(But there isn't.)Ĭut 7: at $1$ final cut he has at most $128$ (actually $100$ pieces at $1$ inch each. (But they aren't.).Ĭut 6: at $2$ give him at most $64$ (actually $50$) pieces the largest of which is $2$ but one my be smller. ($1$ is shorter at $4$ inches).Ĭut 5: at $4$ gives him at most $32$ (actually $25$) pieces the largest of which is $4$ but one may be smaller. ($1$ is shorter at $4$ inches).Ĭut 4: at $8$ gives him at most $16$ (actually $12$) pieces the largest of which is $8$ but one may be smaller. (one is shorter at $4$ inches)Ĭut 3: at $16$ gives him at most $8$ pieces (actually $6$) the largest of which is $16$ but one may be smaller. (one is $36$ inches)Ĭut 2: at $32$, give him at most $4$ pieces the largest of which are $32$ but one may smaller. You could reason he need $7$ cuts so he might as well always cut at the $2^k$ mark.Ĭut 1: at $64$, gives him at most $2$ pieces the largest of which are $64$ but one may be shorter. Ukraine says it shot down six Kinzhal missiles over Kyiv fired by Russia, demonstrating the effectiveness of Western air defenses and potentially. This isn't the only way to do it in $7$ but $7$ is required. Russias Nuclear Strategy Has Been Torn to Pieces. (he now has $2$ inch pieces ($44$) and some $1$ inch pieces ($12$).) (he now has some $4$ inch pieces ($16$), so $3$ inch pieces ($8$), some $2$ inch pieces ($4$), and some $1$ inch pieces ($4$). $4$ of each).įourth is at $7$ (he now has some $7$ inch pieces ($8$), some $6$ inch pieces ($4$), and some $5$ inch pieces ($4$).)įifth cut at $4$ inches. (he now has some $13$ inch pieces and some $12$ inch pieces. If first cut is at the $50$ (He now has $50$ inch pieces. $2^6 < 100 < 2^7$ so he needs at least $7$ cuts.īut if he cuts exactly in half his pieces will not be exactly $1$ inch. So in $n$ cuts he will have $2^n$ pieces. If he stacks every piece and cuts everything in half he will double his pieces each cut. a profile that I created that has some notable peices to look out for. I believe that this algorithm of always cutting the largest power of two which is smaller than the largest piece will be optimal in general, not just for 100 pieces. This guide will help you select the best pieces of gear from Dungeons and Raids. Cut the pieces into 100 pieces of length 1.Cut the pieces into 50 pieces of length 2.Cut the pieces into 25 pieces of length 4.Cut the pieces into 12 pieces of length 8 and 1 piece of length 4.Cut the pieces into 6 pieces of length 16 and 1 piece of length 4 (in this step we do not actually cut the piece of length 4).In all future cuts we will also start by laying the pieces so that their left ends line up. Lay the pieces so that the left ends line up, and then cut so that you have 3 pieces of length 32 and 1 piece of length 4.Cut the stick into a length of 64 inches and a length of 36 inches.Therefore, you will need to make at least 7 cuts (since $2^6 = 64 100$). Yet, not all signs want the level of intimacy that Pisces craves. Natives of this sign are capable of deep intimacy and devotion to a partner and can easily lose themselves in a relationship. First, each cut can at most double the number of pieces you have. Pisces is a deeply romantic sign that loves to be in love.
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