5 files changed, 454 insertions, 43 deletions

diff --git a/Algorithms/Part-II/1-WordNet/Outcast.java b/Algorithms/Part-II/1-WordNet/Outcast.java
index 296fd79..af2b6f3 100644
--- a/Algorithms/Part-II/1-WordNet/Outcast.java
+++ b/Algorithms/Part-II/1-WordNet/Outcast.java
@@ -2,26 +2,50 @@
 
 public class Outcast
 {
+    private WordNet wordNet;
+
     // constructor takes a WordNet object
     public Outcast(WordNet wordnet)
     {
+        wordNet = wordnet;
     }
 
     // given an array of WordNet nouns, return an outcast
     public String outcast(String[] nouns)
     {
-        return "";
+        int maxTotal = -1;
+        String outcast = null;
+
+        for (int i = 0; i < nouns.length; i++) {
+            int total = 0;
+            for (int j = 0; j < nouns.length; j++) {
+                total = total + wordNet.distance(nouns[i], nouns[j]);
+            }
+
+            if (total > maxTotal) {
+                maxTotal = total;
+                outcast = nouns[i];
+            }
+        }
+
+        return outcast;
     }
 
     // for unit testing of this class (such as the one below)
     public static void main(String[] args)
     {
-        WordNet wordnet = new WordNet(args[0], args[1]);
+        WordNet wordnet = new WordNet("./data/synsets.txt", "./data/hypernyms.txt");
         Outcast outcast = new Outcast(wordnet);
-        for (int t = 2; t < args.length; t++) {
-            String[] nouns = In.readStrings(args[t]);
-            StdOut.println(args[t] + ": " + outcast.outcast(nouns));
-        }
+        String[] nouns;
+
+        nouns = new In("./data/outcast5.txt").readAllStrings();
+        StdOut.println(outcast.outcast(nouns));
+
+        nouns = new In("./data/outcast8.txt").readAllStrings();
+        StdOut.println(outcast.outcast(nouns));
+
+        nouns = new In("./data/outcast11.txt").readAllStrings();
+        StdOut.println(outcast.outcast(nouns));
     }
 }
 
diff --git a/Algorithms/Part-II/1-WordNet/SAP.java b/Algorithms/Part-II/1-WordNet/SAP.java
index 864b8d0..264102a 100644
--- a/Algorithms/Part-II/1-WordNet/SAP.java
+++ b/Algorithms/Part-II/1-WordNet/SAP.java
@@ -3,63 +3,175 @@
 public class SAP
 {
     // data type use space proportional to E + V
-
     // all methods take time at most proportional to E + V in the worst case
 
+    private static  class SAPResult {
+        private int ancestor;
+        private int length;
+        public SAPResult(int a, int l) {
+            ancestor = a;
+            length = l;
+        }
+        public int length() { return length; }
+        public int ancestor() { return ancestor; }
+    };
+
+    private Digraph g;
+
     // constructor takes a digraph (not necessarily a DAG)
     public SAP(Digraph G)
     {
+        g = new Digraph(G);
     }
 
     // length of shortest ancestral path between v and w
     // -1 if no such path
     public int length(int v, int w)
     {
-        // throws java.lang.IndexOutOfBoundsException if args not in [0 ; G.V()-1]
-
-        return -1;
+        return ancestorAndLength(v, w).length();
     }
 
     // a common ancestor of v and w that participates in a shortest ancestral path
     // -1 if no such path
     public int ancestor(int v, int w)
     {
-        // throws java.lang.IndexOutOfBoundsException if args not in [0 ; G.V()-1]
-
-        return -1;
+        return ancestorAndLength(v, w).ancestor();
     }
 
     // length of shortest ancestral path between any vertex in v and any vertex in w
     // -1 if no such path
     public int length(Iterable<Integer> v, Iterable<Integer> w)
     {
-        // throws java.lang.IndexOutOfBoundsException if args not in [0 ; G.V()-1]
-
-        return -1;
+        return ancestorAndLength(v, w).length();
     }
 
