public void Connect_4_with_3_and_3_with_8_and_9_with_4()
{
var uf = new QuickFindUF(10);
uf.Union(4, 3);
uf.Union(3, 8);
uf.Union(9, 4);
for (int i = 0; i < uf.Length; i++)
{
if (i == 3)
{
Assert.Equal(8, uf.Nodes[i]);
}
else if (i == 4)
{
Assert.Equal(8, uf.Nodes[i]);
}
else if (i == 9)
{
Assert.Equal(8, uf.Nodes[i]);
}
else
{
Assert.Equal(i, uf.Nodes[i]);
}
}
}
static void Compute()
{
char[] split = { '\n', '\r' };
var input = TestCase.Properties.Resources.mediumUF.Split(split, StringSplitOptions.RemoveEmptyEntries);
var size = int.Parse(input[0]);
var quickFind = new QuickFindUF(size);
var quickUnion = new QuickUnionUF(size);
string[] pair;
int p, q;
var quickFindResult = new int[size];
var quickUnionResult = new int[size];
for (var i = 1; i < size; i++)
{
pair = input[i].Split(' ');
p = int.Parse(pair[0]);
q = int.Parse(pair[1]);
quickFind.Union(p, q);
quickUnion.Union(p, q);
quickFindResult[i - 1] = quickFind.ArrayVisitCount;
quickUnionResult[i - 1] = quickUnion.ArrayVisitCount;
quickFind.ResetArrayCount();
quickUnion.ResetArrayCount();
}
Draw(quickFindResult);
Draw(quickUnionResult);
}
public void testUnionAndConnected_MultiConnection()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Union(0, 1);
quickFindUF.Union(2, 1);
Assert.IsTrue(quickFindUF.Connected(0, 1));
Assert.IsTrue(quickFindUF.Connected(2, 1));
Assert.IsTrue(quickFindUF.Connected(2, 0));
Assert.AreEqual(8, quickFindUF.Count());
Assert.AreEqual(1, quickFindUF.Find(1));
Assert.AreEqual(1, quickFindUF.Find(0));
Assert.AreEqual(1, quickFindUF.Find(2));
quickFindUF.Union(2, 5);
Assert.IsTrue(quickFindUF.Connected(0, 1));
Assert.IsTrue(quickFindUF.Connected(2, 1));
Assert.IsTrue(quickFindUF.Connected(2, 0));
Assert.IsTrue(quickFindUF.Connected(5, 0));
Assert.IsTrue(quickFindUF.Connected(5, 1));
Assert.IsTrue(quickFindUF.Connected(5, 2));
Assert.AreEqual(7, quickFindUF.Count());
Assert.AreEqual(5, quickFindUF.Find(1));
Assert.AreEqual(5, quickFindUF.Find(0));
Assert.AreEqual(5, quickFindUF.Find(2));
Assert.AreEqual(5, quickFindUF.Find(5));
}
static void Compute()
{
var size = 200;
var quickFind = new QuickFindUF(size);
var quickUnion = new QuickUnionUF(size);
var weightedQuickUnion = new WeightedQuickUnionUF(size);
var connections = ErdosRenyi.Generate(size);
var quickFindResult = new int[size];
var quickUnionResult = new int[size];
var weightedQuickUnionResult = new int[size];
int p, q;
for (var i = 0; i < size; i++)
{
p = connections[i].P;
q = connections[i].Q;
quickFind.Union(p, q);
quickUnion.Union(p, q);
weightedQuickUnion.Union(p, q);
quickFindResult[i] = quickFind.ArrayVisitCount;
quickUnionResult[i] = quickUnion.ArrayVisitCount;
weightedQuickUnionResult[i] = weightedQuickUnion.ArrayParentVisitCount + weightedQuickUnion.ArraySizeVisitCount;
quickFind.ResetArrayCount();
quickUnion.ResetArrayCount();
weightedQuickUnion.ResetArrayCount();
}
Draw(quickFindResult, "Quick-Find");
Draw(quickUnionResult, "Quick-Union");
Draw(weightedQuickUnionResult, "Weighted Quick-Union");
}
public void A_big_test()
{
var uf = new QuickFindUF(10);
