Algorithms
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Java Graph Implementation with Search Methods
import java.util.HashMap; import java.util.LinkedList;
public class Chart {
static class Employee {
int id;
String firstName;
String lastName;
String jobTitle;
boolean mapped;
Employee(int id, String fn, String ln, String jt) {
this.id = id;
this.jobTitle = jt;
this.firstName = fn;
this.lastName = ln;
}
void map() {
mapped = true;
}
void unmap() {
mapped = false;
}
}
private final HashMap<Employee, LinkedList<Employee>> assignment;
public Chart(boolean directed) {
assignment = new HashMap<>();
}
public void addEdgeHelper(Employee a, Employee b) {
LinkedList<Employee> e = assignment.get(a);
if (e != null) {
assignment.remove(b);
} else
e = new LinkedList<>();
e.add(b);
assignment.put(a, e);
}
public void addEdge(Employee boss, Employee subordinate) {
if (!assignment.containsKey(boss))
assignment.put(boss, null);
if (!assignment.containsKey(subordinate))
assignment.put(subordinate, null);
addEdgeHelper(boss, subordinate);
}
public void depthFirstSearch(Employee employee) {
employee.map();
System.out.println(employee.firstName + " " + employee.lastName + " is a " + employee.jobTitle);
LinkedList<Employee> neighbors = assignment.get(employee);
if (neighbors == null)
return;
for (Employee e : neighbors) {
if (!e.mapped)
depthFirstSearch(e);
}
}
public void breadthFirstSearch(Employee employee) {
/*Check if target item is null - if so quit*/
if (employee == null)
return;
/*Declare a queue using LinkedList and add the target item*/
LinkedList<Employee> queue = new LinkedList<>();
queue.add(employee);
/*As long as the queue has data get the first in item .removeFirst*/
while (!queue.isEmpty()) {
Employee currentFirst = queue.removeFirst();
/*If visited move on*/
if (currentFirst.mapped) {
continue;
} else {
/*else visit it and print it*/
currentFirst.map();
System.out.println(currentFirst.id + ": " + currentFirst.firstName + " " + currentFirst.lastName + " - " + currentFirst.jobTitle);
}
/*Find neighbors of the current item*/
LinkedList<Employee> allNeighbors = assignment.get(currentFirst);
/*If there are none move on*/
if (allNeighbors == null)
continue;
/*else if there are some and not visited, add them to the queue and the process starts over*/
for (Employee e : allNeighbors) {
if (!e.mapped)
queue.add(e);
}
}
}
public void resetMapping() {
for (Employee e : assignment.keySet()) {
e.unmap();
}
}
public static void main(String args[]) {
Employee a = new Employee(38, "Jimbo", "Jones", "President");
Employee b = new Employee(39, "Mike", "McCobb", "VP");
Employee c = new Employee(43, "Elda", "Two", "VP");
Employee d = new Employee(48, "Simon", "Sneeth", "VP");
Employee e = new Employee(56, "Tim", "Scott", "Manager");
Employee f = new Employee(58, "Bob", "Tilman", "Manager");
Employee g = new Employee(78, "Andrew", "Cole", "Analyst");
Employee h = new Employee(83, "Matt", "Lemon", "Analyst");
Employee i = new Employee(88, "Chris", "Lock", "Analyst");
Employee j = new Employee(71, "Agnes", "White", "Accountant");
Employee k = new Employee(61, "George", "Mills", "Manager");
Employee l = new Employee(59, "Thomas", "Wells", "Manager");
Employee m = new Employee(63, "Zip", "Two", "Manager");
Employee n = new Employee(73, "Rasta", "Him", "Technician");
Employee o = new Employee(89, "Claire", "Collins", "Supervisor");
Employee p = new Employee(95, "Jim", "Four", "Receptionist");
Employee q = new Employee(104, "Tom", "Flat", "Receptionist");
Employee r = new Employee(64, "Grace", "Marks", "Manager");
Employee s = new Employee(68, "Dan", "Four", "Manager");
Employee t = new Employee(117, "Shad", "Fifty", "Security");
Employee u = new Employee(108, "Tall", "Nephew", "Legal");
Employee v = new Employee(109, "Short", "Nephew", "Legal");
Chart chart = new Chart(true);
chart.addEdge(a, b);
chart.addEdge(a, c);
chart.addEdge(a, d);
chart.addEdge(b, e);
chart.addEdge(b, f);
chart.addEdge(e, g);
chart.addEdge(e, h);
chart.addEdge(e, i);
chart.addEdge(f, j);
chart.addEdge(c, k);
chart.addEdge(c, l);
chart.addEdge(c, m);
chart.addEdge(l, n);
chart.addEdge(k, o);
chart.addEdge(o, p);
chart.addEdge(o, q);
chart.addEdge(d, r);
chart.addEdge(d, s);
chart.addEdge(s, t);
chart.addEdge(r, u);
chart.addEdge(r, v);
//System.out.println(a.firstName + " " + a.lastName + " " + a.jobTitle + " " + a.id);
chart.resetMapping();
//chart.depthFirstSearch(k);
chart.resetMapping();
chart.breadthFirstSearch(a);
}
}
Mergesort
public class MergeSort {
private static Comparable[] aux;
public static void sort(Comparable[] a) {
aux = new Comparable[a.length];
sort(a, 0, a.length - 1);
}
private static void merge(Comparable[] a, int lo, int mid, int hi) {
assert isSorted(a, lo, mid);
assert isSorted(a, mid + 1, hi);
//copy for [] a to [] aux
for (int k = lo; k <= hi; k++) {
aux[k] = a[k];
}
// the merging process
// i is the first index of the first half of the array
// j is the first index of the second half of the array
int i = lo, j = mid + 1;
// for every value of k - the indices of [] a
for (int k = lo; k <= hi; k++) {
/*Left half exhausted take from the right*/
if (i > mid)
a[k] = aux[j++];
/*Right half exhausted take from the left*/
else if (j > hi)
a[k] = aux[i++];
/*Current key on the right less than current key on the left take from the right*/
else if (less(aux[j], aux[i]))
a[k] = aux[j++];
/*Current key on the right greater than current key on the left take from the left */
else
a[k] = aux[i++];
}
assert isSorted(a, lo, hi);
}
private static void sort(Comparable[] a, int lo, int hi) {
if (hi <= lo)
return;
int mid = lo + (hi - lo) / 2;
sort(a, lo, mid);
sort(a, mid + 1, hi);
merge(a, lo, mid, hi);
}
private static boolean less(Comparable v, Comparable w) {
return v.compareTo(w) < 0;
}
private static boolean isSorted(Comparable[] a, int lo, int hi) {
for (int i = lo + 1; i <= hi; i++)
if (less(a[i], a[i - 1])) return false;
return true;
}
public static void show(Comparable[] a) {
for (int i = 0; i < a.length; i++) {
//System.out.print(a[i]);
System.out.println(a[i]);
}
}
public static void main(String args[]) {
// Comparable[] a = {"E", "E", "G", "M", "R", "A", "C", "E", "R", "T"};
Comparable[] aa = {"A", "X", "G", "M", "R"};
Comparable[] bb = {"H", "D", "J", "Y", "Z"};
/*Merge the two comparable arrays*/
Comparable[] a = new Comparable[aa.length + bb.length];
System.arraycopy(aa, 0, a, 0, aa.length);
System.arraycopy(bb, 0, a, aa.length, bb.length);
MergeSort.sort(a);
show(a);
}
}