Givet en streng Find alle måder at bryde den givne streng i bracket -form. Vedlæg hver substring inden for en parentes.
partielle derivater i latex
Eksempler:
Input : abc Output: (a)(b)(c) (a)(bc) (ab)(c) (abc) Input : abcd Output : (a)(b)(c)(d) (a)(b)(cd) (a)(bc)(d) (a)(bcd) (ab)(c)(d) (ab)(cd) (abc)(d) (abcd)
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Ideen er at bruge rekursion. Vi opretholder to parametre - indeks for den næste karakter, der skal behandles, og outputstrengen indtil videre. Vi starter fra indeks for næste karakter, der skal behandles tilsættende substring dannet af uforarbejdet streng til outputstrengen og recurse på den resterende streng, indtil vi behandler hele strengen. Vi bruger STD :: Substr til at danne outputstrengen. Substr (POS N) returnerer en substring af længde N, der starter ved position POS for den nuværende streng.
sql datatyper
Nedenfor diagram viser rekursionstræ til inputstreng 'ABC'. Hver knude på diagrammet viser behandlet streng (markeret med grøn) og uforarbejdet streng (markeret med rødt).
Nedenfor er implementeringen af ovenstående idé
selen grundlæggendeC++
// C++ Program to find all combinations of Non- // overlapping substrings formed from given // string #include
// Java program to find all combinations of Non- // overlapping substrings formed from given // string class GFG { // find all combinations of non-overlapping // substrings formed by input string str static void findCombinations(String str int index String out) { if (index == str.length()) System.out.println(out); for (int i = index; i < str.length(); i++) // append substring formed by str[index // i] to output string findCombinations(str i + 1 out + '(' + str.substring(index i+1) + ')' ); } // Driver Code public static void main (String[] args) { // input string String str = 'abcd'; findCombinations(str 0 ''); } } // Contributed by Pramod Kumar
# Python3 Program to find all combinations of Non- # overlapping substrings formed from given # string # find all combinations of non-overlapping # substrings formed by input string str # index – index of the next character to # be processed # out - output string so far def findCombinations(string index out): if index == len(string): print(out) for i in range(index len(string) 1): # append substring formed by str[index # i] to output string findCombinations(string i + 1 out + '(' + string[index:i + 1] + ')') # Driver Code if __name__ == '__main__': # input string string = 'abcd' findCombinations(string 0 '') # This code is contributed by # sanjeev2552
// C# program to find all combinations // of Non-overlapping substrings formed // from given string using System; class GFG { // find all combinations of non-overlapping // substrings formed by input string str public static void findCombinations(string str int index string @out) { if (index == str.Length) { Console.WriteLine(@out); } for (int i = index; i < str.Length; i++) { // append substring formed by // str[index i] to output string findCombinations( str i + 1 @out + '(' + str.Substring(index (i + 1) - index) + ')'); } } // Driver Code public static void Main(string[] args) { // input string string str = 'abcd'; findCombinations(str 0 ''); } } // This code is contributed by Shrikant13
// Javascript program for the above approach // find all combinations of non-overlapping // substrings formed by input string str // index – index of the next character to // be processed // out - output string so far function findCombinations(string index out) { if (index == string.length) { console.log(out); } for (let i = index; i < string.length; i++) { // append substring formed by str[index // i] to output string findCombinations(string i + 1 out + '(' + string.substring(index i + 1) + ')'); } } // Driver Code const string = 'abcd'; findCombinations(string 0 ''); // contributed by adityasharmadev01
Produktion
(a)(b)(c)(d) (a)(b)(cd) (a)(bc)(d) (a)(bcd) (ab)(c)(d) (ab)(cd) (abc)(d) (abcd)
Tidskompleksitet: o (n2)
Hjælpeplads: o (n2)