from __future__ import annotations

import gc
import math
import os
import threading
import time
from itertools import combinations
from pathlib import Path
from concurrent.futures import ThreadPoolExecutor
from collections import OrderedDict, defaultdict
from typing import Any, Dict, Iterable, List, Optional

import cv2
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
import yaml
from numpy import ndarray
from PIL import Image
import torchvision.transforms as T
from sklearn.cluster import KMeans
from pydantic import BaseModel
from ultralytics import YOLO

try:
    from scipy.optimize import linear_sum_assignment as _linear_sum_assignment
except ImportError:
    _linear_sum_assignment = None

_f0 = True
BatchNorm2d = nn.BatchNorm2d
_v0 = 0.1


def _c0(in_planes: int, out_planes: int, stride: int = 1) -> nn.Conv2d:
    return nn.Conv2d(in_planes, out_planes, kernel_size=3, stride=stride, padding=1, bias=False)


class _B0(nn.Module):
    expansion = 1

    def __init__(self, inplanes: int, planes: int, stride: int = 1, downsample: Any = None):
        super().__init__()
        self.conv1 = _c0(inplanes, planes, stride)
        self.bn1 = BatchNorm2d(planes, momentum=_v0)
        self.relu = nn.ReLU(inplace=True)
        self.conv2 = _c0(planes, planes)
        self.bn2 = BatchNorm2d(planes, momentum=_v0)
        self.downsample = downsample
        self.stride = stride

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        residual = x
        out = self.conv1(x)
        out = self.bn1(out)
        out = self.relu(out)
        out = self.conv2(out)
        out = self.bn2(out)
        if self.downsample is not None:
            residual = self.downsample(x)
        out += residual
        out = self.relu(out)
        return out


class _B1(nn.Module):
    expansion = 4

    def __init__(self, inplanes: int, planes: int, stride: int = 1, downsample: Any = None):
        super().__init__()
        self.conv1 = nn.Conv2d(inplanes, planes, kernel_size=1, bias=False)
        self.bn1 = BatchNorm2d(planes, momentum=_v0)
        self.conv2 = nn.Conv2d(planes, planes, kernel_size=3, stride=stride, padding=1, bias=False)
        self.bn2 = BatchNorm2d(planes, momentum=_v0)
        self.conv3 = nn.Conv2d(planes, planes * self.expansion, kernel_size=1, bias=False)
        self.bn3 = BatchNorm2d(planes * self.expansion, momentum=_v0)
        self.relu = nn.ReLU(inplace=True)
        self.downsample = downsample
        self.stride = stride

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        residual = x
        out = self.conv1(x)
        out = self.bn1(out)
        out = self.relu(out)
        out = self.conv2(out)
        out = self.bn2(out)
        out = self.relu(out)
        out = self.conv3(out)
        out = self.bn3(out)
        if self.downsample is not None:
            residual = self.downsample(x)
        out += residual
        out = self.relu(out)
        return out


_d0 = {"BASIC": _B0, "BOTTLENECK": _B1}


def _block_from_cfg(block_key: Any) -> type:
    if isinstance(block_key, bool):
        return _d0["BOTTLENECK"] if block_key else _d0["BASIC"]
    key = str(block_key).upper() if block_key else "BASIC"
    if key not in _d0:
        key = "BASIC"
    return _d0[key]


class _H0(nn.Module):
    def __init__(self, num_branches: int, blocks: type, num_blocks: list, num_inchannels: list, num_channels: list, fuse_method: str, multi_scale_output: bool = True):
        super().__init__()
        if isinstance(blocks, bool):
            blocks = _d0["BOTTLENECK"] if blocks else _d0["BASIC"]
        self._check_branches(num_branches, blocks, num_blocks, num_inchannels, num_channels)
        self.num_inchannels = num_inchannels
        self.fuse_method = fuse_method
        self.num_branches = num_branches
        self.multi_scale_output = multi_scale_output
        self.branches = self._make_branches(num_branches, blocks, num_blocks, num_channels)
        self.fuse_layers = self._make_fuse_layers()
        self.relu = nn.ReLU(inplace=True)

    def _check_branches(self, num_branches: int, blocks: type, num_blocks: list, num_inchannels: list, num_channels: list) -> None:
        if num_branches != len(num_blocks):
            raise ValueError("NUM_BRANCHES <> NUM_BLOCKS")
        if num_branches != len(num_channels):
            raise ValueError("NUM_BRANCHES <> NUM_CHANNELS")
        if num_branches != len(num_inchannels):
            raise ValueError("NUM_BRANCHES <> NUM_INCHANNELS")

    def _make_one_branch(self, branch_index: int, block: type, num_blocks: list, num_channels: list, stride: int = 1) -> nn.Sequential:
        if isinstance(block, bool):
            block = _d0["BOTTLENECK"] if block else _d0["BASIC"]
        downsample = None
        if stride != 1 or self.num_inchannels[branch_index] != num_channels[branch_index] * block.expansion:
            downsample = nn.Sequential(
                nn.Conv2d(self.num_inchannels[branch_index], num_channels[branch_index] * block.expansion, kernel_size=1, stride=stride, bias=False),
                BatchNorm2d(num_channels[branch_index] * block.expansion, momentum=_v0),
            )
        layers = [block(self.num_inchannels[branch_index], num_channels[branch_index], stride, downsample)]
        self.num_inchannels[branch_index] = num_channels[branch_index] * block.expansion
        for _ in range(1, num_blocks[branch_index]):
            layers.append(block(self.num_inchannels[branch_index], num_channels[branch_index]))
        return nn.Sequential(*layers)

    def _make_branches(self, num_branches: int, block: type, num_blocks: list, num_channels: list) -> nn.ModuleList:
        return nn.ModuleList([self._make_one_branch(i, block, num_blocks, num_channels) for i in range(num_branches)])

    def _make_fuse_layers(self) -> nn.ModuleList | None:
        if self.num_branches == 1:
            return None
        num_branches = self.num_branches
        num_inchannels = self.num_inchannels
        fuse_layers = []
        for i in range(num_branches if self.multi_scale_output else 1):
            fuse_layer = []
            for j in range(num_branches):
                if j > i:
                    fuse_layer.append(nn.Sequential(nn.Conv2d(num_inchannels[j], num_inchannels[i], 1, 1, 0, bias=False), BatchNorm2d(num_inchannels[i], momentum=_v0)))
                elif j == i:
                    fuse_layer.append(None)
                else:
                    conv3x3s = []
                    for k in range(i - j):
                        if k == i - j - 1:
                            conv3x3s.append(nn.Sequential(nn.Conv2d(num_inchannels[j], num_inchannels[i], 3, 2, 1, bias=False), BatchNorm2d(num_inchannels[i], momentum=_v0)))
                        else:
                            conv3x3s.append(nn.Sequential(nn.Conv2d(num_inchannels[j], num_inchannels[j], 3, 2, 1, bias=False), BatchNorm2d(num_inchannels[j], momentum=_v0), nn.ReLU(inplace=True)))
                    fuse_layer.append(nn.Sequential(*conv3x3s))
            fuse_layers.append(nn.ModuleList(fuse_layer))
        return nn.ModuleList(fuse_layers)

    def get_num_inchannels(self) -> list:
        return self.num_inchannels

    def forward(self, x: list) -> list:
        if self.num_branches == 1:
            return [self.branches[0](x[0])]
        for i in range(self.num_branches):
            x[i] = self.branches[i](x[i])
        x_fuse = []
        for i in range(len(self.fuse_layers)):
            y = x[0] if i == 0 else self.fuse_layers[i][0](x[0])
            for j in range(1, self.num_branches):
                if i == j:
                    y = y + x[j]
                elif j > i:
                    y = y + F.interpolate(self.fuse_layers[i][j](x[j]), size=[x[i].shape[2], x[i].shape[3]], mode="bilinear")
                else:
                    y = y + self.fuse_layers[i][j](x[j])
            x_fuse.append(self.relu(y))
        return x_fuse


class _H1(nn.Module):
    def __init__(self, config: dict, lines: bool = False, **kwargs: Any) -> None:
        self.inplanes = 64
        self.lines = lines
        extra = config["MODEL"]["EXTRA"]
        super().__init__()
        self.conv1 = nn.Conv2d(3, self.inplanes, kernel_size=3, stride=2, padding=1, bias=False)
        self.bn1 = BatchNorm2d(self.inplanes, momentum=_v0)
        self.conv2 = nn.Conv2d(self.inplanes, self.inplanes, kernel_size=3, stride=2, padding=1, bias=False)
        self.bn2 = BatchNorm2d(self.inplanes, momentum=_v0)
        self.relu = nn.ReLU(inplace=True)
        self.layer1 = self._make_layer(_B1, 64, 64, 4)
        self.stage2_cfg = extra["STAGE2"]
        num_channels = [extra["STAGE2"]["NUM_CHANNELS"][i] * _block_from_cfg(extra["STAGE2"]["BLOCK"]).expansion for i in range(len(extra["STAGE2"]["NUM_CHANNELS"]))]
        self.transition1 = self._make_transition_layer([256], num_channels)
        self.stage2, pre_stage_channels = self._make_stage(self.stage2_cfg, num_channels)
        self.stage3_cfg = extra["STAGE3"]
        num_channels = [extra["STAGE3"]["NUM_CHANNELS"][i] * _block_from_cfg(extra["STAGE3"]["BLOCK"]).expansion for i in range(len(extra["STAGE3"]["NUM_CHANNELS"]))]
        self.transition2 = self._make_transition_layer(pre_stage_channels, num_channels)
        self.stage3, pre_stage_channels = self._make_stage(self.stage3_cfg, num_channels)
        self.stage4_cfg = extra["STAGE4"]
        num_channels = [extra["STAGE4"]["NUM_CHANNELS"][i] * _block_from_cfg(extra["STAGE4"]["BLOCK"]).expansion for i in range(len(extra["STAGE4"]["NUM_CHANNELS"]))]
        self.transition3 = self._make_transition_layer(pre_stage_channels, num_channels)
        self.stage4, pre_stage_channels = self._make_stage(self.stage4_cfg, num_channels, multi_scale_output=True)
        self.upsample = nn.Upsample(scale_factor=2, mode="nearest")
        final_inp_channels = sum(pre_stage_channels) + self.inplanes
        self.head = nn.Sequential(
            nn.Conv2d(final_inp_channels, final_inp_channels, kernel_size=1),
            BatchNorm2d(final_inp_channels, momentum=_v0),
            nn.ReLU(inplace=True),
            nn.Conv2d(final_inp_channels, config["MODEL"]["NUM_JOINTS"], kernel_size=extra["FINAL_CONV_KERNEL"]),
            nn.Softmax(dim=1) if not self.lines else nn.Sigmoid(),
        )

    def _make_head(self, x: torch.Tensor, x_skip: torch.Tensor) -> torch.Tensor:
        x = self.upsample(x)
        x = torch.cat([x, x_skip], dim=1)
        return self.head(x)

    def _make_transition_layer(self, num_channels_pre_layer: list, num_channels_cur_layer: list) -> nn.ModuleList:
        num_branches_cur = len(num_channels_cur_layer)
        num_branches_pre = len(num_channels_pre_layer)
        transition_layers = []
        for i in range(num_branches_cur):
            if i < num_branches_pre:
                if num_channels_cur_layer[i] != num_channels_pre_layer[i]:
                    transition_layers.append(nn.Sequential(
                        nn.Conv2d(num_channels_pre_layer[i], num_channels_cur_layer[i], 3, 1, 1, bias=False),
                        BatchNorm2d(num_channels_cur_layer[i], momentum=_v0),
                        nn.ReLU(inplace=True),
                    ))
                else:
                    transition_layers.append(None)
            else:
                conv3x3s = []
                for j in range(i + 1 - num_branches_pre):
                    inchannels = num_channels_pre_layer[-1]
                    outchannels = num_channels_cur_layer[i] if j == i - num_branches_pre else inchannels
                    conv3x3s.append(nn.Sequential(
                        nn.Conv2d(inchannels, outchannels, 3, 2, 1, bias=False),
                        BatchNorm2d(outchannels, momentum=_v0),
                        nn.ReLU(inplace=True),
                    ))
                transition_layers.append(nn.Sequential(*conv3x3s))
        return nn.ModuleList(transition_layers)

    def _make_layer(self, block: type, inplanes: int, planes: int, blocks: int, stride: int = 1) -> nn.Sequential:
        if isinstance(block, bool):
            block = _d0["BOTTLENECK"] if block else _d0["BASIC"]
        downsample = None
        if stride != 1 or inplanes != planes * block.expansion:
            downsample = nn.Sequential(
                nn.Conv2d(inplanes, planes * block.expansion, kernel_size=1, stride=stride, bias=False),
                BatchNorm2d(planes * block.expansion, momentum=_v0),
            )
        layers = [block(inplanes, planes, stride, downsample)]
        inplanes = planes * block.expansion
        for _ in range(1, blocks):
            layers.append(block(inplanes, planes))
        return nn.Sequential(*layers)

    def _make_stage(self, layer_config: dict, num_inchannels: list, multi_scale_output: bool = True) -> tuple:
        num_modules = layer_config["NUM_MODULES"]
        num_blocks = layer_config["NUM_BLOCKS"]
        num_channels = layer_config["NUM_CHANNELS"]
        block = _block_from_cfg(layer_config["BLOCK"])
        fuse_method = layer_config["FUSE_METHOD"]
        modules = []
        for i in range(num_modules):
            reset_multi_scale_output = False if (not multi_scale_output and i == num_modules - 1) else True
            modules.append(_H0(
                layer_config["NUM_BRANCHES"], block, num_blocks, num_inchannels, num_channels,
                fuse_method, reset_multi_scale_output,
            ))
            num_inchannels = modules[-1].get_num_inchannels()
        return nn.Sequential(*modules), num_inchannels

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        x = self.conv1(x)
        x_skip = x.clone()
        x = self.bn1(x)
        x = self.relu(x)
        x = self.conv2(x)
        x = self.bn2(x)
        x = self.relu(x)
        x = self.layer1(x)
        x_list = [self.transition1[i](x) if self.transition1[i] is not None else x for i in range(self.stage2_cfg["NUM_BRANCHES"])]
        y_list = self.stage2(x_list)
        x_list = [self.transition2[i](y_list[-1]) if self.transition2[i] is not None else y_list[i] for i in range(self.stage3_cfg["NUM_BRANCHES"])]
        y_list = self.stage3(x_list)
        x_list = [self.transition3[i](y_list[-1]) if self.transition3[i] is not None else y_list[i] for i in range(self.stage4_cfg["NUM_BRANCHES"])]
        x = self.stage4(x_list)
        height, width = x[0].size(2), x[0].size(3)
        x1 = F.interpolate(x[1], size=(height, width), mode="bilinear", align_corners=False)
        x2 = F.interpolate(x[2], size=(height, width), mode="bilinear", align_corners=False)
        x3 = F.interpolate(x[3], size=(height, width), mode="bilinear", align_corners=False)
        x = torch.cat([x[0], x1, x2, x3], 1)
        return self._make_head(x, x_skip)

    def init_weights(self, pretrained: str = "") -> None:
        for m in self.modules():
            if isinstance(m, nn.Conv2d):
                nn.init.kaiming_normal_(m.weight, mode="fan_out", nonlinearity="relu")
            elif isinstance(m, nn.BatchNorm2d):
                nn.init.constant_(m.weight, 1)
                nn.init.constant_(m.bias, 0)
        if pretrained and os.path.isfile(pretrained):
            w = torch.load(pretrained, map_location="cpu", weights_only=False)
            self.load_state_dict({k: v for k, v in w.items() if k in self.state_dict()}, strict=False)


def _g0(config: dict, pretrained: str = "", **kwargs: Any) -> _H1:
    model = _H1(config, **kwargs)
    model.init_weights(pretrained)
    return model


_K0 = {
    1: 1, 2: 14, 3: 25, 4: 2, 5: 10, 6: 18, 7: 26, 8: 3, 9: 7, 10: 23,
    11: 27, 20: 4, 21: 8, 22: 24, 23: 28, 24: 5, 25: 13, 26: 21, 27: 29,
    28: 6, 29: 17, 30: 30, 31: 11, 32: 15, 33: 19, 34: 12, 35: 16, 36: 20,
    45: 9, 50: 31, 52: 32, 57: 22,
}

# ── Keypoint mapping & inference helpers  ─────────────────────────

map_keypoints = {
    1: 1, 2: 14, 3: 25, 4: 2, 5: 10, 6: 18, 7: 26, 8: 3, 9: 7, 10: 23,
    11: 27, 20: 4, 21: 8, 22: 24, 23: 28, 24: 5, 25: 13, 26: 21, 27: 29,
    28: 6, 29: 17, 30: 30, 31: 11, 32: 15, 33: 19, 34: 12, 35: 16, 36: 20,
    45: 9, 50: 31, 52: 32, 57: 22
}

# Template keypoints for homography refinement (new-5 style)
TEMPLATE_F0: List[Tuple[float, float]] = [
    (5, 5), (5, 140), (5, 250), (5, 430), (5, 540), (5, 675), (55, 250), (55, 430),
    (110, 340), (165, 140), (165, 270), (165, 410), (165, 540), (527, 5), (527, 253),
    (527, 433), (527, 675), (888, 140), (888, 270), (888, 410), (888, 540), (940, 340),
    (998, 250), (998, 430), (1045, 5), (1045, 140), (1045, 250), (1045, 430), (1045, 540),
    (1045, 675), (435, 340), (615, 340),
]
TEMPLATE_F1: List[Tuple[float, float]] = [
    (2.5, 2.5), (2.5, 139.5), (2.5, 249.5), (2.5, 430.5), (2.5, 540.5), (2.5, 678),
    (54.5, 249.5), (54.5, 430.5), (110.5, 340.5), (164.5, 139.5), (164.5, 269), (164.5, 411),
    (164.5, 540.5), (525, 2.5), (525, 249.5), (525, 430.5), (525, 678), (886.5, 139.5),
    (886.5, 269), (886.5, 411), (886.5, 540.5), (940.5, 340.5), (998, 249.5), (998, 430.5),
    (1048, 2.5), (1048, 139.5), (1048, 249.5), (1048, 430.5), (1048, 540.5), (1048, 678),
    (434.5, 340), (615.5, 340),
]

HOMOGRAPHY_FILL_ONLY_VALID = True
# Step8 (example_miner-style): homography + project template + fill; when True, skip _apply_homography_refinement and use step8 only
STEP8_ENABLED = True
STEP8_FILL_MISSING = True  # True = fill all in-frame warped points; False = only detected indices
KP_THRESHOLD = 0.2  # new-5 style (was 0.3)

# HRNet keypoint input size; smaller = faster, less accurate (540×960 = full)
_KP_H, _KP_W = 540, 960
# _KP_H, _KP_W = 432, 768

def _p0(frames: list) -> torch.Tensor:
    target_size = (_KP_H, _KP_W)
    batch = []
    for frame in frames:
        frame_rgb = cv2.cvtColor(frame, cv2.COLOR_BGR2RGB)
        img = cv2.resize(frame_rgb, (target_size[1], target_size[0]))
        img = img.astype(np.float32) / 255.0
        img = np.transpose(img, (2, 0, 1))
        batch.append(img)
    return torch.from_numpy(np.stack(batch)).float()


def _e0(heatmap: torch.Tensor, scale: int = 2, max_keypoints: int = 1) -> torch.Tensor:
    batch_size, n_channels, height, width = heatmap.shape
    max_pooled = F.max_pool2d(heatmap, 3, stride=1, padding=1)
    local_maxima = max_pooled == heatmap
    masked_heatmap = heatmap * local_maxima
    flat_heatmap = masked_heatmap.view(batch_size, n_channels, -1)
    scores, indices = torch.topk(flat_heatmap, max_keypoints, dim=-1, sorted=False)
    y_coords = torch.div(indices, width, rounding_mode="floor") * scale
    x_coords = (indices % width) * scale
    return torch.stack([x_coords.float(), y_coords.float(), scores], dim=-1)


def _p1(kp_coords: torch.Tensor, kp_threshold: float, w: int, h: int, batch_size: int) -> list:
    kp_np = kp_coords.cpu().numpy()
    batch_results = []
    for batch_idx in range(batch_size):
        kp_dict = {}
        valid_kps = kp_np[batch_idx, :, 0, 2] > kp_threshold
        for ch_idx in np.where(valid_kps)[0]:
            x = float(kp_np[batch_idx, ch_idx, 0, 0]) / w
            y = float(kp_np[batch_idx, ch_idx, 0, 1]) / h
            p = float(kp_np[batch_idx, ch_idx, 0, 2])
            kp_dict[int(ch_idx) + 1] = {"x": x, "y": y, "p": p}
        batch_results.append(kp_dict)
    return batch_results


def _g1(kp_points: dict) -> dict:
    return {_K0[k]: v for k, v in kp_points.items() if k in _K0}


def _i0(frames: list, model: nn.Module, kp_threshold: float, device: str, batch_size: int = 2) -> list:
    results = []
    model_device = next(model.parameters()).device
    use_amp = model_device.type == "cuda"
    for i in range(0, len(frames), batch_size):
        current_batch_size = min(batch_size, len(frames) - i)
        batch_frames = frames[i : i + current_batch_size]
        batch = _p0(batch_frames).to(model_device, non_blocking=True)
        with torch.no_grad():
            with torch.amp.autocast("cuda", enabled=use_amp):
                heatmaps = model(batch)
        kp_coords = _e0(heatmaps[:, :-1, :, :], scale=2, max_keypoints=1)
        batch_results = _p1(kp_coords, kp_threshold, _KP_W, _KP_H, current_batch_size)
        results.extend([_g1(kp) for kp in batch_results])
        del heatmaps, kp_coords, batch
        gc.collect()
        if model_device.type == "cuda":
            torch.cuda.empty_cache()
    return results


def _x0(frames: list, model: nn.Module, kp_threshold: float, device: str = "cpu", batch_size: int = 2) -> list:
    return _i0(frames, model, kp_threshold, device, batch_size)


def _normalize_keypoints_xyp(kp_results: list | None, frames: list, n_keypoints: int) -> list:
    """Produce [(x, y, p), ...] per frame for fix_keypoints_pri thresholding."""
    if not kp_results:
        return []
    keypoints = []
    for i in range(min(len(kp_results), len(frames))):
        kp_dict = kp_results[i]
        h, w = frames[i].shape[:2]
        frame_kps = []
        for idx in range(n_keypoints):
            kp_idx = idx + 1
            x, y, p = 0, 0, 0.0
            if kp_dict and isinstance(kp_dict, dict) and kp_idx in kp_dict:
                d = kp_dict[kp_idx]
                if isinstance(d, dict) and "x" in d:
                    x = int(d["x"] * w)
                    y = int(d["y"] * h)
                    p = float(d.get("p", 0.0))
            frame_kps.append((x, y, p))
        keypoints.append(frame_kps)
    return keypoints


def _n0(keypoints_result: list | None, batch_images: list, n_keypoints: int) -> list:
    keypoints = []
    if not keypoints_result:
        return []
    for frame_number_in_batch, kp_dict in enumerate(keypoints_result):
        if frame_number_in_batch >= len(batch_images):
            break
        frame_keypoints = []
        try:
            height, width = batch_images[frame_number_in_batch].shape[:2]
            if kp_dict and isinstance(kp_dict, dict):
                for idx in range(32):
                    x, y = 0, 0
                    kp_idx = idx + 1
                    if kp_idx in kp_dict:
                        kp_data = kp_dict[kp_idx]
                        if isinstance(kp_data, dict) and "x" in kp_data and "y" in kp_data:
                            x, y = int(kp_data["x"] * width), int(kp_data["y"] * height)
                    frame_keypoints.append((x, y))
            else:
                frame_keypoints = [(0, 0)] * 32
        except (IndexError, ValueError, AttributeError):
            frame_keypoints = [(0, 0)] * 32
        if len(frame_keypoints) < n_keypoints:
            frame_keypoints.extend([(0, 0)] * (n_keypoints - len(frame_keypoints)))
        else:
            frame_keypoints = frame_keypoints[:n_keypoints]
        keypoints.append(frame_keypoints)
    return keypoints


def _fix_keypoints(kps: list, n: int) -> list:
    if len(kps) < n:
        kps += [(0, 0)] * (n - len(kps))
    elif len(kps) > n:
        kps = kps[:n]

    if kps[2] != (0,0) and kps[4] != (0,0) and kps[3] == (0,0):
        kps[3] = kps[4]; kps[4] = (0,0)
    if kps[0] != (0,0) and kps[4] != (0,0) and kps[1] == (0,0):
        kps[1] = kps[4]; kps[4] = (0,0)
    if kps[2] != (0,0) and kps[3] != (0,0) and kps[1] == (0,0) and kps[3][0] > kps[2][0]:
        kps[1] = kps[3]; kps[3] = (0,0)
    if kps[28] != (0,0) and kps[25] == (0,0) and kps[26] != (0,0) and kps[26][0] > kps[28][0]:
        kps[25] = kps[28]; kps[28] = (0,0)
    if kps[24] != (0,0) and kps[28] != (0,0) and kps[25] == (0,0):
        kps[25] = kps[28]; kps[28] = (0,0)
    if kps[24] != (0,0) and kps[27] != (0,0) and kps[26] == (0,0):
        kps[26] = kps[27]; kps[27] = (0,0)
    if kps[28] != (0,0) and kps[23] == (0,0) and kps[20] != (0,0) and kps[20][1] > kps[23][1]:
        kps[23] = kps[20]; kps[20] = (0,0)
    return kps


def _keypoints_to_float(keypoints: list) -> List[List[float]]:
    """Convert keypoints to [[x, y], ...] float format for homography."""
    return [[float(x), float(y)] for x, y in keypoints]


def _keypoints_to_int(keypoints: list) -> List[Tuple[int, int]]:
    """Convert keypoints to [(x, y), ...] integer format."""
    return [(int(round(float(kp[0]))), int(round(float(kp[1])))) for kp in keypoints]


