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