UVA The Sultan's Successors

题目例如以下：

The Sultan's Successors 

The Sultan of Nubia has no children, so she has decided that thecountry will be split into up to k separate parts on her death andeach part will be inherited by whoever performs best at some test. Itis possible for any individual to inherit more than one or indeed allof the portions. To ensure that only highly intelligent peopleeventually become her successors, the Sultan has devised an ingenioustest. In a large hall filled with the splash of fountains and thedelicate scent of incense have been placed k chessboards. Eachchessboard has numbers in the range 1 to 99 written on each square andis supplied with 8 jewelled chess queens. The task facing eachpotential successor is to place the 8 queens on the chess board insuch a way that no queen threatens another one, and so that thenumbers on the squares thus selected sum to a number at least as highas one already chosen by the Sultan. (For those unfamiliar with therules of chess, this implies that each row and column of the boardcontains exactly one queen, and each diagonal contains no more thanone.)

Write a program that will read in the number and details of thechessboards and determine the highest scores possible for each boardunder these conditions. (You know that the Sultan is both a good chessplayer and a good mathematician and you suspect that her score is thebest attainable.)

Input

Input will consist of k (the number of boards), on a line by itself,followed by k sets of 64 numbers, each set consisting of eight linesof eight numbers. Each number will be a positive integer less than100. There will never be more than 20 boards.

Output

Output will consist of k numbers consisting of your k scores, eachscore on a line by itself and right justified in a field 5 characterswide.

Sample input

1
 1  2  3  4  5  6  7  8
 9 10 11 12 13 14 15 16
17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32
33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48
48 50 51 52 53 54 55 56
57 58 59 60 61 62 63 64

Sample output

  260

经典的八皇后问题，白书上有具体解说。这里只是是多了一个求所在格子数的和的最大值，仅仅需求出一种情况后维护最大值就可以。

AC的代码例如以下：