{ "data": { "question": { "questionId": "3026", "questionFrontendId": "2834", "boundTopicId": null, "title": "Find the Minimum Possible Sum of a Beautiful Array", "titleSlug": "find-the-minimum-possible-sum-of-a-beautiful-array", "content": "

You are given positive integers n and target.

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An array nums is beautiful if it meets the following conditions:

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Return the minimum possible sum that a beautiful array could have modulo 109 + 7.

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Example 1:

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\nInput: n = 2, target = 3\nOutput: 4\nExplanation: We can see that nums = [1,3] is beautiful.\n- The array nums has length n = 2.\n- The array nums consists of pairwise distinct positive integers.\n- There doesn't exist two distinct indices, i and j, with nums[i] + nums[j] == 3.\nIt can be proven that 4 is the minimum possible sum that a beautiful array could have.\n
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Example 2:

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\nInput: n = 3, target = 3\nOutput: 8\nExplanation: We can see that nums = [1,3,4] is beautiful.\n- The array nums has length n = 3.\n- The array nums consists of pairwise distinct positive integers.\n- There doesn't exist two distinct indices, i and j, with nums[i] + nums[j] == 3.\nIt can be proven that 8 is the minimum possible sum that a beautiful array could have.\n
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Example 3:

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\nInput: n = 1, target = 1\nOutput: 1\nExplanation: We can see, that nums = [1] is beautiful.\n
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Constraints:

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