Valid Parentheses
Valid Parentheses checks whether every opening bracket is closed by the matching bracket in the correct nesting order. A stack models that nesting naturally.
Beginne mit diesem mentalen Modell
Valid Parentheses checks whether every opening bracket is closed by the matching bracket in the correct nesting order. A stack models that nesting naturally.
So funktioniert es – ohne unnötigen Jargon
Push opening brackets.
For each closing bracket, pop and verify that it matches. At the end the stack must be empty.
Lies den Algorithmus als Folge von Entscheidungen
Restate constraints and edge cases.
Identify the pattern and invariant.
Walk through a small example before coding.
Read a tiny input by hand and write down the state after every important operation. For Valid Parentheses, the goal is to make the invariant visible rather than to memorize code.
function isValid(input) {
const match = { ")": "(", "]": "[", "}": "{" };
const stack = [];
for (const ch of input) {
if ("([{ ".includes(ch) && ch !== " ") stack.push(ch);
else if (match[ch] && stack.pop() !== match[ch]) return false;
}
return stack.length === 0;
}Lerne die Syntax nicht auswendig. Folge dem Zustand, der sich in jeder Zeile ändert, und verbinde ihn mit der oben beschriebenen Invariante.
Varies by implementation / input constraints
Do not quote this complexity mechanically. Ask which operation or input dimension it describes, then derive the cost from the loops, recursion depth, data-structure operations and any preprocessing assumptions.
Gut geeignet
- Use the recognized pattern when its invariant matches the problem constraints.
Was typischerweise schiefgeht
- Jumping to code before defining the invariant.
- Optimizing before producing a correct baseline.
Struktur einer professionellen Antwort
This is a classic example of choosing a data structure from the problem's structure: nested last-opened-first-closed behavior directly implies a stack.
What problem does Valid Parentheses solve?
Valid Parentheses checks whether every opening bracket is closed by the matching bracket in the correct nesting order. A stack models that nesting naturally.
Was sollte ich zur Komplexität erwähnen?
Its typical cost here is Varies by implementation / input constraints, but a complete answer should connect that cost to the representation, input constraints and the dominant operations.
Was ist der häufigste Fehler?
Jumping to code before defining the invariant.