Hard
You are given a square board
of characters. You can move on the board starting at the bottom right square marked with the character 'S'
.
You need to reach the top left square marked with the character 'E'
. The rest of the squares are labeled either with a numeric character 1, 2, ..., 9
or with an obstacle 'X'
. In one move you can go up, left or up-left (diagonally) only if there is no obstacle there.
Return a list of two integers: the first integer is the maximum sum of numeric characters you can collect, and the second is the number of such paths that you can take to get that maximum sum, taken modulo 10^9 + 7
.
In case there is no path, return [0, 0]
.
Example 1:
Input: board = [“E23”,”2X2”,”12S”]
Output: [7,1]
Example 2:
Input: board = [“E12”,”1X1”,”21S”]
Output: [4,2]
Example 3:
Input: board = [“E11”,”XXX”,”11S”]
Output: [0,0]
Constraints:
2 <= board.length == board[i].length <= 100
class Solution {
fun pathsWithMaxScore(board: List<String>): IntArray {
val rows = board.size
val columns = board[0].length
val dp = Array(rows) { Array(columns) { IntArray(2) } }
for (r in rows - 1 downTo 0) {
for (c in columns - 1 downTo 0) {
val current = board[r][c]
if (current == 'S') {
dp[r][c][0] = 0
dp[r][c][1] = 1
} else if (current != 'X') {
var maxScore = 0
var paths = 0
val currentScore = if (current == 'E') 0 else current.code - '0'.code
for (dir in DIRECTIONS) {
val nextR = r + dir[0]
val nextC = c + dir[1]
if (nextR < rows && nextC < columns && dp[nextR][nextC][1] > 0) {
if (dp[nextR][nextC][0] + currentScore > maxScore) {
maxScore = dp[nextR][nextC][0] + currentScore
paths = dp[nextR][nextC][1]
} else if (dp[nextR][nextC][0] + currentScore == maxScore) {
paths = (paths + dp[nextR][nextC][1]) % 1000000007
}
}
}
dp[r][c][0] = maxScore
dp[r][c][1] = paths
}
}
}
return intArrayOf(dp[0][0][0], dp[0][0][1])
}
companion object {
private val DIRECTIONS = arrayOf(intArrayOf(1, 0), intArrayOf(0, 1), intArrayOf(1, 1))
}
}