GASPERS HACK | BIT MANIPULATION | Next number with same setbits
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GASPERS HACK | BIT MANIPULATION | Next number with same setbits
68 просмотров · 2 нед. назад
CodeWithGD
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68 просмотров · 2 нед. назад
🚀 Gosper’s Hack — Find the Next Number with the Same Number of Set Bits
In this video, we look at a clever bit manipulation technique known as Gosper’s Hack.
Given a number N, the goal is to find the smallest number greater than N that has the same number of set bits (1s) in its binary representation.
For example:
N = 0101100
Next(N) = 0110001
Both numbers contain exactly 3 set bits, while 0110001 is the smallest number greater than 0101100 with the same Hamming weight.
We’ll understand the intuition behind the bit manipulation and see how Gosper’s Hack can solve this efficiently using operations such as:
Bitwise AND
Two’s complement
Bit shifting
Addition
Bit manipulation
This is a useful trick to know for competitive programming, algorithms, and low-level bit manipulation problems.
📌 Topics Covered
• Gosper’s Hack
• Bit Manipulation
• Hamming Weight / Popcount
• Set Bits
• Binary Numbers
• Competitive Programming
• Bitwise Operations
• Finding the Next Number with Same Set Bits
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#GospersHack #BitManipulation #CompetitiveProgramming #Algorithms #Bitwise #HammingWeight #SetBits #Coding