702728227 by Unknown

Author:Unknown
Language: eng
Format: epub

} else {

dp[i][w] = dp[i - 1][w];

}

}

}

return dp[n][capacity];

}

Fractional Knapsack Problem: In the fractional knapsack problem, we can take fractional parts of items, allowing for more flexible solutions. Although this problem can be solved using a greedy algorithm, dynamic programming can also be used in certain cases to improve efficiency.

Hashing

A hash function is a mathematical function that takes an input (or key) and maps it to a fixed-size value, known as the hash code or hash value. The primary goal of a hash function is to distribute the keys uniformly across the available hash table slots, reducing the chances of collisions. A good hash function should be fast, produce a uniform distribution of hash values, and minimize collisions.

There are various techniques for creating hash functions, such as the division method, multiplication method, and universal hashing method. These methods often involve simple arithmetic operations to convert the key into a hash value. The choice of hash function depends on the nature of the data and the specific requirements of the application.

Collision Resolution Techniques:

Collisions occur when two distinct keys generate the same hash value, leading to a conflict in the hash table. Handling collisions is a critical aspect of hash table implementation. There are several collision resolution techniques, each with its advantages and disadvantages:

Separate Chaining: In this technique, each bucket in the hash table is implemented as a linked list. When a collision occurs, the new item is appended to the linked list at that bucket. While simple to implement, separate chaining can lead to increased memory usage due to the additional linked list pointers.

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