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回溯法：避免无用判断，强化回溯代码的实现过程

题目的大意就是以字典序为准，排列字符串，但要保证一个字符串中不包含相邻的重复子串。

Problem Description

For example, the sequence ABACBCBAD is easy, since it contains an adjoining repetition of the subsequence CB. Other examples of easy sequences are:

BB
ABCDACABCAB
ABCDABCD

Some examples of hard sequences are:

D
DC
ABDAB
CBABCBA

Input

In order to provide the Quiz Master with a potentially unlimited source of questions you are asked to write a program that will read input lines that contain integers n and L (in that order), where n > 0 and L is in the range , and for each input line prints out the nth hard sequence (composed of letters drawn from the first L letters in the alphabet), in increasing alphabetical order (alphabetical ordering here corresponds to the normal ordering encountered in a dictionary), followed (on the next line) by the length of that sequence. The first sequence in this ordering is A. You may assume that for given n and L there do exist at least n hard sequences.

For example, with L = 3, the first 7 hard sequences are:

A
AB
ABA
ABAC
ABACA
ABACAB
ABACABA
As each sequence is potentially very long, split it into groups of four (4) characters separated by a space. If there are more than 16 such groups, please start a new line for the 17th group.

Therefore, if the integers 7 and 3 appear on an input line, the output lines produced should be


ABAC ABA
7
Input is terminated by a line containing two zeroes. Your program may assume a maximum sequence length of 80.

Sample Input

30 3

0 0

Sample Output

ABAC ABCA CBAB CABA CABC ACBA CABA

28

在判断当前字符串是否已经存在连续的重复子串，例如判断ABACABA是否包含连续重复子串，并不需要说检查该字符串所有长度为偶数的子串，仅需要做的是判断当前串的后缀。

另外对回溯法来说，一旦本次所要赋值的字符不满足，并且在循环了所有可以在这一次赋值的字符后，仍未满足，就要回溯到上一层，这种情况首先要保证成功次数不要增加（可以将次数设置为全局变量，当然进行完这一组数据后，要记得重新赋值，避免后面的测试数据出现问题，通常全局变量都要在完成一组数据测试后，重新赋初始值）

代码如下

#include<iostream>
#include<cstdio>
#include<cstring>
#define MAXN 200
using namespace std;
char alp[MAXN]="AABCDEFGHIJKLMNOPQRSTUVWXYZ";//首先打表方便后面的操作
char ch[MAXN]="#";//处理一个小的细节，当第一个字符时，其实不需要判断前面的字符，为了统一操作，在ch[0]处赋一个与第一个字符一定不同的量
int c=0;
bool tag=false;//全局变量，完成字符串的标志
void dfs(int n,int t,int cur)
{
    int i,j,k=1,m,s;
    bool flag=true;
    if(n==c)//以次数作为完成的标志
    {
        while(k<=cur-1)
        {
            if(k==65)
                cout<<endl;
            if(k%4==0&&k!=64&&k!=cur-1)//处理格式要求
                cout<<ch[k]<<‘ ‘;
            else
                cout<<ch[k];
            k++;
        }
        cout<<endl;
        cout<<cur-1<<endl;
        tag=true;//以标示符作为字符串完成的标志
    }
    else
    {
        for(i=1;i<=t;i++)//循环此次可以赋值的字符
        {
            flag=true;
            ch[cur]=alp[i];
            for(j=cur/2;j<=cur-1;j++)//字符串判重
            {
                s=0;
                m=cur-j-1;
                for(k=0;k<=m;k++)
                {
                    if(ch[cur-k]==ch[j-k])
                        s++;
                }
                if(s==m+1)
                {
                    flag=false;
                    break;
                }
            }
            if(flag==false)
                continue;
            if(!tag)
            {
                c++;
                dfs(n,t,cur+1);//满足，则字符的长度加一，这也满足字典序的要求，若回溯到这里，那么即回头继续循环可以满足的字符，相当于说字符长度加一个不满足，那么前一个字符往后改，就如同从ABC->ABD(原本要走ABCD的)
            }
            if(tag)
            {
              //  cout<<"return ";
                return ;//若已完成则一步步回头
            }
        }
    }
}
int main()
{
    int n,l;
    while(cin>>n>>l)
    {
        if(n==0&&l==0)
            break;
        else
            dfs(n,l,1);
        tag=false;//全局变量重新赋初始值
        c=0;// 全局变量重新赋初始值
    }
    return 0;
}

HDU 1627 Krypton Factor

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原文地址：http://www.cnblogs.com/fancy-itlife/p/4297090.html