Change non-multi option in Multi question to Radio button

Challenge

Normally, all options in Multi question are displayed as check boxes. This task is to change options which are non-multi selections to radio buttons instead of check boxes.

Example

Script

<source lang="javascript"> function checkboxClick(radioPos) {

  $("input[type='radio']").each(
     function(j){
        if(this.checked)
        {
           this.checked = false;
           quest.options[radioPos[j]].checked = false;
        }
  });

}

function radioClick(pos, radioPos) {

     $("input[type='radio']").each(function(j){
        if(pos!=j)
        {
           this.checked = false;
           quest.options[radioPos[j]].checked = false;
        }
        else
        {  
           this.checked = true;
           quest.options[radioPos[pos]].checked = true;
        }
     });
     $("input[type='checkbox']").each(
        function(j){
           if(this.checked)
           {
              this.checked = false;
              quest.options[j].checked = false;
           }
     });
     quest.options[radioPos[pos]].checked = true;
     $("input[type='checkbox']")[radioPos[pos]].checked = true;

}

function position(arr, element) {

  var i=0;
  for(i=0;i<arr.length;i++)
     if(arr[i]==element)   
        return i;
  return -1;

}

quest.onInit = function() {

  var i;
  var j;
  var x= quest.options.length;
  var radioPos = new Array();
  // change input to 
  $("input[type='checkbox']").each(
     function(i)
     {
        if(quest.options[i].single==true)
        {
           radioPos.push(i);
           var radio = $("<input type='radio'>").attr("name","radioPos" + i);
           $(this).parent().append(radio);
           if(quest.options[i].checked)      
              $(radio).attr("checked",true);   
           $(this).hide();
        }
     }
  
  );

  $("input[type='checkbox']").each(
     function(i)
     {
        $(this).click(function(){
           checkboxClick(radioPos);
        });
     }
  
  );
  
  $("input[type='radio']").each(
     function(i)
     {
        $(this).click(function(){
           
           radioClick(i,radioPos);
        }
        );
     }
     );
     
  $(".option_link").each(
     function(i)
     {
        $(this).click(function(){
           
           if(position(radioPos,i)>=0)
           {
              $("input[type='radio']").each(
              function(j){
                 if(position(radioPos,i)!=j)
                 {
                    this.checked = false;
                 }
                 else
                 {
                    this.checked = true;
                 }
              });
    
           }
           else
           {
               $("input[type='radio']").each(
                 function(j)
                 {
                    this.checked = false;
                 });
           }
        });
     }
  );

} </source>