Java erzeugt Klammern alle Kombinationen
// Java program to print all the combinations of balanced
// parenthesis.
import java.util.*;
class GFG {
// function which generates all possible n pairs of
// balanced parentheses.
// open : count of the number of open parentheses used
// in generating the current string s. close : count of
// the number of closed parentheses used in generating
// the current string s. s : currently generated string/
// ans : a vector of strings to store all the valid
// parentheses.
public static void
generateParenthesis(int n, int open, int close,
String s, ArrayList<String> ans)
{
// if the count of both open and close parentheses
// reaches n, it means we have generated a valid
// parentheses. So, we add the currently generated
// string s to the final ans and return.
if (open == n && close == n) {
ans.add(s);
return;
}
// At any index i in the generation of the string s,
// we can put an open parentheses only if its count
// until that time is less than n.
if (open < n) {
generateParenthesis(n, open + 1, close, s + "{",
ans);
}
// At any index i in the generation of the string s,
// we can put a closed parentheses only if its count
// until that time is less than the count of open
// parentheses.
if (close < open) {
generateParenthesis(n, open, close + 1, s + "}",
ans);
}
}
public static void main(String[] args)
{
int n = 3;
// vector ans is created to store all the possible
// valid combinations of the parentheses.
ArrayList<String> ans = new ArrayList<>();
// initially we are passing the counts of open and
// close as 0, and the string s as an empty string.
generateParenthesis(n, 0, 0, "", ans);
// Now, here we print out all the combinations.
for (String s : ans) {
System.out.println(s);
}
}
}
// This code is contributed by ninja_hattori
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