/*
This is an implementation that demonstrates
how to efficiently multiply two int numbers
that are represented as strings.
Let M be the number of digits in first
and N the number of digits in second.
Time complexity: O(M*N)
Space complexity: O(M+N)
*/
public class MultiplyStrings {
public static void main(String[] args) {
String num1 = "123", num2 = "456";
System.out.println(multiply(num1, num2)); // 56088
}
private static String multiply(String num1, String num2) {
// If either is 0, return 0
if (num1.equals("0") || num2.equals("0")) {
return "0";
}
// Convert the numbers into StringBuilder objects
StringBuilder firstNum = new StringBuilder(num1);
StringBuilder secondNum = new StringBuilder(num2);
// Reverse both numbers before performing the multiplication
firstNum.reverse();
secondNum.reverse();
// Create answer variable as placeholder for
// multiplication of each digit of firstNum with secondNum
int N = firstNum.length() + secondNum.length();
StringBuilder answer = new StringBuilder();
for (int i = 0; i < N; i++) {
answer.append("0");
}
int digit1, digit2;
for (int place2 = 0; place2 < secondNum.length(); place2++) {
digit2 = secondNum.charAt(place2) - '0';
// Multiply current digit2 by all digits in firstNum
for (int place1 = 0; place1 < firstNum.length(); place1++) {
digit1 = firstNum.charAt(place1) - '0';
// Current position in answer depends on place
// of digit2 and place of digit1
int currentPos = place1 + place2;
// Digit currently at position currentPos is carried over
// and summed with current result
int carry = answer.charAt(currentPos) - '0';
int product = digit1 * digit2 + carry;
// Set the ones place of product
answer.setCharAt(currentPos, (char) (product % 10 + '0'));
// Add the carry to next position
int value = (answer.charAt(currentPos + 1) - '0') +
product / 10;
answer.setCharAt(currentPos + 1, (char) (value + '0'));
}
}
// Remove excess 0 from the rear of the answer
if (answer.charAt(answer.length() - 1) == '0') {
answer.deleteCharAt(answer.length() - 1);
}
answer.reverse();
return answer.toString();
}
}
2*'string'
class Solution {
public:
string multiply(string num1, string num2) {
}
};
class Solution {
public String multiply(String num1, String num2) {
}
}
char * multiply(char * num1, char * num2){
}
public class Solution {
public string Multiply(string num1, string num2) {
}
}
/**
* @param {string} num1
* @param {string} num2
* @return {string}
*/
var multiply = function(num1, num2) {
};
# @param {String} num1
# @param {String} num2
# @return {String}
def multiply(num1, num2)
end
class Solution {
func multiply(_ num1: String, _ num2: String) -> String {
}
}
class Solution {
/**
* @param String $num1
* @param String $num2
* @return String
*/
function multiply($num1, $num2) {
}
}
function multiply(num1: string, num2: string): string {
};