Delete diffusiondet/head.py
Browse files- diffusiondet/head.py +0 -386
diffusiondet/head.py
DELETED
|
@@ -1,386 +0,0 @@
|
|
| 1 |
-
import copy
|
| 2 |
-
import math
|
| 3 |
-
from dataclasses import astuple
|
| 4 |
-
|
| 5 |
-
import torch
|
| 6 |
-
from torch import nn
|
| 7 |
-
from torch.nn.modules.transformer import _get_activation_fn
|
| 8 |
-
from torchvision.ops import RoIAlign
|
| 9 |
-
|
| 10 |
-
_DEFAULT_SCALE_CLAMP = math.log(1000.0 / 16)
|
| 11 |
-
|
| 12 |
-
def convert_boxes_to_pooler_format(bboxes):
|
| 13 |
-
bs, num_proposals = bboxes.shape[:2]
|
| 14 |
-
sizes = torch.full((bs,), num_proposals).to(bboxes.device)
|
| 15 |
-
aggregated_bboxes = bboxes.view(bs * num_proposals, -1)
|
| 16 |
-
indices = torch.repeat_interleave(
|
| 17 |
-
torch.arange(len(sizes), dtype=aggregated_bboxes.dtype, device=aggregated_bboxes.device), sizes
|
| 18 |
-
)
|
| 19 |
-
return torch.cat([indices[:, None], aggregated_bboxes], dim=1)
|
| 20 |
-
|
| 21 |
-
|
| 22 |
-
def assign_boxes_to_levels(
|
| 23 |
-
bboxes,
|
| 24 |
-
min_level,
|
| 25 |
-
max_level,
|
| 26 |
-
canonical_box_size,
|
| 27 |
-
canonical_level,
|
| 28 |
-
):
|
| 29 |
-
aggregated_bboxes = bboxes.view(bboxes.shape[0] * bboxes.shape[1], -1)
|
| 30 |
-
area = (aggregated_bboxes[:, 2] - aggregated_bboxes[:, 0]) * (aggregated_bboxes[:, 3] - aggregated_bboxes[:, 1])
|
| 31 |
-
box_sizes = torch.sqrt(area)
|
| 32 |
-
# Eqn.(1) in FPN paper
|
| 33 |
-
level_assignments = torch.floor(canonical_level + torch.log2(box_sizes / canonical_box_size + 1e-8))
|
| 34 |
-
# clamp level to (min, max), in case the box size is too large or too small
|
| 35 |
-
# for the available feature maps
|
| 36 |
-
level_assignments = torch.clamp(level_assignments, min=min_level, max=max_level)
|
| 37 |
-
return level_assignments.to(torch.int64) - min_level
|
| 38 |
-
|
| 39 |
-
|
| 40 |
-
class SinusoidalPositionEmbeddings(nn.Module):
|
| 41 |
-
def __init__(self, dim):
|
| 42 |
-
super().__init__()
|
| 43 |
-
self.dim = dim
|
| 44 |
-
|
| 45 |
-
def forward(self, time):
|
| 46 |
-
device = time.device
|
| 47 |
-
half_dim = self.dim // 2
|
| 48 |
-
embeddings = math.log(10000) / (half_dim - 1)
|
| 49 |
-
embeddings = torch.exp(torch.arange(half_dim, device=device) * -embeddings)
|
| 50 |
-
embeddings = time[:, None] * embeddings[None, :]
|
| 51 |
-
embeddings = torch.cat((embeddings.sin(), embeddings.cos()), dim=-1)
|
| 52 |
-
return embeddings
|
| 53 |
-
|
| 54 |
-
|
| 55 |
-
class HeadDynamicK(nn.Module):
|
| 56 |
-
def __init__(self, config, roi_input_shape):
|
| 57 |
-
super().__init__()
|
| 58 |
-
num_classes = config.num_labels
|
| 59 |
-
|
| 60 |
-
ddet_head = DiffusionDetHead(config, roi_input_shape, num_classes)
|
| 61 |
-
self.num_head = config.num_heads
|
| 62 |
-
self.head_series = nn.ModuleList([copy.deepcopy(ddet_head) for _ in range(self.num_head)])
|
| 63 |
-
self.return_intermediate = config.deep_supervision
|
| 64 |
-
|
| 65 |
-
# Gaussian random feature embedding layer for time
|
| 66 |
-
self.hidden_dim = config.hidden_dim
|
| 67 |
-
time_dim = self.hidden_dim * 4
|
| 68 |
-
self.time_mlp = nn.Sequential(
|
| 69 |
-
SinusoidalPositionEmbeddings(self.hidden_dim),
|
| 70 |
-
nn.Linear(self.hidden_dim, time_dim),
|
| 71 |
-
nn.GELU(),
|
| 72 |
-
nn.Linear(time_dim, time_dim),
|
| 73 |
-
)
