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ocaml: phase 5.1 unique_paths_obs.ml baseline (4x4 grid w/ obstacles = 3)
Standard 2D unique-paths DP with obstacles gating each cell:

  dp[i][j] = if grid[i][j] = 1 then 0
             else dp[i-1][j] + dp[i][j-1]

Grid (1s are obstacles):
  . . . .
  . # . .
  . . . #
  # . . .

dp:
  1 1 1 1
  1 0 1 2
  1 1 2 0
  0 1 3 3

Returns dp[3][3] = 3.

Complements grid_paths.ml (no-obstacles version) — same DP shape
but obstacles zero out cells and reshape the path count.

199 baseline programs total.
2026-05-11 05:14:47 +00:00
..