How to delete a webpart using client object model

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using Microsoft.SharePoint;
using Microsoft.SharePoint.Client;
using Microsoft.SharePoint.Client.WebParts;


namespace ClientObjectModel
{
class Program
{
static void Main(string[] args)
{
//How to delete a webpart using client object model

ClientContext context = new ClientContext("http://serverName:1111");
File file = context.Web.GetFileByServerRelativeUrl("/Shared%20Documents/Forms/AllItems.aspx");
LimitedWebPartManager wpm = file.GetLimitedWebPartManager(PersonalizationScope.Shared);
context.Load(wpm.WebParts,
wps => wps.Include(
wp => wp.WebPart.Title));
context.ExecuteQuery();
foreach (WebPartDefinition wpd in wpm.WebParts)
{
WebPart wp = wpd.WebPart;
if (wp.Title == "My Updated Webpart title")
{
wpd.DeleteWebPart();
context.ExecuteQuery();
}
}
}
}
}