10631: Minimum Cost to reach the end of the matrix
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Description
Given a matrix of size $m \times n$, such that each cell has an Uppercase Character in it, find the minimum cost to reach the cell $(m, n)$ starting from $(1, 1)$.
From a cell $(i, j)$, we can move Up (i-1, j), Down (i+1, j), Left (i, j-1) and Right (i, j+1). If the adjacent cell has the same character as the current cell then we can move to the adjacent cell with 0 cost, else the cost incurred is 1 coin.
From a cell $(i, j)$, we can move Up (i-1, j), Down (i+1, j), Left (i, j-1) and Right (i, j+1). If the adjacent cell has the same character as the current cell then we can move to the adjacent cell with 0 cost, else the cost incurred is 1 coin.
Input
第一行给两个整数 $m,n\ (1 \leq m,n \leq 1000)$。
其后 $m$ 行,每行 $n$ 个小写字母。
其后 $m$ 行,每行 $n$ 个小写字母。
Output
The minimum cost to reach the cell $(m, n)$ starting from $(1, 1)$.
Sample 1 Input
2 3
abn
def
Sample 1 Output
3
One of the possible answers is to move from ‘a’ -> ‘b’ -> ‘e’ -> ‘f’ with the cost of 1 + 1 + 1 = 3
Sample 2 Input
2 2
aa
aa
Sample 2 Output
0
We can take any path from the top left to the bottom right as the cost is always zero.