Ch8.8: 8 queen problem

原创于 2014-02-02 08:15:41 发布 · 911 阅读

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本文介绍如何使用回溯法解决八皇后问题，并通过数组替代矩阵存储方式优化内存使用。详细步骤包括初始化数组、回溯算法实现以及输出解决方案。

In order to solve this problem efficiently,

need to use backtracking method instead of iterations. Aka: Backtracking is a general algorithm for finding all (or some) solutions to some computational problem, that incrementally builds candidates to the solutions, and abandons each partial candidate c ("backtracks") as soon as it determines that c cannot possibly be completed to a valid solution. 点击打开WIKI链接

Since all the queens can not be in same column, so use array[SIZE] to store instead of a 8x8 matrix. eg: arr[8]={1,2,3,4,5,6,7} means queen are in diagonal.

one solution can be this:

#include 
  
   
#include 
   
    
using namespace std;

const int SIZE=8;
        int arr[SIZE];
        int ok=0;

void print(){
    for(int i=0; i