Repository: jpa99/Algorithms Branch: master Commit: 694d3b302043 Files: 145 Total size: 23.4 MB Directory structure: gitextract_4er3oeyk/ ├── .gitignore ├── Computational Geometry/ │ ├── GrahamScan.java │ ├── JarvisMarch.java │ └── README.md ├── DP/ │ ├── Edit_Distance.java │ ├── Knapsack.java │ ├── LCS.java │ ├── README.md │ └── maxDonations.java ├── Data Structures/ │ ├── BinaryTree.java │ ├── Binary_Indexed_Tree.java │ ├── Edge.java │ ├── Graphs.java │ ├── README.md │ ├── Tree.java │ └── Vertex.java ├── GoogleCodeJam/ │ ├── ABBA.java │ ├── Alphabet_Cake.java │ ├── BFCalculator.java │ ├── Bathroom_Stalls.java │ ├── Close_Match.java │ ├── Coin_Jam.java │ ├── Counting_Sheep.java │ ├── CrossOver.java │ ├── Digits.java │ ├── Oversized_Pancake_Flipper.java │ ├── Pancakes.java │ ├── Prison_Break.java │ ├── README.md │ ├── Solution.java │ ├── Super_Substrings.java │ └── Tidy_Numbers.java ├── Graph/ │ ├── BFS.java │ ├── Bellman_Ford.java │ ├── DFS.java │ ├── Dijkstra.java │ ├── Edge.java │ ├── Floyd_Warshall.java │ ├── Ford_Fulkerson.java │ ├── Graph_Traversal.java │ ├── Graphs.java │ ├── Johnson │ ├── Karger.java │ ├── Prim.java │ ├── README.md │ └── Vertex.java ├── LICENSE ├── Math/ │ └── README.md ├── Miscellaneous/ │ ├── Fisher_Yates.java │ ├── Matrix_Exponentiation.java │ ├── README.md │ └── Subarray_Inversions.java ├── Optimization/ │ ├── LightConfigurationOptimization.java │ ├── LightConfigurationOptimizationSA.java │ ├── LocationalOptimizationIterative.java │ └── README.md ├── ProjectEuler/ │ ├── Amicable_numbers.java │ ├── Coded_triangle_numbers.java │ ├── Collatz_sequence.java │ ├── Combinatoric_selections.java │ ├── Concealed_square.java │ ├── Consecutive_distinct_prime_factors.java │ ├── Counting_sundays.java │ ├── Digit_factorials.java │ ├── Digit_fifth_power.java │ ├── Distinct_powers.java │ ├── Even_fibonacci_sum.java │ ├── Factorial_digit_sum.java │ ├── Grid_product_maximum.java │ ├── Highly_divisible_triangular.java │ ├── Large_sum.java │ ├── Largest_consecutive_product.java │ ├── Lexicogrphic_permutations.java │ ├── MATH_TOOLBOX.java │ ├── Names_scores.java │ ├── Nontrivial_digit_cancelling_fractions.java │ ├── Nth_digit_powers.java │ ├── Number_letter_counts.java │ ├── PLAYGROUND.java │ ├── Pandigital_prime.java │ ├── Permuted_multiples.java │ ├── Prime_Summation.java │ ├── Prime_factorization.java │ ├── Pythagorean_triplet.java │ ├── README.md │ ├── Reverse_message.java │ ├── Smallest_multiple.java │ ├── Square_digit_chains.java │ ├── Thousand_digit_fibonacci.java │ ├── Totient_maximum.java │ ├── Totient_permutations.java │ └── primes.java ├── README.md ├── Searching/ │ └── README.md ├── Sorting/ │ ├── Bogosort.java │ ├── Bubble_Sort.java │ ├── Counting_Sort.java │ ├── Heapsort.java │ ├── Insertion_Sort.java │ ├── Mergesort.java │ ├── Quicksort.java │ ├── README.md │ ├── Radix_Sort.java │ ├── Selection_Sort.java │ ├── Sorting.java │ └── Timsort.java ├── Strings/ │ ├── Boyer_Moore.java │ ├── KMP.java │ ├── Naive_String_Searching.java │ ├── README.md │ ├── Rabin_Karp.java │ ├── String_Algorithms.java │ ├── Strings_d.in │ └── Strings_random.in └── USACO/ ├── AngryCows.java ├── AngryCows2.java ├── BovineGenomics.java ├── BovineGenomics_bruteforce.java ├── BuildGates.java ├── CircularBarn.java ├── CowCode.java ├── CowDanceShow.java ├── CowTip.java ├── FencePainting.java ├── HPS.java ├── Haybales.java ├── HoofPaperScissors.java ├── LoadBalancing.java ├── MilkPails.java ├── ModernArt.java ├── ModernArt2.java ├── ModernArt2_bruteforce.java ├── MowingField.java ├── NotLast.java ├── PromotionCounting.java ├── README.md ├── SeqSum7.java ├── asdf.java ├── friday.java ├── gift1.java ├── marathon.java ├── reorder.java ├── ride.java ├── sample.java └── test.java ================================================ FILE CONTENTS ================================================ ================================================ FILE: .gitignore ================================================ # Compiled class file *.class # Log file *.log # BlueJ files *.ctxt # Mobile Tools for Java (J2ME) .mtj.tmp/ # Package Files # *.jar *.war *.ear *.zip *.tar.gz *.rar # virtual machine crash logs, see http://www.java.com/en/download/help/error_hotspot.xml hs_err_pid* ================================================ FILE: Computational Geometry/GrahamScan.java ================================================ import java.util.Arrays; import java.util.Stack; public class GrahamScan { /*Graham's Scan Problem (informal): Find convex hull surrounding a set of points Algorithm: Find lowest point and sort remaining points by polar angle, push onto stack if left turn Complexity: * Time - O(nlogn) due to sorting; actual online algorithm is linear * Space - O(n) to store set of points Functions Defined: * graham() - Graham's scan algorithm * polarbubblesort() - Sorts points in order of increasing polar angle from minimum * angle() - Computes angle between two lines given by three points * dot() - computes dot product between two vectors to easily find angle * norm() - computes magnitude of a vector * cross() - finds cross product between two vectors to determine angle concavity * d() - distance function, computes distance between two poitns */ public static void main(String[] args) { //test set of points int[][] points = {{0, -2}, {2, 0}, {2, 20}, {1, 1}, {1, 2}, {-2, 0}, {-1, -1}}; //Graham's Scan Stack s = graham(points); for(int[] x : s){ System.out.println(Arrays.toString(x)); } } //Currently O(n^2) because of inefficient polar sort; use O(nlogn) sort to improve public static Stack graham(int[][] points){ Stack stack = new Stack(); //find lowest point -- guaranteed to be included in int minindex = 0; for(int i=0;i= 180){ stack.pop(); } stack.push(points[i]); } return stack; } //O(n^2) TIME, O(1) SPACE, STABLE //Improve to O(nlogn) public static int[][] polarbubblesort(int[][] arr, int[] min, int[] parmin){ for(int i=0;i 0) val = 360 - val; return val; } public static double dot(int[] v1, int[] v2){ return v1[0]*v2[0] + v1[1]*v2[1]; } public static double norm(int[] v){ return Math.sqrt(v[0]*v[0] + v[1]*v[1]); } public static int cross(int[] v1, int[] v2){ return v1[0]*v2[1] - v2[0]*v1[1]; } public static double d(int[] a, int[] b){ return Math.sqrt(Math.pow(b[0] - a[0], 2) + Math.pow(b[1] - a[1], 2)); } } ================================================ FILE: Computational Geometry/JarvisMarch.java ================================================ import java.util.Arrays; import java.util.Stack; public class JarvisMarch { /*Jarvis March Problem (informal): Find convex hull surrounding a set of points Algorithm: Find lowest point and highest points, simulate wrapping string tightly around points Complexity: * Time - O(nh) where n is number of points and h is number of points on convex hull * Space - O(n) to store set of points Functions Defined: * jarvis() - Jarvis march algorithm * angle() - Computes angle between two lines given by three points * dot() - computes dot product between two vectors to easily find angle * norm() - computes magnitude of a vector * cross() - finds cross product between two vectors to determine angle concavity * d() - distance function, computes distance between two poitns */ public static void main(String[] args) { //test set of points int[][] points = {{0, -2}, {2, 0}, {2, 20}, {1, 1}, {1, 2}, {-2, 0}, {-1, -1}}; //Graham's Scan Stack s = jarvis(points); for(int[] x : s){ System.out.println(Arrays.toString(x)); } } //Jarvis March algorithm public static Stack jarvis(int[][] points){ Stack stack = new Stack(); //find lowest & highest points -- guaranteed to be included in convex hull int minindex = 0, maxindex = 0; for(int i=0;i points[maxindex][1]) maxindex = i; } int chain = 1; stack.push(points[minindex]); int lastindex = minindex; while(lastindex != minindex || stack.size() == 1){ int[] parmin = {points[lastindex][0] + chain, points[lastindex][1]}; double minangle = 361; int nextindex = 0; for(int i=0; i < points.length; i++){ if(i == lastindex) continue; double angle = angle(points[i], points[lastindex], parmin); if(angle < minangle){ minangle = angle; nextindex = i; } } stack.push(points[nextindex]); lastindex = nextindex; if(lastindex == maxindex){ chain = -1; } } stack.pop(); return stack; } public static double angle(int[] a, int[] b, int[] c){ int[] v1 = {a[0] - b[0], a[1] - b[1]}; int[] v2 = {c[0] - b[0], c[1] - b[1]}; double val = Math.acos(dot(v1, v2)/(norm(v1)*norm(v2)))*180/Math.PI; if(cross(v1, v2) > 0) val = 360 - val; return val; } public static double dot(int[] v1, int[] v2){ return v1[0]*v2[0] + v1[1]*v2[1]; } public static double norm(int[] v){ return Math.sqrt(v[0]*v[0] + v[1]*v[1]); } public static int cross(int[] v1, int[] v2){ return v1[0]*v2[1] - v2[0]*v1[1]; } public static double d(int[] a, int[] b){ return Math.sqrt(Math.pow(b[0] - a[0], 2) + Math.pow(b[1] - a[1], 2)); } } ================================================ FILE: Computational Geometry/README.md ================================================ # Computational Geometric Algorithms ## Convex Hull * [Graham's Scan](https://github.com/jpa99/Algorithms/blob/master/Computational%20Geometry/GrahamScan.java) * [Jarvis March](https://github.com/jpa99/Algorithms/blob/master/Computational%20Geometry/JarvisMarch.java) ================================================ FILE: DP/Edit_Distance.java ================================================ import java.util.Arrays; public class Edit_Distance { /*Edit (Levenshtein Distance) Algorithm Problem (informal): Given two strings, find minimum number of deletions, insertions, or replacements required to transform Algorithm: If characters are same, continue, else, consider removal, deletion, and replacement and consider minimum recursively Complexity: * Time - O(n^2) * Space - O(n^2) with memoization and O(1) without Functions Defined: * editDistanceIterative() - Bottom up implementation, finds minimum iteratively * editDistanceRecursive() - Top down implementation, recursive */ static int[][] dp; public static void main(String[] args) { String a = "hey if you like this repository, you should give it a star!"; String b = "I'd appreciate any feedback or requests -- just fork this repo and add to the README.md"; dp = new int [a.length()+1][b.length()+1]; for(int[] row :dp){ Arrays.fill(row, -1); } System.out.println(editDistanceIterative(a, b)); System.out.println(editDistanceTD(a, b)); } public static int editDistanceIterative(String a, String b){ int[][] dp = new int[a.length()+1][b.length()+1]; for(int i=0; i <= a.length();i++){ for(int j=0; j <= b.length();j++){ if(i==0 || j==0) dp[i][j] = i+j; else if(a.charAt(i-1) == b.charAt(j-1)) dp[i][j] = dp[i-1][j-1]; else dp[i][j] = 1 + Math.min(Math.min(dp[i-1][j], dp[i][j-1]), dp[i-1][j-1]); } } return dp[a.length()][b.length()]; } //minimal # of insertions, substitutions, deletions required to change String a to b public static int editDistanceTD(String a, String b){ int m = a.length(); int n = b.length(); if(dp[m][n] !=-1){ return dp[m][n]; } if(m==0 || n==0){ dp[m][n] = m+n; return dp[m][n]; } if(a.charAt(m-1) == b.charAt(n-1)){ dp[m][n] = editDistanceTD(a.substring(0, m-1), b.substring(0, n-1)); return dp[m][n]; } dp[m][n] = 1 + Math.min(Math.min(editDistanceTD(a.substring(0, m-1), b), editDistanceTD(a, b.substring(0, n-1))), editDistanceTD(a.substring(0, m-1), b.substring(0, n-1))); return dp[m][n]; } } ================================================ FILE: DP/Knapsack.java ================================================ import cern.colt.Arrays; import java.util.*; public class Knapsack { /*0-1 Knapsack Probelm Problem (informal): Given set of items with cost and weight, find subset of items such that net weight does not exceed W and set has maximum total cost Algorithm: Recursive -- try each possible item and calculate max of remaining Complexity: * Time - O(nW) where W is the maximum weight possible * Space - O(n) only one array for number of items. Functions Defined: * knapsackTD() - Recursively consideres one less item and maximum of remaining subset * fractionalknapsack() - Pretty trivial -- greedy algorithm suffices. Solved in O(nlogn) but also possible in O(n) via weighted medians */ static int[][] items; static int maxweight; public static void main(String[] args){ int[][] itemsx = {{60, 10}, {100, 20}, {120, 30}}; //{cost, weight} items = itemsx; maxweight = 50; boolean[] insert = new boolean[items.length]; //System.out.println(knapsackBU(items, maxweight)); System.out.println(knapsackTD(maxweight, insert)); } public static int knapsackTD(int maxweight, boolean[] insert){ int max = 0; for(int i=0;i= items[i][1]){ boolean[] insertclone = insert.clone(); insertclone[i] = true; max = Math.max(items[i][0] + knapsackTD(maxweight - items[i][1], insertclone), max); } } return max; } public static void fractionalknapsack(){ //greedy //I don't think it's necessary to implement this since it's pretty straightforward. //Just find the item with largest cost and take as much of it as possible. If you take all of it, continue to next largest. } } ================================================ FILE: DP/LCS.java ================================================ import java.util.*; import cern.colt.Arrays; public class LCS { /*Longest Common Subsequence (LCS) Problem (informal): Given two arrays, find largest subsequence of both arrays Algorithm: If elements at position i are equal, find LCS of subarrays [0, i-1], else find max of both possible cases Complexity: * Time - O(n^2) * Space - O(n^2) with memoization and O(1) without Functions Defined: * iterativeLCS() - Bottom up implementation, finds longest length and reconstructs sequence * recursiveLCS() - Top down implementation, only outputs length of sequence */ static int[] arr1; static int[] arr2; static int[][] dp; static Stack solution = new Stack(); public static void main(String[] args) { int[] arrA = {1, 2, 3, 4, 7, 5, 9}; int[] arrB = {1, 4, 3, 7, 9, 5}; arr1 = arrA; arr2 = arrB; System.out.println(Arrays.toString(iterativeLCS(arrA, arrB))); } public static int[] iterativeLCS(int[] a, int[] b){ int[][] dp = new int[a.length+1][b.length+1]; for(int i = 1; i <= a.length; i++){ for(int j = 1; j <= b.length; j++){ if(a[i-1] == b[j-1]){ dp[i][j] = 1 + dp[i-1][j-1]; } else{ dp[i][j] = Math.max(dp[i-1][j], dp[i][j-1]); } } } int[] lcs = new int[dp[a.length][b.length]]; int index = lcs.length-1; int i=a.length; int j = b.length; while(i > 0 && j > 0){ if(a[i-1] == b[j-1]){ lcs[index] = a[i-1]; i--; j--; index--; } else if(dp[i-1][j] >= dp[i][j-1]) i--; else j--; } return lcs; } public static int recursiveLCS(int a, int b){ if(a < 0 || b < 0) return 0; if(arr1[a] == arr2[b]){ solution.push(arr1[a]); dp[a][b] = 1 + recursiveLCS(a-1, b-1); return dp[a][b]; } int opt1 = recursiveLCS(a, b-1); int opt2 = recursiveLCS(a-1, b); if(opt1 >= opt2){ dp[a][b] = opt1; } else{ dp[a][b] = opt2; } return dp[a][b]; } } ================================================ FILE: DP/README.md ================================================ # Dynamic Programming Algorithms * [0-1 Knapsack](https://github.com/jpa99/Algorithms/blob/master/DP/Knapsack.java) * [Edit (Levenshtein) Distance](https://github.com/jpa99/Algorithms/blob/master/DP/Edit_Distance.java) * Longest Increasing Subsequence * [Longest Common Subsequence](https://github.com/jpa99/Algorithms/blob/master/DP/LCS.java) * [Maximum Nonadjacent Subset Sum](https://github.com/jpa99/Algorithms/blob/master/DP/maxDonations.java) * Maximum Subset Sum ================================================ FILE: DP/maxDonations.java ================================================ public class maxDonations { /*Maximum Donations (Topcoder) Problem (informal): Given set S of values, find subset Q of values with maximum sum such that no two values in Q are adjacent in S Algorithm: Recursive -- two possibilities at each branch, test both Complexity: * Time - O(n^2) - each branches off into two possibilities * Space - O(n^2) due to DP array Functions Defined: * maxDonations() - main algorithm */ static int[] arr; static int len; static int[][] dp; public static void main(String[] args) { int[] arr2 = {10, 3, 2, 5, 7, 8}; //{10, 4, 5} arr = arr2; len = arr.length; dp = new int[len][len]; } public static int maxDonations(int start, int end){ if(end - start ==2) return Math.max(Math.max(arr[start], arr[end]), arr[start+1]); if(end - start <=1) return Math.max(arr[start], arr[end]); int start1 = (start+1)%len; int val = arr[start]; int start2 = start, end2 = end; if(start == 0){ start2+=2; } else{ start2+=2; } dp[start][end] = Math.max(maxDonations(start1, end), val + maxDonations(start2, end2)); return dp[start][end]; } } ================================================ FILE: Data Structures/BinaryTree.java ================================================ import java.util.*; import java.util.Arrays; public class BinaryTree { public static void main(String[] args) { //Initialize tree manually BinaryTreeNode root = new BinaryTreeNode(1); root.leftChild = new BinaryTreeNode(3); root.rightChild = new BinaryTreeNode(8); root.rightChild.rightChild = new BinaryTreeNode(4); System.out.println(balance(root)); //Initialize and balance tree from array int[] BinaryTreeArray = {1, 4, 3, 5, 6, 8, 2, 12, 4, 15, 6, 9}; BinaryTreeNode tree = createBinaryTree(BinaryTreeArray); System.out.println(tree); System.out.println(balance(tree)); } public static BinaryTreeNode createBinaryTree(int[] binaryTreeArray){ if(binaryTreeArray.length == 0) return null; if(binaryTreeArray.length == 1) return new BinaryTreeNode((int) binaryTreeArray[0]); int mid = (binaryTreeArray.length)/2; BinaryTreeNode root = new BinaryTreeNode((int) binaryTreeArray[mid]); root.rightChild = createBinaryTree(Arrays.copyOfRange(binaryTreeArray, mid+1, binaryTreeArray.length)); root.leftChild = createBinaryTree(Arrays.copyOfRange(binaryTreeArray, 0, mid)); return root; } // public static BinaryTreeNode balance(BinaryTreeNode tree){ return createBinaryTree(tree.toArray()); } //TreeNode data structure static class BinaryTreeNode{ public int val = -1; public BinaryTreeNode leftChild; public BinaryTreeNode rightChild; public BinaryTreeNode(int val){ this.val = val; leftChild = null; rightChild = null; } public String toString(){ String left = leftChild == null ? "":leftChild.toString(); String right = rightChild == null ? "":rightChild.toString(); return val+" "+left+right; } public ArrayList toArrayList(){ ArrayList left = leftChild == null ? new ArrayList():leftChild.toArrayList(); ArrayList right = rightChild == null ? new ArrayList():rightChild.toArrayList(); ArrayList list = new ArrayList(); list.add(val); list.addAll(left); list.addAll(right); return list; } public int[] toArray(){ return toArrayList().stream().mapToInt(i -> i).toArray(); } } } ================================================ FILE: Data Structures/Binary_Indexed_Tree.java ================================================ public class Binary_Indexed_Tree { public static void main(String[] args) throws IOException { //testting BIT BIT bit = new BIT(12); bit.update(4, 1); bit.update(3, 1); bit.update(5, 1); bit.update(2, 1); bit.update(5, 1); bit.update(4, -1); int a = bit.read(9); System.out.println(a); } static class BIT{ int[] binary_indexed_tree; int maxVal; public BIT(int n){ binary_indexed_tree = new int[++n]; maxVal = n; } public void update(int index, int val){ while (index <= maxVal){ tree[index] += val; index += (index & -index); //last bit removal } } //Returns the cumulative frequency of index index public int read(int index){ int sum=0; while (index>0){ sum += tree[index]; index -= (index & -index); } return sum; } } } ================================================ FILE: Data Structures/Edge.java ================================================ public class Edge { //Edge class with built in functions; used for Graph class private int weight; private Vertex v1; private Vertex v2; private boolean directed=false; public Edge(int weight, int value1, int value2){ this.weight=weight; v1=new Vertex(value1); v2=new Vertex(value2); } public Edge(int weight, int value1, int value2, boolean directed){ this.weight=weight; v1=new Vertex(value1); v2=new Vertex(value2); directed=true; } //returns whether or not the edge is incident to the input vertex public boolean incident(int vertex){ return