internal static string Combinatoric_selections()
{
string f1 = "";
string f2 = "";
string f3 = "";
string sum = "";
string divide = "";
int count = 0;
for (int n = 23; n <= 100; n++)
{
for (int r = 1; r < n; r++)
{
f1 = MathProblemsLibrary.LargeDigitsDestroyer.Faktorial(n);
f2 = MathProblemsLibrary.LargeDigitsDestroyer.Faktorial(r);
f3 = MathProblemsLibrary.LargeDigitsDestroyer.Faktorial(n - r);
sum = MathProblemsLibrary.LargeDigitsDestroyer.Multiplication_Two_Huge_Digits(f2, f3);
divide = MathProblemsLibrary.LargeDigitsDestroyer.Divide_Two_Huge_Digits(f1, sum);
if (CheckDigit(divide, "1000000"))
{
MathsProblemsForm.Log(n.ToString() + " " + r.ToString() + " = " + divide);
count++;
}
}
}
return(count.ToString());
}
private void RunTest(DecisionProblemMethod method)
{
if (method == null)
{
return;
}
this.ResultTextBox.Clear();
var task = new Task(() => {
MathsProblemsForm.Log("========================Start=======================");
MathsProblemsForm.Log(method.ToString());
var watch = System.Diagnostics.Stopwatch.StartNew();
var res = method();
watch.Stop();
string elapsedTime = String.Format("{0:00}:{1:00}:{2:00}.{3:00}",
watch.Elapsed.Hours, watch.Elapsed.Minutes, watch.Elapsed.Seconds,
watch.Elapsed.Milliseconds / 10);
MathsProblemsForm.Log("========================Finnish=====================");
MathsProblemsForm.Log("Result:");
MathsProblemsForm.Log(res);
MathsProblemsForm.Log("");
MathsProblemsForm.Log("Time: ");
MathsProblemsForm.Log(elapsedTime);
MathsProblemsForm.Log("========================Finnish=====================");
});
task.Start();
}
internal static string Prime_digit_replacements_old()
{
List <Int64> primes = MathProblemsLibrary.Primes.GetBelov(999999);
List <string> primesStr = new List <string>();
foreach (var prime in primes)
{
primesStr.Add(prime.ToString());
}
List <string> result = new List <string>();
Dictionary <int, List <string> > listMask = CreateMaskList();
List <string> checkMaskList = new List <string>();
int i = 0;
foreach (var primeStr in primesStr)
{
List <string> masks = listMask[primeStr.Length];
foreach (var mask in masks)
{
result = BuildList(mask, primesStr, i, primeStr, result);
if (result.Count >= 8)
{
foreach (var val in result)
{
MathsProblemsForm.Log(val.ToString());
}
return(result[0].ToString());
}
}
i++;
}
return("");
}
internal static string Consecutive_prime_sum()
{
List <Int64> primeList = MathProblemsLibrary.Primes.GetBelov(1000000);
Dictionary <Int64, Int64> resValList = new Dictionary <Int64, Int64> {
};
Int64 maxVal = 0;
Int64 val = 0;
for (int i = 2; i < primeList.Count; i++)
{
int k = i;
while (k >= 0)
{
k--;
Int64 sum = 0;
int count = 0;
for (int j = k; j >= 0; j--)
{
sum += primeList[j];
count++;
if (sum >= primeList[i])
{
break;
}
}
if (sum == primeList[i] && count > maxVal)
{
val = primeList[i];
maxVal = count;
MathsProblemsForm.Log(val.ToString() + " " + maxVal.ToString());
}
}
}
return(val.ToString());
}
internal static string Largest_prime_factor()
{
var primes = Divisors.GetPrimeListOfDivisors(n);
foreach (var prime in primes)
{
MathsProblemsForm.Log(prime.ToString());
}
var maxPrime = primes[primes.Count - 1];
return(maxPrime.ToString());
}
internal static string Digit_cancelling_fractions()
{
List <int> digits = new List <int> {
};
int result = 0;
int res = 0;
int res2 = 0;
int newNum = 0;
int newDenum = 0;
int prodnewNum = 1;
int prodnewDenum = 1;
for (int i = 10; i < 100; i++)
{
digits.Add(i);
}
for (int i = 0; i < digits.Count; i++)
{
for (int j = i + 1; j < digits.Count; j++)
{
if ((digits[j] % 10 != 0 && digits[i] % 10 != 0) &&
(Check_numerator_and_denominator(digits[i], digits[j])))
{
string numStr = digits[i].ToString();
string denumStr = digits[j].ToString();
for (int k = 0; k < numStr.Length; k++)
{
if (numStr.IndexOf(denumStr[k]) >= 0)
{
newNum = int.Parse(numStr.Remove(numStr.IndexOf(denumStr[k]), 1));
newDenum = int.Parse(denumStr.Remove(denumStr.IndexOf(denumStr[k]), 1));
}
}
res = digits[j] / digits[i];
res2 = newDenum / newNum;
