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Coding workflows · Minimum spanning forests

03
Built around your work

A concrete starting point

Find a minimum spanning forest for up to 64 nodes and 1024 integer-weighted edges with weights within ±10^9. Test disconnected nodes, parallel edges, self-loops and deterministic ties, rejecting invalid endpoints or Boolean values without changing the input.

01

Open the context

Choose the project folder and name the files or behavior involved.

02

Define the change

Describe the input, expected output and boundaries that must stay intact.

03

Inspect the work

Review the proposed edits and any commands before relying on their result.

04

Check the outcome

Compare actual behavior with the expected result. If a check fails, investigate it before applying more changes.

Minimum spanning forests

A concrete starting point
def spanning_forest(count, edges):
    if type(count) is not int or not 0 <= count <= 64 or type(edges) is not list or len(edges) > 1024:
        raise ValueError("forest.input")
    ordered = []
    for edge in edges:
        if type(edge) not in (list, tuple) or len(edge) != 3 or any(type(x) is not int for x in edge):
            raise ValueError("forest.edge")
        a, b, weight = edge
        if not 0 <= a < count or not 0 <= b < count or abs(weight) > 10**9:
            raise ValueError("forest.bounds")
        ordered.append((weight, min(a, b), max(a, b)))
    parent = list(range(count))
    def root(node):
        while parent[node] != node:
            parent[node] = parent[parent[node]]
            node = parent[node]
        return node
    selected, total = [], 0
    for weight, a, b in sorted(ordered):
        x, y = root(a), root(b)
        if x != y:
            parent[x] = y
            selected.append((a, b, weight))
            total += weight
    return total, selected

The example is a starting point for a real project, not a claim that generated code is already tested. Adjust paths, dependencies and expected behavior to match your application.

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