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javascript - How to draw a route between two markers in Google Maps API?

I have a requirement where, onclick, I have to draw a route in between two markers when I select. I have successfully uploaded a KML file on Google MAPS API, so the markers are clearly visible on Google MAPS API.

When I select a two markers onclick, there should be a route drawn between the selected markers. I was able to draw a static route between the two points but the line which was getting drawn was not following the route. Please guide. Also please find the code which I have tried. Thanks in advance.

<!DOCTYPE html>
<html>
<head>
<meta name="viewport" content="initial-scale=1.0, user-scalable=no">
<meta charset="utf-8">
<title>Transit layer</title>
<style>
html,body,#map-canvas {
    height: 100%;
    margin: 0px;
    padding: 0px
}
</style>
<link href="/maps/documentation/javascript/examples/default.css" rel="stylesheet"      type="text/css" />
<script type="text/javascript" src="http://maps.google.com/maps/api/js?sensor=false"></script>
<script type="text/javascript"   src="http://geoxml3.googlecode.com/svn/branches/polys/geoxml3.js"></script>
<script> function initialize() 
{   
    var myLatlng = new google.maps.LatLng(0, -180);   
    var mapOptions = 
        {     
            zoom: 13,     
            center: myLatlng,     
            mapTypeId: google.maps.MapTypeId.ROADMAP  
        }    

     var map = new google.maps.Map(document.getElementById('map-canvas'), mapOptions);    
     var transitLayer = new google.maps.TransitLayer();   
     transitLayer.setMap(map); 


    var geoXml = new geoXML3.parser({map: map, singleInfoWindow: true});
     geoXml.parse('kmload.kml'); 
     var geoXml1 = new geoXML3.parser({map: map, singleInfoWindow: true});
     geoXml1.parse('lines.kml'); 


     var coordinates = [     
                           new google.maps.LatLng(18.9800, 73.1000),     
                           new google.maps.LatLng(19.0361, 73.0617)];  

     google.maps.event.addListener(map, "click", function (e) 
      {  
                 var trainpath = new google.maps.Polyline({     
                 path: coordinates,    
                 geodesic: true,     
                 strokeColor: '#FF0000',     
                 strokeOpacity: 1.0,     
                 strokeWeight: 2   
                 });    
                trainpath.setMap(map);
      });



     }  
google.maps.event.addDomListener(window, 'load', initialize); 
    </script>
</head>
<body>
<div id="map-canvas"></div>
</body>
</html>
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example

add a custom "createMarker" function to geoxml3 which adds a function to the marker's click listener to trigger the directions service.

// global variables
var directions = {};
var directionsDisplay = new google.maps.DirectionsRenderer();
var directionsService = new google.maps.DirectionsService();

// geoxml3 configuration
var geoXml = new geoXML3.parser({
    map: map,
    createMarker: createMarker,
    singleInfoWindow: true
});

// handle the directions service
function processMarkerClick(latLng) {
    if (!directions.start) {
        directions.start = latLng;
    }
    else if (!directions.end) {
        directions.end = latLng;
        directionsService.route({
            origin:directions.start,
            destination: directions.end,
            travelMode: google.maps.TravelMode.DRIVING
        },
        function(result, status) {
            if (status == google.maps.DirectionsStatus.OK) {
                directionsDisplay.setDirections(result);
                directionsDisplay.setMap(map);

            }
            else {
                alert("Directions Request failed:" +status);
            }
            directions.start = null;
            directions.end = null;
        });
    }
}

// custom createMarker function to add hook for the directions service 
// (modified from the version in the geoxml3 source)
var createMarker = function (placemark, doc) {
    // create a Marker to the map from a placemark KML object

    // Load basic marker properties
    var markerOptions = geoXML3.combineOptions(geoXml.options.markerOptions, {
        map:      geoXml.options.map,
        position: new google.maps.LatLng(placemark.Point.coordinates[0].lat, placemark.Point.coordinates[0].lng),
        title:    placemark.name,
        zIndex:   Math.round(placemark.Point.coordinates[0].lat * -100000)<<5,
        icon:     placemark.style.icon,
        shadow:   placemark.style.shadow 
    });

    // Create the marker on the map
    var marker = new google.maps.Marker(markerOptions);
    if (!!doc) {
        doc.markers.push(marker);
    }

    // Set up and create the infowindow if it is not suppressed
    if (!geoXml.options.suppressInfoWindows) {
        var infoWindowOptions = geoXML3.combineOptions(geoXml.options.infoWindowOptions, {
            content: '<div class="geoxml3_infowindow"><h3>' +
                     placemark.name + 
                     '</h3><div>' + 
                     placemark.description + 
                     '</div></div>',
            pixelOffset: new google.maps.Size(0, 2)
        });

        if (geoXml.options.infoWindow) {
            marker.infoWindow = geoXml.options.infoWindow;
        }
        else {
            marker.infoWindow = new google.maps.InfoWindow(infoWindowOptions);
        }
        marker.infoWindowOptions = infoWindowOptions;

        // Infowindow-opening event handler
        google.maps.event.addListener(marker, 'click', function() {
            processMarkerClick(marker.getPosition());
            this.infoWindow.close();
            marker.infoWindow.setOptions(this.infoWindowOptions);
            this.infoWindow.open(this.map, this);
        });
    }
    placemark.marker = marker;
    return marker;
};

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