public static void Main()
{
var n = int.Parse(Console.ReadLine());
var s = Console.ReadLine().Trim();
var ts = s.Select(x => (long)x - 'a').ToArray();
var appearance = new long[26];
for (int i = 0; i < ts.Length; i++)
{
appearance[ts[i]]++;
}
var dp = new long[appearance.Length];
for (int i = 0; i < appearance.Length; i++)
{
for (int j = 0; j < dp.Length; j++)
{
if (i - j < 1)
{
break;
}
dp[i - j] += dp[i - j - 1] * appearance[i] % mod;
dp[i - j] %= mod;
}
dp[0] += appearance[i];
dp[0] %= mod;
}
var k = dp.Aggregate((x, y) => (x + y) % mod);
Console.WriteLine(k);
}
public void CorrectnessOfBigIntegerSum(int whichTestCase)
{
if (whichTestCase == 0)
{
var arrLong = new long[] { 5, 7, 16, Int64.MaxValue, 4, 2, 3, 0, 3 };
Assert.DoesNotThrow(() => arrLong.SumToBigIntegerFaster());
var result = new BigInteger();
result = arrLong.Aggregate(result, (current, i) => current + i);
Assert.AreEqual(arrLong.SumToBigIntegerFaster(), result);
}
}
public void TestPermute()
{
// Matrix transpose
var shape = new long[] { 45, 23 };
var totalSize = shape.Aggregate((a, l) => a * l);
var data = Enumerable.Range(1, (int)totalSize).Select(i => (float)i).ToArray();
var t1 = TensorUtils.Create(shape, data);
var t2 = TensorUtils.Create(shape, data);
t2 = t2.Permute(1, 0);
for (var i = 0; i < shape[0]; ++i)
{
for (var j = 0; j < shape[1]; ++j)
{
Assert.AreEqual(t1.GetElementAsFloat(i, j), t2.GetElementAsFloat(j, i));
}
}
Assert.AreEqual(t1.Sizes[0], shape[0]);
Assert.AreEqual(t1.Sizes[1], shape[1]);
Assert.AreEqual(t2.Sizes[0], shape[1]);
Assert.AreEqual(t2.Sizes[1], shape[0]);
// ND transpose
shape = new long[] { 600, 28, 37, 3 };
totalSize = shape.Aggregate((a, l) => a * l);
data = Enumerable.Range(1, (int)totalSize).Select(i => (float)i).ToArray();
t1 = TensorUtils.Create(shape, data);
t2 = t1.View(new long[] { shape[0], 1, shape[1], shape[2], shape[3] });
t2 = t2.Permute(new int[] { 4, 3, 2, 1, 0 });
for (var i = 0; i < shape[0]; ++i)
{
for (var j = 0; j < shape[1]; ++j)
{
for (var k = 0; k < shape[2]; ++k)
{
for (var l = 0; l < shape[3]; ++l)
{
Assert.AreEqual(t1.GetElementAsFloat(i, j, k, l), t2.GetElementAsFloat(l, k, j, 0, i));
}
}
}
}
}
static void Main(string[] args)
{
string[] input = File.ReadAllLines("input.txt");
long[] treeCounts = new long[]
{
CountTrees(1, 1, input),
CountTrees(3, 1, input),
CountTrees(5, 1, input),
CountTrees(7, 1, input),
CountTrees(1, 2, input),
};
Console.WriteLine(treeCounts.Aggregate((a, b) => a * b));
}
public override object Part2(string input)
{
var numbers = input.ToLines()
.Select(long.Parse)
.OrderByDescending(x => x)
.ToArray();
var parts = new long[3];
if (!SumN.Find(numbers, 2020, ref parts))
{
throw new Exception("Panic! Unable to solve");
}
return(parts.Aggregate((x, y) => x * y));
}
private int SizeOfObject(CUdeviceptr basePtr, IType type)
{
int rank;
if (ClrArrayType.TryGetArrayRank(type, out rank))
{
var dims = new long[rank];
Context.CopyToHost(dims, basePtr);
IType elementType;
ClrArrayType.TryGetArrayElementType(type, out elementType);
return(sizeof(long) * rank + dims.Aggregate(SizeOf(elementType), (x, y) => x * (int)y));
}
else
{
return(SizeOf(type));
}
}
static Tuple <long[], long> GetAnswer(int num)
{
int[] arr = new int[1000];
long[] arr2 = null;
for (int i = 0; i < BihNum.Length; i++)
{
