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?

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简单的dp问题,代码如下:

 class Solution {
public:
int climbStairs(int n) {
if(n <= )
return n;
dp.resize(n + );
dp[] = ;
dp[] = ;
for(int i = ; i < n + ; ++i){
dp[i] += dp[i - ];
dp[i] += dp[i - ];
}
return dp[n];
}
private:
vector<int> dp;
};

java版本代码如下所示:

 public class Solution {
public int climbStairs(int n) {
if(n < ) return n;
int dp [] = new int [n+];
dp[] = ;
dp[] = ;
for(int i = ; i <= n; ++i){
dp[i] = dp[i-] + dp[i-];
}
return dp[n];
}
}

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