if ((digits[i] % newNum == 0 && digits[i] / newNum * newDenum == digits[j] && digits[j] / digits[i] == newDenum / newNum && digits[j] / digits[i] != 1 && newDenum / newNum != 1) ||
(res == res2 && digits[j] % digits[i] == 0 && newDenum % newNum == 0))
{
prodnewNum = prodnewNum * digits[i];
prodnewDenum = prodnewDenum * digits[j];
MathsProblemsForm.Log(digits[i].ToString() + " / " + digits[j].ToString() + " = " + res.ToString() +
" " + newNum.ToString() + " / " + newDenum.ToString() + " = " + res2.ToString());
}
}
}
}
result = prodnewDenum / prodnewNum;
return(result.ToString());
}
internal static string Circular_primes()
{
List <Int64> primeList = MathProblemsLibrary.Primes.GetBelov(maxVal);
int count = 0;
for (int i = 0; i < primeList.Count; i++)
{
if (Val_in_list(primeList[i], primeList))
{
MathsProblemsForm.Log(primeList[i].ToString());
count++;
}
}
return(count.ToString());
}
internal static string Truncatable_primes()
{
List <Int64> primeList = MathProblemsLibrary.Primes.GetBelov(maxVal);
Int64 sum = 0;
for (int i = 4; i < primeList.Count; i++)
{
if (Val_In_List_Start(primeList[i], primeList) && Val_In_List_End(primeList[i], primeList))
{
MathsProblemsForm.Log("Val =" + primeList[i].ToString());
sum += primeList[i];
}
}
return(sum.ToString());
}
internal static string Reciprocal_cycles()
{
int digit = 10;
int reultMax = 0;
string resultStr = "";
string strDigit = "";
for (int i = 2; i < d; i++)
{
strDigit = LargeDigitsDestroyer.DivisionOfNatural(digit, i);
MathsProblemsForm.Log(i.ToString() + "\t" + strDigit);
if (strDigit.Length > reultMax)
{
reultMax = strDigit.Length;
resultStr = strDigit;
}
}
return(resultStr);
}
internal static string Prime_permutations()
{
var primeList = MathProblemsLibrary.Primes.GetBelov(10000);
var reListPrime = new List <Int64> {
};
var reList = new List <long> {
};
var resultList = new List <long> {
};
string re = "";
for (int i = 0; i < primeList.Count; i++)
{
if (primeList[i] > 999)
{
reListPrime.Add(primeList[i]);
}
}
for (int i = 0; i < reListPrime.Count; i++)
{
reList.Clear();
reList.Add(reListPrime[i]);
for (int j = i + 1; j < reListPrime.Count; j++)
{
if (Check_permutatiom(reListPrime[i].ToString(), reListPrime[j].ToString()))
{
reList.Add(reListPrime[j]);
reListPrime.Remove(reListPrime[j]);
}
}
resultList = Check_Sum(reList);
if (resultList.Count >= 3)
{
for (int r = 0; r < resultList.Count; r++)
{
re += resultList[r].ToString();
}
MathsProblemsForm.Log(re);
}
re = "";
}
return("");
}
internal static string Lychrel_numbers()
{
int result = 0;
for (int i = 1; i < 10000; i++)
{
string summ = "12";
int count = 0;
string val1 = i.ToString();
while (!IsPalindrom(summ))
{
string val2 = "";
List <char> vl2 = new List <char>();
foreach (var val in val1)
{
vl2.Insert(0, val);
}
foreach (var value in vl2)
{
val2 += value;
}
summ = MathProblemsLibrary.LargeDigitsDestroyer.Summ_Two_Huge_Digits(val1, val2);
count++;
//MathsProblemsForm.Log(val1 + "+" + val2 + "==" + summ);
if (count == 50)
{
break;
}
val1 = summ;
}
if (count == 50)
{
result++;
MathsProblemsForm.Log(i.ToString() + "(" + count.ToString() + ")");
}
}
return(result.ToString());
}
internal static string Numbers_Summ(Int64 value)
{
Int64 digits = 0;
Int64 digitsTemp = 0;
Int64 sum = 0;
string strTemp = "1";
string strResult = "";
for (int j = 0; j < value; j++)
{
for (int i = strTemp.Length - 1; i >= 0; i--)
{
digits = CharToInt(strTemp[i]);
digitsTemp = digits + value + sum;
if (digitsTemp >= 10)
{
digits = digitsTemp % 10;
sum = (digitsTemp - (digitsTemp % 10)) / 10;
strResult = digits.ToString() + strResult;
}
else
{
sum = 0;
strResult = digitsTemp.ToString() + strResult;
}
}
if (digitsTemp >= 10)
{
sum = (digitsTemp - digits) / 10;
strResult = sum + strResult;
}
sum = 0;
strTemp = strResult;
MathsProblemsForm.Log(strResult);
strResult = "";
}
return(strTemp);
}
internal static string Triangular_pentagonal_and_hexagonal()
{
Int64 trian = 0;
Int64 penta = 0;
Int64 hexag = 0;
Int64 tempj = 1;
Int64 tempk = 1;
int resultCount = 0;
