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- Set L[N] equalt to 1 for all of i
- Set max_so_far equal to 1
- For i=1 to N
- For j=1 to i
- If A[j] < A[i]
- Then L(i) = 1 + max(L(j))
- max_so_far = max(max_so_far, L(i))
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