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Karatsuba Multiplication Visualizer & Solution | Rulcode

56. Karatsuba Multiplication

Hard

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Example 1:

Input: x = 1234, y = 5678

Output: 7006652

Explanation: 1234 * 5678 = 7006652. The algorithm should correctly calculate this product.

Example 2:

Input: x = 12, y = 34

Output: 408

Explanation: 12 * 34 = 408. Testing with smaller numbers to verify correctness.

Example 3:

Input: x = 123456789, y = 987654321

Output: 121932631112635269

Explanation: Testing with large numbers to ensure the algorithm handles large inputs correctly.

Example 4:

Input: x = 1, y = 999999999

Output: 999999999

Explanation: Testing with '1' as one of the inputs.

Constraints:

Time Complexity

O(n^1.58)

Space Complexity

O(n)

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56. Karatsuba Multiplication

Hard

Topics

Hint

Understand Before Coding

Visualize This Problem

Open Visualizer

Draw Your Approach

Draw

Example 1:

Input: x = 1234, y = 5678

Output: 7006652

Explanation: 1234 * 5678 = 7006652. The algorithm should correctly calculate this product.

Example 2:

Input: x = 12, y = 34

Output: 408

Explanation: 12 * 34 = 408. Testing with smaller numbers to verify correctness.

Example 3:

Input: x = 123456789, y = 987654321

Output: 121932631112635269

Explanation: Testing with large numbers to ensure the algorithm handles large inputs correctly.

Example 4:

Input: x = 1, y = 999999999

Output: 999999999

Explanation: Testing with '1' as one of the inputs.

Constraints:

Time Complexity

O(n^1.58)

Space Complexity

O(n)

56. Karatsuba Multiplication

Understand Before Coding

Visualize This Problem

Draw Your Approach

Example 1:

Example 2:

Example 3:

Example 4:

Constraints:

Learn

Topics

Hint

Use Cases

56. Karatsuba Multiplication

Understand Before Coding

Visualize This Problem

Draw Your Approach

Example 1:

Example 2:

Example 3:

Example 4:

Constraints:

Learn

Topics

Hint

Use Cases