void solve(int n, int m)
{
var binom = new BinomialCoefficient(n + m + 5);
var dp = new ModInt[n + 3, m + 3];
dp[0, 0] = 1;
for (int i = 0; i <= n; i++)
{
for (int j = 0; j <= m; j++)
{
if (j > 0)
{
dp[i + 1, j] += j * dp[i, j];
}
dp[i, j + 1] += dp[i, j];
}
}
ModInt ans = 0;
for (int i = 0; i <= n; i++)
{
var v = dp[i, m];
v *= binom[n + m, i + m];
v *= binom.fact[n - i];
ans += v;
}
ans *= binom.fact[m] * binom.fact[m];
ans *= binom.fact[n];
Console.WriteLine(ans);
}
void solve()
{
int N = cin.nextint;
var F = new ModInt[N + 1]; //??
F[0] = 1;
for (int i = 1; i <= N; i++)
{
F[i] = F[i - 1] * i;
}
var ncr = new BinomialCoefficient(N);
var OMEGA = new ModInt[N]; //?????????
for (int i = 1; i < N; i++)
{
OMEGA[i] = OMEGA[i - 1] + F[N - i - 1] * ncr[N, N - i - 1] * F[i];
//WriteLine(" " + F[N - i - 1] * ncr[N, N - i - 1] + " " + OMEGA[i]);
}
var A = cin.scanlong;
ModInt ans = 0;
for (int i = 0; i < N; i++)
{
ans += F[N] * A[i];
//WriteLine(i + " " + (OMEGA[N - i - 1] + OMEGA[i]));
ans += OMEGA[N - i - 1] * A[i];
ans += OMEGA[i] * A[i];
}
WriteLine(ans);
}
public static void TeoremCalculateThrowsException(int n, int k)
{
// Arrange
// Act
// Assert
_ = Assert.Throws <ArgumentException>(() => BinomialCoefficient.Calculate(n, k));
}
public static void CalculateFromPairs(int n, int k, long expected)
{
// Arrange
// Act
var result = BinomialCoefficient.Calculate(n, k);
// Assert
Assert.AreEqual(expected, result);
}
void solve()
{
int N = cin.nextint;
int K = cin.nextint;
var ncr = new BinomialCoefficient(N + K);
if (K < N)
{
WriteLine(ncr[N + K - 1, K]);
}
else
{
WriteLine(ncr[N, K % N]);
}
}
void solve()
{
int N = cin.nextint;
var G = new SortedDictionary <int, int>();
for (int i = 0; i < N; i++)
{
int t = cin.nextint;
if (G.ContainsKey(t))
{
G[t]++;
}
else
{
G[t] = 1;
}
}
var B = new BinomialCoefficient(N);
ModInt ans = 1;
long sum = 0;
long time = 0;
foreach (var item in G)
{
for (int i = 0; i < item.Value; i++)
{
time += item.Key;
sum += time;
}
ans *= B.fact[item.Value];
}
WriteLine(sum);
WriteLine(ans);
}
public void Solve()
{
var n = ri;
var m = ri;
var sz = Enumerate(n, x => 1 << x);
var all = sz.Sum();
var dp = new ModInt[1 << n];
dp[0] = 1;
var comb = new BinomialCoefficient(all + 50);
foreach (var x in Enumerate(m, x => ri).OrderByDescending(x => x))
{
var next = new ModInt[1 << n];
for (int i = 0; i < 1 << n; i++)
{
var cnt = all - x + 2;
for (int j = 0; j < n; j++)
{
if ((i >> j & 1) == 1)
{
cnt -= sz[j];
}
}
next[i] += dp[i];
for (int j = 0; j < n; j++)
{
if ((i >> j & 1) == 1)
{
continue;
}
if (cnt < sz[j])
{
continue;
}
next[i | 1 << j] += dp[i] * comb[cnt - 1, sz[j] - 1] * comb.fact[sz[j]];
}
}
dp = next;
}
Debug.WriteLine(dp.AsJoinedString());
ModInt ans = 0;
for (int i = 0; i < 1 << n; i++)
{
var cnt = n;
var rem = 0;
for (int j = 0; j < n; j++)
{
if ((i >> j & 1) == 0)
{
rem += sz[j]; cnt--;
}
}
dp[i] *= comb.fact[rem];
Debug.WriteLine(dp[i]);
ans += (cnt % 2 == 0) ? dp[i] : ModInt.Mod - dp[i].num;
}
ans *= ModInt.Pow(2, n);
Console.WriteLine(ans);
}
//Binomial Coefficient
//Catalan value = C(2n, n)/n+1
public static long GetNumberWithBinomialCoefficient(int n)
{
return(BinomialCoefficient.BinominalCoefficient(2 * n, n) / (n + 1));
