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lcb-0079

0.333
1/3 tests· algorithms

Proposed solution

```python
import math
import sys
import bisect

def count_good_integers(N):
    limit = int(N**0.25) + 1
    primes = [2]
    for i in range(3, limit + 1, 2):
        if all(i % j != 0 for j in range(3, int(i**0.5) + 1, 2)):
            primes.append(i)
    primes.sort()
    good_integers = set()
    for i, prime in enumerate(primes):
        a = 0
        while prime ** (2 * a) <= N:
            good_integers.add(prime ** (2 * a))
            a += 1
        for j in range(i + 1, len(primes)):
            b = 0
            while primes[j] ** (2 * b) * prime ** a <= N:
                good_integers.add(primes[j] ** (2 * b) * prime ** a)
                b += 1
    return len(good_integers)

if __name__ == "__main__":
    N = int(sys.stdin.readline().strip())
    print(count_good_integers(N))
```

Test output (stdout)

.FF                                                                      [100%]
=================================== FAILURES ===================================
_______________________________ test_lcb_0079[1] _______________________________

i = 1

    @pytest.mark.parametrize("i", range(len(_CASES)))
    def test_lcb_0079(i):
        c = _CASES[i]
        p = subprocess.run([sys.executable, str(_D / "solution.py")],
                           input=c["input"], capture_output=True, text=True, timeout=15)
        assert p.returncode == 0, f"runtime error: {p.stderr[-800:]}"
>       assert _norm(p.stdout) == _norm(c["output"]), (
            f"input={c['input']!r} expected={c['output']!r} got={p.stdout!r}")
E       AssertionError: input='400' expected='24' got='11\n'
E       assert '11' == '24'
E         
E         - 24
E         + 11

test_lcb_0079.py:20: AssertionError
_______________________________ test_lcb_0079[2] _______________________________

i = 2

    @pytest.mark.parametrize("i", range(len(_CASES)))
    def test_lcb_0079(i):
        c = _CASES[i]
        p = subprocess.run([sys.executable, str(_D / "solution.py")],
                           input=c["input"], capture_output=True, text=True, timeout=15)
        assert p.returncode == 0, f"runtime error: {p.stderr[-800:]}"
>       assert _norm(p.stdout) == _norm(c["output"]), (
            f"input={c['input']!r} expected={c['output']!r} got={p.stdout!r}")
E       AssertionError: input='1234567890' expected='42413' got='448\n'
E       assert '448' == '42413'
E         
E         - 42413
E         + 448