     // a common ancestor that participates in shortest ancestral path
     // -1 if no such path
     public int ancestor(Iterable<Integer> v, Iterable<Integer> w)
     {
-        // throws java.lang.IndexOutOfBoundsException if args not in [0 ; G.V()-1]
+        return ancestorAndLength(v, w).ancestor();
+    }
+
+    private SAPResult ancestorAndLength(int v, int w)
+    {
+        if ((Math.max(v, w) >= g.V()) || (Math.min(v, w) < 0))
+            throw new IndexOutOfBoundsException("out of index");
+
+        // the smallest index shall have the smallest components count
+        int a, b;
+        if (v < w) {
+            a = v;
+            b = w;
+        } else {
+            a = w;
+            b = v;
+        }
+
+        int sol = -1;
+        int len = Integer.MAX_VALUE;
+
+        if (a == b) {
+            sol = a;
+            len = 0;
+        } else {
+
+            ResizingArrayQueue<Integer> c = new ResizingArrayQueue<Integer>();
+            SpecializedBFS aBFS = new SpecializedBFS(g, a, c);
+            SpecializedBFS bBFS = new SpecializedBFS(g, b, null);
+
+            for (int x : c) {
+                if (!bBFS.hasPathTo(x)) continue;
+                int l = aBFS.distTo(x) + bBFS.distTo(x);
+                if (len > l) {
+                    len = l;
+                    sol = x;
+                }
+            }
+        }
+
+        if (sol == -1) len = -1;
+
+        return new SAPResult(sol, len);
+    }
+
+    private SAPResult ancestorAndLength(Iterable<Integer> vv, Iterable<Integer> ww)
+    {
+        for (int v : vv) {
+            if (v < 0 || v >= g.V())
+                throw new IndexOutOfBoundsException("out of index");
+        }
+        for (int w : ww) {
+            if (w < 0 || w >= g.V())
+                throw new IndexOutOfBoundsException("out of index");
+        }
+
+        int sol = -1;
+        int len = Integer.MAX_VALUE;
+
+        ResizingArrayQueue<Integer> c = new ResizingArrayQueue<Integer>();
+        SpecializedBFS aBFS = new SpecializedBFS(g, vv, c);
+        SpecializedBFS bBFS = new SpecializedBFS(g, ww, null);
+
+        for (int x : c) {
+            if (!bBFS.hasPathTo(x)) continue;
+            int l = aBFS.distTo(x) + bBFS.distTo(x);
+            if (len > l) {
+                len = l;
+                sol = x;
+            }
+        }
+
+        if (sol == -1) len = -1;
+
+        SAPResult res = new SAPResult(sol, len);
 
-        return -1;
+        return res;
     }
 
     // for unit testing of this class (such as the one below)
     public static void main(String[] args)
     {
-        In in = new In(args[0]);
-        Digraph G = new Digraph(in);
-        SAP sap = new SAP(G);
-        while (!StdIn.isEmpty()) {
-            int v = StdIn.readInt();
-            int w = StdIn.readInt();
-            int length   = sap.length(v, w);
-            int ancestor = sap.ancestor(v, w);
-            StdOut.printf("length = %d, ancestor = %d\n", length, ancestor);
+        int length, ancestor;
+        In in;
+        Digraph G;
+        SAP sap;
+
+        in = new In("./data/digraph1.txt");
+        G = new Digraph(in);
+        sap = new SAP(G);
+
+        length = sap.length(3, 11);
+        ancestor = sap.ancestor(3, 11);
+        StdOut.printf("length = %d, ancestor = %d\n", length, ancestor);
+
+        length = sap.length(9, 12);
+        ancestor = sap.ancestor(9, 12);
+        StdOut.printf("length = %d, ancestor = %d\n", length, ancestor);
+
+        length = sap.length(7, 2);
+        ancestor = sap.ancestor(7, 2);
+        StdOut.printf("length = %d, ancestor = %d\n", length, ancestor);
+
+        length = sap.length(1, 6);
+        ancestor = sap.ancestor(1, 6);
+        StdOut.printf("length = %d, ancestor = %d\n", length, ancestor);
+
+        Stopwatch w1 = new Stopwatch();
+        for (int i = 1; i < 7; i++) {
+            String g = "./data/digraph"+i+".txt";
+            in = new In(g);
+            G = new Digraph(in);
+            sap = new SAP(G);
+            for (int v = 0; v < G.V(); v++) {
+                for (int w = 0; w < G.V(); w++) {
+                    int a = sap.ancestor(v, w);
+                    int l = sap.length(v, w);
+                    // StdOut.printf("%s %d->%d : a:%d l:%d\n", g, v, w, a, l);
+                }
+            }
         }
+        double a1 = w1.elapsedTime();
+        StdOut.printf("all solved in : %g \n", a1);
     }
 }
 
