I have a static 7-weighing schedule:

• {3,5,6,7}
• {1,4,6,7,8}
• {1,2,5,7,8,9}
• {1,2,3,6,8,9,10}
• {2,3,4,7,9,10,11}
• {3,4,5,8,10,11,12}
• {1,4,5,6,9,11,12}

This can also be given in terms of ON/OFF (with 1/0) given the array of 12 coins:

• 0 0 1 0 1 1 1 0 0 0 0 0
• 1 0 0 1 0 1 1 1 0 0 0 0
• 1 1 0 0 1 0 1 1 1 0 0 0
• 1 1 1 0 0 1 0 1 1 1 0 0
• 0 1 1 1 0 0 1 0 1 1 1 0
• 0 0 1 1 1 0 0 1 0 1 1 1
• 1 0 0 1 1 1 0 0 1 0 1 1

I am still considering how to properly explain it in an intuitive way. The pattern in the above bit-array-set is obvious - i.e. some kind of shifting pattern. But as to how/why this achieves the goal (c.f. my other answer) is not yet clear.

I have a static 7-weighing schedule:

• {3,5,6,7}
• {1,4,6,7,8}
• {1,2,5,7,8,9}
• {1,2,3,6,8,9,10}
• {2,3,4,7,9,10,11}
• {3,4,5,8,10,11,12}
• {1,4,5,6,9,11,12}

This can also be given in terms of ON/OFF (with 1/0) given the array of 12 coins:

• 0 0 1 0 1 1 1 0 0 0 0 0
• 1 0 0 1 0 1 1 1 0 0 0 0
• 1 1 0 0 1 0 1 1 1 0 0 0
• 1 1 1 0 0 1 0 1 1 1 0 0
• 0 1 1 1 0 0 1 0 1 1 1 0
• 0 0 1 1 1 0 0 1 0 1 1 1
• 1 0 0 1 1 1 0 0 1 0 1 1

I am still considering how to properly explain it in an intuitive way. The pattern in the above bit-array-set is obvious - i.e. some kind of shifting pattern. But as to how/why this achieves the goal (c.f. my other answer) is not yet clear.

I have a static 7-weighing schedule:

• {3,5,6,7}
• {1,4,6,7,8}
• {1,2,5,7,8,9}
• {1,2,3,6,8,9,10}
• {2,3,4,7,9,10,11}
• {3,4,5,8,10,11,12}
• {1,4,5,6,9,11,12}

This can also be given in terms of ON/OFF (with 1/0) given the array of 12 coins:

• 0 0 1 0 1 1 1 0 0 0 0 0
• 1 0 0 1 0 1 1 1 0 0 0 0
• 1 1 0 0 1 0 1 1 1 0 0 0
• 1 1 1 0 0 1 0 1 1 1 0 0
• 0 1 1 1 0 0 1 0 1 1 1 0
• 0 0 1 1 1 0 0 1 0 1 1 1
• 1 0 0 1 1 1 0 0 1 0 1 1

I am still considering how to properly explain it in an intuitive way.

I have a static 7-weighing schedule:

• {3,5,6,7}
• {1,4,6,7,8}
• {1,2,5,7,8,9}
• {1,2,3,6,8,9,10}
• {2,3,4,7,9,10,11}
• {3,4,5,8,10,11,12}
• {1,4,5,6,9,11,12}

This can also be given in terms of ON/OFF (with 1/0) given the array of 12 coins:

• 0 0 1 0 1 1 1 0 0 0 0 0
• 1 0 0 1 0 1 1 1 0 0 0 0
• 1 1 0 0 1 0 1 1 1 0 0 0
• 1 1 1 0 0 1 0 1 1 1 0 0
• 0 1 1 1 0 0 1 0 1 1 1 0
• 0 0 1 1 1 0 0 1 0 1 1 1
• 1 0 0 1 1 1 0 0 1 0 1 1

I am still considering how to properly explain it in an intuitive way. The pattern in the above bit-array-set is obvious - i.e. some kind of shifting pattern. But as to how/why this achieves the goal (c.f. my other answer) is not yet clear.