|
| 74 |
-
|
| 75 |
-
# Init parameters.
|
| 76 |
-
self.use_focal = config.use_focal
|
| 77 |
-
self.use_fed_loss = config.use_fed_loss
|
| 78 |
-
self.num_classes = num_classes
|
| 79 |
-
if self.use_focal or self.use_fed_loss:
|
| 80 |
-
prior_prob = config.prior_prob
|
| 81 |
-
self.bias_value = -math.log((1 - prior_prob) / prior_prob)
|
| 82 |
-
self._reset_parameters()
|
| 83 |
-
|
| 84 |
-
def _reset_parameters(self):
|
| 85 |
-
# init all parameters.
|
| 86 |
-
for p in self.parameters():
|
| 87 |
-
if p.dim() > 1:
|
| 88 |
-
nn.init.xavier_uniform_(p)
|
| 89 |
-
|
| 90 |
-
# initialize the bias for focal loss and fed loss.
|
| 91 |
-
if self.use_focal or self.use_fed_loss:
|
| 92 |
-
if p.shape[-1] == self.num_classes or p.shape[-1] == self.num_classes + 1:
|
| 93 |
-
nn.init.constant_(p, self.bias_value)
|
| 94 |
-
|
| 95 |
-
|
| 96 |
-
def forward(self, features, bboxes, t):
|
| 97 |
-
# assert t shape (batch_size)
|
| 98 |
-
time = self.time_mlp(t)
|
| 99 |
-
|
| 100 |
-
inter_class_logits = []
|
| 101 |
-
inter_pred_bboxes = []
|
| 102 |
-
|
| 103 |
-
bs = len(features[0])
|
| 104 |
-
|
| 105 |
-
class_logits, pred_bboxes = None, None
|
| 106 |
-
for head_idx, ddet_head in enumerate(self.head_series):
|
| 107 |
-
class_logits, pred_bboxes, proposal_features = ddet_head(features, bboxes, time)
|
| 108 |
-
if self.return_intermediate:
|
| 109 |
-
inter_class_logits.append(class_logits)
|
| 110 |
-
inter_pred_bboxes.append(pred_bboxes)
|
| 111 |
-
bboxes = pred_bboxes.detach()
|
| 112 |
-
|
| 113 |
-
if self.return_intermediate:
|
| 114 |
-
return torch.stack(inter_class_logits), torch.stack(inter_pred_bboxes)
|
| 115 |
-
|
| 116 |
-
return class_logits[None], pred_bboxes[None]
|
| 117 |
-
|
| 118 |
-
|
| 119 |
-
class DynamicConv(nn.Module):
|
| 120 |
-
def __init__(self, config):
|
| 121 |
-
super().__init__()
|
| 122 |
-
|
| 123 |
-
self.hidden_dim = config.hidden_dim
|
| 124 |
-
self.dim_dynamic = config.dim_dynamic
|
| 125 |
-
self.num_dynamic = config.num_dynamic
|
| 126 |
-
self.num_params = self.hidden_dim * self.dim_dynamic
|
| 127 |
-
self.dynamic_layer = nn.Linear(self.hidden_dim, self.num_dynamic * self.num_params)
|
| 128 |
-
|
| 129 |
-
self.norm1 = nn.LayerNorm(self.dim_dynamic)
|
| 130 |
-
self.norm2 = nn.LayerNorm(self.hidden_dim)
|
| 131 |
-
|
| 132 |
-
self.activation = nn.ReLU(inplace=True)
|
| 133 |
-
|
| 134 |
-
pooler_resolution = config.pooler_resolution
|
| 135 |
-
num_output = self.hidden_dim * pooler_resolution ** 2
|
| 136 |
-
self.out_layer = nn.Linear(num_output, self.hidden_dim)
|
| 137 |
-
self.norm3 = nn.LayerNorm(self.hidden_dim)
|
| 138 |
-
|
| 139 |
-
|
| 140 |
-
def forward(self, pro_features, roi_features):
