(UVA) Driving Range - Solution 1
I used Kruskal's algorithm to solve this problem.
import java.io.*;
import java.util.*;
class Main {
public static Edge[] edges;
public static int[] nodeParent;
public static int[] depth;
public static int count(int numCities) {
int[] v = new int[numCities];
for (int i = 0; i < numCities; i++) {
v[root(nodeParent[i])]++;
}
int c = 0;
for (int i = 0; i < numCities; i++) {
if (v[i] > 0) {
c++;
}
}
return c;
}
public static int root(int n) {
while (nodeParent[n] != n) {
n = nodeParent[n];
}
return n;
}
public static boolean union(int n1, int n2) {
int rootN1 = root(n1);
int rootN2 = root(n2);
if (rootN1 != rootN2) {
if (depth[rootN1] >= depth[rootN2]) {
nodeParent[rootN2] = nodeParent[rootN1];
if (depth[rootN1] == depth[rootN2]) {
depth[rootN1]++;
}
}
else {
nodeParent[rootN1] = nodeParent[rootN2];
}
return true;
}
return false;
}
public 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 numCities = reader(br);
int numRoads = reader(br);
while (numCities != 0 || numRoads != 0) {
edges = new Edge[numRoads];
for (int i = 0; i < numRoads; i++) {
int c1 = reader(br);
int c2 = reader(br);
int cost = reader(br);
edges[i] = new Edge(c1, c2, cost);
}
Arrays.sort(edges);
nodeParent = new int[numCities];
depth = new int[numCities];
for (int i = 0; i < numCities; i++) {
nodeParent[i] = i;
depth[i] = 0;
}
int maxCost = -1;
for (int i = 0; i < numRoads; i++) {
if (union(edges[i].city1, edges[i].city2)) {
if (edges[i].cost > maxCost) {
maxCost = edges[i].cost;
}
}
}
if (count(numCities) == 1) {
System.out.println(maxCost);
}
else {
System.out.println("IMPOSSIBLE");
}
numCities = reader(br);
numRoads = reader(br);
}
return;
}
public static void main(String[] args) throws NumberFormatException, IOException {
Main m = new Main();
m.process();
System.exit(0);
}
}
class Edge implements Comparable<Edge> {
int city1;
int city2;
int cost;
public Edge(int city1, int city2, int cost) {
this.city1 = city1;
this.city2 = city2;
this.cost = cost;
}
public int compareTo(Edge e) {
return this.cost-e.cost;
}
}
import java.io.*;
import java.util.*;
class Main {
public static Edge[] edges;
public static int[] nodeParent;
public static int[] depth;
public static int count(int numCities) {
int[] v = new int[numCities];
for (int i = 0; i < numCities; i++) {
v[root(nodeParent[i])]++;
}
int c = 0;
for (int i = 0; i < numCities; i++) {
if (v[i] > 0) {
c++;
}
}
return c;
}
public static int root(int n) {
while (nodeParent[n] != n) {
n = nodeParent[n];
}
return n;
}
public static boolean union(int n1, int n2) {
int rootN1 = root(n1);
int rootN2 = root(n2);
if (rootN1 != rootN2) {
if (depth[rootN1] >= depth[rootN2]) {
nodeParent[rootN2] = nodeParent[rootN1];
if (depth[rootN1] == depth[rootN2]) {
depth[rootN1]++;
}
}
else {
nodeParent[rootN1] = nodeParent[rootN2];
}
return true;
}
return false;
}
public 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 numCities = reader(br);
int numRoads = reader(br);
while (numCities != 0 || numRoads != 0) {
edges = new Edge[numRoads];
for (int i = 0; i < numRoads; i++) {
int c1 = reader(br);
int c2 = reader(br);
int cost = reader(br);
edges[i] = new Edge(c1, c2, cost);
}
Arrays.sort(edges);
nodeParent = new int[numCities];
depth = new int[numCities];
for (int i = 0; i < numCities; i++) {
nodeParent[i] = i;
depth[i] = 0;
}
int maxCost = -1;
for (int i = 0; i < numRoads; i++) {
if (union(edges[i].city1, edges[i].city2)) {
if (edges[i].cost > maxCost) {
maxCost = edges[i].cost;
}
}
}
if (count(numCities) == 1) {
System.out.println(maxCost);
}
else {
System.out.println("IMPOSSIBLE");
}
numCities = reader(br);
numRoads = reader(br);
}
return;
}
public static void main(String[] args) throws NumberFormatException, IOException {
Main m = new Main();
m.process();
System.exit(0);
}
}
class Edge implements Comparable<Edge> {
int city1;
int city2;
int cost;
public Edge(int city1, int city2, int cost) {
this.city1 = city1;
this.city2 = city2;
this.cost = cost;
}
public int compareTo(Edge e) {
return this.cost-e.cost;
}
}
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