第28466题 单选题
下列哪个代码片段可以正确实现爬楼梯问题的递推算法?

爬楼梯问题描述:小明每次可以选择爬1级或2级台阶,求到达第n级台阶的不同爬法总数(n为正整数)。以下代码片段均假设输入的n为合法正整数:

A
int climbStairs(int n) {
    if(n <= 2) return n;
    int a = 1, b = 2, c;
    for(int i = 3; i <= n; i++){
        c = a + b;
        a = b;
        b = c;
    }
    return b;
}
B
int climbStairs(int n) {
    if(n <= 2) return n;
    int a = 1, b = 2, c;
    for(int i = 3; i <= n; i++){
        c = a + a;
        a = b;
        b = c;
    }
    return b;
}
C
int climbStairs(int n) {
    if(n <= 2) return 1;
    int a = 1, b = 2, c;
    for(int i = 3; i <= n; i++){
        c = a + b;
        a = b;
        b = c;
    }
    return b;
}
D
int climbStairs(int n) {
    if(n <= 2) return n;
    int a = 1, b = 2, c;
    for(int i = 3; i < n; i++){
        c = a + b;
        a = b;
        b = c;
    }
    return b;
}
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