ocaml: phase 5.1 count_paths_dag.ml baseline (source-to-sink paths = 3)
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Count source-to-sink paths in a DAG via Kahn's topological sort
plus accumulation:
paths[source] = 1
for u in topological order:
for v in adj[u]: paths[v] += paths[u]
Same 6-node DAG as topo_sort.ml:
0 -> {1, 2} 1 -> {3} 2 -> {3, 4} 3 -> {5} 4 -> {5}
The three witnesses 0 -> 5:
0 -> 1 -> 3 -> 5
0 -> 2 -> 3 -> 5
0 -> 2 -> 4 -> 5
Tests Queue-driven Kahn order + List.rev to recover topological
order, module-level mutable arrays (in_deg, paths), accumulation
in topological traversal.
191 baseline programs total.
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@@ -31,6 +31,7 @@
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"coin_change.ml": 6,
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"coin_min.ml": 6,
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"count_change.ml": 406,
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"count_paths_dag.ml": 3,
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"count_inversions.ml": 12,
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"count_palindromes.ml": 9,
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"count_subarrays_k.ml": 7,
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