题目描写叙述:
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?
思路:斐波那契数列的应用。f(n)=f(n-1)+f(n-2)。当中f(1)=1,f(2)=2。此题假设用递归会超时,所以採用非递归的方法求斐波那契数列的第n项。
代码:
int Solution::climbStairs(int n){ int n1 = 1; int n2 = 2; if(n == 1) return 1; if(n == 2) return 2; while(n > 2) { int temp = n1; n1 = n2; n2 = n2 + temp; n--; } return n2;}