diff --git a/Algorithms/Part-II/1-WordNet/SpecializedBFS.java b/Algorithms/Part-II/1-WordNet/SpecializedBFS.java
new file mode 100644
index 0000000..5b4a635
--- /dev/null
+++ b/Algorithms/Part-II/1-WordNet/SpecializedBFS.java
@@ -0,0 +1,150 @@
+/* vim: set expandtab tabstop=4 shiftwidth=4 : */
+
+public class SpecializedBFS
+{
+    private static final int MAXINT = Integer.MAX_VALUE;
+
+    private boolean[] marked;
+    private int[] edgeTo;
+    private int[] distTo;
+
+    public SpecializedBFS(Digraph G, int s, ResizingArrayQueue<Integer> c)
+    {
+        init(G);
+        Queue<Integer> q = new Queue<Integer>();
+        marked[s] = true;
+        distTo[s] = 0;
+        q.enqueue(s);
+        if (c != null) c.enqueue(s);
+        bfs(G, q, c);
+    }
+
+    public SpecializedBFS(Digraph G, Iterable<Integer> ss,
+            ResizingArrayQueue<Integer> c)
+    {
+        init(G);
+        Queue<Integer> q = new Queue<Integer>();
+        for (int s : ss) {
+            marked[s] = true;
+            distTo[s] = 0;
+            q.enqueue(s);
+            if (c != null) c.enqueue(s);
+        }
+        bfs(G, q, c);
+    }
+
+    private void init(Digraph g)
+    {
+        marked = new boolean[g.V()];
+        edgeTo = new int[g.V()];
+        distTo = new int[g.V()];
+        for (int v = 0; v < g.V(); v++)
+            distTo[v] = MAXINT;
+    }
+
+    public int distTo(int v)
+    {
+        return distTo[v];
+    }
+
+    public boolean hasPathTo(int v)
+    {
+        return marked[v];
+    }
+
+    private void bfs(Digraph G, Queue<Integer> q, ResizingArrayQueue<Integer> c)
+    {
+        while (!q.isEmpty()) {
+            int v = q.dequeue();
+            for (int w : G.adj(v)) {
+                if (!marked[w]) {
+                    edgeTo[w] = v;
+                    distTo[w] = distTo[v] + 1;
+                    marked[w] = true;
+                    q.enqueue(w);
+                    if (c != null) c.enqueue(w);
+                }
+            }
+        }
+    }
+
+    // change this to an iterator if efficiency is needed
+    public Iterable<Integer> pathTo(int v)
+    {
+        if (!hasPathTo(v)) return null;
+
+        Stack<Integer> path = new Stack<Integer>();
+        int x;
+        for (x = v; distTo[x] != 0; x = edgeTo[x])
+            path.push(x);
+        path.push(x);
+
+        return path;
+    }
+
+    public int pathToCount(int v)
+    {
+        if (!hasPathTo(v)) return MAXINT;
+
+        int count = 0;
+        for (int x = v; distTo[x] != 0; x = edgeTo[x])
+            count++;
+
+        return count;
+    }
+
+    public static void main(String[] args)
+    {
+        In in = new In("./data/digraph3.txt");
+        Digraph G = new Digraph(in);
+        StdOut.println(G);
+
+        int s = 7;
+        ResizingArrayQueue<Integer> components = new ResizingArrayQueue<Integer>();
+        SpecializedBFS bfs = new SpecializedBFS(G, s, components);
+
+        for (int v = 0; v < G.V(); v++) {
+            if (bfs.hasPathTo(v)) {
+                StdOut.printf("%2d -> %2d: [%d]  ", s, v, bfs.distTo(v));
+                for (int x : bfs.pathTo(v)) {
+                    if (x == s) StdOut.print(x);
+                    else        StdOut.print("->" + x);
+                }
+                StdOut.println();
+            } else {
+                StdOut.printf("%2d -> %2d: [-]\n", s, v);
+            }
+        }
+        StdOut.printf("components : ");
+        for (int c : components) {
+            if (c == s) StdOut.print(c);
+            else        StdOut.print("->" + c);
+        }
+        StdOut.print("\n");
+        StdOut.printf("pathToCount(%d) : %2d\n", 4, bfs.pathToCount(4));
+        StdOut.printf("pathToCount(%d) : %2d\n", 9, bfs.pathToCount(9));
+
+        int s2 = 11;
+        SpecializedBFS bfs2 = new SpecializedBFS(G, s2, null);
+
+        for (int v = 0; v < G.V(); v++) {
+            if (bfs2.hasPathTo(v)) {
+                StdOut.printf("%2d -> %2d: [%d]  ", s2, v, bfs2.distTo(v));
+                for (int x : bfs2.pathTo(v)) {
+                    if (x == s2) StdOut.print(x);
+                    else        StdOut.print("->" + x);
+                }
+                StdOut.println();
+            } else {
+                StdOut.printf("%2d -> %2d: [-]\n", s2, v);
+            }
+        }
+
+        StdOut.printf("intersection : ");
+        for (int c : components) {
+            if (bfs2.hasPathTo(c))
+                    StdOut.print(c+" ");
+        }
+        StdOut.print("\n");
+    }
+}
diff --git a/Algorithms/Part-II/1-WordNet/WordNet.java b/Algorithms/Part-II/1-WordNet/WordNet.java
index 830ccdf..2a854fa 100644
--- a/Algorithms/Part-II/1-WordNet/WordNet.java
+++ b/Algorithms/Part-II/1-WordNet/WordNet.java
@@ -1,58 +1,183 @@
 /* vim: set expandtab tabstop=4 shiftwidth=4 : */
 
