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# 5.25 (Demonstrate cancellation errors) A cancellation error occurs when you are
# manipulating a very large number with a very small number. The large number
# may cancel out the smaller number. For example, the result of 100000000.0 +
# 0.000000001 is equal to 100000000.0. To avoid cancellation errors and obtain
# more accurate results, carefully select the order of computation. For example, in
# computing the following series, you will obtain more accurate results by computing
# from right to left rather than from left to right:
# Write a program that compares the results of the summation of the preceding
# series, computing both from left to right and from right to left with n 50000.
N = 50000
print("From left to right, the sum is: ", end='')
sum = 0
for i in range(1, N + 1):
sum += 1 / i
print(sum)
print("From right to left, the sum is: ", end='')
sum = 0
for i in range(N, 0, -1):
sum += 1 / i
print(sum)