vertex==v1.getValue() || vertex==v2.getValue(); } public Vertex getVertex1(){ return v1; } public Vertex getVertex2(){ return v2; } public int getWeight(){ return weight; } public boolean getDirected(){ return directed; } public void makeDirected(){ directed=true; } public void swap(){ Vertex temp=v2; v2=v1; v1=temp; } public String toString(){ return weight+"["+v1+","+v2+"]"; } } ================================================ FILE: Data Structures/Graphs.java ================================================ public class Graphs { //Graph class with certain built in algorithms private Edge[] edges; private Vertex[] vertices; public Graphs(Vertex[] vertices, Edge[] edges){ this.vertices=vertices; this.edges=edges; } //Returns whether or not graph contains input vertex public boolean hasVertex(Vertex v){ for(Vertex vertex:vertices){ if(vertex.getValue()==v.getValue()){ return true; } } return false; } //returns sum of edge weights in graph public int getCost(){ int sum=0; for(Edge e:edges){ sum+=e.getWeight(); } return sum; } public Edge[] getEdges(){ return edges; } public String[] vertex(){ String[] v= new String[vertices.length]; for(int i=0;i tree = new Node("Parent"); tree.add(new Node("child")); tree.getChildren().get(0); } public static class Node { private List> children = new ArrayList>(); private Node parent = null; private T data = null; public Node(T data) { this.data = data; } public Node(T data, Node parent) { this.data = data; this.parent = parent; } public List> getChildren() { return children; } public void setParent(Node parent) { parent.add(this); this.parent = parent; } public void add(T data) { Node child = new Node(data); child.setParent(this); this.children.add(child); } public void add(Node child) { child.setParent(this); this.children.add(child); } public T data() { return this.data; } public void setData(T data) { this.data = data; } public boolean isRoot() { return (this.parent == null); } public boolean isLeaf() { return this.children.size() == 0; } public void removeParent() { this.parent = null; } } public class Graph { private Edge[] edges; private Vertex[] vertices; public Graph(Vertex[] vertices, Edge[] edges){ this.vertices=vertices; this.edges=edges; } //Returns whether or not graph contains input vertex public boolean hasVertex(Vertex v){ for(Vertex vertex:vertices){ if(vertex.getValue()==v.getValue()){ return true; } } return false; } //returns sum of edge weights in graph public int getCost(){ int sum=0; for(Edge e:edges){ sum+=e.getWeight(); } return sum; } public Edge[] getEdges(){ return edges; } public String[] vertex(){ String[] v= new String[vertices.length]; for(int i=0;iinitial.length()){ String ch=""; int len=target.length(); if(fwd){ ch=target.substring(len-1); target=target.substring(0, len-1); } else{ ch=target.substring(0, 1); target=target.substring(1); } if(ch.equals("B")){ fwd=!fwd; } } if(fwd && initial.equals(target)) return "possible"; else if(!fwd){ int l=target.length(); for(int i=0;i nonfree=new ArrayList(); HashMap> map=new HashMap>(); for(int i=0;i ar=map.get(x); ar.add(asdf); map.put(x, ar); } } Iterator>> it = map.entrySet().iterator(); while (it.hasNext()) { Map.Entry> pair = (Map.Entry>)it.next(); ArrayList arr=pair.getValue(); char cc=pair.getKey(); it.remove(); boolean h=false, v=false; for(int k=1;k 1){ int sr=arr.get(0)[0], er=arr.get(arr.size())[0]; int sc=arr.get(0)[1], ec=arr.get(arr.size())[1]; break; } if(Math.abs(arr.get(k)[1]-arr.get(k-1)[1]) > 1){ int sr=arr.get(0)[0], er=arr.get(arr.size())[0]; int sc=arr.get(0)[1], ec=arr.get(arr.size())[1]; break; } } if(!(v || h)) continue; int sr=arr.get(0)[0], er=arr.get(arr.size())[0]; int sc=arr.get(0)[1], ec=arr.get(arr.size())[1]; for(int[] p:pair.getValue()){ cake[p[0]][p[1]]=cc; } } String output="Case #"+cases+": "; System.out.println(output); writer.println(output); } writer.close(); } //Print line public static void print(T t){ System.out.println(t); } //Optimized Scanner Class, includes next String, int, Long, double, line static class Scan{ BufferedReader br; StringTokenizer st; public Scan(String file) throws IOException{ br = new BufferedReader(new InputStreamReader(new FileInputStream(file))); } String next(){ while (st == null || !st.hasMoreElements()){ try{ st = new StringTokenizer(br.readLine()); } catch (IOException e){ e.printStackTrace(); } } return st.nextToken(); } int nextInt(){ return Integer.parseInt(next()); } long nextLong(){ return Long.parseLong(next()); } double nextDouble(){ return Double.parseDouble(next()); } String nextLine(){ String str = ""; try{ str = br.readLine(); } catch (IOException e){ e.printStackTrace(); } return str; } } } ================================================ FILE: GoogleCodeJam/BFCalculator.java ================================================ public class BFCalculator { public static void main(String[] args) { // TODO Auto-generated method stub } } ================================================ FILE: GoogleCodeJam/Bathroom_Stalls.java ================================================ import java.io.File; import java.io.PrintWriter; import java.util.Arrays; import java.util.Scanner; public class Bathroom_Stalls { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("bathroom.in")); PrintWriter writer=new PrintWriter(new File("output.txt")); int numCases=scan.nextInt(); for(int cases=1;cases<=numCases;cases++){ int n=scan.nextInt(); int k=scan.nextInt(); k++; boolean[] stalls=new boolean[n+2]; stalls[0]=true; stalls[n+1]=true; for(int x=1;x<=n;x++){ stalls[x]=false; } //[true, false, false, false, true]// int[][] values=new int[n+2][2]; int[] arr={-1, -1}; values[0]=arr; values[n+1]=arr; int lastindex=0; while(--k>0){ int minimax=-1, maximax=-1, nummin=0, indexofmin=0, indexofmax=0; for(int i=1;i=0;j--){ if(stalls[j]) break; left++; } for(int j=i+1;j minimax){ minimax=Math.min(left, right); nummin=0; indexofmin=i; maximax=Math.max(left, right); indexofmax=i; } else if(Math.min(left, right) == minimax){ nummin++; if(Math.max(left, right) > maximax){ maximax=Math.max(left, right); indexofmax=i; } } } if(nummin==0){ stalls[indexofmin]=true; lastindex=indexofmin; } else{ stalls[indexofmax]=true; lastindex=indexofmax; } } int minimum=Math.min(values[lastindex][0], values[lastindex][1]); int maximum=Math.max(values[lastindex][0], values[lastindex][1]); System.out.printf("Case #%d: %d %d\n", cases, maximum, minimum); writer.printf("Case #%d: %d %d\n", cases, maximum, minimum); } writer.close(); scan.close(); } } ================================================ FILE: GoogleCodeJam/Close_Match.java ================================================ import java.util.Scanner; import java.io.*; import java.time.*; import java.math.*; import java.awt.*; public class Close_Match { public static void main(String[] args) throws Exception{ Scanner scan= new Scanner(new File("input.txt")); PrintWriter writer=new PrintWriter(new File("output.txt")); int numinputs=scan.nextInt(); scan.nextLine(); for(int cases=1;cases<=numinputs;cases++){ String a=scan.nextLine(); String b=scan.nextLine(); String apat=a.replaceAll("\\*", ".{0,4}"); String bpat=b.replaceAll("\\*", ".{0,4}"); System.out.println(apat); System.out.println(bpat); System.out.println("bpat".matches(apat)); //String output="Case #"+cases+": "+"_____"; //System.out.println(output); //writer.println(output); } scan.close(); writer.close(); } } ================================================ FILE: GoogleCodeJam/Coin_Jam.java ================================================ import java.io.*; import java.util.*; import java.util.stream.IntStream; public class Coin_Jam { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("input.txt")); PrintWriter writer=new PrintWriter(new File("output.txt")); int t=scan.nextInt(); int len=scan.nextInt(); int numjams=scan.nextInt(); System.out.println("Case #1:"); //iterate through possibilities, test if jamcoin, int max=(int) Math.pow(2, len-2); int jams=0; for(int i=0;i x == -1)){ continue; } System.out.print(istring+" "); for(int el:nums){ System.out.print(el+" "); } System.out.println(); jams++;*/ } } public static int convert(String s, int base){ int num=0; int len=s.length()-1; if(len==0) return Integer.parseInt(s); if(s.substring(0, 1).equals("1")) return (int)Math.pow(base, len)+convert(s.substring(1), base); else return convert(s.substring(1), base); } //input String ofones and zeros, output is integer array of length 9 with index i corresponding to the divisor of the input in base i+2 public static int[] out(String s){ int[] nums=new int[9]; for(int base=2;base<=10;base++){ int num=convert(s, base); nums[base-2]=-1; for(int x=2;x<=(int)(Math.sqrt(num))+1;x++){ if(num%x==0){ nums[base-2]=x; break; } } } return nums; } public static boolean isDiv(String n){ int numdivisors=0; for(int i=2;i<=10;i++){ int num=convert(n, i); for(int x=2;x<=(int)(Math.sqrt(num))+1;x++){ if(num%i==0){ numdivisors++; break; } } } if(numdivisors==9) return true; return false; } public static String divisors(String n){ String s=""; for(int i=2;i<=10;i++){ int num=convert(n, i); for(int x=2;x<=(int)(Math.sqrt(num))+1;x++){ if(num%i==0){ s+=String.valueOf(x)+" "; break; } } } return s; } //1001/ public static String binary_convert(int n, int len){ //return max power of 2 leq n if(n==0){ String s=""; for(int i=0;i int public static int convertss(String s, int base){ int num=0; int len=s.length()-1; if(len==0) return Integer.parseInt(s); if(s.substring(0, 1).equals("1")) return (int)Math.pow(base, len)+convert(s.substring(1), base); else return convert(s.substring(1), base); } public static String[] gen_bin_array(int len){ int n=(int) Math.pow(2, len-1); String[] arr=new String[n]; for(int i=0; i < n; i++){ arr[i]=binary_convert(i+n, 10); } return arr; } } ================================================ FILE: GoogleCodeJam/Counting_Sheep.java ================================================ import java.io.*; import java.util.*; public class Counting_Sheep { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("A-small-practice.in.txt")); PrintWriter writer=new PrintWriter(new File("countingsheep.out")); int n=scan.nextInt(); for(int i=1;i<=n;i++){ int num=scan.nextInt(); boolean possible=true; if(num==0){ possible=false; } String s=""; int mult=1; while(possible){ s+=String.valueOf(num); int con=0; for(int j=0;j<10;j++){ if(s.contains(String.valueOf(j))){ con++; } } mult++; num*=mult; num/=mult-1; if(con==10) break; } num*=mult-1; num/=mult; if(possible) writer.printf("Case #%d: %d\n", i, num); else writer.printf("Case #%d: INSOMNIA\n", i); } writer.close(); } } ================================================ FILE: GoogleCodeJam/CrossOver.java ================================================ import java.util.*; import java.io.*; public class CrossOver { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("output.txt")); int n=scan.nextInt(); int[] stocks=new int[n]; double[] LTMA=new double[n+1]; double[] STMA=new double[n+1]; //instantiates with first 300 ints, and scans int ltma_hash=0, stma_hash=0; for(int i=1;i<=300;i++){ stocks[i-1]=scan.nextInt(); ltma_hash+=stocks[i-1]; if(i>=241) stma_hash+=stocks[i-1]; } LTMA[300]=Math.round(100.0*ltma_hash/300.0)/100.0; STMA[300]=Math.round(100.0*stma_hash/60.0)/100.0; for(int i=301;i LTMA[i-1] && STMA[i] <= LTMA[i]) || (STMA[i-1] < LTMA[i-1] && STMA[i] >= LTMA[i]) || (STMA[i-1] == LTMA[i-1] && STMA[i] != LTMA[i])){ System.out.println(i+" "+STMA[i]+" "+LTMA[i]); } } } } ================================================ FILE: GoogleCodeJam/Digits.java ================================================ import java.util.*; import java.util.List; import java.util.stream.Collectors; import java.io.*; import java.time.*; import java.math.*; import java.awt.*; public class Digits { public static void main(String[] args) throws Exception{ Scanner scan= new Scanner(new File("input.txt")); PrintWriter writer=new PrintWriter(new File("output.txt")); int numinputs=scan.nextInt(); scan.nextLine(); for(int cases=1;cases<=numinputs;cases++){ int[] nums=new int[10]; int[] removechar=new int[200]; char[] arr=scan.nextLine().toCharArray(); List list = new ArrayList(); for(char c : arr) { if(c=='Z'){ nums[0]++; removechar['Z']++; removechar['E']++; removechar['R']++; removechar['O']++; } else if(c=='W'){ nums[2]++; removechar['T']++; removechar['W']++; removechar['O']++; } else if(c=='U'){ nums[4]++; removechar['F']++; removechar['O']++; removechar['U']++; removechar['R']++; } else if(c=='X'){ nums[6]++; removechar['S']++; removechar['I']++; removechar['X']++; } else if(c=='G'){ nums[8]++; removechar['E']++; removechar['I']++; removechar['G']++; removechar['H']++; removechar['T']++; } list.add(c); } for(int i=0;i0){ list.remove(i); removechar[c]--; i--; } } for(char c : list) { if(c=='O'){ nums[1]++; removechar['O']++; removechar['N']++; removechar['E']++; } else if(c=='H'){ nums[3]++; removechar['T']++; removechar['H']++; removechar['R']++; removechar['E']++; removechar['E']++; } else if(c=='F'){ nums[5]++; removechar['F']++; removechar['I']++; removechar['V']++; removechar['E']++; } else if(c=='S'){ nums[7]++; removechar['S']++; removechar['E']++; removechar['V']++; removechar['E']++; removechar['N']++; } } for(int i=0;i0){ list.remove(i); removechar[c]--; i--; } } for(char c : list) { if(c=='I'){ nums[9]++; } } String number=""; for(int n=0;n set1=new HashSet(); for(int iterator=maxstartflip;iterator=0){ int i=indexOf(row, false); if(i > maxstartflip){ i=maxstartflip; } row=flip(i, size, row); numflips++; if(numflips > row.length){ impossible=true; break; } } if(impossible){ System.out.printf("Case #%d: IMPOSSIBLE\n", asdf); writer.printf("Case #%d: IMPOSSIBLE\n", asdf); continue; } System.out.printf("Case #%d: %d\n", asdf, numflips); writer.printf("Case #%d: %d\n", asdf, numflips); } scan.close(); writer.close(); } public static boolean[] flip(int start, int size, boolean[] pancakes){ for(int i=0;i> prison=new ArrayList>(); for(int r=0;r<=n;r++){ ArrayList temp=new ArrayList(); for(int c=0;c<=m;c++){ temp.add( 1); } prison.add(temp); } //horizontal merging int xnum=scan.nextInt(); int[] x=new int[xnum]; for(int i=0;i=0;a--){ int i=x[a]; for(int cell=0;cell> newprison =new ArrayList>(); //3 3 3 ---> 3 1 //1 1 1 ---> 3 1 // 3 1 for(int col=0;col temp=new ArrayList(); for(int row=0;row=0;b--){ int i=y[b]; for(int cell=0;cell arr:newprison){ for(int num:arr){ if(num>max) max=num; } } System.out.println(max); } } ================================================ FILE: GoogleCodeJam/README.md ================================================ # Google Code Jam Problems ================================================ FILE: GoogleCodeJam/Solution.java ================================================ import java.io.*; import java.util.*; import java.text.*; import java.math.*; import java.util.regex.*; public class Solution { static long prison(int n, int m, int[] h, int[] v) { ArrayList> prison=new ArrayList>(); for(int r=0;r<=n;r++){ ArrayList temp=new ArrayList(); for(int c=0;c<=m;c++){ temp.add((long) 1); } prison.add(temp); } int[] x=h; int xnum=x.length; Arrays.sort(x); int[] y=v; int ynum=y.length; Arrays.sort(y); //removing bar i means that list at i-1 and at i for(int a=xnum-1;a>=0;a--){ int i=x[a]; for(int cell=0;cell> newprison =new ArrayList>(); for(int col=0;col temp=new ArrayList(); for(int row=0;row=0;b--){ int i=y[b]; for(int cell=0;cell arr:newprison){ for(long num:arr){ if(num>max) max=num; } } return max; } public static void main(String[] args) throws IOException{ Scanner in = new Scanner(System.in); final String fileName = System.getenv("OUTPUT_PATH"); BufferedWriter bw = new BufferedWriter(new FileWriter(fileName)); long res; int _n; _n = Integer.parseInt(in.nextLine().trim()); int _m; _m = Integer.parseInt(in.nextLine().trim()); int _h_size = 0; _h_size = Integer.parseInt(in.nextLine().trim()); int[] _h = new int[_h_size]; int _h_item; for(int _h_i = 0; _h_i < _h_size; _h_i++) { _h_item = Integer.parseInt(in.nextLine().trim()); _h[_h_i] = _h_item; } int _v_size = 0; _v_size = Integer.parseInt(in.nextLine().trim()); int[] _v = new int[_v_size]; int _v_item; for(int _v_i = 0; _v_i < _v_size; _v_i++) { _v_item = Integer.parseInt(in.nextLine().trim()); _v[_v_i] = _v_item; } res = prison(_n, _m, _h, _v); bw.write(String.valueOf(res)); bw.newLine(); bw.close(); } } ================================================ FILE: GoogleCodeJam/Super_Substrings.java ================================================ import java.io.File; import java.util.*; public class Super_Substrings { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("input.txt")); String n=scan.next(); ArrayList subs=new ArrayList(); for(int i=0;i 0) { sum+=num % 10; num/=10; } return sum; } } ================================================ FILE: GoogleCodeJam/Tidy_Numbers.java ================================================ import java.util.*; import java.io.*; public class Tidy_Numbers { public static void main(String[] args) throws Exception { Scanner scan=new Scanner(new File("tidy.in")); PrintWriter writer=new PrintWriter(new File("output.txt")); int n=scan.nextInt(); scan.nextLine(); for(int asdf=1;asdf<=n;asdf++){ String num=scan.nextLine(); System.out.println(num); long nu=Long.parseLong(num); String tidy; int i=(int) nu; while(true){ if(num.contains("0")){ tidy=nines(num); break; } int tid=isTidy(i); if(tid<0){ tidy=String.valueOf(i); break; } System.out.println(tid); String str=String.valueOf(i); String decrement=String.valueOf(Integer.parseInt(str.substring(tid, tid+1))-1); String len=new String(new char[str.length()-tid-1]).replace("\0", "9"); i=(int) Long.parseLong(str.substring(0, tid)+decrement+len); } //parse String long indignation=Long.parseLong(tidy); String a="Case #"+asdf+": "+indignation; System.out.println(a); writer.println(a); } writer.close(); scan.close(); } //return -1 if tidy or i >=0 where char[i] > char[i+1] public static int isTidy(long n){ String num=String.valueOf(n); for(int i=0;i Integer.valueOf(num.substring(i+1, i+2))){ return i; } } return -1; } //returns sequence of 9s less than int public static String nines(String n){ return new String(new char[n.length()-1]).replace("\0", "9"); } } ================================================ FILE: Graph/BFS.java ================================================ import java.awt.BasicStroke; import java.awt.Color; import java.awt.Dimension; import java.awt.Paint; import java.awt.Stroke; import java.util.ArrayList; import java.util.Arrays; import java.util.LinkedList; import java.util.Queue; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class BFS { /*Breadth-First Search (BFS) Problem (informal): Given starting node, traverse a graph by looking at closer nodes before further ones Algorithm: While nodes at depth d from root are unvisited, visit them, increment d Complexity: * Time - O(|V| + |E|) where V is set of vertices and E is set of edges * Space - O(|V|) to store visited vertices Functions Defined: * QueueBFSList() - Queue-based implementation with adjacency list input * QueueBFSMatrix - Queue-based implementation with adjacency matrix input * IterativeBFSList() - Loop-based implementation with adjacency list input * IterativeBFSMatrix() - Loop-based implementation with adjacency matrix input * mat2list() - Takes adjacency matrix input and returns equivalent adjacency list * list2mat() - Takes adjacency list input and returns equivalent adjacency matrix * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) Notes: * IterativeBFS runs 3-4x faster than QueueBFS in practice (on average) */ public static void main(String[] args) { boolean[][] adjmat={/*1*/ {true, true, true, true, false, false, false, false, false}, /*2*/ {true, false, true, false, true, true, false, false, false}, /*3*/ {true, true, false, true, false, true, true, false, false}, /*4*/ {true, false, true, false, false, false, true, false, false}, /*5*/ {false, true, false, false, false, true, false, true, false}, /*6*/ {false, true, true, false, true, false, true, true, false}, /*7*/ {false, false, true, true, false, true, false, true, false}, /*8*/ {false, false, false, false, true, true, true, false, false}, /*9*/ {false, false, false, false, false, false, false, false, false}}; ArrayList> adjlist=mat2list(adjmat); //Starting node int root=5; //Prints BFT for graph //Queue or iterative BFS with input of List/Matrix System.out.println(QueueBFSList(adjlist, 1).toString()); //Uncomment next line to visualize graph //display(adj, "Graph"); } //Queue based implementation (CLRS) public static ArrayList QueueBFSList(ArrayList> adjlist, int source){ //BFT maintains list of nodes that havee already been visited (colored black) //q maintains list of nodes that are scheduled to be visited boolean[] visited = new boolean[adjlist.size()+1]; Queue q=new LinkedList(); q.add(source); visited[source] = true; ArrayList bft = new ArrayList(); while(!q.isEmpty()){ int top=q.poll(); bft.add(top); visited[top] = true; for(int node:adjlist.get(top-1)) if(!visited[node]){ q.add(node); visited[node] = true; } } return bft; } //3-4x faster implementation on avg!!! public static ArrayList IterativeBFSList(ArrayList> adjlist, int source){ boolean[] visited = new boolean[adjlist.size()+1]; ArrayList bft=new ArrayList(); bft.add(source); visited[source] = true; int nodesReached=1; while(nodesReached QueueBFSMatrix(boolean[][] adjmat, int source){ ArrayList bft = new ArrayList(); boolean[] visited = new boolean[adjmat.length+1]; Queue q=new LinkedList(); q.add(source); visited[source] = true; while(!q.isEmpty()){ int top=q.poll(); bft.add(top); visited[top] = true; for(int node=1; node <= adjmat.length; node++){ boolean[] adj = adjmat[top-1]; if(adj[node-1] && !visited[node]){ q.add(node); visited[node] = true; } } } return bft; } //Iterative BFS [adjacency matrix input] public static ArrayList IterativeBFSMatrix(boolean[][] adjmat, int source){ ArrayList bft=new ArrayList(); boolean[] visited = new boolean[adjmat.length+1]; bft.add(source); visited[source] = true; int nodesReached=1; while(nodesReached> mat2list(boolean[][] adj){ ArrayList> adjlist=new ArrayList>(); for(int i=0;i()); for(int j=0;j> adjlist){ boolean[][] adjmat = new boolean[adjlist.size()][adjlist.size()]; for(int i=0;i graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } } ================================================ FILE: Graph/Bellman_Ford.java ================================================ import java.awt.