import torch
from torch import nn


class E2Ptransform(nn.Module):
    """Edge to Points trasnformation"""
    def __init__(self, points, edges, out_dim=64):
        super(E2Ptransform, self).__init__()
        self.ones = nn.parameter.Parameter(torch.ones((1, out_dim, out_dim)), requires_grad=False)
        edge_matrix = self._select_matrix(points, edges)
        self.edge2point = nn.parameter.Parameter(edge_matrix, requires_grad=False)      # Npoint X Nedges+1

    def forward(self, edges):
        B, L, H, W = edges.shape
        edges_ext = torch.cat((edges, self.ones.repeat(B, 1, 1, 1)), 1)
        edges_mat = edges_ext.permute(0, 2, 3, 1).reshape(B, H, W, 1, L+1)
        edge2point = self.edge2point.transpose(-1, -2)
        point_edges = torch.matmul(edges_mat, edge2point)
        point_edges = point_edges.reshape(B, H, W, -1).permute(0, 3, 1, 2)
        point_edges[point_edges > 1] = 1.
        return point_edges

    def _select_matrix(self, points, edges):

        if points == 98 and edges == 15:
            return WFLW_98x15
        elif points == 68 and edges == 13:
            return W300_68x13
        elif points == 29 and edges == 13:
            return COFW_29x13
        elif points == 19 and edges == 6:
            return AFLW19_19x6
        else:
            raise ValueError("E2P matrix not implemented")


# Database matrixE2P
WFLW_98x15 = torch.Tensor([[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
                           [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]])


W300_68x13 = torch.Tensor([ [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]])


AFLW19_19x6 = torch.Tensor([[1, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 0, 1, 0],
                            [0, 0, 0, 0, 0, 1, 0],
                            [0, 0, 0, 0, 0, 1, 0],
                            [0, 0, 0, 0, 0, 0, 1]])


COFW_29x13 = torch.Tensor([ [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
                            [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
                            [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
                            [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
                            [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]])