Certainly, here's a simple algorithm to check for balanced symbols, such as parentheses, square brackets, and curly braces in an expression:
Algorithm to check for balanced symbols:
1. Create an empty stack.
2. Iterate through each character in the expression.
3. If the character is an opening symbol (e.g., '(', '[', '{'), push it onto the stack.
4. If the character is a closing symbol (')', ']', '}'):
- Check if the stack is empty. If it is, return "Unbalanced".
- Pop the top element from the stack.
- If the popped opening symbol does not match the current closing symbol, return "Unbalanced".
5. After the iteration, if the stack is not empty, return "Unbalanced".
6. If the stack is empty, return "Balanced".
Pseudocode:
function isBalanced(expression):
Create an empty stack
For each character in the expression:
if character is an opening symbol ('(', '[', '{'):
push character onto the stack
else if character is a closing symbol (')', ']', '}'):
if stack is empty:
return "Unbalanced"
top = stack.pop()
if (top does not match character):
return "Unbalanced"
if stack is not empty:
return "Unbalanced"
else:
return "Balanced"
This algorithm checks whether the symbols in the expression are balanced. If the count of opening and closing symbols is not equal or if the sequence of symbols is incorrect (e.g., opening and closing symbols mismatch), it returns "Unbalanced".
