#!/usr/bin/env python3
"""Auto-generated by AGI Loop cycle #1303
Task: \boxed{Write a Python function that calculates the optimal trucking route for Daddy, given a set of destinations and current truck positions, using a heuristic algorithm to minimize total distance tra
Generated: 2026-02-13T17:57:32.789527
"""

import math

def heuristic(point1, point2):
    """Euclidean distance heuristic between two points."""
    return math.sqrt((point1[0] - point2[0])**2 + (point1[1] - point2[1])**2)

def calculate_distance(point1, point2):
    """Calculate the actual distance between two points."""
    return math.sqrt((point1[0] - point2[0])**2 + (point1[1] - point2[1])**2)

def nearest_neighbor(current_position, destinations):
    """Heuristic algorithm to find the nearest neighbor route."""
    route = [current_position]
    remaining = destinations.copy()
    
    while remaining:
        nearest = min(remaining, key=lambda dest: heuristic(route[-1], dest))
        route.append(nearest)
        remaining.remove(nearest)
    
    return route

def total_distance(route):
    """Calculate the total distance of the route."""
    total = 0
    for i in range(1, len(route)):
        total += calculate_distance(route[i-1], route[i])
    return total

def optimal_trucking_route(current_position, destinations):
    """Function to calculate the optimal trucking route."""
    route = nearest_neighbor(current_position, destinations)
    distance = total_distance(route)
    return route, distance

if __name__ == '__main__':
    current_position = (0, 0)
    destinations = [(2, 3), (5, 1), (4, 6), (1, 5)]
    route, distance = optimal_trucking_route(current_position, destinations)
    print("Optimal Route:", route)
    print("Total Distance Traveled:", distance)