From bd1601a6265630fdf02d4f34d08f47364dc5ad0c Mon Sep 17 00:00:00 2001 From: Mincong HUANG Date: Wed, 2 Nov 2016 17:10:24 +0100 Subject: [PATCH] add assignment 1 - Percolation --- lib/algs4.jar | Bin 0 -> 1958851 bytes percolation/Percolation.java | 130 ++++++++++++++++++++++++++++++ percolation/PercolationStats.java | 83 +++++++++++++++++++ percolation/README.md | 14 ++++ 4 files changed, 227 insertions(+) create mode 100644 lib/algs4.jar create mode 100644 percolation/Percolation.java create mode 100644 percolation/PercolationStats.java create mode 100644 percolation/README.md diff --git a/lib/algs4.jar b/lib/algs4.jar new file mode 100644 index 0000000000000000000000000000000000000000..c89e929251c73593b1094b816d42ec27dec7d5bc GIT binary patch literal 1958851 zcmaI7Q

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zsQNOkPHFBO6TjcL2qW!}G+7+&=0PmjBO*Eu&(%|(D@6n(=sUN^4CoJka1kRGp(!I+ zsC+(K>%0istL3WCZeyes5WhtK+BTepYR+P+#Ymd1YBy4UFAu}ZMJnDxn63B(mTJsI z#fwsm36hALRjIw!kV0-U%QBgq?%S!v44hPFiw%@uE-X$gJC0k%GKG#Inr^p>QIMm! zx-`4xS6JVE@<SPPqCZ3r-mUo g8g-B+;V~oqyi35n7z`VWZY-LWi-p-+?6esE2f&VU`Tzg` literal 0 HcmV?d00001 diff --git a/percolation/Percolation.java b/percolation/Percolation.java new file mode 100644 index 0000000..9edebb5 --- /dev/null +++ b/percolation/Percolation.java @@ -0,0 +1,130 @@ +import edu.princeton.cs.algs4.StdIn; +import edu.princeton.cs.algs4.StdOut; +import edu.princeton.cs.algs4.WeightedQuickUnionUF; + +/** + * Percolation. Given a composite systems comprised of randomly distributed + * insulating and metallic materials: what fraction of the materials need to be + * metallic so that the composite system is an electrical conductor? Given a + * porous landscape with water on the surface (or oil below), under what + * conditions will the water be able to drain through to the bottom (or the oil + * to gush through to the surface)? Scientists have defined an abstract process + * known as percolation to model such situations. + * + * @see {@link http://coursera.cs.princeton.edu/algs4/assignments/percolation.html} + * @author Mincong Huang + */ +public class Percolation { + + private WeightedQuickUnionUF weightedQU; + private boolean isOpen[]; + private int indexTop; + private int indexBottom; + private int N; + + /** + * Create n-by-n grid, with all sites blocked + * + * @param n length and width of the grid + */ + public Percolation(int n) { + if (n <= 0) { + throw new IllegalArgumentException("Value n must be greater than 0."); + } + N = n; + indexTop = 0; + indexBottom = n * n + 1; + weightedQU = new WeightedQuickUnionUF(indexOf(n, n) + 2); + isOpen = new boolean[indexOf(n, n) + 2]; + isOpen[indexTop] = true; + isOpen[indexBottom] = true; + } + + /** + * Convert a 2D coordinate to 1D. The indexes are first converted from + * base-1 to base-0, then converted from 2D to 1D. + * + * @param row base-1 index of row + * @param col base-1 index of column + */ + private int indexOf(int row, int col) { + int row0 = row + 1; + int col0 = col + 1; + return (row0 - 1) * (N + 1) + col0; + } + + /** + * Open site (row, col) if it is not open already + * + * @param row base-1 index of row + * @param col base-1 index of column + */ + public void open(int row, int col) { + + checkBounds(row, 1, N); + checkBounds(col, 1, N); + + int currIndex = indexOf(row, col); + isOpen[currIndex] = true; + + if (row == 1) { + weightedQU.union(currIndex, indexTop); // Top + } + if (row == N) { + weightedQU.union(currIndex, indexBottom); // Bottom + } + if (row > 1 && isOpen(row - 1, col)) { + weightedQU.union(currIndex, indexOf(row - 1, col)); // North + } + if (row < N && isOpen(row + 1, col)) { + weightedQU.union(currIndex, indexOf(row + 1, col)); // South + } + if (col > 1 && isOpen(row, col - 1)) { + weightedQU.union(currIndex, indexOf(row, col - 1)); // West + } + if (col < N && isOpen(row, col + 1)) { + weightedQU.union(currIndex, indexOf(row, col + 1)); // East + } + } + + /** + * Is site (row, col) open? + * + * @param row base-1 index of row + * @param col base-1 index of column + */ + public boolean isOpen(int row, int col) { + checkBounds(row, 1, N); + checkBounds(col, 1, N); + return isOpen[indexOf(row, col)]; + } + + /** + * Is site (row, col) full? + * + * @param row base-1 index of row + * @param col base-1 index of column + */ + public boolean isFull(int row, int col) { + checkBounds(row, 1, N); + checkBounds(col, 1, N); + return weightedQU.connected(indexTop, indexOf(row, col)); + } + + /** + * Does the system percolate? + */ + public boolean percolates() { + return weightedQU.connected(indexTop, indexBottom); + } + + private void checkBounds(int val, int min, int max) { + if (val < min || val > max) + new IndexOutOfBoundsException( + "Value should be between " + min + " and " + max); + } + + public static void main(String[] args) { + StdOut.println("Please run PercolationStats instead."); + } +} diff --git a/percolation/PercolationStats.java b/percolation/PercolationStats.java new file mode 100644 index 0000000..beb2935 --- /dev/null +++ b/percolation/PercolationStats.java @@ -0,0 +1,83 @@ +import edu.princeton.cs.algs4.StdOut; +import edu.princeton.cs.algs4.StdRandom; +import edu.princeton.cs.algs4.StdStats; + +/** + * Perform a series of computational experiments. + * + * @author Mincong Huang + */ +public class PercolationStats { + + private double[] fractions; + + /** + * Perform trials independent experiments on an n-by-n grid. + */ + public PercolationStats(int n, int trials) { + if (n <= 0) { + throw new IllegalStateException("n must be greater than 0."); + } + if (trials <= 0) { + throw new IllegalStateException("trials must be greater than 0."); + } + fractions = new double[trials]; + for (int i = 0; i < trials; i++) { + Percolation percolation = new Percolation(n); + int openedSites = 0; + while (!percolation.percolates()) { + int row = StdRandom.uniform(n) + 1; // base-1 + int col = StdRandom.uniform(n) + 1; // base-1 + if (!percolation.isOpen(row, col)) { + percolation.open(row, col); + openedSites++; + } + } + fractions[i] = openedSites * 1.0 / (n * n); + } + } + + /** + * Sample mean of percolation threshold. + */ + public double mean() { + return StdStats.mean(fractions); + } + + /** + * Sample standard deviation of percolation threshold. + */ + public double stddev() { + return StdStats.stddev(fractions); + } + + /** + * Low end point of 95% confidence interval. + */ + public double confidenceLo() { + return mean() - 1.96 * stddev() / Math.sqrt(fractions.length); + } + + /** + * High end point of 95% confidence interval. + */ + public double confidenceHi() { + return mean() + 1.96 * stddev() / Math.sqrt(fractions.length); + } + + /** + * test client (described below) + */ + public static void main(String[] args) { + + int n = Integer.parseInt(args[0]); + int trials = Integer.parseInt(args[1]); + PercolationStats stats = new PercolationStats(n, trials); + + StdOut.println("mean = " + stats.mean()); + StdOut.println("stddev = " + stats.stddev()); + StdOut.println("95% confidence interval = " + + stats.confidenceLo() + ", " + + stats.confidenceHi()); + } +} diff --git a/percolation/README.md b/percolation/README.md new file mode 100644 index 0000000..1dd1511 --- /dev/null +++ b/percolation/README.md @@ -0,0 +1,14 @@ +# How to run + +The program `PercolationStats` takes two command-line arguments _n_ and _T_, +performs _T_ independent computational experiments on an _n_ * _n_ grid, and +prints the mean, standard deviation, and the 95% confidence interval for the +percolation threshold. For more informations, check [the official assignment +description][1]. + +## Mac OS + + $ javac -cp ../lib/* Percolation.java PercolationStats.java + $ java -cp "../lib/*" PercolationStats 200 1000 + +[1]: http://coursera.cs.princeton.edu/algs4/assignments/percolation.html

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