类似于bzoj1706,考虑到楼层是等价的
我们令f[p,i,j]为用了2^p次电梯,从房间i到j最多上升了多少层
然后从2^p很容易推到2^(p+1),类似于floyd的转移即可
下面我们要用最小的电梯次数
可以考虑每一个数都有其唯一的而二进制拆分
从p到0贪心得到一个最接近上了m层的次数ans,ans+1即为答案

 1 const inf=-1000000000000000000;
 2 var f:array[0..64,0..100,0..100] of int64;
 3     w,v:array[0..100] of int64;
 4     e,t,i,j,k,n,p,h:longint;
 5     fl:boolean;
 6     ans,m:int64;
 7 
 8 function max(a,b:int64):int64;
 9   begin
10     if a>b then exit(a) else exit(b);
11   end;
12 
13 function check(p:longint):boolean;
14   var i:longint;
15   begin
16     for i:=1 to n do
17       if f[p,1,i]>=m then exit(true);
18     exit(false);
19   end;
20 
21 begin
22   readln(t);
23   for e:=1 to t do
24   begin
25     readln(n,m);
26     for i:=1 to n do
27     begin
28       for j:=1 to n do
29       begin
30         read(f[0,i,j]);
31         if f[0,i,j]=0 then f[0,i,j]:=inf;
32       end;
33       readln;
34     end;
35     p:=0;
36     while true do
37     begin
38       for i:=1 to n do
39         for j:=1 to n do
40         begin
41           f[p+1,i,j]:=inf;
42           for k:=1 to n do
43           begin
44             f[p+1,i,j]:=max(f[p+1,i,j],f[p,i,k]+f[p,k,j]);
45             if f[p+1,i,j]>m then  
46             begin
47               f[p+1,i,j]:=m;
48               break;
49             end;
50           end;
51         end;
52       if not check(p+1) then inc(p)  //出现了从房间1到某房间最大上升层数大于m就不用往下穷举了
53       else break;
54     end;
55     w[1]:=0;
56     for i:=2 to n do
57       w[i]:=inf;  //w表示在当前所用次数下到i号房间最大上升层数层数
58     ans:=0;
59     for h:=p downto 0 do
60     begin
61       fl:=true;
62       for i:=1 to n do
63       begin
64         for j:=1 to n do
65           if w[i]+f[h,i,j]>=m then
66           begin
67             fl:=false;
68             break;
69           end;
70         if not fl then break;
71       end;
72       if fl then
73       begin
74         ans:=ans+int64(1) shl h;
75         for i:=1 to n do
76           v[i]:=inf;
77         for i:=1 to n do
78           for j:=1 to n do
79             v[j]:=max(v[j],w[i]+f[h,i,j]);
80         w:=v;
81       end;
82     end;
83     writeln(ans+1);
84   end;
85 end.
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posted on 2015-01-16 23:15  acphile  阅读(214)  评论(0编辑  收藏  举报