Find the incorrect statement in the following code of minimum cost path?int min_cost(int** input, int si, int sj, int ei, int ej) {if (si == ei && sj == ej) { return input[ei][ej];}if (si > ei || sj > ej) { return INT_MAX;}int option1 = min_cost(input, si + 1, sj, ei, ej);// Statement 1int option2 = min_cost(input, si - 1 , sj - 1 , ei, ej);// Statement 2int option3 = min_cost(input, si, sj + 1, ei, ej);// Statement 3return input[si][sj] + min(option1, min(option2, option3));}
Question
Find the incorrect statement in the following code of minimum cost path?int min_cost(int** input, int si, int sj, int ei, int ej) {if (si == ei && sj == ej) { return input[ei][ej];}if (si > ei || sj > ej) { return INT_MAX;}int option1 = min_cost(input, si + 1, sj, ei, ej);// Statement 1int option2 = min_cost(input, si - 1 , sj - 1 , ei, ej);// Statement 2int option3 = min_cost(input, si, sj + 1, ei, ej);// Statement 3return input[si][sj] + min(option1, min(option2, option3));}
Solution
The incorrect statement in the given code is Statement 2.
In Statement 2, the function min_cost is recursively called with parameters (si - 1, sj - 1, ei, ej). This means that the function is trying to find the minimum cost path from a cell that is one row above and one column to the left of the current cell. However, in a minimum cost path problem, we can only move down or to the right from the current cell. Therefore, moving up or to the left (as indicated by si - 1 and sj - 1) is not allowed.
So, the correct recursive calls should be to the cell below the current cell (si + 1, sj) and to the cell to the right of the current cell (si, sj + 1).
Therefore, Statement 2 should be removed or replaced with the correct recursive call.
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