# --- fix_keypoints_pri: select best keypoint config per frame from multiple candidates ---
_FKP_KEYPOINTS: List[Tuple[int, int]] = [
    (5, 5), (5, 140), (5, 250), (5, 430), (5, 540), (5, 675),
    (55, 250), (55, 430), (110, 340), (165, 140), (165, 270), (165, 410), (165, 540),
    (527, 5), (527, 253), (527, 433), (527, 675),
    (888, 140), (888, 270), (888, 410), (888, 540), (940, 340),
    (998, 250), (998, 430), (1045, 5), (1045, 140), (1045, 250), (1045, 430), (1045, 540), (1045, 675),
    (435, 340), (615, 340),
]
_FKP_KEYPOINTS_NP = np.asarray(_FKP_KEYPOINTS, dtype=np.float32)
_FKP_GROUPS = {
    1: [2, 3, 7, 10], 2: [1, 3, 7, 10], 3: [2, 4, 7, 8], 4: [3, 5, 8, 7], 5: [4, 8, 6, 3], 6: [5, 4, 8, 13],
    7: [3, 8, 9, 10], 8: [4, 7, 9, 13], 9: [7, 8, 11, 12], 10: [9, 11, 7, 2], 11: [9, 10, 12, 31], 12: [9, 11, 13, 31],
    13: [9, 12, 8, 5], 14: [15, 31, 32, 16], 15: [31, 16, 32, 14], 16: [31, 15, 32, 17], 17: [31, 16, 32, 15],
    18: [19, 22, 23, 26], 19: [18, 22, 20, 32], 20: [19, 22, 21, 32], 21: [20, 22, 24, 29], 22: [23, 24, 19, 20],
    23: [27, 24, 22, 28], 24: [28, 23, 22, 27], 25: [26, 27, 23, 18], 26: [25, 27, 23, 18], 27: [26, 23, 28, 24],
    28: [27, 24, 29, 23], 29: [28, 30, 24, 21], 30: [29, 28, 24, 21], 31: [15, 16, 32, 14], 32: [15, 31, 16, 14],
}
_FKP_GROUPS_ARRAY = [np.asarray(_FKP_GROUPS[i], dtype=np.int32) - 1 for i in range(1, 33)]
_FKP_BLACKLISTS = [
    [23, 24, 27, 28], [7, 8, 3, 4], [2, 10, 1, 14], [18, 26, 14, 25], [5, 13, 6, 17], [21, 29, 17, 30],
    [10, 11, 2, 3], [10, 11, 2, 7], [12, 13, 4, 5], [12, 13, 5, 8], [18, 19, 26, 27], [18, 19, 26, 23],
    [20, 21, 24, 29], [20, 21, 28, 29], [8, 4, 5, 13], [3, 7, 2, 10], [23, 27, 18, 26], [24, 28, 21, 29],
]
_FKP_PREPARED_BLACKLISTS = [(set(bl), bl[0] - 1, bl[1] - 1) for bl in _FKP_BLACKLISTS]
_FKP_DILATE_KERNEL = cv2.getStructuringElement(cv2.MORPH_RECT, (3, 3))
_FKP_KERNEL_31 = cv2.getStructuringElement(cv2.MORPH_RECT, (31, 31))
_FKP_TEMPLATE_GRAY: Optional[ndarray] = None
_FKP_SHARED_EXECUTOR: Optional[ThreadPoolExecutor] = None
_FKP_PER_KEY_LOCKS: Dict[Any, threading.Lock] = defaultdict(threading.Lock)


class _FKP_MaxSizeCache(OrderedDict):
    def __init__(self, maxlen: int = 500):
        super().__init__()
        self.maxlen = maxlen
        self._lock = threading.Lock()

    def set(self, k: Any, v: Any) -> None:
        with self._lock:
            if k in self:
                self.move_to_end(k)
            self[k] = v
            if len(self) > self.maxlen:
                self.popitem(last=False)

    def get(self, k: Any) -> Any:
        with self._lock:
            return super().get(k)

    def exists(self, k: Any) -> bool:
        with self._lock:
            return k in self


_FKP_CACHED = _FKP_MaxSizeCache()


def _fkp_load_template_gray() -> ndarray:
    global _FKP_TEMPLATE_GRAY
    if _FKP_TEMPLATE_GRAY is None:
        template_path = Path(__file__).parent / "football_pitch_template.png"
        img = cv2.imread(str(template_path), cv2.IMREAD_COLOR)
        if img is not None:
            _FKP_TEMPLATE_GRAY = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)
        else:
            _FKP_TEMPLATE_GRAY = np.zeros((680, 1050), dtype=np.uint8)
    return _FKP_TEMPLATE_GRAY


def _fkp_get_or_compute_masks(key: Any, compute_fn: Any) -> Any:
    lock = _FKP_PER_KEY_LOCKS[key]
    with lock:
        if _FKP_CACHED.exists(key):
            return _FKP_CACHED.get(key)
        masks = compute_fn()
        _FKP_CACHED.set(key, masks)
        return masks


def _fkp_canonical(obj: Any) -> Any:
    if isinstance(obj, np.ndarray):
        return _fkp_canonical(obj.tolist())
    if isinstance(obj, (list, tuple)):
        return tuple(_fkp_canonical(x) for x in obj)
    if isinstance(obj, set):
        return tuple(sorted(_fkp_canonical(x) for x in obj))
    if isinstance(obj, dict):
        return tuple((k, _fkp_canonical(v)) for k, v in sorted(obj.items()))
    return obj


def _fkp_are_collinear(pts: Any, eps: float = 1e-9) -> bool:
    pts = np.asarray(pts)
    if len(pts) < 3:
        return True
    a, b, c = pts[:3]
    area = np.abs(np.cross(b - a, c - a))
    return bool(area < eps)


def _fkp_unique_points(src: Any, dst: Any) -> Any:
    src, dst = np.asarray(src, float), np.asarray(dst, float)
    src_nonzero = ~np.all(np.abs(src) < 1e-9, axis=1)
    dst_nonzero = ~np.all(np.abs(dst) < 1e-9, axis=1)
    valid_mask = src_nonzero & dst_nonzero
    if not valid_mask.any():
        return np.array([]), np.array([])
    src_valid = src[valid_mask]
    dst_valid = dst[valid_mask]
    _, unique_idx = np.unique(src_valid, axis=0, return_index=True)
    unique_idx.sort()
    return src_valid[unique_idx], dst_valid[unique_idx]


def _fkp_apply_transform(M: ndarray, P: Any) -> Tuple[int, int]:
    x, y = P[0], P[1]
    return (int(M[0, 0] * x + M[0, 1] * y + M[0, 2]), int(M[1, 0] * x + M[1, 1] * y + M[1, 2]))


def _fkp_apply_homo_transform(M: ndarray, P: Any) -> Tuple[int, int]:
    x, y = P[0], P[1]
    w = M[2, 0] * x + M[2, 1] * y + M[2, 2]
    x_new = (M[0, 0] * x + M[0, 1] * y + M[0, 2]) / w
    y_new = (M[1, 0] * x + M[1, 1] * y + M[1, 2]) / w
    return (int(x_new), int(y_new))


def _fkp_affine_from_4_points(src_pts: Any, dst_pts: Any) -> ndarray:
    P, Q = np.array(src_pts, dtype=np.float64), np.array(dst_pts, dtype=np.float64)
    x, y = P[:, 0], P[:, 1]
    u, v = Q[:, 0], Q[:, 1]
    A = np.zeros((8, 6), dtype=np.float64)
    A[0::2, 0], A[0::2, 1], A[0::2, 2] = x, y, 1
    A[1::2, 3], A[1::2, 4], A[1::2, 5] = x, y, 1
    b = np.empty(8, dtype=np.float64)
    b[0::2], b[1::2] = u, v
    params, _, _, _ = np.linalg.lstsq(A, b, rcond=None)
    a, b_, e, c, d, f = params
    return np.array([[a, b_, e], [c, d, f], [0, 0, 1]], dtype=np.float64)


def _fkp_four_point_homography(src_pts: Any, dst_pts: Any) -> ndarray:
    src, dst = np.array(src_pts, dtype=np.float64), np.array(dst_pts, dtype=np.float64)
    x, y = src[:, 0], src[:, 1]
    u, v = dst[:, 0], dst[:, 1]
    A = np.zeros((8, 9), dtype=np.float64)
    A[0::2, 0], A[0::2, 1], A[0::2, 2] = -x, -y, -1
    A[0::2, 6], A[0::2, 7], A[0::2, 8] = x * u, y * u, u
    A[1::2, 3], A[1::2, 4], A[1::2, 5] = -x, -y, -1
    A[1::2, 6], A[1::2, 7], A[1::2, 8] = x * v, y * v, v
    _, _, Vt = np.linalg.svd(A)
    h = Vt[-1, :]
    return (h.reshape(3, 3) / h[8]).astype(np.float64)


def _fkp_three_point_affine(P: Any, Q: Any) -> ndarray:
    P, Q = np.array(P, dtype=np.float64), np.array(Q, dtype=np.float64)
    x, y = P[:, 0], P[:, 1]
    u, v = Q[:, 0], Q[:, 1]
    n = P.shape[0]
    A = np.zeros((2 * n, 6), dtype=np.float64)
    A[0::2, 0], A[0::2, 1], A[0::2, 2] = x, y, 1
    A[1::2, 3], A[1::2, 4], A[1::2, 5] = x, y, 1
    b = np.empty(2 * n, dtype=np.float64)
    b[0::2], b[1::2] = u, v
    params, _, _, _ = np.linalg.lstsq(A, b, rcond=None)
    a, b_, e, c, d, f = params
    return np.array([[a, b_, e], [c, d, f], [0, 0, 1]], dtype=np.float64)


def _fkp_line_to_line_transform(P1: Any, P2: Any, Q1: Any, Q2: Any) -> ndarray:
    P1, P2 = np.asarray(P1, dtype=np.float64), np.asarray(P2, dtype=np.float64)
    Q1, Q2 = np.asarray(Q1, dtype=np.float64), np.asarray(Q2, dtype=np.float64)
    v_s, v_t = P2 - P1, Q2 - Q1
    s = np.hypot(v_t[0], v_t[1]) / (np.hypot(v_s[0], v_s[1]) + 1e-12)
    theta = np.arctan2(v_t[1], v_t[0]) - np.arctan2(v_s[1], v_s[0])
    c, s_ = np.cos(theta), np.sin(theta)
    return np.array([
        [s * c, -s * s_, Q1[0] - (s * c * P1[0] - s * s_ * P1[1])],
        [s * s_, s * c, Q1[1] - (s * s_ * P1[0] + s * c * P1[1])],
        [0, 0, 1]
    ], dtype=np.float64)


def _fkp_robust_transform(src_pts: Any, dst_pts: Any) -> Any:
    src, dst = _fkp_unique_points(src_pts, dst_pts)
    n = len(src)
    if n >= 4:
        if _fkp_are_collinear(src) or _fkp_are_collinear(dst):
            H = _fkp_affine_from_4_points(src, dst)
            return lambda pt: _fkp_apply_transform(H, pt)
        H = _fkp_four_point_homography(src, dst)
        return lambda pt: _fkp_apply_homo_transform(H, pt)
    elif n == 3:
        H = _fkp_three_point_affine(src, dst)
        return lambda pt: _fkp_apply_transform(H, pt)
    elif n == 2:
        H = _fkp_line_to_line_transform(src[0], src[1], dst[0], dst[1])
        return lambda pt: _fkp_apply_transform(H, pt)
    elif n == 1:
        H = np.eye(3)
        H[:2, 2] = dst[0] - src[0]
        return lambda pt: _fkp_apply_transform(H, pt)
    return lambda pt: _fkp_apply_transform(np.eye(3), pt)


def _fkp_pick_pt(points: Any) -> List[int]:
    if not points:
        return []
    pts_arr = np.asarray(points, dtype=np.int32)
    seen = np.zeros(32, dtype=bool)
    valid_mask = (pts_arr >= 0) & (pts_arr < 32)
    seen[pts_arr[valid_mask]] = True
    out_seen = np.zeros(32, dtype=bool)
    out: List[int] = []
    for p in pts_arr[valid_mask]:
        neigh = _FKP_GROUPS_ARRAY[p]
        candidates = neigh[~seen[neigh] & ~out_seen[neigh]]
        out_seen[candidates] = True
        out.extend(candidates.tolist())
    return out


def _fkp_is_include(kp: Any, all_kps: Any) -> bool:
    for kps in all_kps:
        if np.sum(np.abs(np.array(kps) - np.array(kp))) <= 2:
            return True
    return False


def _fkp_get_edge_mask(x: float, y: float, W: int, H: int, t: int = 100) -> int:
    mask = 0
    if x <= t:
        mask |= 1
    if x >= W - t:
        mask |= 2
    if y <= t:
        mask |= 4
    if y >= H - t:
        mask |= 8
    return mask


def _fkp_both_points_same_direction_fast(A: Any, B: Any, W: int, H: int, t: int = 100) -> bool:
    mask_a = _fkp_get_edge_mask(A[0], A[1], W, H, t)
    if mask_a == 0:
        return False
    mask_b = _fkp_get_edge_mask(B[0], B[1], W, H, t)
    return (mask_a & mask_b) != 0


def _fkp_project_image(image: ndarray, src_kps: Any, dst_kps: Any, w: int, h: int) -> ndarray:
    src_arr = np.array(src_kps, dtype=np.float32)
    dst_arr = np.array(dst_kps, dtype=np.float32)
    valid_mask = ~((dst_arr[:, 0] == 0) & (dst_arr[:, 1] == 0))
    H, _ = cv2.findHomography(src_arr[valid_mask], dst_arr[valid_mask])
    if H is None:
        raise ValueError("Homography not found")
    return cv2.warpPerspective(image, H, (w, h))


def _fkp_extract_masks(image: ndarray) -> tuple:
    gray = image if image.ndim == 2 else cv2.cvtColor(image, cv2.COLOR_BGR2GRAY)
    _, mask_ground = cv2.threshold(gray, 10, 1, cv2.THRESH_BINARY)
    _, mask_lines = cv2.threshold(gray, 200, 1, cv2.THRESH_BINARY)
    return mask_ground, mask_lines


def _fkp_convert_to_gray(image: ndarray) -> ndarray:
    gray = cv2.cvtColor(image, cv2.COLOR_BGR2GRAY)
    gray = cv2.morphologyEx(gray, cv2.MORPH_TOPHAT, _FKP_KERNEL_31)
    gray = cv2.GaussianBlur(gray, (5, 5), 0)
    return cv2.Canny(gray, 30, 100)


def _fkp_evaluate_keypoints_for_frame(
    frame_keypoints: Any, frame_index: int, h: int, w: int, check_frame_list: List[ndarray], precomputed_key: Any = None
) -> float:
    key = precomputed_key or _fkp_canonical((frame_keypoints, w, h))
    floor_markings = _fkp_load_template_gray()

    def compute_masks(fkp: Any, ww: int, hh: int) -> Any:
        try:
            non_idxs_set = {i + 1 for i, kpt in enumerate(fkp) if kpt[0] != 0 or kpt[1] != 0}
            for bl_set, idx0, idx1 in _FKP_PREPARED_BLACKLISTS:
                if non_idxs_set.issubset(bl_set):
                    if _fkp_both_points_same_direction_fast(fkp[idx0], fkp[idx1], ww, hh):
                        return None, 0, None
            warped = _fkp_project_image(floor_markings, _FKP_KEYPOINTS, fkp, ww, hh)
            mask_ground, mask_lines = _fkp_extract_masks(warped)
            ys, xs = np.where(mask_lines == 1)
            if len(xs) == 0:
                bbox = None
            else:
                bbox = (xs.min(), ys.min(), xs.max(), ys.max())
            bbox_area = (bbox[2] - bbox[0]) * (bbox[3] - bbox[1]) if bbox else 1
            if (bbox_area / (hh * ww)) < 0.2:
                return None, 0, None
            return mask_lines, int(cv2.countNonZero(mask_lines)), mask_ground
        except Exception:
            return None, 0, None

    try:
        mask_exp, pixels_on_lines, mask_ground = _fkp_get_or_compute_masks(
            key, lambda: compute_masks(frame_keypoints, w, h)
        )
        if mask_exp is None or pixels_on_lines == 0 or mask_ground is None:
            return 0.0
        if frame_index >= len(check_frame_list):
            return 0.0
        scale = max(1, _FKP_EVAL_DOWNSCALE)
        if scale > 1 and h > scale and w > scale:
            h_s, w_s = h // scale, w // scale
            frame_s = cv2.resize(check_frame_list[frame_index], (w_s, h_s), interpolation=cv2.INTER_AREA)
            mask_ground_s = cv2.resize(mask_ground, (w_s, h_s), interpolation=cv2.INTER_NEAREST)
            mask_exp_s = cv2.resize(mask_exp, (w_s, h_s), interpolation=cv2.INTER_NEAREST)
            pixels_on_lines = cv2.countNonZero(mask_exp_s)
            if pixels_on_lines == 0:
                return 0.0
            work_buffer = np.zeros((h_s, w_s), dtype=np.uint8)
            cv2.bitwise_and(frame_s, frame_s, dst=work_buffer, mask=mask_ground_s)
            cv2.dilate(work_buffer, _FKP_DILATE_KERNEL, dst=work_buffer, iterations=2)
            cv2.threshold(work_buffer, 0, 255, cv2.THRESH_BINARY, dst=work_buffer)
            pixels_predicted = cv2.countNonZero(work_buffer)
            cv2.bitwise_and(work_buffer, mask_exp_s, dst=work_buffer)
            pixels_overlapping = cv2.countNonZero(work_buffer)
        else:
            work_buffer = np.zeros((h, w), dtype=np.uint8)
            cv2.bitwise_and(check_frame_list[frame_index], check_frame_list[frame_index], dst=work_buffer, mask=mask_ground)
            cv2.dilate(work_buffer, _FKP_DILATE_KERNEL, dst=work_buffer, iterations=3)
            cv2.threshold(work_buffer, 0, 255, cv2.THRESH_BINARY, dst=work_buffer)
            pixels_predicted = cv2.countNonZero(work_buffer)
            cv2.bitwise_and(work_buffer, mask_exp, dst=work_buffer)
            pixels_overlapping = cv2.countNonZero(work_buffer)
        pixels_rest = pixels_predicted - pixels_overlapping
        total_pixels = pixels_predicted + pixels_on_lines - pixels_overlapping
        if total_pixels > 0 and (pixels_rest / total_pixels) > 0.9:
            return 0.0
        return pixels_overlapping / (pixels_on_lines + 1e-8)
    except Exception:
        pass
    return 0.0


def _fkp_make_possible_keypoints(all_keypoints: Any, frame_width: int, frame_height: int, limit: int | None = None) -> List[Any]:
    if not all_keypoints:
        return []
    max_candidates = limit if limit is not None else _FKP_MAX_CANDIDATES_PER_FRAME
    results: List[Any] = []
    for keypoints in all_keypoints:
        if len(results) >= max_candidates:
            break
        kps = _keypoints_to_int(keypoints)
        arr = np.asarray(kps, dtype=np.int32)
        if arr.ndim != 2 or arr.shape[1] != 2:
            continue
        mask = (arr[:, 0] != 0) & (arr[:, 1] != 0)
        non_zero_count = int(mask.sum())
        if non_zero_count > 4:
            if not _fkp_is_include(kps, results):
                results.append(kps)
            continue
        if non_zero_count < 2:
            continue
        # Only use actually detected keypoints; do not add projected/inferred points
        if not _fkp_is_include(kps, results):
            results.append(kps)
    return results


def _fkp_get_executor(max_workers: int) -> ThreadPoolExecutor:
    global _FKP_SHARED_EXECUTOR
    if _FKP_SHARED_EXECUTOR is None:
        _FKP_SHARED_EXECUTOR = ThreadPoolExecutor(max_workers=max_workers)
    return _FKP_SHARED_EXECUTOR


def _fkp_evaluates(
    jobs: Any, h: int, w: int, total_frames: int, time_left: float, check_frame_list: List[ndarray]
) -> List[Any]:
    start = time.time()
    results = [[(0, 0)] * 32 for _ in range(total_frames)]
    if len(jobs) == 0:
        return results
    unique_jobs: List[Any] = []
    seen: set = set()
    for (job, frame_index) in jobs:
        try:
            key_bytes = np.asarray(job, dtype=np.int32).tobytes() if not isinstance(job, np.ndarray) else (job.astype(np.int32).tobytes() if job.dtype != np.int32 else job.tobytes())
            sig = (frame_index, key_bytes)
            if sig in seen:
                continue
            seen.add(sig)
            unique_jobs.append((job, frame_index, key_bytes))
        except Exception:
            continue
    if len(unique_jobs) <= 10:
        scores_unique = [
            _fkp_evaluate_keypoints_for_frame(job, frame_index, h, w, check_frame_list, (key_bytes, w, h))
            for (job, frame_index, key_bytes) in unique_jobs
        ]
    else:
        cpu_count = max(1, (os.cpu_count() or 1))
        max_workers = min(max(2, cpu_count), 8)
        chunk_size = 24
        scores_unique = []
        ex = _fkp_get_executor(max_workers)
        time_left -= (time.time() - start)
        for i in range(0, len(unique_jobs), chunk_size):
            start = time.time()
            chunk = unique_jobs[i : min(i + chunk_size, len(unique_jobs))]
            scores_unique.extend(ex.map(
                lambda pair: _fkp_evaluate_keypoints_for_frame(pair[0], pair[1], h, w, check_frame_list, (pair[2], w, h)),
                chunk,
            ))
            time_left -= (time.time() - start)
            if time_left <= 0:
                unique_jobs = unique_jobs[: min(i + chunk_size, len(unique_jobs))]
                break
    scores = np.full(total_frames, 0.0, dtype=np.float32)
    for score, (k, frame_index, _) in zip(scores_unique, unique_jobs):
        if score > scores[frame_index]:
            scores[frame_index] = score
            results[frame_index] = k
    return results


def _fkp_normalize_results(frame_results: Any, threshold: float) -> List[Any]:
    if not frame_results:
        return []
    results_array: List[Any] = []
    for result in frame_results:
        pad_len = 32 - len(result)
        if pad_len > 0:
            result = list(result) + [(0, 0, 0.0)] * pad_len
        result = result[:32]
        arr = np.array(result, dtype=np.float32)
        if arr.size == 0:
            results_array.append([(0, 0)] * 32)
            continue
        if arr.ndim == 2 and arr.shape[1] >= 3:
            mask = arr[:, 2] > threshold
            scaled = np.where(mask[:, None], arr[:, :2].copy(), 0)
            results_array.append([(int(x), int(y)) for x, y in scaled])
        else:
            results_array.append([(0, 0)] * 32)
    return results_array