test_lcb_0079.py:20: AssertionError
=========================== short test summary info ============================
FAILED test_lcb_0079.py::test_lcb_0079[1] - AssertionError: input='400' expec...
FAILED test_lcb_0079.py::test_lcb_0079[2] - AssertionError: input='1234567890...
2 failed, 1 passed in 0.05s
Self-repair attempts
[
  {
    "total": 3,
    "answer": "```python\nimport math\nimport sys\nimport bisect\n\ndef count_good_integers(N):\n    limit = int(N**0.25) + 1\n    primes = [2]\n    for i in range(3, limit + 1, 2):\n        if all(i % j != 0 for j in range(3, int(i**0.5) + 1, 2)):\n            primes.append(i)\n    primes.sort()\n    good_integers = set()\n    for i, prime in enumerate(primes):\n        a = 0\n        while prime ** (2 * a) <= N:\n            good_integers.add(prime ** (2 * a))\n            a += 1\n        for j in range(i + 1, len(primes)):\n            b = 0\n            while primes[j] ** (2 * b) * prime ** a <= N:\n                good_integers.add(primes[j] ** (2 * b) * prime ** a)\n                b += 1\n    return len(good_integers)\n\nif __name__ == \"__main__\":\n    N = int(sys.stdin.readline().strip())\n    print(count_good_integers(N))\n```",
    "passed": 1,
    "test_error": ".FF                                                                      [100%]\n=================================== FAILURES ===================================\n_______________________________ test_lcb_0079[1] _______________________________\n\ni = 1\n\n    @pytest.mark.parametrize(\"i\", range(len(_CASES)))\n    def test_lcb_0079(i):\n        c = _CASES[i]\n        p = subprocess.run([sys.executable, str(_D / \"solution.py\")],\n                           input=c[\"input\"], capture_output=True, text=True, timeout=15)\n        assert p.returncode == 0, f\"runtime error: {p.stderr[-800:]}\"\n>       assert _norm(p.stdout) == _norm(c[\"output\"]), (\n            f\"input={c['input']!r} expected={c['output']!r} got={p.stdout!r}\")\nE       AssertionError: input='400' expected='24' got='11\\n'\nE       assert '11' == '24'\nE         \nE         - 24\nE         + 11\n\ntest_lcb_0079.py:20: AssertionError\n_______________________________ test_lcb_0079[2] _______________________________\n\ni = 2\n\n    @pytest.mark.parametrize(\"i\", range(len(_CASES)))\n    def test_lcb_0079(i):\n        c = _CASES[i]\n        p = subprocess.run([sys.executable, str(_D / \"solution.py\")],\n                           input=c[\"input\"], capture_output=True, text=True, timeout=15)\n        assert p.returncode == 0, f\"runtime error: {p.stderr[-800:]}\"\n>       assert _norm(p.stdout) == _norm(c[\"output\"]), (\n            f\"input={c['input']!r} expected={c['output']!r} got={p.stdout!r}\")\nE       AssertionError: input='1234567890' expected='42413' got='448\\n'\nE       assert '448' == '42413'\nE         \nE         - 42413\nE         + 448\n\ntest_lcb_0079.py:20: AssertionError\n=========================== short test summary info ============================\nFAILED test_lcb_0079.py::test_lcb_0079[1] - AssertionError: input='400' expec...\nFAILED test_lcb_0079.py::test_lcb_0079[2] - AssertionError: input='1234567890...\n2 failed, 1 passed in 0.05s"
  },
  {
    "total": 3,
    "answer": "```python\nimport math\nimport sys\nimport bisect\n\ndef count_good_integers(N):\n    limit = int(N**0.25) + 1\n    primes = [2]\n    for i in range(3, limit + 1, 2):\n        if all(i % j != 0 for j in range(3, int(i**0.5) + 1, 2)):\n            primes.append(i)\n    primes.sort()\n    good_integers = set()\n    for i, prime in enumerate(primes):\n        a = 0\n        while prime ** (2 * a) <= N:\n            good_integers.add(prime ** (2 * a))\n            a += 1\n        for j in range(i + 1, len(primes)):\n            b = 0\n            while primes[j] ** (2 * b) * prime ** a <= N:\n                good_integers.add(primes[j] ** (2 * b) * prime ** a)\n                b += 1\n    return len(good_integers)\n\nif __name__ == \"__main__\":\n    N = int(sys.stdin.readline().strip())\n    print(count_good_integers(N))\n```",
    "passed": 1,
    "test_error": ".FF                                                                      [100%]\n=================================== FAILURES ===================================\n_______________________________ test_lcb_0079[1] _______________________________\n\ni = 1\n\n    @pytest.mark.parametrize(\"i\", range(len(_CASES)))\n    def test_lcb_0079(i):\n        c = _CASES[i]\n        p = subprocess.run([sys.executable, str(_D / \"solution.py\")],\n                           input=c[\"input\"], capture_output=True, text=True, timeout=15)\n        assert p.returncode == 0, f\"runtime error: {p.stderr[-800:]}\"\n>       assert _norm(p.stdout) == _norm(c[\"output\"]), (\n            f\"input={c['input']!r} expected={c['output']!r} got={p.stdout!r}\")\nE       AssertionError: input='400' expected='24' got='11\\n'\nE       assert '11' == '24'\nE         \nE         - 24\nE         + 11\n\ntest_lcb_0079.py:20: AssertionError\n_______________________________ test_lcb_0079[2] _______________________________\n\ni = 2\n\n    @pytest.mark.parametrize(\"i\", range(len(_CASES)))\n    def test_lcb_0079(i):\n        c = _CASES[i]\n        p = subprocess.run([sys.executable, str(_D / \"solution.py\")],\n                           input=c[\"input\"], capture_output=True, text=True, timeout=15)\n        assert p.returncode == 0, f\"runtime error: {p.stderr[-800:]}\"\n>       assert _norm(p.stdout) == _norm(c[\"output\"]), (\n            f\"input={c['input']!r} expected={c['output']!r} got={p.stdout!r}\")\nE       AssertionError: input='1234567890' expected='42413' got='448\\n'\nE       assert '448' == '42413'\nE         \nE         - 42413\nE         + 448\n\ntest_lcb_0079.py:20: AssertionError\n=========================== short test summary info ============================\nFAILED test_lcb_0079.py::test_lcb_0079[1] - AssertionError: input='400' expec...\nFAILED test_lcb_0079.py::test_lcb_0079[2] - AssertionError: input='1234567890...\n2 failed, 1 passed in 0.05s"
  },
  {
    "total": 3,
    "answer": "```python\nimport math\nimport sys\nimport bisect\n\ndef count_good_integers(N):\n    limit = int(N**0.25) + 1\n    primes = [2]\n    for i in range(3, limit + 1, 2):\n        if all(i % j != 0 for j in range(3, int(i**0.5) + 1, 2)):\n            primes.append(i)\n    primes.sort()\n    good_integers = set()\n    for i, prime in enumerate(primes):\n        a = 0\n        while prime ** (2 * a) <= N:\n            good_integers.add(prime ** (2 * a))\n            a += 1\n        for j in range(i + 1, len(primes)):\n            b = 0\n            while primes[j] ** (2 * b) * prime ** a <= N:\n                good_integers.add(primes[j] ** (2 * b) * prime ** a)\n                b += 1\n    return len(good_integers)\n\nif __name__ == \"__main__\":\n    N = int(sys.stdin.readline().strip())\n    print(count_good_integers(N))\n```",
    "passed": 1,
    "test_error": ""
  }
]
System prompt
You are an expert programmer. Solve the task exactly as specified. Output your solution as fenced code blocks using the required file name(s) and the exact function/type signatures requested. Prefer correctness; do not include prose outside code unless asked.