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2605. Form Smallest Number From Two Digit Arrays

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Given two arrays of unique digits nums1 and nums2, return the smallest number that contains at least one digit from each array.

 

Example 1:

Input: nums1 = [4,1,3], nums2 = [5,7]
Output: 15
Explanation: The number 15 contains the digit 1 from nums1 and the digit 5 from nums2. It can be proven that 15 is the smallest number we can have.

Example 2:

Input: nums1 = [3,5,2,6], nums2 = [3,1,7]
Output: 3
Explanation: The number 3 contains the digit 3 which exists in both arrays.

 

Constraints:

  • 1 <= nums1.length, nums2.length <= 9
  • 1 <= nums1[i], nums2[i] <= 9
  • All digits in each array are unique.
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Hints

Hint 1
How many digits will the resulting number have at most?
Hint 2
The resulting number will have either one or two digits. Try to find when each case is possible.