|
| 141 |
-
features = roi_features.permute(1, 0, 2)
|
| 142 |
-
parameters = self.dynamic_layer(pro_features).permute(1, 0, 2)
|
| 143 |
-
|
| 144 |
-
param1 = parameters[:, :, :self.num_params].view(-1, self.hidden_dim, self.dim_dynamic)
|
| 145 |
-
param2 = parameters[:, :, self.num_params:].view(-1, self.dim_dynamic, self.hidden_dim)
|
| 146 |
-
|
| 147 |
-
features = torch.bmm(features, param1)
|
| 148 |
-
features = self.norm1(features)
|
| 149 |
-
features = self.activation(features)
|
| 150 |
-
|
| 151 |
-
features = torch.bmm(features, param2)
|
| 152 |
-
features = self.norm2(features)
|
| 153 |
-
features = self.activation(features)
|
| 154 |
-
|
| 155 |
-
features = features.flatten(1)
|
| 156 |
-
features = self.out_layer(features)
|
| 157 |
-
features = self.norm3(features)
|
| 158 |
-
features = self.activation(features)
|
| 159 |
-
|
| 160 |
-
return features
|
| 161 |
-
|
| 162 |
-
|
| 163 |
-
class DiffusionDetHead(nn.Module):
|
| 164 |
-
def __init__(self, config, roi_input_shape, num_classes):
|
| 165 |
-
super().__init__()
|
| 166 |
-
|
| 167 |
-
dim_feedforward = config.dim_feedforward
|
| 168 |
-
nhead = config.num_attn_heads
|
| 169 |
-
dropout = config.dropout
|
| 170 |
-
activation = config.activation
|
| 171 |
-
in_features = config.roi_head_in_features
|
| 172 |
-
pooler_resolution = config.pooler_resolution
|
| 173 |
-
pooler_scales = tuple(1.0 / roi_input_shape[k]['stride'] for k in in_features)
|
| 174 |
-
sampling_ratio = config.sampling_ratio
|
| 175 |
-
|
| 176 |
-
self.hidden_dim = config.hidden_dim
|
| 177 |
-
|
| 178 |
-
self.pooler = ROIPooler(
|
| 179 |
-
output_size=pooler_resolution,
|
| 180 |
-
scales=pooler_scales,
|
| 181 |
-
sampling_ratio=sampling_ratio,
|
| 182 |
-
)
|
| 183 |
-
|
| 184 |
-
# dynamic.
|
| 185 |
-
self.self_attn = nn.MultiheadAttention(self.hidden_dim, nhead, dropout=dropout)
|
| 186 |
-
self.inst_interact = DynamicConv(config)
|
| 187 |
-
|
| 188 |
-
self.linear1 = nn.Linear(self.hidden_dim, dim_feedforward)
|
| 189 |
-
self.dropout = nn.Dropout(dropout)
|
| 190 |
-
self.linear2 = nn.Linear(dim_feedforward, self.hidden_dim)
|
| 191 |
-
|
| 192 |
-
self.norm1 = nn.LayerNorm(self.hidden_dim)
|
| 193 |
-
self.norm2 = nn.LayerNorm(self.hidden_dim)
|
| 194 |
-
self.norm3 = nn.LayerNorm(self.hidden_dim)
|
| 195 |
-
self.dropout1 = nn.Dropout(dropout)
|
| 196 |
-
self.dropout2 = nn.Dropout(dropout)
|
| 197 |
-
self.dropout3 = nn.Dropout(dropout)
|
| 198 |
-
|
| 199 |
-
self.activation = _get_activation_fn(activation)
|
| 200 |
-
|
| 201 |
-
# block time mlp
|
| 202 |
-
self.block_time_mlp = nn.Sequential(nn.SiLU(), nn.Linear(self.hidden_dim * 4, self.hidden_dim * 2))
