Data update

This commit is contained in:
Ingy döt Net 2024-03-06 22:25:12 -08:00
parent ed705008a8
commit 0df55f9f24
2196 changed files with 32999 additions and 3075 deletions

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using System;
public class MagicConstant {
private const int OrderFirstMagicSquare = 3;
public static void Main(string[] args) {
Console.WriteLine("The first 20 magic constants:");
for (int i = 1; i <= 20; i++) {
Console.Write(" " + MagicConstantValue(Order(i)));
}
Console.WriteLine("\n");
Console.WriteLine("The 1,000th magic constant: " + MagicConstantValue(Order(1_000)) + "\n");
Console.WriteLine("Order of the smallest magic square whose constant is greater than:");
for (int i = 1; i <= 20; i++) {
string powerOf10 = "10^" + i + ":";
Console.WriteLine($"{powerOf10,6}{MinimumOrder(i),8}");
}
}
// Return the magic constant for a magic square of the given order
private static int MagicConstantValue(int n) {
return n * (n * n + 1) / 2;
}
// Return the smallest order of a magic square such that its magic constant is greater than 10 to the given power
private static int MinimumOrder(int n) {
return (int)Math.Exp((Math.Log(2.0)+ n * Math.Log(10.0)) / 3) + 1;
}
// Return the order of the magic square at the given index
private static int Order(int index) {
return OrderFirstMagicSquare + index - 1;
}
}

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func a n .
n += 2
return n * (n * n + 1) / 2
.
func inva x .
while k * (k * k + 1) / 2 + 2 < x
k += 1
.
return k
.
write "The first 20 magic constants: "
for n to 20
write a n & " "
.
print ""
print ""
print "The 1,000th magic constant: " & a 1000
print ""
print "Smallest magic square with constant greater than:"
for e to 10
print "10^" & e & ": " & inva pow 10 e
.