{"task": {"agent_timeout": 3000, "task": "pandas-dev__pandas-49120", "verifier_timeout": 6000, "instruction": "BUG: _guess_datetime_format_for_array doesn't guess if first element is '' or 'NaT'\n### Pandas version checks\n\n- [X] I have checked that this issue has not already been reported.\n\n- [X] I have confirmed this bug exists on the [latest version](https://pandas.pydata.org/docs/whatsnew/index.html) of pandas.\n\n- [X] I have confirmed this bug exists on the main branch of pandas.\n\n\n### Reproducible Example\n\n```python\nfrom pandas.core.tools.datetimes import _guess_datetime_format_for_array\nprint(_guess_datetime_format_for_array(['NaT', '13-01-2000']))  # prints None\nprint(_guess_datetime_format_for_array(['', '13-01-2000']))  # prints None\n```\n\n\n### Issue Description\n\nBoth `'NaT'` and `''` end up becoming `NaT` in `tslib.array_to_datetime`, so they should be ignored when finding the first non-null element to use to guess the datetime format.\n\nHowever, currently that doesn't happen, because\n\nhttps://github.com/pandas-dev/pandas/blob/0106c26529900bad0561efb9c9180f7f016365b0/pandas/core/tools/datetimes.py#L129-L131\n\ndoesn't exclude `'NaT'` or `''` when looking for the first non-null element\n\n### Expected Behavior\n\nto get\n```\n%d-%m-%Y\n%d-%m-%Y\n```\n\n### Installed Versions\n\n<details>\n\n\nINSTALLED VERSIONS\n------------------\ncommit           : 16d6e095b9cfb7ca33f47a6cdbcbc8f61fd112dc\npython           : 3.8.13.final.0\npython-bits      : 64\nOS               : Linux\nOS-release       : 5.10.102.1-microsoft-standard-WSL2\nVersion          : #1 SMP Wed Mar 2 00:30:59 UTC 2022\nmachine          : x86_64\nprocessor        : x86_64\nbyteorder        : little\nLC_ALL           : None\nLANG             : en_GB.UTF-8\nLOCALE           : en_GB.UTF-8\n\npandas           : 1.6.0.dev0+346.g16d6e095b9\nnumpy            : 1.23.3\npytz             : 2022.2.1\ndateutil         : 2.8.2\nsetuptools       : 59.8.0\npip              : 22.2.2\nCython           : 0.29.32\npytest           : 7.1.3\nhypothesis       : 6.54.6\nsphinx           : 4.5.0\nblosc            : None\nfeather          : None\nxlsxwriter       : 3.0.3\nlxml.etree       : 4.9.1\nhtml5lib         : 1.1\npymysql          : 1.0.2\npsycopg2         : 2.9.3\njinja2           : 3.0.3\nIPython          : 8.5.0\npandas_datareader: 0.10.0\nbs4              : 4.11.1\nbottleneck       : 1.3.5\nbrotli           : \nfastparquet      : 0.8.3\nfsspec           : 2021.11.0\ngcsfs            : 2021.11.0\nmatplotlib       : 3.6.0\nnumba            : 0.56.2\nnumexpr          : 2.8.3\nodfpy            : None\nopenpyxl         : 3.0.10\npandas_gbq       : 0.17.8\npyarrow          : 9.0.0\npyreadstat       : 1.1.9\npyxlsb           : 1.0.9\ns3fs             : 2021.11.0\nscipy            : 1.9.1\nsnappy           : \nsqlalchemy       : 1.4.41\ntables           : 3.7.0\ntabulate         : 0.8.10\nxarray           : 2022.9.0\nxlrd             : 2.0.1\nxlwt             : 1.3.0\nzstandard        : 0.18.0\ntzdata           : None\nNone\n\n\n</details>\n", "memory": "8192m", "runnable": false, "difficulty": "hard", "language": "", "cpus": 1, "instruction_truncated": false, "category": "debugging", "compose": false, "has_solution": true, "oracle": null, "docker_image": "", "taskset": "swegym", "tags": ["debugging", "swe-bench"]}, "runs": []}