是否可以從給定字串形成長度不限的所有可能字串?


在本節中,我們將瞭解如何生成長度不限的所有可能字串,它將採用各種字元組合來生成字串。例如,如果字串為 ABC,則它會生成 − {A,B,C,AB,BA,BC,CB,CA,AC,ABC,ACB,BAC,BCA,CAB,CBA}

我們看一個例子來幫助理解。

演算法

printAllString(str)

Begin
   n := length of the string str
   count is 2^n – 1
   for each number 0 to count, do
      sub_str := empty string
      for j in range 0 to n, do
         if jth bit of the counter is set, then
            concatenate jth character of str with sub_str
         end if
      done
      repeat:
         print sub_string
      until next permutation of sub_string is not completed
   done
End

示例

#include <iostream>
#include <algorithm>
#include <cmath>
using namespace std;
void printAllString(string str) {
   int n = str.size();
   unsigned int count = pow(2, n);
   for (int counter = 1; counter <count; counter++) { //generate 2^n - 1 strings
      string subs = "";
      for (int j = 0; j < n; j++) {
         if (counter & (1<<j)) //when the jth bit is set, then add jth character
            subs.push_back(str[j]);
      }
      do{
         cout << subs << endl;
      }
      while (next_permutation(subs.begin(), subs.end()));
   }
}

輸出

A
B
AB
BA
C
AC
CA
BC
CB
ABC
ACB
BAC
BCA
CAB
CBA
D
AD
DA
BD
DB
ABD
ADB
BAD
BDA
DAB
DBA
CD
DC
ACD
ADC
CAD
CDA
DAC
DCA
BCD
BDC
CBD
CDB
DBC
DCB
ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
BACD
BADC
BCAD
BCDA
BDAC
BDCA
CABD
CADB
CBAD
CBDA
CDAB
CDBA
DABC
DACB
DBAC
DBCA
DCAB
DCBA

更新於: 31-7-2019

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