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Fixed a typo in longest_increasing_subsequence.md #1189

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2 changes: 1 addition & 1 deletion src/sequences/longest_increasing_subsequence.md
Original file line number Diff line number Diff line change
Expand Up @@ -46,7 +46,7 @@ Then there are two options:

- $d[i] = 1$: the required subsequence consists only of the element $a[i]$.

- $d[i] > 1$: The subsequence will end it $a[i]$, and right before it will be some number $a[j]$ with $j < i$ and $a[j] < a[i]$.
- $d[i] > 1$: The subsequence will end at $a[i]$, and right before it will be some number $a[j]$ with $j < i$ and $a[j] < a[i]$.

It's easy to see, that the subsequence ending in $a[j]$ will itself be one of the longest increasing subsequences that ends in $a[j]$.
The number $a[i]$ just extends that longest increasing subsequence by one number.
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