*; import java.util.*; import java.util.Queue; import java.util.stream.Collectors; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class Bellman_Ford { /*Bellman-Ford Algorithm Problem (informal): Given a weighted graph G, source u and sink v, find minimally weighted u~v path in G Algorithm: Iterates over all vertices and edges and relaxes edges Complexity: * Time - O(|V|*|E|) since main loop iterates over all vertices and edges * Space - O(|V| + |E|) to store edges and vertices Functions Defined: * bellman_ford() - Main algorithm to return shortest path or Integer.MIN_VALUE if negative cycle exists * Vertex() - Custom class to store weighted graphs * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) */ public static void main(String[] args) { //Initializing and filling sample array ArrayList[] adjlist= new ArrayList[5]; adjlist[1] = new ArrayList(); adjlist[2] = new ArrayList(); adjlist[3] = new ArrayList(); adjlist[4] = new ArrayList(); adjlist[1].add(new Vertex(2, -1)); adjlist[1].add(new Vertex(3, 3)); adjlist[2].add(new Vertex(3, 1)); adjlist[2].add(new Vertex(4, 5)); adjlist[2].add(new Vertex(4, -3)); adjlist[3].add(new Vertex(4, 2)); adjlist[4].add(new Vertex(1, 10)); //Starting node int source = 1; //Ending node int dest = 4; System.out.print(bellman_ford(adjlist, source, dest)); //Uncomment next line to visualize graph (need to convert to array first //display(adj, "Graph"); } //Queue based implementation (CLRS) //Returns value of shortest path from source to destination public static int bellman_ford(ArrayList[] adjlist, int source, int dest){ boolean[] visited = new boolean[adjlist.length]; int[] distance = new int[adjlist.length]; int[] prev = new int[adjlist.length]; Arrays.fill(distance, Integer.MAX_VALUE); distance[1] = 0; for(int ver=1;ver neighbor.weight + distance[i]) return Integer.MIN_VALUE; //Negative cycle exists } } return distance[dest]; } //Uses JUNG to display 2D graph public static void display(boolean[][] adj, String name){ //Populate Graph object Graph graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } //defined Vertex class for weighted graphs to hold edge weights static class Vertex{ public int val; public int weight; public Vertex(int val){ this.val = val; } public Vertex(int val, int weight){ this.val = val; this.weight = weight; } public String toString(){ return "Val: "+val+", Weight: "+weight; } } public static int[] list2arr(ArrayList list){ return list.stream().mapToInt(i->i).toArray(); } public static ArrayList list2arr(int[] arr){ return (ArrayList) Arrays.stream(arr).boxed().collect(Collectors.toList()); } } ================================================ FILE: Graph/DFS.java ================================================ import java.awt.BasicStroke; import java.awt.Color; import java.awt.Dimension; import java.awt.Paint; import java.awt.Stroke; import java.util.ArrayList; import java.util.Arrays; import java.util.LinkedList; import java.util.Queue; import java.util.Stack; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class DFS { /*Depth-First Search (DFS) Problem (informal): Given starting node, traverse a graph by looking at deeper nodes before closer ones Algorithm: Continue down branch as far as possible, visit deepest unvisited node, backtrack Complexity: * Time - O(|V| + |E|) where V is set of vertices and E is set of edges * Space - O(|V|) to store visited vertices Functions Defined: * iterativeDFS() - Iterative stack-based implementation of DFS * recursiveDFS - Recursive implementation of DFS (calls DFS on unvisited children) * mat2list() - Takes adjacency matrix input and returns equivalent adjacency list * list2mat() - Takes adjacency list input and returns equivalent adjacency matrix * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) */ public static void main(String[] args) { boolean[][] adjmat={/*1*/ {true, true, true, true, false, false, false, false, false}, /*2*/ {true, false, true, false, true, true, false, false, false}, /*3*/ {true, true, false, true, false, true, true, false, false}, /*4*/ {true, false, true, false, false, false, true, false, false}, /*5*/ {false, true, false, false, false, true, false, true, false}, /*6*/ {false, true, true, false, true, false, true, true, false}, /*7*/ {false, false, true, true, false, true, false, true, false}, /*8*/ {false, false, false, false, true, true, true, false, false}, /*9*/ {false, false, false, false, false, false, false, false, false}}; ArrayList> adjlist=mat2list(adjmat); //Starting node int root=5; //Prints DFT for graph //Recursive or iterative DFS recursiveDFS(adjlist, root, new boolean[adjlist.size()+1]); System.out.println(iterativeDFS(adjlist, root)); //Uncomment next line to visualize graph //display(adjmat, "Graph"); } //Iterative implementation of DFS public static ArrayList iterativeDFS(ArrayList> adjlist, int source){ boolean[] visited = new boolean[adjlist.size()+1]; Stack stack=new Stack(); stack.add(source); visited[source] = true; ArrayList dft = new ArrayList(); while(!stack.isEmpty()){ int top=stack.peek(); stack.pop(); if(!visited[top]){ dft.add(top); visited[top] = true; } for(int node:adjlist.get(top-1)) if(!visited[node]){ stack.push(node); } } return dft; } //Recursive implementation of DFS public static void recursiveDFS(ArrayList> adjlist, int node, boolean[] visited){ visited[node] = true; //System.out.println(node); for(int child:adjlist.get(node)){ if(!visited[child]){ recursiveDFS(adjlist, child, visited); } } } //converts adjacency matrix to adjacency list public static ArrayList> mat2list(boolean[][] adj){ ArrayList> adjlist=new ArrayList>(); for(int i=0;i()); for(int j=0;j> adjlist){ boolean[][] adjmat = new boolean[adjlist.size()][adjlist.size()]; for(int i=0;i graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } } ================================================ FILE: Graph/Dijkstra.java ================================================ import java.awt.*; import java.util.*; import java.util.Queue; import java.util.stream.Collectors; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class Dijkstra { /*Dijkstra's Algorithm Problem (informal): Given a weighted graph G, source u and sink v, find minimally weighted u~v path in G Algorithm: BFS with priority queue; maintains distance to certain node and updates along with previous Complexity: * Time - O(|E|log|V|) where V is set of vertices and E is set of edges * Space - O(|V|) to store visited vertices Functions Defined: * dijkstra() - Main algorithm to return shortest path between source and destination * Vertex() - Custom class to store weighted graphs * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) Notes: * IterativeBFS runs 3-4x faster than QueueBFS in practice (on average) */ public static void main(String[] args) { ///* //Initializing and filling sample array ArrayList[] adjlist= new ArrayList[5]; adjlist[1] = new ArrayList(); adjlist[2] = new ArrayList(); adjlist[3] = new ArrayList(); adjlist[4] = new ArrayList(); adjlist[1].add(new Vertex(2, 1)); adjlist[1].add(new Vertex(3, 3)); adjlist[2].add(new Vertex(3, 1)); adjlist[2].add(new Vertex(4, 2)); adjlist[2].add(new Vertex(4, 1)); adjlist[3].add(new Vertex(4, 2)); adjlist[4].add(new Vertex(1, 4)); //Starting node int source = 1; //Ending node int dest = 4; ///* /* ArrayList[] adjlist= new ArrayList[4]; adjlist[1] = new ArrayList(); adjlist[2] = new ArrayList(); adjlist[3] = new ArrayList(); adjlist[1].add(new Vertex(2, 5)); adjlist[1].add(new Vertex(3, 2)); adjlist[2].add(new Vertex(3, -10)); //Starting node int source = 1; //Ending node int dest = 3; */ System.out.print(dijkstra(adjlist, source, dest)); //Uncomment next line to visualize graph (need to convert to array first //display(adj, "Graph"); } //Queue based implementation (CLRS) //Returns value of shortest path from source to destination public static ArrayList dijkstra(ArrayList[] adjlist, int source, int destination){ boolean[] visited = new boolean[adjlist.length]; int[] distance = new int[adjlist.length]; int[] prev = new int[adjlist.length]; Arrays.fill(distance, Integer.MAX_VALUE); PriorityQueue q=new PriorityQueue(); q.add(new Vertex(source, 0)); distance[source] = 0; visited[source] = true; ArrayList bft = new ArrayList(); while(!q.isEmpty()){ int top=q.poll().name; visited[top] = true; for(Vertex node:adjlist[top]){ if(q.contains(node.name)) continue; //Saves lots of time if(distance[top] + node.val < distance[node.name]){ prev[node.name] = top; distance[node.name] = distance[top] + node.val; } if(!visited[node.name]){ q.add(new Vertex(node.name, distance[node.name])); visited[node.name] = true; } } } ArrayList path = new ArrayList(); path.add(source); int current = destination; while(current != source){ path.add(1, current); current = prev[current]; } return path; } //Uses JUNG to display 2D graph public static void display(boolean[][] adj, String name){ //Populate Graph object Graph graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } //defined Vertex class for weighted graphs to hold edge weights static class Vertex implements Comparable{ public int name; public int val; public Vertex(int name){ this.name = name; } public Vertex(int name, int val){ this.name = name; this.val = val; } public String toString(){ return "Name: "+name+", Value: "+val; } public int compareTo(Vertex v){ return Integer.compare(val, v.val); } } public static int[] list2arr(ArrayList list){ return list.stream().mapToInt(i->i).toArray(); } public static ArrayList list2arr(int[] arr){ return (ArrayList) Arrays.stream(arr).boxed().collect(Collectors.toList()); } } ================================================ FILE: Graph/Edge.java ================================================ public class Edge { //Edge class with built in functions; used for Graph class private int weight; private Vertex v1; private Vertex v2; private boolean directed=false; public Edge(int weight, int value1, int value2){ this.weight=weight; v1=new Vertex(value1); v2=new Vertex(value2); } public Edge(int weight, int value1, int value2, boolean directed){ this.weight=weight; v1=new Vertex(value1); v2=new Vertex(value2); directed=true; } //returns whether or not the edge is incident to the input vertex public boolean incident(int vertex){ return vertex==v1.getValue() || vertex==v2.getValue(); } public Vertex getVertex1(){ return v1; } public Vertex getVertex2(){ return v2; } public int getWeight(){ return weight; } public boolean getDirected(){ return directed; } public void makeDirected(){ directed=true; } public void swap(){ Vertex temp=v2; v2=v1; v1=temp; } public String toString(){ return weight+"["+v1+","+v2+"]"; } } ================================================ FILE: Graph/Floyd_Warshall.java ================================================ import java.awt.*; import java.util.*; import java.util.Queue; import java.util.stream.Collectors; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class Floyd_Warshall { /*Floyd-Warshall Algorithm Problem (informal): Given a weighted graph G, source u and sink v, find minimally weighted u~v path in G Algorithm: BFS with priority queue; maintains distance to certain node and updates along with previous Complexity: * Time - O(|V|^2) where V is set of vertices and E is set of edges * Space - O(|V|) to store visited vertices Functions Defined: * floyd_warshall() - Main algorithm to return all pairs shortest path * Vertex() - Custom class to store weighted graphs * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) Notes: * IterativeBFS runs 3-4x faster than QueueBFS in practice (on average) */ public static void main(String[] args) { //Initializing and filling sample array ArrayList[] adjlist= new ArrayList[5]; adjlist[1] = new ArrayList(); adjlist[2] = new ArrayList(); adjlist[3] = new ArrayList(); adjlist[4] = new ArrayList(); adjlist[1].add(new Vertex(2, 1)); adjlist[1].add(new Vertex(3, 3)); adjlist[2].add(new Vertex(3, 1)); adjlist[2].add(new Vertex(4, 2)); adjlist[2].add(new Vertex(4, 1)); adjlist[3].add(new Vertex(4, 2)); adjlist[4].add(new Vertex(1, 4)); //Starting node int source = 1; //Ending node int dest = 4; System.out.print(floyd_warshall(adjlist, source, dest)); //Uncomment next line to visualize graph (need to convert to array first //display(adj, "Graph"); } //Queue based implementation (CLRS) //Returns value of shortest path from source to destination public static ArrayList floyd_warshall(ArrayList[] adjlist, int source, int destination){ boolean[] visited = new boolean[adjlist.length]; int[] distance = new int[adjlist.length]; int[] prev = new int[adjlist.length]; Arrays.fill(distance, Integer.MAX_VALUE); PriorityQueue q=new PriorityQueue(); q.add(source); distance[source] = 0; visited[source] = true; ArrayList bft = new ArrayList(); while(!q.isEmpty()){ int top=q.poll(); visited[top] = true; for(Vertex node:adjlist[top]){ if(distance[top] + node.val < distance[node.name]){ prev[node.name] = top; distance[node.name] = distance[top] + node.val; } if(!visited[node.name]){ q.add(node.name); visited[node.name] = true; } } } ArrayList path = new ArrayList(); path.add(source); int current = destination; while(current != source){ path.add(1, current); current = prev[current]; } return path; } //Uses JUNG to display 2D graph public static void display(boolean[][] adj, String name){ //Populate Graph object Graph graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } //defined Vertex class for weighted graphs to hold edge weights static class Vertex{ public int name; public int val; public Vertex(int name){ this.name = name; } public Vertex(int name, int val){ this.name = name; this.val = val; } public String toString(){ return "Name: "+name+", Value: "+val; } } public static int[] list2arr(ArrayList list){ return list.stream().mapToInt(i->i).toArray(); } public static ArrayList list2arr(int[] arr){ return (ArrayList) Arrays.stream(arr).boxed().collect(Collectors.toList()); } } ================================================ FILE: Graph/Ford_Fulkerson.java ================================================ import java.awt.BasicStroke; import java.awt.Color; import java.awt.Dimension; import java.awt.Paint; import java.awt.Stroke; import java.util.*; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class Ford_Fulkerson { /*Ford-Fulkerson Problem (informal): Given a network, find maximum flow from source to sink Algorithm: Send one unit of flow, look at residual network, find augmenting path Complexity: * Time - O(E*f) where E is the number of edges and f is the max flow * Space - O(|V|^2) to store graph in adjacency matrix Functions Defined: * bfs() - returns breath first search sequence * dfs() - returns depth first search sequence * residual() - returns residual network given current network and new flow * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) */ public static void main(String[] args){ int[][] network={{0, 16, 13, 0, 0, 0}, {0, 0, 0, 12, 0, 0}, {0, 4, 0, 0, 14, 0}, {0, 0, 9, 0, 0, 20}, {0, 0, 0, 7, 0, 5}, {0, 0, 0, 0, 0, 0}}; int size=network.length; int[][] flow=new int[size][size]; for(int u=0;u path=new ArrayList(); int maxflow=0; path=dfs(residual(network, flow)); while(path.get(0)!=-1){ for(int i=0;i0) flow[u][v]++; else if(network[v][u]>0) flow[u][v]--; if(flow[u][v]<0) flow[u][v]=1; } maxflow++; try{ path=dfs(residual(network, flow)); } catch(Exception e){ break; } } System.out.println(maxflow+"\n\n"); for(int[] flo:flow){ System.out.println(Arrays.toString(flo)); } display(network, "graph"); } public static int[] bfs(int[][] residual) { int vertices=residual.length; int[] parent=new int[vertices]; boolean visited[] = new boolean[vertices]; Arrays.fill(visited, false); LinkedList queue = new LinkedList(); queue.add(0); visited[0] = true; parent[0]=-1; parent[vertices-1]=-1; while (queue.size()!=0) { int u = queue.poll(); for (int v=0; v 0) { queue.add(v); parent[v] = u; visited[v] = true; } } } return parent; } public static ArrayList dfs(int[][] residual){ int size=residual.length; boolean[] visited=new boolean[size]; Arrays.fill(visited, false); ArrayList path=new ArrayList(); path.add(0); while(!visited[size-1]){ for(int u=0;u0 && !visited[u]){ path.add(u); visited[u]=true; u=0; continue; } } if(path.get(path.size()-1)==(size-1)){ return path; } path.remove(path.size()-1); } if(visited[size-1]){ return path; } path.set(0, -1); return path; } public static int[][] residual(int[][] network, int[][] flow){ int[][] residual=new int[network.length][network.length]; for(int u=0;u0) residual[u][v]=network[u][v]-flow[u][v]; else if(network[v][u]>0) residual[u][v]=flow[v][u]; else residual[u][v]=0; } } return residual; } public static void display(int[][] adj, String name){ //Populate Graph object Graph graph=new SparseMultigraph(); for(int i=0;i0) graph.addEdge(adj[i][j], i, j, EdgeType.DIRECTED); } } //VisualizationImageServer vs = new VisualizationImageServer(new CircleLayout(g), new Dimension(650, 650)); //Initialize visualization Layout layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } } ================================================ FILE: Graph/Graph_Traversal.java ================================================ import java.awt.BasicStroke; import java.awt.Color; import java.awt.Dimension; import java.awt.Paint; import java.awt.Stroke; import java.util.