def fix_keypoints_pri(
    results_frames: Any, frame_width: int, frame_height: int, time_left: float, check_frame_list: List[ndarray]
) -> List[Any]:
    start = time.time()
    max_frames = len(results_frames)
    all_possible = [None] * max_frames
    for i in range(max_frames):
        all_possible[i] = _fkp_make_possible_keypoints(results_frames[i], frame_width, frame_height)
    default_kps: List[Any] = []
    for i in range(len(all_possible)):
        default_kps.append(all_possible[i][0] if all_possible[i] else [(0, 0)] * 32)
    total_jobs: List[Any] = []
    is_end = [0] * len(all_possible)
    while is_end.count(-1) != len(is_end):
        for frame_index in range(max_frames):
            if is_end[frame_index] == -1:
                continue
            if is_end[frame_index] == len(all_possible[frame_index]):
                is_end[frame_index] = -1
                continue
            total_jobs.append((all_possible[frame_index][is_end[frame_index]], frame_index))
            is_end[frame_index] += 1
    time_left -= (time.time() - start)
    if time_left <= 0:
        return default_kps
    return _fkp_evaluates(total_jobs, frame_height, frame_width, max_frames, time_left, check_frame_list)


def _step8_one_frame_kp(
    kps: list,
    frame_width: int,
    frame_height: int,
    fill_missing: bool,
    n_keypoints: int = 32,
) -> Optional[List[List[float]]]:
    """Step8 (example_miner _z1): homography from template to frame, project all template points, optionally fill missing."""
    if not isinstance(kps, list) or len(kps) != n_keypoints or frame_width <= 0 or frame_height <= 0:
        return None
    if n_keypoints != 32 or len(TEMPLATE_F0) != 32 or len(TEMPLATE_F1) != 32:
        return None
    filtered_src: List[Tuple[float, float]] = []
    filtered_dst: List[Tuple[float, float]] = []
    valid_indices: List[int] = []
    for idx, kp in enumerate(kps):
        if not isinstance(kp, (list, tuple)) or len(kp) < 2:
            continue
        try:
            x, y = float(kp[0]), float(kp[1])
        except (TypeError, ValueError):
            continue
        if x == 0.0 and y == 0.0:
            continue
        if idx >= len(TEMPLATE_F1):
            continue
        filtered_src.append(TEMPLATE_F1[idx])
        filtered_dst.append((x, y))
        valid_indices.append(idx)
    if len(filtered_src) < 4:
        return None
    src_np = np.array(filtered_src, dtype=np.float32)
    dst_np = np.array(filtered_dst, dtype=np.float32)
    H_corrected, _ = cv2.findHomography(src_np, dst_np)
    if H_corrected is None:
        return None
    fk_np = np.array(TEMPLATE_F0, dtype=np.float32).reshape(1, -1, 2)
    projected_np = cv2.perspectiveTransform(fk_np, H_corrected)[0]
    valid_indices_set = set(valid_indices)
    adjusted_kps: List[List[float]] = [[0.0, 0.0] for _ in range(n_keypoints)]
    for idx in range(n_keypoints):
        x, y = float(projected_np[idx][0]), float(projected_np[idx][1])
        if not (0 <= x < frame_width and 0 <= y < frame_height):
            continue
        if fill_missing or idx in valid_indices_set:
            adjusted_kps[idx] = [x, y]
    return adjusted_kps


def _apply_homography_refinement(
    keypoints: List[List[float]],
    frame: np.ndarray,
    n_keypoints: int,
) -> List[List[float]]:
    """Refine keypoints using homography from template to frame (new-5 style)."""
    if n_keypoints != 32 or len(TEMPLATE_F0) != 32 or len(TEMPLATE_F1) != 32:
        return keypoints
    frame_height, frame_width = frame.shape[:2]
    valid_src: List[Tuple[float, float]] = []
    valid_dst: List[Tuple[float, float]] = []
    valid_indices: List[int] = []
    for kp_idx, kp in enumerate(keypoints):
        if kp and len(kp) >= 2:
            x, y = float(kp[0]), float(kp[1])
            if not (abs(x) < 1e-6 and abs(y) < 1e-6) and 0 <= x < frame_width and 0 <= y < frame_height:
                valid_src.append(TEMPLATE_F1[kp_idx])
                valid_dst.append((x, y))
                valid_indices.append(kp_idx)
    if len(valid_src) < 4:
        return keypoints
    src_pts = np.array(valid_src, dtype=np.float32)
    dst_pts = np.array(valid_dst, dtype=np.float32)
    H, _ = cv2.findHomography(src_pts, dst_pts)
    if H is None:
        return keypoints
    all_template_points = np.array(TEMPLATE_F0, dtype=np.float32).reshape(-1, 1, 2)
    adjusted_points = cv2.perspectiveTransform(all_template_points, H)
    adjusted_points = adjusted_points.reshape(-1, 2)
    adj_x = adjusted_points[:32, 0]
    adj_y = adjusted_points[:32, 1]
    valid_mask = (adj_x >= 0) & (adj_y >= 0) & (adj_x < frame_width) & (adj_y < frame_height)
    valid_indices_set = set(valid_indices)
    adjusted_kps: List[List[float]] = [[0.0, 0.0] for _ in range(32)]
    for i in np.where(valid_mask)[0]:
        if not HOMOGRAPHY_FILL_ONLY_VALID or i in valid_indices_set:
            adjusted_kps[i] = [float(adj_x[i]), float(adj_y[i])]
    return adjusted_kps


def _c1(keypoints: list) -> list:
    return [[round(float(x), 1), round(float(y), 1)] for x, y in keypoints]


def _l0(model_dir: Path, device: str | None = None, config_name: str = "hrnetv2_w48.yaml", weights_subdir: str | None = None) -> nn.Module:
    if device is None:
        device = "cuda" if torch.cuda.is_available() else "cpu"
    config_path = model_dir / config_name
    weights_path = (model_dir / weights_subdir / "keypoint") if weights_subdir else (model_dir / "keypoint")
    if not config_path.exists():
        raise FileNotFoundError(f"Keypoint config not found: {config_path}")
    if not weights_path.exists():
        raise FileNotFoundError(f"Keypoint weights not found: {weights_path}")
    with open(config_path) as f:
        cfg = yaml.safe_load(f)
    loaded = torch.load(weights_path, map_location=device, weights_only=False)
    state = loaded.get("state_dict", loaded) if isinstance(loaded, dict) else loaded
    if not isinstance(state, dict):
        raise ValueError(f"Keypoint weights must be state_dict or dict with 'state_dict'; got {type(state)}")
    if state and next(iter(state.keys()), "").startswith("module."):
        state = {k.replace("module.", "", 1): v for k, v in state.items()}
    def _remap_head(k: str) -> str:
        if k.startswith("head.0."):
            return "head." + k[7:]
        return k
    state = {_remap_head(k): v for k, v in state.items()}
    model = _g0(cfg)
    model.load_state_dict(state, strict=True)
    model.to(device)
    model.eval()
    return model

_C0 = 0  
_C1 = 1  
_C2 = 2  
_C3 = 3  
_CLS_TO_VALIDATOR: dict[int, int] = {_C2: 0, _C3: 1, _C1: 2, _C0: 3}

_B0: float = 0.25
_B1: bool = True
_B2: bool = False
_B3: bool = False
_B4: bool = False
_B5: bool = True

_D0 = 640
_D0_PERSON = 640
_TRACK_IOU_THRESH = 0.3
_TRACK_IOU_HIGH = 0.4
_TRACK_IOU_LOW = 0.2
_TRACK_MAX_AGE = 3
_TRACK_USE_VELOCITY = True
_D1 = 0.3
_T0 = 0.5
_R0 = 5
_R1 = 0.10
_R2 = 0.70
_q0 = 0.0
_q1 = 0.0

_P0 = True

_E0: bool = True
_E1: bool = True

_BX_BS: bool = 16
_KP_BS: int = 16

_A0: bool = False
_S0 = 8

_G0: bool = True
_G1 = 5
_G2 = 4
_G3 = 3
_G6: bool = False
_G7: bool = True
_G5: bool = True
_G8: bool = True

ENABLE_KEYPOINT_CONVERT: bool = False
_U0 = ENABLE_KEYPOINT_CONVERT
_J0 = True
_J1 = True
_J2: list[float] = [0.3, 0.5]
_J3: int = 20
_J4 = True
_J5: float = 50.0
_J6: int = 2
_W0: list[int] = [4, 9, 10, 11, 12, 17, 18, 19, 20, 28]
_W1: list[int] = [13, 14, 15]
_W2: list[int] = [5, 16, 29]
_W3: list[int] = [4, 9, 10, 11, 12, 17, 18, 19, 20, 28]
_W4: list[int] = [13, 14, 15]
_W5: list[int] = [5, 16, 29]
_KP16_WEIGHT: int = 8
_INDICES_H3_VS_H1: set[int] = {5, 13, 14, 15, 16, 29}
_INDICES_H3_VS_H2: set[int] = {4, 9, 10, 11, 12, 17, 18, 19, 20, 28}
_ALWAYS_INCLUDE_INDICES: tuple[int, ...] = (5, 16, 29)
_MASK_RETRY_ERRORS: tuple[str, ...] = ("A projected line is too wide", "Projected ground should not be rectangular")
# Keypoint refinement speed/quality
_FKP_FAST_MODE: bool = True
_FKP_THRESHOLDS: tuple[float, ...] = (0.2, 0.4, 0.6, 0.8)
_FKP_SINGLE_THRESHOLD: float = 0.4
_FKP_MAX_CANDIDATES_PER_FRAME: int = 2
_FKP_TIME_BUDGET_SEC: float = 2.5
_FKP_EVAL_DOWNSCALE: int = 2
_Z8_MIN_BATCH_FRAMES: int = 6
_Z8_MAX_PROBLEMATIC_PER_BATCH: int = 8
_STEP0_ENABLED: bool = True
_STEP0_PROXIMITY_PX: float = 30.0
_STEP5_2_RIGHT_QUAD_HALFLENGTH: float = 200.0
_STEP5_2_8PX_COARSE_STEP: int = 10
_STEP5_2_8PX_REFINE_WINDOW: int = 10
_STEP5_2_ROI_MARGIN: int = 10
_STEP5_2_LONGEST_SEGMENT_MAX_PTS: int = 28
_STEP5_2_8PX_HALFRES: bool = True
_STEP5_2_8PX_REFINE_PASS: bool = True
_STEP5_2_HEAVY_SEARCH_FLAG: bool = True
_F0: list[tuple[float, float]] = [
    (5, 5), (5, 140), (5, 250), (5, 430), (5, 540), (5, 675),
    (55, 250), (55, 430), (110, 340), (165, 140), (165, 270),
    (165, 410), (165, 540), (527, 5), (527, 253), (527, 433),
    (527, 675), (888, 140), (888, 270), (888, 410), (888, 540),
    (940, 340), (998, 250), (998, 430), (1045, 5), (1045, 140),
    (1045, 250), (1045, 430), (1045, 540), (1045, 675),
    (435, 340), (615, 340),
]
_F1: list[tuple[float, float]] = [
    (2.5, 2.5), (2.5, 139.5), (2.5, 249.5), (2.5, 430.5), (2.5, 540.5), (2.5, 678.0),
    (54.5, 249.5), (54.5, 430.5), (110.5, 340.5), (164.5, 139.5), (164.5, 269.0),
    (164.5, 411.0), (164.5, 540.5), (525.0, 2.5), (525.0, 249.5), (525.0, 430.5),
    (525.0, 678.0), (886.5, 139.5), (886.5, 269.0), (886.5, 411.0), (886.5, 540.5),
    (940.5, 340.5), (998.0, 249.5), (998.0, 430.5), (1048.0, 2.5), (1048.0, 139.5),
    (1048.0, 249.5), (1048.0, 430.5), (1048.0, 540.5), (1048.0, 678.0),
    (434.5, 340.0), (615.5, 340.0),
]
_I0 = 5
_I1 = 29
_I2 = 0
_I3 = 24
_N0 = len(_F0)


def _step0_remove_close_keypoints(kps: list[list[float]], proximity_px: float = 30.0) -> int:
    n = len(kps)
    if n == 0:
        return 0

    def _valid(i: int) -> bool:
        if i >= n or not isinstance(kps[i], (list, tuple)) or len(kps[i]) < 2:
            return False
        x, y = float(kps[i][0]), float(kps[i][1])
        return not (x == 0.0 and y == 0.0)

    valid_indices = [i for i in range(n) if _valid(i)]
    if len(valid_indices) < 2:
        return 0
    to_remove: set[int] = set()
    for ii in range(len(valid_indices)):
        a = valid_indices[ii]
        ax, ay = float(kps[a][0]), float(kps[a][1])
        for jj in range(ii + 1, len(valid_indices)):
            b = valid_indices[jj]
            bx, by = float(kps[b][0]), float(kps[b][1])
            if math.hypot(ax - bx, ay - by) <= proximity_px:
                to_remove.add(a)
                to_remove.add(b)
    for idx in to_remove:
        kps[idx] = [0.0, 0.0]
    return len(to_remove)


class _Xe(Exception):
    pass


def _y0() -> ndarray:
    template_path = Path(__file__).parent / "football_pitch_template.png"
    img = cv2.imread(str(template_path), cv2.IMREAD_COLOR)
    if img is None:
        return np.zeros((720, 1280, 3), dtype=np.uint8)
    return img


def _y1(mask: ndarray) -> bool:
    contours, _ = cv2.findContours(mask, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)
    for cnt in contours:
        _, _, w, h = cv2.boundingRect(cnt)
        if w == 0 or h == 0:
            continue
        if min(w, h) / max(w, h) >= 1.0:
            return True
    return False


def _y2(ground_mask: ndarray, line_mask: ndarray) -> None:
    if ground_mask.sum() == 0:
        raise _Xe("No projected ground (empty mask)")
    pts = cv2.findNonZero(ground_mask)
    if pts is None:
        raise _Xe("No projected ground (empty mask)")
    _, _, w, h = cv2.boundingRect(pts)
    if cv2.countNonZero(ground_mask) == w * h:
        raise _Xe("Projected ground should not be rectangular")
    n_labels, _ = cv2.connectedComponents(ground_mask)
    if n_labels - 1 > 1:
        raise _Xe("Projected ground should be a single object")
    if ground_mask.sum() / ground_mask.size >= 0.9:
        raise _Xe("Projected ground covers too much of the image")
    if line_mask.sum() == 0:
        raise _Xe("No projected lines")
    if line_mask.sum() == line_mask.size:
        raise _Xe("Projected lines cover the entire image")
    if _y1(line_mask):
        raise _Xe("A projected line is too wide")


def _y3(pts: ndarray) -> bool:
    def _ccw(a: tuple, b: tuple, c: tuple) -> bool:
        return (c[1] - a[1]) * (b[0] - a[0]) > (b[1] - a[1]) * (c[0] - a[0])

    def _intersect(p1: tuple, p2: tuple, q1: tuple, q2: tuple) -> bool:
        return (_ccw(p1, q1, q2) != _ccw(p2, q1, q2)) and (_ccw(p1, p2, q1) != _ccw(p1, p2, q2))

    p = pts.reshape(-1, 2)
    if len(p) < 4:
        return False
    edges = [(p[0], p[1]), (p[1], p[2]), (p[2], p[3]), (p[3], p[0])]
    return _intersect(*edges[0], *edges[2]) or _intersect(*edges[1], *edges[3])


def _y4(
    template: ndarray,
    src_kps: list[tuple[float, float]],
    dst_kps: list[tuple[float, float]],
    frame_width: int,
    frame_height: int,
) -> ndarray:
    src = np.array(src_kps, dtype=np.float32)
    dst = np.array(dst_kps, dtype=np.float32)
    H, _ = cv2.findHomography(src, dst)
    if H is None:
        raise ValueError("Homography computation failed")
    warped = cv2.warpPerspective(template, H, (frame_width, frame_height))
    corner_indices = [_I0, _I1, _I3, _I2]
    if len(src_kps) > max(corner_indices):
        src_corners = np.array(
            [[src_kps[i][0], src_kps[i][1]] for i in corner_indices],
            dtype=np.float32,
        ).reshape(1, 4, 2)
        proj_corners = cv2.perspectiveTransform(src_corners, H)[0]
        if _y3(proj_corners):
            raise _Xe("Projection twisted!")
    return warped


def _y5(warped: ndarray) -> tuple[ndarray, ndarray]:
    gray = cv2.cvtColor(warped, cv2.COLOR_BGR2GRAY)
    _, m_ground = cv2.threshold(gray, 10, 255, cv2.THRESH_BINARY)
    _, m_lines = cv2.threshold(gray, 200, 255, cv2.THRESH_BINARY)
    ground_bin = (m_ground > 0).astype(np.uint8)
    lines_bin = (m_lines > 0).astype(np.uint8)
    _y2(ground_bin, lines_bin)
    return ground_bin, lines_bin


def _y6(frame: ndarray, ground_mask: ndarray) -> ndarray:
    gray = cv2.cvtColor(frame, cv2.COLOR_BGR2GRAY)
    kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (31, 31))
    gray = cv2.morphologyEx(gray, cv2.MORPH_TOPHAT, kernel)
    gray = cv2.GaussianBlur(gray, (5, 5), 0)
    edges = cv2.Canny(gray, 30, 100)
    edges_on_ground = cv2.bitwise_and(edges, edges, mask=ground_mask)
    dilate_kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (3, 3))
    edges_on_ground = cv2.dilate(edges_on_ground, dilate_kernel, iterations=3)
    return (edges_on_ground > 0).astype(np.uint8)


def _fit_line_to_points(points: list[tuple[float, float]]) -> tuple[float, float, float] | None:
    if len(points) < 2:
        return None
    pts = np.array(points, dtype=np.float64)
    x = pts[:, 0]
    y = pts[:, 1]
    mx, my = float(x.mean()), float(y.mean())
    u = x - mx
    v = y - my
    n = len(pts)
    cxx = (u * u).sum() / n
    cxy = (u * v).sum() / n
    cyy = (v * v).sum() / n
    trace = cxx + cyy
    diff = cxx - cyy
    lambda_small = (trace - np.sqrt(diff * diff + 4.0 * cxy * cxy)) * 0.5
    a = float(cxy)
    b = float(lambda_small - cxx)
    norm = np.sqrt(a * a + b * b)
    if norm < 1e-12:
        a, b = 1.0, 0.0
    else:
        a, b = a / norm, b / norm
    c = -(a * mx + b * my)
    return (a, b, c)


def _line_intersection(
    a1: float, b1: float, c1: float,
    a2: float, b2: float, c2: float,
) -> tuple[float, float] | None:
    det = a1 * b2 - a2 * b1
    if abs(det) < 1e-12:
        return None
    x = (b1 * c2 - b2 * c1) / det
    y = (a2 * c1 - a1 * c2) / det
    return (float(x), float(y))


def _line_through_two_points(x1: float, y1: float, x2: float, y2: float) -> tuple[float, float, float]:
    a = y2 - y1
    b = -(x2 - x1)
    c = (x2 - x1) * y1 - (y2 - y1) * x1
    return (a, b, c)


def _frame_line_edges(frame: ndarray) -> ndarray:
    gray = cv2.cvtColor(frame, cv2.COLOR_BGR2GRAY)
    kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (31, 31))
    gray = cv2.morphologyEx(gray, cv2.MORPH_TOPHAT, kernel)
    gray = cv2.GaussianBlur(gray, (5, 5), 0)
    return cv2.Canny(gray, 30, 100)


def _dilate_uint8_full_frame(frame: ndarray) -> ndarray:
    edges = _frame_line_edges(frame)
    dilate_kernel = cv2.getStructuringElement(cv2.MORPH_RECT, (3, 3))
    dilated = cv2.dilate(edges, dilate_kernel, iterations=3)
    return ((dilated > 0).astype(np.uint8)) * 255


def _clip_segment_to_rect(
    x1: float, y1: float, x2: float, y2: float,
    w: int, h: int,
) -> tuple[tuple[float, float], tuple[float, float]] | None:
    dx, dy = x2 - x1, y2 - y1
    pts: list[tuple[float, float]] = []
    if 0 <= x1 <= w and 0 <= y1 <= h:
        pts.append((x1, y1))
    if 0 <= x2 <= w and 0 <= y2 <= h:
        pts.append((x2, y2))
    if abs(dx) >= 1e-12:
        for x_edge in (0.0, float(w - 1)):
            t = (x_edge - x1) / dx
            if 0 <= t <= 1:
                y = y1 + t * dy
                if 0 <= y <= h - 1:
                    pts.append((x_edge, y))
    if abs(dy) >= 1e-12:
        for y_edge in (0.0, float(h - 1)):
            t = (y_edge - y1) / dy
            if 0 <= t <= 1:
                x = x1 + t * dx
                if 0 <= x <= w - 1:
                    pts.append((x, y_edge))
    if len(pts) < 2:
        if len(pts) == 1:
            return (pts[0], pts[0])
        return None
    pts_sorted = sorted(pts, key=lambda p: p[0])
    return (pts_sorted[0], pts_sorted[-1])


def _segment_fully_inside_mask(
    p1: tuple[int, int],
    p2: tuple[int, int],
    mask: ndarray,
) -> bool:
    h, w = mask.shape[:2]
    x1, y1 = p1[0], p1[1]
    x2, y2 = p2[0], p2[1]
    n = max(abs(x2 - x1), abs(y2 - y1), 1)
    for k in range(n + 1):
        t = k / n
        x = int(round(x1 + t * (x2 - x1)))
        y = int(round(y1 + t * (y2 - y1)))
        if x < 0 or x >= w or y < 0 or y >= h:
            return False
        if mask[y, x] == 0:
            return False
    return True


def _longest_segment_fully_inside_mask(
    mask: ndarray,
    contour_points: ndarray,
) -> tuple[tuple[int, int], tuple[int, int]] | None:
    pts = contour_points.reshape(-1, 2)
    n_pts = len(pts)
    if n_pts < 2:
        return None
    best_len_sq = -1.0
    best_p1, best_p2 = None, None
    for i in range(n_pts):
        for j in range(i + 1, n_pts):
            p1 = (int(pts[i][0]), int(pts[i][1]))
            p2 = (int(pts[j][0]), int(pts[j][1]))
            if not _segment_fully_inside_mask(p1, p2, mask):
                continue
            d_sq = (pts[i][0] - pts[j][0]) ** 2 + (pts[i][1] - pts[j][1]) ** 2
            if d_sq > best_len_sq:
                best_len_sq = d_sq
                best_p1, best_p2 = p1, p2
    if best_p1 is not None and best_p2 is not None:
        return (best_p1, best_p2)
    return None


def _line_segment_for_drawing(
    a: float, b: float, c: float, w: int, h: int,
) -> tuple[tuple[float, float], tuple[float, float]] | None:
    pts: list[tuple[float, float]] = []
    if abs(b) >= 1e-12:
        for x in (0.0, float(w - 1)):
            y = -(a * x + c) / b
            if -50 <= y <= h + 50:
                pts.append((x, y))
    if abs(a) >= 1e-12:
        for y in (0.0, float(h - 1)):
            x = -(b * y + c) / a
            if -50 <= x <= w + 50:
                pts.append((x, y))
    if len(pts) < 2:
        return None
    seen: set[tuple[float, float]] = set()
    unique = []
    for p in pts:
        key = (round(p[0], 2), round(p[1], 2))
        if key not in seen:
            seen.add(key)
            unique.append(p)
    if len(unique) < 2:
        return None
    unique.sort(key=lambda p: (p[0], p[1]))
    return (unique[0], unique[-1])


def _y7() -> dict[int, int]:
    return {i: 2 for i in _W0}


def _y8() -> dict[int, int]:
    m: dict[int, int] = {}
    for i in _W1:
        m[i] = 3
    for i in _W2:
        m[i] = 4
    m[16] = _KP16_WEIGHT
    return m


def _y9() -> dict[int, int]:
    m: dict[int, int] = {}
    for i in _W3:
        m[i] = 2
    for i in _W4:
        m[i] = 3
    for i in _W5:
        m[i] = 4
    m[16] = _KP16_WEIGHT
    return m


