{ "data": { "question": { "questionId": "938", "questionFrontendId": "902", "boundTopicId": null, "title": "Numbers At Most N Given Digit Set", "titleSlug": "numbers-at-most-n-given-digit-set", "content": "
Given an array of digits
which is sorted in non-decreasing order. You can write numbers using each digits[i]
as many times as we want. For example, if digits = ['1','3','5']
, we may write numbers such as '13'
, '551'
, and '1351315'
.
Return the number of positive integers that can be generated that are less than or equal to a given integer n
.
\n
Example 1:
\n\n\nInput: digits = ["1","3","5","7"], n = 100\nOutput: 20\nExplanation: \nThe 20 numbers that can be written are:\n1, 3, 5, 7, 11, 13, 15, 17, 31, 33, 35, 37, 51, 53, 55, 57, 71, 73, 75, 77.\n\n\n
Example 2:
\n\n\nInput: digits = ["1","4","9"], n = 1000000000\nOutput: 29523\nExplanation: \nWe can write 3 one digit numbers, 9 two digit numbers, 27 three digit numbers,\n81 four digit numbers, 243 five digit numbers, 729 six digit numbers,\n2187 seven digit numbers, 6561 eight digit numbers, and 19683 nine digit numbers.\nIn total, this is 29523 integers that can be written using the digits array.\n\n\n
Example 3:
\n\n\nInput: digits = ["7"], n = 8\nOutput: 1\n\n\n
\n
Constraints:
\n\n1 <= digits.length <= 9
digits[i].length == 1
digits[i]
is a digit from '1'
to '9'
.digits
are unique.digits
is sorted in non-decreasing order.1 <= n <= 109
Compiled with clang 11
using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2
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Most standard library headers are already included automatically for your convenience.
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Your code is compiled with debug flag enabled (/debug
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Node.js 16.13.2
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Your code is run with --harmony
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Go 1.17.6
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