ikbal's blog

By ikbal, 9 years ago, In English

There is a string with length n ≤ 104.

Let us denote fi as number of occurrences of the i'th unique sub sequence.

We need to calculate . Sub sequence does not have to be consective.

I have no idea about the solution so far. So any help would be appreciated.

Here is the source of the problem : link

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9 years ago, # |
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How to count amount of different subsequences of a string?..

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    9 years ago, # ^ |
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    Hint: For each distinct sub sequence count it when its lexicographically minimal by index values.

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9 years ago, # |
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Some magic: http://www.everfall.com/paste/id.php?tuo8fxsbhlx0.

The main idea is that desired sum may be obtained in the following way: let's iterate over all pairs of subsequences in the string S and do ans += 1 iff they are equal.