{ "data": { "question": { "questionId": "1535", "questionFrontendId": "1420", "boundTopicId": null, "title": "Build Array Where You Can Find The Maximum Exactly K Comparisons", "titleSlug": "build-array-where-you-can-find-the-maximum-exactly-k-comparisons", "content": "

You are given three integers n, m and k. Consider the following algorithm to find the maximum element of an array of positive integers:

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You should build the array arr which has the following properties:

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Return the number of ways to build the array arr under the mentioned conditions. As the answer may grow large, the answer must be computed modulo 109 + 7.

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Example 1:

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\nInput: n = 2, m = 3, k = 1\nOutput: 6\nExplanation: The possible arrays are [1, 1], [2, 1], [2, 2], [3, 1], [3, 2] [3, 3]\n
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Example 2:

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\nInput: n = 5, m = 2, k = 3\nOutput: 0\nExplanation: There are no possible arrays that satisify the mentioned conditions.\n
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Example 3:

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\nInput: n = 9, m = 1, k = 1\nOutput: 1\nExplanation: The only possible array is [1, 1, 1, 1, 1, 1, 1, 1, 1]\n
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Constraints:

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Compiled with clang 11 using the latest C++ 17 standard.

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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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OpenJDK 17 . Java 8 features such as lambda expressions and stream API can be used.

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Most standard library headers are already included automatically for your convenience.

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Python 2.7.12.

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Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

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C# 10 with .NET 6 runtime

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Node.js 16.13.2.

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For Priority Queue / Queue data structures, you may use datastructures-js/priority-queue and datastructures-js/queue.

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Ruby 3.1

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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

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Python 3.10.

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