}
static void Main(string[] args)
{
// StringProblems
//Test calls for Reverse string
string input = "jacob";
Console.WriteLine(input + "<=>" + new string(SimpleProblem.ReverseString(input.ToCharArray())));
input = "jake";
Console.WriteLine(input + "<=>" + new string(SimpleProblem.ReverseString(input.ToCharArray())));
input = "";
Console.WriteLine(input + "<=>" + new string(SimpleProblem.ReverseString(input.ToCharArray())));
input = "jdshjdh@#$%^&)";
Console.WriteLine(input + "<=>" + new string(SimpleProblem.ReverseString(input.ToCharArray())));
ReplaceSpaces.TestReplaceSpacesInplace();
Anagrams.TestIsAnagramAlgo();
StringRotation.TestIsThisRotatedString();
RemoveDuplicates.TestRemoveDuplicatesFromString();
StringToLongConverter.TestStringToLong();
RegexMatching.TestMatch();
SumOfTwoNumbersInArray.TestSumOfTwoNumbersInArray();
SumOfThreeNumbersInArray.TestSumOfThreeNumbersInArray();
PairInSortedArrayClosestToAParticularValue.TestPairInSortedArrayClosestToAParticularValue();
PalindromeInStringPermutation.TestPalindromeInStringPermutation();
EditDistanceBetweenStrings.TestEditDistanceBetweenStrings();
AnagramIsPalindrome.TestAnagramIsPalindrome();
GreatestPalindrome.TestGreatestPalindrome();
ReverseStringWithoutVowels.TestReverseStringWithoutVowels();
LongestSubstringWithKDistinctChars.TestLongestSubstringWithKDistinctChars();
// Pattern Matching
NativePatternMatching.TestNativePatternMatching();
KMPPatternMatching.TestKMPPatternMatching();
BoyerMoorePatternMatching.TestPatternMatching();
RabinKarp.TestRabinKarp();
//Console.ReadLine();
//Array Problems
ArrayOfNumsIncrement.TestIncrementArrayOfNumbers();
MajorityElement.TestFindMajorityElement();
Merge2SortedArrays.TestMergeSortedArrays();
MaxDistanceInArray.TestMaxDistanceInArray();
MovingAverage.TestMovingAverage();
TotalAverage.TestTotalAverage();
ArrayWithGreaterElementToRight.TestArrayWithGreaterElementToRight();
WaterCollectedInPuddleShownByHistogram.TestWaterCollectedInPuddleShownByHistogram();
CountOfPairsWhichSumUpToGivenSum.TestCountOfPairsWhichSumUpToGivenSum();
//Median.TestGetMedianOf2SortedArray();
// Sorting Problems
SelectionSort.TestSorting();
BubbleSort.TestSorting();
InsertionSort.TestSorting();
ShellSort.TestSorting();
MergeSort.TestMergeSort();
QuickSort.TestQuickSort();
HeapSortTester.TestHeapSort();
CountingSort.TestSorting();
RadixSort.TestRadixSort();
DutchNationalFlag.TestDutchNationalFlag();
SortedSquares.TestSortedSquares();
// Matrix Problem
Rotate_Matrix_90_degree.TestRotateMatrix();
Matrix_Column_Rows_0.TestMakeRowColZero1();
Matrix_Column_Rows_0.TestMakeRowColZero2();
RotateMatrix180.TestRotateMatrix180();
SumOfMatrixElementsFormedByRectangleWithCoordinates.TestSumOfMatrixElements();
SortedArrayFromSortedMatrix.TestSortedArrayFromSortedMatrix();
SearchWordInMatrix.TestSearchWordInMatrix();
MaxOnesInRow.TestMaxOnesInRow();
MatrixAsTriangle.TestMatrixAsTriangle();
MinRangeInMatrix.TestMinRangeInMatrix();
PrintMatrixAsSnake.TestPrintMatrixAsSnake();
PrintMatrixInSpiral.TestPrintMatrixInSpiral();
MaxSqAreaInBinaryMatrix.TestMaxRectAreaInBinaryMatrix();
TicTacToeWinner.TestTicTacToeWinner();
WaterfallCreation.TestWaterfallCreation();
