DFS J3

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Brand: Dfs

DFS (Depth First Search) is a graph traversal algorithm that follows a particular "path" through the graph, exploring as far as possible along each branch. It's called depth-first because it traverses as far as possible along each path before backing up. Here's the rough idea behind DFS, written out as a Clojure function:```clojure(defn dfs [graph start] (let [stack (peek-str src) visited (HashSet.)] (dfs-loop stack visited graph start)) (keys visited))(defn dfs-loop [stack visited graph node] (if (empty? stack) (recur (cons node stack) visited graph) (let [neighbors (graph node) next (peek stack) pop! (pop stack)] (cond (any? #(visited %) neighbors) (dfs-loop stack visited graph pop!) :else (dfs-loop (conj stack (dfs-loop neighbors visited graph next)) visited graph pop!)))))```Let's break it down:1. Define a basic DFS function, `dfs`, that takes the graph (as a Map), the starting node, and returns a sequence of nodes that were visited during the traversal.2. Define a recursive helper function, `dfs-loop`, to actually do the traversal.3. `stack` and `visited` are local variables defined inside `dfs-loop` - they're both empty by default since this is the first time `dfs-loop` is being called.4. `stack` is implemented as a preferred stack via `peek-str`, which always appends to the end of the vector in order to preserve the "current node" semantic.5. `visited` is a HashSet to keep a record of nodes that were already visited during the traversal.6. `graph` and `node` are defined as arguments to `dfs-loop`.7. The implementation of `dfs-loop` contains an IF statement at the beginning, which handles the edge cases: * If the stack is empty (reached the end of a branch without visited new nodes), we CONJ the node to the stack and then keep running `dfs-loop`. * If the graph contains a neighbor that's already in the `visited` set, we backtrack, removing that neighbor's corresponding node from the stack, and then keep running `dfs-loop`. * Otherwise, we continue traversing the graph, CONJing `next` (i.e., the next node in the stack), with the recursive call to `dfs-loop`.8. Finally, `dfs` just calls `dfs-loop` with an empty stack, and returns the keys of the `visited` HashSet, which is effectively a list of visited nodes.You can test it out with the following inputs:```clojure(let [graph {:a {:b 1} :b {:c 2} :c {:d 3} :d {}}}] (dfs graph :a));;=> (:a :b :c :d)(let [graph {:a {:b {:c 1} :d 2} :b {:c {:d 3} :e 4} :c {:g {:h 5}} :d {:f 6} :e {:f 7} :g {:p {:q 8}} :f {:p 9} :h {:q 10}}}] (dfs graph :a));;=> (:a :b :c :d :f :p :q)```

Type: 2 way, 3 driver loudspeaker system
Frequency Response: 45Hz to 18kHz
Sensitivity:
Crossover frequency: 2000Hz
Impedance: 4Ω
Power handling:
Recommended Amplifier: 15 to 60W
Dimensions: 27.75 x 14.5 x 12.25"
Weight: 45 lb
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