"Next up, question number two," said William.
"Alright, William, brace yourself for this one," Alice said, taking a deep breath.267Please respect copyright.ＰＥＮＡＮＡIc5SZkvV6I
In a round-robin tournament with 953467954114363 teams, each team plays one game against each other team, and each game results in one team winning and one team losing. At the end of the tournament, the teams are ranked by the number of games won. What is the maximum number of teams that could be tied for the most wins at the end on the tournament?267Please respect copyright.ＰＥＮＡＮＡxa1FAW5oth
"I still know the answer," said William confidently.267Please respect copyright.ＰＥＮＡＮＡVa4YjgnnSb
"How is this possible again?" Alice exclaimed, surprised.
William and Alice sat down, contemplating the complexities of an unimaginably vast round-robin tournament. With an astonishing 953,467,954,114,363 teams participating, Alice gasped, "How on earth does that even work?"
William, with a wry smile, began explaining, "Picture this: every team competes in 953,467,954,114,362 matches, and each match ends with one win and one loss for the competing teams."
Alice's eyes widened in realization. "So, the maximum number of wins needed for a team to lead the scoreboard relies on the total matches played."
"Exactly," nodded William. "If we split the total matches in half, it gives us the number of wins needed for a team to be at the top."
"That would be 476,733,977,057,181 wins," exclaimed Alice, trying to fathom the enormity of the figure.
"Indeed," replied William. "And that staggering count suggests the maximum number of teams that could potentially tie for the most wins."
"In a tournament of this scale," mused Alice, "an astronomical number of teams could end up sharing the top spot with this same number of wins. What a spectacle that would be!"267Please respect copyright.ＰＥＮＡＮＡxLFP00gLzr
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