Midrash for Chagigah 34:3
ומאי קמ"ל דמקרבינן ביומיה הא איפליגו בה חדא זימנא דתנן ב"ש אומרים מביאין שלמים ואין סומכין עליהם אבל לא עולות וב"ה אומרים מביאין שלמים ועולות וסומכין עליהם
And what does this teach us? That we bring the offerings on the very day [of the festival]? They have already argued about it once, As it is taught [in a Mishnah], "The House of Shammai say, 'We bring peace-offerings, though we do not lean on them, but not elevation-offerings.' And the House of Hillel say, 'We bring peace-offerings and elevation-offerings, and we lean on them.'"
Sifrei Devarim
"and you shall betake yourselves in the morning and go to your tents": We are hereby taught that they must sleep over (in Jerusalem).
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