String database[] = {'a', 'b', 'c'};
我想生成以下字符串序列的基础上，给出database。
a
b
c
aa
ab
ac
ba
bb
bc
ca
cb
cc
aaa
...
我只能想到一个漂亮的“虚拟”的解决方案。
public class JavaApplication21 {
/**
* @param args the command line arguments
*/
public static void main(String[] args) {
char[] database = {'a', 'b', 'c'};
String query = "a";
StringBuilder query_sb = new StringBuilder(query);
for (int a = 0; a < database.length; a++) {
query_sb.setCharAt(0, database[a]);
query = query_sb.toString();
System.out.println(query);
}
query = "aa";
query_sb = new StringBuilder(query);
for (int a = 0; a < database.length; a++) {
query_sb.setCharAt(0, database[a]);
for (int b = 0; b < database.length; b++) {
query_sb.setCharAt(1, database[b]);
query = query_sb.toString();
System.out.println(query);
}
}
query = "aaa";
query_sb = new StringBuilder(query);
for (int a = 0; a < database.length; a++) {
query_sb.setCharAt(0, database[a]);
for (int b = 0; b < database.length; b++) {
query_sb.setCharAt(1, database[b]);
for (int c = 0; c < database.length; c++) {
query_sb.setCharAt(2, database[c]);
query = query_sb.toString();
System.out.println(query);
}
}
}
}
}
该解决方案是非常愚蠢的。它不能扩展，能够在这个意义上，
database的大小？是否有任何智能的代码，它可以在一个非常聪明的方式产生规模，能排列组合的字符串？
您应该检查这个答案：Getting every possible permutation of a string or combination including repeated characters in Java
为了得到这个代码：
public static String[] getAllLists(String[] elements, int lengthOfList)
{
//lists of length 1 are just the original elements
if(lengthOfList == 1) return elements;
else {
//initialize our returned list with the number of elements calculated above
String[] allLists = new String[(int)Math.pow(elements.length, lengthOfList)];
//the recursion--get all lists of length 3, length 2, all the way up to 1
String[] allSublists = getAllLists(elements, lengthOfList - 1);
//append the sublists to each element
int arrayIndex = 0;
for(int i = 0; i < elements.length; i++){
for(int j = 0; j < allSublists.length; j++){
//add the newly appended combination to the list
allLists[arrayIndex] = elements[i] + allSublists[j];
arrayIndex++;
}
}
return allLists;
}
}
public static void main(String[] args){
String[] database = {"a","b","c"};
for(int i=1; i<=database.length; i++){
String[] result = getAllLists(database, i);
for(int j=0; j<result.length; j++){
System.out.println(result[j]);
}
}
}
尽管在存储器进一步改进可以作出，因为该解决方案产生所有溶液到第一存储器（阵列），才可以进行打印。但这个想法是一样的，这就是用递归算法。
这闻起来像在二进制计数：
我的第一本能是使用二进制计数器作为字符的“位图”，以产生那些可能的值。不过，也有一些精彩的回答到这里相关的问题是建议使用递归。看到
Java实现置换生成的： -
public class Permutations {
public static void permGen(char[] s,int i,int k,char[] buff) {
if(i<k) {
for(int j=0;j<s.length;j++) {
buff[i] = s[j];
permGen(s,i+1,k,buff);
}
}
else {
System.out.println(String.valueOf(buff));
}
}
public static void main(String[] args) {
char[] database = {'a', 'b', 'c'};
char[] buff = new char[database.length];
int k = database.length;
for(int i=1;i<=k;i++) {
permGen(database,0,i,buff);
}
}
}
好了，所以排列最好的解决办法是递归。假设您有字符串中的n个不同的字母。这将产生n个子问题，每个组开始与每一个独特的字母排列。创建一个将解决这些个别问题的方法permutationsWithPrefix(String thePrefix, String theString)。创建另一个方法listPermutations(String theString)一个实现会是这样的
void permutationsWithPrefix(String thePrefix, String theString) {
if ( !theString.length ) println(thePrefix + theString);
for(int i = 0; i < theString.length; i ++ ) {
char c = theString.charAt(i);
String workingOn = theString.subString(0, i) + theString.subString(i+1);
permutationsWithPrefix(prefix + c, workingOn);
}
}
void listPermutations(String theString) {
permutationsWithPrefix("", theString);
}
我碰到这个问题，作为面试问题之一。以下是我使用递归这一问题实施的解决方案。
public class PasswordCracker {
private List<String> doComputations(String inputString) {
List<String> totalList = new ArrayList<String>();
for (int i = 1; i <= inputString.length(); i++) {
totalList.addAll(getCombinationsPerLength(inputString, i));
}
return totalList;
}
private ArrayList<String> getCombinationsPerLength(
String inputString, int i) {
ArrayList<String> combinations = new ArrayList<String>();
if (i == 1) {
char [] charArray = inputString.toCharArray();
for (int j = 0; j < charArray.length; j++) {
combinations.add(((Character)charArray[j]).toString());
}
return combinations;
}
for (int j = 0; j < inputString.length(); j++) {
ArrayList<String> combs = getCombinationsPerLength(inputString, i-1);
for (String string : combs) {
combinations.add(inputString.charAt(j) + string);
}
}
return combinations;
}
public static void main(String args[]) {
String testString = "abc";
PasswordCracker crackerTest = new PasswordCracker();
System.out.println(crackerTest.doComputations(testString));
}
}
为寻找非递归的选项，这里是数字排列的样本（可以很容易地适应char numberOfAgents是列数和组数字是0到numberOfActions：
int numberOfAgents=5;
int numberOfActions = 8;
byte[][]combinations = new byte[(int)Math.pow(numberOfActions,numberOfAgents)][numberOfAgents];
// do each column separately
for (byte j = 0; j < numberOfAgents; j++) {
// for this column, repeat each option in the set 'reps' times
int reps = (int) Math.pow(numberOfActions, j);
// for each column, repeat the whole set of options until we reach the end
int counter=0;
while(counter<combinations.length) {
// for each option
for (byte i = 0; i < numberOfActions; i++) {
// save each option 'reps' times
for (int k = 0; k < reps; k++)
combinations[counter + i * reps + k][j] = i;
}
// increase counter by 'reps' times amount of actions
counter+=reps*numberOfActions;
}
}
// print
for(byte[] setOfActions : combinations) {
for (byte b : setOfActions)
System.out.print(b);
System.out.println();
}
// IF YOU NEED REPEATITION USE ARRAYLIST INSTEAD OF SET!!
import java.util.*;
public class Permutation {
public static void main(String[] args) {
Scanner in=new Scanner(System.in);
System.out.println("ENTER A STRING");
Set<String> se=find(in.nextLine());
System.out.println((se));
}
public static Set<String> find(String s)
{
Set<String> ss=new HashSet<String>();
if(s==null)
{
return null;
}
if(s.length()==0)
{
ss.add("");
}
else
{
char c=s.charAt(0);
String st=s.substring(1);
Set<String> qq=find(st);
for(String str:qq)
{
for(int i=0;i<=str.length();i++)
{
ss.add(comb(str,c,i));
}
}
}
return ss;
}
public static String comb(String s,char c,int i)
{
String start=s.substring(0,i);
String end=s.substring(i);
return start+c+end;
}
}
// IF YOU NEED REPEATITION USE ARRAYLIST INSTEAD OF SET!!