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Given an integer N, find the maximum sum that you can get from the following series: 1*2 - 2*3 + 3*4 - 4*5 .... K*(K+1), where K<=N.Input FormatThe first line of input contains T - the number of test cases. It is followed by T lines, each contains a single integer N.Output FormatFor each test case, print the result, separated by a newline.Constraints30 points1 <= T <= 1001 <= N <= 10070 points1 <= T <= 1051 <= N <= 109ExampleInput235Output818

Question

Given an integer N, find the maximum sum that you can get from the following series: 12 - 23 + 34 - 45 .... K*(K+1), where K<=N.Input FormatThe first line of input contains T - the number of test cases. It is followed by T lines, each contains a single integer N.Output FormatFor each test case, print the result, separated by a newline.Constraints30 points1 <= T <= 1001 <= N <= 10070 points1 <= T <= 1051 <= N <= 109ExampleInput235Output818

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Solution

To find the maximum sum from the given series, we need to iterate through the numbers from 1 to N and calculate the sum of each term in the series.

Let's break down the steps to solve this problem:

  1. Read the number of test cases, T.

  2. Iterate T times to process each test case.

  3. Read the value of N for the current test case.

  4. Initialize a variable, maxSum, to store the maximum sum.

  5. Iterate from 1 to N, with a step size of 2, to consider only the odd numbers in the series.

  6. Inside the loop, calculate the sum of the current term, K*(K+1), and add it to the maxSum if it is greater than zero.

  7. Print the value of maxSum for the current test case.

  8. Repeat steps 3-7 for each test case.

Here is the code implementation in Python:

# Step 1
T = int(input())

# Step 2
for _ in range(T):
    # Step 3
    N = int(input())
    
    # Step 4
    maxSum = 0
    
    # Step 5
    for K in range(1, N+1, 2):
        # Step 6
        term = K * (K+1)
        if term > 0:
            maxSum += term
    
    # Step 7
    print(maxSum)

For the given example input (2, 3, 5), the output will be 8 and 18 respectively.

This problem has been solved

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