public string GetAnswer()
{
long[,] matrix = S81.GetMatrix();
long[,] sums = new long[dim, dim];
for (int i = 0; i < dim; i++)
{
sums[i, 0] = matrix[i, 0];
}
for (int j = 1; j < dim; j++)
{
// from column j-1 to column j
for (int i = 0; i < dim; i++)
{
// consider row i
long min = long.MaxValue;
for (int k = 0; k < dim; k++)
{
long temp = sums[k, j - 1] + matrix[i, j];
int begin;
int end;
if (k < i)
{
begin = k + 1;
end = i;
}
else
{
begin = i;
end = k - 1;
}
for (int index = begin; index <= end; index++)
{
temp += matrix[index, j - 1];
}
if (temp < min)
{
min = temp;
}
}
sums[i, j] = min;
}
}
var lastColumn = new List <long>();
for (int i = 0; i < dim; i++)
{
lastColumn.Add(sums[i, dim - 1]);
}
return(lastColumn.Min().ToString());
}
public string GetAnswer()
{
long[,] matrix = S81.GetMatrix();
long[,] sum = new long[dim, dim];
for (int i = 0; i < dim; i++)
{
for (int j = 0; j < dim; j++)
{
sum[i, j] = int.MaxValue;
}
}
sum[0, 0] = matrix[0, 0];
var pointsToBeUpdated = new Queue <Tuple <int, int> >();
pointsToBeUpdated.Enqueue(new Tuple <int, int>(0, 0));
while (pointsToBeUpdated.Count != 0)
{
var point = pointsToBeUpdated.Dequeue();
if (CanMoveToLeft(point))
{
long newValue = sum[point.Item1, point.Item2] + matrix[point.Item1 - 1, point.Item2];
if (newValue < sum[point.Item1 - 1, point.Item2])
{
sum[point.Item1 - 1, point.Item2] = newValue;
pointsToBeUpdated.Enqueue(new Tuple <int, int>(point.Item1 - 1, point.Item2));
}
}
if (CanMoveToRight(point))
{
long newValue = sum[point.Item1, point.Item2] + matrix[point.Item1 + 1, point.Item2];
if (newValue < sum[point.Item1 + 1, point.Item2])
{
sum[point.Item1 + 1, point.Item2] = newValue;
pointsToBeUpdated.Enqueue(new Tuple <int, int>(point.Item1 + 1, point.Item2));
}
}
if (CanUp(point))
{
long newValue = sum[point.Item1, point.Item2] + matrix[point.Item1, point.Item2 - 1];
if (newValue < sum[point.Item1, point.Item2 - 1])
{
sum[point.Item1, point.Item2 - 1] = newValue;
pointsToBeUpdated.Enqueue(new Tuple <int, int>(point.Item1, point.Item2 - 1));
}
}
if (CanDown(point))
{
long newValue = sum[point.Item1, point.Item2] + matrix[point.Item1, point.Item2 + 1];
if (newValue < sum[point.Item1, point.Item2 + 1])
{
sum[point.Item1, point.Item2 + 1] = newValue;
pointsToBeUpdated.Enqueue(new Tuple <int, int>(point.Item1, point.Item2 + 1));
}
}
}
return(sum[dim - 1, dim - 1].ToString());
}