def _y10(
    valid_indices: list[int],
    valid_src: list[tuple[float, float]],
    valid_dst: list[tuple[float, float]],
    weight_by_index: dict[int, int],
) -> ndarray | None:
    src_list: list[tuple[float, float]] = []
    dst_list: list[tuple[float, float]] = []
    for idx, (s, d) in zip(valid_indices, zip(valid_src, valid_dst)):
        w = max(1, weight_by_index.get(idx, 1))
        for _ in range(w):
            src_list.append(s)
            dst_list.append(d)
    if len(src_list) < 4:
        return None
    src_np = np.array(src_list, dtype=np.float32)
    dst_np = np.array(dst_list, dtype=np.float32)
    H, _ = cv2.findHomography(src_np, dst_np)
    return H


def _y11(
    H: ndarray,
    template_image: ndarray,
    video_frame: ndarray,
    valid_indices: list[int] | None = None,
    valid_src: list[tuple[float, float]] | None = None,
    valid_dst: list[tuple[float, float]] | None = None,
    weight_map: dict[int, int] | None = None,
) -> tuple[float, ndarray | None, list[tuple[float, float]] | None]:
    h, w = video_frame.shape[:2]

    def _score_from_warped(warped: ndarray) -> float:
        ground_mask, line_mask = _y5(warped)
        predicted_mask = _y6(video_frame, ground_mask)
        overlap = cv2.bitwise_and(line_mask, predicted_mask)
        pixels_on_lines = int(line_mask.sum())
        pixels_overlap = int(overlap.sum())
        return float(pixels_overlap) / float(pixels_on_lines + 1e-8)

    try:
        warped = cv2.warpPerspective(template_image, H, (w, h))
        score = _score_from_warped(warped)
        return (score, H, None)
    except _Xe as e:
        err_msg = e.args[0] if e.args else ""
        if (
            err_msg in _MASK_RETRY_ERRORS
            and valid_indices is not None
            and valid_src is not None
            and valid_dst is not None
            and weight_map is not None
        ):
            idx_smallest_y = min(range(len(valid_dst)), key=lambda i: valid_dst[i][1])
            x0, y0 = valid_dst[idx_smallest_y]
            for dx, dy in [(0, -1), (0, 1), (-1, 0), (1, 0)]:
                new_dst = list(valid_dst)
                new_dst[idx_smallest_y] = (x0 + dx, y0 + dy)
                H2 = _y10(valid_indices, valid_src, new_dst, weight_map)
                if H2 is None:
                    continue
                try:
                    warped2 = cv2.warpPerspective(template_image, H2, (w, h))
                    score = _score_from_warped(warped2)
                    return (score, H2, new_dst)
                except _Xe:
                    continue
        return (0.0, None, None)
    except Exception:
        return (0.0, None, None)


def _is_kp_valid(kp: Any) -> bool:
    if not isinstance(kp, (list, tuple)) or len(kp) < 2:
        return False
    try:
        x, y = float(kp[0]), float(kp[1])
    except (TypeError, ValueError):
        return False
    return not (x == 0.0 and y == 0.0)


def _refine_kp5_kp16_kp29(
    kps: list[list[float]],
    H: ndarray,
    video_frame: ndarray,
    template_image: ndarray,
    *,
    precomputed_dilate_uint8: ndarray | None = None,
    precomputed_warped: ndarray | None = None,
    precomputed_ground_mask: ndarray | None = None,
) -> tuple[bool, str | None]:
    n_valid_5_16_29 = sum(1 for i in (5, 16, 29) if i < len(kps) and _is_kp_valid(kps[i]))
    if n_valid_5_16_29 >= 2:
        return (False, None)
    h, w = video_frame.shape[:2]
    kp16_valid_input = _is_kp_valid(kps[16]) if len(kps) > 16 else False
    left_set = [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12]
    right_set = [18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]
    middle_set = [9, 13, 14, 15, 16, 17, 30, 31]
    decision: str | None = None
    if any(i < len(kps) and _is_kp_valid(kps[i]) for i in left_set):
        decision = "left"
    elif any(i < len(kps) and _is_kp_valid(kps[i]) for i in right_set):
        decision = "right"
    elif any(i < len(kps) and _is_kp_valid(kps[i]) for i in middle_set):
        decision = "middle"
    else:
        decision = "other"
    src_pts = np.array([_F1[i] for i in (5, 16, 29)], dtype=np.float32).reshape(1, 3, 2)
    projected = cv2.perspectiveTransform(src_pts, H)[0]
    for idx, i in enumerate((5, 16, 29)):
        if i < len(kps) and not _is_kp_valid(kps[i]):
            kps[i] = [float(projected[idx][0]), float(projected[idx][1])]
    tkp_5 = (float(kps[5][0]), float(kps[5][1]))
    tkp_16 = (float(kps[16][0]), float(kps[16][1]))
    tkp_29 = (float(kps[29][0]), float(kps[29][1]))
    clip = _clip_segment_to_rect(tkp_5[0], tkp_5[1], tkp_29[0], tkp_29[1], w, h)
    if clip is None:
        return (False, None)
    (ax, ay), (bx, by) = clip

    if decision == "right":
        clip_r = _clip_segment_to_rect(tkp_16[0], tkp_16[1], tkp_29[0], tkp_29[1], w, h)
        if clip_r is None:
            return (False, None)
        (Ax, Ay), (Bx, By) = clip_r
        valid_indices_52 = []
        valid_src_52 = []
        valid_dst_52 = []
        for idx, kp in enumerate(kps):
            if not _is_kp_valid(kp):
                continue
            x, y = float(kp[0]), float(kp[1])
            valid_indices_52.append(idx)
            valid_src_52.append(_F1[idx] if idx < len(_F1) else (0.0, 0.0))
            valid_dst_52.append((x, y))
        warped_r = precomputed_warped
        ground_mask_r = precomputed_ground_mask
        H_use_r = H
        if warped_r is None or ground_mask_r is None:
            try:
                warped_r = cv2.warpPerspective(template_image, H_use_r, (w, h))
                ground_mask_r, _ = _y5(warped_r)
            except _Xe as e:
                err_msg = e.args[0] if e.args else ""
                if err_msg in _MASK_RETRY_ERRORS and len(valid_indices_52) >= 4 and len(valid_dst_52) >= 4:
                    idx_smallest_y = min(range(len(valid_dst_52)), key=lambda i: valid_dst_52[i][1])
                    x0, y0 = valid_dst_52[idx_smallest_y]
                    for dx, dy in [(0, -1), (0, 1), (-1, 0), (1, 0)]:
                        new_dst = list(valid_dst_52)
                        new_dst[idx_smallest_y] = (x0 + dx, y0 + dy)
                        H_retry = _y10(valid_indices_52, valid_src_52, new_dst, {})
                        if H_retry is None:
                            continue
                        try:
                            warped_r = cv2.warpPerspective(template_image, H_retry, (w, h))
                            ground_mask_r, _ = _y5(warped_r)
                            H_use_r = H_retry
                            break
                        except _Xe:
                            continue
                if warped_r is None or ground_mask_r is None:
                    return (False, None)
            except Exception:
                return (False, None)
        if warped_r is None or ground_mask_r is None:
            return (False, None)
        dilate_uint8_r = precomputed_dilate_uint8 if precomputed_dilate_uint8 is not None else _dilate_uint8_full_frame(video_frame)
        pts_right = [(float(kps[i][0]), float(kps[i][1])) for i in [24, 25, 26, 27, 28, 29] if i < len(kps) and _is_kp_valid(kps[i])]
        if len(pts_right) >= 2:
            line3 = _fit_line_to_points(pts_right)
        else:
            src_24_29 = np.array([[_F1[i] for i in [24, 25, 26, 27, 28, 29]]], dtype=np.float32)
            tkp_24_29 = cv2.perspectiveTransform(src_24_29, H_use_r)[0]
            pts_right = [(float(tkp_24_29[i][0]), float(tkp_24_29[i][1])) for i in range(6)]
            line3 = _fit_line_to_points(pts_right)
        if line3 is None:
            return (False, None)
        a3, b3, c3 = line3
        norm_u = math.hypot(b3, -a3)
        if norm_u < 1e-12:
            return (False, None)
        ux, uy = b3 / norm_u, -a3 / norm_u
        d = _STEP5_2_RIGHT_QUAD_HALFLENGTH
        A1 = (Ax - d * ux, Ay - d * uy)
        A2 = (Ax + d * ux, Ay + d * uy)
        B1 = (Bx - d * ux, By - d * uy)
        B2 = (Bx + d * ux, By + d * uy)
        pts_poly = np.array([[A1[0], A1[1]], [A2[0], A2[1]], [B2[0], B2[1]], [B1[0], B1[1]]], dtype=np.int32)
        mask_poly = np.zeros((h, w), dtype=np.uint8)
        cv2.fillConvexPoly(mask_poly, pts_poly, 255)
        dilate_in_roi = cv2.bitwise_and(dilate_uint8_r, mask_poly)
        px = pts_poly[:, 0]
        py = pts_poly[:, 1]
        x_min = max(0, int(px.min()) - _STEP5_2_ROI_MARGIN)
        y_min = max(0, int(py.min()) - _STEP5_2_ROI_MARGIN)
        x_max = min(w, int(px.max()) + 1 + _STEP5_2_ROI_MARGIN)
        y_max = min(h, int(py.max()) + 1 + _STEP5_2_ROI_MARGIN)
        roi_w = x_max - x_min
        roi_h = y_max - y_min
        dilate_roi = dilate_in_roi[y_min:y_max, x_min:x_max]
        num_labels, labels, stats, _ = cv2.connectedComponentsWithStats(dilate_roi, connectivity=8)
        best_label = 0
        best_area = 0
        for i in range(1, num_labels):
            area = stats[i, cv2.CC_STAT_AREA]
            if area > best_area:
                best_area = area
                best_label = i
        longest_mask_roi = ((labels == best_label).astype(np.uint8)) * 255
        longest_mask = np.zeros((h, w), dtype=np.uint8)
        longest_mask[y_min:y_max, x_min:x_max] = longest_mask_roi
        p1, p2 = None, None
        A3, B3 = None, None
        contours, _ = cv2.findContours(longest_mask_roi, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_NONE)
        if contours:
            contour = max(contours, key=cv2.contourArea)
            pts_contour = contour.reshape(-1, 2)
            n_c = len(pts_contour)
            max_pts = _STEP5_2_LONGEST_SEGMENT_MAX_PTS
            if n_c > max_pts:
                step = max(1, n_c // max_pts)
                pts_subsample = pts_contour[np.arange(0, n_c, step)]
            else:
                pts_subsample = pts_contour
            if _STEP5_2_HEAVY_SEARCH_FLAG:
                result = _longest_segment_fully_inside_mask(longest_mask_roi, pts_subsample)
                if result is not None:
                    p1_roi, p2_roi = result
                    p1 = (p1_roi[0] + x_min, p1_roi[1] + y_min)
                    p2 = (p2_roi[0] + x_min, p2_roi[1] + y_min)
            else:
                best_len_sq = -1.0
                best_p1_roi, best_p2_roi = None, None
                for i in range(len(pts_subsample)):
                    for j in range(i + 1, len(pts_subsample)):
                        d_sq = (pts_subsample[i][0] - pts_subsample[j][0]) ** 2 + (pts_subsample[i][1] - pts_subsample[j][1]) ** 2
                        if d_sq > best_len_sq:
                            best_len_sq = d_sq
                            best_p1_roi = (int(pts_subsample[i][0]), int(pts_subsample[i][1]))
                            best_p2_roi = (int(pts_subsample[j][0]), int(pts_subsample[j][1]))
                if best_p1_roi is not None and best_p2_roi is not None:
                    p1 = (best_p1_roi[0] + x_min, best_p1_roi[1] + y_min)
                    p2 = (best_p2_roi[0] + x_min, best_p2_roi[1] + y_min)
        if p1 is not None and p2 is not None:
            a_long, b_long, c_long = _line_through_two_points(float(p1[0]), float(p1[1]), float(p2[0]), float(p2[1]))
            a2, b2, c2 = _line_through_two_points(B1[0], B1[1], B2[0], B2[1])
            B3 = _line_intersection(a_long, b_long, c_long, a2, b2, c2)
            seg_border = _line_segment_for_drawing(a_long, b_long, c_long, w, h)
            if seg_border is not None:
                A3 = seg_border[0]
            if A3 is not None and B3 is not None:
                c4 = -a3 * A3[0] - b3 * A3[1]
                A3x, A3y = A3[0], A3[1]
                B3x, B3y = B3[0], B3[1]
                A3x_roi = A3x - x_min
                A3y_roi = A3y - y_min
                B3x_roi = B3x - x_min
                B3y_roi = B3y - y_min
                if _STEP5_2_8PX_HALFRES and roi_w >= 4 and roi_h >= 4:
                    dilate_8px = cv2.resize(dilate_roi, (roi_w // 2, roi_h // 2), interpolation=cv2.INTER_NEAREST)
                    roi_w_8, roi_h_8 = roi_w // 2, roi_h // 2
                    scale_8, seg_width_8 = 0.5, 4
                else:
                    dilate_8px = dilate_roi
                    roi_w_8, roi_h_8 = roi_w, roi_h
                    scale_8, seg_width_8 = 1.0, 8
                mask_8_roi = np.zeros((roi_h_8, roi_w_8), dtype=np.uint8)
                overlap_roi = np.empty((roi_h_8, roi_w_8), dtype=np.uint8)
                best_count_8 = -1
                best_s, best_t = 0, 0
                for s in range(-30, 31, _STEP5_2_8PX_COARSE_STEP):
                    for t in range(-30, 31, _STEP5_2_8PX_COARSE_STEP):
                        A4x_roi = A3x_roi + s * ux
                        A4y_roi = A3y_roi + s * uy
                        B4x_roi = B3x_roi + t * ux
                        B4y_roi = B3y_roi + t * uy
                        ax_d = int(round(A4x_roi * scale_8))
                        ay_d = int(round(A4y_roi * scale_8))
                        bx_d = int(round(B4x_roi * scale_8))
                        by_d = int(round(B4y_roi * scale_8))
                        mask_8_roi.fill(0)
                        cv2.line(mask_8_roi, (ax_d, ay_d), (bx_d, by_d), 255, seg_width_8)
                        cv2.bitwise_and(dilate_8px, mask_8_roi, overlap_roi)
                        count = cv2.countNonZero(overlap_roi)
                        if count > best_count_8:
                            best_count_8 = count
                            best_s, best_t = s, t
                if _STEP5_2_8PX_REFINE_PASS:
                    s_lo = max(-30, best_s - _STEP5_2_8PX_REFINE_WINDOW)
                    s_hi = min(31, best_s + _STEP5_2_8PX_REFINE_WINDOW + 1)
                    t_lo = max(-30, best_t - _STEP5_2_8PX_REFINE_WINDOW)
                    t_hi = min(31, best_t + _STEP5_2_8PX_REFINE_WINDOW + 1)
                    for s in range(s_lo, s_hi, 5):
                        for t in range(t_lo, t_hi, 5):
                            A4x_roi = A3x_roi + s * ux
                            A4y_roi = A3y_roi + s * uy
                            B4x_roi = B3x_roi + t * ux
                            B4y_roi = B3y_roi + t * uy
                            ax_d = int(round(A4x_roi * scale_8))
                            ay_d = int(round(A4y_roi * scale_8))
                            bx_d = int(round(B4x_roi * scale_8))
                            by_d = int(round(B4y_roi * scale_8))
                            mask_8_roi.fill(0)
                            cv2.line(mask_8_roi, (ax_d, ay_d), (bx_d, by_d), 255, seg_width_8)
                            cv2.bitwise_and(dilate_8px, mask_8_roi, overlap_roi)
                            count = cv2.countNonZero(overlap_roi)
                            if count > best_count_8:
                                best_count_8 = count
                                best_s, best_t = s, t
                A4 = (A3x + best_s * ux, A3y + best_s * uy)
                B4 = (B3x + best_t * ux, B3y + best_t * uy)
                a_ab, b_ab, c_ab = _line_through_two_points(A4[0], A4[1], B4[0], B4[1])
                kkp29 = _line_intersection(a_ab, b_ab, c_ab, a3, b3, c3)
                center_pts = [(float(kps[i][0]), float(kps[i][1])) for i in [13, 14, 15, 16] if i < len(kps) and _is_kp_valid(kps[i])]
                if len(center_pts) >= 2:
                    line_13_16 = _fit_line_to_points(center_pts)
                else:
                    src_13_16 = np.array([[_F1[i] for i in [13, 14, 15, 16]]], dtype=np.float32)
                    tkp_13_16 = cv2.perspectiveTransform(src_13_16, H_use_r)[0]
                    center_pts = [(float(tkp_13_16[i][0]), float(tkp_13_16[i][1])) for i in range(4)]
                    line_13_16 = _fit_line_to_points(center_pts)
                kkp16 = _line_intersection(a_ab, b_ab, c_ab, line_13_16[0], line_13_16[1], line_13_16[2]) if line_13_16 is not None else None
                if kkp29 is not None:
                    kps[29] = [float(kkp29[0]), float(kkp29[1])]
                if kkp16 is not None:
                    kps[16] = [float(kkp16[0]), float(kkp16[1])]
                if kkp16 is not None and kkp16[0] > 0:
                    pts_0_5_r = [(float(kps[i][0]), float(kps[i][1])) for i in [0, 1, 2, 3, 4, 5] if i < len(kps) and _is_kp_valid(kps[i])]
                    if len(pts_0_5_r) >= 2:
                        line_0_5_r = _fit_line_to_points(pts_0_5_r)
                    else:
                        src_0_5_r = np.array([[_F1[i] for i in [0, 1, 2, 3, 4, 5]]], dtype=np.float32)
                        tkp_0_5_r = cv2.perspectiveTransform(src_0_5_r, H_use_r)[0]
                        pts_0_5_r = [(float(tkp_0_5_r[i][0]), float(tkp_0_5_r[i][1])) for i in range(6)]
                        line_0_5_r = _fit_line_to_points(pts_0_5_r)
                    kkp5_r = _line_intersection(a_ab, b_ab, c_ab, line_0_5_r[0], line_0_5_r[1], line_0_5_r[2]) if line_0_5_r is not None else None
                    if kkp5_r is not None:
                        kps[5] = [float(kkp5_r[0]), float(kkp5_r[1])]
        return (True, "right")

