how to add values one by one in an array
This question already has an answer here:
You can try this
     <html>
      <head>
         <script src="http://ajax.googleapis.com/ajax/libs/jquery/1.11.1/jquery.min.js"></script>
         <script>
          var arr=new Array;
          //unique object variable
          var trackObject = {};
          function reply_click(obj){
              var id = [obj.id];
                //check value is not duplicated 
                 if(!trackObject.hasOwnProperty(id)){
                    trackObject[id] = 1;
                    for(i=1;i<=id;i++){
                      arr.push(i);
                    }
                 }
                console.log(arr);
          } 
          $(document).ready(function(){
              $(".btn").click(function(){
                var myvalues=$(this).val();
                //check value is not duplicated
                 if(!trackObject.hasOwnProperty(myvalues)){
                    trackObject[myvalues] = 1;
                    arr.push(myvalues);
                  }
                  console.log(arr);
              });
          });
          // attach the .equals method to Array's prototype to call it on any array
      Array.prototype.equals = function (array) {
          // if the other array is a falsy value, return
          if (!array)
              return false;
          // compare lengths - can save a lot of time 
          if (this.length != array.length)
              return false;
          for (var i = 0, l=this.length; i < l; i++) {
              // Check if we have nested arrays
              if (this[i] instanceof Array && array[i] instanceof Array) {
                  // recurse into the nested arrays
                  if (!this[i].equals(array[i]))
                      return false;       
              }           
              else if (this[i] != array[i]) { 
                  return false;   
              }           
          }       
          return true;
      }  
      function compare(){
        result=arr.equals([1, 1, 2, 1, 2, 3, "tahirahassan", "sobia"]);
        alert(result);
      }
          </script>
          </head>
          <body >
              <p>Click on this paragraph.</p>
            <button id="1" onClick="reply_click(this)">1</button>
          <button id="2" onClick="reply_click(this)">2</button>
           <button id="3" onClick="reply_click(this)">3</button>
        <button id="tahira" name="btn1" class="btn" value="tahirahassan" >hi tahira</button>
       <button id="sobia" name="btn2" class="btn" value="sobia" >hi sobia</button>
         <form action="testingjquery.php" method="post">
          <input type="submit" id="btn1" class="btn111" name="val1" value=" i am tahira"/>
          <input type="submit" id="btn2" class="btn112" name="val1" value="hassan" />
        </form>
        <button id="compare" onClick="compare()">compare</button>
      </body>
      </html>
there is some useful link for you push-array and unique-value
 Use Array.prototype.push() method to add a new value at the end of the array.  It will also return the new length.  
 cars.push(myvalues, "myvaluesv", "Toyota") for your example.  You can push any datatype into an array.  
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