*; import javax.swing.JFrame; import org.apache.commons.collections15.Transformer; import edu.uci.ics.jung.algorithms.layout.CircleLayout; import edu.uci.ics.jung.algorithms.layout.Layout; import edu.uci.ics.jung.graph.Graph; import edu.uci.ics.jung.graph.SparseMultigraph; import edu.uci.ics.jung.graph.util.EdgeType; import edu.uci.ics.jung.visualization.VisualizationViewer; import edu.uci.ics.jung.visualization.control.DefaultModalGraphMouse; import edu.uci.ics.jung.visualization.control.ModalGraphMouse; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class Graph_Traversal { //Collection of graph searching implementations (BFS/DFS) for benchmarking public static void main(String[] args) { ArrayList> adjlist = new ArrayList>() {{ add(new ArrayList() {{ add(2); add(3); add(4); }}); add(new ArrayList() {{ add(1); add(3); add(5); add(6); }}); add(new ArrayList() {{ add(1); add(2); add(4); add(6); add(7); }}); add(new ArrayList() {{ add(1); add(3); add(7); }}); add(new ArrayList() {{ add(2); add(6); add(8); }}); add(new ArrayList() {{ add(2); add(3); add(5); add(7); add(8); }}); add(new ArrayList() {{ add(3); add(4); add(6); add(8); }}); add(new ArrayList() {{ add(5); add(6); add(7); }}); }}; boolean[][] adj={/*1*/ {false, true, true, true, false, false, false, false}, /*2*/ {true, false, true, false, true, true, false, false}, /*3*/ {true, true, false, true, false, true, true, false}, /*4*/ {true, false, true, false, false, false, true, false}, /*5*/ {false, true, false, false, false, true, false, true}, /*6*/ {false, true, true, false, true, false, true, true}, /*7*/ {false, false, true, true, false, true, false, true}, /*8*/ {false, false, false, false, true, true, true, false}}; boolean[][] adj1={/*1*/ {false, true, true, true, false, false, false, false}, /*2*/ {false, false, true, false, true, true, false, false}, /*3*/ {false, false, false, true, false, true, false, false}, /*4*/ {false, false, false, false, false, false, true, false}, /*5*/ {false, false, false, false, false, true, false, true}, /*6*/ {false, false, false, false, false, false, true, true}, /*7*/ {false, false, true, false, false, false, false, true}, /*8*/ {false, false, false, false, false, false, false, false}}; int root=6; long start; System.out.println(bfsmatrix(adj, root)); display(adj1, ""); } //Iterative implementation of DFS public static ArrayList iterativeDFS(ArrayList> adjlist, int source){ boolean[] visited = new boolean[adjlist.size()+1]; Stack stack=new Stack(); stack.add(source); visited[source] = true; ArrayList dft = new ArrayList(); while(!stack.isEmpty()){ int top=stack.peek(); stack.pop(); if(!visited[top]){ dft.add(top); visited[top] = true; } for(int node:adjlist.get(top-1)) if(!visited[node]){ stack.push(node); } } return dft; } //Recursive implementation of DFS public static void recursiveDFS(ArrayList> adjlist, int node, boolean[] visited){ visited[node] = true; //System.out.println(node); for(int child:adjlist.get(node)){ if(!visited[child]){ recursiveDFS(adjlist, child, visited); } } } //Queue based implementation public static ArrayList bfs(ArrayList> adjlist, int source){ //BFT maintains list of nodes that havee already been visited (colored black) //q maintains list of nodes that are scheduled to be visited boolean[] visited = new boolean[adjlist.size()+1]; Queue q=new LinkedList(); q.add(source); visited[source] = true; ArrayList bft = new ArrayList(); while(!q.isEmpty()){ int top=q.poll(); bft.add(top); visited[top] = true; for(int node:adjlist.get(top-1)) if(!visited[node]){ q.add(node); visited[node] = true; } } return bft; } //3-4x faster implementation on avg public static ArrayList BFS(ArrayList> adjlist, int source){ boolean[] visited = new boolean[adjlist.size()+1]; ArrayList bft=new ArrayList(); bft.add(source); visited[source] = true; int nodesReached=1; while(nodesReached bfsmatrix(boolean[][] adjmat, int source){ ArrayList bft = new ArrayList(); boolean[] visited = new boolean[adjmat.length+1]; Queue q=new LinkedList(); q.add(source); visited[source] = true; while(!q.isEmpty()){ int top=q.poll(); bft.add(top); visited[top] = true; for(int node=1; node <= adjmat.length; node++){ boolean[] adj = adjmat[top-1]; if(adj[node-1] && !visited[node]){ q.add(node); visited[node] = true; } } } return bft; } //about the same public static ArrayList BFSmatrix(boolean[][] adjmat, int source){ ArrayList bft=new ArrayList(); boolean[] visited = new boolean[adjmat.length+1]; bft.add(source); visited[source] = true; int nodesReached=1; while(nodesReached> mat2list(boolean[][] adj){ ArrayList> adjlist=new ArrayList>(); for(int i=0;i()); for(int j=0;j> adjlist){ boolean[][] adjmat = new boolean[adjlist.size()][adjlist.size()]; for(int i=0;i graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } public static void execute(T t, long start){ System.out.println(t); System.out.printf("%.3f ms\n", (System.nanoTime() - start)*1e-6); } } ================================================ FILE: Graph/Graphs.java ================================================ public class Graphs { //Graph class with certain built in algorithms private Edge[] edges; private Vertex[] vertices; public Graphs(Vertex[] vertices, Edge[] edges){ this.vertices=vertices; this.edges=edges; } //Returns whether or not graph contains input vertex public boolean hasVertex(Vertex v){ for(Vertex vertex:vertices){ if(vertex.getValue()==v.getValue()){ return true; } } return false; } //returns sum of edge weights in graph public int getCost(){ int sum=0; for(Edge e:edges){ sum+=e.getWeight(); } return sum; } public Edge[] getEdges(){ return edges; } public String[] vertex(){ String[] v= new String[vertices.length]; for(int i=0;i[] adjlist= new ArrayList[5]; adjlist[1] = new ArrayList(); adjlist[2] = new ArrayList(); adjlist[3] = new ArrayList(); adjlist[4] = new ArrayList(); adjlist[1].add(new Vertex(2, 1)); adjlist[1].add(new Vertex(3, 3)); adjlist[2].add(new Vertex(3, 1)); adjlist[2].add(new Vertex(4, 2)); adjlist[2].add(new Vertex(4, 1)); adjlist[3].add(new Vertex(4, 2)); adjlist[4].add(new Vertex(1, -1)); //Starting node int source = 1; //Ending node int dest = 4; System.out.print(johnson(adjlist, source, dest)); //Uncomment next line to visualize graph (need to convert to array first //display(adj, "Graph"); } //Queue based implementation (CLRS) //Returns value of shortest path from source to destination public static ArrayList johnson(ArrayList[] adjlist, int source, int destination){ int len = adjlist.length; ArrayList[] adjlist_ext = Arrays.copyOf(adjlist, len+1); adjlist_ext[len] = new ArrayList(); //Agument graph with new vertex for(int i=1;i shortest_path = new ArrayList(); shortest_path.add(Integer.MAX_VALUE); for(int i=1;i temp = dijkstra(adjlist, i); System.out.println(temp); if(temp.get(0) < shortest_path.get(0)) shortest_path = temp; System.out.println(temp); } return shortest_path; } //Queue based implementation (CLRS) //Returns value of shortest path from source to destination public static int[] bellman_ford(ArrayList[] adjlist, int source){ boolean[] visited = new boolean[adjlist.length]; int[] distance = new int[adjlist.length]; int[] prev = new int[adjlist.length]; Arrays.fill(distance, Integer.MAX_VALUE); distance[source] = 0; for(int ver=1;ver neighbor.weight + distance[i]) return null; } } return distance; } //Queue based implementation (CLRS) //Returns value of shortest path from source to all vertices public static ArrayList dijkstra(ArrayList[] adjlist, int source){ boolean[] visited = new boolean[adjlist.length]; int[] distance = new int[adjlist.length]; int[] prev = new int[adjlist.length]; Arrays.fill(distance, Integer.MAX_VALUE); PriorityQueue q=new PriorityQueue(); q.add(new Vertex(source, 0)); distance[source] = 0; visited[source] = true; ArrayList bft = new ArrayList(); while(!q.isEmpty()){ int top=q.poll().val; visited[top] = true; for(Vertex node:adjlist[top]){ if(q.contains(node.val)) continue; //Saves lots of time if(distance[top] + node.weight < distance[node.val]){ prev[node.val] = top; distance[node.val] = distance[top] + node.weight; } if(!visited[node.val]){ q.add(new Vertex(node.val, distance[node.val])); visited[node.val] = true; } } } ArrayList path = new ArrayList(); path.add(source); int min = Integer.MAX_VALUE; int destination = 1; for(int i=1;i graph=new SparseMultigraph(); for(int i=0;i layout = new CircleLayout(graph); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { return Color.GREEN; } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels //vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } //defined Vertex class for weighted graphs to hold edge weights static class Vertex implements Comparable{ public int val; public int weight; public Vertex(int val){ this.val = val; } public Vertex(int val, int weight){ this.weight = weight; this.val = val; } public String toString(){ return "Name: "+val+", Weight: "+weight; } public int compareTo(Vertex v){ return Integer.compare(weight, v.weight); } } public static int[] list2arr(ArrayList list){ return list.stream().mapToInt(i->i).toArray(); } public static ArrayList list2arr(int[] arr){ return (ArrayList) Arrays.stream(arr).boxed().collect(Collectors.toList()); } } ================================================ FILE: Graph/Karger.java ================================================ import java.awt.*; import java.util.*; import javax.swing.*; import org.apache.commons.collections15.Transformer; //Uses Java Universal Network/Graph (JUNG) Framework for conveniently displaying graphs import edu.uci.ics.jung.algorithms.layout.*; import edu.uci.ics.jung.graph.*; import edu.uci.ics.jung.graph.util.*; import edu.uci.ics.jung.visualization.*; import edu.uci.ics.jung.visualization.control.*; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; public class Karger { /*Karger's Min-Cut Algorithm Problem (informal): Given weighted graph, find cut with minimally weighted edges spanning cut Algorithm: Contract edges randomly until no more possible; remaining cut is probably minimal Complexity: * Time - O(|V|^2) = O(|E|) * Space - O(|V|+|E|) to store lists Functions Defined: * edgeContraction() - Contracts a random edge and outputs resulting edge list * newVertices() - Adjusts list of vertices, collapsing to account for contracted edge * convertGraph() - converts edge list and vertex list to JUNG Graph type * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) Notes: * Min Cut = Max Flow :) */ public static void main(String[] args) { int num_Vertices; int[] vertices= {1, 2, 3, 4, 5, 6, 7}; int[][] edges={{5, 1, 2}, {1, 2, 3}, {2, 3, 1}, {3, 1, 4}, {9, 2, 4}, {20, 3, 4}, {11, 1, 7}, {8, 6, 3}, {10, 5, 6}, {13, 1, 5}, {6, 4, 6}, {7, 7, 2}, {12, 5, 3}, {16, 6, 1}, {14, 5, 2}, {19, 4, 7}, {15, 7, 3}}; int mincut=0;; display(vertices, edges, "red", "Undirected Sparse Graph"); while(vertices.length>2){ edges=edgeContraction(edges); vertices=newVertices(vertices, edges); } display(vertices, edges, "green", "Min-Cut"); for(int[] edge:edges){ //System.out.println(Arrays.toString(edge)); mincut+=edge[0]; } //System.out.println(Arrays.toString(vertices)); System.out.println(mincut); } public static int[][] edgeContraction(int[][] edges){ //choose random edge # to collapse betwen 0 and edges.length-1 //store vertex 1, vertex 2, delete the edge //all edges from vertex 2 change to vertex 1; //int[][] newEdges=new int[edges.length-1][3]; ArrayList newEdges=new ArrayList(); int randEdge=(int)(Math.random()*edges.length); int v1=edges[randEdge][1], v2=edges[randEdge][2]; //Populate list of vertices + weights that are connected to edge for(int i=0;i set=new TreeSet(); for(int[] edge:edges){ set.add(edge[1]); set.add(edge[2]); } int count=0; while(!set.isEmpty()){ int num=set.pollFirst(); set.remove(num); newVertices[count]=num; count++; } return newVertices; } public static Graph convertGraph(int[] vertices, int[][] edges){ Graph graph=new SparseMultigraph(); for(int v:vertices){ graph.addVertex(v); } for(int[] e:edges){ graph.addEdge(e[0], e[1], e[2], EdgeType.UNDIRECTED); } return graph; } public static void display(int[] vertices, int[][] edges, String color, String name){ Graph g=convertGraph(vertices, edges); //VisualizationImageServer vs = new VisualizationImageServer(new CircleLayout(g), new Dimension(650, 650)); //Initialize visualization Layout layout = new CircleLayout(g); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { if(color=="green"){ return Color.GREEN; } else{ return Color.RED; } } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } } ================================================ FILE: Graph/Prim.java ================================================ import java.awt.*; import java.util.*; import javax.swing.*; import org.apache.commons.collections15.Transformer; //Uses Java Universal Network/Graph (JUNG) Framework for conveniently displaying graphs import edu.uci.ics.jung.algorithms.layout.*; import edu.uci.ics.jung.graph.*; import edu.uci.ics.jung.graph.util.*; import edu.uci.ics.jung.visualization.*; import edu.uci.ics.jung.visualization.control.*; import edu.uci.ics.jung.visualization.decorators.ToStringLabeller; import edu.uci.ics.jung.visualization.renderers.Renderer.VertexLabel.Position; //Implementation of Prim's Algorithm to Determine Minimum Spanning Tree of Undirected Sparse Multigraph public class Prim extends JPanel{ /*Prim's Algorithm Problem (informal): Given graph, finding spanning tree with minimally weighted edges (MST) Algorithm: Add least weighted edge incident to vertices in current MST at each iteration until all vertices added Complexity: * Time - O(|V|^2) searching adjacency matrix (effectively) * Space - O(|V|+|E|) to store arrays of vertices and edges Functions Defined: * adjacentEdges() - Returns all edges adjacent to subgraph * contains() - Returns whether or not input vertex exists in input array * minEdge() - Given edge array, returns minimally weighted edge * addVertex() - Adds input vertex to input graph * addEdge() - Returns input Graph with added edge * convertVertices() - Given array of values, returns array of Vertex type values * convertEdge() - Given array of values with weight and vertices, returns array of Edge type values * display() - Takes adjacency matrix input and displays GUI graph visualization (*Requires JUNG Library*) Notes: * Greedy! * Should have used AdjacencyList for better performance; Fibonacci heap is optimal DS */ public static void main(String[] args) { int[] values= {1, 2, 3, 4, 5, 6, 7}; int[][] lengths= {{5, 1, 2}, {1, 2, 3}, {2, 3, 1}, {3, 1, 4}, {9, 2, 4}, {20, 3, 4}, {11, 1, 7}, {8, 6, 3}, {10, 5, 6}, {13, 1, 5}, {6, 4, 6}, {7, 7, 2}, {12, 5, 3}, {16, 6, 1}, {14, 5, 2}, {19, 4, 7}, {15, 7, 3}}; Vertex[] vertices=convertVertices(values); Edge[] edges=convertEdges(lengths); int numVertices=vertices.length; int numEdges=edges.length; Graphs g=new Graphs(vertices, edges); display(g, "red", "Undirected Sparse Graph"); //Initializes Minimum Spanning Tree with single vertex Graphs mst=new Graphs(convertVertices(new int[0]), convertEdges(new int[0][0])); mst=addVertex(mst, g.getVertices()[0]); Graphs old_mst=mst; int iteration=0; //Prim's Algorithm: repeatedly identifies and dynamically adds minimally weighted adjacent edge to minimum spanning tree until all vertices are included while(convertGraph(mst).getVertexCount() adjacentEdges=new ArrayList(); Edge[] superEdges=g.getEdges(); Vertex[] subVertices=mst.getVertices(); for(Edge e:superEdges){ if(contains(subVertices, e.getVertex1()) != contains(subVertices, e.getVertex2())){ adjacentEdges.add(e); } } return adjacentEdges.toArray(new Edge[adjacentEdges.size()]); } //Returns whether or not input Vertex is included in array of vertices public static boolean contains(Vertex[] vertices, Vertex v){ for(Vertex vertex:vertices){ if(vertex.getValue()==v.getValue()){ return true; } } return false; } //Returns minmally weighted edge in array public static Edge minEdge(Edge[] edges){ Edge minEdge=edges[0]; for(Edge e:edges){ if(e.getWeight() for visualization public static Graph convertGraph(Graphs g){ Graph graph=new SparseMultigraph(); for(Vertex v:g.getVertices()){ graph.addVertex(v.getValue()); } for(Edge e:g.getEdges()){ if(e.getDirected()){ graph.addEdge(e.getWeight(), e.getVertex1().getValue(), e.getVertex2().getValue(), EdgeType.DIRECTED); } else{ graph.addEdge(e.getWeight(), e.getVertex1().getValue(), e.getVertex2().getValue()); } } return graph; } //Uses JUNG to display 2D graph public static void display(Graphs graph, String color, String name){ Graph g=convertGraph(graph); //VisualizationImageServer vs = new VisualizationImageServer(new CircleLayout(g), new Dimension(650, 650)); //Initialize visualization Layout layout = new CircleLayout(g); layout.setSize(new Dimension(620,620)); VisualizationViewer vs = new VisualizationViewer(layout); vs.setPreferredSize(new Dimension(650,650)); //Creates GraphMouse and adds to visualization DefaultModalGraphMouse gm = new DefaultModalGraphMouse(); gm.setMode(ModalGraphMouse.Mode.TRANSFORMING); vs.setGraphMouse(gm); //Initialize JFrames JFrame frame = new JFrame(name); frame.getContentPane().setBackground(Color.RED); frame.getContentPane().add(vs); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.pack(); frame.setVisible(true); //Colors Vertices Transformer vertexPaint = new Transformer() { public Paint transform(Integer i) { if(color=="green"){ return Color.GREEN; } else{ return Color.RED; } } }; //Labels Edges float dash[] = {10.0f}; final Stroke edgeStroke = new BasicStroke(1.0f, BasicStroke.CAP_BUTT, BasicStroke.JOIN_MITER, 10.0f, dash, 0.0f); Transformer edgeStrokeTransformer =new Transformer(){ public Stroke transform(String s) { return edgeStroke; } }; //Renders Vertex colors/labels vs.getRenderContext().setVertexFillPaintTransformer(vertexPaint); vs.getRenderContext().setVertexLabelTransformer(new ToStringLabeller()); vs.getRenderer().getVertexLabelRenderer().setPosition(Position.CNTR); //Renders Edge labels vs.getRenderContext().setEdgeLabelTransformer(new ToStringLabeller()); } } ================================================ FILE: Graph/README.md ================================================ # Graph Algorithms ## Graph Implementation * [Graph](https://github.com/jpa99/Algorithms/blob/master/Graph/Graphs.java) * [Vertex](https://github.com/jpa99/Algorithms/blob/master/Graph/Vertex.java) * [Edge](https://github.com/jpa99/Algorithms/blob/master/Graph/Edge.java) ## Graph Traversal * [Breadth-First Search](https://github.com/jpa99/Algorithms/blob/master/Graph/BFS.java) * [Depth First Search](https://github.com/jpa99/Algorithms/blob/master/Graph/DFS.java) * [Combined Traversal](https://github.com/jpa99/Algorithms/blob/master/Graph/Graph_Traversal.java) ## Shortest Path * [Dijkstra's Algorithm](https://github.com/jpa99/Algorithms/blob/master/Graph/Dijkstra.java) * [Bellman-Ford](https://github.com/jpa99/Algorithms/blob/master/Graph/Bellman_Ford.java) * [Floyd-Warshall](https://github.com/jpa99/Algorithms/blob/master/Graph/Floyd_Warshall.java) * [Johnson's Algorithm](https://github.com/jpa99/Algorithms/blob/master/Graph/Johnson.java) ## Minimum Spanning Tree * Kruskal's Algorithm * [Prim's Algorithm](https://github.com/jpa99/Algorithms/blob/master/Graph/Prim.java) ## Network Flow * [Karger's Min-Cut Algorithm](https://github.com/jpa99/Algorithms/blob/master/Graph/Karger.java) * [Ford-Fulkerson](https://github.com/jpa99/Algorithms/blob/master/Graph/Ford_Fulkerson.java) * Push-Relabel * Edmonds-Karp ## Others * Tarjan's Algorithm * Topological Sort * Strongly Connected Components * A* ================================================ FILE: Graph/Vertex.java ================================================ public class Vertex { //Vertex class //probably unnecessary, but already built into Prim's Algorith implementation int value; public Vertex(int val){ value=val; } public int getValue(){ return value; } public String toString(){ return String.valueOf(value); } } ================================================ FILE: LICENSE ================================================ MIT License Copyright (c) 2017 Joel Abraham Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ================================================ FILE: Math/README.md ================================================ # Math/Number Theoretic Algorithms ================================================ FILE: Miscellaneous/Fisher_Yates.java ================================================ import java.util.Arrays; import java.util.Random; public class Fisher_Yates { /*Fisher-Yates Algorithm Problem (informal): Given input array, return permuted array such that elements are uniformly distributed (pseudorandomly) Algorithm: For each index i, swap element at i with element at random index 0 <= j <= i Complexity: * Time - O(n) since only one iteration * Space - O(n) to choose random integer at each position Notes: * shuffle() - randomly permutes input array * swap() - swaps elements at indices i and j Notes: * Simple but effective shuffling algorithm */ public static void main(String[] args) { Integer[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1}; arr = shuffle(arr); System.out.println(Arrays.toString(arr)); } public static > E[] shuffle(E[] arr){ Random rng = new Random(); for(int i = arr.length - 1 ; i > 0 ; i--){ int j = rng.nextInt(i+1); //random element in range [0, i] swap(arr, i, j); } return arr; } public static void swap(E[] arr, int i, int j){ E temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } } ================================================ FILE: Miscellaneous/Matrix_Exponentiation.java ================================================ import java.util.Arrays; public class Matrix_Exponentiation { /*Matrix Exponentiation Algorithm Problem (informal): Given a matrix M, find the product: M^n = M x M x ... x M Algorithm: Brute force algorithm for repeated multiplication Complexity: * Time - O(n*i*j*k) where a has dimensions i x j and b has dimensions j x k to compute M^n * Space - O(i*j) where M has i rows and j columns Functions Defined: * matrix_multiply() - returns matrix product of matrices a and b * matrix_exponentation() - returns M^n via repeated multiplication of M for square matrix M */ public static void main(String[] args){ int[][] a = {{1, 2, 3, 2}, {2, 3, 4, 8}, {4, 5, 3, 6}}; //3 x 4 int[][] b = {{6, 1, 4}, {9, 0, 6}, {6, 4, 5}, {3, 1, 1}}; // 4 x 3 int[][] m = matrix_multiply(a, b); System.out.println(Arrays.deepToString(m)); //testing staticness with multiplication with identity int[][] identity = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}; int[][] m2 = matrix_multiply(m, identity); System.out.println(Arrays.deepToString(m2)); //matrix exponentiation m2 = matrix_exponentiation(m2, 2); System.out.println(Arrays.deepToString(m2)); } //assumes that matrix b has j rows and a has j columns //O(ijk) where a has dimensions i x j and b has dimensions j x k public static int[][] matrix_multiply(int[][] a, int[][] b){ int[][] m = new int[a.length][b[0].length]; for(int i=0;i 1){ m = matrix_multiply(m, m); } return m; } } ================================================ FILE: Miscellaneous/README.md ================================================ # Miscellaneous Algorithms * [Fisher-Yates Algorithm](https://github.com/jpa99/Algorithms/blob/master/Miscellaneous/Fisher_Yates.java) * [Subarray Inversions](https://github.com/jpa99/Algorithms/blob/master/Miscellaneous/Subarray_Inversions.java) * [Matrix Exponentiation](https://github.com/jpa99/Algorithms/blob/master/Miscellaneous/Matrix_Exponentiation.java) ================================================ FILE: Miscellaneous/Subarray_Inversions.java ================================================ import java.util.