/**** 
* Classes
****/
var Dot = Container.expand(function () {
	var self = Container.call(this);
	self.handleCollisions = function () {
		var items = dots;
		for (var i = 0; i < items.length; i++) {
			if (items[i] !== self) {
				var dx = items[i].x - self.x;
				var dy = items[i].y - self.y;
				var distance = Math.sqrt(dx * dx + dy * dy);
				if (distance < self.width / 2 + items[i].width / 2) {
					// Pre-calculate the bounce effect
					var angle = Math.atan2(dy, dx);
					var force = 0.5;
					var cosAngle = Math.cos(angle);
					var sinAngle = Math.sin(angle);
					self.velocity.x -= force * cosAngle;
					self.velocity.y -= force * sinAngle;
					items[i].velocity.x += force * cosAngle;
					items[i].velocity.y += force * sinAngle;
					// Pre-calculate the overlap adjustment
					var overlap = self.width / 2 + items[i].width / 2 - distance;
					var adjustX = overlap * cosAngle;
					var adjustY = overlap * sinAngle;
					self.x += adjustX;
					self.y += adjustY;
					items[i].x -= adjustX;
					items[i].y -= adjustY;
				}
			}
		}
	};
	var dotGraphics = self.attachAsset('whiteDot', {
		anchorX: 0.5,
		anchorY: 0.5
	});
	self.velocity = {
		x: 0,
		y: 0
	};
	self.mass = 1; // Assuming a unit mass for realistic physics simulation
	self.applyForce = function (force) {
		self.velocity.x += force.x / self.mass;
		self.velocity.y += force.y / self.mass;
	};
	self.dragging = false;
	self.color = Math.random() * 0xFFFFFF; // Assign a unique color to each dot
	self.update = function () {
		if (!self.dragging) {
			self.x += self.velocity.x;
			self.y += self.velocity.y;
			// Apply friction to simulate realistic physics
			var friction = 0.98;
			self.velocity.x *= friction;
			self.velocity.y *= friction;
			// Keep the dot within the game boundaries
			if (self.x < 0) {
				self.x = 0;
				self.velocity.x *= -1;
			} else if (self.x > 2048) {
				self.x = 2048;
				self.velocity.x *= -1;
			}
			if (self.y < 0) {
				self.y = 0;
				self.velocity.y *= -1;
			} else if (self.y > 2732) {
				self.y = 2732;
				self.velocity.y *= -1;
			}
			self.handleCollisions();
			// Add a trail effect
			var trail = LK.getAsset('whiteDot', {
				anchorX: 0.5,
				anchorY: 0.5,
				tint: self.color,
				// Use the dot's color for the trail
				alpha: 0.5
			});
			trail.x = self.x;
			trail.y = self.y;
			game.addChildAt(trail, 0);
			LK.setTimeout(function () {
				trail.destroy();
			}, 5000);
			if (dots.length > 100) {
				var oldestDot = dots.shift();
				oldestDot.destroy();
			}
		}
	};
	self.handleDrag = function (pos) {
		self.x = pos.x;
		self.y = pos.y;
		self.handleCollisions();
	};
});

/**** 
* Initialize Game
****/
var game = new LK.Game({
	backgroundColor: 0x000000 // Init game with black background
});

/**** 
* Game Code
****/
var dots = [];
var touchStartPos = null;
// Function to handle the start of a touch
function handleTouchStart(obj) {
	var event = obj.event;
	touchStartPos = event.getLocalPosition(game);
	for (var i = 0; i < dots.length; i++) {
		var dot = dots[i];
		var dx = touchStartPos.x - dot.x;
		var dy = touchStartPos.y - dot.y;
		var distance = Math.sqrt(dx * dx + dy * dy);
		if (distance < dot.width / 2) {
			dot.dragging = true;
			break;
		}
	}
}
// Function to handle the end of a touch
function handleTouchEnd(obj) {
	if (touchStartPos) {
		var event = obj.event;
		var touchEndPos = event.getLocalPosition(game);
		var force = {
			x: touchEndPos.x - touchStartPos.x,
			y: touchEndPos.y - touchStartPos.y
		};
		for (var i = 0; i < dots.length; i++) {
			var dot = dots[i];
			if (dot.dragging) {
				dot.dragging = false;
				dot.applyForce(force);
				break;
			}
		}
		if (!dot || !dot.dragging) {
			var newDot = new Dot();
			newDot.x = touchStartPos.x;
			newDot.y = touchStartPos.y;
			newDot.applyForce(force);
			newDot.trailColor = Math.random() * 0xFFFFFF;
			if (dots.length < 100) {
				dots.push(newDot);
				game.addChild(newDot);
			} else {
				var oldDot = dots.shift();
				LK.setTimeout(function () {
					oldDot.destroy();
				}, 5000);
			}
		}
		touchStartPos = null;
	}
}
// Add event listeners for touch start and end
game.on('down', handleTouchStart);
game.on('up', handleTouchEnd);
// Update function for the game
LK.on('tick', function () {
	for (var i = dots.length - 1; i >= 0; i--) {
		dots[i].update();
		if (dots[i].dragging) {
			dots[i].handleDrag(touchStartPos);
		}
	}
});

===================================================================
--- original.js
+++ change.js
@@ -82,13 +82,10 @@
 			trail.x = self.x;
 			trail.y = self.y;
 			game.addChildAt(trail, 0);
 			LK.setTimeout(function () {
-				trail.alpha -= 0.05;
-				if (trail.alpha <= 0) {
-					trail.destroy();
-				}
-			}, 100);
+				trail.destroy();
+			}, 5000);
 			if (dots.length > 100) {
 				var oldestDot = dots.shift();
 				oldestDot.destroy();
 			}
@@ -153,8 +150,13 @@
 			newDot.trailColor = Math.random() * 0xFFFFFF;
 			if (dots.length < 100) {
 				dots.push(newDot);
 				game.addChild(newDot);
+			} else {
+				var oldDot = dots.shift();
+				LK.setTimeout(function () {
+					oldDot.destroy();
+				}, 5000);
 			}
 		}
 		touchStartPos = null;
 	}