--- GridSpeedApplet.old.java	2004-03-01 20:23:34.000000000 -0700
+++ GridSpeedApplet.java	2004-03-01 20:11:31.000000000 -0700
@@ -17,25 +17,24 @@
   double total;
   double bttotal;
   double num, den;
-  double dt, btc, nbtc;
+  double dt, btc, btc1, btc2;
   int bt;
 
   public void init(int i){
     num = i+1; den = i+2;
     total = 1 + 2*num/den;
     bttotal = total;
-    bt=2;
     if(i > 0){
       btc=1;
       dt = 1/num + 1/den;
-      while(true){
-	if((nbtc = dt*(bt-1)+1/(double)bt) < btc){
-	  btc = nbtc;
-	  bt++;
-	  continue;
-	}else{
-	  break;
-	}
+      bt = (int)StrictMath.sqrt(num*(num - 1)/(2*num - 1));
+      btc1 = dt*(bt-1)+1/(double)bt;
+      btc2 = dt*bt+1/(double)(bt + 1);
+      if(btc2 < btc1){
+	bt++;
+	btc = btc2;
+      }else{
+	btc = btc1;
       }
       bttotal = total - (1 - btc);
     }
@@ -50,7 +49,7 @@
   }
 
   int backTrack(){
-    return bt-2;
+    return bt-1;
   }
 }