1137_N thTribonacciNumber - a920604a/leetcode GitHub Wiki
- recursive => time out
class Solution {
public:
int tribonacci(int n) {
if(n==0) return 0;
if(n==1 || n==2) return 1;
return tribonacci(n-3)+tribonacci(n-2)+tribonacci(n-1);
}
};
class Solution {
public:
unordered_map<int,int > ans;
int tribonacci(int n) {
if(n==0) return 0;
if(n==1 || n==2) return 1;
if(ans.find(n)!=ans.end()) return ans[n];
ans[n] = tribonacci(n-3)+tribonacci(n-2)+tribonacci(n-1);
return ans[n];
}
};
class Solution {
public:
int tribonacci(int n) {
if(n==0) return 0;
if(n==1 || n==2) return 1;
vector<int> dp(n+1, 0);
dp[1] = dp[2] = 1;
for(int i=3;i<=n;++i) dp[i] = dp[i-3] + dp[i-2] + dp[i-1];
return dp[n];
}
};
class Solution {
public:
int tribonacci(int n) {
if(n==0) return 0;
if(n==1 || n==2) return 1;
int a= 0, b =1, c=1, d;
for(int i=3;i<=n;++i){
d = a+b+c;
a=b;
b=c;
c=d;
}
return d;
}
};
-
option 2 - dp
- time complexity
O(n)
- space complexity
O(n)
- time complexity
-
option 3
- time complexity
O(n)
- space complexity
O(1)
- time complexity