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Intendi una cosa del genere?

public class Classe1 {

	public void A() throws Exception {
		new Classe2().B();
	}

	public static void main(String[] args) {
		try {
			new Classe1().A();
		} catch (Exception e) {
			e.printStackTrace();
		}
	}
}

public class Classe2 {

	public void B() throws Exception {
		C();
	}

	public void C() throws Exception {
		new Classe3().D();
	}
}

public class Classe3 {
	public void D() throws Exception {
		throw new Exception();
	}
}