# Palindrome Number - LC9

## Given an integer x, return true if x is a palindrome, and false otherwise.

# Question

Read the Question here Click Here

```
Input: x = 121
Output: true
Explanation: 121 reads as 121 from left to right and from right to left.
```

# Answer

```
class Solution {
public:
bool isPalindrome(int x) {
int oldNum=x;
int newNum=0;
while(0<x){
int temp=x%10;
newNum=newNum*10+temp;
x=x/10;
}
if (oldNum==newNum){
return true;
}
else{
return false;
}
}
};
```

Here we will reverse the number and check that the given number is equal to the new number. First, we need to store the old number in a variable as the variable `x`

will be 0 at last, so we are using `oldNum`

it as a variable to remember our given number. The variable `newNum`

is where our reverse number will be stored.

Now we will use a `while`

loop and check if the x is greater than 0 and run it till the x become 0. The variable `temp`

store the last number of the x, eg., given the number 121 then 121%10=1, 1 is stored in the `temp`

. After we get the temp then we move to the next line, here we are multiplying the `newNum`

with 10 and adding the last number which we stored in temp eg., `newNum`

= 0*10+1 -> `newNum`

= 1 and then we will remove the last number from the `x`

by dividing `x`

by 10. This loop continues till the x become 0.

Till this point new will get our reverse number which is stored in, now we just need to compare this with the `oldNum`

, if the number is the same then return true or else false.

```
Input : 121
x = 121
oldNum = 121
newNum = 0
Check if x is greater than 0 (0<121) β
temp = x % 10 = 1
newNum = (newNum * 10) + temp = (0*10) + 1 = 0 + 1 = 1
x = x / 10 = 121 / 10 = 12
x = 12
oldNum = 121
newNum = 1
Check if x is greater than 0 (0<12) β
temp = x % 10 = 12 % 10 = 2
newNum = (newNum * 10) + temp = (1*10) + 2 = 10 + 2 = 12
x = x / 10 = 12 / 10 = 1
x = 1
oldNum = 121
newNum = 12
Check if x is greater than 0 (0<1) β
temp = x % 10 = 1 % 10 = 1
newNum = (newNum * 10) + temp = (12*10) + 1 = 120 + 1 = 121
x = x / 10 = 1 / 10 = 0
x = 0
oldNum = 121
newNum = 121
Check if x is greater than 0 (0<0) β
check if oldNum is equal to newNum (121 == 121) β
return true
```