Questions about lcs implementation

[drawnwren]

Hi, sorry to spam your github. Thanks for your videos and code. They're very helpful.

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                else
                {
                    temp[i][j] = Math.max(temp[i][j-1],temp[i-1][j]);
                }
                if(temp[i][j] > max){
                    max = temp[i][j];
                }
            }
        }
        return max;
    
    }

In your video, you said that the lower right of the matrix should always be the max. That makes sense to me, so I was curious why you used this max variable to track the max?