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1

表达式求值

📝 题解 🔵 仅限 C++
题目描述
<p class="p0" style="text-indent:15.75pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'宋体';">Dr.Kong设计的机器人卡多掌握了加减法运算以后,最近又学会了一些简单的函数求值,比如,它知道函数min(20,23)的值是20&nbsp;,add(10,98)&nbsp;的值是108等等。经过训练,Dr.Kong设计的机器人卡多甚至会计算一种嵌套的更复杂的</span><span style="font-size:10.5pt;font-family:'宋体';">表达式。</span><span style="font-size:10.5pt;font-family:'宋体';"></span> </p> <p class="p0" style="text-indent:15.75pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'宋体';">假设表达式可以简单定义为</span><span style="font-size:10.5pt;font-family:'CMR10';">:</span><span style="font-size:10.5pt;font-family:'CMR10';"></span> </p> <p class="p0" style="text-indent:26.25pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'CMR10';">1.&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">一个</span><span style="font-size:10.5pt;font-family:'宋体';">正的十进制数&nbsp;</span><span style="font-size:10.5pt;font-family:'CMR10';">x</span><span style="font-size:10.5pt;font-family:'宋体';">&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">是一个表达式。</span><span style="font-size:10.5pt;font-family:'宋体';"></span> </p> <p class="p0" style="text-indent:26.25pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'CMR10';">2.&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">如果&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">x&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">和&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">y&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">是</span><span style="font-size:10.5pt;font-family:'宋体';">&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">表达式,则&nbsp;函数</span><span style="font-size:10.5pt;font-family:'CMR10';">min(</span><span style="font-size:10.5pt;font-family:'宋体';">x,y&nbsp;</span><span style="font-size:10.5pt;font-family:'CMR10';">)</span><span style="font-size:10.5pt;font-family:'宋体';">也是表达式,其值为x,y&nbsp;中的最小数。</span><span style="font-size:10.5pt;font-family:'宋体';"></span> </p> <p class="p0" style="text-indent:26.25pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'CMR10';">3.&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">如果&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">x&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">和&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">y&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">是</span><span style="font-size:10.5pt;font-family:'宋体';">&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">表达式,则&nbsp;函数</span><span style="font-size:10.5pt;font-family:'CMR10';">m</span><span style="font-size:10.5pt;font-family:'宋体';">ax</span><span style="font-size:10.5pt;font-family:'CMR10';">(</span><span style="font-size:10.5pt;font-family:'宋体';">x,y&nbsp;</span><span style="font-size:10.5pt;font-family:'CMR10';">)</span><span style="font-size:10.5pt;font-family:'宋体';">也是表达式,其值为x,y&nbsp;中的最大数。</span><span style="font-size:10.5pt;font-family:'宋体';"></span> </p> <p class="p0" style="text-indent:26.25pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'宋体';">4.如果&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">x&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">和&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">y&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">是</span><span style="font-size:10.5pt;font-family:'宋体';">&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">表达式,则&nbsp;函数</span><span style="font-size:10.5pt;font-family:'宋体';">add</span><span style="font-size:10.5pt;font-family:'CMR10';">(</span><span style="font-size:10.5pt;font-family:'宋体';">x,y&nbsp;</span><span style="font-size:10.5pt;font-family:'CMR10';">)</span><span style="font-size:10.5pt;font-family:'宋体';">也是表达式,其值为x,y&nbsp;之和。</span><span style="font-size:10.5pt;font-family:'宋体';"></span> </p> <p class="p0" style="text-indent:26.25pt;text-align:left;"> <span style="font-size:10.5pt;font-family:'宋体';">例如,</span><span style="font-size:10.5pt;font-family:'宋体';">&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">表达式&nbsp;</span><span style="font-size:10.5pt;font-family:'CMR10';">max</span><span style="font-size:10.5pt;font-family:'宋体';">(</span><span style="font-size:10.5pt;font-family:'CMR10';">add</span><span style="font-size:10.5pt;font-family:'宋体';">(</span><span style="font-size:10.5pt;font-family:'CMR10';">1,2</span><span style="font-size:10.5pt;font-family:'宋体';">),7)&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">的值为&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">7<span style="font-family:宋体;">。</span></span><span style="font-size:10.5pt;font-family:'宋体';"></span> </p> <span style="font-size:10.5pt;font-family:'宋体';">请你编写程序,</span><span style="font-size:10.5pt;font-family:'宋体';">对于给定的一组表达式,帮助&nbsp;</span><span style="font-size:10.5pt;font-family:'宋体';">Dr.Kong&nbsp;算出正确答案,以便校对卡多计算的正误</span><span style="font-size:10.5pt;font-family:'宋体';">。</span>
输入格式
第一行: N 表示要计算的表达式个数 (1≤ N ≤ 10) <br /> 接下来有N行, 每行是一个字符串,表示待求值的表达式<br /> (表达式中不会有多余的空格,每行不超过300个字符,表达式中出现的十进制数都不<br /> 超过1000。)
输出格式
输出有N行,每一行对应一个表达式的值。
样例
样例输入 1
3 add(1,2) max(1,999) add(min(1,1000),add(100,99))
样例输出 1
3 999 200
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