solution.cpp

class Solution {
public:
    // Function to multiply two numbers represented as strings
string multiply(string num1, string num2) {
    // If either number is zero, the result is "0"
    if (num1 == "0" || num2 == "0") return "0";

    int n = num1.size();
    int m = num2.size();

    // Result vector to store the product (maximum length is n + m)
    vector<int> result(n + m, 0);

    // Multiply each digit of num1 with each digit of num2
    for (int i = n - 1; i >= 0; --i) {
        for (int j = m - 1; j >= 0; --j) {
            int mul = (num1[i] - '0') * (num2[j] - '0'); // Multiply digits

            int sum = mul + result[i + j + 1];  // Add to the existing result (carry handled)

            result[i + j + 1] = sum % 10;  // Store the current digit
            result[i + j] += sum / 10;     // Handle carry over to the next digit
        }
    }

    // Convert result vector to a string, skipping leading zeros
    string product = "";
    for (int num : result) {
        if (!(product.empty() && num == 0)) { // Skip leading zeros
            product += to_string(num);
        }
    }

    return product.empty() ? "0" : product;
}


};