7. Plus One
easyAsked at GitLabIncrement a large integer represented as a digit array by one.
By Alex Chen, Founder, InterviewChamp.AI · Last verified
Problem
You are given a non-empty array digits representing a non-negative integer with most-significant digit first. Increment the number by one and return the resulting digit array.
Constraints
1 <= digits.length <= 1000 <= digit <= 9No leading zeros
Examples
Example 1
[1,2,3][1,2,4]Example 2
[9,9,9][1,0,0,0]Approaches
1. BigInt convert
Join digits to BigInt, add 1, split.
- Time
- O(n)
- Space
- O(n)
const n = BigInt(digits.join('')) + 1n;
return n.toString().split('').map(Number);Tradeoff:
2. Carry from right
Walk from end, propagate carry; if carry escapes, unshift 1.
- Time
- O(n)
- Space
- O(1)
function plusOne(digits){
for (let i=digits.length-1;i>=0;i--){
if (digits[i]<9){ digits[i]++; return digits; }
digits[i]=0;
}
digits.unshift(1);
return digits;
}Tradeoff:
GitLab-specific tips
At GitLab, mention how this generalizes to incrementing build-number arrays — they like seeing transfer to real release-pipeline mechanics.
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