// Linked list Problems
DeleteLinkedListNode.TestDeleteFirstNode();
DeleteDuplicatesFromLinkedList.TestDeleteDuplicates();
NthLastElementOfLinkedList.TestNthLastNodeOfLinkedList();
DeleteNodeWithDirectReference.TestDeleteNode();
AddNumbers.TestAddNumbersRepresentedByLinkedList();
CopyLinkedListWithRandomNode.TestGetCopiedLinkedListWithRandomNode();
CommonElementInTwoLinkedList.TestCommonElement();
ReverseAdjacentNodesInLinkedList.TestReverseAdjacentNodes();
MergeSortedLinkedList.TestMerge();
CycleInLinkedList.TestStartOfCycleInLinkedList();
MedianForCircularLinkedList.TestGetMedian();
ReverseLinkedList.TestReverseLinkedList();
SortedCircularLinkedList.TestCircularLinkedList();
// stack and queue problem
ThreeStackWithOneArray.TestThreeStackWithOneArray();
StackWithMinElement.TestStackWithMinElement();
StackOfPlates.TestStackOfPlates();
SortAStack.TestSortAStackAscending();
WellFormedExpression.TestWellFormedExpression();
QueueVia2Stack.TestQueueVia2Stack();
LRUCache.TestLRUCache();
EvaluatePrefixNotation.TestGetPrefixNotationResult();
EvaluateInflixNotation.TestGetInflixNotationResults();
EvaluatePostfixNotation.TestGetPostfixNotationResult();
TestCircularQueue.TestCircularQueueWithDifferentCases();
LargestAreaInHistogram.TestLargestAreaInHistogram();
TextEditerWithUndo.TestTextEditerWithUndo();
//Recursion Problem
TowerOfHanoi.TestTowerOfHanoi();
MaxSumOfConsecutiveNums.TestMaxSumOfConsecutiveNums();
// Back tracking problems
Sudoku.TestSudokuSolver();
HamiltonianCycle.TestHamiltonianCycle();
GraphColoringWithMColors.TestGraphColoringWithMColors();
MakeLargestIsland.TestMakeLargestIsland();
//Misc Problem
MinNumOfCoins.TestMinNumOfCoins();
IsPrime.TestCheckPrime();
SquareRoot.TestCalculateSquareRoot();
CreditCardCheck.TestLuhnAlgo();
ExcelFirstRowConversion.TestCovertExcelColumnToLong();
Skyline.TestSkyline();
SumOfSquaresWithoutMultiplication.TestSumOfSquares();
MergeIntervals.TestMergeIntervals();
WidthOfCalendar.TestWidthOfCalendar();
JosephusProblem.TestJosephusProblem();
// Permutation and Combination problem
ShuffleAList.TestFisherYatesAlgo();
CombinationsOfBinaryString.TestCombinationsOfBinaryString();
AllCombinationsOfString.TestAllCombinationsOfString();
AllPermutationsOfString.TestAllPermutationsOfString();
PhoneNumberToWords.TestPhoneNumberToWords();
AllNumbersInRangeWithDifferentDigits.TestAllNumbersInRangeWithDifferentDigits();
DivideSetIntoTwoEqualSetsWithMinSumDiff.TestDivideSetIntoTwoEqualSetsWithMinSumDiff();
PowerSet.TestPowerSet();
AllCombinationsOfParenthesis.TestAllCombinationsOfParenthesis();
GoodDiceRoll.TestGoodDiceRoll();
PermutationsOfValidTime.TestPermutationsOfValidTime();
// Tree Problems
TreeFromExpression.TestCreateTreeFromExpression();
TestBinarySearchTree.TestDifferentOperationsOnBST();
AncestorOfTwoNodesInBST.TestAncestorOfTwoNodesInBST();
CheckBTisBST.TestCheckBTisBST();
MaxSumOnTreeBranch.TestMaxSum();
WalkTheTree.TestWalkTheTree();
SkewedBSTToCompleteBST.TestConvertSkewedBSTToCompleteBST();
CheckIfTheTreeIsBalanced.TestIsTreeBalanced();
LinkedListOfTreeNodesAtEachDepth.TestCreateLinkedListOfTreeNodesAtEachDepth();
PrintBinaryTreeNodeAtEachLevel.TestPrintBinaryTreeNodeAtEachLevel();
