where: 
and 
for 
.
and for .We can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. 
), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd contains the next 3, the 4th contains the next 4, and so on.
), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd contains the next 3, the 4th contains the next 4, and so on.In this problem, we are required to find the sum of the n-th row of the Fibonacci Square Triangle. For example for the 4th row, the sum is:
Since, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.
Therefore, for the 4th row, your program output should be 
.
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Additional rules: no persistent, global, java, BigInteger.
Control structures allowed!
good problem!