    if decision == "left":
        clip_l = _clip_segment_to_rect(tkp_5[0], tkp_5[1], tkp_16[0], tkp_16[1], w, h)
        if clip_l is None:
            return (False, None)
        (Bx, By), (Ax, Ay) = clip_l
        valid_indices_52 = []
        valid_src_52 = []
        valid_dst_52 = []
        for idx, kp in enumerate(kps):
            if not _is_kp_valid(kp):
                continue
            x, y = float(kp[0]), float(kp[1])
            valid_indices_52.append(idx)
            valid_src_52.append(_F1[idx] if idx < len(_F1) else (0.0, 0.0))
            valid_dst_52.append((x, y))
        warped_l = precomputed_warped
        ground_mask_l = precomputed_ground_mask
        H_use_l = H
        if warped_l is None or ground_mask_l is None:
            try:
                warped_l = cv2.warpPerspective(template_image, H_use_l, (w, h))
                ground_mask_l, _ = _y5(warped_l)
            except _Xe as e:
                err_msg = e.args[0] if e.args else ""
                if err_msg in _MASK_RETRY_ERRORS and len(valid_indices_52) >= 4 and len(valid_dst_52) >= 4:
                    idx_smallest_y = min(range(len(valid_dst_52)), key=lambda i: valid_dst_52[i][1])
                    x0, y0 = valid_dst_52[idx_smallest_y]
                    for dx, dy in [(0, -1), (0, 1), (-1, 0), (1, 0)]:
                        new_dst = list(valid_dst_52)
                        new_dst[idx_smallest_y] = (x0 + dx, y0 + dy)
                        H_retry = _y10(valid_indices_52, valid_src_52, new_dst, {})
                        if H_retry is None:
                            continue
                        try:
                            warped_l = cv2.warpPerspective(template_image, H_retry, (w, h))
                            ground_mask_l, _ = _y5(warped_l)
                            H_use_l = H_retry
                            break
                        except _Xe:
                            continue
                if warped_l is None or ground_mask_l is None:
                    return (False, None)
            except Exception:
                return (False, None)
        if warped_l is None or ground_mask_l is None:
            return (False, None)
        dilate_uint8_l = precomputed_dilate_uint8 if precomputed_dilate_uint8 is not None else _dilate_uint8_full_frame(video_frame)
        pts_left = [(float(kps[i][0]), float(kps[i][1])) for i in [0, 1, 2, 3, 4, 5] if i < len(kps) and _is_kp_valid(kps[i])]
        if len(pts_left) >= 2:
            line3_l = _fit_line_to_points(pts_left)
        else:
            src_0_5 = np.array([[_F1[i] for i in [0, 1, 2, 3, 4, 5]]], dtype=np.float32)
            tkp_0_5 = cv2.perspectiveTransform(src_0_5, H_use_l)[0]
            pts_left = [(float(tkp_0_5[i][0]), float(tkp_0_5[i][1])) for i in range(6)]
            line3_l = _fit_line_to_points(pts_left)
        if line3_l is None:
            return (False, None)
        a3_l, b3_l, c3_l = line3_l
        norm_u_l = math.hypot(b3_l, -a3_l)
        if norm_u_l < 1e-12:
            return (False, None)
        ux_l, uy_l = b3_l / norm_u_l, -a3_l / norm_u_l
        d_l = _STEP5_2_RIGHT_QUAD_HALFLENGTH
        A1_l = (Ax - d_l * ux_l, Ay - d_l * uy_l)
        A2_l = (Ax + d_l * ux_l, Ay + d_l * uy_l)
        B1_l = (Bx - d_l * ux_l, By - d_l * uy_l)
        B2_l = (Bx + d_l * ux_l, By + d_l * uy_l)
        pts_poly_l = np.array([[A1_l[0], A1_l[1]], [A2_l[0], A2_l[1]], [B2_l[0], B2_l[1]], [B1_l[0], B1_l[1]]], dtype=np.int32)
        mask_poly_l = np.zeros((h, w), dtype=np.uint8)
        cv2.fillConvexPoly(mask_poly_l, pts_poly_l, 255)
        dilate_in_roi_l = cv2.bitwise_and(dilate_uint8_l, mask_poly_l)
        px_l = pts_poly_l[:, 0]
        py_l = pts_poly_l[:, 1]
        x_min_l = max(0, int(px_l.min()) - _STEP5_2_ROI_MARGIN)
        y_min_l = max(0, int(py_l.min()) - _STEP5_2_ROI_MARGIN)
        x_max_l = min(w, int(px_l.max()) + 1 + _STEP5_2_ROI_MARGIN)
        y_max_l = min(h, int(py_l.max()) + 1 + _STEP5_2_ROI_MARGIN)
        roi_w_l = x_max_l - x_min_l
        roi_h_l = y_max_l - y_min_l
        dilate_roi_l = dilate_in_roi_l[y_min_l:y_max_l, x_min_l:x_max_l]
        num_labels_l, labels_l, stats_l, _ = cv2.connectedComponentsWithStats(dilate_roi_l, connectivity=8)
        best_label_l = 0
        best_area_l = 0
        for i in range(1, num_labels_l):
            area = stats_l[i, cv2.CC_STAT_AREA]
            if area > best_area_l:
                best_area_l = area
                best_label_l = i
        longest_mask_roi_l = ((labels_l == best_label_l).astype(np.uint8)) * 255
        longest_mask_l = np.zeros((h, w), dtype=np.uint8)
        longest_mask_l[y_min_l:y_max_l, x_min_l:x_max_l] = longest_mask_roi_l
        p1_l, p2_l = None, None
        A3_l, B3_l = None, None
        contours_l, _ = cv2.findContours(longest_mask_roi_l, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_NONE)
        if contours_l:
            contour_l = max(contours_l, key=cv2.contourArea)
            pts_contour_l = contour_l.reshape(-1, 2)
            n_c_l = len(pts_contour_l)
            max_pts_l = _STEP5_2_LONGEST_SEGMENT_MAX_PTS
            if n_c_l > max_pts_l:
                step_l = max(1, n_c_l // max_pts_l)
                pts_subsample_l = pts_contour_l[np.arange(0, n_c_l, step_l)]
            else:
                pts_subsample_l = pts_contour_l
            if _STEP5_2_HEAVY_SEARCH_FLAG:
                result_l = _longest_segment_fully_inside_mask(longest_mask_roi_l, pts_subsample_l)
                if result_l is not None:
                    p1_roi_l, p2_roi_l = result_l
                    p1_l = (p1_roi_l[0] + x_min_l, p1_roi_l[1] + y_min_l)
                    p2_l = (p2_roi_l[0] + x_min_l, p2_roi_l[1] + y_min_l)
            else:
                best_len_sq_l = -1.0
                best_p1_roi_l, best_p2_roi_l = None, None
                for i in range(len(pts_subsample_l)):
                    for j in range(i + 1, len(pts_subsample_l)):
                        d_sq = (pts_subsample_l[i][0] - pts_subsample_l[j][0]) ** 2 + (pts_subsample_l[i][1] - pts_subsample_l[j][1]) ** 2
                        if d_sq > best_len_sq_l:
                            best_len_sq_l = d_sq
                            best_p1_roi_l = (int(pts_subsample_l[i][0]), int(pts_subsample_l[i][1]))
                            best_p2_roi_l = (int(pts_subsample_l[j][0]), int(pts_subsample_l[j][1]))
                if best_p1_roi_l is not None and best_p2_roi_l is not None:
                    p1_l = (best_p1_roi_l[0] + x_min_l, best_p1_roi_l[1] + y_min_l)
                    p2_l = (best_p2_roi_l[0] + x_min_l, best_p2_roi_l[1] + y_min_l)
        if p1_l is not None and p2_l is not None:
            a_long_l, b_long_l, c_long_l = _line_through_two_points(float(p1_l[0]), float(p1_l[1]), float(p2_l[0]), float(p2_l[1]))
            a2_l, b2_l, c2_l = _line_through_two_points(B1_l[0], B1_l[1], B2_l[0], B2_l[1])
            B3_l = _line_intersection(a_long_l, b_long_l, c_long_l, a2_l, b2_l, c2_l)
            seg_border_l = _line_segment_for_drawing(a_long_l, b_long_l, c_long_l, w, h)
            if seg_border_l is not None:
                A3_l = seg_border_l[1]
            if A3_l is not None and B3_l is not None:
                A3x_l, A3y_l = A3_l[0], A3_l[1]
                B3x_l, B3y_l = B3_l[0], B3_l[1]
                A3x_roi_l = A3x_l - x_min_l
                A3y_roi_l = A3y_l - y_min_l
                B3x_roi_l = B3x_l - x_min_l
                B3y_roi_l = B3y_l - y_min_l
                if _STEP5_2_8PX_HALFRES and roi_w_l >= 4 and roi_h_l >= 4:
                    dilate_8px_l = cv2.resize(dilate_roi_l, (roi_w_l // 2, roi_h_l // 2), interpolation=cv2.INTER_NEAREST)
                    roi_w_8_l, roi_h_8_l = roi_w_l // 2, roi_h_l // 2
                    scale_8_l, seg_width_8_l = 0.5, 4
                else:
                    dilate_8px_l = dilate_roi_l
                    roi_w_8_l, roi_h_8_l = roi_w_l, roi_h_l
                    scale_8_l, seg_width_8_l = 1.0, 8
                mask_8_roi_l = np.zeros((roi_h_8_l, roi_w_8_l), dtype=np.uint8)
                overlap_roi_l = np.empty((roi_h_8_l, roi_w_8_l), dtype=np.uint8)
                best_count_8_l = -1
                best_s_l, best_t_l = 0, 0
                for s in range(-30, 31, _STEP5_2_8PX_COARSE_STEP):
                    for t in range(-30, 31, _STEP5_2_8PX_COARSE_STEP):
                        A4x_roi_l = A3x_roi_l + s * ux_l
                        A4y_roi_l = A3y_roi_l + s * uy_l
                        B4x_roi_l = B3x_roi_l + t * ux_l
                        B4y_roi_l = B3y_roi_l + t * uy_l
                        ax_d_l = int(round(A4x_roi_l * scale_8_l))
                        ay_d_l = int(round(A4y_roi_l * scale_8_l))
                        bx_d_l = int(round(B4x_roi_l * scale_8_l))
                        by_d_l = int(round(B4y_roi_l * scale_8_l))
                        mask_8_roi_l.fill(0)
                        cv2.line(mask_8_roi_l, (ax_d_l, ay_d_l), (bx_d_l, by_d_l), 255, seg_width_8_l)
                        cv2.bitwise_and(dilate_8px_l, mask_8_roi_l, overlap_roi_l)
                        count = cv2.countNonZero(overlap_roi_l)
                        if count > best_count_8_l:
                            best_count_8_l = count
                            best_s_l, best_t_l = s, t
                if _STEP5_2_8PX_REFINE_PASS:
                    s_lo_l = max(-30, best_s_l - _STEP5_2_8PX_REFINE_WINDOW)
                    s_hi_l = min(31, best_s_l + _STEP5_2_8PX_REFINE_WINDOW + 1)
                    t_lo_l = max(-30, best_t_l - _STEP5_2_8PX_REFINE_WINDOW)
                    t_hi_l = min(31, best_t_l + _STEP5_2_8PX_REFINE_WINDOW + 1)
                    for s in range(s_lo_l, s_hi_l, 5):
                        for t in range(t_lo_l, t_hi_l, 5):
                            A4x_roi_l = A3x_roi_l + s * ux_l
                            A4y_roi_l = A3y_roi_l + s * uy_l
                            B4x_roi_l = B3x_roi_l + t * ux_l
                            B4y_roi_l = B3y_roi_l + t * uy_l
                            ax_d_l = int(round(A4x_roi_l * scale_8_l))
                            ay_d_l = int(round(A4y_roi_l * scale_8_l))
                            bx_d_l = int(round(B4x_roi_l * scale_8_l))
                            by_d_l = int(round(B4y_roi_l * scale_8_l))
                            mask_8_roi_l.fill(0)
                            cv2.line(mask_8_roi_l, (ax_d_l, ay_d_l), (bx_d_l, by_d_l), 255, seg_width_8_l)
                            cv2.bitwise_and(dilate_8px_l, mask_8_roi_l, overlap_roi_l)
                            count = cv2.countNonZero(overlap_roi_l)
                            if count > best_count_8_l:
                                best_count_8_l = count
                                best_s_l, best_t_l = s, t
                A4_l = (A3x_l + best_s_l * ux_l, A3y_l + best_s_l * uy_l)
                B4_l = (B3x_l + best_t_l * ux_l, B3y_l + best_t_l * uy_l)
                a_ab_l, b_ab_l, c_ab_l = _line_through_two_points(A4_l[0], A4_l[1], B4_l[0], B4_l[1])
                kkp5_l = _line_intersection(a_ab_l, b_ab_l, c_ab_l, a3_l, b3_l, c3_l)
                center_pts_l = [(float(kps[i][0]), float(kps[i][1])) for i in [13, 14, 15, 16] if i < len(kps) and _is_kp_valid(kps[i])]
                if len(center_pts_l) >= 2:
                    line_13_16_l = _fit_line_to_points(center_pts_l)
                else:
                    src_13_16_l = np.array([[_F1[i] for i in [13, 14, 15, 16]]], dtype=np.float32)
                    tkp_13_16_l = cv2.perspectiveTransform(src_13_16_l, H_use_l)[0]
                    center_pts_l = [(float(tkp_13_16_l[i][0]), float(tkp_13_16_l[i][1])) for i in range(4)]
                    line_13_16_l = _fit_line_to_points(center_pts_l)
                kkp16_l = _line_intersection(a_ab_l, b_ab_l, c_ab_l, line_13_16_l[0], line_13_16_l[1], line_13_16_l[2]) if line_13_16_l is not None else None
                if kkp5_l is not None:
                    kps[5] = [float(kkp5_l[0]), float(kkp5_l[1])]
                if kkp16_l is not None:
                    kps[16] = [float(kkp16_l[0]), float(kkp16_l[1])]
                if kkp16_l is not None and kkp16_l[0] < w:
                    pts_24_29_l = [(float(kps[i][0]), float(kps[i][1])) for i in [24, 25, 26, 27, 28, 29] if i < len(kps) and _is_kp_valid(kps[i])]
                    if len(pts_24_29_l) >= 2:
                        line_24_29_l = _fit_line_to_points(pts_24_29_l)
                    else:
                        src_24_29_l = np.array([[_F1[i] for i in [24, 25, 26, 27, 28, 29]]], dtype=np.float32)
                        tkp_24_29_l = cv2.perspectiveTransform(src_24_29_l, H_use_l)[0]
                        pts_24_29_l = [(float(tkp_24_29_l[i][0]), float(tkp_24_29_l[i][1])) for i in range(6)]
                        line_24_29_l = _fit_line_to_points(pts_24_29_l)
                    kkp29_l = _line_intersection(a_ab_l, b_ab_l, c_ab_l, line_24_29_l[0], line_24_29_l[1], line_24_29_l[2]) if line_24_29_l is not None else None
                    if kkp29_l is not None:
                        kps[29] = [float(kkp29_l[0]), float(kkp29_l[1])]
        return (True, "left")

    if not kp16_valid_input:
        return (False, None)
    x16, y16 = tkp_16[0], tkp_16[1]
    valid_indices_52 = []
    valid_src_52 = []
    valid_dst_52 = []
    for idx, kp in enumerate(kps):
        if not _is_kp_valid(kp):
            continue
        x, y = float(kp[0]), float(kp[1])
        valid_indices_52.append(idx)
        valid_src_52.append(_F1[idx] if idx < len(_F1) else (0.0, 0.0))
        valid_dst_52.append((x, y))
    warped = None
    ground_mask = None
    H_use = H
    try:
        warped = cv2.warpPerspective(template_image, H_use, (w, h))
        ground_mask, _ = _y5(warped)
    except _Xe as e:
        err_msg = e.args[0] if e.args else ""
        if err_msg in _MASK_RETRY_ERRORS and len(valid_indices_52) >= 4 and len(valid_dst_52) >= 4:
            idx_smallest_y = min(range(len(valid_dst_52)), key=lambda i: valid_dst_52[i][1])
            x0, y0 = valid_dst_52[idx_smallest_y]
            for dx, dy in [(0, -1), (0, 1), (-1, 0), (1, 0)]:
                new_dst = list(valid_dst_52)
                new_dst[idx_smallest_y] = (x0 + dx, y0 + dy)
                H_retry = _y10(valid_indices_52, valid_src_52, new_dst, {})
                if H_retry is None:
                    continue
                try:
                    warped = cv2.warpPerspective(template_image, H_retry, (w, h))
                    ground_mask, _ = _y5(warped)
                    H_use = H_retry
                    break
                except _Xe:
                    continue
        else:
            warped = None
            ground_mask = None
        if warped is None or ground_mask is None:
            return (False, None)
    except Exception:
        return (False, None)
    if warped is None or ground_mask is None:
        return (False, None)
    dilate_uint8 = _dilate_uint8_full_frame(video_frame)
    seg_width = 8
    mask = np.zeros((h, w), dtype=np.uint8)
    overlap_buf = np.empty((h, w), dtype=np.uint8)
    best_count = -1
    best_ay, best_by = ay, by
    step = 5
    for t in range(-100, 101, step):
        ay_new = ay + t
        if abs(bx - ax) < 1e-12:
            by_new = ay_new
        else:
            by_new = ay_new + (y16 - ay_new) * (bx - ax) / (x16 - ax) if abs(x16 - ax) >= 1e-12 else ay_new
        a_pt = (int(round(ax)), int(round(ay_new)))
        b_pt = (int(round(bx)), int(round(by_new)))
        mask.fill(0)
        cv2.line(mask, a_pt, b_pt, 255, seg_width)
        cv2.bitwise_and(dilate_uint8, mask, overlap_buf)
        count = cv2.countNonZero(overlap_buf)
        if count > best_count:
            best_count = count
            best_ay, best_by = ay_new, by_new
    for shift in range(-20, 21, 5):
        ay_shift = best_ay + shift
        by_shift = best_by + shift
        a_pt = (int(round(ax)), int(round(ay_shift)))
        b_pt = (int(round(bx)), int(round(by_shift)))
        mask.fill(0)
        cv2.line(mask, a_pt, b_pt, 255, seg_width)
        cv2.bitwise_and(dilate_uint8, mask, overlap_buf)
        count = cv2.countNonZero(overlap_buf)
        if count > best_count:
            best_count = count
            best_ay, best_by = ay_shift, by_shift
    a_final = (ax, best_ay)
    b_final = (bx, best_by)
    center_pts = []
    for i in [13, 14, 15, 16]:
        if i < len(kps) and _is_kp_valid(kps[i]):
            center_pts.append((float(kps[i][0]), float(kps[i][1])))
    line_center = _fit_line_to_points(center_pts) if len(center_pts) >= 2 else None
    a_ab, b_ab, c_ab = _line_through_two_points(a_final[0], a_final[1], b_final[0], b_final[1])
    if line_center is not None:
        a_c, b_c, c_c = line_center
        inter = _line_intersection(a_c, b_c, c_c, a_ab, b_ab, c_ab)
        if inter is not None:
            x16, y16 = inter[0], inter[1]
    d5 = math.hypot(tkp_5[0] - x16, tkp_5[1] - y16)
    d29 = math.hypot(tkp_29[0] - x16, tkp_29[1] - y16)
    dx_ab = b_final[0] - a_final[0]
    dy_ab = b_final[1] - a_final[1]
    len_ab = math.hypot(dx_ab, dy_ab)
    if len_ab < 1e-12:
        kkp5 = (x16, y16)
        kkp29 = (x16, y16)
    else:
        ux = dx_ab / len_ab
        uy = dy_ab / len_ab
        kkp5_plus = (x16 + d5 * ux, y16 + d5 * uy)
        kkp5_minus = (x16 - d5 * ux, y16 - d5 * uy)
        dist_plus_to_a = math.hypot(kkp5_plus[0] - a_final[0], kkp5_plus[1] - a_final[1])
        dist_minus_to_a = math.hypot(kkp5_minus[0] - a_final[0], kkp5_minus[1] - a_final[1])
        kkp5 = kkp5_minus if dist_minus_to_a < dist_plus_to_a else kkp5_plus
        kkp29_plus = (x16 + d29 * ux, y16 + d29 * uy)
        kkp29_minus = (x16 - d29 * ux, y16 - d29 * uy)
        dist_plus_to_b = math.hypot(kkp29_plus[0] - b_final[0], kkp29_plus[1] - b_final[1])
        dist_minus_to_b = math.hypot(kkp29_minus[0] - b_final[0], kkp29_minus[1] - b_final[1])
        kkp29 = kkp29_minus if dist_minus_to_b < dist_plus_to_b else kkp29_plus
    kps[5] = [kkp5[0], kkp5[1]]
    kps[29] = [kkp29[0], kkp29[1]]
    kps[16] = [x16, y16]
    return (True, None)


def _refine_kp4_kp12(
    kps: list[list[float]],
    H: ndarray,
    video_frame: ndarray,
    template_image: ndarray,
) -> bool:
    if len(kps) <= 12:
        return False
    if not _is_kp_valid(kps[12]) or _is_kp_valid(kps[4]):
        return False
    h, w = video_frame.shape[:2]
    src_pt4 = np.array([_F1[4]], dtype=np.float32).reshape(1, 1, 2)
    inferred_4 = cv2.perspectiveTransform(src_pt4, H)[0, 0]
    kp4_x, kp4_y = float(inferred_4[0]), float(inferred_4[1])
    kp12_x = float(kps[12][0])
    kp12_y = float(kps[12][1])
    try:
        warped = cv2.warpPerspective(template_image, H, (w, h))
        ground_mask, _ = _y5(warped)
    except _Xe:
        return False
    dilate_image = _y6(video_frame, ground_mask)
    dilate_uint8 = (dilate_image.astype(np.uint8)) * 255
    y4_lo = max(0, int(kp4_y) - 50)
    y4_hi = min(h - 1, int(kp4_y) + 50)
    y12_lo = max(0, int(kp12_y) - 50)
    y12_hi = min(h - 1, int(kp12_y) + 50)
    step = 5
    best_count = -1
    best_y4 = int(kp4_y)
    best_y12 = int(kp12_y)
    seg_width = 5
    mask = np.zeros((h, w), dtype=np.uint8)
    overlap_buf = np.empty((h, w), dtype=np.uint8)
    for y4 in range(y4_lo, min(y4_hi + 1, y4_lo + ((y4_hi - y4_lo) // step) * step + 1), step):
        for y12 in range(y12_lo, min(y12_hi + 1, y12_lo + ((y12_hi - y12_lo) // step) * step + 1), step):
            p1 = (int(round(kp4_x)), y4)
            p2 = (int(round(kp12_x)), y12)
            mask.fill(0)
            cv2.line(mask, p1, p2, 255, seg_width)
            cv2.bitwise_and(dilate_uint8, mask, overlap_buf)
            count = cv2.countNonZero(overlap_buf)
            if count > best_count:
                best_count = count
                best_y4 = y4
                best_y12 = y12
    kkp4 = (kp4_x, float(best_y4))
    kkp12 = (kp12_x, float(best_y12))
    line_ext = _line_through_two_points(kkp4[0], kkp4[1], kkp12[0], kkp12[1])
    pts1 = []
    for i in [0, 1, 2, 3, 4]:
        if i < len(kps) and _is_kp_valid(kps[i]):
            pts1.append((float(kps[i][0]), float(kps[i][1])))
    if len(pts1) < 2:
        return False
    line1 = _fit_line_to_points(pts1)
    if line1 is None:
        return False
    pts2 = []
    for i in [9, 10, 11, 12]:
        if i < len(kps) and _is_kp_valid(kps[i]):
            pts2.append((float(kps[i][0]), float(kps[i][1])))
    if len(pts2) < 2:
        return False
    line2 = _fit_line_to_points(pts2)
    if line2 is None:
        return False
    a1, b1, c1 = line1
    a2, b2, c2 = line2
    inter1 = _line_intersection(a1, b1, c1, line_ext[0], line_ext[1], line_ext[2])
    inter2 = _line_intersection(a2, b2, c2, line_ext[0], line_ext[1], line_ext[2])
    if inter1 is None or inter2 is None:
        return False
    kps[4] = [inter1[0], inter1[1]]
    kps[12] = [inter2[0], inter2[1]]
    return True


def _refine_kp20_kp28(
    kps: list[list[float]],
    H: ndarray,
    video_frame: ndarray,
    template_image: ndarray,
) -> bool:
    if len(kps) <= 28:
        return False
    if not _is_kp_valid(kps[20]) or _is_kp_valid(kps[28]):
        return False
    h, w = video_frame.shape[:2]
    src_pt28 = np.array([_F1[28]], dtype=np.float32).reshape(1, 1, 2)
    inferred_28 = cv2.perspectiveTransform(src_pt28, H)[0, 0]
    kp28_x, kp28_y = float(inferred_28[0]), float(inferred_28[1])
    kp20_x = float(kps[20][0])
    kp20_y = float(kps[20][1])
    try:
        warped = cv2.warpPerspective(template_image, H, (w, h))
        ground_mask, _ = _y5(warped)
    except _Xe:
        return False
    dilate_image = _y6(video_frame, ground_mask)
    dilate_uint8 = (dilate_image.astype(np.uint8)) * 255
    y28_lo = max(0, int(kp28_y) - 50)
    y28_hi = min(h - 1, int(kp28_y) + 50)
    y20_lo = max(0, int(kp20_y) - 50)
    y20_hi = min(h - 1, int(kp20_y) + 50)
    step = 5
    best_count = -1
    best_y28 = int(kp28_y)
    best_y20 = int(kp20_y)
    seg_width = 5
    mask = np.zeros((h, w), dtype=np.uint8)
    overlap_buf = np.empty((h, w), dtype=np.uint8)
    for y28 in range(y28_lo, min(y28_hi + 1, y28_lo + ((y28_hi - y28_lo) // step) * step + 1), step):
        for y20 in range(y20_lo, min(y20_hi + 1, y20_lo + ((y20_hi - y20_lo) // step) * step + 1), step):
            p1 = (int(round(kp28_x)), y28)
            p2 = (int(round(kp20_x)), y20)
            mask.fill(0)
            cv2.line(mask, p1, p2, 255, seg_width)
            cv2.bitwise_and(dilate_uint8, mask, overlap_buf)
            count = cv2.countNonZero(overlap_buf)
            if count > best_count:
                best_count = count
                best_y28 = y28
                best_y20 = y20
    kkp28 = (kp28_x, float(best_y28))
    kkp20 = (kp20_x, float(best_y20))
    line_ext = _line_through_two_points(kkp28[0], kkp28[1], kkp20[0], kkp20[1])
    pts1 = []
    for i in [24, 25, 26, 27, 28]:
        if i < len(kps) and _is_kp_valid(kps[i]):
            pts1.append((float(kps[i][0]), float(kps[i][1])))
    if len(pts1) < 2:
        return False
    line1 = _fit_line_to_points(pts1)
    if line1 is None:
        return False
    pts2 = []
    for i in [17, 18, 19, 20]:
        if i < len(kps) and _is_kp_valid(kps[i]):
            pts2.append((float(kps[i][0]), float(kps[i][1])))
    if len(pts2) < 2:
        return False
    line2 = _fit_line_to_points(pts2)
    if line2 is None:
        return False
    a1, b1, c1 = line1
    a2, b2, c2 = line2
    inter1 = _line_intersection(a1, b1, c1, line_ext[0], line_ext[1], line_ext[2])
    inter2 = _line_intersection(a2, b2, c2, line_ext[0], line_ext[1], line_ext[2])
    if inter1 is None or inter2 is None:
        return False
    kps[28] = [inter1[0], inter1[1]]
    kps[20] = [inter2[0], inter2[1]]
    return True


def _z0(
    kps: list[Any],
    video_frame: ndarray,
    template_image: ndarray,
) -> list[list[float]] | None:
    if not isinstance(kps, list) or len(kps) != _N0:
        return None
    h, w = video_frame.shape[:2]
    frame_width, frame_height = w, h

    def _collect_valid(
        kps_list: list[Any],
        step52_decision: str | None,
    ) -> tuple[list[int], list[tuple[float, float]], list[tuple[float, float]]]:
        vi: list[int] = []
        vs: list[tuple[float, float]] = []
        vd: list[tuple[float, float]] = []
        kp16_x: float | None = None
        if len(kps_list) > 16 and isinstance(kps_list[16], (list, tuple)) and len(kps_list[16]) >= 1:
            try:
                kp16_x = float(kps_list[16][0])
            except (TypeError, ValueError):
                pass
        for idx, kp in enumerate(kps_list):
            if not isinstance(kp, (list, tuple)) or len(kp) < 2:
                continue
            try:
                x, y = float(kp[0]), float(kp[1])
            except (TypeError, ValueError):
                continue
            if x == 0.0 and y == 0.0:
                continue
            if idx not in _ALWAYS_INCLUDE_INDICES:
                if x < 0 or x > frame_width or y < 0 or y > frame_height:
                    continue
            if idx == 5 and x > frame_width:
                continue
            if idx == 29 and x < 0:
                continue
            if step52_decision == "left" and kp16_x is not None and kp16_x > frame_width and idx == 29:
                continue
            if step52_decision == "right" and kp16_x is not None and kp16_x < 0 and idx == 5:
                continue
            vi.append(idx)
            if idx < len(_F1):
                vs.append(_F1[idx])
            vd.append((x, y))
        return (vi, vs, vd)

    valid_indices, valid_src, valid_dst = _collect_valid(kps, None)
    if len(valid_src) < 4:
        return None