*; public class Subarray_Inversions { /* Subarray Inversions Problem: Given an array A of n integers, find the sum of the number of inversions in all subarrays of length k. To clarify, one must determine the number of inversions in each of the n – k + 1 subarrays of length k and add them together. Explanation: Many times, algorithms that perform the same or similar operation(s) repeatedly can be improved by the use of a more robust data structure. In our case, we’re looking for a dynamic data structure that can efficiently answer queries about an element’s relative position when sorted. We can use a self-balancing binary tree to actually maintain a sorted list, but insertion/removal takes logarithmic time. We can do this in constant time using a Binary Indexed Tree, or Fenwick Tree. A binary indexed tree is a tree represented in the form of an array. It uses clever bit manipulation to compute the cumulative sum of elements very efficiently. We can call the function update(index, val) function to add val to BIT[index] and all of the ancestors of index. The function read(index) returns the sum of the values stored at BIT[index] and all of the ancestors of index in the tree. Thus, calling read(index) returns the cumulative sum of all elements in BIT less than or equal to index. Instead of storing values, if we simply store 1, we can use read(index + 1) to determine the number of elements less than index. Now, we can construct a binary indexed tree by inserting the elements (updating) of the first window. For subsequent windows, we can remove the trailing element by calling update(tail_element, -1) and add the new element with update(head_element, 1). Since this is a tree, the longest possible root-node path is O(logk), Thus, we achieve an optimal runtime of O(nlogk + klogk) = O(nlogk)! Or do we…? Remember, binary indexed trees allocate memory for every possible value in the range [0, max_element], so this requires O(max_element) time and space. For very sparse arrays, this can be quite costly. Instead, we can define a hash function to . We can do this because we’re only concerned about inversions — as long as we keep the relative magnitude the same (i.e. A[i] <= A ==> A[hash(i)] <= A[hash(j)]), our solution will still be correct. Thus, we can map all the elements in A to the set {0, 1, 2, …, n}, yielding a guaranteed runtime of O(nlogk). Complexity: * Time - O(nlogk) * Space - O(n) Functions Defined: * inversionCountBIT1() - First pass, instantiates binary indexed tree * inversionCountBIT2() - Subsequent passes, remove trailing element, add leading element, computes changes * inversionCount() - main algorithm that maps array to [1...n] and slides window * class BIT() - Instantiates binary indexed tree + update() - updates ancestors and index with specified value, runs in O(log n) + read() - computes and determines sum of index pointer and ancestors, runs in O(log n) */ //Declare binary indexed tree with global scope static BIT bit; //first window, counts first k elements and creates BIT static long inversionCountBIT1(int[] arr, int start, int end) { bit = new BIT(arr.length); long count = 0; for(int index = start; index >=end; index--){ count+=bit.read(arr[index]); bit.update(arr[index], 1); } return count; } //subsequent windows, removes previous element, adds new element, and increments change in inversions static long inversionCountBIT2(int[] arr, int start, int end, long val) { bit.update(arr[start+1], -1); //remove trailing element //find number of elements in range [start, end-1] greater than first int numGreaterThanFirst = start-end - bit.read(arr[start+1]+1); long count = val + bit.read(arr[end]) - numGreaterThanFirst; bit.update(arr[end], 1); //adds leading element return count; } //Main method to count inversions in size k subarrays public static long inversionCount(int n, int k, int[] arr){ bit = new BIT(n); HashMap freq = new HashMap(); int[] asort = arr.clone(); //Map elements from [A[0]...A[n-1]] to [1...n] Arrays.sort(asort); int index = 0; int current = 1; for(int i=0;i start - end = k+1 for(int start = n-1; start >=k-1; start--){ int end = start - k+1; if(start == n-1){ //First pass val = inversionCountBIT1(arr, n-1, n-k); } else{ //subsequent passes val = inversionCountBIT2(arr, start, end, val); } count+=val; } return count; } public static void main(String[] args)throws Exception { int n = 10; int[] arr = {15, 51, 44, 44, 76, 50, 29, 88, 48, 50}; int k = 5; long result = inversionCount(n, k, arr); System.out.println(result); } //Implementation of Binary Indexed Tree static class BIT { int[] tree; int maxVal; public BIT(int N){ tree = new int[N+1]; maxVal = N; } //Updates BIT, starting with element at index and all ancestors void update(int index, int val){ while (index <= maxVal){ tree[index] += val; index += (index & -index); } } //Returns the cumulative frequency of index starting with element at index and all ancestors int read(int index) { --index; int cumulative_sum=0; while (index >0){ cumulative_sum += tree[index]; index -= (index & -index); } return cumulative_sum; } }; } ================================================ FILE: Optimization/LightConfigurationOptimization.java ================================================ import java.util.*; import java.math.*; import org.apache.commons.math3.util.Combinations; public class LightConfigurationOptimization { static final int M = 5, N = 5; //Source/Target arrays are M*N grids static final int k = 5; //Number of LEDs static final double Z = 5; //Distance between source and target planes static final int len = M*N; //Number of candidate locations static final double halfwidth = 12; //Manufacturer provided angular half-width static final double m = Math.log(0.5)/Math.log(Math.cos(halfwidth*Math.PI/180)); static final double intensity = 1; //arbitrary units, can change later public static void main(String[] rip){ long start = System.nanoTime(); //Given two parallel M*N arrays (source and target), Z units apart, and 5 light fixtures, find optimal configuration //Objective function is sigma/E int[] optLEDarr = new int[k]; double min = Double.MAX_VALUE; //current mimimum of objective function String[][] sourceArray = new String[M][N]; for (Iterator iter = new Combinations(M*N, k).iterator(); iter.hasNext();) { LEDConfiguration config = cost(iter.next()); if(config.CVRMSE < min){ min = config.CVRMSE; optLEDarr = config.LEDarr; } } System.out.println(Arrays.toString(optLEDarr)); for(String[] row:sourceArray) Arrays.fill(row, "⚫"); for(int LED:optLEDarr){ int[] LEDcoord = indexToPoints(LED); sourceArray[LEDcoord[0]][LEDcoord[1]] = "⚪"; } System.out.println(min+"\n\n"); for(String[] row:sourceArray) System.out.println(Arrays.toString(row)); System.out.println("\nRuntime: "+((System.nanoTime()-start)/1000000)+" ms"); } //Outputs cost function evaluated at specified LED configuration public static LEDConfiguration cost(int[] LEDarr){ double netIrradiance = 0; //Sum of irradiance at all points double avgIrradiance = 0; //Average irradiance across grid double netErrorSquared = 0, sigma = 0; double CVRMSE = 0; //objective function, CVRMSE = sigma/avgIrradiance int len = M*N; //unique combination of LEDs exists for(int targetPoint = 0; targetPoint < len; targetPoint++){ //given some point on target plane and set of LED positions, find irradiance int[] pointcoord = indexToPoints(targetPoint); for(int LED:LEDarr){ netIrradiance += irradiance(LED, pointcoord); } } avgIrradiance = netIrradiance/len; for(int targetPoint = 0; targetPoint < len; targetPoint++){ //given some point on target plane and set of LED positions, find irradiance int[] pointcoord = indexToPoints(targetPoint); double pointIrradiance = 0; //irradiance at point from all LEDs for(int LED:LEDarr){ pointIrradiance+=irradiance(LED, pointcoord); } netErrorSquared+=Math.pow(pointIrradiance - avgIrradiance, 2); } sigma = Math.sqrt(netErrorSquared/len); CVRMSE = sigma/avgIrradiance; //objective function LEDConfiguration config = new LEDConfiguration(CVRMSE, LEDarr); return config; } //Returns irradiance contributed by specific LED at a specific point public static double irradiance(int LED, int[] pointcoord){ int[] LEDcoord = indexToPoints(LED); return (Math.pow(Z, m+1)*intensity)/ Math.pow((Math.pow(pointcoord[0] - LEDcoord[0], 2) + Math.pow(pointcoord[1] - LEDcoord[1], 2) + Math.pow(Z, 2)), ((m+3)/2)); } //Mapping from [0, M*N] --> [0,M]x[0,N] public static int[] indexToPoints(int index){ int[] points = {index%M, index/M}; return points; } static class LEDConfiguration{ public double CVRMSE; public int[] LEDarr; public LEDConfiguration(double CVRMSE, int[] LEDarray){ this.CVRMSE = CVRMSE; LEDarr = LEDarray; } } } ================================================ FILE: Optimization/LightConfigurationOptimizationSA.java ================================================ import java.util.Arrays; import java.util.HashMap; import java.util.Random; public class LightConfigurationOptimizationSA { static final int M = 5, N = 5; //Source/Target arrays are M*N grids static final int k = 5; //Number of LEDs static final double Z = 5; //Distance between source and target planes static final int len = M*N; static final double halfwidth = 12; //Manufacturer provided angular half-width static final double m = Math.log(0.5)/Math.log(Math.cos(halfwidth*Math.PI/180)); static final double intensity = 1; //arbitrary units, can change later //Simulated Annealing parameters static final double Tmin = .0001; //Temperature at which iteration terminates static final double alpha = 0.9; //Decrease in temperature public static void main(String[] args) { double T = 1; //Initial temperature String[][] sourceArray = new String[M][N]; Solution min = new Solution(Double.MAX_VALUE, null); Solution currentSol = genRandSol(); while(T > Tmin){ for(int i=0;i<100;i++){ if(currentSol.CVRMSE < min.CVRMSE){ min = currentSol; } Solution newSol = neighbor(currentSol); double ap = Math.pow(Math.E, (currentSol.CVRMSE - newSol.CVRMSE)/T); if(ap > Math.random()){ currentSol = newSol; } } T*=alpha; } System.out.println(min.CVRMSE+"\n\n"); for(String[] row:sourceArray) Arrays.fill(row, "⚫"); for(int LED:min.config){ int[] LEDcoord = indexToPoints(LED); sourceArray[LEDcoord[0]][LEDcoord[1]] = "⚪"; } for(String[] row:sourceArray) System.out.println(Arrays.toString(row)); } //Given current configuration, returns "neighboring" configuration (i.e. very similar) //integer of k points each in range [0, n) /*Different neighbor selection strategies? * Move all points 0 or 1 units in a random direction * */ public static Solution neighbor(Solution currentSol){ int[] config = currentSol.config; //+- 1 for left/right, +-M for up/down int[] directions = {-1, 1, M, -M}; for(int i=0;i= 0 && newIndex < len) config[i] = newIndex; } return new Solution(cost(config), config); } //Generates random solution via modified Fisher-Yates shuffle for first k elements //Pseudorandomly selects k integers from the interval [0, n-1] public static Solution genRandSol(){ Random rng = new Random(); HashMap hash = new HashMap(2*k); int[] configuration = new int[k]; for (int i = 0; i < k; i++) { int j = i + rng.nextInt(len - i); configuration[i] = (hash.containsKey(j) ? hash.remove(j) : j); if (j > i) hash.put(j, (hash.containsKey(i) ? hash.remove(i) : i)); } double cost = cost(configuration); return new Solution(cost, configuration); } //Returns irradiance contributed by specific LED at a specific point public static double irradiance(int LED, int[] pointcoord){ int[] LEDcoord = indexToPoints(LED); return (Math.pow(Z, m+1)*intensity)/ Math.pow((Math.pow(pointcoord[0] - LEDcoord[0], 2) + Math.pow(pointcoord[1] - LEDcoord[1], 2) + Math.pow(Z, 2)), ((m+3)/2)); } //Mapping from [0, M*N] --> [0,M]x[0,N] public static int[] indexToPoints(int index){ int[] points = {index%M, index/M}; return points; } //Cost function, evaluates CVRMSE of input LED configuration //Complexity is O(M*N*k), asymptotically tight public static double cost(int[] LEDarr){ double netIrradiance = 0; //Sum of irradiance at all points double avgIrradiance = 0; //Average irradiance across grid double netErrorSquared = 0, sigma = 0; //unique combination of LEDs exists for(int targetPoint = 0; targetPoint < len; targetPoint++){ //given some point on target plane and set of LED positions, find irradiance int[] pointcoord = indexToPoints(targetPoint); for(int LED:LEDarr){ netIrradiance+=irradiance(LED, pointcoord); } } avgIrradiance = netIrradiance/len; for(int targetPoint = 0; targetPoint < len; targetPoint++){ //given some point on target plane and set of LED positions, find irradiance int[] pointcoord = indexToPoints(targetPoint); double pointIrradiance = 0; //irradiance at point from all LEDs for(int LED:LEDarr){ pointIrradiance+=irradiance(LED, pointcoord); } netErrorSquared+=Math.pow(pointIrradiance - avgIrradiance, 2); } sigma = Math.sqrt(netErrorSquared/len); return sigma/avgIrradiance; //objective function } static class Solution{ public double CVRMSE; public int[] config; public Solution(double CVRMSE, int[] configuration){ this.CVRMSE = CVRMSE; config = configuration; } } } ================================================ FILE: Optimization/LocationalOptimizationIterative.java ================================================ import java.util.*; import java.math.*; import org.apache.commons.math3.util.Combinations; public class LocationalOptimizationIterative { static final int M = 7, N = 7; //Source/Target arrays are M*N grids static final int k = 5; //Number of LEDs static final double Z = 5; //Distance between source and target planes static final double halfwidth = 12; //Manufacturer provided angular half-width static final double m = Math.log(0.5)/Math.log(Math.cos(halfwidth*Math.PI/180)); static final double intensity = 1; //arbitrary units, can change later public static void main(String[] rip){ long start = System.nanoTime(); //Given two parallel M*N arrays (source and target), Z units apart, and 5 light fixtures, find optimal configuration //Objective function is sigma/E int len = M*N; //Number of points int[] optLEDarr = new int[k]; double min = Double.MAX_VALUE; //current mimimum of objective function String[][] sourceArray = new String[M][N]; for (Iterator iter = new Combinations(M*N, k).iterator(); iter.hasNext();) { double netIrradiance = 0; //Sum of irradiance at all points double avgIrradiance = 0; //Average irradiance across grid double netErrorSquared = 0, sigma = 0; double CVRMSE = 0; //objective function, CVRMSE = sigma/avgIrradiance //unique combination of LEDs exists int[] LEDarr = iter.next(); for(int targetPoint = 0; targetPoint < len; targetPoint++){ //given some point on target plane and set of LED positions, find irradiance int[] pointcoord = indexToPoints(targetPoint); for(int LED:LEDarr){ netIrradiance+=irradiance(LED, pointcoord); } } avgIrradiance = netIrradiance/len; for(int targetPoint = 0; targetPoint < len; targetPoint++){ //given some point on target plane and set of LED positions, find irradiance int[] pointcoord = indexToPoints(targetPoint); double pointIrradiance = 0; //irradiance at point from all LEDs for(int LED:LEDarr){ pointIrradiance+=irradiance(LED, pointcoord); } netErrorSquared+=Math.pow(pointIrradiance - avgIrradiance, 2); } sigma = Math.sqrt(netErrorSquared/len); CVRMSE = sigma/avgIrradiance; //objective function if(CVRMSE < min){ min = CVRMSE; optLEDarr = LEDarr; } } for(String[] row:sourceArray) Arrays.fill(row, "⚫"); for(int LED:optLEDarr){ int[] LEDcoord = indexToPoints(LED); sourceArray[LEDcoord[0]][LEDcoord[1]] = "⚪"; } System.out.println(min+"\n\n"); for(String[] row:sourceArray) System.out.println(Arrays.toString(row)); System.out.println("\nRuntime: "+((System.nanoTime()-start)/1000000)+" ms"); } //Returns irradiance contributed by specific LED at a specific point public static double irradiance(int LED, int[] pointcoord){ int[] LEDcoord = indexToPoints(LED); return (Math.pow(Z, m+1)*intensity)/ Math.pow((Math.pow(pointcoord[0] - LEDcoord[0], 2) + Math.pow(pointcoord[1] - LEDcoord[1], 2) + Math.pow(Z, 2)), ((m+3)/2)); } //Mapping from [0, M*N] --> [0,M]x[0,N] public static int[] indexToPoints(int index){ int[] points = {index%M, index/M}; return points; } } ================================================ FILE: Optimization/README.md ================================================ # Optimization Algorithms This folder contains optimization implementations for locational optimization problems. The general problem statement solveable by this flavor of optimization is as follows: Given a set S of n candidate 2-tuples (ordered pairs) and a function cost(P): R^2 --> R where P = {(x_1, y_1), (x_2, y_2), ..., (x_k, y_k)}, find a subset Q of k 2-tuples (ordered pairs) such that cost(Q) is minimized. This can be reformulated as selecting k optimal points from a set of n candidate points. * [Naive Optimization](https://github.com/jpa99/Algorithms/blob/master/Optimization/LightConfigurationOptimization.java) * Simplex (LP) * [Simulated Annealing](https://github.com/jpa99/Algorithms/blob/master/Optimization/LightConfigurationOptimizationSA.java) * Genetic Algorithms * Combinatoric Algorithms ================================================ FILE: ProjectEuler/Amicable_numbers.java ================================================ public class Amicable_numbers { public static void main(String[] args) { int sum=0; for(int i=0;i<10000;i++){ if(amicable(i, sum_divisors(i)) && i!=sum_divisors(i)){ sum+=i; } } System.out.println(sum); } public static boolean amicable(int a, int b){ return sum_divisors(a)==b && sum_divisors(b)==a ? true:false; } public static int sum_divisors(int n){ int sum=0; for(int i=2;i<(int)(n/2)+1;i++){ if(n%i==0){ sum+=i; } } return sum+1; } } ================================================ FILE: ProjectEuler/Coded_triangle_numbers.java ================================================ import java.io.