Shortest path in simple graph
Build Post Office II
http://www.lintcode.com/en/problem/build-post-office-ii/
class Coordinate {
int x, y;
public Coordinate(int x, int y) {
this.x = x;
this.y = y;
}
}
public class Solution {
public int EMPTY = 0;
public int HOUSE = 1;
public int WALL = 2;
public int[][] grid;
public int n, m;
public int[] deltaX = {0, 1, -1, 0};
public int[] deltaY = {1, 0, 0, -1};
private List<Coordinate> getCoordinates(int type) {
List<Coordinate> coordinates = new ArrayList<>();
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
if (grid[i][j] == type) {
coordinates.add(new Coordinate(i, j));
}
}
}
return coordinates;
}
private void setGrid(int[][] grid) {
n = grid.length;
m = grid[0].length;
this.grid = grid;
}
private boolean inBound(Coordinate coor) {
if (coor.x < 0 || coor.x >= n) {
return false;
}
if (coor.y < 0 || coor.y >= m) {
return false;
}
return grid[coor.x][coor.y] == EMPTY;
}
/**
* @param grid a 2D grid
* @return an integer
*/
public int shortestDistance(int[][] grid) {
if (grid == null || grid.length == 0 || grid[0].length == 0) {
return -1;
}
// set n, m, grid
setGrid(grid);
List<Coordinate> houses = getCoordinates(HOUSE);
int[][] distanceSum = new int[n][m];;
int[][] visitedTimes = new int[n][m];;
for (Coordinate house : houses) {
bfs(house, distanceSum, visitedTimes);
}
int shortest = Integer.MAX_VALUE;
List<Coordinate> empties = getCoordinates(EMPTY);
for (Coordinate empty : empties) {
if (visitedTimes[empty.x][empty.y] != houses.size()) {
continue;
}
shortest = Math.min(shortest, distanceSum[empty.x][empty.y]);
}
if (shortest == Integer.MAX_VALUE) {
return -1;
}
return shortest;
}
private void bfs(Coordinate start,
int[][] distanceSum,
int[][] visitedTimes) {
Queue<Coordinate> queue = new LinkedList<>();
boolean[][] hash = new boolean[n][m];
queue.offer(start);
hash[start.x][start.y] = true;
int steps = 0;
while (!queue.isEmpty()) {
steps++;
int size = queue.size();
for (int temp = 0; temp < size; temp++) {
Coordinate coor = queue.poll();
for (int i = 0; i < 4; i++) {
Coordinate adj = new Coordinate(
coor.x + deltaX[i],
coor.y + deltaY[i]
);
if (!inBound(adj)) {
continue;
}
if (hash[adj.x][adj.y]) {
continue;
}
queue.offer(adj);
hash[adj.x][adj.y] = true;
distanceSum[adj.x][adj.y] += steps;
visitedTimes[adj.x][adj.y]++;
} // direction
} // for temp
} // while
}
}
Nearest Exit
http://www.lintcode.com/en/problem/nearest-exit/
public class Solution {
/**
* @param rooms m x n 2D grid
* @return nothing
*/
private final int INF = Integer.MAX_VALUE;
private static int m, n;
public void wallsAndGates(int[][] rooms) {
// Write your code here
if(rooms == null || rooms.length == 0) return;
if(rooms[0] == null || rooms[0].length == 0) return;
m = rooms.length;
n = rooms[0].length;
Queue<Integer> xq = new LinkedList<>();
Queue<Integer> yq = new LinkedList<>();
initial(rooms, xq, yq);
int[] dx = {1, 0, 0, -1};
int[] dy = {0, 1, -1, 0};
while(!xq.isEmpty()){
int cx = xq.poll(), cy = yq.poll();
int val = rooms[cx][cy];
for(int i = 0; i < 4; i++){
int nx = cx + dx[i], ny = cy + dy[i];
if(inbound(nx, ny) && rooms[nx][ny] == INF){
rooms[nx][ny] = val + 1;
xq.offer(nx);
yq.offer(ny);
}
}
}
}
private void initial(int[][] rooms, Queue<Integer> xq, Queue<Integer> yq){
for(int i = 0; i < m; i++){
for(int j = 0; j < n; j++){
if(rooms[i][j] == 0){
xq.offer(i);
yq.offer(j);
}
}
}
}
private boolean inbound(int x, int y){
if(x < 0 || x >= m || y < 0 || y >= n){
return false;
}
return true;
}
}
Word Ladder
http://www.lintcode.com/en/problem/word-ladder/