PrintBinaryTreeNodeAtEachLevelSpirally.TestPrintBinaryTreeNodeAtEachLevelSpirally();
TreeSubtreeOfAnother.TestMatchTree();
AncestorOfTwoNodesInBT.TestGetAncestorOfTwoNodesInBT();
AncestorOfMultiNodesInBT.TestAncestorOfMultiNodesInBT();
LinkedListFromLeavesOfBT.TestLinkedListFromLeavesOfBT();
ExteriorOfBT.TestPrintExteriorOfBT();
DepthOfTree.TestGetDepthOfTree();
TreeToColumns.TestTreeToColumns();
KthSmallestElementFromBST.TestKthSmallestElementFromBST();
MakeBSTFromPreOrder.TestMakeBSTFromPreOrder();
MirrorATree.TestMirrorATree();
CloneABTWithRandPointer.TestCloneABTWithRandPointer();
TreeWithInorderAndPreorder.TestTreeWithInorderAndPreorder();
TreeWithInorderAndPostorder.TestTreeWithInorderAndPostorder();
TreePathSumsToValue.TestTreePathSumsToValue();
AllPathInNArayTree.TestAllPathInNArayTree();
SerializeDeserializeBinaryTree.TestSerializeDeserializeBinaryTree();
SerializeDeserializeAnNaryTree.TestSerializeDeserializeAnNaryTree();
AncestorOfTwoNodesInNaryTree.TestAncestorOfTwoNodesInNaryTree();
AbsOfMaxAndSecondMaxDepthInBT.TestGetAbsOfMaxAndSecondMaxDepthInBT();
// Trie problems
CreateAndSearchSimpleTrie.TestCreateAndSearchSimpleTrie();
// ToDo: have a problem of suffix trees
ShortestPrefix.TestGetShortestPrefixNotPresentInStringSet();
// Dynamic Programming problems
LongestCommonSubsequence.TestGetLongestCommonSubsequence();
LongestPalindromeSubString.TestGetLongestPalindromeSubString();
LongestPalindromicSubsequence.TestGetLongestPalindromicSubsequence();
MaximumAs.TestGetMaximumAs();
MinNumberOfJumps.TestGetMinimumNumberOfJumps();
LongestCommonSubString.TestGetLongestCommonSubString();
KnapSackProblem.TestGetTheMaximumValueWithLimitedWeight();
TreeCuttingProblem.TestGetTreeCuttingToMaximizeProfits();
WordBreaking.TestBreakTheWords();
DistanceOfWords.TestDistanceOfWords();
LongestIncreasingSubSequence.TestLongestIncreasingSubSequence();
MinCostPath.TestMinCostPath();
DifferentWaysForCoinChange.TestDifferentWaysForCoinChange();
MatrixMultiplication.TestMatrixMultiplication();
BinomialCoefficient.TestBinomialCoefficient();
BoxStacking.TestBoxStacking();
WordWrapping.TestWordWrapping();
MaxSubMatrixWithAllOnes.TestMaxSubMatrixWithAllOnes();
LongestSubStringWithEqualSum.TestLongestSubStringWithEqualSum();
PartitionArrayIntoEqualSumSets.TestPartitionArrayIntoEqualSumSets();
MaxSumRectangle.TestMaxSumRectangle();
RegularExpressionMatch.TestRegularExpressionMatch();
NumRepresentedByPerfectSquares.TestNumRepresentedByPerfectSquares();
LongestCommonSubsequenceInSameString.TestLongestCommonSubsequenceInSameString();
StringDecodeAsAlphabets.TestStringDecodeAsAlphabets();
BalloonBursting.TestBalloonBursting();
TravellingSalesmanProblem.TestTravellingSalesmanProblem();
MaxSumWithoutAdjacentElements.TestMaxSumWithoutAdjacentElements();
MaxPathThroughMatrix.TestMaxPathThroughMatrix();
BrickLaying.TestBrickLaying();
JobSchedullingWithConstraints.TestJobSchedullingWithConstraints();
EggDropMinTrials.TestEggDropMinTrials();
// Graph Problems
ShortestPath.TestGetShortestPathBetween2Vertex();
CycleInDirectedGraph.TestIsCycleInDirectedGraph();
CycleInUnDirectedGraph.TestIsCycleInUnDirectedGraph();
SolveAMaze.TestSolveAMaze();