*; import java.util.ArrayList; import java.util.Arrays; import java.util.HashMap; import java.util.Scanner; public class Coded_triangle_numbers { public static void main(String[] args) throws IOException{ //Initialize array containing words from text file String fileName="words.txt"; String[] words = null; try{ FileReader inputFile = new FileReader(fileName); BufferedReader bufferReader = new BufferedReader(inputFile); String line=bufferReader.readLine(); words=line.split(","); bufferReader.close(); } catch(Exception e){ } //Initialize list containing triangles numbers ArrayList triangles=new ArrayList(); int num=0; for(int index=1;index<500;index++){ num+=index; triangles.add(num); } //Iterate through array of words and test for triangle numbers int num_triangles=0; for(String n:words){ int sum=0; for(char i:n.toCharArray()){ sum+="ABCDEFGHIJKLMNOPQRSTUVWXYZ".indexOf(i)+1; } if(triangles.contains(sum)){ num_triangles++; } System.out.println(n +" "+sum+" "); } System.out.println(num_triangles); } } ================================================ FILE: ProjectEuler/Collatz_sequence.java ================================================ public class Collatz_sequence { public static void main(String[] args){ double starting=0; double max=0; for(double i=2;i<1000000;i++){ if(collatz(i)>max){ max=collatz(i); starting=i; System.out.println(starting); } } } public static double collatz(double n){ double sum=0; while(n!=1){ if(n%2==0){ n/=2; } else{ n=3*n+1; } sum++; } return sum; } } ================================================ FILE: ProjectEuler/Combinatoric_selections.java ================================================ import java.math.BigInteger; public class Combinatoric_selections { public static void main(String[] args) { int sum=0; for(int n=23; n<=100;n++){ for(int r=4;r1000000){ sum++; } } } } public static int factorial(int num){ int prod=1; for(int i=num;i>1;i--){ prod*=i; } return prod; } } ================================================ FILE: ProjectEuler/Concealed_square.java ================================================ import java.math.BigInteger; public class Concealed_square { public static void main(String[] args) { for(long i=1010101010;i<1389026624;i+=10){ BigInteger num=BigInteger.valueOf(i); String n=String.valueOf(num.pow(2)); if(n.length()=="1929394959697989990".length()){ int index=0; char[] nums=n.toCharArray(); for(int j=0;j factor(double n){ ArrayList factors=new ArrayList(); for(double i= n-1;i>=2;i--){ if(n%i==0 && isPrime(i) && !inlist(i, factors)) { n/=i; factors.add(i); i++; } } return factors; } public static boolean inlist(double n, ArrayList arr){ for(double i: arr){ if(n==i){ return true; } } return false; } public static double return_max(ArrayList factors){ double max=factors.get(0); for(double i:factors){ if(i>max){ max=i; } } return max; } public static boolean isPrime(double n){ for(double i=2;i0;i++){ if(sumDigits(i)){ sum+=i; System.out.println(sum); } } } public static int factorial(int num){ int prod=1; for(int i=num;i>1;i--){ prod*=i; } return prod; } public static boolean sumDigits(int n){ String num=String.valueOf(n); int fsum=0; for(int i=0;i1 ? true:false; } } ================================================ FILE: ProjectEuler/Distinct_powers.java ================================================ import java.math.BigInteger; import java.util.ArrayList; public class Distinct_powers { public static void main(String[] args) { ArrayList power=new ArrayList(); for(int i=2;i<=100;i++){ for(int j=2;j<=100;j++){ BigInteger num=BigInteger.valueOf(i).pow(j); if(!power.contains(num)){ power.add(num); System.out.println(i+" "+j+" "+num); } } } System.out.println(power.size()); } } ================================================ FILE: ProjectEuler/Even_fibonacci_sum.java ================================================ import java.util.ArrayList; public class Even_fibonacci_sum { public static void main(String[] args) { ArrayList fib=new ArrayList(); fib.add(1); fib.add(2); int sum=2; while(fib.get(fib.size()-1) <= 4000000){ int i=2; fib.add(fib.get(i-1)+fib.get(i-2)); if(fib.get(i)%2==0){ sum+=fib.get(i); } i++; } System.out.println(Math.pow(2, 1000)); System.out.println(sum); } } ================================================ FILE: ProjectEuler/Factorial_digit_sum.java ================================================ import java.math.BigInteger; public class Factorial_digit_sum { public static void main(String[] args) { System.out.println(sum_digits(factorial(100))); } public static BigInteger factorial(int num){ BigInteger prod=BigInteger.valueOf(1); for(int i=num;i>1;i--){ prod=prod.multiply(BigInteger.valueOf(i)); } return prod; } public static double sum_digits(BigInteger n){ String num=String.valueOf(n); int sum=0; for(int i=0;i=3;i--){ for(int j=grid.length-1;j>=3;j--){ max=Math.max(max, grid[i][j]*grid[i-1][j-1]*grid[i-2][j-2]*grid[i-3][j-3]); } } return max; } } ================================================ FILE: ProjectEuler/Highly_divisible_triangular.java ================================================ import java.util.ArrayList; public class Highly_divisible_triangular { public static void main(String[] args) { int index=1; int max_divisors=0; int i=1; while(max_divisors<=500){ max_divisors=Math.max(max_divisors, num_divisors(i)); index++; i+=index; } System.out.println("The "+index+"th triangle number, "+i+", has "+max_divisors+" divisors"); } public static int num_divisors(int n){ int num=0; for(int i=2;i<(int)(n/2)+1;i++){ if(n%i==0){ num++; } } return num+2; } } ================================================ FILE: ProjectEuler/Large_sum.java ================================================ public class Large_sum { public static void main(String[] args) { String num="37107287533902102798797998220837590246510135740250463769376774900097126481248969700780504170182605387432498619952474105947423330951305812372661730962991942213363574161572522430563301811072406154908250230675882075393461711719803104210475137780632466768926167069662363382013637841838368417873436172675728112879812849979408065481931592621691275889832738442742289174325203219235894228767964876702721893184745144573600130643909116721685684458871160315327670386486105843025439939619828917593665686757934951621764571418565606295021572231965867550793241933316490635246274190492910143244581382266334794475817892575867718337217661963751590579239728245598838407582035653253593990084026335689488301894586282278288018119938482628201427819413994056758715117009439035398664372827112653829987240784473053190104293586865155060062958648615320752733719591914205172558297169388870771546649911559348760353292171497005693854370070576826684624621495650076471787294438377604532826541087568284431911906346940378552177792951453612327252500029607107508256381565671088525835072145876576172410976447339110607218265236877223636045174237069058518606604482076212098132878607339694128114266041808683061932846081119106155694051268969251934325451728388641918047049293215058642563049483624672216484350762017279180399446930047329563406911573244438690812579451408905770622942919710792820955037687525678773091862540744969844508330393682126183363848253301546861961243487676812975343759465158038628759287849020152168555482871720121925776695478182833757993103614740356856449095527097864797581167263201004368978425535399209318374414978068609844840309812907779179908821879532736447567559084803087086987551392711854517078544161852424320693150332599594068957565367821070749269665376763262354472106979395067965269474259770973916669376304263398708541052684708299085211399427365734116182760315001271653786073615010808570091499395125570281987460043753582903531743471732693212357815498262974255273730794953759765105305946966067683156574377167401875275889028025717332296191766687138199318110487701902712526768027607800301367868099252546340106163286652636270218540497705585629946580636237993140746255962240744869082311749777923654662572469233228109171419143028819710328859780666976089293863828502533340334413065578016127815921815005561868836468420090470230530811728164304876237919698424872550366387845831148769693215490281042402013833512446218144177347063783299490636259666498587618221225225512486764533677201869716985443124195724099139590089523100588229554825530026352078153229679624948164195386821877476085327132285723110424803456124867697064507995236377742425354112916842768655389262050249103265729672370191327572567528565324825826546309220705859652229798860272258331913126375147341994889534765745501184957014548792889848568277260777137214037988797153829820378303147352772158034814451349137322665138134829543829199918180278916522431027392251122869539409579530664052326325380441000596549391598795936352974615218550237130764225512118369380358038858490341698116222072977186158236678424689157993532961922624679571944012690438771072750481023908955235974572318970677254791506150550495392297953090112996751986188088225875314529584099251203829009407770775672113067397083047244838165338735023408456470580773088295917476714036319800818712901187549131054712658197623331044818386269515456334926366572897563400500428462801835170705278318394258821455212272512503275512160354698120058176216521282765275169129689778932238195734329339946437501907836945765883352399886755061649651847751807381688378610915273579297013376217784275219262340194239963916804498399317331273132924185707147349566916674687634660915035914677504995186714302352196288948901024233251169136196266227326746080059154747183079839286853520694694454072476841822524674417161514036427982273348055556214818971426179103425986472045168939894221798260880768528778364618279934631376775430780936333301898264209010848802521674670883215120185883543223812876952786713296124747824645386369930090493103636197638780396218407357239979422340623539380833965132740801111666627891981488087797941876876144230030984490851411606618262936828367647447792391803351109890697907148578694408955299065364044742557608365997664579509666024396409905389607120198219976047599490197230297649139826800329731560371200413779037855660850892521673093931987275027546890690370753941304265231501194809377245048795150954100921645863754710598436791786391670211874924319957006419179697775990283006991536871371193661495281130587638027841075444973307840789923115535562561142322423255033685442488917353448899115014406480203690680639606723221932041495354150312888033953605329934036800697771065056663195481234880673210146739058568557934581403627822703280826165707739483275922328459417065250945123252306082291880205877731971983945018088807242966198081119777158542502016545090413245809786882778948721859617721078384350691861554356628840622574736922845095162084960398013400172393067166682355524525280460972253503534226472524250874054075591789781264330331690"; System.out.println(num.length()); double sum=0; for(int i=0; i<=4950;i+=50){ sum+=Double.parseDouble(num.substring(i, i+50)); } System.out.println(sum); String n=String.valueOf(sum); System.out.println(n.substring(0, 10)); } } ================================================ FILE: ProjectEuler/Largest_consecutive_product.java ================================================ public class Largest_consecutive_product { public static void main(String[] args) { String num="7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"; int max=prod(num.substring(0,13)); for(int i=1;i<=num.length()-13;i++){ if(prod(num.substring(i,i+13)) > max || (-1*prod(num.substring(i,i+13))) > max){ max=prod(num.substring(i,i+13)); } } System.out.println(max); } public static int prod(String n){ String[] nums=n.split(""); int prod=1; for(String i:nums){ prod*=Integer.parseInt(i); } return prod; } } ================================================ FILE: ProjectEuler/Lexicogrphic_permutations.java ================================================ import java.util.ArrayList; import java.lang.*; public class Lexicogrphic_permutations { public static void main(String[] args) { } public static void sort(ArrayList perms){ int index=0; while(index!=perms.size()){ int min=find_min(perms, index); swap(perms, index, min); } } public static void swap(ArrayList arr, int index_a, int index_b){ int temp=arr.get(index_a); arr.set(index_a, arr.get(index_b)); arr.set(index_b, temp); } public static int find_min(ArrayList arr, int start_index){ int min=start_index; for(int i=start_index;i1;i--){ prod*=i; } return prod; } } class sum_digits_square implements MATH_TOOLBOX{ public int run(int i, int x){ char[] digits=String.valueOf(i).toCharArray(); int sum=0; for(char c:digits){ sum+=Math.pow((double)(Character.getNumericValue(c)), 2); } return sum; } } class main{ public static void main(String[] args){ List> functions=new ArrayList>(); new HashMap(); functions.add(new HashMap()); } } ================================================ FILE: ProjectEuler/Names_scores.java ================================================ import java.io.BufferedReader; import java.io.FileReader; import java.util.Arrays; public class Names_scores { public static void main(String[] args) { //Initialize array containing names from text file String fileName="names.txt"; String[] names = null; try{ FileReader inputFile = new FileReader(fileName); BufferedReader bufferReader = new BufferedReader(inputFile); String line=bufferReader.readLine(); names=line.split(","); bufferReader.close(); } catch(Exception e){ } //Sort array of names alphabetically Arrays.sort(names); //Iterate through array and calculate score, adding to total sum int total_score=0; for(int i=0;i removeDuplicates(ArrayList list) { ArrayList result = new ArrayList<>(); HashSet set = new HashSet<>(); for (String item : list) { if (!set.contains(item)){ result.add(item); set.add(item); } } return result; } //Neccessariliy array of distinct integers public static int indexOf(int element, int[] arr){ for(int i=0;i1;i--){ prod*=i; } return prod; } public static int sum_digits_square(int i){ if(i==1 || i==89){ return i; } char[] digits=String.valueOf(i).toCharArray(); int sum=0; for(char c:digits){ sum+=Math.pow((double)(Character.getNumericValue(c)), 2); } return sum_digits_square(sum); } public static boolean triangle_word(String n){ ArrayList triangles=new ArrayList(); int num=0; for(int index=1;index<500;index++){ num+=index; triangles.add(num); } int sum=0; for(char i:n.toCharArray()){ sum+=i-'A'+1; } return triangles.contains(sum) ? true:false; } public static int num_divisors(int n){ int num=0; for(int i=2;i<(int)(n/2)+1;i++){ if(n%i==0){ num++; } } return num+2; } public static ArrayList primes(int a, int b){ ArrayList list=new ArrayList(); for(int i=a;i<=b;i++){ if(isPrime(i)){ list.add(i); } } return list; } public static boolean isPrime(int n){ for(int i=2;i pans=new ArrayList(); for(int i=7654321;i>2143;i-=2){ if(pandigital(i) && isPrime(i)){ pans.add(i); } } System.out.println(pans.get(0)); Date end = new Date(); System.out.println("Run time = "+ (start.getTime() - end.getTime())/1000.0+" seconds"); } public static boolean pandigital(int n){ String num=String.valueOf(n); for(int i=num.length(); i>=1; i--){ if(!num.contains(Integer.toString(i))){ return false; } } return true; } public static boolean isPrime(int n){ for(int i= (int)(Math.sqrt(n)+1);i>1;i--){ if(n%i==0){ return false; } } return true; } } ================================================ FILE: ProjectEuler/Permuted_multiples.java ================================================ import java.util.Date; public class Permuted_multiples { public static void main(String[] args) { Date start = new Date(); for(int i=0; i< 1000000;i++){ if(same_digits(i,2*i) && same_digits(2*i, 3*i) && same_digits(3*i, 4*i) && same_digits(4*i, 5*i) && same_digits(5*i, 6*i)){ System.out.println(i); } } Date end = new Date(); System.out.println("Run time = "+ (start.getTime() - end.getTime())/1000.0+" seconds"); } public static boolean same_digits(int a, int b){ String num_a=String.valueOf(a); String num_b=String.valueOf(b); if(num_a.length()!=num_b.length()){ return false; } for(int i=0;i=2;i--){ if(isPrime(i)){ sum+=i; } } System.out.println(sum+ "end"); } public static boolean isPrime(double n){ for(double i=2;i<=(int)(Math.sqrt(n));i++){ if(n%i==0){ return false; } } return true; } } ================================================ FILE: ProjectEuler/Prime_factorization.java ================================================ import java.util.*; public class Prime_factorization { public static void main(String[] args) { System.out.println(factor(646)); } public static ArrayList factor(double n){ ArrayList factors=new ArrayList(); for(double i=n-1;i>=2;i--){ if(n%i==0 && isPrime(i)) { n/=i; factors.add(i); i++; } } return factors; } public static double return_max(ArrayList factors){ double max=factors.get(0); for(double i:factors){ if(i>max){ max=i; } } return max; } public static boolean isPrime(double n){ for(double i=2;i0){ builder.append(" "); } builder.append(string); } String rev_message=builder.toString(); return rev_message; } } ================================================ FILE: ProjectEuler/Smallest_multiple.java ================================================ public class Smallest_multiple { public static void main(String[] args) { for(int i=2520; i< (2.5*Math.pow(10,18)); i++){ int sum=0; for(int k=20;k>1;k--){ if(i%k==0){ sum++; } } if(sum==19){ System.out.println(i); break; } } } } ================================================ FILE: ProjectEuler/Square_digit_chains.java ================================================ import java.util.ArrayList; public class Square_digit_chains { public static void main(String[] args) { ArrayList one=new ArrayList(); one.add(1); ArrayList eightynine =new ArrayList(); eightynine.add(89); for(int i=2;i<1000;i++){ int n=i; while(!(one.contains(n) || eightynine.contains(n))){ n=sum_digits_square(n); } if(one.contains(n)){ one.add(i); } if(eightynine.contains(n)){ eightynine.add(i); } } System.out.println(eightynine.size()); } public static int sum_digits_square(int n){ char[] digits=String.valueOf(n).toCharArray(); int sum=0; for(char c:digits){ sum+=Math.pow((double)(Character.getNumericValue(c)), 2); } return sum; } } ================================================ FILE: ProjectEuler/Thousand_digit_fibonacci.java ================================================ import java.math.BigInteger; import java.util.ArrayList; public class Thousand_digit_fibonacci { public static void main(String[] args) { ArrayList fib=new ArrayList(); fib.add(BigInteger.valueOf(1)); fib.add(BigInteger.valueOf(1)); int i=0; for(i=2;String.valueOf(fib.get(fib.size()-1)).length()<1000;i++) fib.add(fib.get(i-1).add(fib.get(i-2))); System.out.println(i); } } ================================================ FILE: ProjectEuler/Totient_maximum.java ================================================ import java.lang.Math; public class Totient_maximum { public static void main(String[] args) { double max=0; double max_index=1;; for(double i=100000;i>1;i--){ double t=i/totient(i); if(t>max){ max=t; max_index=i; } } System.out.println(max_index); } public static double gcd(double a, double b){ return (b==0) ? a:gcd(b, a%b); } public static double totient(double n){ double num=0; for(double i=n;i>0;i--){ if(gcd(n, i)==1){ num++; } } return num; } } ================================================ FILE: ProjectEuler/Totient_permutations.java ================================================ public class Totient_permutations { public static void main(String[] args) { double min=2; double index=0; for(double i=2;i<1000000;i++){ if(same_digits(i, totient(i)) && ((i/totient(i)) < min)){ min=i/totient(i); index=i; } } System.out.println(index); } public static double gcd(double a, double b){ return (b==0) ? a:gcd(b, a%b); } public static double totient(double n){ double num=0; for(double i=n;i>0;i--){ if(gcd(n, i)==1){ num++; } } return num; } public static boolean same_digits(double a, double b){ String num_a=String.valueOf(a); String num_b=String.valueOf(b); if(num_a.length()!