# Difference between revisions of "99 questions/Solutions/87"

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< 99 questions | Solutions

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depthfirst ([1,2,3,4,5],[(1,2),(2,3),(1,4),(3,4),(5,2),(5,4)]) 1 |
depthfirst ([1,2,3,4,5],[(1,2),(2,3),(1,4),(3,4),(5,2),(5,4)]) 1 |
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</haskell> |
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+ | [[Category:Programming exercise spoilers]] |

## Latest revision as of 03:50, 10 January 2017

```
type Node = Int
type Edge = (Node,Node)
type Graph = ([Node],[Edge])
depthfirst :: Graph -> Node -> [Node]
depthfirst (v,e) n
| [x|x<-v,x==n] == [] = []
| otherwise = dfrecursive (v,e) [n]
dfrecursive :: Graph -> [Node] -> [Node]
dfrecursive ([],_) _ = []
dfrecursive (_,_) [] = []
dfrecursive (v,e) (top:stack)
| [x|x<-v,x==top] == [] = dfrecursive (newv, e) stack
| otherwise = top : dfrecursive (newv, e) (adjacent ++ stack)
where
adjacent = [x | (x,y)<-e,y==top] ++ [x | (y,x)<-e,y==top]
newv = [x|x<-v,x/=top]
```

Call it:

```
depthfirst ([1,2,3,4,5],[(1,2),(2,3),(1,4),(3,4),(5,2),(5,4)]) 1
```