Finding a connection between cities using least-cost search algorithm

This Java program prints the distance between two cities if there is a
flight between them otherwise, prints 0. The least-cost search algorithm
is used to find the result.

Java Code:
```import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Stack;

// Flight information.
class FlightInfo {
String from;

String to;

int distance;

boolean skip; // used in backtracking

FlightInfo(String f, String t, int d) {
from = f;
to = t;
distance = d;
skip = false;
}
}

public class Optimal {
final int MAX = 100;

// This array holds the flight information.
FlightInfo flights[] = new FlightInfo[MAX];

int numFlights = 0; // number of entries in flight array

Stack btStack = new Stack(); // backtrack stack

Stack optimal; // holds optimal solution

int minDist = 10000;

public static void main(String args[]) {
String to, from;
Optimal ob = new Optimal();
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
boolean done = false;
FlightInfo f;

ob.setup();

try {
System.out.print("From? ");
from = br.readLine();
System.out.print("To? ");
to = br.readLine();
do {
ob.isflight(from, to);

if (ob.btStack.size() == 0)
done = true;
else {
ob.route(to);
ob.btStack = new Stack();
}
} while (!done);

// Display optimal solution.
if (ob.optimal != null) {
System.out.println("Optimal solution is: ");

int num = ob.optimal.size();
for (int i = 0; i < num; i++) {
f = (FlightInfo) ob.optimal.pop();
System.out.print(f.from + " to ");
}

System.out.println(to);
System.out.println("Distance is " + ob.minDist);
}
} catch (IOException exc) {
System.out.println("Error on input.");
}
}

// Initialize the flight database.
void setup() {
addFlight("New York", "Chicago", 900);
addFlight("Chicago", "Denver", 1000);
addFlight("New York", "Toronto", 500);
addFlight("New York", "Denver", 1800);
addFlight("Toronto", "Calgary", 1700);
addFlight("Toronto", "Los Angeles", 2500);
addFlight("Toronto", "Chicago", 500);
addFlight("Denver", "Urbana", 1000);
addFlight("Denver", "Houston", 1000);
addFlight("Houston", "Los Angeles", 1500);
addFlight("Denver", "Los Angeles", 1000);
}

// Put flights into the database.
void addFlight(String from, String to, int dist) {
if (numFlights < MAX) {
flights[numFlights] = new FlightInfo(from, to, dist);

numFlights++;
} else
System.out.println("Flight database full.\n");
}

// Save shortest route.
void route(String to) {
int dist = 0;
FlightInfo f;
int num = btStack.size();
Stack optTemp = new Stack();

for (int i = 0; i < num; i++) {
f = (FlightInfo) btStack.pop();
optTemp.push(f); // save route
dist += f.distance;
}

// If shorter, keep this route
if (minDist > dist) {
optimal = optTemp;
minDist = dist;
}
}

/*
* If there is a flight between from and to, return the distance of flight;
* otherwise, return 0.
*/
int match(String from, String to) {
for (int i = numFlights - 1; i > -1; i--) {
if (flights[i].from.equals(from) && flights[i].to.equals(to)
&& !flights[i].skip) {
flights[i].skip = true; // prevent reuse
return flights[i].distance;
}
}

return 0; // not found
}

// Given from, find any connection using least-cost.
FlightInfo find(String from) {
int pos = -1;
int dist = 10000; // longer than longest route

for (int i = 0; i < numFlights; i++) {
if (flights[i].from.equals(from) && !flights[i].skip) {
// Use the shortest flight.
if (flights[i].distance < dist) {
pos = i;
dist = flights[i].distance;
}
}
}

if (pos != -1) {
flights[pos].skip = true; // prevent reuse
FlightInfo f = new FlightInfo(flights[pos].from, flights[pos].to,
flights[pos].distance);
return f;
}

return null;
}

// Determine if there is a route between from and to.
void isflight(String from, String to) {
int dist;
FlightInfo f;
// See if at destination.
dist = match(from, to);
if (dist != 0) {
btStack.push(new FlightInfo(from, to, dist));
return;
}

// Try another connection.
f = find(from);
if (f != null) {
btStack.push(new FlightInfo(from, to, f.distance));
isflight(f.to, to);
} else if (btStack.size() > 0) {
// Backtrack and try another connection.
f = (FlightInfo) btStack.pop();
isflight(f.from, f.to);
}
}
}```