uf.Union(4, 3);
uf.Union(3, 8);
uf.Union(6, 5);
uf.Union(9, 4);
uf.Union(2, 1);
Assert.True(uf.IsConnected(8, 9));
Assert.False(uf.IsConnected(5, 0));
uf.Union(5, 0);
uf.Union(7, 2);
uf.Union(6, 1);
Assert.Equal(1, uf.Nodes[0]);
Assert.Equal(1, uf.Nodes[1]);
Assert.Equal(1, uf.Nodes[2]);
Assert.Equal(8, uf.Nodes[3]);
Assert.Equal(8, uf.Nodes[4]);
Assert.Equal(1, uf.Nodes[5]);
Assert.Equal(1, uf.Nodes[6]);
Assert.Equal(1, uf.Nodes[7]);
Assert.Equal(8, uf.Nodes[8]);
Assert.Equal(8, uf.Nodes[9]);
}
public void testFind()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
for (int i = 0; i < 10; i++)
{
Assert.AreEqual(i, quickFindUF.Find(i));
}
}
public void testUnionAndConnected_NewConnection()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
Assert.IsFalse(quickFindUF.Connected(0, 1));
Assert.AreEqual(10, quickFindUF.Count());
quickFindUF.Union(0, 1);
Assert.IsTrue(quickFindUF.Connected(0, 1));
Assert.AreEqual(9, quickFindUF.Count());
Assert.AreEqual(1, quickFindUF.Find(1));
Assert.AreEqual(1, quickFindUF.Find(0));
}
static void Main(string[] args)
{
var qu = new QuickFindUF(10);
var line = Console.ReadLine();
foreach (var par in line.Split(' '))
{
qu.union(int.Parse(par.Split('-')[0]), int.Parse(par.Split('-')[1]));
}
foreach (var _id in qu.id)
{
Console.Write(_id);
Console.Write(" ");
}
Console.ReadLine();
}
public static void Main()
{
QuickFindUF uf = new QuickFindUF(10);
uf.Union(0, 5);
Console.WriteLine("Connected(0,5) " + uf.Connected(0, 5));
Console.WriteLine("Connected(5,6) " + uf.Connected(5, 6));
uf.Union(5, 6);
uf.Union(1, 2);
uf.Union(2, 7);
uf.Union(3, 4);
uf.Union(4, 8);
uf.Union(8, 9);
Console.WriteLine("Connected(0,7) " + uf.Connected(0, 7));
Console.WriteLine("Connected(1,2) " + uf.Connected(1, 2));
Console.WriteLine("Connected(3,4) " + uf.Connected(3, 4));
Console.WriteLine("Connected(5,9) " + uf.Connected(5, 9));
Console.WriteLine("Connected(8,9) " + uf.Connected(8, 9));
}
public void Connect_4_with_3()
{
int from = 4;
int to = 3;
var uf = new QuickFindUF(10);
uf.Union(from, to);
for (int i = 0; i < uf.Length; i++)
{
if (i == from)
{
Assert.Equal(to, uf.Nodes[i]);
}
else
{
Assert.Equal(i, uf.Nodes[i]);
}
}
}
static void Main(string[] args)
{
//Quick-find
QuickFindUF grid = new QuickFindUF(10);
grid.Union(2, 3);
grid.Union(3, 6);
grid.Union(6, 5);
Console.WriteLine($"Does 2 and 5 connect? {grid.Connected(2, 5)}");
Console.WriteLine($"Does 6 and 1 connect? {grid.Connected(1, 6)}");
//Quick-union
QuickUnionUF quuf = new QuickUnionUF(10);
quuf.Union(2, 3);
quuf.Union(3, 6);
quuf.Union(6, 5);
Console.WriteLine($"Does 2 and 5 connect? {quuf.Connected(2, 5)}");
Console.WriteLine($"Does 6 and 1 connect? {quuf.Connected(1, 6)}");
Console.WriteLine(GreatestCommonDenominator.GetGCD(9, 0));
}
static void Main(string[] args)
{
var input = "9-0 3-4 5-8 7-2 2-1 5-7 0-3 4-2".Split(' ');
var quickFind = new QuickFindUF(10);
foreach (var s in input)
{
quickFind.ResetArrayCount();
var numbers = s.Split('-');
var p = int.Parse(numbers[0]);
var q = int.Parse(numbers[1]);
var id = quickFind.GetParent();
