Triplets with Sum between given range

Given an array of real numbers greater than zero in form of strings.
Find if there exists a triplet (a,b,c) such that 1 < a+b+c < 2 .
Return 1 for true or 0 for false.


Example:

Given [0.6, 0.7, 0.8, 1.2, 0.4] ,

You should return 1

as

0.6+0.7+0.4=1.7

1<1.7<2

Hence, the output is 1.


O(n) solution is expected.

Note: You can assume the numbers in strings don’t overflow the primitive data type and there are no leading zeroes in numbers. Extra memory usage is allowed.

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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