public void TestMethod6()
{
//2 1 1 1
//3 1 1 2
//2 2 1 1
LinkedList <Note> list = new LinkedList <Note>();
Note note = new Note {
Position = 2, Length = 1, Speed = 1, Score = 1
};
list.AddLast(note);
note = new Note {
Position = 3, Length = 1, Speed = 1, Score = 2
};
list.AddLast(note);
note = new Note {
Position = 2, Length = 2, Speed = 1, Score = 1
};
list.AddLast(note);
var result = NoteProblem.Solve(list.ToArray());
Assert.IsTrue(result == 2);
}
public void TestMethod7()
{
//18 2 2 5
//1 2 1 1
//16 10 2 3
//8 10 2 4
//27 6 3 5
LinkedList <Note> list = new LinkedList <Note>();
Note note = new Note {
Position = 18, Length = 2, Speed = 2, Score = 5
};
list.AddLast(note);
note = new Note {
Position = 1, Length = 2, Speed = 1, Score = 1
};
list.AddLast(note);
note = new Note {
Position = 16, Length = 10, Speed = 2, Score = 3
};
list.AddLast(note);
note = new Note {
Position = 8, Length = 10, Speed = 2, Score = 4
};
list.AddLast(note);
note = new Note {
Position = 27, Length = 6, Speed = 3, Score = 5
};
list.AddLast(note);
var result = NoteProblem.Solve(list.ToArray());
Assert.IsTrue(result == 6);
}
/// <summary>
/// Explanation :
/// The NoteProblem class is the main class.
/// The idea is a dynamic programming solution .
/// If we sort the notes by the time1(that is the start arriving time ) we could see this problem
/// like Note1 Note2 ---- NoteN and we want to obtain the MaximumScore from Note1 to the Final
/// If We see this problem like having the set Note1 Note2 --- NoteN it could be the problem
/// of MaximumScore from Note_i to the final with i = 1
/// The we have a generic problem MaximumScore(i) .
/// The MaximumScore(i) = MaximumValue( MaximumScore(selecting(Note_i)), MaximumScore(NotSelecting(Note_i));
/// MaximumScore(selecting(Note_i)) = NoteValue_i.Score + MaximumScore(j) with j the first index Note of all the Notes that are not intersecting
/// with Note_i
/// MaximumScore(NotSelecting(Note_i) = MaximumScore(i+1)
/// This algorithm is O(N*log(N)) foreach case
/// The Total is O(C*O(N*log(N)))
/// </summary>
/// <param name="args"></param>
public static void Main(string[] args)
{
try
{
int C = int.Parse(Console.ReadLine());
for (int i = 1; i <= C; i++)
{
try
{
int N = int.Parse(Console.ReadLine());
LinkedList <Note> notes = new LinkedList <Note>();
for (int j = 0; j < N; j++)
{
string[] stringParts = Console.ReadLine().Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries);
int X = int.Parse(stringParts[0]);
int L = int.Parse(stringParts[1]);
int S = int.Parse(stringParts[2]);
int P = int.Parse(stringParts[3]);
notes.AddLast(new Note {
Position = X, Length = L, Speed = S, Score = P
});
}
int result = NoteProblem.Solve(notes.ToArray());
string prefixString = "Case #" + i + ": ";
Console.WriteLine(prefixString + result);
}
catch (Exception exception)
{
Console.WriteLine("Case #" + i + ": ");
Console.WriteLine(exception);
}
}
}
catch (Exception exception)
{
Console.WriteLine(exception);
}
}