# Difference between revisions of "99 questions/Solutions/6"

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< 99 questions | Solutions

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palindrome :: (Eq a) => [a] -> Bool |
palindrome :: (Eq a) => [a] -> Bool |
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palindrome xs = foldr (&&) True $ zipWith (==) xs (reverse xs) |
palindrome xs = foldr (&&) True $ zipWith (==) xs (reverse xs) |
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+ | palindrome' xs = and $ zipWith (==) xs (reverse xs) -- same, but easier |
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+ | </haskell> |
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+ | |||

+ | |||

+ | <haskell> |
||

+ | isPalindrome list = take half_len list == reverse (drop (half_len + (len `mod` 2)) list) |
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+ | where |
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+ | len = length list |
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+ | half_len = len `div` 2 |
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+ | |||

+ | isPalindrome' list = f_part == reverse s_part |
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+ | where |
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+ | len = length list |
||

+ | half_len = len `div` 2 |
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+ | (f_part, s_part') = splitAt half_len list |
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+ | s_part = drop (len `mod` 2) s_part' |
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</haskell> |
</haskell> |

## Revision as of 08:07, 24 June 2012

(*) Find out whether a list is a palindrome. A palindrome can be read forward or backward; e.g. (x a m a x).

```
isPalindrome :: (Eq a) => [a] -> Bool
isPalindrome xs = xs == (reverse xs)
```

```
isPalindrome' [] = True
isPalindrome' [_] = True
isPalindrome' xs = (head xs) == (last xs) && (isPalindrome' $ init $ tail xs)
```

Here's one to show it done in a fold just for the fun of it. Do note that it is less efficient then the previous 2 though.

```
isPalindrome'' :: (Eq a) => [a] -> Bool
isPalindrome'' xs = foldl (\acc (a,b) -> if a == b then acc else False) True input
where
input = zip xs (reverse xs)
```

Another one just for fun:

```
isPalindrome''' :: (Eq a) => [a] -> Bool
isPalindrome''' = Control.Monad.liftM2 (==) id reverse
```

Or even:

```
isPalindrome'''' :: (Eq a) => [a] -> Bool
isPalindrome'''' = (==) Control.Applicative.<*> reverse
```

Here's one that does half as many compares:

```
palindrome :: (Eq a) => [a] -> Bool
palindrome xs = p [] xs xs
where p rev (x:xs) (_:_:ys) = p (x:rev) xs ys
p rev (x:xs) [_] = rev == xs
p rev xs [] = rev == xs
```

Here's one using foldr and zipWith.

```
palindrome :: (Eq a) => [a] -> Bool
palindrome xs = foldr (&&) True $ zipWith (==) xs (reverse xs)
palindrome' xs = and $ zipWith (==) xs (reverse xs) -- same, but easier
```

```
isPalindrome list = take half_len list == reverse (drop (half_len + (len `mod` 2)) list)
where
len = length list
half_len = len `div` 2
isPalindrome' list = f_part == reverse s_part
where
len = length list
half_len = len `div` 2
(f_part, s_part') = splitAt half_len list
s_part = drop (len `mod` 2) s_part'
```