Predict teh Time Complexity

I am unable to predict the time complexity of this question. Please help me

hello @gptradhika1208
pls share the question screenshot/text with me

Here is the question text : predict the complexity of the code: vector<vector > v(100,vector (100,-1) ); int func(int n,int m) { if((n==0)||(m==0)) { return 0; } else { if(dp[m][n]!=-1) { return dp[m][n]; } else { return func(n-1,m-2)+func(n-2,m-1); } } }

@gptradhika1208
it will be O(n*m)
time complexity for such dp solution is computed -> number of states * time of transistion from one state to another.

here number of states are N * M
time to transit from one state to other is O(1) so overall
time complexity -> O(N*M 1) -> O(NM)

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