It is possible to produce the following arrangement in a standard game of Tetris (if you happen to get the right order of pieces and you place them appropriately).
Notice that all of the pieces are red, meaning they all came from the same kind of tetromino. For each of the 7 tetrominoes (I, L, J, S, Z, O, T), show how this exact arrangement can be produced where red corresponds to that tetromino, or show that it is impossible.
Just to be clear about the mechanics:
- A row is cleared when every cell in that row is occupied.
- When a row is cleared, everything above shifts down one row. There is no "gravity" or chain reactions.
- You should be able to place each block directly from above. There should be no rotating or shifting at the last second.
If there are partial answers, I will accept the answer with the greatest number of tetrominoes solved, and earliest if there is a tie.