import edu.neu.ccs.*;
import edu.neu.ccs.gui.*;
import edu.neu.ccs.codec.*;
import edu.neu.ccs.console.*;
import edu.neu.ccs.filter.*;
import edu.neu.ccs.jpf.*;
import edu.neu.ccs.parser.*;
import edu.neu.ccs.pedagogy.*;
import edu.neu.ccs.quick.*;
import edu.neu.ccs.util.*;
import edu.neu.ccs.util.MathUtilities.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.geom.*;
import java.awt.font.*;
import java.awt.image.*;
import javax.swing.*;
import javax.swing.border.*;
import java.io.*;
import java.util.*;
import java.math.*;
import java.beans.*;
import java.lang.reflect.*;
import java.net.URL;
import java.util.regex.*;
import java.text.ParseException;
/*
Binomial Expansion
* B(n,k) = B(n,k-1) * (n-k+1) / k, for 0 < k <= n.
B(10,0) = 1
B(10,1) = 10
B(10,2) = 45
B(10,3) = 120
B(10,4) = 210
B(10,5) = 252
B(10,6) = 210
B(10,7) = 120
B(10,8) = 45
B(10,9) = 10
B(10,10) = 1
*/
public void Table(int x) {
if (x < 0) {
console.out.println("n must be positive");
return;
}
int a = 0;
XBigInteger b = new XBigInteger(1);
while (a <= x) {
console.out.println("B(" + x + "," + a + ") = " + b);
a++;
b.multiply(new XBigInteger(x-a+1));
b.divide(new XBigInteger(a));
}
console.out.println();
}
}