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The square root of 2 can be expressed by an infinite continuous fraction:

√ 2 = 1 + 1 / (2 + 1 / 2 + 1 / 2 + 1 / 2 + … )) = 1.414213...

The expansions of the first four iterations are calculated as follows:

1 + 1 + 1 + 2 = 3 + 2 = 1.5

1 + 1 / (2 + 1 / 2) = 7 / 5 = 1.4

1 + 1 / (2 + 1 / (2 + 1)) = 17 / 12 = 1.41666 …

1 + 1 / (2 + 1 / (2 + 1 / (2 + 1) = 41 / 29 = 1.41379 …

The next three iterative expansions are 99Universe 70, 239ax 169 and 577ax 408, respectively, but until the eighth iterative expansion 1393hand 985, the number of numerators exceeds the denominator for the first time.

In the first thousand iterative expansions, how many fractional numerators have more digits than the denominator?

What are the basic data types of java? the basic data types of Java can be divided into: 1. Integer types, which are used to represent the data types of integers. 2. Floating point type, which is used to represent the data type of decimals. 3. Character type. The keyword of character type is "char". 4. Boolean type, which is the basic data type that represents logical values.

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