diff options
author | Jérémy Zurcher <jeremy@asynk.ch> | 2014-05-14 16:18:47 +0200 |
---|---|---|
committer | Jérémy Zurcher <jeremy@asynk.ch> | 2014-05-14 16:18:47 +0200 |
commit | ebe40f954e5caa034f0cbffb68ac85f13395ec6b (patch) | |
tree | cebf529f2a5f653f9a63318b5504587d5893b22f /Algorithms | |
parent | 2ab59b85eeab78ef54570c6ae7c451ad142012b9 (diff) | |
download | coursera-algs-II.zip coursera-algs-II.tar.gz |
Algorithms-II : 4-Boggle: implementationalgs-II
Diffstat (limited to 'Algorithms')
-rw-r--r-- | Algorithms/Part-II/4-Boggle/BoggleGame.java | 10 | ||||
-rw-r--r-- | Algorithms/Part-II/4-Boggle/BoggleHybridTST.java | 177 | ||||
-rw-r--r-- | Algorithms/Part-II/4-Boggle/BoggleSolver.java | 142 | ||||
-rw-r--r-- | Algorithms/Part-II/4-Boggle/BoggleSolverDicho.java | 305 | ||||
-rw-r--r-- | Algorithms/Part-II/4-Boggle/Makefile | 28 | ||||
-rw-r--r-- | Algorithms/Part-II/4-Boggle/out | bin | 0 -> 663 bytes | |||
-rw-r--r-- | Algorithms/Part-II/4-Boggle/ref | bin | 0 -> 663 bytes |
7 files changed, 638 insertions, 24 deletions
diff --git a/Algorithms/Part-II/4-Boggle/BoggleGame.java b/Algorithms/Part-II/4-Boggle/BoggleGame.java index 71d5477..5306774 100644 --- a/Algorithms/Part-II/4-Boggle/BoggleGame.java +++ b/Algorithms/Part-II/4-Boggle/BoggleGame.java @@ -383,31 +383,31 @@ public class BoggleGame extends JFrame { ); // all words in shakespeare - In in1 = new In(new File("dictionary-shakespeare.txt")); + In in1 = new In(new File("./data/dictionary-shakespeare.txt")); shakespeareDictionary = new SET<String>(); for (String s : in1.readAllStrings()) shakespeareDictionary.add(s); // all words in shakespeare - In in2 = new In(new File("dictionary-nursery.txt")); + In in2 = new In(new File("./data/dictionary-nursery.txt")); nurseryDictionary = new SET<String>(); for (String s : in2.readAllStrings()) nurseryDictionary.add(s); // about 20K common words - In in3 = new In(new File("dictionary-common.txt")); + In in3 = new In(new File("./data/dictionary-common.txt")); commonDictionary = new SET<String>(); for (String s : in3.readAllStrings()) commonDictionary.add(s); // all words in Algorithms 4/e - In in4 = new In(new File("dictionary-algs4.txt")); + In in4 = new In(new File("./data/dictionary-algs4.txt")); algs4Dictionary = new SET<String>(); for (String s : in4.readAllStrings()) algs4Dictionary.add(s); // dictionary - In in = new In(new File("dictionary-yawl.txt")); + In in = new In(new File("./data/dictionary-yawl.txt")); String[] dictionary = in.readAllStrings(); // create the Boggle solver with the given dictionary diff --git a/Algorithms/Part-II/4-Boggle/BoggleHybridTST.java b/Algorithms/Part-II/4-Boggle/BoggleHybridTST.java new file mode 100644 index 0000000..ee442bb --- /dev/null +++ b/Algorithms/Part-II/4-Boggle/BoggleHybridTST.java @@ -0,0 +1,177 @@ + +public class BoggleHybridTST +{ + private static final int R = 26; + private static final int OFFSET = 'A'; + + private static Node emptyNode = null; + + private Node[] roots = new Node[R * R]; + + public class Node + { + private boolean isWord; + private char c; + private Node left, mid, right; + + public boolean isWord() { return isWord; } + public String toString() { return "'"+c+"' "+isWord; } + } + + public Node emptyNode() { + if (emptyNode == null) { + emptyNode = new Node(); + } + return emptyNode; + } + + public void put(String word) + { + int l = word.length(); + if (l < 3) return; + int idx = ((word.charAt(0) - OFFSET) * R) + (word.charAt(1) - OFFSET); + roots[idx] = put(roots[idx], word, 2); + } + + private Node put(Node n, String word, int d) + { + char c = word.charAt(d); + + Node x = n; + if (n == null) { + x = new Node(); + x.c = c; + } + + char ref = x.c; + if (c < ref) { + x.left = put(x.left, word, d); + } else if (c == ref) { + if (word.length() == (d + 1)) { + x.isWord = true; + } else { + x.mid = put(x.mid, word, (d + 1)); + } + } else { + x.right = put(x.right, word, d); + } + + return x; + } + + public boolean contains(String word) + { + return (get(word) != null); + } + + private Node get(String word) + { + if (word.length() < 3) return null; + int idx = ((word.charAt(0) - OFFSET) * R) + (word.charAt(1) - OFFSET); + return get(roots[idx], word, 2); + } + + private Node get(Node n, String word, int d) + { + if (n == null) return null; + + char c = word.charAt(d); + char ref = n.c; + + if (c < ref) { + return get(n.left, word, d); + } else if (c == ref) { + if (word.length() == (d + 1)) { + if (n.isWord) return n; + else return null; + } + return get(n.mid, word, (d + 1)); + } else { + return get(n.right, word, d); + } + } + + private Node get(Node n, char c) + { + if (n == null) return null; + + char ref = n.c; + + if (c < ref) { + return get(n.left, c); + } else if (c == ref) { + return n; + } else { + return get(n.right, c); + } + } + + public Node filter(char c, Node n, StringBuilder s, int l) + { + if (n == null) return null; + + if (l > 2) { + return get(n.mid, c); + } else if (l == 2) { + int idx = ((s.charAt(0) - OFFSET) * R) + (s.charAt(1) - OFFSET); + Node root = roots[idx]; + if (root == null) return null; + return get(root, c); + } else { + return n; + } + } + + public Node filter(char c, Node n, String s, int l) + { + if (n == null) return null; + + if (l > 2) { + return get(n.mid, c); + } else if (l == 2) { + int idx = ((s.charAt(0) - OFFSET) * R) + (s.charAt(1) - OFFSET); + Node root = roots[idx]; + if (root == null) return null; + return get(root, c); + } else { + return n; + } + } + + public static void check(BoggleHybridTST tst, String word, boolean expected) + { + String status = "ok"; + if (tst.contains(word) != expected) + status = "ERROR"; + System.out.println("check "+word+" : "+status); + } + + // test client + public static void main(String[] args) + { + + BoggleHybridTST tst = new BoggleHybridTST(); + + In in = new In(args[0]); + String[] dictionary = in.readAllStrings(); + + for (String word : dictionary) + tst.put(word); + + check(tst, "ABC", true); + check(tst, "BITE", false); + check(tst, "BITEX", false); + String word = "QUESTIONACCIA"; + check(tst, word, true); + + word += "X"; + StringBuilder s = new StringBuilder(); + Node n = tst.emptyNode(); + for (int i = 0; i < word.length(); i++) { + char c = word.charAt(i); + n = tst.filter(c, n, s, i); + s.append(c); + System.out.println(s+" "+n); + } + } +} diff --git a/Algorithms/Part-II/4-Boggle/BoggleSolver.java b/Algorithms/Part-II/4-Boggle/BoggleSolver.java index 49633cd..6b7ad07 100644 --- a/Algorithms/Part-II/4-Boggle/BoggleSolver.java +++ b/Algorithms/Part-II/4-Boggle/BoggleSolver.java @@ -1,37 +1,153 @@ /* vim: set expandtab tabstop=4 shiftwidth=4 : */ +import java.util.Set; +import java.util.HashSet; + public class BoggleSolver { + private int cols, rows; + private BoggleHybridTST dict; + private BoggleBoard board; + private boolean[] visited; + private Set<String> result; + // assume