Puzzle Number 10: Tetris Shape Reconstruction

Although not exactly mathematically oriented per se, this puzzle involves spatial reasoning and is certainly not verbally oriented, so I thought it could count. The idea is, given the screen shot of a hypothetical Tetris variant with fourteen horizontal cells shown below and the guarantee that no lines have been formed, can you determine a unique colour assignment to the traditional Tetris shapes (which can be found in the Wikipedia article if one is not familiar with them)?

Being unique, there should not be an additional colour assignment that also functions for the given image.

(Note: The last line previously held a typo which gave it a confusing double-negative... sorry about that)

Note: Solution to the puzzle can be found here.