quickFind.Union(p, q);
foreach (var root in id)
{
Console.Write(root + " ");
}
Console.WriteLine("数组访问：" + quickFind.ArrayVisitCount);
}
}
static void Main(string[] args)
{
var n = 2000;
for (var t = 0; t < 5; t++)
{
var input = ErdosRenyi.Generate(n);
var quickFind = new QuickFindUF(n);
var quickUnion = new QuickUnionUF(n);
Console.WriteLine("N:" + n);
var quickFindTime = RunTest(quickFind, input);
var quickUnionTime = RunTest(quickUnion, input);
Console.WriteLine("quick-find 耗时（毫秒）：" + quickFindTime);
Console.WriteLine("quick-union 耗时（毫秒）：" + quickUnionTime);
Console.WriteLine("比值：" + (double)quickFindTime / quickUnionTime);
Console.WriteLine();
n *= 2;
}
}
static void Main(string[] args)
{
char[] split = { '\n', '\r' };
string[] input = TestCase.Properties.Resources.mediumUF.Split(split, StringSplitOptions.RemoveEmptyEntries);
int size = int.Parse(input[0]);
QuickFindUF quickFind = new QuickFindUF(size);
WeightedQuickFindUF weightedQuickFind = new WeightedQuickFindUF(size);
int p, q;
string[] pair;
for (int i = 1; i < size; i++)
{
pair = input[i].Split(' ');
p = int.Parse(pair[0]);
q = int.Parse(pair[1]);
quickFind.Union(p, q);
weightedQuickFind.Union(p, q);
}
Console.WriteLine("quick-find: " + quickFind.ArrayVisitCount);
Console.WriteLine("weighted quick-find: " + weightedQuickFind.ArrayVisitCount);
}
public static void Main(String[] args)
{
int n = Convert.ToInt32(Console.ReadLine());
QuickFindUF uf = new QuickFindUF(n);
string line;
while ((line = Console.ReadLine()) != null && line != "")
{
string[] a_temp = line.Split(' ');
int[] array = Array.ConvertAll(a_temp, Int32.Parse);
int p = array[0];
int q = array[1];
if (uf.Connected(p, q))
{
continue;
}
uf.Union(p, q);
Console.WriteLine(p + " " + q);
}
Console.WriteLine(uf.Count() + " components");
Console.ReadLine();
}
public void QuickFindTest()
{
var UF = new QuickFindUF(Algorithms.DynamicConnectivity.length);
Run(UF, Algorithms.DynamicConnectivity.commands);
}
public void testConnected_ParameterValidation_PLargerThanN()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Connected(11, 4);
}
public void testConnected_ParameterValidation_QLessThan0()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Connected(4, -1);
}
public void testUnion_ParameterValidation_QLargerThanN()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Union(4, 11);
}
public void testConnected_ParameterValidation_PEqualN()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Connected(10, 4);
}
public void testUnion_ParameterValidation_QLessThan0()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Union(4, -1);
}
public void testUnion_ParameterValidation_QEqualN()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Union(4, 10);
}
static void Main(string[] args)
{
var n = 40;
var t = 4;
// quick-find
Console.WriteLine("Quick-Find");
long last = 0;
long now = 0;
for (var i = 0; i < t; i++, n *= 2)
{
Console.WriteLine("N:" + n * n);
var connections = RandomGrid.GetConnections(n);
var quickFind = new QuickFindUF(n * n);
now = RunTest(quickFind, connections);
if (last == 0)
