benchmarks.wiki / Public workspace

BIG-Bench Extra Hard (BBEH) / Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are playing a game. At the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

input · full text (12,818 characters)
Alice, Bob, Claire, Dave, Eve, Fred, and Gertrude are playing a game. At the start of the game, they are each holding a ball: Alice has a pink ball, Bob has a orange ball, Claire has a white ball, Dave has a green ball, Eve has a blue ball, Fred has a black ball, and Gertrude has a yellow ball.
As the game progresses, pairs of players trade balls. First, Dave and Alice swap balls. Then, Dave and Gertrude swap balls (let's call it Action 1). Then, Gertrude and Dave swap balls (let's call it Action 2). Then, Claire and Fred swap balls (let's call it Action 3). Then, Fred and Claire swap balls (let's call it Action 4). Then, Alice and Bob swap balls (let's call it Action 5). Then, Bob and Gertrude swap balls (let's call it Action 6). Then, Gertrude and Bob swap balls (let's call it Action 7). Then, Bob and Alice swap balls (let's call it Action 8). Then, Gertrude and Alice swap balls (let's call it Action 9). Then, Alice and Gertrude swap balls (let's call it Action 10). Then, Claire and Eve swap balls (let's call it Action 11). Then, Eve and Alice swap balls (let's call it Action 12). Then, Alice and Eve swap balls (let's call it Action 13). Then, Eve and Claire swap balls (let's call it Action 14). Then, Fred and Dave swap balls (let's call it Action 15). Then, Fred and Dave discuss something (let's call it Action 16). Then, Fred and Dave swap balls. Then, Action 11 repeats. Then, Claire and Eve discuss something (let's call it Action 17). Then, Claire and Eve swap balls. Then, Dave and Fred swap balls (let's call it Action 18). Then, Fred and Dave swap balls. Then, nothing happens for a while (let's call it Action 19). Then, Alice and Claire swap balls (let's call it Action 20). Then, Claire and Fred swap balls. Then, Fred and Claire swap balls. Then, Claire and Alice swap balls (let's call it Action 21). Then, nothing happens for a while. Then, Eve and Alice swap balls. Then, Alice and Dave swap balls (let's call it Action 22). Then, Dave and Alice swap balls (let's call it Action 23). Then, Action 13 repeats. Then, Action 19 repeats. Then, Fred and Gertrude swap balls (let's call it Action 24). Then, Fred and Gertrude discuss something (let's call it Action 25). Then, Fred and Gertrude swap balls. Then, Alice and Dave swap balls. Then, Dave and Claire swap balls (let's call it Action 26). Then, Claire and Dave swap balls (let's call it Action 27). Then, Action 23 repeats. Then, Fred and Bob swap balls (let's call it Action 28). Then, Bob and Fred swap balls (let's call it Action 29). Then, Bob and Eve swap balls (let's call it Action 30). Then, Eve and Bob swap balls (let's call it Action 31). Then, Action 19 repeats. Then, nothing happens for a while. Then, Bob and Fred swap balls. Then, Fred and Bob swap balls. Then, Bob and Fred swap balls. Then, Fred and Bob swap balls. Then, Eve and Fred swap balls (let's call it Action 32). Then, Eve and Fred discuss something (let's call it Action 33). Then, Eve and Fred swap balls. Then, Action 15 repeats. Then, Action 23 repeats. Then, Alice and Dave swap balls. Then, Dave and Fred swap balls. Then, Action 19 repeats. Then, Fred and Claire swap balls. Then, Claire and Bob swap balls (let's call it Action 34). Then, Bob and Claire swap balls (let's call it Action 35). Then, Claire and Fred swap balls. Then, Claire and Dave swap balls. Then, Claire and Dave discuss something (let's call it Action 36). Then, Claire and Dave swap balls. Then, Dave and Bob swap balls (let's call it Action 37). Then, Bob and Alice swap balls. Then, Action 5 repeats. Then, Bob and Dave swap balls (let's call it Action 38). Then, Eve and Fred swap balls. Then, Fred and Gertrude swap balls. Then, Gertrude and Fred swap balls (let's call it Action 39). Then, Fred and Eve swap balls (let's call it Action 40). Then, Fred and Eve swap balls. Then, Fred and Eve discuss something (let's call it Action 41). Then, Fred and Eve swap balls. Then, Eve and Claire swap balls. Then, Claire and Eve swap balls. Then, Claire and Alice swap balls. Then, Claire and Alice discuss something (let's call it Action 42). Then, Action 21 repeats. Then, nothing happens for a