Time Limit:
3000 ms
Memory Limit:
10000 kB
Total Submit :
2
(1 user)
Accepted Submit :
2
(1 user)
Page View : 1582
本题其实并不难,就是记忆搜索,但是好多人都没做。最难的估计就是状态的存储,一开始的时候我用的是三维数组存储,虽然在TJU和NK上都过了,但是在北大上确实WRONG,后来我又重新开了一遍发现确实存在错误,后来将数组开到四维才在北大上顺利通过。因为本题我竟然成了NK上第一个提交此题并A的人。值得留念!
代码:
1 #include < stdio.h >
2 #include < string .h >
3 char end,str[ 15 ][ 10 ];
4 int n,dp[ 2050 ][ 10 ][ 10 ][ 10 ],mark[ 15 ],a[ 10 ];
5 int test( int sum, char u, char f, int c)
6 {
7 int term,i,j,min = 0xfffffff ;
8 if (dp[sum][u - ' A ' + 1 ][f - ' A ' + 1 ][end - ' A ' + 1 ] != 0 )
9 return dp[sum][u - ' A ' + 1 ][f - ' A ' + 1 ][end - ' A ' + 1 ];
10 if (c == n)
11 {
12 if (f == end)
13 return a[(f - ' A ' ) + 1 ];
14 return - 1 ;
15 }
16 for (i = 2 ;i <= n;i ++ )
17 {
18 if (mark[i])
19 continue ;
20 mark[i] = 1 ;
21 for (j = 0 ;j < 8 ;j ++ )
22 {
23 if (f == str[i][j])
24 {
25 term = test(sum - ( 1 << (i - 1 )),f,str[i][(j + 4 ) % 8 ],c + 1 );
26 dp[sum - ( 1 << (i - 1 ))][f - ' A ' + 1 ][str[i][(j + 4 ) % 8 ] - ' A ' + 1 ][end - ' A ' + 1 ] = term;
27 if (term !=- 1 )
28 {
29 if (term + a[f - ' A ' + 1 ] < min)
30 min = term + a[f - ' A ' + 1 ];
31 }
32 }
33 }
34 mark[i] = 0 ;
35 }
36 if (min == 0xfffffff )
37 return - 1 ;
38 return min;
39 }
40
41 int main()
42 {
43 int i,min,term,sum;
44 while (scanf( " %d " , & n) != EOF)
45 {
46 if (n == 0 )
47 break ;
48 min = 0xfffffff ;
49 memset(mark, 0 , sizeof (mark));
50 memset(dp, 0 , sizeof (dp));
51 for (i = 1 ;i <= 8 ;i ++ )
52 {
53 scanf( " %d " , & a[i]);
54 }
55 for (i = 1 ;i <= n;i ++ )
56 {
57 scanf( " %s " ,str[i]);
58 }
59 mark[ 1 ] = 1 ;
60 sum = ( 1 << n) - 1 ;
61 for (i = 0 ;i < 4 ;i ++ )
62 {
63 end = str[ 1 ][(i + 4 ) % 8 ];
64 term = test(sum - 1 ,str[ 1 ][(i + 4 ) % 8 ],str[ 1 ][i], 1 );
65 dp[sum - 1 ][end - ' A ' + 1 ][str[ 1 ][i] - ' A ' + 1 ][end - ' A ' + 1 ] = term;
66 if (term !=- 1 )
67 {
68 if (term < min)
69 min = term;
70 }
71 }
72 if (min != 0xfffffff )
73 {
74 printf( " %d\n " ,min);
75 }
76 else
77 printf( " impossible\n " );
78 }
79 return 0 ;
80 }
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