Package g1601_1700.s1680_concatenation_of_consecutive_binary_numbers

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    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 <code>10<sup>9</sup> + 7</code>.

    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 10<sup>9</sup> + 7, the result is 505379714.

    Constraints:

    • <code>1 <= n <= 10<sup>5</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer concatenatedBinary(Integer n)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait