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feat: add solutions to lc problems: No.0043,0415 #2141

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148 changes: 76 additions & 72 deletions solution/0000-0099/0043.Multiply Strings/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -149,97 +149,60 @@ public:

```go
func multiply(num1 string, num2 string) string {
if num1 == "0" || num2 == "0" {
return "0"
}
m, n := len(num1), len(num2)
res := make([]int, m+n)
mul := func(b, i int) {
for j, t := m-1, 0; j >= 0 || t > 0; i, j = i+1, j-1 {
if j >= 0 {
a := int(num1[j] - '0')
t += a * b
}
res[i] += t % 10
if res[i] >= 10 {
res[i] %= 10
res[i+1]++
}
t /= 10
arr := make([]int, m+n)
for i := m - 1; i >= 0; i-- {
a := int(num1[i] - '0')
for j := n - 1; j >= 0; j-- {
b := int(num2[j] - '0')
arr[i+j+1] += a * b
}
}
for i := 0; i < n; i++ {
b := num2[n-1-i] - '0'
mul(int(b), i)
}
var ans []byte
for _, v := range res {
ans = append(ans, byte(v+'0'))
for i := len(arr) - 1; i > 0; i-- {
arr[i-1] += arr[i] / 10
arr[i] %= 10
}
for len(ans) > 1 && ans[len(ans)-1] == '0' {
ans = ans[:len(ans)-1]
i := 0
if arr[0] == 0 {
i = 1
}
for i, j := 0, len(ans)-1; i < j; i, j = i+1, j-1 {
ans[i], ans[j] = ans[j], ans[i]
ans := []byte{}
for ; i < len(arr); i++ {
ans = append(ans, byte('0'+arr[i]))
}
return string(ans)
}
```

### **TypeScript**

```ts
function multiply(num1: string, num2: string): string {
if ([num1, num2].includes('0')) return '0';
const n1 = num1.length,
n2 = num2.length;
let ans = '';
for (let i = 0; i < n1; i++) {
let cur1 = parseInt(num1.charAt(n1 - i - 1), 10);
let sum = '';
for (let j = 0; j < n2; j++) {
let cur2 = parseInt(num2.charAt(n2 - j - 1), 10);
sum = addString(sum, cur1 * cur2 + '0'.repeat(j));
}
ans = addString(ans, sum + '0'.repeat(i));
}
return ans;
}

function addString(s1: string, s2: string): string {
const n1 = s1.length,
n2 = s2.length;
let ans = [];
let sum = 0;
for (let i = 0; i < n1 || i < n2 || sum > 0; i++) {
let num1 = i < n1 ? parseInt(s1.charAt(n1 - i - 1), 10) : 0;
let num2 = i < n2 ? parseInt(s2.charAt(n2 - i - 1), 10) : 0;
sum += num1 + num2;
ans.unshift(sum % 10);
sum = Math.floor(sum / 10);
}
return ans.join('');
}
```

```ts
function multiply(num1: string, num2: string): string {
if (num1 === '0' || num2 === '0') {
return '0';
}

const n = num1.length;
const m = num2.length;
const res = [];
for (let i = 0; i < n; i++) {
const a = Number(num1[n - i - 1]);
let sum = 0;
for (let j = 0; j < m || sum !== 0; j++) {
const b = Number(num2[m - j - 1] ?? 0);
sum += a * b + (res[i + j] ?? 0);
res[i + j] = sum % 10;
sum = Math.floor(sum / 10);
const m: number = num1.length;
const n: number = num2.length;
const arr: number[] = Array(m + n).fill(0);
for (let i: number = m - 1; i >= 0; i--) {
const a: number = +num1[i];
for (let j: number = n - 1; j >= 0; j--) {
const b: number = +num2[j];
arr[i + j + 1] += a * b;
}
}

return res.reverse().join('');
for (let i: number = arr.length - 1; i > 0; i--) {
arr[i - 1] += Math.floor(arr[i] / 10);
arr[i] %= 10;
}
let i: number = 0;
while (i < arr.length && arr[i] === 0) {
i++;
}
return arr.slice(i).join('');
}
```

Expand Down Expand Up @@ -277,6 +240,47 @@ impl Solution {
}
```

### **C#**

```cs
public class Solution {
public string Multiply(string num1, string num2) {
if (num1 == "0" || num2 == "0") {
return "0";
}

int m = num1.Length;
int n = num2.Length;
int[] arr = new int[m + n];

for (int i = m - 1; i >= 0; i--) {
int a = num1[i] - '0';
for (int j = n - 1; j >= 0; j--) {
int b = num2[j] - '0';
arr[i + j + 1] += a * b;
}
}

for (int i = arr.Length - 1; i > 0; i--) {
arr[i - 1] += arr[i] / 10;
arr[i] %= 10;
}

int index = 0;
while (index < arr.Length && arr[index] == 0) {
index++;
}

StringBuilder ans = new StringBuilder();
for (; index < arr.Length; index++) {
ans.Append(arr[index]);
}

return ans.ToString();
}
}
```

### **...**

```
Expand Down
106 changes: 58 additions & 48 deletions solution/0000-0099/0043.Multiply Strings/README_EN.md
Original file line number Diff line number Diff line change
Expand Up @@ -164,61 +164,30 @@ func multiply(num1 string, num2 string) string {

