longest-line-of-consecutive-one-in-matrix

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562. Longest Line of Consecutive One in Matrix (Medium)

Given a 01 matrix M, find the longest line of consecutive one in the matrix. The line could be horizontal, vertical, diagonal or anti-diagonal.

Example:

Input:
[[0,1,1,0],
 [0,1,1,0],
 [0,0,0,1]]
Output: 3

Hint: The number of elements in the given matrix will not exceed 10,000.

Related Topics

[Array] [Dynamic Programming] [Matrix]

Hints

Hint 1

One solution is to count ones in each direction separately and find the longest line. Don't you think it will take too much lines of code?

Hint 2

Is it possible to use some extra space to make the solution simple?

Hint 3

Can we use dynamic programming to make use of intermediate results?

Hint 4

Think of a 3D array which can be used to store the longest line obtained so far for each direction.