    H0 = _y10(valid_indices, valid_src, valid_dst, {})
    if H0 is not None:
        score0, H0_used, dst_retry = _y11(
            H0, template_image, video_frame,
            valid_indices, valid_src, valid_dst, {},
        )
        if dst_retry is not None and H0_used is not None:
            for i, idx in enumerate(valid_indices):
                if idx < len(kps):
                    kps[idx] = [float(dst_retry[i][0]), float(dst_retry[i][1])]
            valid_indices, valid_src, valid_dst = _collect_valid(kps, None)
            H0 = H0_used
    else:
        score0 = 0.0

    refined = False
    step52_decision: str | None = None
    if H0 is not None:
        refined = _refine_kp4_kp12(kps, H0, video_frame, template_image) or refined
        refined = _refine_kp20_kp28(kps, H0, video_frame, template_image) or refined
        dilate_uint8 = _dilate_uint8_full_frame(video_frame)
        warp_52: ndarray | None = None
        ground_mask_52: ndarray | None = None
        try:
            warp_52 = cv2.warpPerspective(template_image, H0, (frame_width, frame_height))
            ground_mask_52, _ = _y5(warp_52)
        except _Xe:
            pass
        step52_refined, step52_decision = _refine_kp5_kp16_kp29(
            kps, H0, video_frame, template_image,
            precomputed_dilate_uint8=dilate_uint8,
            precomputed_warped=warp_52,
            precomputed_ground_mask=ground_mask_52,
        )
        refined = refined or step52_refined

    if refined:
        valid_indices, valid_src, valid_dst = _collect_valid(kps, step52_decision)
        if len(valid_src) < 4:
            valid_indices, valid_src, valid_dst = _collect_valid(kps, None)

    if len(valid_src) < 4:
        if H0 is not None:
            src_all = np.array(_F1, dtype=np.float32).reshape(1, -1, 2)
            projected = cv2.perspectiveTransform(src_all, H0)[0]
            return [[float(projected[i][0]), float(projected[i][1])] for i in range(_N0)]
        return None

    w1, w2, w3 = _y7(), _y8(), _y9()
    H1 = _y10(valid_indices, valid_src, valid_dst, w1)
    H2 = _y10(valid_indices, valid_src, valid_dst, w2)
    valid_set = set(valid_indices)
    if valid_set.isdisjoint(_INDICES_H3_VS_H1):
        H3 = H1
    elif valid_set.isdisjoint(_INDICES_H3_VS_H2):
        H3 = H2
    else:
        H3 = _y10(valid_indices, valid_src, valid_dst, w3)
    score1 = _y11(H1, template_image, video_frame)[0] if H1 is not None else 0.0
    score2 = _y11(H2, template_image, video_frame)[0] if H2 is not None else 0.0
    score3 = _y11(H3, template_image, video_frame)[0] if H3 is not None else 0.0
    best_H = H0
    best_score = score0
    if H1 is not None and score1 > best_score:
        best_H, best_score = H1, score1
    if H2 is not None and score2 > best_score:
        best_H, best_score = H2, score2
    if H3 is not None and score3 > best_score:
        best_H = H3
    if best_H is None:
        return None
    src_all = np.array(_F1, dtype=np.float32).reshape(1, -1, 2)
    projected = cv2.perspectiveTransform(src_all, best_H)[0]
    return [[float(projected[i][0]), float(projected[i][1])] for i in range(_N0)]


def _z1(
    kps: list[Any],
    frame_width: int,
    frame_height: int,
    fill_missing: bool,
) -> list[list[float]] | None:
    if not isinstance(kps, list) or len(kps) != _N0 or frame_width <= 0 or frame_height <= 0:
        return None
    filtered_src: list[tuple[float, float]] = []
    filtered_dst: list[tuple[float, float]] = []
    valid_indices: list[int] = []
    for idx, kp in enumerate(kps):
        if not isinstance(kp, (list, tuple)) or len(kp) < 2:
            continue
        try:
            x, y = float(kp[0]), float(kp[1])
        except (TypeError, ValueError):
            continue
        if x == 0.0 and y == 0.0:
            continue
        if idx >= len(_F1):
            continue
        filtered_src.append(_F1[idx])
        filtered_dst.append((x, y))
        valid_indices.append(idx)
    if len(filtered_src) < 4:
        return None
    src_np = np.array(filtered_src, dtype=np.float32)
    dst_np = np.array(filtered_dst, dtype=np.float32)
    H_corrected, _ = cv2.findHomography(src_np, dst_np)
    if H_corrected is None:
        return None
    fk_np = np.array(_F0, dtype=np.float32).reshape(1, -1, 2)
    projected_np = cv2.perspectiveTransform(fk_np, H_corrected)[0]
    valid_indices_set = set(valid_indices)
    adjusted_kps: list[list[float]] = [[0.0, 0.0] for _ in range(_N0)]
    for idx in range(_N0):
        x, y = float(projected_np[idx][0]), float(projected_np[idx][1])
        if not (0 <= x < frame_width and 0 <= y < frame_height):
            continue
        if fill_missing or idx in valid_indices_set:
            adjusted_kps[idx] = [x, y]
    return adjusted_kps


def _z2(
    keypoints: list[list[float]],
    video_frame: ndarray,
    template_image: ndarray,
) -> float:
    score, _ = _z2_score_and_kps(keypoints, video_frame, template_image)
    return score


def _z2_score_and_kps(
    keypoints: list[list[float]],
    video_frame: ndarray,
    template_image: ndarray,
) -> tuple[float, list[list[float]] | None]:
    if not isinstance(keypoints, list) or len(keypoints) != _N0:
        return (0.0, None)
    valid_indices: list[int] = []
    valid_src: list[tuple[float, float]] = []
    valid_dst: list[tuple[float, float]] = []
    for idx, kp in enumerate(keypoints):
        if not isinstance(kp, (list, tuple)) or len(kp) < 2:
            continue
        try:
            x, y = float(kp[0]), float(kp[1])
        except (TypeError, ValueError):
            continue
        if x == 0.0 and y == 0.0:
            continue
        if idx >= len(_F1):
            continue
        valid_indices.append(idx)
        valid_src.append(_F1[idx])
        valid_dst.append((x, y))
    if len(valid_src) < 4:
        return (0.0, None)
    H = _y10(valid_indices, valid_src, valid_dst, {})
    if H is None:
        return (0.0, None)
    score, H_used, new_dst = _y11(
        H, template_image, video_frame,
        valid_indices, valid_src, valid_dst, {},
    )
    if new_dst is not None and H_used is not None:
        new_keypoints = [list(kp) if isinstance(kp, (list, tuple)) else [0.0, 0.0] for kp in keypoints]
        if len(new_keypoints) != _N0:
            new_keypoints = (new_keypoints + [[0.0, 0.0]] * _N0)[:_N0]
        for i, idx in enumerate(valid_indices):
            if idx < len(new_keypoints) and i < len(new_dst):
                new_keypoints[idx] = [float(new_dst[i][0]), float(new_dst[i][1])]
        return (score, new_keypoints)
    return (score, None)


def _z3(kps: list[Any]) -> dict[int, tuple[float, float]]:
    out: dict[int, tuple[float, float]] = {}
    for idx, kp in enumerate(kps):
        if not isinstance(kp, (list, tuple)) or len(kp) < 2:
            continue
        try:
            x, y = float(kp[0]), float(kp[1])
        except (TypeError, ValueError):
            continue
        if x != 0.0 or y != 0.0:
            out[idx] = (x, y)
    return out


def _z4(
    a: dict[int, tuple[float, float]],
    b: dict[int, tuple[float, float]],
    threshold: float,
) -> int:
    count = 0
    for idx, (ax, ay) in a.items():
        if idx not in b:
            continue
        bx, by = b[idx]
        if ((ax - bx) ** 2 + (ay - by) ** 2) ** 0.5 <= threshold:
            count += 1
    return count


def _z5(a: list[Any], b: list[Any]) -> list[int]:
    out: list[int] = []
    for i in range(min(len(a), len(b))):
        ka, kb = a[i], b[i]
        if not (isinstance(ka, (list, tuple)) and len(ka) >= 2):
            continue
        if not (isinstance(kb, (list, tuple)) and len(kb) >= 2):
            continue
        if float(ka[0]) == 0.0 and float(ka[1]) == 0.0:
            continue
        if float(kb[0]) == 0.0 and float(kb[1]) == 0.0:
            continue
        out.append(i)
    return out


def _z6(
    a: list[Any],
    b: list[Any],
    frame_width: int,
    frame_height: int,
) -> list[int]:
    out: list[int] = []
    for i in range(min(len(a), len(b))):
        ka, kb = a[i], b[i]
        if not (isinstance(ka, (list, tuple)) and len(ka) >= 2):
            continue
        if not (isinstance(kb, (list, tuple)) and len(kb) >= 2):
            continue
        xa, ya = float(ka[0]), float(ka[1])
        xb, yb = float(kb[0]), float(kb[1])
        if xa == 0.0 and ya == 0.0:
            continue
        if xb == 0.0 and yb == 0.0:
            continue
        if not (0 <= xa < frame_width and 0 <= ya < frame_height):
            continue
        if not (0 <= xb < frame_width and 0 <= yb < frame_height):
            continue
        out.append(i)
    return out


def _z7(
    batch_frame_ids: list[int],
    keypoints_by_frame: dict[int, list[list[float]]],
) -> list[list[int]]:
    id_kps: list[tuple[int, list[list[float]]]] = []
    for fid in batch_frame_ids:
        kps = keypoints_by_frame.get(fid)
        if not kps:
            continue
        vkps = _z3(kps)
        if vkps:
            id_kps.append((fid, kps))
    id_kps.sort(key=lambda t: t[0])
    segments: list[list[int]] = []
    if not id_kps:
        return segments
    current_segment: list[int] = [id_kps[0][0]]
    prev_vkps = _z3(id_kps[0][1])
    for i in range(1, len(id_kps)):
        fid, kps = id_kps[i]
        cur_vkps = _z3(kps)
        common = _z4(prev_vkps, cur_vkps, _J5)
        if common >= _J6:
            current_segment.append(fid)
        else:
            segments.append(current_segment)
            current_segment = [fid]
        prev_vkps = cur_vkps
    segments.append(current_segment)
    return segments


def _z8(
    keypoints_by_frame: dict[int, list[list[float]]],
    images: list[ndarray],
    offset: int,
    template_image: ndarray,
) -> int:
    if not _J1 or not images or len(images) < _Z8_MIN_BATCH_FRAMES:
        return 0
    batch_frame_ids = [offset + i for i in range(len(images))]
    score_map: dict[int, float] = {}
    for i, fid in enumerate(batch_frame_ids):
        kps = keypoints_by_frame.get(fid)
        if not kps or len(kps) != _N0:
            score_map[fid] = 0.0
            continue
        score_map[fid] = _z2(kps, images[i], template_image)
    sorted_ids = sorted(score_map.keys())
    if not sorted_ids:
        return 0
    segments = _z7(batch_frame_ids, keypoints_by_frame)
    frame_to_seg: dict[int, int] = {}
    for seg_idx, seg in enumerate(segments):
        for fid in seg:
            frame_to_seg[fid] = seg_idx
    frame_width = images[0].shape[1] if images else 0
    frame_height = images[0].shape[0] if images else 0
    total_updated = 0
    for threshold in _J2:
        problematic = [fid for fid in sorted_ids if score_map[fid] < threshold]
        if not problematic:
            continue
        problematic = problematic[:_Z8_MAX_PROBLEMATIC_PER_BATCH]
        segments_seen: dict[tuple[int, int], tuple[list[Any], list[Any], set[int]]] = {}
        for problem_id in problematic:
            backward_id: int | None = None
            for fid in reversed(sorted_ids):
                if fid < problem_id and score_map[fid] >= threshold:
                    backward_id = fid
                    break
            forward_id: int | None = None
            for fid in sorted_ids:
                if fid > problem_id and score_map[fid] >= threshold:
                    forward_id = fid
                    break
            if backward_id is None or forward_id is None:
                continue
            if frame_to_seg.get(backward_id) != frame_to_seg.get(forward_id):
                continue
            if forward_id - backward_id > _J3:
                continue
            bwd_kps = keypoints_by_frame.get(backward_id) or []
            fwd_kps = keypoints_by_frame.get(forward_id) or []
            if frame_width > 0 and frame_height > 0:
                common_set = set(_z6(bwd_kps, fwd_kps, frame_width, frame_height))
            else:
                common_set = set(_z5(bwd_kps, fwd_kps))
            if len(common_set) < 4:
                continue
            key = (backward_id, forward_id)
            if key not in segments_seen:
                segments_seen[key] = (bwd_kps, fwd_kps, common_set)
        already_rewritten: set[int] = set()
        for (backward_id, forward_id), (bwd_kps, fwd_kps, common_set) in segments_seen.items():
            gap = forward_id - backward_id
            if gap <= 0:
                continue
            for interp_id in range(backward_id + 1, forward_id):
                if interp_id not in batch_frame_ids or interp_id in already_rewritten:
                    continue
                local_idx = interp_id - offset
                if local_idx < 0 or local_idx >= len(images):
                    continue
                video_frame = images[local_idx]
                weight = (interp_id - backward_id) / gap
                max_len = max(len(bwd_kps), len(fwd_kps), _N0)
                new_kps: list[list[float]] = []
                for i in range(max_len):
                    if i in common_set and i < len(bwd_kps) and i < len(fwd_kps):
                        bx = float(bwd_kps[i][0])
                        by = float(bwd_kps[i][1])
                        fx = float(fwd_kps[i][0])
                        fy = float(fwd_kps[i][1])
                        new_kps.append([bx + (fx - bx) * weight, by + (fy - by) * weight])
                    else:
                        new_kps.append([0.0, 0.0])
                if len(new_kps) < _N0:
                    new_kps.extend([[0.0, 0.0]] * (_N0 - len(new_kps)))
                else:
                    new_kps = new_kps[:_N0]
                before_score = score_map.get(interp_id, 0.0)
                new_score, kps_to_apply = _z2_score_and_kps(new_kps, video_frame, template_image)
                if new_score <= before_score:
                    continue
                keypoints_by_frame[interp_id] = kps_to_apply if kps_to_apply is not None else new_kps
                score_map[interp_id] = new_score
                already_rewritten.add(interp_id)
                total_updated += 1
    return total_updated


class _Bx(BaseModel):
    x1: int
    y1: int
    x2: int
    y2: int
    cls_id: int
    conf: float
    team_id: str | None = None


class _FRes(BaseModel):
    frame_id: int
    boxes: List[Dict[str, Any]]
    keypoints: List[List[float]]


_FRes.model_rebuild()


class _Cfg:
    def __init__(self, min_area: int = 1300, overlap_iou: float = 0.91):
        self.overlap_iou = overlap_iou


def _d1(bb: _Bx, cy: float) -> float:
    my = 0.5 * (float(bb.y1) + float(bb.y2))
    return (my - cy) ** 2


def _i1(a: _Bx, b: _Bx) -> float:
    ax1, ay1, ax2, ay2 = int(a.x1), int(a.y1), int(a.x2), int(a.y2)
    bx1, by1, bx2, by2 = int(b.x1), int(b.y1), int(b.x2), int(b.y2)
    ix1, iy1 = max(ax1, bx1), max(ay1, by1)
    ix2, iy2 = min(ax2, bx2), min(ay2, by2)
    iw, ih = max(0, ix2 - ix1), max(0, iy2 - iy1)
    inter = iw * ih
    if inter <= 0:
        return 0.0
    area_a = (ax2 - ax1) * (ay2 - ay1)
    area_b = (bx2 - bx1) * (by2 - by1)
    union = area_a + area_b - inter
    return inter / union if union > 0 else 0.0


def _iou_box4(a: tuple[float, float, float, float], b: tuple[float, float, float, float]) -> float:
    ax1, ay1, ax2, ay2 = a
    bx1, by1, bx2, by2 = b
    ix1, iy1 = max(ax1, bx1), max(ay1, by1)
    ix2, iy2 = min(ax2, bx2), min(ay2, by2)
    iw, ih = max(0.0, ix2 - ix1), max(0.0, iy2 - iy1)
    inter = iw * ih
    if inter <= 0:
        return 0.0
    area_a = (ax2 - ax1) * (ay2 - ay1)
    area_b = (bx2 - bx1) * (by2 - by1)
    union = area_a + area_b - inter
    return inter / union if union > 0 else 0.0


def _match_tracks_detections(
    prev_list: list[tuple[int, tuple[float, float, float, float]]],
    curr_boxes: list[tuple[float, float, float, float]],
    iou_thresh: float,
    exclude_prev: set[int],
    exclude_curr: set[int],
) -> list[tuple[int, int]]:
    prev_filtered = [(pi, tid, pbox) for pi, (tid, pbox) in enumerate(prev_list) if pi not in exclude_prev]
    curr_filtered = [(ci, cbox) for ci, cbox in enumerate(curr_boxes) if ci not in exclude_curr]
    if not prev_filtered or not curr_filtered:
        return []
    n_prev, n_curr = len(prev_filtered), len(curr_filtered)
    iou_mat = np.zeros((n_prev, n_curr), dtype=np.float64)
    for i, (_, _, pbox) in enumerate(prev_filtered):
        for j, (_, cbox) in enumerate(curr_filtered):
            iou_mat[i, j] = _iou_box4(pbox, cbox)
    cost = 1.0 - iou_mat
    cost[iou_mat < iou_thresh] = 1e9
    if _linear_sum_assignment is not None:
        row_ind, col_ind = _linear_sum_assignment(cost)
        matches = [
            (prev_filtered[row_ind[k]][0], curr_filtered[col_ind[k]][0])
            for k in range(len(row_ind))
            if cost[row_ind[k], col_ind[k]] < 1.0
        ]
    else:
        matches = []
        iou_pairs = [
            (iou_mat[i, j], i, j)
            for i in range(n_prev)
            for j in range(n_curr)
            if iou_mat[i, j] >= iou_thresh
        ]
        iou_pairs.sort(key=lambda x: -x[0])
        used_prev, used_curr = set(), set()
        for _, i, j in iou_pairs:
            pi = prev_filtered[i][0]
            ci = curr_filtered[j][0]
            if pi in used_prev or ci in used_curr:
                continue
            matches.append((pi, ci))
            used_prev.add(pi)
            used_curr.add(ci)
    return matches


def _predict_box(prev: tuple[float, float, float, float], last: tuple[float, float, float, float]) -> tuple[float, float, float, float]:
    px1, py1, px2, py2 = prev
    lx1, ly1, lx2, ly2 = last
    pcx = 0.5 * (px1 + px2)
    pcy = 0.5 * (py1 + py2)
    lcx = 0.5 * (lx1 + lx2)
    lcy = 0.5 * (ly1 + ly2)
    w = lx2 - lx1
    h = ly2 - ly1
    ncx = 2.0 * lcx - pcx
    ncy = 2.0 * lcy - pcy
    return (ncx - w * 0.5, ncy - h * 0.5, ncx + w * 0.5, ncy + h * 0.5)


def _assign_person_track_ids(
    prev_state: dict[int, tuple[tuple[float, float, float, float], tuple[float, float, float, float], int]],
    next_id: int,
    results: list,
    iou_thresh: float = _TRACK_IOU_THRESH,
    iou_high: float = _TRACK_IOU_HIGH,
    iou_low: float = _TRACK_IOU_LOW,
    max_age: int = _TRACK_MAX_AGE,
    use_velocity: bool = _TRACK_USE_VELOCITY,
) -> tuple[dict[int, tuple[tuple[float, float, float, float], tuple[float, float, float, float], int]], int, list[list[int]]]:
    state = {tid: (prev_box, last_box, age) for tid, (prev_box, last_box, age) in prev_state.items()}
    nid = next_id
    ids_per_result: list[list[int]] = []
    for result in results:
        if getattr(result, "boxes", None) is None or len(result.boxes) == 0:
            state = {
                tid: (prev_box, last_box, age + 1)
                for tid, (prev_box, last_box, age) in state.items()
                if age + 1 <= max_age
            }
            ids_per_result.append([])
            continue
        b = result.boxes
        xyxy = b.xyxy.cpu().numpy()
        curr_boxes = [tuple(float(x) for x in row) for row in xyxy]
        prev_list: list[tuple[int, tuple[float, float, float, float]]] = []
        for tid, (prev_box, last_box, _age) in state.items():
            if use_velocity and (prev_box != last_box):
                pbox = _predict_box(prev_box, last_box)
            else:
                pbox = last_box
            prev_list.append((tid, pbox))
        stage1 = _match_tracks_detections(prev_list, curr_boxes, iou_high, set(), set())
        assigned_prev = {pi for pi, _ in stage1}
        assigned_curr = {ci for _, ci in stage1}
        stage2 = _match_tracks_detections(prev_list, curr_boxes, iou_low, assigned_prev, assigned_curr)
        for pi, ci in stage2:
            assigned_prev.add(pi)
            assigned_curr.add(ci)
        tid_per_curr: dict[int, int] = {}
        for pi, ci in stage1 + stage2:
            tid_per_curr[ci] = prev_list[pi][0]
        ids: list[int] = []
        new_state: dict[int, tuple[tuple[float, float, float, float], tuple[float, float, float, float], int]] = {}
        for ci, cbox in enumerate(curr_boxes):
            if ci in tid_per_curr:
                tid = tid_per_curr[ci]
                _prev, last_box, _ = state[tid]
                new_state[tid] = (last_box, cbox, 0)
            else:
                tid = nid
                nid += 1
                new_state[tid] = (cbox, cbox, 0)
            ids.append(tid)
        for pi in range(len(prev_list)):
            if pi in assigned_prev:
                continue
            tid = prev_list[pi][0]
            prev_box, last_box, age = state[tid]
            if age + 1 <= max_age:
                new_state[tid] = (prev_box, last_box, age + 1)
        state = new_state
        ids_per_result.append(ids)
    return (state, nid, ids_per_result)


def _s0(
    results: list[_FRes],
    window: int = _S0,
    tids_by_frame: dict[int, list[int | None]] | None = None,
) -> list[_FRes]:
    if window <= 1 or not results:
        return results
    fid_to_idx = {r.frame_id: i for i, r in enumerate(results)}
    trajectories: dict[int, list[tuple[int, int, _Bx]]] = {}
    for i, r in enumerate(results):
        boxes_as_bx = [_Bx(**b) if isinstance(b, dict) else b for b in r.boxes]
        for j, bb in enumerate(boxes_as_bx):
            tid = tids_by_frame.get(r.frame_id, [None] * len(r.boxes))[j] if tids_by_frame else None
            if tid is not None and tid >= 0:
                tid = int(tid)
                if tid not in trajectories:
                    trajectories[tid] = []
                trajectories[tid].append((r.frame_id, j, bb))
    smoothed: dict[tuple[int, int], tuple[int, int, int, int]] = {}
    half = window // 2
    for tid, items in trajectories.items():
        items.sort(key=lambda x: x[0])
        n = len(items)
        for k in range(n):
            fid, box_idx, bb = items[k]
            result_idx = fid_to_idx[fid]
            lo = max(0, k - half)
            hi = min(n, k + half + 1)
            cx_list = []
            cy_list = []
            w_list = []
            h_list = []
            for m in range(lo, hi):
                b = items[m][2]
                cx_list.append(0.5 * (b.x1 + b.x2))
                cy_list.append(0.5 * (b.y1 + b.y2))
                w_list.append(b.x2 - b.x1)
                h_list.append(b.y2 - b.y1)
            cx_avg = sum(cx_list) / len(cx_list)
            cy_avg = sum(cy_list) / len(cy_list)
            w_avg = sum(w_list) / len(w_list)
            h_avg = sum(h_list) / len(h_list)
            x1_new = int(round(cx_avg - w_avg / 2))
            y1_new = int(round(cy_avg - h_avg / 2))
            x2_new = int(round(cx_avg + w_avg / 2))
            y2_new = int(round(cy_avg + h_avg / 2))
            smoothed[(result_idx, box_idx)] = (x1_new, y1_new, x2_new, y2_new)
    out: list[_FRes] = []
    for i, r in enumerate(results):
        boxes_as_bx = [_Bx(**b) if isinstance(b, dict) else b for b in r.boxes]
        new_boxes: list[_Bx] = []
        for j, bb in enumerate(boxes_as_bx):
            key = (i, j)
            if key in smoothed:
                x1, y1, x2, y2 = smoothed[key]
                new_boxes.append(
                    _Bx(
                        x1=x1,
                        y1=y1,
                        x2=x2,
                        y2=y2,
                        cls_id=int(bb.cls_id),
                        conf=float(bb.conf),
                        team_id=bb.team_id,
                    )
                )
            else:
                new_boxes.append(
                    _Bx(
                        x1=int(bb.x1),
                        y1=int(bb.y1),
                        x2=int(bb.x2),
                        y2=int(bb.y2),
                        cls_id=int(bb.cls_id),
                        conf=float(bb.conf),
                        team_id=bb.team_id,
                    )
                )
        out.append(_FRes(frame_id=r.frame_id, boxes=[{"x1": b.x1, "y1": b.y1, "x2": b.x2, "y2": b.y2, "cls_id": b.cls_id, "conf": round(float(b.conf), 2), "team_id": b.team_id} for b in new_boxes], keypoints=r.keypoints))
    return out


