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g1601_1700.s1680_concatenation_of_consecutive_binary_numbers.readme.md Maven / Gradle / Ivy

1680\. Concatenation of Consecutive Binary Numbers

Medium

Given an integer `n`, return _the **decimal value** of the binary string formed by concatenating the binary representations of_ `1` _to_ `n` _in order, **modulo**_ 109 + 7.

**Example 1:**

**Input:** n = 1

**Output:** 1

**Explanation:** "1" in binary corresponds to the decimal value 1.

**Example 2:**

**Input:** n = 3

**Output:** 27

**Explanation:** In binary, 1, 2, and 3 corresponds to "1", "10", and "11".

After concatenating them, we have "11011", which corresponds to the decimal value 27.

**Example 3:**

**Input:** n = 12

**Output:** 505379714

**Explanation:** The concatenation results in "1101110010111011110001001101010111100".

The decimal value of that is 118505380540.

After modulo 109 + 7, the result is 505379714.

**Constraints:**

*   1 <= n <= 105