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# Add One Problem Statement

Given a non-negative number as an integer array `digits`, where `digits[i]` represents `ith` digit of the given number. Add one to the number and return its digits array.

## Example One

``````{
"digits": "[4, 5, 6]"
}
``````

Output:

``````[4, 5, 7]
``````

number = 456
number + 1 = 457

## Example Two

``````{
"digits": "[9, 9]"
}
``````

Output:

``````[1, 0, 0]
``````

## Notes

• The digits are ordered from most significant to least significant in left-to-right order.
• The given number does not contain any leading zeros.

Constraints:

• 1 <= size of the `digits` array <= 104
• 0 <= any element of the `digits` array <= 9

## Code For Add One Solution: Iterative

``````
/*
Asymptotic complexity in terms of length of the given list \`n\`:
* Time: O(n).
* Auxiliary space: O(1).
* Total space: O(n).
*/

vector<int> add_one(vector<int> digits) {
int n = digits.size();

int carry = 1;
for(int i = digits.size() - 1; i >= 0; i--){
int sum = digits[i] + carry;
carry = (sum >= 10) ? 1 : 0;
digits[i] = sum % 10;
}

if(carry != 0) {
// if carry is not zero append it to the beginning
digits.insert(digits.begin(), 1);
}
return digits;
}
``````

We hope that these solutions to the add one problem have helped you level up your coding skills. You can expect problems like these at top tech companies like Amazon and Google.

If you are preparing for a tech interview at FAANG or any other Tier-1 tech company, register for Interview Kickstart’s FREE webinar to understand the best way to prepare.

Interview Kickstart offers interview preparation courses taught by FAANG+ tech leads and seasoned hiring managers. Our programs include a comprehensive curriculum, unmatched teaching methods, and career coaching to help you nail your next tech interview.

We offer 18 interview preparation courses, each tailored to a specific engineering domain or role, including the most in-demand and highest-paying domains and roles, such as:

‍To learn more, register for the FREE webinar.

### Try yourself in the Editor

Note: Input and Output will already be taken care of.

# Add One Problem Statement

Given a non-negative number as an integer array `digits`, where `digits[i]` represents `ith` digit of the given number. Add one to the number and return its digits array.

## Example One

``````{
"digits": "[4, 5, 6]"
}
``````

Output:

``````[4, 5, 7]
``````

number = 456
number + 1 = 457

## Example Two

``````{
"digits": "[9, 9]"
}
``````

Output:

``````[1, 0, 0]
``````

## Notes

• The digits are ordered from most significant to least significant in left-to-right order.
• The given number does not contain any leading zeros.

Constraints:

• 1 <= size of the `digits` array <= 104
• 0 <= any element of the `digits` array <= 9

## Code For Add One Solution: Iterative

``````
/*
Asymptotic complexity in terms of length of the given list \`n\`:
* Time: O(n).
* Auxiliary space: O(1).
* Total space: O(n).
*/

vector<int> add_one(vector<int> digits) {
int n = digits.size();

int carry = 1;
for(int i = digits.size() - 1; i >= 0; i--){
int sum = digits[i] + carry;
carry = (sum >= 10) ? 1 : 0;
digits[i] = sum % 10;
}

if(carry != 0) {
// if carry is not zero append it to the beginning
digits.insert(digits.begin(), 1);
}
return digits;
}
``````

We hope that these solutions to the add one problem have helped you level up your coding skills. You can expect problems like these at top tech companies like Amazon and Google.

If you are preparing for a tech interview at FAANG or any other Tier-1 tech company, register for Interview Kickstart’s FREE webinar to understand the best way to prepare.

Interview Kickstart offers interview preparation courses taught by FAANG+ tech leads and seasoned hiring managers. Our programs include a comprehensive curriculum, unmatched teaching methods, and career coaching to help you nail your next tech interview.

We offer 18 interview preparation courses, each tailored to a specific engineering domain or role, including the most in-demand and highest-paying domains and roles, such as:

‍To learn more, register for the FREE webinar.

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