UVA The Sultan's Successors

题目如下:

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,白书上有详细讲解。这里不过是多了一个求所在格子数的和的最大值,只需求出一种情况后维护最大值即可。

AC的代码如下:

UVA The Sultan's Successors

时间: 2024-08-07 15:54:30

UVA The Sultan's Successors的相关文章

UVA The Sultan's Successors (八皇后问题)

 The Sultan's Successors  The Sultan of Nubia has no children, so she has decided that the country will be split into up to k separate parts on her death and each part will be inherited by whoever performs best at some test. It is possible for any in

The Sultan's Successors UVA - 167

the squares thus selected sum to a number at least as high as one already chosen by the Sultan. (For those unfamiliar with the rules of chess, this implies that each row and column of the board contains exactly one queen, and each diagonal contains n

The Sultan's Successors UVA 167(八皇后问题)

说说: 其实这道题本质上就是一个八皇后问题.唯一的区别就是每个棋盘的格子都对应一个数字.最后要求输出,对应的解占据的格子的和的最大值.这只要在最后求出解的时候统计一下就可以了.下面就简单的说说八皇后问题,其实解法也不难.因为要求每行每列都要有棋子.因此只要确定每一行对应的棋子的列数就可以了.而对于每个棋子的所放的位置,同列上和对角线上不能有其他棋子,这个只要设一个访问数组保存一下就可以了.(注意要记得回溯).至于对角线的表示方法,例如所在位置为(x,y),那么一条对角线可以用x+y表示,另一条对

Uva 167 The Sultan's Successors

题目链接:Uva 167 思路:     八皇后问题,采用回溯法解决问题. 代码: #include <iostream> #include <string.h> using namespace std; const int MAX_N = 10; int A[MAX_N]; int M[MAX_N][MAX_N]; int num, Max = 0; int is_safe( int row, int col ) { for ( int i = 0; i < row; ++

uva 167 - The Sultan&amp;#39;s Successors(典型的八皇后问题)

这道题是典型的八皇后问题,刘汝佳书上有具体的解说. 代码的实现例如以下: #include <stdio.h> #include <string.h> #include <stdlib.h> int vis[100][100];//刚開始wrong的原因就是这里数组开小了,开了[8][8],以为可以.后来看到[cur-i+8]意识到可能数组开小了.改大之后AC. int a[8][8]; int C[10]; int max_,tot; void search_(int

UVA题目分类

题目 Volume 0. Getting Started 开始10055 - Hashmat the Brave Warrior 10071 - Back to High School Physics 10300 - Ecological Premium 458 - The Decoder 494 - Kindergarten Counting Game 414 - Machined Surfaces 490 - Rotating Sentences 445 - Marvelous Mazes

UVA - 11604 General Sultan 题解

题目大意: 有若干模式串,将某些模式串拼接起来(一个可以使用多次)形成一个长模式串,判断能否有两种或更多种不同的拼法拼成相同的模式串. 思路: 神奇的构图,暴力的求解. 可以发现,若有不同的拼法,则一个模式串的前缀要与一个模式串的后缀相同. 因此我们就将问题转化成:从两个模式串开始,不停的按照前后缀匹配,最后达到两个串同时在一个点结束. 那么,将每一个串的每一个字符都看作一个点,n2len2暴力枚举i串从z开始的后缀和j串(自己也可以,但不能让前缀是其本身)的前缀做匹配,看是否能将其中一个串匹配

UVA - 11604 General Sultan(构图暴力)

题目大意:给出n个字符串(01串),问是否存在一个二进制序列,存在至少两种编码方式 比如{a = 01011111, b = 0101, c = 1111010, d = 010} 二进制序列01011111010就有两种编码方式了,可以由a+d组成,也可以由b+c+d组成(注意这里的二进制序列不是指所给的武器的二进制序列,刚开始没理解..被坑了) 解题思路:这样就比较好理解了,字符串匹配,不断的匹配 首先为每个字符都构建一个点,那怎么连边呢? 找匹配的部分进行连边,假设有两个字符串i,j,现在

UVA - 10537 The Toll! Revisited (最短路变形逆推)

Description Problem G Toll! Revisited Input: Standard Input Output: Standard Output Time Limit: 1 Second Sindbad the Sailor sold 66 silver spoons to the Sultan of Samarkand. The selling was quite easy; but delivering was complicated. The items were t