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The weightsâ€™ problem Part II

This puzzle was proposed by Sergey Sokolov via Facebook

What is the minimum number of weights needed to measure every object with total weight of 1gr, 2gr, .. ,120 gr, **but this time using scale?**

Can you find universal formula describing the same algorithm for object with total weight of 1gr, 2gr, â€¦, Xgr -

**again using scale?**

**You are allowed to use only one unknown object per measurement!**

Publish your answer here - The weights' problem Part II

**Solved By: ****shashank201090**