#P2426. 工厂选址

工厂选址

题目描述

某地区有m座煤矿,其中第i号矿每年产量为ai吨,现有火力发电厂一个,每年需用煤b吨,每年运行的固定费用(包括折旧费,不包括煤的运费)为h元,每吨原煤从第i号矿运到原有发电厂的运费为Ci0(i=1,2,…,m)。

<span lang="RU" style="mso-fareast-font-family:

宋体;mso-fareast-language:ZH-CN"> <o:p>   </o:p></span>

</p>

现规划新建一个发电厂,m座煤矿每年开采的原煤将全部供给这两座发电厂。现有n个备选的厂址。若在第j号备选厂址建新厂,每年运行的固定费用为hj元。每吨原煤从第i号矿运到j号备选厂址的运费为Cij(i=1,2,…,m;j=1,2,…,n)。

<span lang="RU" style="mso-fareast-font-family:

宋体;mso-fareast-language:ZH-CN"> <o:p>   </o:p></span>

</p>

试问:应把新厂厂址选取在何处?m座煤矿开采的原煤应如何分配给两个发电厂,才能使每年的总费用(发电厂运行费用与原煤运费之和)为最小。 

输入格式

<p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第1行:      m  b  h  n <o:p></o:p></b>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第2行:      a1  a2 …  am </b><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman";mso-fareast-language:ZH-CN">(</span>0<=ai<=500, a1+a2+...+an>=b</b><span style="font-family:宋体;mso-ascii-font-family:

"Times New Roman";mso-hansi-font-family:"Times New Roman";mso-fareast-language:

ZH-CN">)</span></b> <o:p></o:p>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第3行:      h1  h2 …  hn </b><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman";mso-fareast-language:ZH-CN">(</span>0<=hi<=100</b><span style="font-family:宋体;mso-ascii-font-family:

"Times New Roman";mso-hansi-font-family:"Times New Roman";mso-fareast-language:

ZH-CN">)</span></b> <o:p></o:p>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第4行:      C10 C20 … Cm0 </b><span style="font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:

"Times New Roman";mso-fareast-language:ZH-CN">(</span>0<=Cij<=50</b><span style="font-family:宋体;mso-ascii-font-family:

"Times New Roman";mso-hansi-font-family:"Times New Roman";mso-fareast-language:

ZH-CN">)</span> <o:p></o:p></b>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第5行:      C11 C21 … Cm1 <o:p></o:p></b>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">                              …   … <o:p></o:p></b>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal"></b>n+4行:C1n C2n … Cmn <o:p></o:p>

</p>

输出格式

<p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第1行:新厂址编号,如果有多个编号满足要求,输出最小的。 <o:p></o:p></b>

</p> <p class="MsoNormal" style="margin-left:12.0pt;mso-para-margin-left:1.0gd;

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">第2行:总费用  <o:p></o:p></b>

</p>

4 2 7 9  3 1 10 3  6 3 7 1 10 2 7 4 9  1 2 4 3  6 6 8 2  4 10 8 4  10 2 9 2  7 6 6 2  9 3 7 1  2 1 6 9  3 1 10 9  4 2 1 8  2 1 3 4
8  49

数据范围与约定

<p class="MsoNormal" style="margin-left:24.0pt;mso-para-margin-left:2.0gd;<br />

text-align:justify;text-justify:inter-ideograph"><b style="mso-bidi-font-weight:

normal">对于所有数据, n<=50, m<=50000, b<=10000  <o:p></o:p></b>


</p>