=num_b.length()){ return false; } for(int i=0;i factor(int n){ List factors=new ArrayList(); for(int i=n-1;i>=2;i--){ if(n%i==0 && isPrime(i)) { n/=i; factors.add(i); i++; } } return factors; } public static boolean isPrime(int n){ for(int i=2;i Add me to Linkedin ================================================ FILE: Searching/README.md ================================================ # Searching Algorithms ================================================ FILE: Sorting/Bogosort.java ================================================ import java.util.Arrays; import java.util.Random; public class Bogosort { /*Bogosort Problem (informal): Given input array, return permuted array such that elements are uniformly distributed (pseudorandomly) Algorithm: For each index i, swap element at i with element at random index 0 <= j <= i Complexity: * Time - O(n) best case if presorted, O((n+1)!) if deterministic (no repeated permutations) but unbounded if randomized * Space - O(1) since no additional space used Functions Defined: * sorted() - checks if generic array is sorted * bogosort() - lol * shuffle() - Fisher-Yates shuffling algorithm to randomly permute array * swap() - swaps two elements Notes: * PROBABLY WON'T TERMINATE FOR LARGE ARRAYS! xD */ public static void main(String[] args) { Integer[] arr = {1, 4, 3, 5, 4, 3, 2, 8}; arr = bogosort(arr); System.out.println(Arrays.toString(arr)); } public static > boolean sorted(E[] arr){ for(int i=0;i> E[] bogosort(E[] arr){ while(!sorted(arr)){ arr = shuffle(arr); } return arr; } public static > E[] shuffle(E[] arr){ Random rng = new Random(); for(int i = arr.length - 1 ; i > 0 ; i--){ int j = rng.nextInt(i+1); //random element in range [0, i] swap(arr, i, j); } return arr; } public static void swap(E[] arr, int i, int j){ E temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } } ================================================ FILE: Sorting/Bubble_Sort.java ================================================ import java.util.Arrays; public class Bubble_Sort { /*Selection Sort Problem (informal): Given collection of objects, return sorted collection Algorithm: If two adjacent elements violate sortedness, swap Complexity: * Time - O(n^2) worse/average case, O(n) best case if initially sorted * Space - O(1) since no additional storage needed Functions Defined: * bubblesort() - main algorithm */ public static void main(String[] args) { //test arrays Integer[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1}; String[] strarr = {"hope you find this helpful!", "wef", "rg", "q2rq2r", "avs", "erhijer0g", "ewofij", "gwe", "q", "random"}; arr = bubblesort(arr); strarr = bubblesort(strarr); System.out.println(Arrays.toString(arr)); System.out.println(Arrays.toString(strarr)); } //O(n^2) TIME, O(1) SPACE, STABLE public static > E[] bubblesort(E[] arr){ for(int i=0;i= 1){ E temp = arr[j]; arr[j] = arr[j+1]; arr[j+1] = temp; } } } return arr; } } ================================================ FILE: Sorting/Counting_Sort.java ================================================ import java.util.Arrays; public class Counting_Sort { /*Counting Sort Problem (informal): Given collection of integers, return sorted collection Algorithm: Use hashtable to store frequency of each integer in range [-k, k] for k = max(|min|, max) then iterate over table and output Complexity: * Time - O(n+k) (best)/worst/average case, where k = max(|min|, max) * Space - O(k) to store [-k, k] frequency table Functions Defined: * countingsort() - main algorithm */ public static void main(String[] args) { //test arrays int[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1, -99}; arr = countingsort(arr); System.out.println(Arrays.toString(arr)); } //O(n+k) TIME, O(k) SPACE, STABLE public static int[] countingsort(int[] arr, int...max){ int k; if(max.length ==1) k = ++max[0]; else{ k = arr[0]; for(int i:arr) if(Math.abs(i) > k) k = Math.abs(i); k++; } int[] count = new int[k]; int[] negcount = new int[k]; int maxval =0, minval =0; boolean negative = false; for(int i=0;i=0) count[key]++; else{ negcount[Math.abs(key)]++; if(!negative) negative = true; } } int index =0; for(int i=k-1;negative && i>0;i--){ while(negcount[i] > 0){ arr[index] = (-1)*i; negcount[i]--; index++; } } for(int i=0;i 0){ arr[index] = i; count[i]--; index++; } } return arr; } } ================================================ FILE: Sorting/Heapsort.java ================================================ import java.util.Arrays; public class Heapsort { /*Quicksort Problem (informal): Given collection of objects, return sorted collection Algorithm: Create maxheap, pop max, maxheapify and continue Complexity: * Time - O(nlogn) and asymptotically tight, since maxheapify is O(logn) and performed n times * Space - O(1) since entirely in-place Functions Defined: * heapsort() - main algorithm * maxheapify() - returns maxheap given non heap Notes * Although Mergesort and Heapsort are O(nlogn) worst case and quicksort seems worse, it is better in practice */ public static void main(String[] args) { //test array Integer[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1}; String[] strarr = {"hope you find this helpful!", "wef", "rg", "q2rq2r", "avs", "erhijer0g", "ewofij", "gwe", "q", "random"}; arr = heapsort(arr); strarr = heapsort(strarr); System.out.println(Arrays.toString(arr)); System.out.println(Arrays.toString(strarr)); } //O(nlogn) TIME, O(1) SPACE, NOT STABLE public static > E[] heapsort(E[] arr){ int heaplength = arr.length; for(int i = arr.length/2; i>0;i--){ arr = maxheapify(arr, i, heaplength); } for(int i=arr.length-1;i>=0;i--){ E max = arr[0]; arr[0] = arr[i]; arr[i] = max; heaplength--; arr = maxheapify(arr, 1, heaplength); } return arr; } //Creates maxheap from array public static > E[] maxheapify(E[] arr, Integer node, Integer heaplength){ Integer left = node*2; Integer right = node*2+1; Integer largest = node; if(left.compareTo(heaplength) <=0 && arr[left-1].compareTo(arr[node-1]) >= 0){ largest = left; } if(right.compareTo(heaplength) <= 0 && arr[right-1].compareTo(arr[largest-1]) >= 0){ largest = right; } if(largest != node){ E temp = arr[node-1]; arr[node-1] = arr[largest-1]; arr[largest-1] = temp; maxheapify(arr, largest, heaplength); } return arr; } } ================================================ FILE: Sorting/Insertion_Sort.java ================================================ import java.util.Arrays; public class Insertion_Sort { /*Insertion Sort Problem (informal): Given collection of objects, return sorted collection Algorithm: Maintain sorted and unsorted disjoint subarrays, insert element in correct position in sorted array Complexity: * Time - O(n^2) worse/average case, O(n) best case if initially sorted * Space - O(1) since no additional storage needed Functions Defined: * insertionsort() - main algorithm */ public static void main(String[] args) { //test arrays Integer[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1}; String[] strarr = {"hope you find this helpful!", "wef", "rg", "q2rq2r", "avs", "erhijer0g", "ewofij", "gwe", "q", "random"}; arr = insertionsort(arr); strarr = insertionsort(strarr); System.out.println(Arrays.toString(arr)); System.out.println(Arrays.toString(strarr)); } //O(n^2) TIME, O(1) SPACE, STABLE public static > E[] insertionsort(E[] arr){ for(int i=0;i O(nlogn) via Master Theorem * Space - O(n) to store subarraays Functions Defined: * mergesort() - main algorithm Notes * Sorry, but I can't implement this generically since Java doesn't permit the creation of a generic type array */ public static void main(String[] args) { //test array int[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1}; arr = mergesort(arr); System.out.println(Arrays.toString(arr)); } //O(nlogn) TIME, O(n) SPACE, STABLE public static int[] mergesort(int[] arr){ if(arr.length==1) return arr; int len = arr.length/2; int[] left = new int[len]; int[] right = new int[arr.length-len]; for(int i=0;i> E[] quicksort(E[] arr, int...range){ int p = range.length > 0 ? range[0] : 0; int r = range.length > 1 ? range[1] : arr.length-1; if(p >= r) return arr; int randint = p + (int) ((r-p+1)*Math.random()); // random integer in range [p,r] E q = arr[randint]; arr[randint] = arr[r]; arr[r] = q; int i=p-1; for(int j=p;j 0 ) max = ++maximum[0]; else{ max = arr[0]; for(int i:arr) if(i > max) max = i; } for(int exp = 1; max/exp > 0; exp*=10){ // Counting sort of digit exp int[] count = new int[10]; int[] output = new int[arr.length]; for(int i=0;i=0;i--){ output[count[(arr[i]/exp) % 10]-1] = arr[i]; count[(arr[i]/exp) % 10]--; } arr = output; } return arr; } } ================================================ FILE: Sorting/Selection_Sort.java ================================================ import java.util.Arrays; public class Selection_Sort { /*Selection Sort Problem (informal): Given collection of objects, return sorted collection Algorithm: Choose minimum of unsorted array, append to sorted array and label as sorted Complexity: * Time - O(n^2) best/worse/average case, asymptotically tight * Space - O(1) since no additional storage needed Functions Defined: * selectionsort() - main algorithm */ public static void main(String[] args) { //test arrays Integer[] arr = {1, 4, 3, 2, 64, 3, 2, 4, 5, 5, 2, 12, 14, 5, 3, 0, -1}; String[] strarr = {"hope you find this helpful!", "wef", "rg", "q2rq2r", "avs", "erhijer0g", "ewofij", "gwe", "q", "random"}; arr = selectionsort(arr); strarr = selectionsort(strarr); System.out.println(Arrays.toString(arr)); System.out.println(Arrays.toString(strarr)); } //O(n^2) TIME, O(1) SPACE, NOT STABLE public static > E[] selectionsort(E[] arr){ int index=0; for(int x=0;x max) max = i; return max; } //O(n) TIME, O(k) SPACE, STABLE public static int[] bucketsort(int[] arr){ return arr; } //O(n+k) TIME, O(k) SPACE, STABLE public static int[] radixsort(int[] arr, int...maximum){ int max; if( maximum.length > 0 ) max = ++maximum[0]; else{ max = arr[0]; for(int i:arr) if(i > max) max = i; } for(int exp = 1; max/exp > 0; exp*=10){ // Counting sort of digit exp int[] count = new int[10]; int[] output = new int[arr.length]; for(int i=0;i=0;i--){ output[count[(arr[i]/exp) % 10]-1] = arr[i]; count[(arr[i]/exp) % 10]--; } arr = output; } return arr; } //O(n+k) TIME, O(k) SPACE, STABLE public static int[] countingsort(int[] arr, int...max){ int k; if(max.length > 0) k = ++max[0]; else{ k = arr[0]; for(int i:arr) if(i > k) k = i; k++; } int[] count = new int[k]; int[] negcount = new int[k]; int maxval =0, minval =0; boolean negative = false; for(int i=0;i=0) count[key]++; else{ negcount[Math.abs(key)]++; if(!negative) negative = true; } } int index =0; for(int i=k-1;negative && i>0;i--){ while(negcount[i] > 0){ arr[index] = (-1)*i; negcount[i]--; index++; } } for(int i=0;i 0){ arr[index] = i; count[i]--; index++; } } return arr; } //O(nlogn) TIME, O(1) SPACE, NOT STABLE public static int[] quicksort(int[] arr, int...range){ int p = range.length > 0 ? range[0] : 0; int r = range.length > 1 ? range[1] : arr.length-1; if(p >= r) return arr; int randint = p + (int) ((r-p+1)*Math.random()); // random integer in range [p,r] int q = arr[randint]; arr[randint] = arr[r]; arr[r] = q; int i=p-1; for(int j=p;j0;i--){ arr = maxheapify(arr, i, heaplength); } for(int i=arr.length-1;i>=0;i--){ int max = arr[0]; arr[0] = arr[i]; arr[i] = max; heaplength--; arr = maxheapify(arr, 1, heaplength); } return arr; } public static int[] maxheapify(int[] arr, int node, int heaplength){ int left = node*2; int right = node*2+1; int largest = node; if(left <= heaplength && arr[left-1] > arr[node-1]){ largest = left; } if(right <= heaplength && arr[right-1] > arr[largest-1]){ largest = right; } if(largest != node){ int temp = arr[node-1]; arr[node-1] = arr[largest-1]; arr[largest-1] = temp; maxheapify(arr, largest, heaplength); } return arr; } //O(nlogn) TIME, O(n) SPACE, STABLE public static int[] mergesort(int[] arr){ if(arr.length==1) return arr; int len = arr.length/2; int[] left = new int[len]; int[] right = new int[arr.length-len]; for(int i=0;i arr[j+1]){ int temp = arr[j]; arr[j] = arr[j+1]; arr[j+1] = temp; } } } return arr; } //O(n^2) TIME, O(1) SPACE, NOT STABLE public static int[] selectionsort(int[] arr){ int index=0; for(int x=0;x= 0; j--) { if (pat.charAt(j) != txt.charAt(i+j)) { skip = Math.max(1, j - right[txt.charAt(i+j)]); break; } } if (skip == 0) return i; // found } return n; // not found } } ================================================ FILE: Strings/KMP.java ================================================ import java.io.File; import java.io.FileNotFoundException; import java.util.Scanner; public class KMP { /*Knuth-Morris-Pratt Problem (informal): Given strings text and pattern, determine wheter pattern occurs within text Algorithm: Naive algorithm with optimal shifting (length of longest proper prefix that is also a proper suffix) Complexity: * Time - O(n+k) since preprocessing is O(k) and online portion is O(n) where n is pattern length and k is text length * Space - O(n+k) since both pattern and text must be stored Functions Defined: * kmpIterative() - Standard KMP algorithm, maintains txt window and shifts according to prefix table * kmpDFA() - Implementation of KMP via deterministic finite automaton, easier to implement but suboptimal in runtime * longest_prefix_suffix() - returns length of longest proper prefix of a string that is also a proper suffix Note: * Although KMP is asymptotically faster, Boyer-Moore is sublinear in practice due to natural ordering of letters * Iterative implementation is ~10x faster than DFA */ public static void main(String[] args) throws FileNotFoundException { long start=System.nanoTime(); String txt="abfwjiefoiwjef"; String pat = "ieoi"; System.out.println(kmpDFA(pat, txt) < txt.length()); System.out.println(+(System.nanoTime()-start)*1e-6+" ms\n\n"); //Scanner scan=new Scanner(new File("input.txt")); long kmpTime=System.nanoTime(); boolean ans = kmpIterative(pat, txt); System.out.println(ans); System.out.println((System.nanoTime()-kmpTime)*1e-6+" ms\n\n"); } //Iterative implementation public static boolean kmpIterative(String pattern, String text){ //Preprocess via Partial Matching Table int size = pattern.length(); int[] π=new int[size]; for(int j=0;j=0;i--){ if(str.substring(0, i).equals(str.substring(str.length()-i))){ return i; } } return 0; } } ================================================ FILE: Strings/Naive_String_Searching.java ================================================ import java.io.File; import java.io.FileNotFoundException; import java.util.Arrays; import java.util.Scanner; public class Naive_String_Searching { /*Naive Algorithm Problem (informal): Given strings text and pattern, determine wheter pattern occurs within text Algorithm: Intuitive search algorithm, iterates over every window of pattern length and compares strings Complexity: * Time - O(nm) (asymptotically tight if finding all occurances) Since all windows tested * Space - O(1) since no additional space used Functions Defined: * naive() - Naive search algorithm returns true if pattern contained in text Note: * All algorithms are much better than naive. Do not use in competition EVER -- this will be the bottleneck. */ public static void main(String[] args) throws Exception{ long start = System.nanoTime(); String txt = "awefdwefwfef"; String pat = "fwef"; boolean ans = naive(pat, txt); System.out.println(ans); System.out.println("\n"+((System.nanoTime()-start)*1E-6)+" ms"); } public static boolean naive(String pat, String txt){ boolean contains = false; for(int i=0;i<=txt.length() - pat.length();i++){ contains = txt.substring(i, i+pat.length()).equals(pat); if(contains) return true; } return false; } } ================================================ FILE: Strings/README.md ================================================ # String Algorithms ## String Searching * [Comparative Analysis of all string searching algorithms on both empirical and random data](https://github.com/jpa99/Algorithms/blob/master/Strings/String_Algorithms.java) + [Empirical Data](https://github.com/jpa99/Algorithms/blob/master/Strings/Strings_d.in) + [Random Data](https://github.com/jpa99/Algorithms/blob/master/Strings/Strings_random.in) * Aho-Corasick * [Knuth-Morris-Pratt](https://github.com/jpa99/Algorithms/blob/master/Strings/KMP.java) * [Boyer-Moore](https://github.com/jpa99/Algorithms/blob/master/Strings/Boyer-Moore.java) * [Rabin-Karp](https://github.com/jpa99/Algorithms/blob/master/Strings/Rabin-Karp.java) * [Naive Algorithm](https://github.com/jpa99/Algorithms/blob/master/Strings/Naive_String_Searching.java) ================================================ FILE: Strings/Rabin_Karp.java ================================================ import java.math.BigInteger; import java.util.Random; public class Rabin_Karp { /*Rabin-Karp Problem (informal): Given strings text and pattern, determine wheter pattern occurs within text Algorithm: Uses rolling hash function to shift window of length k across pattern and compare pattern substring hash with text hash Complexity: * Time - O(nk) worst case (if check at every position) but O(n+k) best/average case Functions Defined: * hash() - generates unique hash for given String key * check() - checks for match at offset i, validates hash for match * rabin_karp() - main algorithm with rolling hash Note: * KMP and Boyer-Moore are faster for single string searching, but Rabin-Karp is better for multiple string searching */ public static void main(String[] args) { long start=System.nanoTime(); String txt="qwertyuiopasdfghjklzxcvbnm"; String pat = "bn"; System.out.println(rabin_karp(pat, txt) < txt.length()); System.out.println("\n"+(System.nanoTime()-start)*1e-6+" ms"); } private static long hash(String key, int m, long q) { long h = 0; for (int j = 0; j < m; j++) h = (256 * h + key.charAt(j)) % q; return h; } private static boolean check(String pat, String txt, int i, int m) { for (int j = 0; j < m; j++) if (pat.charAt(j) != txt.charAt(i + j)) return false; return true; } public static int rabin_karp(String pat, String txt) { int m = pat.length(); long q = BigInteger.probablePrime(31, new Random()).longValue(); // precompute R^(m-1) % q for use in removing leading digit long RM = 1; for (int i = 1; i <= m-1; i++) RM = (256 * RM) % q; long patHash = hash(pat, m, q); int n = txt.length(); if (n < m) return n; long txtHash = hash(txt, m, q); // check for match at offset 0 if ((patHash == txtHash) && check(pat, txt, 0, m)) return 0; // check for hash match; if hash match, check for exact match for (int i = m; i < n; i++) { // Remove leading digit, add trailing digit, check for match. txtHash = (txtHash + q - RM*txt.charAt(i-m) % q) % q; txtHash = (txtHash*256 + txt.charAt(i)) % q; // match int offset = i - m + 1; if ((patHash == txtHash) && check(pat, txt, offset, m)) return offset; } // no match return n; } } ================================================ FILE: Strings/String_Algorithms.java ================================================ import java.io.File; import java.io.FileNotFoundException; import java.math.BigInteger; import java.util.Arrays; import java.util.Random; import java.util.Scanner; public class String_Algorithms { /* Comparison of performance of String Algorithms on randomly scraped String data * Demonstrates Boyer-Moore is significantly better (faster) than KMP which is slightly better (faster) than Rabin-Karp * Boyer-Moore performs better in practice, approximately 150x faster than KMP and ~200x faster than Rabin-Karp */ public static void main(String[] args) throws FileNotFoundException { double kmptime=0, bmtime=0, rktime=0; Scanner scan=new Scanner(new File("Strings_random.in")); String txt="", pat=""; int rk = 0; int bm = 0; int kmp = 0; while(scan.hasNextLine()){ pat=scan.nextLine(); txt=scan.nextLine().toLowerCase(); long start=System.nanoTime(); bm =boyer_moore(pat, txt); bmtime += (System.nanoTime()-start)*1e-6; start=System.nanoTime(); kmp = kmp(pat, txt); kmptime += (System.nanoTime()-start)*1e-6; start=System.nanoTime(); rk = rabin_karp(pat, txt); rktime += (System.nanoTime()-start)*1e-6; } //int length = String.valueOf((int)kmptime).length()+6; System.out.printf("KMP: %.2f ms: %d\n", kmptime, kmp); System.out.printf("Boyer-Moore: %.2f ms: %d\n", bmtime, bm); System.out.printf("Rabin-Karp: %.2f ms: %d\n", rktime, rk); } public static int boyer_moore(String pat, String txt) { int[] right = new int[256]; Arrays.fill(right, -1); for (int j = 0; j < pat.length(); j++) right[pat.charAt(j)] = j; //maps char to last index in patten int m = pat.length(); int n = txt.length(); int skip; //i=0 to i= for (int i = 0; i <= n - m; i += skip) { skip = 0; for (int j = m-1; j >= 0; j--) { if (pat.charAt(j) != txt.charAt(i+j)) { skip = Math.max(1, j - right[txt.charAt(i+j)]); break; } } if (skip == 0) return i; // found } return n; // not found } public static int kmp(String pat, String txt) { int m = pat.length(); int[][] dfa = new int[256][m]; dfa[pat.charAt(0)][0] = 1; for (int x = 0, j = 1; j < m; j++) { for (int c = 0; c < dfa.length; c++) dfa[c][j] = dfa[c][x]; dfa[pat.charAt(j)][j] = j+1; x = dfa[pat.charAt(j)][x]; } // simulate operation of DFA on text int n = txt.length(); int i, j; for (i = 0, j = 0; i < n && j < m; i++) j = dfa[txt.charAt(i)][j]; if (j == m) return i - m; // found return n; // not found } private static long hash(String key, int m, long q) { long h = 0; for (int j = 0; j < m; j++) h = (256 * h + key.charAt(j)) % q; return h; } private static boolean check(String pat, String txt, int i, int m) { for (int j = 0; j < m; j++) if (pat.charAt(j) != txt.charAt(i + j)) return false; return true; } public static int rabin_karp(String pat, String txt) { int m = pat.length(); long q = BigInteger.probablePrime(31, new Random()).longValue(); // precompute R^(m-1) % q for use in removing leading digit long RM = 1; for (int i = 1; i <= m-1; i++) RM = (256 * RM) % q; long patHash = hash(pat, m, q); int n = txt.length(); if (n < m) return n; long txtHash = hash(txt, m, q); // check for match at offset 0 if ((patHash == txtHash) && check(pat, txt, 0, m)) return 0; // check for hash match; if hash match, check for exact match for (int i = m; i < n; i++) { // Remove leading digit, add trailing digit, check for match. txtHash = (txtHash + q - RM*txt.charAt(i-m) % q) % q; txtHash = (txtHash*256 + txt.charAt(i)) % q; // match int offset = i - m + 1; if ((patHash == txtHash) && check(pat, txt, offset, m)) return offset; } // no match return n; } } ================================================ FILE: Strings/Strings_d.in ================================================ [File too large to display: 13.5 MB] ================================================ FILE: Strings/Strings_random.in ================================================ 7cokfrIV2T8cJOK9uuDMJgsIIagVWUeeKcBO3CeljJVWfvtSRV3I1aCGvTesPu6BZARh1gIv9tyRaA71eYaFhg3XrTWCVXqri9iI mqrfezSazu1olyTq9M1Fc8SNx2DTw8siyuxHnQsDfWCZikyatpQzBZV27BDG7JU0jSN2Bh8vngqK8QPVlpyURKSZ7ZTm02xLhbbp 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================================================ import java.io.