計算n階梯若走1步或2步時, 有幾種走法
70. Climbing Stairs
You are climbing a staircase. It takes n
steps to reach the top.
Each time you can either climb 1
or 2
steps. In how many distinct ways can you climb to the top?
Example 1:
Input: n = 2 Output: 2 Explanation: There are two ways to climb to the top. 1. 1 step + 1 step 2. 2 steps
Example 2:
Input: n = 3 Output: 3 Explanation: There are three ways to climb to the top. 1. 1 step + 1 step + 1 step 2. 1 step + 2 steps 3. 2 steps + 1 step
Constraints:
1 <= n <= 45
每次扣掉走1階及扣掉走2階後, 要算走幾次就是記下前次和前前次拿來加總即可
public int ClimbStairs(int n)
{
int pre0 = 1;//前前次有幾種走法
int pre1 = 1;//前次有幾種走法
int count = 1;
for (int i = 2; i <= n; i++)
{
count = pre0 + pre1;
pre0 = pre1;
pre1 = count;
}
return count;
}
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