Suppose you are an instructor and you want to design a coding question to ask students to estimate an area using the Monte Carlo method. In the designed coding question, 100 samples are required. Also, 100 samples will be used in the reference code, and the autograder will use the result of reference code as the "correct" result. After testing, you found that after using 100 samples, the absolute error of the "correct" result is 8, and you decided to secretly use 100000 samples to generate the "correct" result. Student A still uses 100 samples to generate his running result, which has absolute error of 8 as well. Calculate reasonable upper and lower bound for the absolute differences between Student A's result and the "correct" result. Upper bound: number (rtol=0.01, atol=0.0001) Lower bound: number (rtol=0.01, atol=0.0001) Suppose you are an instructor and you want to design a coding question to ask students to estimate an area using the Monte Carlo method. In the designed coding question, 100 samples are required. Also, 100 samples will be used in the reference code, and the autograder will use the result of reference code as the "correct" result. After testing, you found that after using 100 samples, the absolute error of the "correct" result is 8, and you decided to secretly use 100000 samples to generate the "correct" result. Student A still uses 100 samples to generate his running result, which has absolute error of 8 as well. Calculate reasonable upper and lower bound for the absolute differences between Student A's result and the "correct" result. Upper bound: number (rtol=0.01, atol=0.0001) Lower bound: number (rtol=0.01, atol=0.0001)