|
| 203 |
-
|
| 204 |
-
# cls.
|
| 205 |
-
num_cls = config.num_cls
|
| 206 |
-
cls_module = list()
|
| 207 |
-
for _ in range(num_cls):
|
| 208 |
-
cls_module.append(nn.Linear(self.hidden_dim, self.hidden_dim, False))
|
| 209 |
-
cls_module.append(nn.LayerNorm(self.hidden_dim))
|
| 210 |
-
cls_module.append(nn.ReLU(inplace=True))
|
| 211 |
-
self.cls_module = nn.ModuleList(cls_module)
|
| 212 |
-
|
| 213 |
-
# reg.
|
| 214 |
-
num_reg = config.num_reg
|
| 215 |
-
reg_module = list()
|
| 216 |
-
for _ in range(num_reg):
|
| 217 |
-
reg_module.append(nn.Linear(self.hidden_dim, self.hidden_dim, False))
|
| 218 |
-
reg_module.append(nn.LayerNorm(self.hidden_dim))
|
| 219 |
-
reg_module.append(nn.ReLU(inplace=True))
|
| 220 |
-
self.reg_module = nn.ModuleList(reg_module)
|
| 221 |
-
|
| 222 |
-
# pred.
|
| 223 |
-
self.use_focal = config.use_focal
|
| 224 |
-
self.use_fed_loss = config.use_fed_loss
|
| 225 |
-
if self.use_focal or self.use_fed_loss:
|
| 226 |
-
self.class_logits = nn.Linear(self.hidden_dim, num_classes)
|
| 227 |
-
else:
|
| 228 |
-
self.class_logits = nn.Linear(self.hidden_dim, num_classes + 1)
|
| 229 |
-
self.bboxes_delta = nn.Linear(self.hidden_dim, 4)
|
| 230 |
-
self.scale_clamp = _DEFAULT_SCALE_CLAMP
|
| 231 |
-
self.bbox_weights = (2.0, 2.0, 1.0, 1.0)
|
| 232 |
-
|
| 233 |
-
def forward(self, features, bboxes, time_emb):
|
| 234 |
-
bs, num_proposals = bboxes.shape[:2]
|
| 235 |
-
|
| 236 |
-
# roi_feature.
|
| 237 |
-
roi_features = self.pooler(features, bboxes)
|
| 238 |
-
|
| 239 |
-
pro_features = roi_features.view(bs, num_proposals, self.hidden_dim, -1).mean(-1)
|
| 240 |
-
|
| 241 |
-
roi_features = roi_features.view(bs * num_proposals, self.hidden_dim, -1).permute(2, 0, 1)
|
| 242 |
-
|
| 243 |
-
# self_att.
|
| 244 |
-
pro_features = pro_features.view(bs, num_proposals, self.hidden_dim).permute(1, 0, 2)
|
| 245 |
-
pro_features2 = self.self_attn(pro_features, pro_features, value=pro_features)[0]
|
| 246 |
-
pro_features = pro_features + self.dropout1(pro_features2)
|
| 247 |
-
pro_features = self.norm1(pro_features)
|
| 248 |
-
|
| 249 |
-
# inst_interact.
|
| 250 |
-
pro_features = pro_features.view(num_proposals, bs, self.hidden_dim).permute(1, 0, 2).reshape(1, bs * num_proposals,
|
| 251 |
-
self.hidden_dim)
|
| 252 |
-
pro_features2 = self.inst_interact(pro_features, roi_features)
|
| 253 |
-
pro_features = pro_features + self.dropout2(pro_features2)
|
| 254 |
-
obj_features = self.norm2(pro_features)
