(UVA) Ubiquitous Religions - Solução 2
You can check another solution for this problem here.
For this solution, I changed the structure used in the count() method. In the previous solution, I used an ArrayList of Integer. Now, I use a simple array. This solution is better because we know that the array will have at most "numPeople"+1 and an ArrayList resizes itself periodically.
import java.io.*;
import java.util.*;
class Main {
public static Element[] vector;
public static int count() {
int[] v = new int[vector.length];
for (int i = 1; i < vector.length; i++) {
v[root(vector[i].parent)] += 1;
}
int components = 0;
for (int i = 1; i < v.length; i++) {
if (v[i] > 0) {
components++;
}
}
return components;
}
public static int root(int n) {
int currNode = n;
while (vector[currNode].parent != currNode) {
currNode = vector[currNode].parent;
}
return currNode;
}
public static void union(int p1, int p2) {
int rootP1 = root(p1);
int rootP2 = root(p2);
if (rootP1 != rootP2) { // they are not connected
if (vector[rootP1].depth >= vector[rootP2].depth) {
vector[rootP2].parent = vector[rootP1].parent;
if (vector[rootP1].depth == vector[rootP2].depth) {
vector[rootP1].depth++;
}
}
else {
vector[rootP1].parent = vector[rootP2].parent;
}
}
}
public static void readEntries(BufferedReader br, int numPairs) throws NumberFormatException, IOException {
for (int i = 0; i < numPairs; i++) {
int p1 = reader(br);
int p2 = reader(br);
union(p1, p2);
}
}
public static void initVector(int numPeople) {
vector = new Element[numPeople+1];
for (int i = 1; i <= numPeople; i++) {
Element e = new Element(i, 0);
vector[i] = e;
}
}
static int reader(BufferedReader br) throws NumberFormatException, IOException {
int n;
int resp = 0;
while (true) {
n = br.read();
if (n >= '0' && n <= '9') {
break;
}
}
while (true) {
resp = resp*10 + n-'0';
n = br.read();
if (n < '0' || n > '9') {
break;
}
}
return resp;
}
public static void process() throws NumberFormatException, IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int numPeople = reader(br);
int numPairs = reader(br);
int numCase = 1;
while (numPeople != 0 || numPairs != 0) {
vector = new Element[numPeople+1];
initVector(numPeople);
readEntries(br, numPairs);
System.out.println("Case " + numCase++ + ": " + count());
numPeople = reader(br);
numPairs = reader(br);
}
return;
}
public static void main(String[] args) throws NumberFormatException, IOException {
Main m = new Main();
m.process();
System.exit(0);
}
}
class Element {
int parent;
int depth;
public Element(int parent, int depth) {
this.parent = parent;
this.depth = depth;
}
}
For this solution, I changed the structure used in the count() method. In the previous solution, I used an ArrayList of Integer. Now, I use a simple array. This solution is better because we know that the array will have at most "numPeople"+1 and an ArrayList resizes itself periodically.
import java.io.*;
import java.util.*;
class Main {
public static Element[] vector;
public static int count() {
int[] v = new int[vector.length];
for (int i = 1; i < vector.length; i++) {
v[root(vector[i].parent)] += 1;
}
int components = 0;
for (int i = 1; i < v.length; i++) {
if (v[i] > 0) {
components++;
}
}
return components;
}
public static int root(int n) {
int currNode = n;
while (vector[currNode].parent != currNode) {
currNode = vector[currNode].parent;
}
return currNode;
}
public static void union(int p1, int p2) {
int rootP1 = root(p1);
int rootP2 = root(p2);
if (rootP1 != rootP2) { // they are not connected
if (vector[rootP1].depth >= vector[rootP2].depth) {
vector[rootP2].parent = vector[rootP1].parent;
if (vector[rootP1].depth == vector[rootP2].depth) {
vector[rootP1].depth++;
}
}
else {
vector[rootP1].parent = vector[rootP2].parent;
}
}
}
public static void readEntries(BufferedReader br, int numPairs) throws NumberFormatException, IOException {
for (int i = 0; i < numPairs; i++) {
int p1 = reader(br);
int p2 = reader(br);
union(p1, p2);
}
}
public static void initVector(int numPeople) {
vector = new Element[numPeople+1];
for (int i = 1; i <= numPeople; i++) {
Element e = new Element(i, 0);
vector[i] = e;
}
}
static int reader(BufferedReader br) throws NumberFormatException, IOException {
int n;
int resp = 0;
while (true) {
n = br.read();
if (n >= '0' && n <= '9') {
break;
}
}
while (true) {
resp = resp*10 + n-'0';
n = br.read();
if (n < '0' || n > '9') {
break;
}
}
return resp;
}
public static void process() throws NumberFormatException, IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int numPeople = reader(br);
int numPairs = reader(br);
int numCase = 1;
while (numPeople != 0 || numPairs != 0) {
vector = new Element[numPeople+1];
initVector(numPeople);
readEntries(br, numPairs);
System.out.println("Case " + numCase++ + ": " + count());
numPeople = reader(br);
numPairs = reader(br);
}
return;
}
public static void main(String[] args) throws NumberFormatException, IOException {
Main m = new Main();
m.process();
System.exit(0);
}
}
class Element {
int parent;
int depth;
public Element(int parent, int depth) {
this.parent = parent;
this.depth = depth;
}
}
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