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?
Note: Given n will be a positive integer.
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我把前五项列出来,假如n=1那么有1种方法;假如n=2,那么有2种方法;假如n=3,那么有3种方法;假如n=4,那么有5种方法;假如n=5,那么有8种方法...这样列下去发觉这是一个斐波那契数列,用递归完成。
发现当用递归完成之后,会超时。
于是上网看了一下什么情况,原来发现递归解决这道题会出现超时错误,于是只能一步一步做出来。
Accepted Code:
int climbStairs(int n) {
if(n == 0 || n == 1)
return 1;
int res = 0;
int a = 1;
int b = 1;
for(int i = 2; i <= n; i ++) {
res = a + b;
a = b;
b = res;
}
return res;
}
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