Solution 3 to Climbing Stairs Problem #200
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As 1 <= n <= 45 we can use Binet’s Formula (Fibonacci closed form) PS: this won't work for n>70 or 100 The "climb stairs" problem is equivalent to computing the nth Fibonacci number (with a slight index shift), where: F(0) = 0
F(1) = 1
F(n) = F(n-1) + F(n-2)
The number of ways to climb n stairs is the (n + 1)th Fibonacci number.