What is the worst case time complexity of the following code:
int memo[101][101];
int findMinPath(vector<vector<int> >& V, int r, int c) {
int R = V.size();
int C = V[0].size();
if (r >= R || c >= C) return 100000000; // Infinity
if (r == R - 1 && c == C - 1) return 0;
if (memo[r][c] != -1) return memo[r][c];
memo[r][c] = V[r][c] + min(findMinPath(V, r + 1, c), findMinPath(V, r, c + 1));
return memo[r][c];
}
Callsite :
memset(memo, -1, sizeof(memo));
findMinPath(V, 0, 0);
Assume R = V.size() and C = V[0].size() and V has positive elements
NOTE : This question involves recursion which will be explained later in topic Backtracking. So, if you are not able to approach this question now, you can give it a try later.