while. Then, Alice and Fred swap balls (let's call it Action 43). Then, Action 30 repeats. Then, Bob and Eve discuss something (let's call it Action 44). Then, Action 30 repeats. Then, Action 1 repeats. Then, Dave and Gertrude discuss something (let's call it Action 45). Then, Dave and Gertrude swap balls. Then, Claire and Alice swap balls. Then, Alice and Fred swap balls. Then, Fred and Alice swap balls (let's call it Action 46). Then, Alice and Claire swap balls. Then, Action 5 repeats. Then, Action 35 repeats. Then, Action 34 repeats. Then, Action 8 repeats. Then, Dave and Gertrude swap balls. Then, Gertrude and Bob swap balls. Then, Bob and Gertrude swap balls. Then, Gertrude and Dave swap balls. Then, Action 24 repeats. Then, Gertrude and Fred swap balls. Then, Bob and Dave swap balls. Then, Bob and Dave discuss something (let's call it Action 47). Then, Bob and Dave swap balls. Then, Eve and Alice swap balls. Then, Alice and Eve swap balls. Then, Bob and Eve swap balls. Then, Action 32 repeats. Then, Fred and Eve swap balls. Then, Eve and Bob swap balls. Then, Dave and Fred swap balls. Then, Dave and Fred discuss something (let's call it Action 48). Then, Action 18 repeats. Then, Alice and Eve swap balls. Then, Eve and Fred swap balls. Then, Fred and Eve swap balls. Then, Eve and Alice swap balls. Then, Bob and Claire swap balls. Then, Bob and Claire discuss something (let's call it Action 49). Then, Action 35 repeats. Then, Action 39 repeats. Then, Action 24 repeats. Then, Fred and Bob swap balls. Then, Fred and Bob discuss something (let's call it Action 50). Then, Fred and Bob swap balls. Then, nothing happens for a while. Then, Action 23 repeats. Then, Alice and Dave swap balls. Then, Bob and Gertrude swap balls. Then, Gertrude and Bob swap balls. Then, Bob and Eve swap balls. Then, Eve and Bob swap balls. Then, Claire and Eve swap balls. Then, Claire and Eve discuss something. Then, Claire and Eve swap balls. Then, Claire and Alice swap balls. Then, Claire and Alice discuss something. Then, Claire and Alice swap balls. Then, Bob and Claire swap balls. Then, Claire and Bob swap balls. Then, Action 14 repeats. Then, Eve and Claire discuss something (let's call it Action 51). Then, Eve and Claire swap balls. Then, Eve and Gertrude swap balls (let's call it Action 52). Then, Eve and Gertrude discuss something (let's call it Action 53). Then, Eve and Gertrude swap balls. Then, Bob and Fred swap balls. Then, Fred and Gertrude swap balls. Then, Action 39 repeats. Then, Action 28 repeats. Then, Bob and Fred swap balls. Then, Fred and Bob swap balls. Then, Fred and Dave swap balls. Then, Action 19 repeats. Then, Eve and Gertrude swap balls. Then, Gertrude and Eve swap balls (let's call it Action 54). Then, Alice and Eve swap balls. Then, Alice and Eve discuss something (let's call it Action 55). Then, Alice and Eve swap balls. Then, Claire and Eve swap balls. Then, Eve and Claire swap balls. Then, nothing happens for a while. Then, Action 34 repeats. Then, Action 35 repeats. Then, Eve and Fred swap balls. Then, Action 24 repeats. Then, Gertrude and Fred swap balls. Then, Fred and Eve swap balls. Then, Alice and Eve swap balls. Then, Alice and Eve discuss something. Then, Alice and Eve swap balls. Then, Action 28 repeats. Then, Action 29 repeats. Then, Dave and Alice swap balls. Then, Alice and Bob swap balls. Then, Action 8 repeats. Then, Alice and Dave swap balls. Then, nothing happens for a while. Then, Bob and Fred swap balls. Then, Bob and Fred discuss something (let's call it Action 56). Then, Bob and Fred swap balls. Then, Bob and Alice swap balls. Then, Alice and Bob swap balls. Then, Action 28 repeats. Then, Bob and Eve swap balls. Then, Eve and Bob swap balls. Then, Bob and Fred swap balls. Then, nothing happens for a while. Then, Alice and Claire swap balls. Then, Claire and Eve swap balls. Then, Eve and Claire swap balls. Then, Claire and Alice swap balls. Then, Action 26 repeats. Then, Claire and Alice swap balls. Then, Alice and Claire swap balls. Then, Action 27 repeats. Then, nothing happens for a while. Then, nothing happens for a while. Then, Gertrude and Eve swap balls. Then, Eve and Bob swap balls. Then, Bob and Eve swap balls. Then, Eve and Gertrude swap balls. Then, Action 27 repeats. Then, Dave and Bob swap balls. Then, Action 38 repeats. Then, Dave and Claire swap balls. Then, Action 