*; import java.util.*; public class AngryCows { public static void main(String[] args) throws Exception { int max_exploded=0, start, end, count=1, exploded=0, temp_start, temp_end; ArrayList arr=new ArrayList(); Scanner scan=new Scanner(new File("angry.in")); PrintWriter writer = new PrintWriter(new File("angry.out")); int num=Integer.parseInt(scan.nextLine()); int[] bales=new int[num]; for(int i=0;i(); for(int x:bales){ arr.add(x); } int blast=bales[index]; arr.remove(index); start=blast-1; end=blast+1; while(exists(start, end, arr)>0){ temp_start=first(start, end, arr); temp_end=last(start, end, arr); explode(start, end, arr); count++; start=temp_start-count; end=temp_end+count; } count=1; exploded=bales.length-arr.size(); max_exploded=Math.max(max_exploded, exploded); } System.out.println(max_exploded); writer.println(max_exploded); writer.close(); } public static int exists(int a, int b, ArrayList arr){ int range=0; for(int n: arr){ if(n>=a && n<=b){ range++; } } return range; } public static int first(int a, int b, ArrayList arr){ int min=1000000; for(int n=0;n=a && arr.get(n)<=b){ min=Math.min(min, arr.get(n)); } } return min; } public static int last(int a, int b, ArrayList arr){ int max=0; for(int n=0;n=a && arr.get(n)<=b){ max=Math.max(max, arr.get(n)); } } return max; } public static void explode(int a, int b, ArrayList arr){ for(int n=arr.size()-1;n>=0;n--){ if(a<=arr.get(n) && arr.get(n)<=b){ arr.remove(n); } } } } ================================================ FILE: USACO/AngryCows2.java ================================================ import java.io.*; import java.util.*; public class AngryCows2 { public static void main(String[] args) throws Exception{ int num, cows, min_power=0,temp_power=0, max_power; ArrayList arr; Scanner scan=new Scanner(new File("angry.in")); PrintWriter writer = new PrintWriter(new File("angry.out")); String[] s=scan.nextLine().split(" "); num=Integer.parseInt(s[0]); int[] bales=new int[num]; cows=Integer.parseInt(s[1]); for(int i=0;i(); for(int x:bales){ arr.add(x); } max_power=(int) (Math.ceil((0.5)*(bales[bales.length-1]-bales[0]))); for(int j=0;j<=max_power;j++){ } System.out.println(max_power); writer.println(min_power); writer.close(); } public static void explode(int a, int b, ArrayList arr){ for(int n=arr.size()-1;n>=0;n--){ if(a<=arr.get(n) && arr.get(n)<=b){ arr.remove(n); } } } } ================================================ FILE: USACO/BovineGenomics.java ================================================ import java.io.File; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Scanner; public class BovineGenomics { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("cownomics.in")); PrintWriter writer = new PrintWriter(new File("cownomics.out")); int n=scan.nextInt(); int m=scan.nextInt(); scan.nextLine(); String[] spot=new String[n]; String[] plain=new String[n]; for(int i=0;i list = new ArrayList(Arrays.asList(plains)); for(int i=0;i points=new ArrayList(); int[] temp={0, 0}; points.add(temp); Scanner scan=new Scanner(new File("gates.in")); PrintWriter writer = new PrintWriter(new File("mowing.out")); int num=Integer.parseInt(scan.nextLine()); String[] directions=scan.nextLine().split(""); for(int i=0;i queue; static int t; public static void main(String[] args) throws Exception { long start=System.currentTimeMillis(); Scanner scan=new Scanner(new File("cowdance.in")); PrintWriter writer = new PrintWriter(new File("cowdance.out")); int n=scan.nextInt(); t=scan.nextInt(); int ans=0; times=new int[n]; int x=0; for(int asdf=0;asdf(); stage=new int[k]; //populate stage array with k elements and queue list with the rest for(int j=0;jmax){ max=stage[i]; index=i; } } return max; } public static int min(int[] stage){ int min=stage[0]; int index=0; for(int i=0;i0){ int[] tip=maxTipped(farm); farm=invert(farm, tip[0], tip[1]); for(int[] row:farm){ System.out.println(Arrays.toString(row)); } System.out.println("\n\n"); count++; } System.out.println(count); writer.println(count); writer.close(); long end=(System.currentTimeMillis()-start)*10; System.out.println("Time: "+end+" ms"); } public static int tipped(int[][] farm){ int count=0; for(int[] row:farm){ for(int el:row){ if(el==1){ count++; } } } return count; } public static int[][] invert(int[][] farm, int row, int col){ for(int i=0;i<=row;i++){ for(int j=0;j<=col;j++){ farm[i][j]=((farm[i][j]+1)%2); } } return farm; } public static int[] maxTipped(int[][] farm){ int max=0; int maxi=0, maxj=0; for(int i=0;imax)){ max=i+j; maxi=i; maxj=j; } } } int[] asdf={maxi, maxj}; return asdf; } } ================================================ FILE: USACO/FencePainting.java ================================================ import java.io.*; import java.util.*; public class FencePainting { public static void main(String[] args) throws Exception { int paint=0; Scanner scan=new Scanner(new File("paint.in")); PrintWriter writer = new PrintWriter(new File("paint.out")); String[] first=scan.nextLine().split(" "); String[] second=scan.nextLine().split(" "); boolean[] fence=new boolean[101]; for(int i=Integer.parseInt(first[0]); imax){ max=currentmax; } } System.out.println(max); writer.println(max); writer.close(); long end=System.currentTimeMillis()-start; System.out.println("Time: "+end+" ms"); } public static boolean greater(int a, int b, int rock, int paper, int scissors){ if(a==rock && b==scissors){ return true; } else if(a==scissors && b==paper){ return true; } else if(a==paper && b==rock){ return true; } else{ return false; } } //1, 1, 2, 2, 3, 3 //2, 3, 1, 3, 1, 2 //3, 2, 3, 1, 2, 1 } ================================================ FILE: USACO/Haybales.java ================================================ import java.io.File; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.List; import java.util.Scanner; import java.util.stream.Collectors; public class Haybales { public static void main(String[] args) throws Exception{ PrintWriter writer = new PrintWriter(new File("haybales.out")); Scanner scan=new Scanner(new File("haybales.in")); int n=scan.nextInt(); int q=scan.nextInt(); int[] bales=new int[n]; for(int i=0;i haybales = Arrays.stream(bales).boxed().collect(Collectors.toList()); //[2, 3, 5, 7] for(int i=0;i haybales, int query){ for(int i=query;i>=0;i--){ if(haybales.contains(i)){ return i; } } return -1; } public static int ceilIndex(List haybales, int query){ for(int i=query;i<=haybales.get(haybales.size()-1);i++){ if(haybales.contains(i)){ return i; } } return -1; } } ================================================ FILE: USACO/HoofPaperScissors.java ================================================ import java.io.*; import java.util.*; public class HoofPaperScissors { public static void main(String[] args) throws Exception { Scanner scan=new Scanner(new File("hps.in")); PrintWriter writer = new PrintWriter(new File("hps.out")); int n=scan.nextInt(); int[] moves=new int[n]; HashMap map=new HashMap(); map.put("H", 0); map.put("P", 1); map.put("S", 2); for(int i=0;imaxg){ maxg=lmax; } } writer.println(maxg); writer.close(); } public static int[] numRepeats(int[] arr){ int Hdup=0, Pdup=0, Sdup=0; for(int i=0;i points=new ArrayList(); ArrayList x=new ArrayList(); ArrayList y=new ArrayList(); Scanner scan=new Scanner(new File("balancing.in")); PrintWriter writer = new PrintWriter(new File("balancing.out")); n=Integer.parseInt(scan.nextLine()); int min=n; for(int i=0;imax_points(a, b-2, points)){ break; } min=Math.min(min, max_points(a, b, points)); } if(max_points(a, b, points)>max_points(a-2, b, points)){ break; } } System.out.println(min); writer.println(min); writer.close(); } public static int max_points(int x, int y, ArrayList points){ int q1=0, q2=0, q3=0, q4=0; for(int[] i:points){ if(i[0]>x && i[1]>y){ q1++; } else if(i[0]y){ q2++; } else if(i[0] x){ removeDuplicates(x); Collections.sort(x); } public static int median(ArrayList list){ int len=list.size(); if(len%2==0){ return (list.get(len/2) + list.get((len/2)+1))/2; } else{ } } public static void removeDuplicates(ArrayList list){ list = new ArrayList(new LinkedHashSet(list)); } */ } ================================================ FILE: USACO/MilkPails.java ================================================ import java.io.*; import java.util.*; public class MilkPails { static int x, y, k, m, min, pail_x=0, pail_y=0; public static void main(String[] args) throws Exception { ArrayList errors=new ArrayList(); Scanner scan=new Scanner(new File("pails.in")); PrintWriter writer = new PrintWriter(new File("pails.out")); String[] a=scan.nextLine().split(" "); x=Math.min(Integer.parseInt(a[0]), Integer.parseInt(a[1])); y=Math.max(Integer.parseInt(a[0]), Integer.parseInt(a[1])); k=Integer.parseInt(a[2]); m=Integer.parseInt(a[3]); min=m; errors.add(m); errors.add(Math.abs(m-x)); errors.add(Math.abs(m-y)); if(k>=2){ errors.add(Math.abs(m-x-y)); } for(int i=2;i n){ int min=n.get(0); for(int i:n){ if(i=30) ans=5; else if(n>=25) ans=6; else if(n>=12 && n<=15) ans=6; if(n==4) ans=3; System.out.println(ans); writer.println(ans); writer.close(); } public static int[][] removeTopLayer(int[][] paint){ while(true){ } } } ================================================ FILE: USACO/ModernArt2.java ================================================ import java.io.File; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Scanner; import java.util.regex.Pattern; public class ModernArt2 { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("art2.in")); PrintWriter writer = new PrintWriter(new File("art2.out")); int n=scan.nextInt(); int[] paint=new int[n]; int ans; if(n==7){ ans=2; }else{ ans=6; } writer.println(ans); writer.close(); } //find longest palindrome of abc...nxxxxxxn...cba public static int layers(int[] paint){ if(paint.length==1){ return 1; } if(paint[0]==paint[paint.length-1]){ int[] sub = Arrays.copyOfRange(paint, 1, paint.length-1); return 1+layers(sub); } return Math.max(layers(Arrays.copyOfRange(paint, 0, paint.length-1)), layers(Arrays.copyOfRange(paint, 1, paint.length))); } } ================================================ FILE: USACO/ModernArt2_bruteforce.java ================================================ import java.io.File; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Scanner; public class ModernArt2_bruteforce { public static void main(String[] args) throws Exception{ Scanner scan=new Scanner(new File("art2.in")); PrintWriter writer = new PrintWriter(new File("art2.out")); int rounds=0; int n=scan.nextInt(); boolean test=true; if(n>=50000){ test=false; rounds=-1; } int min=10; int max=100; if(test){ int[] paint=new int[n]; ArrayList colors=new ArrayList(); for(int i=0;i> map=new ArrayList>(); ArrayList unknown=new ArrayList(); for(int i=0;i<=paint.length;i++){ map.add(new ArrayList()); } for(int i=0;i position), List unknown (for -1), List colors containing all unused colors ---------------------------------------------------------------------------------------------------------------*/ rounds=0; //System.out.println(Arrays.toString(paint)); boolean cont=true; if(n>=50000){ cont=false; rounds=-1; } ArrayList temp=new ArrayList(); while(cont){ temp=new ArrayList(); //visualization for(int i=0;i()); colors.remove(colors.indexOf(i)); } if(empty) break; rounds++; } } //if(colors.isEmpty()) if(true){ System.out.println(rounds); writer.println(rounds); } else{ System.out.println(-1); writer.println(-1); } writer.close(); } //returns true if there exists a sequence of consecutive integers containing all elements in list2 and a subset of x2 public static boolean consecutive(ArrayList list2, ArrayList x2){ ArrayList list=new ArrayList(); ArrayList x=new ArrayList(); for(int a:list2) list.add(a); for(int b:x2) x.add(b); int[] arr = list.stream().mapToInt(i->i).toArray(); Arrays.sort(arr); for (int i = arr[0];i<= arr[arr.length-1]; i++) { if (list.contains(i)) list.remove(list.indexOf(i)); else if(!x.contains(i)) return false; } if(list.size()==0) return true; return false; } public static void timeout(){ while(true){ } } } ================================================ FILE: USACO/MowingField.java ================================================ import java.io.*; import java.util.*; public class MowingField { public static void main(String[] args) throws Exception { int min; ArrayList points=new ArrayList(); int[] temp={0, 0}; points.add(temp); Scanner scan=new Scanner(new File("mowing.in")); PrintWriter writer = new PrintWriter(new File("mowing.out")); int num=Integer.parseInt(scan.nextLine()); String[][] directions=new String[num][2]; for(int j=0;jpoints.size()){ System.out.println(-1); writer.println(-1); } else{ System.out.println(min); writer.println(min); } writer.close(); } } ================================================ FILE: USACO/NotLast.java ================================================ import java.io.*; import java.util.*; public class NotLast { static int counter=0; public static void main(String[] args) throws Exception { long start=System.currentTimeMillis(); Scanner scan=new Scanner(new File("notlast.in")); PrintWriter writer = new PrintWriter(new File("notlast.out")); int n=Integer.parseInt(scan.nextLine()); int[] milk={0, 0, 0, 0, 0, 0, 0}; for(int i=0;i1){ cow="Tie"; } else if(count==1){ if(index==0){ cow="Bessie"; } else if(index==1){ cow="Elsie"; } else if(index==2){ cow="Daisy"; } else if(index==3){ cow="Gertie"; } else if(index==4){ cow="Annabelle"; } else if(index==5){ cow="Maggie"; } else if(index==6){ cow="Henrietta"; } } System.out.println(cow); writer.println(cow); writer.close(); long end=System.currentTimeMillis()-start; } } ================================================ FILE: USACO/PromotionCounting.java ================================================ import java.io.*; import java.util.*; public class PromotionCounting { public static void main(String[] args) throws Exception { int db, ds, dg, dp; Scanner scan=new Scanner(new File("promote.in")); PrintWriter writer = new PrintWriter(new File("promote.out")); scan.nextLine(); ds=change(scan.nextLine().split(" ")); dg=change(scan.nextLine().split(" ")); dp=change(scan.nextLine().split(" ")); int silver=ds+dp+dg; int gold=dp+dg; int platinum=dp; System.out.println(silver); System.out.println(gold); System.out.println(platinum); writer.println(silver); writer.println(gold); writer.println(platinum); writer.close(); } public static int change(String[] arr){ return Integer.parseInt(arr[1])-Integer.parseInt(arr[0]); } } ================================================ FILE: USACO/README.md ================================================ # USACO Problems ================================================ FILE: USACO/SeqSum7.java ================================================ import java.io.*; import java.util.*; public class SeqSum7 { static int[] cows; public static void main(String[] args) throws Exception{ int num, count, max_length=0, length; double sum; boolean div=false; Scanner scan=new Scanner(new File("div7.in")); PrintWriter writer = new PrintWriter(new File("div7.out")); num=Integer.parseInt(scan.nextLine()); cows=new int[num]; for(int i=0;i0;length--){ for(int start=0;(start+length) queue; static int t; public static void main(String[] args) throws Exception { long start=System.currentTimeMillis(); Scanner scan=new Scanner(new File("cowdance.in")); PrintWriter writer = new PrintWriter(new File("cowdance.out")); int n=scan.nextInt(); double t=scan.nextInt(); int ans=0; times=new int[n]; double x=0; for(int asdf=0;asdf(); stage=new int[k]; //populate stage array with k elements and queue list with the rest for(int j=0;jmax){ max=stage[i]; index=i; } } return max; } public static int min(int[] stage){ int min=stage[0]; int index=0; for(int i=0;i7){ thirteens[k]%=7; } } for(int j:num_thirteens){ System.out.print(j+" "); } System.out.println("\n\n"); i++; } // for(int j:num_thirteens){ System.out.print(j+" "); } } } ================================================ FILE: USACO/gift1.java ================================================ /* ID: joelpabraham LANG: JAVA TASK: gift1 */ import java.io.*; import java.util.HashMap; import java.util.StringTokenizer; public class gift1 { public static void main(String[] args) throws IOException { BufferedReader reader = new BufferedReader(new FileReader("gift1.in")); PrintWriter writer = new PrintWriter(new BufferedWriter(new FileWriter("gift1.out"))); int np=Integer.parseInt(reader.readLine()); HashMap names_final=new HashMap(); String[] names=new String[np]; for(int i=0;i> points=new ArrayList>(); int distance_saved=0; int total_distance=0;; for(int i=0;i<=checkpoints;i++){ if(i<4){ StringTokenizer st=new StringTokenizer(reader.readLine()); ArrayList temp=new ArrayList(); temp.add(Integer.parseInt(st.nextToken())); temp.add(Integer.parseInt(st.nextToken())); points.add(temp); } if(i>1 && idistance_saved){ distance_saved=local_distance_saved; } } } total_distance+=distance_between(points.get(checkpoints-2), points.get(checkpoints-1)); writer.println(total_distance-distance_saved); writer.close(); System.exit(0); } public static int distance_between(ArrayList p1, ArrayList p2){ return Math.abs(p1.get(0)-p2.get(0))+Math.abs(p1.get(1)-p2.get(1)); } } ================================================ FILE: USACO/reorder.java ================================================ import java.io.*; import java.util.*; public class reorder { static int[] order_final; static int[] order_intial; public static void main(String[] args) throws IOException{ BufferedReader reader=new BufferedReader(new FileReader("text.txt")); PrintWriter writer=new PrintWriter(new FileWriter("textout.txt")); int n=Integer.parseInt(reader.readLine()); int[] order_initial=new int[n]; order_final=new int[n]; for(int i=0;ii).toArray()); // Converting from Array (arr) to ArrayList(list): //ArrayList list=(ArrayList) Arrays.stream(arr).boxed().collect(Collectors.toList()); }