Acertain puzzle has 5 colored lights and 5 buttons that change the color of the lights. each light can have one of 5 colors: red, orange, yellow, green, or blue. when a light is "cycled", it changes to the next color, wrapping back around from blue to red. for example, cycling an orange light changes it yellow, and cycling a green light turns it blue. pressing button 1 cycles lights 1, 2, and 4. pressing button 2 cycles lights 2, 5, and 1. pressing button 3 cycles lights 3 and 4. pressing button 4 cycles lights 1, 3, 4, and 5. pressing button 5 cycles lights 1, 3, and also cycles light 5 twice. initially, lights 1–5 are red, orange, yellow, green and blue respectively. how many times should each button be pressed to change all of the lights to blue