32 repeats. Then, Fred and Eve swap balls. Then, Bob and Dave swap balls. Then, Dave and Eve swap balls (let's call it Action 57). Then, Eve and Dave swap balls (let's call it Action 58). Then, Action 37 repeats. Then, Bob and Gertrude swap balls. Then, Gertrude and Alice swap balls. Then, Alice and Gertrude swap balls. Then, Gertrude and Bob swap balls. Then, Claire and Dave swap balls. Then, Action 37 repeats. Then, Bob and Dave swap balls. Then, Dave and Claire swap balls. Then, Eve and Fred swap balls. Then, Fred and Eve swap balls. Then, Eve and Claire swap balls. Then, Claire and Eve swap balls. Then, Action 27 repeats. Then, Claire and Dave discuss something. Then, Claire and Dave swap balls. Then, nothing happens for a while. Then, Alice and Dave swap balls. Then, Dave and Alice swap balls. Then, Bob and Claire swap balls. Then, Claire and Dave swap balls. Then, Dave and Claire swap balls. Then, Claire and Bob swap balls. Then, Action 19 repeats. Then, Gertrude and Claire swap balls (let's call it Action 59). Then, Gertrude and Claire discuss something (let's call it Action 60). Then, Action 59 repeats. Then, Action 7 repeats. Then, Action 8 repeats. Then, Action 5 repeats. Then, Bob and Gertrude swap balls. Then, Bob and Fred swap balls. Then, Fred and Bob swap balls. Then, nothing happens for a while. Then, nothing happens for a while. Then, Action 19 repeats. Then, nothing happens for a while. Then, Action 12 repeats. Then, Eve and Alice discuss something (let's call it Action 61). Then, Eve and Alice swap balls. Then, Action 40 repeats. Then, Fred and Eve discuss something. Then, Fred and Eve swap balls. Then, nothing happens for a while. Then, Bob and Fred swap balls. Then, Action 56 repeats. Then, Bob and Fred swap balls. Then, Claire and Fred swap balls. Then, Action 4 repeats. Then, nothing happens for a while. Then, Action 35 repeats. Then, Bob and Claire discuss something. Then, Action 35 repeats. Then, nothing happens for a while. Then, Action 31 repeats. Then, Action 19 repeats. Then, Dave and Bob swap balls. Then, Bob and Gertrude swap balls. Then, Action 7 repeats. Then, Bob and Dave swap balls. Then, nothing happens for a while. Then, Gertrude and Dave swap balls. Then, Gertrude and Dave discuss something (let's call it Action 62). Then, Gertrude and Dave swap balls. Then, Dave and Fred swap balls. Then, Fred and Dave swap balls. Then, Bob and Dave swap balls. Then, Bob and Dave discuss something. Then, Bob and Dave swap balls. Then, Action 34 repeats. Then, Claire and Bob discuss something (let's call it Action 63). Then, Action 34 repeats. Then, Fred and Alice swap balls. Then, Fred and Alice discuss something (let's call it Action 64). Then, Fred and Alice swap balls. Then, Action 21 repeats. Then, Claire and Alice discuss something. Then, Claire and Alice swap balls. Then, Dave and Claire swap balls. Then, Dave and Claire discuss something (let's call it Action 65). Then, Dave and Claire swap balls. Then, Gertrude and Claire swap balls. Then, Gertrude and Claire discuss something. Then, Gertrude and Claire swap balls. Then, Action 39 repeats. Then, Gertrude and Fred discuss something (let's call it Action 66). Then, Gertrude and Fred swap balls. Then, Action 19 repeats. Then, Eve and Gertrude swap balls. Then, Eve and Gertrude discuss something. Then, Eve and Gertrude swap balls. Then, Action 10 repeats. Then, Action 59 repeats. Then, Claire and Gertrude swap balls (let's call it Action 67). Then, Gertrude and Alice swap balls. Then, Claire and Bob swap balls. Then, Claire and Bob discuss something. Then, Claire and Bob swap balls. Then, nothing happens for a while. Then, Bob and Alice swap balls. Then, Bob and Alice discuss something (let's call it Action 68). Then, Bob and Alice swap balls. Then, Alice and Bob swap balls. Then, Bob and Alice swap balls. Then, Gertrude and Dave swap balls. Then, Action 1 repeats. Then, Action 26 repeats. Then, Claire and Eve swap balls. Then, Action 14 repeats. Then, Action 27 repeats. Then, Claire and Fred swap balls. Then, Bob and Gertrude swap balls. Finally, Gertrude and Alice swap balls. At the end of the game, Gertrude has the
Options:
(A) pink ball
(B) orange ball
(C) white ball
(D) green ball
(E) blue ball
(F) black ball
(G) yellow ball

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

Official source

initial import