def _a0(
    bboxes: Iterable[_Bx],
    *,
    frame_width: int,
    frame_height: int,
    cfg: _Cfg | None = None,
    do_goalkeeper_dedup: bool = True,
    do_referee_disambiguation: bool = False,
    do_ball_dedup: bool = True,
) -> list[_Bx]:
    cfg = cfg or _Cfg()
    W, H = int(frame_width), int(frame_height)
    cy = 0.5 * float(H)
    kept: list[_Bx] = list(bboxes or [])
    if cfg.overlap_iou > 0 and len(kept) > 1:
        balls = [bb for bb in kept if int(bb.cls_id) == _C0]
        non_balls = [bb for bb in kept if int(bb.cls_id) != _C0]
        if len(non_balls) > 1:
            non_balls_sorted = sorted(non_balls, key=lambda bb: float(bb.conf), reverse=True)
            kept_nb = []
            for cand in non_balls_sorted:
                skip = False
                for k in kept_nb:
                    iou = _i1(cand, k)
                    if iou >= cfg.overlap_iou:
                        skip = True
                        break
                    if (
                        abs(int(cand.x1) - int(k.x1)) <= 3
                        and abs(int(cand.y1) - int(k.y1)) <= 3
                        and abs(int(cand.x2) - int(k.x2)) <= 3
                        and abs(int(cand.y2) - int(k.y2)) <= 3
                        and iou > 0.85
                    ):
                        skip = True
                        break
                if not skip:
                    kept_nb.append(cand)
            kept = kept_nb + balls
    if do_goalkeeper_dedup:
        gks = [bb for bb in kept if int(bb.cls_id) == _C1]
        if len(gks) > 1:
            best_gk = max(gks, key=lambda bb: float(bb.conf))
            best_gk_conf = float(best_gk.conf)
            deduped = []
            for bb in kept:
                if int(bb.cls_id) == _C1:
                    if float(bb.conf) < best_gk_conf or (float(bb.conf) == best_gk_conf and bb is not best_gk):
                        deduped.append(_Bx(x1=bb.x1, y1=bb.y1, x2=bb.x2, y2=bb.y2, cls_id=_C2, conf=float(bb.conf), team_id="1"))
                    else:
                        deduped.append(bb)
                else:
                    deduped.append(bb)
            kept = deduped
    if do_referee_disambiguation:
        refs = [bb for bb in kept if int(bb.cls_id) == _C3]
        if len(refs) > 1:
            best_ref = min(refs, key=lambda bb: _d1(bb, cy))
            kept = [bb for bb in kept if int(bb.cls_id) != _C3 or bb is best_ref]
    if do_ball_dedup:
        balls = [bb for bb in kept if int(bb.cls_id) == _C0]
        if len(balls) > 1:
            best_ball = max(balls, key=lambda bb: float(bb.conf))
            kept = [bb for bb in kept if int(bb.cls_id) != _C0] + [best_ball]
    return kept


def _k0(feats: np.ndarray, iters: int = 20) -> tuple[np.ndarray, np.ndarray]:
    n, d = feats.shape
    if n <= 0:
        return np.zeros((2, d), dtype=np.float32), np.zeros(0, dtype=np.int64)
    if n == 1:
        return np.stack([feats[0], feats[0]], axis=0), np.zeros(1, dtype=np.int64)
    c0 = feats[0]
    d0 = np.linalg.norm(feats - c0[None, :], axis=1)
    c1 = feats[int(np.argmax(d0))]
    d1 = np.linalg.norm(feats - c1[None, :], axis=1)
    c0 = feats[int(np.argmax(d1))]
    centroids = np.stack([c0, c1], axis=0).astype(np.float32)
    labels = np.zeros(n, dtype=np.int64)
    for _ in range(iters):
        dist = ((feats[:, None, :] - centroids[None, :, :]) ** 2).sum(axis=2)
        labels = dist.argmin(axis=1)
        for k in (0, 1):
            sel = feats[labels == k]
            if len(sel) > 0:
                centroids[k] = sel.mean(axis=0)
    return centroids, labels


def _m0(prev: np.ndarray, new: np.ndarray) -> np.ndarray:
    d00 = np.sum((prev[0] - new[0]) ** 2)
    d11 = np.sum((prev[1] - new[1]) ** 2)
    d01 = np.sum((prev[0] - new[1]) ** 2)
    d10 = np.sum((prev[1] - new[0]) ** 2)
    if d00 + d11 <= d01 + d10:
        return new
    return np.stack([new[1], new[0]], axis=0)


# ── OSNet team classification (turbo5-style): embed + aggregate by track + KMeans ──
_USE_OSNET_TEAM = True  # if True and osnet weights exist, use OSNet for team assignment
OSNET_IMAGE_SIZE = (64, 32)  # (height, width)
OSNET_PREPROCESS = T.Compose([
    T.Resize(OSNET_IMAGE_SIZE),
    T.ToTensor(),
    T.Normalize(mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225]),
])


def _crop_upper_body_bx(frame: ndarray, box: _Bx) -> ndarray:
    return frame[
        max(0, box.y1) : max(0, box.y2),
        max(0, box.x1) : max(0, box.x2),
    ]


def _preprocess_osnet(crop: ndarray) -> torch.Tensor:
    rgb = cv2.cvtColor(crop, cv2.COLOR_BGR2RGB)
    pil = Image.fromarray(rgb)
    return OSNET_PREPROCESS(pil)


def _filter_player_boxes_bx(boxes: list[_Bx]) -> list[_Bx]:
    return [b for b in boxes if int(b.cls_id) == _C2]


# OSNet architecture (from turbo5)
class _ConvLayer(nn.Module):
    def __init__(self, in_channels, out_channels, kernel_size, stride=1, padding=0, groups=1, IN=False):
        super().__init__()
        self.conv = nn.Conv2d(in_channels, out_channels, kernel_size, stride=stride, padding=padding, bias=False, groups=groups)
        self.bn = nn.InstanceNorm2d(out_channels, affine=True) if IN else nn.BatchNorm2d(out_channels)
        self.relu = nn.ReLU()

    def forward(self, x):
        return self.relu(self.bn(self.conv(x)))


class _Conv1x1(nn.Module):
    def __init__(self, in_channels, out_channels, stride=1, groups=1):
        super().__init__()
        self.conv = nn.Conv2d(in_channels, out_channels, 1, stride=stride, padding=0, bias=False, groups=groups)
        self.bn = nn.BatchNorm2d(out_channels)
        self.relu = nn.ReLU()

    def forward(self, x):
        return self.relu(self.bn(self.conv(x)))


class _Conv1x1Linear(nn.Module):
    def __init__(self, in_channels, out_channels, stride=1, bn=True):
        super().__init__()
        self.conv = nn.Conv2d(in_channels, out_channels, 1, stride=stride, padding=0, bias=False)
        self.bn = nn.BatchNorm2d(out_channels) if bn else None

    def forward(self, x):
        x = self.conv(x)
        return self.bn(x) if self.bn is not None else x


class _Conv3x3(nn.Module):
    def __init__(self, in_channels, out_channels, stride=1, groups=1):
        super().__init__()
        self.conv = nn.Conv2d(in_channels, out_channels, 3, stride=stride, padding=1, bias=False, groups=groups)
        self.bn = nn.BatchNorm2d(out_channels)
        self.relu = nn.ReLU()

    def forward(self, x):
        return self.relu(self.bn(self.conv(x)))


class _LightConv3x3(nn.Module):
    def __init__(self, in_channels, out_channels):
        super().__init__()
        self.conv1 = nn.Conv2d(in_channels, out_channels, 1, stride=1, padding=0, bias=False)
        self.conv2 = nn.Conv2d(out_channels, out_channels, 3, stride=1, padding=1, bias=False, groups=out_channels)
        self.bn = nn.BatchNorm2d(out_channels)
        self.relu = nn.ReLU()

    def forward(self, x):
        x = self.conv1(x)
        x = self.conv2(x)
        return self.relu(self.bn(x))


class _LightConvStream(nn.Module):
    def __init__(self, in_channels, out_channels, depth):
        super().__init__()
        layers = [_LightConv3x3(in_channels, out_channels)]
        for _ in range(depth - 1):
            layers.append(_LightConv3x3(out_channels, out_channels))
        self.layers = nn.Sequential(*layers)

    def forward(self, x):
        return self.layers(x)


class _ChannelGate(nn.Module):
    def __init__(self, in_channels, num_gates=None, return_gates=False, gate_activation="sigmoid", reduction=16, layer_norm=False):
        super().__init__()
        if num_gates is None:
            num_gates = in_channels
        self.return_gates = return_gates
        self.global_avgpool = nn.AdaptiveAvgPool2d(1)
        self.fc1 = nn.Conv2d(in_channels, in_channels // reduction, kernel_size=1, bias=True, padding=0)
        self.norm1 = nn.LayerNorm((in_channels // reduction, 1, 1)) if layer_norm else None
        self.relu = nn.ReLU()
        self.fc2 = nn.Conv2d(in_channels // reduction, num_gates, kernel_size=1, bias=True, padding=0)
        self.gate_activation = nn.Sigmoid() if gate_activation == "sigmoid" else nn.ReLU()

    def forward(self, x):
        inp = x
        x = self.global_avgpool(x)
        x = self.fc1(x)
        if self.norm1 is not None:
            x = self.norm1(x)
        x = self.relu(x)
        x = self.fc2(x)
        if self.gate_activation is not None:
            x = self.gate_activation(x)
        return x if self.return_gates else inp * x


class _OSBlockX1(nn.Module):
    def __init__(self, in_channels, out_channels, IN=False, bottleneck_reduction=4):
        super().__init__()
        mid_channels = out_channels // bottleneck_reduction
        self.conv1 = _Conv1x1(in_channels, mid_channels)
        self.conv2a = _LightConv3x3(mid_channels, mid_channels)
        self.conv2b = nn.Sequential(_LightConv3x3(mid_channels, mid_channels), _LightConv3x3(mid_channels, mid_channels))
        self.conv2c = nn.Sequential(_LightConv3x3(mid_channels, mid_channels), _LightConv3x3(mid_channels, mid_channels), _LightConv3x3(mid_channels, mid_channels))
        self.conv2d = nn.Sequential(_LightConv3x3(mid_channels, mid_channels), _LightConv3x3(mid_channels, mid_channels), _LightConv3x3(mid_channels, mid_channels), _LightConv3x3(mid_channels, mid_channels))
        self.gate = _ChannelGate(mid_channels)
        self.conv3 = _Conv1x1Linear(mid_channels, out_channels)
        self.downsample = _Conv1x1Linear(in_channels, out_channels) if in_channels != out_channels else None
        self.IN = nn.InstanceNorm2d(out_channels, affine=True) if IN else None

    def forward(self, x):
        identity = x
        x1 = self.conv1(x)
        x2 = self.gate(self.conv2a(x1)) + self.gate(self.conv2b(x1)) + self.gate(self.conv2c(x1)) + self.gate(self.conv2d(x1))
        x3 = self.conv3(x2)
        if self.downsample is not None:
            identity = self.downsample(identity)
        out = x3 + identity
        if self.IN is not None:
            out = self.IN(out)
        return F.relu(out)


class _OSNetX1(nn.Module):
    def __init__(self, num_classes, blocks, layers, channels, feature_dim=512, loss="softmax", IN=False):
        super().__init__()
        self.loss = loss
        self.feature_dim = feature_dim
        self.conv1 = _ConvLayer(3, channels[0], 7, stride=2, padding=3, IN=IN)
        self.maxpool = nn.MaxPool2d(3, stride=2, padding=1)
        self.conv2 = self._make_layer(blocks[0], layers[0], channels[0], channels[1], reduce_spatial_size=True, IN=IN)
        self.conv3 = self._make_layer(blocks[1], layers[1], channels[1], channels[2], reduce_spatial_size=True)
        self.conv4 = self._make_layer(blocks[2], layers[2], channels[2], channels[3], reduce_spatial_size=False)
        self.conv5 = _Conv1x1(channels[3], channels[3])
        self.global_avgpool = nn.AdaptiveAvgPool2d(1)
        self.fc = self._construct_fc_layer(feature_dim, channels[3], dropout_p=None)
        self.classifier = nn.Linear(self.feature_dim, num_classes)
        self._init_params()

    def _make_layer(self, block, layer, in_channels, out_channels, reduce_spatial_size, IN=False):
        layers_list = [block(in_channels, out_channels, IN=IN)]
        for _ in range(1, layer):
            layers_list.append(block(out_channels, out_channels, IN=IN))
        if reduce_spatial_size:
            layers_list.append(nn.Sequential(_Conv1x1(out_channels, out_channels), nn.AvgPool2d(2, stride=2)))
        return nn.Sequential(*layers_list)

    def _construct_fc_layer(self, fc_dims, input_dim, dropout_p=None):
        if fc_dims is None or fc_dims < 0:
            self.feature_dim = input_dim
            return None
        if isinstance(fc_dims, int):
            fc_dims = [fc_dims]
        layers_list = []
        for dim in fc_dims:
            layers_list.append(nn.Linear(input_dim, dim))
            layers_list.append(nn.BatchNorm1d(dim))
            layers_list.append(nn.ReLU(inplace=True))
            if dropout_p is not None:
                layers_list.append(nn.Dropout(p=dropout_p))
            input_dim = dim
        self.feature_dim = fc_dims[-1]
        return nn.Sequential(*layers_list)

    def _init_params(self):
        for m in self.modules():
            if isinstance(m, nn.Conv2d):
                nn.init.kaiming_normal_(m.weight, mode="fan_out", nonlinearity="relu")
                if m.bias is not None:
                    nn.init.constant_(m.bias, 0)
            elif isinstance(m, (nn.BatchNorm2d, nn.BatchNorm1d)):
                nn.init.constant_(m.weight, 1)
                nn.init.constant_(m.bias, 0)
            elif isinstance(m, nn.InstanceNorm2d):
                nn.init.constant_(m.weight, 1)
                nn.init.constant_(m.bias, 0)
            elif isinstance(m, nn.Linear):
                nn.init.normal_(m.weight, 0, 0.01)
                if m.bias is not None:
                    nn.init.constant_(m.bias, 0)

    def forward(self, x, return_featuremaps=False):
        x = self.conv1(x)
        x = self.maxpool(x)
        x = self.conv2(x)
        x = self.conv3(x)
        x = self.conv4(x)
        x = self.conv5(x)
        if return_featuremaps:
            return x
        v = self.global_avgpool(x)
        v = v.view(v.size(0), -1)
        if self.fc is not None:
            v = self.fc(v)
        if not self.training:
            return v
        y = self.classifier(v)
        if self.loss == "softmax":
            return y
        elif self.loss == "triplet":
            return y, v
        raise KeyError(f"Unsupported loss: {self.loss}")


def _osnet_x1_0(num_classes=1000, pretrained=True, loss="softmax", **kwargs):
    return _OSNetX1(
        num_classes,
        blocks=[_OSBlockX1, _OSBlockX1, _OSBlockX1],
        layers=[2, 2, 2],
        channels=[64, 256, 384, 512],
        loss=loss,
        **kwargs,
    )


def _load_checkpoint_osnet(fpath: str):
    fpath = os.path.abspath(os.path.expanduser(fpath))
    map_location = None if torch.cuda.is_available() else "cpu"
    return torch.load(fpath, map_location=map_location, weights_only=False)


def _load_pretrained_weights_osnet(model: nn.Module, weight_path: str) -> None:
    checkpoint = _load_checkpoint_osnet(weight_path)
    state_dict = checkpoint.get("state_dict", checkpoint)
    model_dict = model.state_dict()
    new_state_dict = OrderedDict()
    for k, v in state_dict.items():
        if k.startswith("module."):
            k = k[7:]
        if k in model_dict and model_dict[k].size() == v.size():
            new_state_dict[k] = v
    model_dict.update(new_state_dict)
    model.load_state_dict(model_dict)


def _load_osnet(device: str = "cuda", weight_path: Optional[Path] = None) -> Optional[nn.Module]:
    model = _osnet_x1_0(num_classes=1, loss="softmax", pretrained=False)
    if weight_path and Path(weight_path).exists():
        _load_pretrained_weights_osnet(model, str(weight_path))
    model.eval()
    model.to(device)
    return model


def _extract_osnet_embeddings(
    model: nn.Module,
    frames: list[ndarray],
    bboxes_by_frame: dict[int, list[_Bx]],
    track_ids_by_frame: dict[int, list[int | None]],
    frame_offset: int,
    device: str,
) -> tuple[Optional[ndarray], Optional[list[tuple[int, int, int | None]]]]:
    """Extract OSNet embeddings for player boxes; return (embeddings, meta) with meta = (frame_idx, box_idx, track_id)."""
    crops = []
    meta: list[tuple[int, int, int | None]] = []
    for fi in range(len(frames)):
        frame = frames[fi] if fi < len(frames) else None
        if frame is None:
            continue
        frame_id = frame_offset + fi
        boxes = bboxes_by_frame.get(frame_id, [])
        tids = track_ids_by_frame.get(frame_id, [None] * len(boxes))
        for bi, box in enumerate(boxes):
            if int(box.cls_id) != _C2:
                continue
            track_id = tids[bi] if bi < len(tids) else None
            crop = _crop_upper_body_bx(frame, box)
            if crop.size == 0:
                continue
            crops.append(_preprocess_osnet(crop))
            meta.append((fi, bi, track_id))
    if not crops:
        return None, None
    batch = torch.stack(crops).to(device).float()
    with torch.inference_mode():
        embeddings = model(batch)
    del batch
    embeddings = embeddings.cpu().numpy()
    return embeddings, meta


def _aggregate_by_track_osnet(
    embeddings: ndarray,
    meta: list[tuple[int, int, int | None]],
) -> tuple[ndarray, list[tuple[int, int, int | None]]]:
    track_map: dict[int | None, list[int]] = defaultdict(list)
    meta_by_track: dict[int | None, tuple[int, int, int | None]] = {}
    for idx, (fi, bi, tid) in enumerate(meta):
        key = tid if tid is not None else id((fi, bi))
        track_map[key].append(idx)
        meta_by_track[key] = (fi, bi, tid)
    agg_embeddings = []
    agg_meta = []
    for key, indices in track_map.items():
        mean_emb = np.mean(embeddings[indices], axis=0)
        norm = np.linalg.norm(mean_emb)
        if norm > 1e-12:
            mean_emb /= norm
        agg_embeddings.append(mean_emb)
        agg_meta.append(meta_by_track[key])
    return np.array(agg_embeddings), agg_meta


def _classify_teams_osnet(
    agg_embeddings: ndarray,
    agg_meta: list[tuple[int, int, int | None]],
) -> dict[int | None, str]:
    """KMeans on aggregated embeddings; return track_id -> team_id '1' or '2'."""
    n = len(agg_embeddings)
    track_to_team: dict[int | None, str] = {}
    if n == 0:
        return track_to_team
    if n == 1:
        track_to_team[agg_meta[0][2]] = "1"
        return track_to_team
    kmeans = KMeans(n_clusters=2, n_init=2, random_state=42)
    kmeans.fit(agg_embeddings)
    centroids = kmeans.cluster_centers_
    c0, c1 = centroids[0], centroids[1]
    norm_0 = np.linalg.norm(c0)
    norm_1 = np.linalg.norm(c1)
    similarity = np.dot(c0, c1) / (norm_0 * norm_1 + 1e-12)
    if similarity > 0.95:
        for (_, _, tid) in agg_meta:
            track_to_team[tid] = "1"
        return track_to_team
    if norm_0 <= norm_1:
        kmeans.labels_ = 1 - kmeans.labels_
    for (fi, bi, tid), label in zip(agg_meta, kmeans.labels_):
        track_to_team[tid] = "1" if label == 0 else "2"
    return track_to_team


class _Pl:
    def __init__(self, repo_root: Path) -> None:
        self.repo_root = Path(repo_root)
        self._executor = ThreadPoolExecutor(max_workers=3)
        self._track_id_to_team_votes: dict[int, dict[str, int]] = {}
        self._track_id_to_class_votes: dict[int, dict[int, int]] = {}
        self._osnet_model: Optional[nn.Module] = None
        self._osnet_device = "cuda" if torch.cuda.is_available() else "cpu"
        if _USE_OSNET_TEAM:
            _osnet_path = self.repo_root / "models" / "osnet_model.pth.tar-100"
            if _osnet_path.exists():
                try:
                    self._osnet_model = _load_osnet(self._osnet_device, _osnet_path)
                except Exception:
                    self._osnet_model = None
        self._tracker_config = "botsort.yaml"
        models_dir = self.repo_root / "models"
        if _B2:
            self.ball_model = YOLO(str(models_dir / "ball-detection-model.onnx"), task="detect")
        else:
            self.ball_model = None
        self.person_model = YOLO(str(models_dir / "person-detection-model.onnx"), task="detect")
        self._person_tracker_state: dict[int, tuple[tuple[float, float, float, float], tuple[float, float, float, float], int]] = {}
        self._person_tracker_next_id = 0
        self._keypoint_model_hrnet = None
        _yaml_path = self.repo_root / "hrnetv2_w48.yaml"
        _weights_path = self.repo_root / "models" / "keypoint"
        if _f0 and _yaml_path.exists() and _weights_path.exists():
            try:
                self._keypoint_model_hrnet = _l0(
                    self.repo_root, weights_subdir="models"
                )
            except Exception:
                self._keypoint_model_hrnet = None
        self._current_batch_bbox_timings: list[tuple[str, float]] = []
        self._current_batch_kp_timings: list[tuple[str, float]] = []
        self._prev_batch_tail_tid_counts: dict[int, int] = {}

    def reset_for_new_video(self) -> None:
        self._track_id_to_team_votes.clear()
        self._track_id_to_class_votes.clear()
        self._prev_batch_tail_tid_counts.clear()
        self._person_tracker_state.clear()
        self._person_tracker_next_id = 0

    def _keypoint_hrnet_task(
        self,
        images: list[ndarray],
        offset: int,
        n_keypoints: int,
    ) -> dict[int, list[list[float]]]:
        _kp_timings: list[tuple[str, float]] = []
        t_total = time.perf_counter()
        default_kps = [[0.0, 0.0] for _ in range(n_keypoints)]
        if not _f0 or self._keypoint_model_hrnet is None:
            self._current_batch_kp_timings = []
            return {offset + i: list(default_kps) for i in range(len(images))}
        device = "cuda" if next(self._keypoint_model_hrnet.parameters()).is_cuda else "cpu"
        kp_threshold = 0.2
        _t = time.perf_counter()
        kp_result = _x0(
            images, self._keypoint_model_hrnet, kp_threshold, device, batch_size=_KP_BS
        )
        _kp_timings.append(("kp_hrnet", time.perf_counter() - _t))
        _t = time.perf_counter()
        h, w = images[0].shape[:2]
        if n_keypoints == 32:
            keypoints_xyp = _normalize_keypoints_xyp(kp_result, images, n_keypoints)
            if _FKP_FAST_MODE:
                job = _fkp_normalize_results(keypoints_xyp, _FKP_SINGLE_THRESHOLD)
                keypoints = []
                for idx in range(len(images)):
                    kps = _fix_keypoints(job[idx] if idx < len(job) else [(0, 0)] * 32, n_keypoints)
                    adjusted = _step8_one_frame_kp(kps, w, h, False, n_keypoints)
                    keypoints.append(_keypoints_to_float(adjusted if adjusted is not None else kps))
            else:
                job = _fkp_normalize_results(keypoints_xyp, _FKP_SINGLE_THRESHOLD)
                keypoints = []
                for idx in range(len(images)):
                    kps = _fix_keypoints(job[idx] if idx < len(job) else [(0, 0)] * 32, n_keypoints)
                    kps_float = _keypoints_to_float(kps)
                    try:
                        refined = _apply_homography_refinement(kps_float, images[idx], n_keypoints)
                        keypoints.append(refined)
                    except Exception:
                        keypoints.append(kps_float)
        else:
            keypoints = _n0(kp_result, images, n_keypoints)
            keypoints = [_fix_keypoints(kps, n_keypoints) for kps in keypoints]
            keypoints = [_keypoints_to_float(kps) for kps in keypoints]
        _kp_timings.append(("kp_normalize", time.perf_counter() - _t))
        _t = time.perf_counter()
        out: dict[int, list[list[float]]] = {}
        for i, kpts in enumerate(keypoints):
            out[offset + i] = _c1(kpts)
        _kp_timings.append(("kp_to_output", time.perf_counter() - _t))
        _kp_timings.append(("kp_total", time.perf_counter() - t_total))
        self._current_batch_kp_timings = _kp_timings
        return out

