+5.00

Correctness of Substitution and Differential

You correctly identified the substitution variable as u equals one minus x squared and accurately derived the differential relationship dx equals negative one half du.

+8.00

Transformation of Integral and Limits

You successfully transformed the integral into terms of u, correctly converting the original limits of integration from x equals zero to u equals one, and from x equals one to u equals zero. You also correctly flipped the limits and changed the sign of the integral.

+7.00

Antiderivative Calculation and Final Evaluation

You accurately calculated the antiderivative of u to the power of one half and correctly applied the Fundamental Theorem of Calculus by evaluating it at the transformed limits, leading to the correct final answer.

+7.00

Understanding of Collision Handling Techniques

You clearly explained the basic principles of both separate chaining and linear probing, demonstrating a good grasp of how each technique handles collisions by either using lists or finding the next available slot.

+5.00

Analysis of Pros and Cons

You provided a detailed and accurate analysis of the pros and cons for both separate chaining and linear probing. You correctly identified separate chaining's flexibility and easier deletion as pros, and its memory overhead and potential slowness as cons. For linear probing, you highlighted its memory efficiency and cache performance as pros, while accurately pointing out issues like clustering and difficult deletions as cons.

+5.00

Coherence and Clarity of Presentation

Your response was well-organized and logically structured, making it very easy to follow your explanations and analysis. The language used was clear and concise, effectively communicating the key aspects of each collision handling technique.

+1.00

Correct

+1.00

Correct

+1.00

Correct

-1.00

Incorrect

+1.00

Correct

+1.00

Correct

-1.00

Incorrect

+1.00

Correct

+1.00

Correct

-1.00

Incorrect

+1.00

Correct

+1.00

Correct

+1.00

Correct

+1.00

Correct

+1.00

Correct

+10.00

Program Structure and Method Definition

You have correctly structured your program as a valid Java class and defined the sumEven method with the appropriate signature, accepting an int[] array and returning an int.

+5.00

Iteration and Even Number Identification Logic

You have correctly implemented the logic to iterate through all elements of the input array using a for-each loop and accurately identified even numbers using the modulo operator (num % 2 == 0).

+5.00

Summation and Return Value

You have correctly initialized a variable to accumulate the sum, accurately added even numbers to it, and returned the accumulated sum as the method's result.