for (Int64 i = 285; trian < Int64.MaxValue / 2; i++)
{
trian = (i * (i + 1)) / 2;
for (Int64 j = tempj; penta <= trian; j++)
{
penta = (j * (3 * j - 1)) / 2;
if (trian == penta)
{
for (Int64 k = tempk; hexag <= trian; k++)
{
hexag = k * (2 * k - 1);
if (hexag == trian)
{
resultCount++;
MathsProblemsForm.Log(trian.ToString() + " " + i.ToString() + " " + j.ToString() + " " + k.ToString());
if (resultCount == 2)
{
return(trian.ToString());
}
}
tempk = k;
}
}
tempj = j;
}
}
return("");
}
internal static string Pentagon_numbers()
{
int pent = 0;
List <int> pentList = new List <int> {
};
int minVal = 10000000;
int didifference = 0;
int sum = 0;
for (int i = 1; i < 10000; i++)
{
pent = i * (3 * i - 1) / 2;
if (pent > 0)
{
pentList.Add(pent);
}
}
for (int j = 0; j < pentList.Count; j++)
{
for (int k = j + 1; k < pentList.Count; k++)
{
sum = pentList[k] + pentList[j];
didifference = pentList[k] - pentList[j];
if (Is_Pentagon(didifference, pentList) && Is_Pentagon(sum, pentList))
{
if (didifference < minVal)
{
MathsProblemsForm.Log(pentList[k].ToString() + " " + pentList[j].ToString() + " " + didifference.ToString());
minVal = didifference;
return(minVal.ToString());
}
}
}
}
return(minVal.ToString());
}
internal static string Sub_string_divisibility()
{
List <Int64> valList = new List <Int64> {
1, 2, 3, 4, 5, 6, 7, 8, 9, 0
};
Int64 res = 0;
string strDigit = "";
List <Int64> listPandigital = new List <Int64> {
};
listPandigital = Build_Pandigital_Digits(valList.Count, valList);
for (int i = 0; i < listPandigital.Count; i++)
{
strDigit = listPandigital[i].ToString();
if (MathProblemsLibrary.OthertFuncktion.Check_Pandigital_products(strDigit, 10) &&
Check_property(strDigit))
{
res += listPandigital[i];
MathsProblemsForm.Log(listPandigital[i].ToString());
}
}
return(res.ToString());
}
internal static string Distinct_primes_factors2()
{
var listPrimes = MathProblemsLibrary.Primes.GetBelov(1000000);
var divList = new List <Int64> {
};
var reList = new List <Int64> {
};
var dictResult = new Dictionary <Int64, bool> {
};
int tempRe = 1;
for (Int64 i = 2; i < 1000000; i++)
{
divList = GetDivisors(i);
reList.Clear();
if (divList.Count == 4)
{
foreach (var div in divList)
{
if ((listPrimes.IndexOf(div) >= 0 || Check_Degree(div) != 0) && reList.IndexOf(div) < 0)
{
reList.Add(div);
}
}
if (reList.Count == 4)
{
MathsProblemsForm.Log(i.ToString());
dictResult.Add(i, true);
if (dictResult.ContainsKey(i - 1))
{
tempRe += 1;
if (tempRe == 4)
{
return((i - 3).ToString());
}
}
else
{
tempRe = 1;
}
}
}
//divList = MathProblemsLibrary.Divisors.GetList(i,false);
//listPrimes = MathProblemsLibrary.Primes.GetBelov(i);
//reList.Clear();
//foreach (var div in divList)
//{
// if (listPrimes.IndexOf(div) >= 0)
// reList.Add(div);
// else
// {
// Int64 temp = Check_Degree(div);
// if (temp > 0 && reList.IndexOf(temp) < 0)
// reList.Add(div);
// }
//}
//sumary = 1;
//foreach (var rel in reList)
//{
// sumary = sumary * rel;
//}
//if ((reList.Count == 4) && (sumary == i))
//{
// //string str = i.ToString() + " = ";
// //foreach (var rl in reList)
// //{
// // str += rl.ToString() + " x ";
// //}
// //MathsProblemsForm.Log(str);
// dictResult.Add(i, true);
// if (dictResult.ContainsKey(i - 1))
// {
// MathsProblemsForm.Log(i.ToString());
// tempRe += 1;
// if (tempRe == 4)
// return (i - 3).ToString();
// }
// else
// tempRe = 1;
//}
////var reList = new List<Int64> { };
////for (int j = 0; j < divList.Count; j++)
////{
//// if (reList.IndexOf(divList[j]) < 0)
//// {
//// reList.Add(divList[j]);
//// }
////}
////if (reList.Count != 4)
////{
//// string str = i.ToString() + "= ";
//// foreach (var rl in reList)
//// {
//// str += rl.ToString() + "x";
//// }
//// MathsProblemsForm.Log(str);
//// dictResult.Add(i, true);
//// if (dictResult.ContainsKey(i - 1))
//// {
//// tempRe += 1;
//// if (tempRe == 4)
//// return i.ToString();
//// }
//// else
//// tempRe = 1;
////}
}
return("");
}
public MathsProblemsForm()
{
InitializeComponent();
form = this;
}