{ "data": { "question": { "questionId": "3017", "questionFrontendId": "2827", "boundTopicId": null, "title": "Number of Beautiful Integers in the Range", "titleSlug": "number-of-beautiful-integers-in-the-range", "content": "
You are given positive integers low
, high
, and k
.
A number is beautiful if it meets both of the following conditions:
\n\nk
.Return the number of beautiful integers in the range [low, high]
.
\n
Example 1:
\n\n\nInput: low = 10, high = 20, k = 3\nOutput: 2\nExplanation: There are 2 beautiful integers in the given range: [12,18]. \n- 12 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 3.\n- 18 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 3.\nAdditionally we can see that:\n- 16 is not beautiful because it is not divisible by k = 3.\n- 15 is not beautiful because it does not contain equal counts even and odd digits.\nIt can be shown that there are only 2 beautiful integers in the given range.\n\n\n
Example 2:
\n\n\nInput: low = 1, high = 10, k = 1\nOutput: 1\nExplanation: There is 1 beautiful integer in the given range: [10].\n- 10 is beautiful because it contains 1 odd digit and 1 even digit, and is divisible by k = 1.\nIt can be shown that there is only 1 beautiful integer in the given range.\n\n\n
Example 3:
\n\n\nInput: low = 5, high = 5, k = 2\nOutput: 0\nExplanation: There are 0 beautiful integers in the given range.\n- 5 is not beautiful because it is not divisible by k = 2 and it does not contain equal even and odd digits.\n\n\n
\n
Constraints:
\n\n0 < low <= high <= 109
0 < k <= 20
f(n)
denote number of beautiful integers in the range [1…n]
, then the answer is f(r) - f(l-1)
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