code: def draw_first_k_couples(
      k: int, rdims: Tensor, dv: torch.device
  ) -> Tensor:
      # exhaustive search over the first n samples:
      # n(n+1)/2 = n2/2 + n/2 couples
      # max n for which we can exhaustively sample with k couples:
      # n2/2 + n/2 = k
      # n = sqrt(1/4 + 2k)-1/2 = (sqrt(8k+1)-1)/2
      max_exhaustive_search = int(math.sqrt(2 * k + 0.25) - 0.5)
      residual_search = int(
          k - max_exhaustive_search * (max_exhaustive_search + 1) / 2
      )
  
      repeats = torch.cat(
          [
              torch.arange(
                  max_exhaustive_search, dtype=torch.long, device=dv
              )
              + 1,
              torch.tensor(
                  [residual_search], dtype=torch.long, device=dv
              ),
          ]
      )
      idx_sequence = torch.stack(
          [
              repeats.repeat_interleave(repeats),
              arange_sequence(repeats),
          ],
          dim=-1,
      )
      return torch.remainder(idx_sequence.unsqueeze(-1), rdims)
  
file_path: kornia/kornia/feature/adalam/utils.py
imports: import math
  from typing import Tuple
  import torch
  from kornia.core import Tensor
label_desc: Use image node_id 10 for calling a global function with example usage: draw_first_k_couples(k, rdims, dv) and returns: torch