使用给定的括号打印平衡的括号表达式

给定四个整数a ， b ， c和d ，表示四种类型的括号的数量。

1. “((
2. “()”
3. “)(“
4. “))”

任务是使用所有给定的括号打印任何平衡的括号表达式。如果我们不能形成一个平衡的括号表达式，则输出-1 。如果有多个答案，请打印任何一个。

例子：

Input: a = 3, b = 1, c = 4, d = 3
Output: (((((()()()()())))))()

Input: a = 3, b = 1, c = 4, d = 8
Output: -1
No balanced bracket expression is possible with the given brackets.

方法：首先检查是否可以使用给定数量的括号形成平衡括号表达式。如果type1括号的数量等于type4括号的数量和任意type3括号的数量，或者如果只有type 2括号，则我们可以形成表达式。因此，合并条件将是：

(a == d && a) || (a == 0 && c == 0 && d == 0)

如果满足上述条件，可以按照以下步骤打印平衡括号表达式：

• 打印1型括号的数量。
• 打印3型括号的数量。
• 打印4型括号的数量。
• 打印2型括号的数量。

下面是上述方法的实现：

C++

// C++ implementation of the approach
#include 
using namespace std;
  
// Function to print balanced bracket
// expression if it is possible
void printBalancedExpression(int a, int b, int c, int d)
{
  
    // If the condition is met
    if ((a == d && a) || (a == 0 && c == 0 && d == 0)) {
  
        // Print brackets of type-1
        for (int i = 1; i <= a; i++)
            cout << "((";
  
        // Print brackets of type-3
        for (int i = 1; i <= c; i++)
            cout << ")(";
  
        // Print brackets of type-4
        for (int i = 1; i <= d; i++)
            cout << "))";
  
        // Print brackets of type-2
        for (int i = 1; i <= b; i++)
            cout << "()";
    }
  
    // If the condition is not met
    else
        cout << -1;
}
  
// Driver code
int main()
{
    int a = 3, b = 1, c = 4, d = 3;
    printBalancedExpression(a, b, c, d);
  
    return 0;
}

Java

// Java implementation of the above approach 
class GFG 
{ 
      
    // Function to print balanced bracket 
    // expression if it is possible 
    static void printBalancedExpression(int a, 
                            int b, int c, int d) 
    { 
      
        // If the condition is met 
        if (((a == d) && (a != 0)) || 
        ((a == 0) && (c == 0) && (d == 0))) 
        { 
      
            // Print brackets of type-1 
            for (int i = 1; i <= a; i++) 
                System.out.print("(("); 
      
            // Print brackets of type-3 
            for (int i = 1; i <= c; i++) 
                System.out.print(")("); 
      
            // Print brackets of type-4 
            for (int i = 1; i <= d; i++) 
                System.out.print("))"); 
      
            // Print brackets of type-2 
            for (int i = 1; i <= b; i++) 
                System.out.print("()"); 
        } 
      
        // If the condition is not met 
        else
            System.out.print(-1); 
    } 
      
    // Driver code 
    public static void main(String args[]) 
    { 
        int a = 3, b = 1, c = 4, d = 3; 
        printBalancedExpression(a, b, c, d); 
    } 
} 
  
// This code is contributed by Ryuga

Python3

# Python3 implementation of the approach
  
# Function to print balanced bracket
# expression if it is possible
def printBalancedExpression(a, b, c, d):
  
    # If the condition is met
    if ((a == d and a) or 
        (a == 0 and c == 0 and d == 0)): 
  
        # Print brackets of type-1
        for i in range(1, a + 1):
            print("((", end = "")
  
        # Print brackets of type-3
        for i in range(1, c + 1):
            print(")(", end = "")
  
        # Print brackets of type-4
        for i in range(1, d + 1):
            print("))", end = "")
  
        # Print brackets of type-2
        for i in range(1, b + 1):
            print("()", end = "")
      
    # If the condition is not met
    else:
        print("-1")
  
# Driver code
if __name__ == "__main__":
  
    a, b, c, d = 3, 1, 4, 3
    printBalancedExpression(a, b, c, d)
  
# This code is contributed by Rituraj Jain

C#

// C# implementation of the approach
using System;
  
class GFG
{
      
// Function to print balanced bracket
// expression if it is possible
static void printBalancedExpression(int a, 
                        int b, int c, int d)
{
  
    // If the condition is met
    if (((a == d) && (a != 0)) || 
       ((a == 0) && (c == 0) && (d == 0))) 
    {
  
        // Print brackets of type-1
        for (int i = 1; i <= a; i++)
            Console.Write("((");
  
        // Print brackets of type-3
        for (int i = 1; i <= c; i++)
            Console.Write(")(");
  
        // Print brackets of type-4
        for (int i = 1; i <= d; i++)
            Console.Write("))");
  
        // Print brackets of type-2
        for (int i = 1; i <= b; i++)
            Console.Write("()");
    }
  
    // If the condition is not met
    else
        Console.Write(-1);
}
  
// Driver code
public static void Main()
{
    int a = 3, b = 1, c = 4, d = 3;
    printBalancedExpression(a, b, c, d);
}
}
  
// This code is contributed by Akanksha Rai

输出：

(((((()()()()())))))()