arr[i] = int.Parse(BihNum[i].ToString());
}
List <long> numbers = new List <long>();
List <long[]> array = new List <long[]>();
for (int i = 0; i < arr.Length - num - 1; i++)
{
arr2 = new long[num];
for (int j = 0; j < num; j++)
{
arr2[j] = arr[i + j];
}
int index = ZeroIndex(arr2);
if (index == -1)
{
numbers.Add(arr2.Aggregate((x, y) => x * y));
array.Add(arr2);
}
else if (index != 0)
{
i = i + index - 1;
}
}
long max = numbers.Max();
int MaxIndex = numbers.IndexOf(max);
return(new Tuple <long[], long>(array[MaxIndex], max));
}
static void Main(string[] args)
{
var nums = System.IO.File.ReadLines("input/Euler008.txt")
.Where(line => !String.IsNullOrWhiteSpace(line))
.SelectMany(line => line.Select(c => long.Parse(c.ToString())))
.ToList();
long biggestProduct = 0;
var buffer = new long[target];
for (var idx = 0; idx < nums.Count(); idx++)
{
buffer[idx % target] = nums[idx];
long bufferSum = buffer.Aggregate((a, b) => a * b);
if (bufferSum > biggestProduct)
{
biggestProduct = bufferSum;
}
}
Console.WriteLine(biggestProduct);
}
/// <summary>
/// multiply the number of trees found on on the slopes
/// </summary>
/// <returns>Integer value</returns>
public long multiplySlopesOfTrees()
{
long[] total = new long[5];
//First Column means right position
//Second Column means down position
int[,] slopes =
{
{ 1, 1 },
{ 3, 1 },
{ 5, 1 },
{ 7, 1 },
{ 1, 2 }
};
for (int l = 0; l < slopes.GetLength(0); l++)
{
total[l] = this.GetNumberOfTrees(slopes[l, 0], slopes[l, 1]);
}
return(total.Aggregate((a, b) => a * b));
}
public static void A()
{
int testCases = int.Parse(Console.ReadLine());
for (int i = 0; i < testCases; i++)
{
var array = Console.ReadLine().Split(new char[] { ' ' }).Select(x => int.Parse(x)).ToArray();
var radiatorsAmount = array[0];
var sectionsAmount = array[1];
var costs = new long[radiatorsAmount > sectionsAmount ? sectionsAmount : radiatorsAmount];
int sum = 0;
while (sum < sectionsAmount)
{
for (int j = 0; j < costs.Length && sum < sectionsAmount; j++)
{
costs[j]++;
sum++;
}
}
var answer = costs.Aggregate(0L, (acc, x) => acc + x * x);
Console.WriteLine(answer);
}
}
public static long SolvePartTwo(string filePath)
{
string file = File.ReadAllText(filePath);
string[] lines = file.Split("\n");
int[] xStep = new int[] { 1, 3, 5, 7, 1 };
int[] yStep = new int[] { 1, 1, 1, 1, 2 };
long[] treeCount = new long[xStep.Length];
for (int i = 0; i < xStep.Length; i++)
{
int posX = 0;
int posY = 0;
while (posY < lines.Length - 1)
{
if (lines[posY][posX] == '#')
{
treeCount[i]++;
}
if (posX + xStep[i] >= lines[posY].Length)
{
posX = posX + xStep[i] - lines[posY].Length;
}
else
{
posX += xStep[i];
}
posY += yStep[i];
}
}
return(treeCount.Aggregate(Convert.ToInt64(1), (acc, val) => acc * val));
}
public static void Benchmark(String myExampleGraph,
Int32 myRuns,
Int32 myInnerRuns,
List <Action <IGraph, IVertex, Func <IVertex, bool> > > mySSSPAlgos,
bool myStore = false,
Func <IVertex, bool> myMatchingFunc = null,
Action <IGraph> myBeforeRunAction = null,
Action <IGraph> myAfterRunAction = null)
{
IGraph g = null;
var isGraphML = false;
#region init graph
g = InitGraph(myExampleGraph);
if (g == null)
{
return;
}
// hack :/
isGraphML = myExampleGraph.EndsWith(".xml");
Console.WriteLine("Graph successfully loaded .. |V|={0}, |E|={1}", g.VertexCount, g.EdgeCount);