|
| 255 |
-
|
| 256 |
-
# obj_feature.
|
| 257 |
-
obj_features2 = self.linear2(self.dropout(self.activation(self.linear1(obj_features))))
|
| 258 |
-
obj_features = obj_features + self.dropout3(obj_features2)
|
| 259 |
-
obj_features = self.norm3(obj_features)
|
| 260 |
-
|
| 261 |
-
fc_feature = obj_features.transpose(0, 1).reshape(bs * num_proposals, -1)
|
| 262 |
-
|
| 263 |
-
scale_shift = self.block_time_mlp(time_emb)
|
| 264 |
-
scale_shift = torch.repeat_interleave(scale_shift, num_proposals, dim=0)
|
| 265 |
-
scale, shift = scale_shift.chunk(2, dim=1)
|
| 266 |
-
fc_feature = fc_feature * (scale + 1) + shift
|
| 267 |
-
|
| 268 |
-
cls_feature = fc_feature.clone()
|
| 269 |
-
reg_feature = fc_feature.clone()
|
| 270 |
-
for cls_layer in self.cls_module:
|
| 271 |
-
cls_feature = cls_layer(cls_feature)
|
| 272 |
-
for reg_layer in self.reg_module:
|
| 273 |
-
reg_feature = reg_layer(reg_feature)
|
| 274 |
-
class_logits = self.class_logits(cls_feature)
|
| 275 |
-
bboxes_deltas = self.bboxes_delta(reg_feature)
|
| 276 |
-
pred_bboxes = self.apply_deltas(bboxes_deltas, bboxes.view(-1, 4))
|
| 277 |
-
|
| 278 |
-
return class_logits.view(bs, num_proposals, -1), pred_bboxes.view(bs, num_proposals, -1), obj_features
|
| 279 |
-
|
| 280 |
-
def apply_deltas(self, deltas, boxes):
|
| 281 |
-
"""
|
| 282 |
-
Apply transformation `deltas` (dx, dy, dw, dh) to `boxes`.
|
| 283 |
-
|
| 284 |
-
Args:
|
| 285 |
-
deltas (Tensor): transformation deltas of shape (N, k*4), where k >= 1.
|
| 286 |
-
deltas[i] represents k potentially different class-specific
|
| 287 |
-
box transformations for the single box boxes[i].
|
| 288 |
-
boxes (Tensor): boxes to transform, of shape (N, 4)
|
| 289 |
-
"""
|
| 290 |
-
boxes = boxes.to(deltas.dtype)
|
| 291 |
-
|
| 292 |
-
widths = boxes[:, 2] - boxes[:, 0]
|
| 293 |
-
heights = boxes[:, 3] - boxes[:, 1]
|
| 294 |
-
ctr_x = boxes[:, 0] + 0.5 * widths
|
| 295 |
-
ctr_y = boxes[:, 1] + 0.5 * heights
|
| 296 |
-
|
| 297 |
-
wx, wy, ww, wh = self.bbox_weights
|
| 298 |
-
dx = deltas[:, 0::4] / wx
|
| 299 |
-
dy = deltas[:, 1::4] / wy
|
| 300 |
-
dw = deltas[:, 2::4] / ww
|
| 301 |
-
dh = deltas[:, 3::4] / wh
|
| 302 |
-
|
| 303 |
-
# Prevent sending too large values into torch.exp()
|
| 304 |
-
dw = torch.clamp(dw, max=self.scale_clamp)
|
| 305 |
-
dh = torch.clamp(dh, max=self.scale_clamp)
|
| 306 |
-
|
| 307 |
-
pred_ctr_x = dx * widths[:, None] + ctr_x[:, None]
|
| 308 |
-
pred_ctr_y = dy * heights[:, None] + ctr_y[:, None]
|
| 309 |
-
pred_w = torch.exp(dw) * widths[:, None]
|
| 310 |
-
pred_h = torch.exp(dh) * heights[:, None]
|
| 311 |
-
|
| 312 |
-
pred_boxes = torch.zeros_like(deltas)
|
| 313 |
-
pred_boxes[:, 0::4] = pred_ctr_x - 0.5 * pred_w # x1
|
| 314 |
-
pred_boxes[:, 1::4] = pred_ctr_y - 0.5 * pred_h # y1
|
| 315 |
-
pred_boxes[:, 2::4] = pred_ctr_x + 0.5 * pred_w # x2
|
| 316 |
-
pred_boxes[:, 3::4] = pred_ctr_y + 0.5 * pred_h # y2
|
| 317 |
-
|
| 318 |
-
return pred_boxes
|
| 319 |
-
|
| 320 |
-
|
| 321 |
-
class ROIPooler(nn.Module):
|
| 322 |
-
"""
|
| 323 |
-
Region of interest feature map pooler that supports pooling from one or more
|
| 324 |
-
feature maps.
