?? no11.htm
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color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>種飲料,對它作出相對評價,將一個數值</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>s</span></i><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>作為滿意度賦予第</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>種飲料。<span lang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;text-indent:20.0pt;mso-char-indent-count:2.0;mso-char-indent-size:10.0pt;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>通常,這個嬰兒都會盡量飲用具有最大滿意度值的飲料來最大限度地滿足她解渴的需要,但是不幸的是:具有最大滿意度值的飲料有時并沒有足夠的量來滿足此嬰兒解渴的需要。設</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>a</span></i><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>是第</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>種飲料的總量(以盎司為單位),而此嬰兒需要</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>t </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>盎司的飲料來解渴,那么,需要飲用</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>種不同的飲料各多少量才能滿足嬰兒解渴的需求呢?<spanlang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;text-indent:20.0pt;mso-char-indent-count:2.0;mso-char-indent-size:10.0pt;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>設各種飲料的滿意度已知。令</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>為嬰兒將要飲用的第</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>種飲料的量,則需要解決的問題是:<span lang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>找到一組實數</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>(</span><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>1</span><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>),使</span><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n </span></i><span lang=EN-US style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>å</span><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>= 1</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>s</span></i><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>最大,并滿足:</span><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n </span></i><span lang=EN-US style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>å</span><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>=1</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>=<i>t </i></span><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>及</span><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>0</span><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>a</span></i><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>。<span lang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;text-indent:20.0pt;mso-char-indent-count:2.0;mso-char-indent-size:10.0pt;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>需要指出的是:如果</span><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n </span></i><span lang=EN-US style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>å</span><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>= 1</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>a</span></i><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>< <i>t</i></span><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>,則不可能找到問題的求解方案,因為即使喝光所有的飲料也不能使嬰兒解渴。<span lang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;text-indent:20.0pt;mso-char-indent-count:2.0;mso-char-indent-size:10.0pt;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>對上述問題精確的數學描述明確地指出了程序必須完成的工作,根據這些數學公式,可以對輸入</span><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>/ </span><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>輸出作如下形式的描述:<spanlang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>輸入:</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>,</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>t</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>,</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>s</span></i><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>,</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>a</span></i><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>(其中</span><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>1</span><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>,</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>為整數,</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>t</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>、</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>s</span></i><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>、</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>a</span></i><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>為正實數)。<span lang=EN-US><o:p></o:p></span></span></p><p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>輸出:實數</span><i><span lang=EN-USstyle='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><spanstyle='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>(</span><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>1</span><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>≤</span><i><spanlang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n</span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>),使</span><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n </span></i><span lang=EN-US style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>å</span><i><span lang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i</span></i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>= 1</span><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>s</span></i><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><i><span lang=EN-US style='font-size:10.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>x</span></i><i><spanlang=EN-US style='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>i </span></i><span style='font-size:10.0pt;font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>最大且</span><i><span lang=EN-USstyle='font-size:5.0pt;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:0pt'>n </span></i><span lang=EN-US style='font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:仿宋_GB2312;color:black;mso-font-kerning:
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