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2022 IIMC keystage2-EMIC team Question 7

xIMC · 2022 IIMC keystage2-EMIC team

Question 7

Five chess players, Andy, Boris, Clark, Dick and Eric played in a tournament, where every two participants played against each other exactly once. For each game, a player will get $2$ points for a win, $1$ point for a draw, and $0$ point for a loss. At the end of the tournament, one noticed that: Boris drew all his games, Clark won exactly two games, Dick is ahead of Andy by $1$ point, Eric is not in last place and he lost only to the only player who accumulated the lowest number of points. If their total scores are $a,b,c,d,e$, respectively, then what is the five-digit number $\overline{abcde}$?

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