year by year. We only need the data in a <i>zh&#257;ng</i> cycle, which can be captured by two functions J and R defined in the following table.</p>
    
<table class="compact">
<caption><b>Table 3: Functions J and R</b></caption>
<tr>
<th>k</th> <td>0</td> <td>1</td> <td>2</td> <td>3</td> <td>4</td> <td>5</td> 
<td>6</td> <td>7</td> <td>8</td> <td>9</td> <td>10</td> <td>11</td> <td>12</td> 
<td>13</td> <td>14</td> <td>15</td> <td>16</td> <td>17</td> <td>18</td>
</tr>
<tr> <th>J(k)</th> 
<td>0</td> <td>0</t