each word in the dictionary contains only [A-Z] public BoggleSolver(String[] dictionary) { + dict = new BoggleHybridTST(); + for (String word : dictionary) + dict.put(word); } // Returns the set of all valid words in the given Boggle board - public Iterable<String> getAllValidWords(BoggleBoard board) + public Iterable<String> getAllValidWords(BoggleBoard b) { - return null; + this.board = b; + this.cols = board.cols(); + this.rows = board.rows(); + this.result = new HashSet<String>(); + + for (int r = 0; r < this.rows; r++) { + for (int c = 0; c < this.cols; c++) { + this.visited = new boolean[this.rows * this.cols]; + explore(r, c, dict.emptyNode(), new StringBuilder(), 0); + } + } + + return result; + } + + // + private void explore(int r, int c, BoggleHybridTST.Node parent, + StringBuilder s, int l) + { + if ((r < 0) || (r >= rows) || (c < 0) || (c >= cols)) return; + + int visitedIdx = (r * this.cols) + c; + if (visited[visitedIdx]) return; + + boolean isQu = false; + char ch = board.getLetter(r, c); + + BoggleHybridTST.Node next = dict.filter(ch, parent, s, l); + if (next == null) return; + l += 1; + s.append(ch); + if (ch == 'Q') { + next = dict.filter('U', next, s, l); + if (next == null) { + s.setLength(l - 1); + return; + } + isQu = true; + l += 1; + s.append('U'); + } + + if (next.isWord()) result.add(s.toString()); + + visited[visitedIdx] = true; + + explore((r - 1), (c - 1), next, s, l); + explore((r - 1), c, next, s, l); + explore((r - 1), (c + 1), next, s, l); + explore(r, (c - 1), next, s, l); + explore(r, (c + 1), next, s, l); + explore((r + 1), (c - 1), next, s, l); + explore((r + 1), c, next, s, l); + explore((r + 1), (c + 1), next, s, l); + + visited[visitedIdx] = false; + if (isQu) s.setLength(l - 2); + else s.setLength(l - 1); } // Returns the score if it is in the dictionary, zero otherwise. // assume the word contains only [A-Z] public int scoreOf(String word) { - return -1; + if (!dict.contains(word)) return 0; + + int l = word.length(); + if (l < 3) { + return 0; + } else if (l < 5) { + return 1; + } else if (l < 6) { + return 2; + } else if (l < 7) { + return 3; + } else if (l < 8) { + return 5; + } else { + return 11; + } } public static void main(String[] args) { - In in = new In(args[0]); - String[] dictionary = in.readAllStrings(); - BoggleSolver solver = new BoggleSolver(dictionary); - BoggleBoard board = new BoggleBoard(args[1]); - int score = 0; - for (String word : solver.getAllValidWords(board)) - { - StdOut.println(word); - score += solver.scoreOf(word); + if (args[0].equals("timing")) { + In in = new In("./data/dictionary-yawl.txt"); + String[] dictionary = in.readAllStrings(); + + Stopwatch w = new Stopwatch(); + BoggleSolver solver = new BoggleSolver(dictionary); + double dt = +w.elapsedTime(); + System.out.println("construction : "+dt); + + String s = "board-pneumonoultramicroscopicsilicovolcanoconiosis.txt"; + BoggleBoard []boards = new BoggleBoard[5]; + boards[0] = new BoggleBoard("./data/board-points4527.txt"); + boards[1] = new BoggleBoard("./data/board-points13464.txt"); + boards[2] = new BoggleBoard("./data/board-points4410.txt"); + boards[3] = new BoggleBoard("./data/board-points1250.txt"); + boards[4] = new BoggleBoard("./data/board-points1500.txt"); + // boards[1] = new BoggleBoard("./data/board-rotavator.txt"); + // boards[2] = new BoggleBoard("./data/board-16q.txt"); + // boards[4] = new BoggleBoard("./data/" + s); + + + for (int t = 0; t < 5; t++) { + w = new Stopwatch(); + for (int i = 0; i < 3000; i++) { + solver.getAllValidWords(boards[i % 5]); + } + dt = +w.elapsedTime(); + System.out.println("search time : "+dt); + } + } else { + In in = new In(args[0]); + String[] dictionary = in.readAllStrings(); + BoggleSolver solver = new BoggleSolver(dictionary); + BoggleBoard board = new BoggleBoard(args[1]); + int score = 0; + for (String word : solver.getAllValidWords(board)) + { + StdOut.println(word); + score += solver.scoreOf(word); + } + StdOut.println("Score = " + score); + StdOut.println("Score = " + solver.scoreOf("REQUEST")); } - StdOut.println("Score = " + score); } } diff --git a/Algorithms/Part-II/4-Boggle/BoggleSolverDicho.java b/Algorithms/Part-II/4-Boggle/BoggleSolverDicho.java new file mode 100644 index 0000000..23a645a --- /dev/null +++ b/Algorithms/Part-II/4-Boggle/BoggleSolverDicho.java @@ -0,0 +1,305 @@ +/* vim: set expandtab tabstop=4 shiftwidth=4 : */ + +import java.util.Set; +import java.util.HashSet; +import java.util.Arrays; + +public class BoggleSolverDicho +{ + + private class BoggleDictState + { + private String s; + private int idx, from, to; + private boolean isWord; + + public BoggleDictState(int from, int to) + { + this.s = ""; + this.idx = -1; + this.from = from; + this.to = to; + this.isWord = false; + } + + public BoggleDictState(String s, int idx, int from, int to, + boolean isWord) + { + this.s = s; + this.idx = idx; + this.from = from; + this.to = to; + this.isWord = isWord; + } + + public String s() { return s; } + public int idx() { return idx; } + public int from() { return from; } + public int to() { return to; } + public boolean isWord() { return isWord; } + public int n() { return (to - from + 1); } + + public String toString(String[] words) + { + String ret = s + "(" + idx + ") " + isWord + " " + + " [" + from + ";" + to + "](" + n()+") "; + + if (from > 0) ret += words[from - 1]; + ret += " ["+words[from]+"..."+words[to]+"] "; + if (to < (words.length - 1)) ret += words[to + 1]; + + return ret; + } + } + + private class BoggleDict + { + private String[] words; + + public BoggleDict(String[] words) + { + this.words = Arrays.copyOf(words, words.length); + } + + public int size() + { + return words.length; + } + + public boolean exists(String word) { + if (word.isEmpty()) return false; + + BoggleDictState st = new BoggleDictState(0, (size() - 1)); + for (int i = 0; i < word.length(); i++) { + st = filter(word.charAt(i), st); + if (st == null) return false; + } + + return st.isWord(); + } + + private BoggleDictState filter(char c, BoggleDictState st) + { + int idx = st.idx() + 1; + int from = st.from(); + int to = st.to(); + int n = st.n(); + + if (words[from].length() <= idx) { + if (n == 1) return null; + from++; + } + + boolean fromOk = (words[from].charAt(idx) == c); + boolean toOk = (words[to].charAt(idx) == c); + + if (!fromOk && (n == 1)) return null; + + // if (n < 200) { + // // lower bound + // if (!fromOk) { + // for (int i = from; i <= to; i++) { + // if (words[i].charAt(idx) == c) { + // fromOk = true; + // from = i; + // break; + // } + // } + // if (!fromOk) return null; + // } + // // upper bound + // if (!toOk) { + // for (int i = to; i >= from; i--) { + // if (words[i].charAt(idx) == c) { + // toOk = true; + // to = i; + // break; + // } + // } + // if (!toOk) return null; + // } + // } + // lower bound + if (!fromOk) { + int tob = to; + + int mid = (from + tob) / 2; + while (mid != from) { + + int diff = words[mid].charAt(idx) - c; + + if (diff > 0) { + to = mid; + tob = mid; + } else if (diff < 0) + from = mid; + else + tob = mid; + + mid = (tob + from) / 2; + } + if (!