alphadr's blog

Matrix Exponentiation Problems ?
By alphadr, 13 years ago, In English

Could you please tell me some problems which could be solved using matrix exponentiation on codeforces or other judges ?

Thanks.

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13 years ago, hide # |
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easy hard

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    3 years ago, hide # ^ |
     
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    if you want to solve the easy one you can guess it from first solutions. if you want to solve the hard one just listen to me here: you can represent a+b√k as 2x2 matrix [a b ; kb a] . the ; ends the first row and this way you can also make matrix multiplication faster as you need only O(n*n) good luck

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13 years ago, hide # |
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http://codeforces.me/gym/100199, problem E

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    3 years ago, hide # ^ |
     
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    this problem is really good wow. also D in this gym can be solved if you know matrix multiplication. but in E here is a hint : if you are at row i how do you use row i-1 ? how do you know how many times did a certain pattern exist at the past row? why is m so little m<=5 ?

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13 years ago, hide # |
 
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http://codeforces.me/contest/222/problem/E

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13 years ago, hide # |
 
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There is a category for Matrix Exponentiation problems in lightoj. Here is the link , i hope it will be helpful. http://www.lightoj.com/volume_problemcategory.php?user_id=8956&category=Matrix%20Exponentiation

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13 years ago, hide # |
 
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185A - Plant

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9 years ago, hide # |
 
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https://www.hackerearth.com/problem/algorithm/abcd-strings/description/

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9 years ago, hide # |
 
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http://codeforces.me/problemset/problem/166/E

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8 years ago, hide # |
 
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1117D - Magic Gems

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8 years ago, hide # |
 
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1106F Lunar New Year and a Recursive Sequence

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7 years ago, hide # |
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1182E — Product Oriented Recurrence

Apart from the above mentioned problem, the following problems can also be solved by matrix exponentiation.

621E — Wet Shark and Blocks

147B — Smile House

Here you can read how LINK

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7 years ago, hide # |
 
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http://acm.timus.ru/problem.aspx?space=1&num=1462

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