+import java.util.HashMap;
+import java.util.Iterator;
+
 public class WordNet
 {
     // data type space linear in the input size
+    private HashMap<String, Bag<Integer>> wordsToIds;
+    private HashMap<Integer, String> idToString;
+    private Digraph dag;
+
+    private SAP sap;
 
     // constructor takes the name of the two input files
+    // time linearithmic in the input size
     public WordNet(String synsets, String hypernyms)
     {
-        // time linearithmic in the input size
+        int size = 0;
+        wordsToIds = new HashMap<String, Bag<Integer>>();
+        idToString = new HashMap<Integer, String>();
+
+        // load words from synsets
+        In syn = new In(synsets);
+        while (syn.hasNextLine()) {
+            String line = syn.readLine();
+            String[] fields = line.split(",");
+            int id = Integer.parseInt(fields[0]);
+            String[] words = fields[1].split(" ");
+            for (String word : words) {
+                Bag<Integer> bag = wordsToIds.get(word);
+                if (bag == null) {
+                    bag = new Bag<Integer>();
+                    bag.add(id);
+                    wordsToIds.put(word, bag);
+                } else {
+                    bag.add(id);
+                }
+            }
+            idToString.put(id, fields[1]);
+            size++;
+        }
+        syn.close();
+
+        dag = new Digraph(size);
+
+        boolean[] roots = new boolean[dag.V()];
+        for (int v = 0; v < dag.V(); v++)
+            roots[v] = true;
 
-        // throw a java.lang.IllegalArgumentException
-        // if the input does not correspond to a rooted DAG
+        // load edges from hypernyms
+        In hyp = new In(hypernyms);
+        while (hyp.hasNextLine()) {
+            String line = hyp.readLine();
+            String[] fields = line.split(",");
+            int id = Integer.parseInt(fields[0]);
+            if (fields.length > 1) roots[id] = false;
+            for (int i = 1; i < fields.length; i++) {
+                dag.addEdge(id, Integer.parseInt(fields[i]));
+            }
+        }
+        hyp.close();
+
+        int rootsCount = 0;
+        for (int v = 0; v < dag.V(); v++)
+            if (roots[v]) rootsCount++;
+        if (rootsCount != 1)
+                throw new IllegalArgumentException("roots "+rootsCount);
+
+        checkIndegrees();
+
+        sap = new SAP(dag);
+    }
+
+    private void checkIndegrees()
+    {
+        int[] indegree = new int[dag.V()];
+
+        // compute indegrees
+        for (int v = 0; v < dag.V(); v++) {
+            for (int w : dag.adj(v)) {
+                indegree[w]++;
+            }
+        }
+
+        // initialize queue to contain all vertices with indegree = 0 (leaves)
+        Queue<Integer> queue = new Queue<Integer>();
+        for (int v = 0; v < dag.V(); v++)
+            if (indegree[v] == 0) queue.enqueue(v);
+
+        // BFS and decrease indegrees
+        for (int j = 0; !queue.isEmpty(); j++) {
+            int v = queue.dequeue();
+            for (int w : dag.adj(v)) {
+                indegree[w]--;
+                if (indegree[w] == 0) queue.enqueue(w);
+            }
+        }
+
+        // check that all indegrees are 0
+        for (int v = 0; v < indegree.length; v++) {
+            if (indegree[v] != 0)
+                throw new IllegalArgumentException("indegrees");
+        }
     }
 
