ('서', '북'), ('동', '서'), ('북', '동'), ('남', '북')], 'i1': [('남', '서'), ('북', '남'), ('서', '북'), ('남', '북')], 'i2': [('북', '남'), ('남', '북')], 'i3': [('동', '남'), ('서', '동'), ('남', '서'), ('북', '남'), ('서', '북'), ('동', '서'), ('북', '동'), ('남', '북')], 'i6': [('동', '남'), ('서', '동'), ('남', '서'), ('북', '남'), ('서', '북'), ('동', '서'), ('북', '동'), ('남', '북')], 'i7': [('북', '남'), ('남', '북')], 'i8': [('동', '남'), ('서', '동'), ('남', '서'), ('북', '남'), ('서', '북'), ('동', '서'), ('북', '동'), ('남', '북')], 'i9': [('서', '동'), ('동', '서')]}\n"
      ]
     }
    ],
    "source": [
-    "self.match7 = self.match6.copy()\n",
-    "self.match7 = self.match7[['inter_no', 'node_id', 'move_no', 'inc_angle', 'out_angle', 'inc_dire', 'out_dire', 'inc_edge_id', 'out_edge_id']]\n",
-    "# parent_id = self.parent_ids[1]\n",
-    "\n",
-    "for parent_id in self.parent_ids:\n",
-    "    m7 = self.match7[self.match7.node_id==parent_id].dropna(subset=['inc_edge_id', 'out_edge_id'])\n",
-    "    display(m7)\n",
-    "    inc_angles = [int(angle) for angle in np.unique(m7.inc_angle.values)]\n",
-    "    out_angles = [int(angle) for angle in np.unique(m7.out_angle.values)]\n",
-    "    print(inc_angles)\n",
-    "    print(out_angles)"
+    "print(flows)\n",
+    "print(pdires)\n",
+    "print(inc2id)\n",
+    "print(out2id)\n",
+    "print(pflow)"
    ]
   },
   {
@@ -1404,33 +613,6 @@
    "outputs": [],
    "source": [
     "\n",
-    "# parent_ids = sorted(self.inter_node[self.inter_node.inter_type=='parent'].node_id.unique())\n",
-    "# child_ids = sorted(self.inter_node[self.inter_node.inter_type=='child'].node_id.unique())\n",
-    "\n",
-    "# (1) 가능한 (진입방향, 진출방향) 목록 \n",
-    "flows = self.nema.dropna().apply(lambda row: (row['inc_dire'], row['out_dire']), axis=1).tolist()\n",
-    "# (2) 각 교차로별 방향 목록 : pdires (possible directions)\n",
-    "pdires = {}\n",
-    "for node_id in self.parent_ids:\n",
-    "    dires = self.match7[self.match7.node_id == node_id][['inc_dire','out_dire']].values.flatten()\n",
-    "    dires = {dire for dire in dires if type(dire)==str}\n",
-    "    pdires[node_id] = dires\n",
-    "# (3) 각 (교차로, 진입방향) 별 진입id 목록 : inc2id (incoming direction to incoming edge_id)\n",
-    "inc2id = {}\n",
-    "for node_id in self.parent_ids:\n",
-    "    for inc_dire in pdires[node_id]:\n",
-    "        df = self.match7[(self.match7.node_id==node_id) & (self.match7.inc_dire==inc_dire)]\n",
-    "        inc2id[(node_id, inc_dire)] = df.inc_edge_id.iloc[0]\n",
-    "# (4) 각 (교차로, 진출방향) 별 진출id 목록 : out2id (outgoing direction to outgoing edge_id)\n",
-    "out2id = {}\n",
-    "for node_id in self.parent_ids:\n",
-    "    for out_dire in pdires[node_id]:\n",
-    "        df = self.match7[(self.match7.node_id==node_id) & (self.match7.out_dire==out_dire)]\n",
-    "        out2id[(node_id, out_dire)] = df.out_edge_id.iloc[0]\n",
-    "# (5) 각 교차로별 가능한 (진입방향, 진출방향) 목록 : pflow (possible flows)\n",
-    "pflow = {}\n",
-    "for node_id in self.parent_ids:\n",
-    "    pflow[node_id] = [flow for flow in flows if set(flow).issubset(pdires[node_id])]\n",
     "# (6) 가능한 이동류에 대하여 진입id, 진출id 배정 : matching\n",