#endregion
// store the single results
var runs = new long[mySSSPAlgos.Count, myRuns];
var innerRuns = new long[myInnerRuns];
var sw = new Stopwatch();
IVertex source = null;
for (int i = 0; i < myRuns; i++)
{
#region init source
source = GetRandomNode(g, isGraphML);
if (myBeforeRunAction != null)
{
myBeforeRunAction(g);
}
Console.WriteLine("SourceID={0}", source.UUID);
#endregion
#region bench
for (int j = 0; j < mySSSPAlgos.Count; j++)
{
for (int k = 0; k < myInnerRuns; k++)
{
#region before run init
if (myBeforeRunAction != null)
{
myBeforeRunAction(g);
}
#endregion
sw.Start();
mySSSPAlgos[j](g, source, myMatchingFunc);
sw.Stop();
innerRuns[k] = sw.ElapsedMilliseconds;
sw.Reset();
#region after run action
if (myAfterRunAction != null)
{
myAfterRunAction(g);
}
#endregion
}
runs[j, i] = innerRuns.Aggregate((a, b) => a + b) / myInnerRuns;
Console.WriteLine("Algorithm {0} took {1} ms (avg of {2} runs)", j, runs[j, i], myInnerRuns);
}
#endregion
}
#region calc avg time
var res = CalculateResult(runs, mySSSPAlgos.Count, myRuns);
if (myStore)
{
StoreResults(g, res, myExampleGraph);
}
#endregion
}
public static void Benchmark(String myExampleGraph,
Int32 myRuns,
Int32 myInnerRuns,
List <Func <IGraph, IVertex, IVertex, Func <IVertex, bool>, List <IVertex> > > myBFSAlgos,
bool myStore = false,
Func <IVertex, bool> myMatchingFunc = null,
Action <IGraph> myBeforeRunAction = null,
Action <IGraph> myAfterRunAction = null)
{
IGraph g = null;
var isGraphML = false;
#region init graph
g = InitGraph(myExampleGraph);
if (g == null)
{
return;
}
// hack :/
isGraphML = myExampleGraph.EndsWith(".xml");
Console.WriteLine("Graph successfully loaded .. |V|={0}, |E|={1}", g.VertexCount, g.EdgeCount);
#endregion
#region runs
// store the single results
var runs = new long[myBFSAlgos.Count, myRuns];
var innerRuns = new long[myInnerRuns];
var sw = new Stopwatch();
var sum = 0L;
IVertex source = null;
IVertex target = null;
List <IVertex> path = null;
List <IVertex> path2 = null;
for (int i = 0; i < myRuns; i++)
{
#region init source and target
while (path == null)
{
source = GetRandomNode(g, isGraphML);
target = GetRandomNode(g, isGraphML);
if (myBeforeRunAction != null)
{
myBeforeRunAction(g);
}
path = myBFSAlgos[0](g, source, target, myMatchingFunc);
if (path == null)
{
Console.WriteLine("random source and target are not connected, trying new ones");
}
}
Console.WriteLine("got a working path from {0} to {1} with length {2}...starting benchmark", source.UUID, target.UUID, path.Count);
// k, got a connected source and target
#endregion
#region bench
for (int j = 0; j < myBFSAlgos.Count; j++)
{
for (int k = 0; k < myInnerRuns; k++)
{
#region before run init
if (myBeforeRunAction != null)
{
myBeforeRunAction(g);
}
#endregion
sw.Start();
path2 = myBFSAlgos[j](g, source, target, myMatchingFunc);
path2.LongCount();
sw.Stop();
innerRuns[k] = sw.ElapsedMilliseconds;
sw.Reset();
#region after run action
if (myAfterRunAction != null)
{
myAfterRunAction(g);
}
#endregion
}
runs[j, i] = innerRuns.Aggregate((a, b) => a + b) / myInnerRuns;
Console.WriteLine("Algorithm {0} took {1} ms (avg of {2} runs)", j, runs[j, i], myInnerRuns);
}
#endregion
path = null;
}
#region calc avg time
var res = CalculateResult(runs, myBFSAlgos.Count, myRuns);
#endregion
#endregion
}