     // the set of nouns (no duplicates), returned as an Iterable
     public Iterable<String> nouns()
     {
-        return null;
+        if (wordsToIds == null) return null;
+        return wordsToIds.keySet();
     }
 
     // is the word a WordNet noun?
     public boolean isNoun(String word)
     {
-        // run in time logarithmic in the number of nouns
-
-        return false;
+        if (wordsToIds == null) return false;
+        return wordsToIds.containsKey(word);
     }
 
     // distance between nounA and nounB (defined below)
     public int distance(String nounA, String nounB)
     {
-        // run in time linear in the size of the WordNet digraph
+        if (!isNoun(nounA) || !isNoun(nounB))
+            throw new IllegalArgumentException();
+
+        Iterable<Integer> it0 = nounIterable(nounA);
+        Iterable<Integer> it1 = nounIterable(nounB);
 
-        // throw java.lang.IllegalArgumentException
-        // unless both of the noun arguments are WordNet nouns
+        return sap.length(it0, it1);
+    }
 
-        return 0;
+    private Iterable<Integer> nounIterable(final String noun) {
+        return new Iterable<Integer>() {
+            public Iterator<Integer> iterator() {
+                return wordsToIds.get(noun).iterator();
+            }
+        };
     }
 
     // a synset that is the common ancestor of nounA and nounB
     // in a shortest ancestral path
     public String sap(String nounA, String nounB)
     {
-        // run in time linear in the size of the WordNet digraph
+        if (!isNoun(nounA) || !isNoun(nounB))
+            throw new java.lang.IllegalArgumentException();
 
-        // throw java.lang.IllegalArgumentException
-        // unless both of the noun arguments are WordNet nouns
+        Iterable<Integer> it0 = nounIterable(nounA);
+        Iterable<Integer> it1 = nounIterable(nounB);
 
-        return "";
+        return idToString.get(sap.ancestor(it0, it1));
     }
 
     // for unit testing of this class
     public static void main(String[] args)
     {
+        WordNet wordNet = new WordNet("./data/synsets.txt", "./data/hypernyms.txt");
+
+        StdOut.println("23 white_marlin, mileage: "
+                + wordNet.distance("white_marlin", "mileage"));
+        StdOut.println("32 Black_Plague, black_marlin: "
+                + wordNet.distance("Black_Plague", "black_marlin"));
+        StdOut.println("32 American_water_spaniel, histology: "
+                + wordNet.distance("American_water_spaniel", "histology"));
+        StdOut.println("32 Brown_Swiss, barrel_roll: "
+                + wordNet.distance("Brown_Swiss", "barrel_roll"));
+        StdOut.println("bedspring Carolus_Linnaeus: "
+                + wordNet.sap("bedspring", "Carolus_Linnaeus"));
+        try {
+            StdOut.println("check roots");
+            new WordNet("./data/synsets.txt", "./data/hypernymsInvalidTwoRoots.txt");
+            StdOut.println("BAD");
+        }
+        catch (IllegalArgumentException e) { StdOut.println(e.getMessage()); }
+        try {
+            StdOut.println("check cycles");
+            new WordNet("./data/synsets.txt", "./data/hypernymsInvalidCycle.txt");
+            StdOut.println("BAD");
+        }
+        catch (IllegalArgumentException e) { StdOut.println(e.getMessage()); }
     }
 }
 
diff --git a/Algorithms/Part-II/1-WordNet/run.sh b/Algorithms/Part-II/1-WordNet/run.sh
index cd95d44..8c01871 100755
--- a/Algorithms/Part-II/1-WordNet/run.sh
+++ b/Algorithms/Part-II/1-WordNet/run.sh
@@ -2,7 +2,7 @@
 
 export "CLASSPATH=$CLASSPATH:.:$HOME/algs4/algs4.jar:$HOME/algs4/stdlib.jar"
 
-CLASSES="WordNet SAP Outcast"
+CLASSES="SpecializedBFS WordNet SAP Outcast"
 
 rm *.class *.zip 2>/dev/null