    def _bbox_task(
        self,
        images: list[ndarray],
        offset: int,
        imgsz: int,
        conf: float,
        onnx_batch_size: int,
    ) -> dict[int, list[_Bx]]:
        _bbox_timings: list[tuple[str, float]] = []
        _t0 = time.perf_counter()

        ball_res: list = []
        if _B2 and self.ball_model is not None:
            _t = time.perf_counter()
            for start in range(0, len(images), onnx_batch_size):
                chunk = images[start : start + onnx_batch_size]
                batch_res = self.ball_model.predict(chunk, imgsz=imgsz, conf=conf, verbose=False)
                ball_res.extend(batch_res if batch_res else [])
            _bbox_timings.append(("bbox_ball_detect", time.perf_counter() - _t))
        _t = time.perf_counter()
        batch_res = self.person_model(images, imgsz=_D0_PERSON, conf=conf, iou=0.5, agnostic_nms=True, verbose=False)
        if not isinstance(batch_res, list):
            batch_res = [batch_res] if batch_res is not None else []
        self._person_tracker_state, self._person_tracker_next_id, person_track_ids = _assign_person_track_ids(
            self._person_tracker_state, self._person_tracker_next_id, batch_res, _TRACK_IOU_THRESH
        )
        person_res = batch_res
        _bbox_timings.append(("bbox_person_track", time.perf_counter() - _t))

        bboxes_by_frame: dict[int, list[_Bx]] = {}
        track_ids_by_frame: dict[int, list[int | None]] = {}
        boxes_raw_list: list[list[_Bx]] = []
        track_ids_raw_list: list[list[int | None]] = []
        bbox_to_track_list: list[dict[tuple[int, int, int, int], int]] = []
        _t = time.perf_counter()
        for i, frame in enumerate(images):
            frame_id = offset + i
            boxes_raw = []
            track_ids_raw: list[int | None] = []
            bbox_to_track: dict[tuple[int, int, int, int], int] = {}
            if _B2:
                det_ball = ball_res[i] if i < len(ball_res) else None
                if det_ball is not None and getattr(det_ball, "boxes", None) is not None and len(det_ball.boxes) > 0:
                    b = det_ball.boxes
                    xyxy = b.xyxy.cpu().numpy()
                    confs = b.conf.cpu().numpy() if b.conf is not None else np.ones(len(xyxy), dtype=np.float32)
                    clss = b.cls.cpu().numpy().astype(int) if b.cls is not None else np.zeros(len(xyxy), dtype=np.int32)
                    for (x1, y1, x2, y2), c, cf in zip(xyxy, clss, confs):
                        if int(c) == 0:
                            boxes_raw.append(_Bx(x1=int(round(x1)), y1=int(round(y1)), x2=int(round(x2)), y2=int(round(y2)), cls_id=_C0, conf=float(cf)))
                            track_ids_raw.append(None)
            det_p = person_res[i] if i < len(person_res) else None
            if det_p is not None and getattr(det_p, "boxes", None) is not None and len(det_p.boxes) > 0:
                b = det_p.boxes
                xyxy = b.xyxy.cpu().numpy()
                confs = b.conf.cpu().numpy() if b.conf is not None else np.ones(len(xyxy), dtype=np.float32)
                clss = b.cls.cpu().numpy().astype(int) if b.cls is not None else np.zeros(len(xyxy), dtype=np.int32)
                if i < len(person_track_ids) and len(person_track_ids[i]) == len(clss):
                    track_ids = np.array(person_track_ids[i], dtype=np.int32)
                else:
                    track_ids = np.full(len(clss), -1, dtype=np.int32)
                for (x1, y1, x2, y2), c, cf, tid in zip(xyxy, clss, confs, track_ids):
                    c = int(c)
                    tid = int(tid)
                    x1r, y1r, x2r, y2r = int(round(x1)), int(round(y1)), int(round(x2)), int(round(y2))
                    if tid >= 0:
                        bbox_to_track[(x1r, y1r, x2r, y2r)] = tid
                    tid_out = tid if tid >= 0 else None
                    if c == 0:
                        boxes_raw.append(_Bx(x1=x1r, y1=y1r, x2=x2r, y2=y2r, cls_id=_C2, conf=float(cf)))
                        track_ids_raw.append(tid_out)
                    elif c == 1:
                        boxes_raw.append(_Bx(x1=x1r, y1=y1r, x2=x2r, y2=y2r, cls_id=_C3, conf=float(cf)))
                        track_ids_raw.append(tid_out)
                    elif c == 2:
                        boxes_raw.append(_Bx(x1=x1r, y1=y1r, x2=x2r, y2=y2r, cls_id=_C1, conf=float(cf)))
                        track_ids_raw.append(tid_out)
            boxes_raw_list.append(boxes_raw)
            track_ids_raw_list.append(track_ids_raw)
            bbox_to_track_list.append(bbox_to_track)
        _bbox_timings.append(("bbox_parse_ball_person", time.perf_counter() - _t))
        for i in range(len(images)):
            bboxes_by_frame[offset + i] = boxes_raw_list[i]
            track_ids_by_frame[offset + i] = track_ids_raw_list[i] if i < len(track_ids_raw_list) else [None] * len(boxes_raw_list[i])
        if _G0 and len(images) > _G2:
            _t = time.perf_counter()
            tid_counts: dict[int, int] = {}
            tid_first_frame: dict[int, int] = {}
            for fid in range(offset, offset + len(images)):
                tids = track_ids_by_frame.get(fid, [])
                for tid in tids:
                    if tid is not None and tid >= 0:
                        t = int(tid)
                        tid_counts[t] = tid_counts.get(t, 0) + 1
                        if t not in tid_first_frame or fid < tid_first_frame[t]:
                            tid_first_frame[t] = fid
            for t, prev_count in self._prev_batch_tail_tid_counts.items():
                tid_counts[t] = tid_counts.get(t, 0) + prev_count
                if prev_count > 0:
                    tid_first_frame[t] = offset + len(images)
            boundary = offset + len(images) - _G2
            noise_tids = {
                t for t, count in tid_counts.items()
                if count < _G1 and tid_first_frame[t] < boundary
            }
            for fid in range(offset, offset + len(images)):
                boxes = bboxes_by_frame.get(fid, [])
                tids = track_ids_by_frame.get(fid, [None] * len(boxes))
                if len(tids) != len(boxes):
                    tids = tids + [None] * (len(boxes) - len(tids))
                keep = [
                    i for i in range(len(boxes))
                    if tids[i] is None or int(tids[i]) not in noise_tids
                ]
                bboxes_by_frame[fid] = [boxes[i] for i in keep]
                track_ids_by_frame[fid] = [tids[i] for i in keep]
            tail_start = offset + len(images) - _G2
            self._prev_batch_tail_tid_counts = {}
            for fid in range(tail_start, offset + len(images)):
                tids = track_ids_by_frame.get(fid, [])
                for tid in tids:
                    if tid is not None and tid >= 0:
                        t = int(tid)
                        self._prev_batch_tail_tid_counts[t] = self._prev_batch_tail_tid_counts.get(t, 0) + 1
            _bbox_timings.append(("bbox_noise_filter", time.perf_counter() - _t))
        _t = time.perf_counter()
        for i, frame in enumerate(images):
            frame_id = offset + i
            boxes_raw = bboxes_by_frame[frame_id]
            track_ids_raw = track_ids_by_frame[frame_id]
            bbox_to_track = {(int(bb.x1), int(bb.y1), int(bb.x2), int(bb.y2)): int(tid) for bb, tid in zip(boxes_raw, track_ids_raw) if tid is not None and int(tid) >= 0}
            boxes_stabilized = []
            track_ids_stabilized: list[int | None] = []
            for idx, bb in enumerate(boxes_raw):
                best_tid = -1
                best_iou = 0.0
                for (bx1, by1, bx2, by2), tid in bbox_to_track.items():
                    iou = _i1(_Bx(x1=bb.x1, y1=bb.y1, x2=bb.x2, y2=bb.y2, cls_id=0, conf=0.0), _Bx(x1=bx1, y1=by1, x2=bx2, y2=by2, cls_id=0, conf=0.0))
                    if iou > best_iou and iou > 0.5:
                        best_iou, best_tid = iou, tid
                tid_out = best_tid if best_tid >= 0 else (track_ids_raw[idx] if idx < len(track_ids_raw) else None)
                if best_tid >= 0:
                    if _G5:
                        if best_tid not in self._track_id_to_class_votes:
                            self._track_id_to_class_votes[best_tid] = {}
                        cls_key = int(bb.cls_id)
                        self._track_id_to_class_votes[best_tid][cls_key] = self._track_id_to_class_votes[best_tid].get(cls_key, 0) + 1
                    boxes_stabilized.append(_Bx(x1=bb.x1, y1=bb.y1, x2=bb.x2, y2=bb.y2, cls_id=bb.cls_id, conf=bb.conf, team_id=None))
                    track_ids_stabilized.append(tid_out)
                else:
                    boxes_stabilized.append(_Bx(x1=bb.x1, y1=bb.y1, x2=bb.x2, y2=bb.y2, cls_id=bb.cls_id, conf=bb.conf, team_id=None))
                    track_ids_stabilized.append(tid_out)
            bboxes_by_frame[frame_id] = boxes_stabilized
            track_ids_by_frame[frame_id] = track_ids_stabilized
        _bbox_timings.append(("bbox_stabilize_track_ids", time.perf_counter() - _t))
        _t = time.perf_counter()
        for fid in range(offset, offset + len(images)):
            new_boxes = []
            tids_fid = track_ids_by_frame.get(fid, [None] * len(bboxes_by_frame[fid]))
            for box_idx, box in enumerate(bboxes_by_frame[fid]):
                tid = tids_fid[box_idx] if box_idx < len(tids_fid) else None
                if _G5 and tid is not None and tid >= 0 and tid in self._track_id_to_class_votes:
                    votes = self._track_id_to_class_votes[tid]
                    ref_votes = votes.get(_C3, 0)
                    gk_votes = votes.get(_C1, 0)
                    if _G6 and ref_votes > _G3:
                        majority_cls = _C3
                    elif _G7 and gk_votes > _G3:
                        majority_cls = _C1
                    else:
                        majority_cls = max(votes.items(), key=lambda x: x[1])[0]
                    new_boxes.append(_Bx(x1=box.x1, y1=box.y1, x2=box.x2, y2=box.y2, cls_id=majority_cls, conf=box.conf, team_id=None))
                else:
                    new_boxes.append(box)
            bboxes_by_frame[fid] = new_boxes
            track_ids_by_frame[fid] = tids_fid
        _bbox_timings.append(("bbox_class_votes", time.perf_counter() - _t))
        if _B5 and len(images) > 1:
            _t = time.perf_counter()
            track_to_frames: dict[int, list[tuple[int, _Bx]]] = {}
            for fid in range(offset, offset + len(images)):
                boxes = bboxes_by_frame.get(fid, [])
                tids = track_ids_by_frame.get(fid, [None] * len(boxes))
                for bb, tid in zip(boxes, tids):
                    if tid is not None and int(tid) >= 0:
                        t = int(tid)
                        track_to_frames.setdefault(t, []).append((fid, bb))
            to_add: dict[int, list[tuple[_Bx, int]]] = {}
            for t, pairs in track_to_frames.items():
                pairs.sort(key=lambda p: p[0])
                for i in range(len(pairs) - 1):
                    f1, b1 = pairs[i]
                    f2, b2 = pairs[i + 1]
                    if f2 - f1 <= 1:
                        continue
                    for g in range(f1 + 1, f2):
                        w = (g - f1) / (f2 - f1)
                        x1 = int(round((1 - w) * b1.x1 + w * b2.x1))
                        y1 = int(round((1 - w) * b1.y1 + w * b2.y1))
                        x2 = int(round((1 - w) * b1.x2 + w * b2.x2))
                        y2 = int(round((1 - w) * b1.y2 + w * b2.y2))
                        interp = _Bx(x1=x1, y1=y1, x2=x2, y2=y2, cls_id=b2.cls_id, conf=b2.conf, team_id=b2.team_id)
                        to_add.setdefault(g, []).append((interp, t))
            for g, add_list in to_add.items():
                bboxes_by_frame[g] = list(bboxes_by_frame.get(g, []))
                track_ids_by_frame[g] = list(track_ids_by_frame.get(g, []))
                for interp_box, tid in add_list:
                    bboxes_by_frame[g].append(interp_box)
                    track_ids_by_frame[g].append(tid)
            _bbox_timings.append(("bbox_interp_gaps", time.perf_counter() - _t))
        reid_team_per_frame: list[list[Optional[str]]] = [[None] * len(bboxes_by_frame[offset + fi]) for fi in range(len(images))]
        if self._osnet_model is not None:
            _t_reid_total = time.perf_counter()
            emb, meta = _extract_osnet_embeddings(
                self._osnet_model, images, bboxes_by_frame, track_ids_by_frame, offset, self._osnet_device
            )
            if emb is not None and meta is not None:
                agg_emb, agg_meta = _aggregate_by_track_osnet(emb, meta)
                track_to_team = _classify_teams_osnet(agg_emb, agg_meta)
                for fi in range(len(images)):
                    frame_id = offset + fi
                    boxes_f = bboxes_by_frame.get(frame_id, [])
                    tids_f = track_ids_by_frame.get(frame_id, [])
                    for bi in range(len(boxes_f)):
                        tid = tids_f[bi] if bi < len(tids_f) else None
                        if tid in track_to_team and bi < len(reid_team_per_frame[fi]):
                            reid_team_per_frame[fi][bi] = track_to_team[tid]
            _bbox_timings.append(("bbox_reid_team", time.perf_counter() - _t_reid_total))
        _t = time.perf_counter()
        for i in range(len(images)):
            frame_id = offset + i
            boxes = bboxes_by_frame[frame_id]
            tids_fid = track_ids_by_frame[frame_id]
            for box_idx, bb in enumerate(boxes):
                tid = tids_fid[box_idx] if box_idx < len(tids_fid) else None
                team_from_reid = reid_team_per_frame[i][box_idx] if box_idx < len(reid_team_per_frame[i]) else None
                if _G8 and tid is not None and tid >= 0 and team_from_reid:
                    if tid not in self._track_id_to_team_votes:
                        self._track_id_to_team_votes[tid] = {}
                    team_key = team_from_reid.strip()
                    self._track_id_to_team_votes[tid][team_key] = self._track_id_to_team_votes[tid].get(team_key, 0) + 1
        for fid in range(offset, offset + len(images)):
            new_boxes = []
            tids_fid = track_ids_by_frame.get(fid, [None] * len(bboxes_by_frame[fid]))
            fi = fid - offset
            for box_idx, box in enumerate(bboxes_by_frame[fid]):
                tid = tids_fid[box_idx] if box_idx < len(tids_fid) else None
                team_from_reid = reid_team_per_frame[fi][box_idx] if fi < len(reid_team_per_frame) and box_idx < len(reid_team_per_frame[fi]) else None
                default_team = team_from_reid or box.team_id
                if _G8 and tid is not None and tid >= 0 and tid in self._track_id_to_team_votes and self._track_id_to_team_votes[tid]:
                    majority_team = max(self._track_id_to_team_votes[tid].items(), key=lambda x: x[1])[0]
                else:
                    majority_team = default_team
                new_boxes.append(_Bx(x1=box.x1, y1=box.y1, x2=box.x2, y2=box.y2, cls_id=box.cls_id, conf=box.conf, team_id=majority_team))
            bboxes_by_frame[fid] = new_boxes
            track_ids_by_frame[fid] = tids_fid
        _bbox_timings.append(("bbox_team_votes", time.perf_counter() - _t))
        if len(images) > 0:
            _t = time.perf_counter()
            H, W = images[0].shape[:2]
            for fid in range(offset, offset + len(images)):
                orig_boxes = bboxes_by_frame[fid]
                orig_tids = track_ids_by_frame.get(fid, [None] * len(orig_boxes))
                adjusted = _a0(
                    orig_boxes,
                    frame_width=W,
                    frame_height=H,
                    do_goalkeeper_dedup=_B3,
                    do_referee_disambiguation=_B4,
                    do_ball_dedup=_B1,
                )
                adjusted_tids: list[int | None] = []
                used_orig = set()
                for ab in adjusted:
                    matched = None
                    for oi, ob in enumerate(orig_boxes):
                        if oi in used_orig:
                            continue
                        if ob.x1 == ab.x1 and ob.y1 == ab.y1 and ob.x2 == ab.x2 and ob.y2 == ab.y2:
                            matched = orig_tids[oi] if oi < len(orig_tids) else None
                            used_orig.add(oi)
                            break
                    adjusted_tids.append(matched)
                if _B0 > 0:
                    new_adjusted = []
                    new_adjusted_tids = []
                    for ab, tid in zip(adjusted, adjusted_tids):
                        if int(ab.cls_id) == _C0 and float(ab.conf) < _B0:
                            continue
                        new_adjusted.append(ab)
                        new_adjusted_tids.append(tid)
                    adjusted = new_adjusted
                    adjusted_tids = new_adjusted_tids
                if _q0 != 0.0 or _q1 != 0.0:
                    boxes_offset = []
                    offset_tids = []
                    for ab_idx, bb in enumerate(adjusted):
                        cx = 0.5 * (bb.x1 + bb.x2)
                        cy = 0.5 * (bb.y1 + bb.y2)
                        w = bb.x2 - bb.x1
                        h = bb.y2 - bb.y1
                        cx *= 1.0 + _q0
                        cy *= 1.0 + _q1
                        boxes_offset.append(_Bx(x1=int(round(cx - w/2)), y1=int(round(cy - h/2)), x2=int(round(cx + w/2)), y2=int(round(cy + h/2)), cls_id=bb.cls_id, conf=bb.conf, team_id=bb.team_id))
                        offset_tids.append(adjusted_tids[ab_idx] if ab_idx < len(adjusted_tids) else None)
                    adjusted = boxes_offset
                    adjusted_tids = offset_tids
                bboxes_by_frame[fid] = adjusted
                track_ids_by_frame[fid] = adjusted_tids
            _bbox_timings.append(("bbox_adjust_boxes", time.perf_counter() - _t))
        if _A0 and _S0 > 1 and len(images) > 0:
            _t = time.perf_counter()
            _tmp_results = []
            for fid in range(offset, offset + len(images)):
                _boxes = bboxes_by_frame.get(fid, [])
                _tmp_results.append(
                    _FRes(
                        frame_id=fid,
                        boxes=[{"x1": int(b.x1), "y1": int(b.y1), "x2": int(b.x2), "y2": int(b.y2), "cls_id": int(b.cls_id), "conf": round(float(b.conf), 2), "team_id": b.team_id} for b in _boxes],
                        keypoints=[],
                    )
                )
            _tmp_results = _s0(_tmp_results, window=_S0, tids_by_frame=track_ids_by_frame)
            for r in _tmp_results:
                bboxes_by_frame[int(r.frame_id)] = [_Bx(**box) for box in r.boxes]
            _bbox_timings.append(("bbox_smoothing", time.perf_counter() - _t))
        _bbox_timings.append(("bbox_total", time.perf_counter() - _t0))
        self._current_batch_bbox_timings = _bbox_timings
        return bboxes_by_frame

    def predict_batch(
        self,
        batch_images: list[ndarray],
        offset: int,
        n_keypoints: int,
    ) -> list[_FRes]:
        if not batch_images:
            return []
        if offset == 0:
            self.reset_for_new_video()
            gc.collect()
            try:
                import torch
                if torch.cuda.is_available():
                    torch.cuda.empty_cache()
            except Exception:
                pass
        images = list(batch_images)
        n_frames = len(images)
        imgsz = _D0
        conf = _D1
        executor = self._executor
        default_kps = [[0.0, 0.0] for _ in range(n_keypoints)]
        if _E0 and _E1 and _P0:
            future_bbox = executor.submit(self._bbox_task, images, offset, imgsz, conf, _BX_BS)
            future_kp = executor.submit(self._keypoint_hrnet_task, images, offset, n_keypoints)
            bboxes_by_frame = future_bbox.result()
            keypoints_by_frame = future_kp.result()
        elif _E0 and _E1:
            bboxes_by_frame = self._bbox_task(images, offset, imgsz, conf, _BX_BS)
            keypoints_by_frame = self._keypoint_hrnet_task(images, offset, n_keypoints)
        else:
            if _E0:
                bboxes_by_frame = self._bbox_task(images, offset, imgsz, conf, _BX_BS)
            else:
                bboxes_by_frame = {offset + i: [] for i in range(len(images))}
                self._current_batch_bbox_timings = []
            if _E1:
                keypoints_by_frame = self._keypoint_hrnet_task(images, offset, n_keypoints)
            else:
                keypoints_by_frame = {offset + i: list(default_kps) for i in range(len(images))}
                self._current_batch_kp_timings = []
        if _STEP0_ENABLED and keypoints_by_frame:
            _t = time.perf_counter()
            for fid in list(keypoints_by_frame.keys()):
                kps = keypoints_by_frame[fid]
                if isinstance(kps, list) and len(kps) == _N0:
                    _step0_remove_close_keypoints(kps, _STEP0_PROXIMITY_PX)
            self._current_batch_kp_timings.append(("kp_step0_remove_close", time.perf_counter() - _t))
        if _U0 and _E1 and keypoints_by_frame and n_keypoints == 32 and _N0 == 32:
            template_img: ndarray | None = getattr(self, "_kp_template_cache", None)
            if template_img is None:
                template_img = _y0()
                if template_img.size > 0 and template_img.sum() > 0:
                    self._kp_template_cache = template_img
                else:
                    template_img = None
            _t = time.perf_counter()
            for idx in range(len(images)):
                frame_id = offset + idx
                kps = keypoints_by_frame.get(frame_id)
                if not kps or len(kps) != 32:
                    continue
                frame = images[idx]
                frame_height, frame_width = frame.shape[:2]
                if template_img is not None:
                    step5_out = _z0(kps, frame, template_img)
                    if step5_out is not None:
                        keypoints_by_frame[frame_id] = step5_out
            if template_img is not None and _J1:
                _z8(keypoints_by_frame, images, offset, template_img)
            self._current_batch_kp_timings.append(("kp_homography", time.perf_counter() - _t))
            if _J4:
                _t = time.perf_counter()
                for idx in range(len(images)):
                    frame_id = offset + idx
                    kps = keypoints_by_frame.get(frame_id)
                    if not kps or len(kps) != 32:
                        continue
                    frame = images[idx]
                    frame_height, frame_width = frame.shape[:2]
                    adjusted = _z1(kps, frame_width, frame_height, _J0)
                    if adjusted is not None:
                        keypoints_by_frame[frame_id] = adjusted
                self._current_batch_kp_timings.append(("kp_adjust", time.perf_counter() - _t))
        results = []
        for idx in range(len(images)):
            frame_number = offset + idx
            kps = keypoints_by_frame.get(frame_number, [[0.0, 0.0] for _ in range(n_keypoints)])
            if len(kps) != n_keypoints:
                kps = (kps[:n_keypoints] if len(kps) >= n_keypoints else kps + [[0.0, 0.0]] * (n_keypoints - len(kps)))
            kps = [[round(float(kp[0]), 1), round(float(kp[1]), 1)] for kp in kps]
            boxes_raw = bboxes_by_frame.get(frame_number, [])
            boxes_for_result = [
                {
                    "x1": int(b.x1),
                    "y1": int(b.y1),
                    "x2": int(b.x2),
                    "y2": int(b.y2),
                    "cls_id": _CLS_TO_VALIDATOR.get(int(b.cls_id), int(b.cls_id)),
                    "conf": round(float(b.conf), 2),
                    "team_id": b.team_id,
                }
                for b in boxes_raw
            ]
            results.append(_FRes(frame_id=frame_number, boxes=boxes_for_result, keypoints=kps))
        return results

class _M:
    def __init__(self, path_hf_repo: Path) -> None:
        self.health = "Okay!!!"
        self.pipeline: _Pl | None = None
        self.path_hf_repo = Path(path_hf_repo)

    def __repr__(self) -> str:
        return self.health

    def predict_batch(
        self,
        batch_images: list[ndarray],
        offset: int,
        n_keypoints: int,
    ) -> list[_FRes]:
        if self.pipeline is None:
            self.pipeline = _Pl(repo_root=self.path_hf_repo)
        return self.pipeline.predict_batch(batch_images, offset, n_keypoints)


Miner = _M