70_ClimbingStairs - a920604a/leetcode GitHub Wiki
title: 70. Climbing Stairs
class Solution {
public:
int climbStairs(int n) {
vector<int> dp(n+1,0);
if(n<2) return n;
dp[0] = 1, dp[1] = 1;
for(int i=2;i<=n;++i){
dp[i] = dp[i-1] +dp[i-2];
}
return dp.back();
}
};
- recursive version => time out
class Solution {
public:
int climbStairs(int n) {
if(n<3) return n;
return climbStairs(n-1)+climbStairs(n-2);
}
};
- optimal recursive version
使用 hash table 紀錄已經call 過的function(),避免重複運算
class Solution {
public:
unordered_map<int,int> mp;
int climbStairs(int n) {
if(n<3) return n;
if(mp.count(n)) return mp[n];
mp[n] = climbStairs(n-1) + climbStairs(n-2);
return mp[n];
}
};
class Solution {
public:
int climbStairs(int n) {
if(n<3) return n;
int a = 1, b= 2,c = 0;
for(int i=3;i<=n;++i){
c= a+b;
a=b;
b=c;
}
return c;
}
};
- option 1
- time complexity
O(n)
- space complexity
O(n)
- time complexity
- option 2
- time complexity
O(n)
- space complexity
O(1)
- time complexity