/// <summary>
/// Reduces the specified snail number.
/// </summary>
/// <param name="number">The snail number to reduce.</param>
/// <returns>
/// The reduced snail number.
/// </returns>
internal static string Reduce(string number)
{
SnailPair pair = ParseRaw(number);
pair = pair.Reduce();
return(pair.ToString());
}
/// <summary>
/// Calculates the sum of the specified snail numbers.
/// </summary>
/// <param name="numbers">The snail numbers to sum.</param>
/// <returns>
/// The sum of the two snail numbers.
/// </returns>
internal static string SumValues(params string[] numbers)
{
List <SnailPair> pairs = ParseRaw(numbers);
SnailPair sum = pairs.Aggregate((x, y) => (x + y).Reduce());
return(sum.ToString());
}
private static List <SnailPair> ParseRaw(IList <string> numbers)
{
var pairs = new List <SnailPair>(numbers.Count);
foreach (string number in numbers)
{
SnailPair parsed = ParseRaw(number);
pairs.Add(parsed);
}
return(pairs);
}
/// <summary>
/// Calculates the sum of the specified snail numbers.
/// </summary>
/// <param name="numbers">The snail numbers to sum.</param>
/// <returns>
/// The magnitude of the sum of the snail numbers and the
/// largest magnitude of any two of the snail numbers.
/// </returns>
public static (int MagnitudeOfSum, int LargestSumMagnitude) Sum(IList <string> numbers)
{
List <SnailPair> pairs = ParseRaw(numbers);
SnailPair sum = pairs.Aggregate((x, y) => (x + y).Reduce());
var magnitudes = new List <int>(pairs.Count * pairs.Count * 2);
for (int i = 0; i < pairs.Count - 1; i++)
{
for (int j = 0; j < pairs.Count; j++)
{
SnailPair x = pairs[i];
SnailPair y = pairs[j];
magnitudes.Add((x + y).Reduce().Magnitude());
magnitudes.Add((y + x).Reduce().Magnitude());
}
}
return(sum.Magnitude(), magnitudes.Max());
}
/// <summary>
/// Gets the magnitude of the specified snail number.
/// </summary>
/// <param name="number">The snail number to get the magnitude of.</param>
/// <returns>
/// The magnitude of the snail number.
/// </returns>
internal static int Magnitude(string number)
{
SnailPair pair = ParseRaw(number);
return(pair.Magnitude());
}
