import subprocess
import sys
from pathlib import Path

cases = [{'input': '4\n1 2\n1 3\n1 4\n', 'output': '0.1250000000\n0.2916666667\n0.2916666667\n0.2916666667\n'}, {'input': '7\n1 2\n1 3\n2 4\n2 5\n3 6\n3 7\n', 'output': '0.0850694444\n0.0664062500\n0.0664062500\n0.1955295139\n0.1955295139\n0.1955295139\n0.1955295139\n'}, {'input': '1\n', 'output': '1.0000000000\n'}, {'input': '10\n9 8\n7 4\n10 7\n6 7\n1 9\n4 9\n9 3\n2 3\n1 5\n', 'output': '0.0716733902\n0.1568513416\n0.0716733902\n0.0513075087\n0.1568513416\n0.1496446398\n0.0462681362\n0.1274088542\n0.0186767578\n0.1496446398\n'}, {'input': '20\n13 11\n4 12\n17 16\n15 19\n16 6\n7 6\n6 8\n12 2\n19 20\n1 8\n4 17\n18 12\n9 5\n14 13\n11 15\n1 19\n3 13\n4 9\n15 10\n', 'output': '0.0241401787\n0.0917954309\n0.0976743034\n0.0150433990\n0.1006279377\n0.0150716827\n0.0758016731\n0.0241290115\n0.0444770708\n0.0796739239\n0.0310518413\n0.0248005499\n0.0287209519\n0.0976743034\n0.0160891602\n0.0248310267\n0.0253902066\n0.0917954309\n0.0146375074\n0.0765744099\n'}, {'input': '30\n15 21\n21 3\n22 4\n5 18\n26 25\n12 24\n11 2\n27 13\n11 14\n7 29\n10 26\n16 17\n16 27\n16 1\n3 22\n5 19\n2 23\n4 10\n8 4\n1 20\n30 22\n9 3\n28 15\n23 4\n4 1\n2 7\n5 27\n6 26\n6 24\n', 'output': '0.0047521072\n0.0089582002\n0.0091024503\n0.0005692947\n0.0158713738\n0.0231639046\n0.0280364616\n0.0385477047\n0.0508439275\n0.0104849699\n0.0280364616\n0.0756812249\n0.0527268460\n0.0663906850\n0.0348291400\n0.0067068947\n0.0473003760\n0.0620785158\n0.0620785158\n0.0431676433\n0.0225005681\n0.0055308416\n0.0101877956\n0.0354105896\n0.0520300528\n0.0099339742\n0.0093540308\n0.0748580820\n0.0663906850\n0.0444766827\n'}, {'input': '2\n2 1\n', 'output': '0.5000000000\n0.5000000000\n'}, {'input': '3\n2 1\n3 2\n', 'output': '0.3750000000\n0.2500000000\n0.3750000000\n'}, {'input': '4\n3 1\n3 2\n2 4\n', 'output': '0.3125000000\n0.1875000000\n0.1875000000\n0.3125000000\n'}]
solution = Path(__file__).with_name("solution.py")
for index, case in enumerate(cases):
    proc = subprocess.run(
        [sys.executable, str(solution)],
        input=case["input"],
        text=True,
        stdout=subprocess.PIPE,
        stderr=subprocess.PIPE,
        timeout=10,
    )
    if proc.returncode != 0:
        raise AssertionError(f"case {index} exited {proc.returncode}: {proc.stderr}")
    got = proc.stdout.strip()
    expected = case["output"].strip()
    if got.split() != expected.split():
        raise AssertionError(
            f"case {index} output mismatch\nexpected={expected!r}\ngot={got!r}\nstderr={proc.stderr}"
        )
print('deepcoder_primeintellect_io')