/**
* checks whether element is full
*
* @param i - row
* @param j - column
* @return true is is full
*/
public boolean isFull(final int i, final int j) {
checkBoundary(i, j);
if (isOpen(i, j)) {
return model.connected(model.find(getAbsoluteCoordinate(i, j)), topVirtualElement);
}
return false;
}
public static void main(String[] args) {
// write your code here
System.out.println("hello world!\n");
WeightedQuickUnionUF qu = new WeightedQuickUnionUF(10);
qu.union(0, 1);
qu.union(1, 2);
qu.union(5, 6);
qu.union(7, 9);
Assert.check(qu.connected(0, 2));
}
/**
* Reads in a sequence of pairs of integers (between 0 and N-1) from standard input, where each
* integer represents some object; if the objects are in different components, merge the two
* components and print the pair to standard output.
*/
public static void main(String[] args) {
int N = StdIn.readInt();
WeightedQuickUnionUF uf = new WeightedQuickUnionUF(N);
while (!StdIn.isEmpty()) {
int p = StdIn.readInt();
int q = StdIn.readInt();
if (uf.connected(p, q)) continue;
uf.union(p, q);
StdOut.println(p + " " + q);
}
StdOut.println(uf.count() + " components");
}
/** is site (row i, column j) full? */
public boolean isFull(int i, int j) {
if (i < 1 || i > this.size || j < 1 || j > this.size) {
throw new java.lang.IndexOutOfBoundsException();
}
int p = xyTo1D(i, j);
return wqu.connected(this.virtualTop, p);
}
private void connectNeighbour(int x, int y, int x1, int y1) {
if (y1 == -1 || y1 == N) {
return;
}
if (x1 == -1) {
gridFull.union(convertCoordinates(x, y), topVirtual);
gridPercolates.union(convertCoordinates(x, y), topVirtual);
return;
} else if (x1 == N) {
gridPercolates.union(convertCoordinates(x, y), bottomVirtual);
return;
}
if (isOpened(x1, y1)) {
gridFull.union(convertCoordinates(x, y), convertCoordinates(x1, y1));
gridPercolates.union(convertCoordinates(x, y), convertCoordinates(x1, y1));
}
}
// open site (row i, column j) if it is not open already
public void open(int i, int j) {
check(i, j);
if (!isOpen(i, j)) {
op[num * (i - 1) + j - 1] = true;
if (i == 1) {
unionBoth(j - 1, num * num);
}
if (i == num) uf1.union(num * (i - 1) + j - 1, num * num + 1);
conNeighbor(i, j);
}
}
public void open(int i, int j) {
i = verifyIndex(i);
j = verifyIndex(j);
sites[i][j] = true;
int thisId = nId(i, j);
if (i > 0 && sites[i - 1][j]) {
uf.union(thisId, nId(i - 1, j));
}
if (i < dim - 1 && sites[i + 1][j]) {
uf.union(thisId, nId(i + 1, j));
}
if (j > 0 && sites[i][j - 1]) {
uf.union(thisId, nId(i, j - 1));
}
if (j < dim - 1 && sites[i][j + 1]) {
uf.union(thisId, nId(i, j + 1));
}
if (i == 0) {
uf.union(thisId, top);
}
if (i == dim - 1) {
uf.union(thisId, bottom);
}
}
public static void main(String[] args) {
WeightedQuickUnionUF uf = new WeightedQuickUnionUF(10);
MinPQ<String> minPQ = new MinPQ<>(17, new Prob1().new myComparator());
String prob =
"F-A 16 G-A 13 B-A 3 C-B 6 H-B 5 G-B 2 C-D 12 C-I 9 C-H 1 D-I 14 J-D 8 D-E 7 J-E 17 F-G 15 G-H 4 I-H 11 I-J 10";
String[] temp = prob.trim().split("\\s+");
for (int i = 0; i < temp.length; i += 2) {
String record = temp[i] + "," + temp[i + 1];
minPQ.insert(record);
}
int sizeOfMST = 0;
while (!minPQ.isEmpty() && sizeOfMST <= 9) {
String minEdgeStr = minPQ.delMin();
String[] vertexStr = minEdgeStr.split(",")[0].split("-");
int v = vertexStr[0].charAt(0) - 'A';
int w = vertexStr[1].charAt(0) - 'A';
if (!uf.connected(v, w)) {
uf.union(v, w);
System.out.println(minEdgeStr);
sizeOfMST++;
}
}
}
public void open(int i, int j) { // open site (row i, column j) if it is not open already
// check index validity
if (i < 1 || i > N || j < 1 || j > N) {
throw new java.lang.IndexOutOfBoundsException();
}
// convert to actual index
int ni = i - 1, nj = j - 1;
int site_index = ni * N + nj;
// if not open yet
if (!grid[site_index]) {
grid[site_index] = true;
// check surrounding sites
int surr_i, surr_j;
for (int k = 0; k < 4; k++) {
surr_i = ni + surrX[k];
surr_j = nj + surrY[k];
// if surrounding site exist and is open already
// connect to the open part
int surr_site = surr_i * N + surr_j;
if (surr_i >= 0 && surr_i < N && surr_j >= 0 && surr_j < N && grid[surr_site]) {
perc.union(site_index, surr_site);
percExtra.union(site_index, surr_site);
}
}
// check top and bottom virtual roots
if (i == 1) { // connect the sites in the 1st row with the top
