例題:
輸入一串字符串,將該字符串中的字符元素進行全排列,然后,一串輸出結果。
例如:
輸入:
ABCD
輸出:
ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
BACD
BADC
BCAD
BCDA
BDAC
BDCA
CABD
CADB
CBAD
CBDA
CDAB
CDBA
DABC
DACB
DBCA
DBAC
DCAB
DCBA
代碼如下:
import java.util.Scanner;
public class pailie {public static void sq(char data[], int k) { if (k == data.length) {for (int i = 0; i < data.length; i++) {System.out.print(data[i] + " ");}System.out.println();}for (int i = k; i < data.length; i++) { {char temp = data[k]; data[k] = data[i];data[i] = temp;}sq(data, k + 1);{char temp = data[k];data[k] = data[i];data[i] = temp;}}
}public static void main(String[] args) {String yy ;Scanner qq = new Scanner(System.in);yy = qq.next();char data[] = yy.toCharArray();sq(data, 0); }
}
根據數學的遞推方法:
當n=1時:A
有一種:A
11;
當n=2時:AB
有二種;AB、BA
21;
當n=3時:ABC
有六種:ABC、ACB、BAC、BCA、CAB、CBA
321
…
以此類推:
當n=n時:ABCDE…
有n*(n-1)(n-2)…*1種