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Given the value of n(n < 10), i.e, number of lines, print the Fibonacci triangle.
Examples:
Input : n = 5 Output : 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 Input : n = 7 Output : 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 196418 317811
The Fibonacci numbers are the numbers in the following integer sequence.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ........
In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation
Fn = Fn-1 + Fn-2
with seed values F1 = 1 and F2 = 1.
Below is the implementation of the above pattern :
Output:
1 1 2 3 5 8 13 21 34 55 89 144 233 377 610
Time complexity: O(n*n)
Auxiliary Space: O(n)