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05.01. Insert Into Bits

Description

You are given two 32-bit numbers, N and M, and two bit positions, i and j. Write a method to insert M into N such that M starts at bit j and ends at bit i. You can assume that the bits j through i have enough space to fit all of M. That is, if M = 10011, you can assume that there are at least 5 bits between j and i. You would not, for example, have j = 3 and i = 2, because M could not fully fit between bit 3 and bit 2.

Example1:


 Input: N = 10000000000, M = 10011, i = 2, j = 6

 Output: N = 10001001100

Example2:


 Input: N = 0, M = 11111, i = 0, j = 4

 Output: N = 11111

Solutions

Solution 1: Bit Manipulation

First, we clear the bits from the $i$-th to the $j$-th in $N$, then we left shift $M$ by $i$ bits, and finally perform a bitwise OR operation on $M$ and $N$.

The time complexity is $O(\log n)$, where $n$ is the size of $N$. The space complexity is $O(1)$.

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class Solution:
    def insertBits(self, N: int, M: int, i: int, j: int) -> int:
        for k in range(i, j + 1):
            N &= ~(1 << k)
        return N | M << i

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class Solution {
    public int insertBits(int </