{ "data": { "question": { "questionId": "2921", "questionFrontendId": "2801", "boundTopicId": null, "title": "Count Stepping Numbers in Range", "titleSlug": "count-stepping-numbers-in-range", "content": "
Given two positive integers low
and high
represented as strings, find the count of stepping numbers in the inclusive range [low, high]
.
A stepping number is an integer such that all of its adjacent digits have an absolute difference of exactly 1
.
Return an integer denoting the count of stepping numbers in the inclusive range [low, high]
.
Since the answer may be very large, return it modulo 109 + 7
.
Note: A stepping number should not have a leading zero.
\n\n\n
Example 1:
\n\n\nInput: low = "1", high = "11"\nOutput: 10\nExplanation: The stepping numbers in the range [1,11] are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. There are a total of 10 stepping numbers in the range. Hence, the output is 10.\n\n
Example 2:
\n\n\nInput: low = "90", high = "101"\nOutput: 2\nExplanation: The stepping numbers in the range [90,101] are 98 and 101. There are a total of 2 stepping numbers in the range. Hence, the output is 2.\n\n
\n
Constraints:
\n\n1 <= int(low) <= int(high) < 10100
1 <= low.length, high.length <= 100
low
and high
consist of only digits.low
and high
don't have any leading zeros.Compiled with clang 11
using the latest C++ 20 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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\\r\\n\\r\\nFor Map/TreeMap data structure, you may use sortedcontainers library.
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