1317. Convert Integer to the Sum of Two No-Zero Integers
Description
No-Zero integer is a positive integer that does not contain any 0
in its decimal representation.
Given an integer n
, return a list of two integers [a, b]
where:
a
andb
are No-Zero integers.a + b = n
The test cases are generated so that there is at least one valid solution. If there are many valid solutions, you can return any of them.
Example 1:
Input: n = 2 Output: [1,1] Explanation: Let a = 1 and b = 1. Both a and b are no-zero integers, and a + b = 2 = n.
Example 2:
Input: n = 11 Output: [2,9] Explanation: Let a = 2 and b = 9. Both a and b are no-zero integers, and a + b = 9 = n. Note that there are other valid answers as [8, 3] that can be accepted.
Constraints:
2 <= n <= 104
Solutions
Solution 1: Direct Enumeration
Starting from $1$, we enumerate $a$, then $b = n - a$. For each $a$ and $b$, we convert them to strings and concatenate them, then check if they contain the character '0'. If they do not contain '0', we have found the answer and return $[a, b]$.
The time complexity is $O(n \times \log n)$, where $n$ is the integer given in the problem. The space complexity is $O(\log n)$.
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Solution 2: Direct Enumeration (Alternative Approach)
In Solution 1, we converted $a$ and $b$ into strings and concatenated them, then checked if they contained the character '0'. Here, we can use a function $f(x)$ to check whether $x$ contains the character '0', and then directly enumerate $a$, checking whether both $a$ and $b = n - a$ do not contain the character '0'. If they do not, we have found the answer and return $[a, b]$.
The time complexity is $O(n \times \log n)$, where $n$ is the integer given in the problem. The space complexity is $O(1)$.
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