{
Console.WriteLine("平均用时（毫秒）：" + now);
last = now;
}
else
{
Console.WriteLine("平均用时（毫秒）：" + now + "\t比值：" + (double)now / last);
last = now;
}
}
// quick-union
Console.WriteLine("Quick-Union");
n = 40;
for (var i = 0; i < t; i++, n *= 2)
{
Console.WriteLine("N:" + n * n);
var connections = RandomGrid.GetConnections(n);
var quickFind = new QuickUnionUF(n * n);
now = RunTest(quickFind, connections);
if (last == 0)
{
Console.WriteLine("平均用时（毫秒）：" + now);
last = now;
}
else
{
Console.WriteLine("平均用时（毫秒）：" + now + "\t比值：" + (double)now / last);
last = now;
}
}
// 加权 quick-union
Console.WriteLine("Weighted Quick-Union");
n = 40;
for (var i = 0; i < t; i++, n *= 2)
{
Console.WriteLine("N:" + n * n);
var connections = RandomGrid.GetConnections(n);
var quickFind = new WeightedQuickUnionUF(n * n);
now = RunTest(quickFind, connections);
if (last == 0)
{
Console.WriteLine("平均用时（毫秒）：" + now);
last = now;
}
else
{
Console.WriteLine("平均用时（毫秒）：" + now + "\t比值：" + (double)now / last);
last = now;
}
}
}
public void TestInit()
{
var qf = new QuickFindUF(10);
Assert.AreEqual(10, qf.Count());
}
static void Main(string[] args)
{
long lastTimeQuickFind = 0;
long lastTimeQuickUnion = 0;
long lastTimeWeightedQuickUnion = 0;
long nowTime = 0;
for (int n = 2000; n < 100000; n *= 2)
{
Console.WriteLine("N:" + n);
QuickFindUF quickFindUF = new QuickFindUF(n);
QuickUnionUF quickUnionUF = new QuickUnionUF(n);
WeightedQuickUnionUF weightedQuickUnionUF = new WeightedQuickUnionUF(n);
// quick-find
Console.WriteLine("quick-find");
nowTime = RunTest(quickFindUF);
if (lastTimeQuickFind == 0)
{
Console.WriteLine("用时：" + nowTime);
lastTimeQuickFind = nowTime;
}
else
{
Console.WriteLine("用时：" + nowTime +
" 比值：" + (double)nowTime / lastTimeQuickFind);
lastTimeQuickFind = nowTime;
}
Console.WriteLine();
// quick-union
Console.WriteLine("quick-union");
nowTime = RunTest(quickUnionUF);
if (lastTimeQuickUnion == 0)
{
Console.WriteLine("用时：" + nowTime);
lastTimeQuickUnion = nowTime;
}
else
{
Console.WriteLine("用时：" + nowTime +
" 比值：" + (double)nowTime / lastTimeQuickUnion);
lastTimeQuickUnion = nowTime;
}
Console.WriteLine();
// weighted-quick-union
Console.WriteLine("weighted-quick-union");
nowTime = RunTest(weightedQuickUnionUF);
if (lastTimeWeightedQuickUnion == 0)
{
Console.WriteLine("用时：" + nowTime);
lastTimeWeightedQuickUnion = nowTime;
}
else
{
Console.WriteLine("用时：" + nowTime +
" 比值：" + (double)nowTime / lastTimeWeightedQuickUnion);
lastTimeWeightedQuickUnion = nowTime;
}
Console.WriteLine();
Console.WriteLine();
}
}
public void testFind_ParameterValidation_PLargerThanN()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Find(11);
}
public void testFind_ParameterValidation_PEqualN()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Find(10);
}
public void testFind_ParameterValidation_PLessThan0()
{
QuickFindUF quickFindUF = new QuickFindUF(10);
quickFindUF.Find(-1);
}
static void Main(string[] args)
{
// 查看 UnionFound 类库里面的相关类即可。
QuickFindUF quickFindUF = new QuickFindUF(100);
QuickUnionUF quickUnionUF = new QuickUnionUF(100);
}
