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  • Climbing Stairs 爬楼梯问题,每次可以走1或2步,爬上n层楼梯总方法 (变相fibonacci)

    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?

    当n=1时,有1种方法,即直接走1步

    当n=2时,有2方法:连续走2步,或直接走两步

    对于n,设f(n)为总方法,则 f(n) = f(n-1)+f(n-2)  

    ps:f(n-1)即第一次走一步的走法,

        f(n-2)即第一次走两步的走法

    归回fibnacci问题解法:

     1 class Solution {
     2 public:
     3     int climbStairs(int n) {
     4         if(n < 0)
     5             return -1;
     6         int res[] = {0,1};
     7         if(n<2)
     8             return res[n];
     9             
    10         int fib1 = 0;
    11         int fib2 = 1;
    12         
    13         int result = 1;
    14         
    15         for(int i = 1 ; i <= n ; i++){
    16             result = fib1 + fib2;
    17             fib1 = fib2;
    18             fib2 = result;
    19         }
    20         
    21         return result;
    22     }
    23 };
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  • 原文地址:https://www.cnblogs.com/fanchangfa/p/4059079.html
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