想知道错误原因

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<html>
  <head>
<meta charset="utf-8">
<title>省市联动</title>
<style>

</style>
<script type="text/javascript">
 var arr=["中国","美国","日本"];
 arr["中国"]=["北京","上海","陕西"];
 arr["美国"]=["纽约","华盛顿","旧金山"];
 arr["日本"]=["东京","大阪","神户"];
 
 arr["北京"]=["朝阳区","海定区","丰台区"];
 arr["上海"]=["浦东区","金山区","浦西区"];
 arr["陕西"]=["西安市","延安市","榆林市"];
 
 arr["纽约"]=["曼哈顿","布鲁克林","皇后区"];
 arr["华盛顿"]=["哥伦比亚","白宫","国会大厦"];
 arr["旧金山"]=["唐人街","金门大桥","渔人码头"];
 
 arr["东京"]=["东京塔","浅草寺","东京迪士尼"];
 arr["大阪"]=["大阪城","环球影视","心斋桥"];
 arr["神户"]=["神户港","有马温泉","六甲山"];
  
  function init(){
  //添加国家
 addArr(arr,"country");
 addArr(arr[arr[0]],"province");
 addArr(arr[arr[arr[0]][0]],"area");
 function addArr(arr,id){
document.getElementById(id).options.length=0;
for(var i=0;i<arr.length;i++){

 //var option=new Option();
// option.text=arr[i];
 //option.value=arr[i];
 
 var option=new Option(arr[i],arr[i]);
 document.getElementById(id).options.add(option);
 }
 }
 
 function changePro(coun){
addArr(arr[coun],"province");
addArr(arr[coun][0],"area");
 }
 function changeArea(pro){
addArr(arr[pro],"area");
 }
 
  }
  </script>
  </head>
  <body onload="init()">
  国家: <select id="country"  onchange="changePro(this.value)"></select>
  省市: <select id="province"  onchange="changeArea(this.value)"></select>
  地区: <select id="area"></select>
  
  </body>
</html>