如何获取input输入的值打开指定链接，同时使回车触发？

<input type="text" id="input" />
<a class="bt-search" id="button"></a>  

<script>
$("document").ready(function(){
    $("#button").click(function(){
        $val = $("#input").val();
        $url = window.location.href;
        window.location.href = 'https://xxx/search/' + $val;
    })
    
    $("#input").keydown(function(event){
    if(event.which == "13"){
        $val = $("#input").val();
        $url = window.location.href;
        window.location.href = 'https://xxx/search/' + $val;
    }
})
    
</script>


###解决方法！！