     "dires_right = ['북', '북서', '서', '남서', '남', '남동', '동', '북동'] # ex (북, 서), (서, 남) 등은 우회전 flow\n",
     "self.matching = []\n",
diff --git a/Documents/1127_table_definition/table_definition_v0.8.5.xlsx b/Documents/1127_table_definition/table_definition_v0.8.5.xlsx
index 1001ed33e..81d07f1a4 100644
Binary files a/Documents/1127_table_definition/table_definition_v0.8.5.xlsx and b/Documents/1127_table_definition/table_definition_v0.8.5.xlsx differ
diff --git a/Scripts/__pycache__/preprocess_daily.cpython-38.pyc b/Scripts/__pycache__/preprocess_daily.cpython-38.pyc
index 3430d562d..176ac9501 100644
Binary files a/Scripts/__pycache__/preprocess_daily.cpython-38.pyc and b/Scripts/__pycache__/preprocess_daily.cpython-38.pyc differ
diff --git a/Scripts/preprocess_daily.py b/Scripts/preprocess_daily.py
index bed3e4d29..6b2291dbf 100644
--- a/Scripts/preprocess_daily.py
+++ b/Scripts/preprocess_daily.py
@@ -366,11 +366,11 @@ class DailyPreprocessor():
             # 교차로의 모든 (from / to) edges
             inc_edges = [edge for edge in node.getIncoming() if edge.getFunction() == ''] # incoming edges
             out_edges = [edge for edge in node.getOutgoing() if edge.getFunction() == ''] # outgoing edges
-            # 교차로의 모든 (from / to) directions (unit vector)
+            # 교차로의 모든 (from / to) unit vector
             inc_vecs = []
             for inc_edge in inc_edges:
-                start = inc_edge.getShape()[-2]
-                end = inc_edge.getShape()[-1]
+                start = inc_edge.getShape()[-1]
+                end = inc_edge.getShape()[-2]
                 inc_vec = np.array(end) - np.array(start)
                 inc_vec = inc_vec / (inc_vec ** 2).sum() ** 0.5
                 inc_vecs.append(inc_vec)
@@ -386,7 +386,7 @@ class DailyPreprocessor():
                 inc_angle = int(row.inc_angle)
                 out_angle = int(row.out_angle)
                 # 방위각을 일반각으로 가공, 라디안 변환, 단위벡터로 변환
-                inc_angle = (-90 - inc_angle) % 360
+                inc_angle = (90 - inc_angle) % 360
                 inc_angle = inc_angle * np.pi / 180.
                 inc_vec_true = np.array([np.cos(inc_angle), np.sin(inc_angle)])
                 out_angle = (90 - out_angle) % 360
@@ -564,8 +564,8 @@ class DailyPreprocessor():
     # 2-1-7
     def make_matching(self):
         '''
-        각 교차로에 대하여, 가능한 모든 이동류 (1~18, 21)에 대한 진입·진출엣지ID를 지정한 테이블
-        * 시차제
+        각 교차로에 대하여, 가능한 모든 이동류 (1~16)에 대한 진입·진출엣지ID를 지정한 테이블
+        * 시차제에 대비한 테이블
 
         컬럼명 : inter_no, move_no, inc_dire, out_dire, inc_edge_id, out_edge_id, node_id
         '''
@@ -573,9 +573,6 @@ class DailyPreprocessor():
         self.match7 = self.match6.copy()
         self.match7 = self.match7[['inter_no', 'move_no', 'inc_dire', 'out_dire', 'inc_edge_id', 'out_edge_id', 'node_id']]
 
-        # parent_ids = sorted(self.inter_node[self.inter_node.inter_type=='parent'].node_id.unique())
-        # child_ids = sorted(self.inter_node[self.inter_node.inter_type=='child'].node_id.unique())
-
         # (1) 가능한 (진입방향, 진출방향) 목록 
         flows = self.nema.dropna().apply(lambda row: (row['inc_dire'], row['out_dire']), axis=1).tolist()
         # (2) 각 교차로별 방향 목록 : pdires (possible directions)