数论之整数拆分练习11 标签：整数拆分
<p>数论之整数拆分练习11</p><p><strong>子女的年龄</strong></p><p>题目的描述是这样的：一个经理有3个女儿，3个女儿的年龄加起来等于13，3个女儿的年龄乘起来等于经理自己的年龄，有1个下属已知道经理的年 龄，但仍不能确定经理3个女儿的年龄，这时经理说只有1个女儿的头发是黑的，然后这个下属就知道了经理3个女儿的年龄。请问三个女儿的年龄分别是多少？为 什么？</p><p>题目也可能变为：两个俄国数学家在飞机相遇。伊凡问：如果我没有记错的话，你有3个儿子，他们都多大了？艾格回答：他们的年龄乘积是36，年龄 之和是今天的日期。伊凡思考了一分钟后，说：可是你并没有告诉我你儿子的岁数。艾格说：忘了告诉你，我小儿子的头发是红色的。伊凡回答：那就很清楚了，我 知道你儿子的岁数了。伊凡是怎么知道艾格儿子们的岁数的？</p><p>这道题也很经典，难度不算太大，经常改头换面地出现在各类趣味数学书本中。因为解题过程不需要高深的数学知识，只涉及简单的加数拆分和因素分解，但要求缜密的逻辑性和足够的耐心。</p><p>我们把这些都列成表。在女儿猜数中，出现了两个相同的乘积36，导致判断困难，因此可以断定父亲的年龄为36；由于只有一个女儿的头发是黑的， 去掉了两个小女儿同为2岁的可能性，结果因此就出来了，女儿的岁数分别是1、6、6。在儿子的猜数中，出现了2个相同的和13，导致了判断困难。由于只有 一个儿子的头发是红的，排除了两个儿子同为2岁的可能性，因此结果也是三个儿子分别为1、6、6岁，当天日期为本月的13日。</p><p><table height="437" style="width: 270pt; border-collapse: collapse;" width="360"><colgroup><col width="72" /><col width="72" /><col width="72" /><col width="72" /><col width="72" /></colgroup><tbody><tr height="19"><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">和数</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">女儿<span class="font1">1</span></td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">女儿<span class="font1">2</span></td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">女儿<span class="font1">3</span></td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">乘积</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">11</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">11</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">10</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">20</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">9</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">27</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">4</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">8</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">32</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">5</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">7</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">35</td></tr><tr height="19"><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">36</td></tr><tr height="19"><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">9</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">36</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">8</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">48</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">4</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">7</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">56</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">5</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">60</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">7</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">63</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">4</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">72</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">13</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">5</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">5</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">75</td></tr><tr height="19"><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">乘积</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">儿子<span class="font1">1</span></td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">儿子<span class="font1">2</span></td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">儿子<span class="font1">3</span></td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">和数</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">38</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">18</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">21</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">12</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">16</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">4</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">9</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">14</td></tr><tr height="19"><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">1</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">13</td></tr><tr height="19"><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">9</td><td class="et3" height="19" style="font-style: normal; width: 54pt; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(255, 102, 0); font-size: 12pt; vertical-align: middle; font-weight: 400; text-decoration: none;" width="72">13</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">2</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">6</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">11</td></tr><tr height="19"><td class="et4" height="19" style="border-width: 0.5pt 1.2pt 1.2pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">36</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">3</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">4</td><td class="et5" height="19" style="border-width: 0.5pt 1.2pt 1.2pt 0.5pt; border-style: solid; border-color: rgb(0, 0, 0); font-style: normal; width: 54pt; white-space: normal; background: none repeat scroll 0% 0% transparent; height: 14.25pt; color: rgb(0, 0, 0); font-size: 12pt; vertical-align: top; font-weight: 400; text-decoration: none;" width="72">10</td></tr></tbody></table></p>
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