perc.union(site_index, N * N);
percExtra.union(site_index, N * N);
}
if (i == N) { // connect the sites in the last row with the bottom
perc.union(site_index, N * N + 1);
}
}
}
/** open site (row i, column j) if it is not open already */
public void open(int i, int j) {
if (i < 1 || i > this.size || j < 1 || j > this.size) {
throw new java.lang.IndexOutOfBoundsException();
}
if (this.openMatrix[i][j]) {
return;
}
this.openMatrix[i][j] = true;
int p = xyTo1D(i, j);
if (i == 1) {
checkBottom(p, this.virtualTop);
}
if (i == this.size) {
int root = wqu.find(p);
this.connectedToBottom[root] = true;
}
if (i - 1 >= 1) {
if (isOpen(i - 1, j)) {
int q = xyTo1D(i - 1, j);
// this.wqu.union(p, q);
checkBottom(p, q);
}
}
if (i + 1 <= this.size) {
if (isOpen(i + 1, j)) {
int q = xyTo1D(i + 1, j);
checkBottom(p, q);
}
}
if (j - 1 >= 1) {
if (isOpen(i, j - 1)) {
int q = xyTo1D(i, j - 1);
checkBottom(p, q);
}
}
if (j + 1 <= this.size) {
if (isOpen(i, j + 1)) {
int q = xyTo1D(i, j + 1);
checkBottom(p, q);
}
}
}
// open site (row i, column j) if it is not open already
public void open(int i, int j) {
checkBounds(i, j);
grid[i - 1][j - 1] = 1; // mark node as open
if (i == 1) wquf.union(xyTo1D(i, j), top); // connect to virtual top
if (i == size) wquf.union(xyTo1D(i, j), bottom); // connect to virtual bottom
if ((i > 1) && isOpen(i - 1, j)) // connect to open (row-1, col)
wquf.union(xyTo1D(i - 1, j), xyTo1D(i, j));
if ((i < size) && isOpen(i + 1, j))
wquf.union(xyTo1D(i + 1, j), xyTo1D(i, j)); // connect to open (row+1, col)
if ((j > 1) && isOpen(i, j - 1))
wquf.union(xyTo1D(i, j - 1), xyTo1D(i, j)); // connect to open (row, col-1)
if ((j < size) && isOpen(i, j + 1))
wquf.union(xyTo1D(i, j + 1), xyTo1D(i, j)); // connect to open (row, col+1)
}
// does the system percolate?
public boolean percolates() {
return gridPercolates.connected(topVirtual, bottomVirtual);
}
// is site (row i, column j) full?
public boolean isFull(int i, int j) {
checkBounds(i, j);
return gridFull.connected(topVirtual, convertCoordinates(i - 1, j - 1));
}
public boolean percolates() { // does the system percolate?
return perc.connected(N * N, N * N + 1);
}
public boolean isFull(int i, int j) { // is site (row i, column j) full?
return isOpen(i, j) && percExtra.connected((i - 1) * N + (j - 1), N * N);
}
private void unionBoth(int p, int q) {
uf1.union(p, q);
uf2.union(p, q);
}
/**
* checks whether bottom neighbour is existed and connects it to the current element
*
* @param i - row
* @param j - column
*/
private void connectBottomNeighbour(final int i, final int j) {
int current = getAbsoluteCoordinate(i, j);
if (i < end - 1 && isOpen(i + 1, j)) {
model.union(current, model.find(checkNeighbour(i + 1, j)));
}
}
/**
* checks whether top neighbour is existed and connects it to the current element
*
* @param i - row
* @param j - column
*/
private void connectTopNeighbour(final int i, final int j) {
int current = getAbsoluteCoordinate(i, j);
if (i > begin && isOpen(i - 1, j)) {
model.union(current, model.find(checkNeighbour(i - 1, j)));
}
}
/**
* connects current element to the virtual bottom element
*
* @param i - row
* @param j - column
*/
private void connectVirtualBottom(final int i, final int j) {
int current = getAbsoluteCoordinate(i, j);
if (i == end - 1) {
model.union(current, bottomVirtualElement);
}
}
// does the system percolate?
public boolean percolates() {
return uf1.connected(num * num, num * num + 1);
}
// is site (row i, column j) full?
public boolean isFull(int i, int j) {
check(i, j);
return uf2.connected(num * (i - 1) + j - 1, num * num);
}
public boolean isFull(int i, int j) {
i = verifyIndex(i);
j = verifyIndex(j);
return uf.connected(top, nId(i, j));
}
// is site (row i, column j) full?
public boolean isFull(int i, int j) {
checkBounds(i, j);
return wquf.connected(top, xyTo1D(i, j));
}
/**
* checks whether grid percolates
*
* @return true if percolates
*/
public boolean percolates() {
return model.connected(topVirtualElement, bottomVirtualElement);
}
/**
* connects current element to the virtual top element
*
* @param i - row
* @param j - column
*/
private void connectVirtualTop(final int i, final int j) {
int current = getAbsoluteCoordinate(i, j);
if (i == begin) {
model.union(current, topVirtualElement);
}
}
public boolean percolates() {
return uf.connected(top, bottom);
}