(words[from].charAt(idx) == c)) { + if (words[tob].charAt(idx) == c) from = tob; + else return null; + } + } + + // upper bound + if (!toOk) { + int fromb = from; + int mid = (fromb + to) / 2; + while (mid != fromb) { + + int diff = words[mid].charAt(idx) - c; + + if (diff <= 0) + fromb = mid; + else + to = mid; + + mid = (fromb + to) / 2; + } + if (!(words[to].charAt(idx) == c)) { + if (words[fromb].charAt(idx) == c) to = fromb; + else return null; + } + } + + boolean isWord = ((idx > 1) && ((words[from].length() - 1) == idx)); + + return new BoggleDictState((st.s() + c), idx, from, to, isWord); + } + } + + private int cols, rows; + private BoggleDict dict; + private BoggleBoard board; + private boolean[] visited; + private Set<String> result; + + // assume each word in the dictionary contains only [A-Z] + public BoggleSolverDicho(String[] dictionary) + { + dict = new BoggleDict(dictionary); + } + + // Returns the set of all valid words in the given Boggle board + public Iterable<String> getAllValidWords(BoggleBoard b) + { + this.board = b; + this.cols = board.cols(); + this.rows = board.rows(); + this.result = new HashSet<String>(); + + BoggleDictState emptyState = new BoggleDictState(0, (dict.size() - 1)); + for (int r = 0; r < this.rows; r++) { + for (int c = 0; c < this.cols; c++) { + this.visited = new boolean[this.rows * this.cols]; + explore(r, c, emptyState); + } + } + + return result; + } + + // + private void explore(int r, int c, BoggleDictState current) + { + if ((r < 0) || (r >= rows) || (c < 0) || (c >= cols)) return; + + int visitedIdx = (r * this.cols) + c; + if (visited[visitedIdx]) return; + + char ch = board.getLetter(r, c); + BoggleDictState next = dict.filter(ch, current); + if (next == null) return; + if (ch == 'Q') { + next = dict.filter('U', next); + if (next == null) return; + } + + if (next.isWord()) result.add(next.s()); + + visited[visitedIdx] = true; + + explore((r - 1), (c - 1), next); + explore((r - 1), c, next); + explore((r - 1), (c + 1), next); + explore(r, (c - 1), next); + explore(r, (c + 1), next); + explore((r + 1), (c - 1), next); + explore((r + 1), c, next); + explore((r + 1), (c + 1), next); + + visited[visitedIdx] = false; + } + + // Returns the score if it is in the dictionary, zero otherwise. + // assume the word contains only [A-Z] + public int scoreOf(String word) + { + if (!dict.exists(word)) return 0; + + int l = word.length(); + if (l < 3) { + return 0; + } else if (l < 5) { + return 1; + } else if (l < 6) { + return 2; + } else if (l < 7) { + return 3; + } else if (l < 8) { + return 5; + } else { + return 11; + } + } + + public static void main(String[] args) + { + if (args[0].equals("timing")) { + In in = new In("./data/dictionary-yawl.txt"); + String[] dictionary = in.readAllStrings(); + + Stopwatch w = new Stopwatch(); + BoggleSolver solver = new BoggleSolver(dictionary); + double dt = +w.elapsedTime(); + System.out.println("construction : "+dt); + + String s = "board-pneumonoultramicroscopicsilicovolcanoconiosis.txt"; + BoggleBoard []boards = new BoggleBoard[5]; + boards[0] = new BoggleBoard("./data/board-points4527.txt"); + boards[1] = new BoggleBoard("./data/board-points13464.txt"); + boards[2] = new