### **TypeScript**

```ts
function multiply(num1: string, num2: string): string {
if ([num1, num2].includes('0')) return '0';
const n1 = num1.length,
n2 = num2.length;
let ans = '';
for (let i = 0; i < n1; i++) {
let cur1 = parseInt(num1.charAt(n1 - i - 1), 10);
let sum = '';
for (let j = 0; j < n2; j++) {
let cur2 = parseInt(num2.charAt(n2 - j - 1), 10);
sum = addString(sum, cur1 * cur2 + '0'.repeat(j));
}
ans = addString(ans, sum + '0'.repeat(i));
}
return ans;
}

function addString(s1: string, s2: string): string {
const n1 = s1.length,
n2 = s2.length;
let ans = [];
let sum = 0;
for (let i = 0; i < n1 || i < n2 || sum > 0; i++) {
let num1 = i < n1 ? parseInt(s1.charAt(n1 - i - 1), 10) : 0;
let num2 = i < n2 ? parseInt(s2.charAt(n2 - i - 1), 10) : 0;
sum += num1 + num2;
ans.unshift(sum % 10);
sum = Math.floor(sum / 10);
}
return ans.join('');
}
```

```ts
function multiply(num1: string, num2: string): string {
if (num1 === '0' || num2 === '0') {
return '0';
}

const n = num1.length;
const m = num2.length;
const res = [];
for (let i = 0; i < n; i++) {
const a = Number(num1[n - i - 1]);
let sum = 0;
for (let j = 0; j < m || sum !== 0; j++) {
const b = Number(num2[m - j - 1] ?? 0);
sum += a * b + (res[i + j] ?? 0);
res[i + j] = sum % 10;
sum = Math.floor(sum / 10);
const m: number = num1.length;
const n: number = num2.length;
const arr: number[] = Array(m + n).fill(0);
for (let i: number = m - 1; i >= 0; i--) {
const a: number = +num1[i];
for (let j: number = n - 1; j >= 0; j--) {
const b: number = +num2[j];
arr[i + j + 1] += a * b;
}
}

return res.reverse().join('');
for (let i: number = arr.length - 1; i > 0; i--) {
arr[i - 1] += Math.floor(arr[i] / 10);
arr[i] %= 10;
}
let i: number = 0;
while (i < arr.length && arr[i] === 0) {
i++;
}
return arr.slice(i).join('');
}
```

Expand Down Expand Up @@ -256,6 +225,47 @@ impl Solution {
}
```

### **C#**

```cs
public class Solution {
public string Multiply(string num1, string num2) {
if (num1 == "0" || num2 == "0") {
return "0";
}

int m = num1.Length;
int n = num2.Length;
int[] arr = new int[m + n];

for (int i = m - 1; i >= 0; i--) {
int a = num1[i] - '0';
for (int j = n - 1; j >= 0; j--) {
int b = num2[j] - '0';
arr[i + j + 1] += a * b;
}
}

for (int i = arr.Length - 1; i > 0; i--) {
arr[i - 1] += arr[i] / 10;
arr[i] %= 10;
}

int index = 0;
while (index < arr.Length && arr[index] == 0) {
index++;
}

StringBuilder ans = new StringBuilder();
for (; index < arr.Length; index++) {
ans.Append(arr[index]);
}

return ans.ToString();
}
}
```

### **...**

```
Expand Down
70 changes: 35 additions & 35 deletions solution/0000-0099/0043.Multiply Strings/Solution.cs
Original file line number Diff line number Diff line change
@@ -1,36 +1,36 @@
using System.Text;

public class Solution {
public string Multiply(string num1, string num2) {
var digits = new int[num1.Length + num2.Length];
for (var i = 0; i < num1.Length; ++i)
{
for (var j = 0; j < num2.Length; ++j)
{
var digit1 = num1[num1.Length - i - 1] - '0';
var digit2 = num2[num2.Length - j - 1] - '0';
var product = digit1 * digit2;
digits[i + j] += product;
}
}

var carry = 0;
for (var i = 0; i < digits.Length; ++i)
{
digits[i] += carry;
carry = digits[i] / 10;
digits[i] %= 10;
}

var sb = new StringBuilder();
for (var i = digits.Length - 1; i >= 0; --i)
{
if (digits[i] > 0 || sb.Length > 0)
{
sb.Append((char)(digits[i] + '0'));
}
}
if (sb.Length == 0) sb.Append('0');
return sb.ToString();
}
public class Solution {
public string Multiply(string num1, string num2) {
if (num1 == "0" || num2 == "0") {
return "0";
}
int m = num1.Length;
int n = num2.Length;
int[] arr = new int[m + n];
for (int i = m - 1; i >= 0; i--) {
int a = num1[i] - '0';
for (int j = n - 1; j >= 0; j--) {
int b = num2[j] - '0';
arr[i + j + 1] += a * b;
}
}
for (int i = arr.Length - 1; i > 0; i--) {
arr[i - 1] += arr[i] / 10;
arr[i] %= 10;
}
int index = 0;
while (index < arr.Length && arr[index] == 0) {
index++;
}
StringBuilder ans = new StringBuilder();
for (; index < arr.Length; index++) {
ans.Append(arr[index]);
}
return ans.ToString();
}
}
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