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I was inspired to make a couple new puzzle types today. I would describe both of them as explosive in the sense that it's really easy for deductions to propagate across the whole grid, like the streaming lights of fireworks filling the night sky.
Bandwidth:
Shade some more cells so that every shaded region is a rectangle of width 1 and every unshaded region borders a shaded region of the same area as it.
All Stars:
Place stars in some cells so that every number counts the amount of stars that can reach it by only traveling upward. Stars cannot be placed on numbers. Also, every internal vertex of the grid must belong to exactly one cell with a star.
Shade some cells blue or red and place stars in some of the blue cells. The blue cells should form one fully connected region and that region should be solved as an All Stars. The rest of the grid should also form one connected region and be solved as a Bandwidth in which the red cells count as shaded.
