递归
class Solution {
public:
int jumpFloor(int n) {
if (n == 1) return 1;
if (n == 2) return 2;
return jumpFloor(n-1) + jumpFloor(n-2);
}
};
动态规划
class Solution {
public:
int jumpFloor(int n) {
int dp[50];
dp[1] = 1;
dp[2] = 2;
for (int i = 3; i <= n; ++i) {
dp[i] = dp[i-1] + dp[i-2];
}
return dp[n];
}
};
空间压缩
class Solution {
public:
int jumpFloor(int n) {
if (n == 1 || n == 2) return n;
int step1 = 1;
int step2 = 2;
int step_n = 0;
for (int i = 3; i <= n; ++i) {
step_n = step1 + step2;
step1 = step2;
step2 = step_n;
}
return step_n;
}
};