public List <Step> Solve(string raw, Expression e)
{
sequence = Utils.Sequences.ParseSequence(raw);
Expression seconddifference = Utils.Sequences.GetDifference(Utils.Sequences.GetDifference(sequence)).Last();
List <List <Expression> > branches = new List <List <Expression> >();
branches.Add(sequence);
branches.Add(Utils.Sequences.GetDifference(sequence));
branches.Add(Utils.Sequences.GetDifference(Utils.Sequences.GetDifference(sequence)));
StepData.BranchData bd = new StepData.BranchData(branches);
steps.Add(new Step(seconddifference, "get the second difference (" + Infix.Print(seconddifference) + ")", new StepData.BranchData(branches)));
t_n = t_n * t_n;
steps.Add(new Step(t_n, "must be n^2 in quadratic sequence", t_n));
t_n = t_n * ((seconddifference / 2));
steps.Add(new Step(t_n, "Half the second difference and multiply n^2 with it", t_n));
// Console.WriteLine(Infix.Print(FindOffset(1)));
t_n += FindOffset(1);
steps.Add(new Step(FindOffset(1), "work out the offset with our current expression and the given sequence", FindOffset(1)));
steps.Add(new Step(t_n, "add the offset to our expression", t_n));
int na = 1;
StringBuilder sb = new StringBuilder();
while (na != 10)
{
sb.Append(Infix.Print(Utils.Sequences.GetValueInSequence(t_n, t_n, na)) + ", ");
na++;
}
steps.Add(new Step(null, "Double check: " + sb.ToString()));
steps.Add(new Step(t_n, "final answer", t_n));
return(steps);
}
public Branch(StepData.BranchData data)
{
InitializeComponent();
branches = data.branches;
Font = data.gd.font;
ForeColor = data.gd.fore;
BackColor = data.gd.back;
}