329. Longest Increasing Path in a Matrix
class Solution {
public int longestIncreasingPath(int[][] matrix) {
int m = matrix.length;
int n = matrix[0].length;
int[][] memo = new int[m][n];
int result = 0;
for(int i=0; i<m; i++){
for (int j=0; j<n; j++){
result = Math.max(result, dfs(matrix, memo, i, j));
}
}
return result;
}
private int dfs(int[][] matrix, int[][] memo, int i, int j){
if(memo[i][j]!=0) return memo[i][j];
int left = (j-1>=0 && matrix[i][j-1]>matrix[i][j]) ?
dfs(matrix, memo, i, j-1) : 0;
int right = (j+1<matrix[0].length && matrix[i][j+1]>matrix[i][j]) ? dfs(matrix, memo, i, j+1) : 0;
int top = (i-1>=0 && matrix[i-1][j]>matrix[i][j])? dfs(matrix, memo, i-1, j) : 0;
int down = (i+1<matrix.length && matrix[i+1][j]>matrix[i][j]) ? dfs(matrix, memo, i+1, j) : 0;
int maxLen = Math.max(Math.max(left, right), Math.max(top, down))+1;
memo[i][j]=maxLen;
return maxLen;
}
}
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