[LeetCode] Climbing Stairs

You are climbing a stair case. It takes n steps to reach to the top.

Each time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top?

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 Dynamic Programming

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思路：动态规划+斐波那契数列，最简单的dp

class Solution {
    public:
        int climbStairs(int n) {

            vector<int> f(n+1, 0); 
            f[0] = 1;
            f[1] = 1;

            for(int i = 2; i <= n; i++)
            {   
                f[i] = f[i-1] + f[i-2];
            }   

            return f[n];
        }   
};