import numpy as np


def compute_length(solution, dist_matrix):
    total_length = 0
    starting_node = solution[0]
    from_node = starting_node
    for node in solution[1:]:
        total_length += dist_matrix[from_node, node]
        from_node = node
    return total_length


def distance_euc(point_i, point_j):
    rounding = 0
    x_i, y_i = point_i[0], point_i[1]
    x_j, y_j = point_j[0], point_j[1]
    distance = np.sqrt((x_i - x_j) ** 2 + (y_i - y_j) ** 2)
    return round(distance, rounding)