Navigation problem in JSF2.0

From: <webtier_at_javadesktop.org>
Date: Sat, 06 Mar 2010 03:23:59 PST

I am using TOMCAT6.0.24 on windows vista
here is my Bean

package com.htc.javaee.jsfs2;

import com.htc.javaee.utils.UsersMap;
import javax.faces.model.ManagedBean;

@ManagedBean(name="logBean",eager=true,scope="request")
public class LoginBean {

        private String username;
        private String password;

    //getters & setters

        public LoginBean() {
          System.out.println("LogBean initialized");
        }


        public String authorize() {
          UsersMap map = new UsersMap();

          if(map.validateUser(username,password)) {
           System.out.println("input");
            return ("input");
          }
          else {
           System.out.println("login");
           return ("login");
          }
        }
}

i have input.xhtml in my doc-root

my login.xhtml is
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml"

    xmlns:h="http://java.sun.com/jsf/html"
    xmlns:f="http://java.sun.com/jsf/core" >

<h:body>
   <div align="center">
   <h1> Welcome to JSF2.0 Login Page</h1>
   <h:form>
   <table>
    <tr>
    <td>Username:</td>
    <td><h:inputText value="#{logBean.username}" /></td>
    </tr>
    <tr>
    <td>Password:</td>
    <td><h:inputSecret value="#{logBean.password}" /></td>
    </tr>
    </table>
    <hr/>
    <h:commandButton value="validate"
       action="#{logBean.authorize}" />
   </h:form>
   </div>
</h:body>
</html>

[u]web.xml[/u]
<?xml version="1.0" encoding="UTF-8"?>
<web-app xmlns="http://java.sun.com/xml/ns/javaee"
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
xsi:schemaLocation=
"http://java.sun.com/xml/ns/javaee http://java.sun.com/xml/ns/javaee/web-app_2_5.xsd" version="2.5">

    <context-param>
      <param-name>javax.faces.PROJECT_STAGE</param-name>
      <param-value>Development</param-value>
    </context-param>

    <context-param>
       <param-name>com.sun.faces.expressionFactory</param-name>
       <param-value>com.sun.el.ExpressionFactoryImpl</param-value>
    </context-param>


    <context-param>
      <param-name>com.sun.faces.annotationScanPackages</param-name>
      <param-value>*</param-value>
    </context-param>

    <context-param>
        <param-name>javax.faces.DEFAULT_SUFFIX</param-name>
        <param-value>.xhtml</param-value>
    </context-param>
        <servlet>
                <servlet-name>Faces Servlet</servlet-name>
                <servlet-class>javax.faces.webapp.FacesServlet</servlet-class>
                <load-on-startup>1</load-on-startup>
        </servlet>
        <servlet-mapping>
                <servlet-name>Faces Servlet</servlet-name>
                <url-pattern>*.jsf</url-pattern>
        </servlet-mapping>

      <welcome-file-list>
       <welcome-file>index.html</welcome-file>
      </welcome-file-list>

</web-app>

navigation is not taking place conventionally unless i give <navigation-rule>
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