Hint
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Answer
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First Modern Olympics ->
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ATHENS
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Remove S, H; Add P, R, W
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ANTWERP
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Remove P, A, W, T; Add I, L, B
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BERLIN
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Remove R, B; Add S, K, I, H
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HELSINKI
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Remove N, E, K, Ix2; Add M, T, C, K, Ox2
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STOCKHOLM
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Remove M, C, O, K, H; Add S, I, U
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ST LOUIS
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Remove T, I, S; Add E
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SEOUL
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Remove S; Add N, R, B, E, M
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MELBOURNE
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Remove U, M, E; Add C, Ax2
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BARCELONA
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Remove C, A, R, B; Add L, E, G, Sx2
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LOS ANGELES
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Remove S, O, N, G, E, Lx2; Add T, R, A, D, Mx2
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AMSTERDAM
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Remove D, R, E, S, Mx2; Add T, A, L, N
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ATLANTA
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Hint
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Answer
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Remove L, Tx2, Ax3; Add E, D, S, Yx2
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SYDNEY
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Remove E, D, N, Yx2; Add R, A, P, I
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PARIS
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Remove S, P, A, R; Add C, H, U, M, N
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MUNICH
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Remove C, H, U, M; Add G, J, I, B, E
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BEIJING
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Remove G, B; Add D, A, E, Ox2, Rx2
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RIO DE JANEIRO
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Remove J, A, Ix2, Rx2, Ex2; Add L, N
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LONDON
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Remove D, L, Nx2; Add Y, K, T
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TOKYO
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Remove Y, K, T; Add C, W, S, M
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MOSCOW
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Remove W, O, S; Add E, X, C, Y, T, Ix2
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MEXICO CITY
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Remove T, Y, X, Cx2, Ix2; Add R
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ROME
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Add L, A, N, T
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MONTREAL
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Remove R, O, L, M; Add S, H
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ATHENS
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