|
| 325 |
-
"""
|
| 326 |
-
|
| 327 |
-
def __init__(
|
| 328 |
-
self,
|
| 329 |
-
output_size,
|
| 330 |
-
scales,
|
| 331 |
-
sampling_ratio,
|
| 332 |
-
canonical_box_size=224,
|
| 333 |
-
canonical_level=4,
|
| 334 |
-
):
|
| 335 |
-
super().__init__()
|
| 336 |
-
|
| 337 |
-
min_level = -(math.log2(scales[0]))
|
| 338 |
-
max_level = -(math.log2(scales[-1]))
|
| 339 |
-
|
| 340 |
-
if isinstance(output_size, int):
|
| 341 |
-
output_size = (output_size, output_size)
|
| 342 |
-
assert len(output_size) == 2 and isinstance(output_size[0], int) and isinstance(output_size[1], int)
|
| 343 |
-
assert math.isclose(min_level, int(min_level)) and math.isclose(max_level, int(max_level))
|
| 344 |
-
assert (len(scales) == max_level - min_level + 1)
|
| 345 |
-
assert 0 <= min_level <= max_level
|
| 346 |
-
assert canonical_box_size > 0
|
| 347 |
-
|
| 348 |
-
self.output_size = output_size
|
| 349 |
-
self.min_level = int(min_level)
|
| 350 |
-
self.max_level = int(max_level)
|
| 351 |
-
self.canonical_level = canonical_level
|
| 352 |
-
self.canonical_box_size = canonical_box_size
|
| 353 |
-
self.level_poolers = nn.ModuleList(
|
| 354 |
-
RoIAlign(
|
| 355 |
-
output_size, spatial_scale=scale, sampling_ratio=sampling_ratio, aligned=True
|
| 356 |
-
)
|
| 357 |
-
for scale in scales
|
| 358 |
-
)
|
| 359 |
-
|
| 360 |
-
def forward(self, x, bboxes):
|
| 361 |
-
num_level_assignments = len(self.level_poolers)
|
| 362 |
-
assert len(x) == num_level_assignments and len(bboxes) == x[0].size(0)
|
| 363 |
-
|
| 364 |
-
pooler_fmt_boxes = convert_boxes_to_pooler_format(bboxes)
|
| 365 |
-
|
| 366 |
-
if num_level_assignments == 1:
|
| 367 |
-
return self.level_poolers[0](x[0], pooler_fmt_boxes)
|
| 368 |
-
|
| 369 |
-
level_assignments = assign_boxes_to_levels(
|
| 370 |
-
bboxes, self.min_level, self.max_level, self.canonical_box_size, self.canonical_level
|
| 371 |
-
)
|
| 372 |
-
|
| 373 |
-
batches = pooler_fmt_boxes.shape[0]
|
| 374 |
-
channels = x[0].shape[1]
|
| 375 |
-
output_size = self.output_size[0]
|
| 376 |
-
sizes = (batches, channels, output_size, output_size)
|
| 377 |
-
|
| 378 |
-
output = torch.zeros(sizes, dtype=x[0].dtype, device=x[0].device)
|
| 379 |
-
|
| 380 |
-
for level, (x_level, pooler) in enumerate(zip(x, self.level_poolers)):
|
| 381 |
-
inds = (level_assignments == level).nonzero(as_tuple=True)[0]
|
| 382 |
-
pooler_fmt_boxes_level = pooler_fmt_boxes[inds]
|
| 383 |
-
# Use index_put_ instead of advance indexing, to avoid pytorch/issues/49852
|
| 384 |
-
output.index_put_((inds,), pooler(x_level, pooler_fmt_boxes_level))
|
| 385 |
-
|
| 386 |
-
return output
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|