Problem: Minimum Operations to Make the Integer Zero

med

30 min

Understand and apply bitwise manipulation techniques to determine the minimum number of operations required to reduce an integer to zero by subtracting values in the form of powers of two plus a given integer. This lesson guides you through the problem constraints and strategies needed to implement an efficient solution.

Statement

You are given two integers num1 and num2.

In a single operation, you may select any integer i within the range $[0, 60]$ and subtract $(2^i + \text{`num2`})$ from num1.

Determine the minimum number of operations required to reduce num1 to exactly $0$ .

If it is not possible to make num1 equal to $0$ , return $-1$ .

Note: In each operation, you are free to choose a different value of i.

Constraints:

$1 \leq$ num1 $\leq 10^9$
$-10^9 \leq$ num2 $\leq 10^9$

Problem: Minimum Operations to Make the Integer Zero

med

30 min

Statement

You are given two integers num1 and num2.

In a single operation, you may select any integer i within the range $[0, 60]$ and subtract $(2^i + \text{`num2`})$ from num1.

Determine the minimum number of operations required to reduce num1 to exactly $0$ .

If it is not possible to make num1 equal to $0$ , return $-1$ .

Note: In each operation, you are free to choose a different value of i.

Constraints:

$1 \leq$ num1 $\leq 10^9$
$-10^9 \leq$ num2 $\leq 10^9$

Problem: Minimum Operations to Make the Integer Zero

Statement

Examples

Understand the problem

Figure it out!

Try it yourself

Problem: Minimum Operations to Make the Integer Zero

Statement

Examples

Understand the problem

Figure it out!

Try it yourself