-extern void subAnimateElectrons(int);
-extern void subDrawAnimatedElectrons(int);
-extern void subDrawElectronFromAbove(int, int);
-extern void subDrawElectronFromBelow(int, int);
-extern void subDrawElectronFromLeft(int, int);
-extern void subDrawElectronFromRight(int, int);
-extern void subDrawElectronTurnLeft(int, int);
-extern void subDrawElectronTurnRight(int, int);
-extern void subElectronFromAbove(int, int);
-extern void subElectronFromBelow(int, int);
-extern void subElectronFromLeft(int, int);
-extern void subElectronFromRight(int, int);
-extern void subElectronTurnLeft(int, int);
-extern void subElectronTurnRight(int, int);
+void subAnimateElectrons(int);
+void subDrawAnimatedElectrons(int);
+void subDrawElectronFromAbove(int, int);
+void subDrawElectronFromBelow(int, int);
+void subDrawElectronFromLeft(int, int);
+void subDrawElectronFromRight(int, int);
+void subDrawElectronTurnLeft(int, int);
+void subDrawElectronTurnRight(int, int);
+void subElectronFromAbove(int, int);
+void subElectronFromBelow(int, int);
+void subElectronFromLeft(int, int);
+void subElectronFromRight(int, int);
+void subElectronTurnLeft(int, int);
+void subElectronTurnRight(int, int);