ProjectEuler/question15.cs

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C#
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using System.CodeDom.Compiler;
using System.Numerics;
using System.Security.Cryptography.X509Certificates;
namespace projectEuler {
//
class question15 {
question15(){
}
public static BigInteger Solve(int x, int y){
List<List<BigInteger>> grid = new List<List<BigInteger>>();
//initialize grid
for(int width = 0; width < x; width++){
grid.Add(new List<BigInteger>());
string row = "";
for(int height = 0; height < y; height++){
grid[width].Add(0);
row += " 0";
}
Console.WriteLine(row);
}
grid[0][0] = 1;
for(int width = 0; width < x; width++) {
string row = "";
for(int height = 0; height < x ; height++){
if(grid[width][height] == 1){
continue;
}
BigInteger top = 0;
BigInteger left = 0;
if(width - 1 >= 0)
{
left = grid[width-1][height];
}
if(height - 1 >= 0){
top = grid[width][height-1];
}
if(top == 0 || left == 0) {
row += " 1";
grid[width][height] = 1;
} else {
row += " " + (top + left).ToString();
grid[width][height] = top + left;
}
}
Console.WriteLine(row);
}
return grid[x-1][y-1];
}
}
}