AllPathsGivenStartEndVertex.TestGetAllPathsInGraphFromStartVertexToEndVertex();
AllPaths.TestGetAllPathsInGraphFromStartVertex();
ColorVertices.TestColorVerticesWithDifferentColor();
CheckBipartiteGraph.TestCheckBipartiteGraph();
TransformOneWordToAnother.TestGetTransformation();
ConstraintsVerification.TestConstraintsVerification();
ExtendedContactsInSocialNetwork.TestComputeExtendedContacts();
CourseScheduling.TestCourseScheduling();
SnakeAndLadder.TestSnakeAndLadder();
IsGraphATree.TestIsGraphATree();
ReverseGraph.TestReverseGraph();
StronglyConnectedGraph.TestStronglyConnectedGraph();
ConnectedComponents.TestConnectedComponents();
ContinentalDivide.TestContinentalDivide();
CloneGraph.TestCloneGraph();
Wordament.TestWordament();
// ShortestPathAlgo
FloydWarshall.TestFloydWarshall();
DijkstraAlgorithm.TestDijkstraAlgorithm();
BellmanFord.TestBellmanFord();
TravelFromLeftToRightInMatrix.TestTravelFromLeftToRightInMatrix();
HeuristicSearch.TestHeuristicSearch();
AStar.TestAStar();
ShortestPathWhenObstaclesRemoved.TestShortestPathWhenObstaclesRemoved();
ShortestDistanceFromRoomsToGates.TestShortestDistanceFromRoomsToGates();
//MaxFlow
FordFulkersonEdmondKarp.TestFordFulkersonEdmondKarp();
MinCut.TestMinCut();
MaximumBipartiteMatching.TestMaximumBipartiteMatching();
//Minimum Spanning Tree
KruskalAlgorithm.TestKruskalAlgorithm();
PrimsAlgorithm.TestPrimsAlgorithm();
//Heap problems
BasicMaxHeap.TestMaxHeap();
BasicMinHeap.TestMinHeap();
TestMinHeapMap.DoTest();
TestPriorityQueue.Run();
MedianForAStreamOfNumbers.TestMedianForAStreamOfNumbers();
//DisjointSets
TestingDisjointSet.Run();
//TestWeightedDisjointSetsWithPathCompression.Run(); // this runs slow, hence commenting it
//Geometry
ClosestPairOfPoints.TestClosestPairOfPoints();
RectangleIntersection.TestRectangleIntersection();
LineSegmentIntersection.TestLineSegmentIntersection();
ConvexHull.TestConvexHull();
KClosestPointToOrigin.TestKClosestPointToOrigin();
//Greedy Algorithm
HuffmanCoding.TestHuffmanCoding();
//Randomized Algorithm
RandomGeneration.TestRandomGeneration();
// Bit Algorithms
IntHaveOppositeSigns.TestIntHaveOppositeSigns();
Parity.TestParity();
//Math Problem
ZerosInFactorial.TestZerosInFactorial();
GetAllPrimeFactors.TestGetAllPrimeFactors();
NumberOfFactors.TestNumberOfFactors();
AllFactors.TestAllFactors();
MultiplyLongNumbers.TestMultiplyLongNumbers();
NextLargestPermutation.TestNextLargestPermutation();
AllPrimesTillN.TestAllPrimesTillN();
PascalsTriangle.TestPascalsTriangle();
SubtractLongNumbers.TestSubtractLongNumbers();
//Search problems
SearchInSortedRotatedArray.TestSearchInSortedRotatedArray();
KClosestElementInArray.TestKClosestElementInArray();
SearchInSortedMatrix.TestSearchInSortedMatrix();
BinarySearchUnbounded.TestBinarySearchUnbounded();
LinkedListSublistSearch.TestLinkedListSublistSearch();
NoOfOccuranceInSortedArray.TestNoOfOccuranceInSortedArray();
GetSmallestInSortedRotatedArray.TestGetSmallestInSortedRotatedArray();
//Distributed algorithms
KWayMerge.TestKWayMerge();
Console.ReadLine();
}
private float basisFunction(int i, float time)
{
int n = model.ControlPoints.Count - 1;
return(BinomialCoefficient.С(n, i) * Mathf.Pow(time, i) * Mathf.Pow(1 - time, n - i));
}