BoggleBoard("./data/board-points4410.txt"); + boards[3] = new BoggleBoard("./data/board-points1250.txt"); + boards[4] = new BoggleBoard("./data/board-points1500.txt"); + // boards[1] = new BoggleBoard("./data/board-rotavator.txt"); + // boards[2] = new BoggleBoard("./data/board-16q.txt"); + // boards[4] = new BoggleBoard("./data/" + s); + + + for (int t = 0; t < 5; t++) { + w = new Stopwatch(); + for (int i = 0; i < 3000; i++) { + solver.getAllValidWords(boards[i % 5]); + } + dt = +w.elapsedTime(); + System.out.println("search time : "+dt); + } + } else { + In in = new In(args[0]); + String[] dictionary = in.readAllStrings(); + BoggleSolverDicho solver = new BoggleSolverDicho(dictionary); + BoggleBoard board = new BoggleBoard(args[1]); + int score = 0; + for (String word : solver.getAllValidWords(board)) + { + StdOut.println(word); + score += solver.scoreOf(word); + } + StdOut.println("Score = " + score); + StdOut.println("Score = " + solver.scoreOf("REQUEST")); + } + } +} diff --git a/Algorithms/Part-II/4-Boggle/Makefile b/Algorithms/Part-II/4-Boggle/Makefile index 0cd39c4..2a0c74b 100644 --- a/Algorithms/Part-II/4-Boggle/Makefile +++ b/Algorithms/Part-II/4-Boggle/Makefile @@ -2,7 +2,7 @@ CC = javac ALGS4 = ../../algs4 BIN = BoggleSolver -SRCS = BoggleSolver.java +SRCS = BoggleSolver.java BoggleHybridTST.java CLASSPATH = -classpath '.:$(ALGS4)/algs4.jar:$(ALGS4)/stdlib.jar' .SUFFIXES: @@ -11,7 +11,7 @@ CLASSPATH = -classpath '.:$(ALGS4)/algs4.jar:$(ALGS4)/stdlib.jar' .java.class: $(CC) -Xlint $(CLASSPATH) $< - $(ALGS4)/bin/checkstyle $< + -$(ALGS4)/bin/checkstyle $< BoggleBoard.class: BoggleBoard.java $(CC) -Xlint $(CLASSPATH) $< @@ -21,10 +21,26 @@ BoggleGame.class: BoggleGame.java $(BIN): $(BIN).class -test: $(BIN) BoggleBoard.class BoggleGame.class - java $(CLASSPATH) $(BIN) ./data/dictionary-algs4.txt ./data/board-points4.txt - java $(CLASSPATH) $(BIN) ./data/dictionary-algs4.txt ./data/board-points5.txt - java $(CLASSPATH) $(BIN) ./data/dictionary-algs4.txt ./data/board-points200.txt +test: $(BIN) BoggleHybridTST.class + -@rm out + java $(CLASSPATH) BoggleHybridTST ./data/dictionary-zingarelli2005.txt > out + java $(CLASSPATH) $(BIN) ./data/dictionary-algs4.txt ./data/board4x4.txt >> out + java $(CLASSPATH) $(BIN) ./data/dictionary-algs4.txt ./data/board-q.txt >> out + -@diff out ref && echo "SUCCESS" || echo "ERROR" + +timing: $(BIN) BoggleHybridTST.class BoggleSolverDicho.class + java $(CLASSPATH) $(BIN) timing + java $(CLASSPATH) BoggleSolverDicho timing + +game: $(BIN) BoggleBoard.class BoggleGame.class BoggleHybridTST.class + java $(CLASSPATH) BoggleGame + +dicho: BoggleSolverDicho.class + -@rm out + java $(CLASSPATH) BoggleHybridTST ./data/dictionary-zingarelli2005.txt > out + java $(CLASSPATH) BoggleSolverDicho ./data/dictionary-algs4.txt ./data/board4x4.txt >> out + java $(CLASSPATH) BoggleSolverDicho ./data/dictionary-algs4.txt ./data/board-q.txt >> out + -@diff out ref && echo "SUCCESS" || echo "ERROR" zip: $(BIN) $(ALGS4)/bin/findbugs $(BIN).class diff --git a/Algorithms/Part-II/4-Boggle/out b/Algorithms/Part-II/4-Boggle/out Binary files differnew file mode 100644 index 0000000..5aa7f8e --- /dev/null +++ b/Algorithms/Part-II/4-Boggle/out diff --git a/Algorithms/Part-II/4-Boggle/ref b/Algorithms/Part-II/4-Boggle/ref Binary files differnew file mode 100644 index 0000000..5aa7f8e --- /dev/null +++ b/Algorithms/Part-II/4-Boggle/ref |