海外の皆様日本語の文章の後に英語訳があります

For those of you overseas, there is an English translation after the Japanese text.

The problem is a little different, so give it a try.

問題が少し違うよ

ぜひ挑戦してね

またほんの少し賢く慣れたぞ

見た目が同じ9枚の金貨がある。その中の3枚は他よりわずかに軽い偽金貨である。

天秤を使って偽金貨を特定したい。

ここには天秤が4つある。しかし、この中の1つの天秤は不良品である。

不良品は“右に傾く”、“左に傾く”、“釣り合う”の中からランダムな結果を出してしまう。

4つの天秤のうちどれが不良品かは分からない。

天秤をそれぞれ1回づつからなず使い後は好きな天秤を好きな回数使い9枚のうち3枚の偽金貨を天秤を使う数を無駄なく使い確実に判断できる天秤使用数最小と最大の数もとめよ

①が不良品として①②③の判定が同じなら④が正常とわかり今後これのみ使う最小は

① 123 456

② 123 456

③ 123 456

④ 123 456

となるので偽物と思しき123をとり残りの789を④ 456　789

偽物と思しき123をはかりにかけるより正解とおほしき456とよくわからない789が釣り合えば123が偽物とわかり最小天秤使用数は5回となる

次は最初に全部偽物が天秤の片方に乗らない場合

123が偽物で①が不良品として①②③の判定が同じなら④が正常とわかり今後これのみ使うまでは同じ

① 14 56

② 14 56

③ 14 56

④ 14 56

なので偽物のある14を④に乗せ④1　4で1が偽物とわかり④に残りの2378をのせ④23　78

で偽物判定の23を④に一枚づつのせ

④2　3

で釣り合い三枚の偽物が判明する

仮に乗せる順番が違い④27　38

で釣り合ったら片方の半分78を交換し

④28　37

で釣り合い三枚の偽物が判明する

なのでどちらにせよ計7回

何故四枚つづなのかは四つ全て同じ判定でも一枚つづ交換すれば正常な天秤一つ使えば偽物が判明するからそれ以上数を増やすと二つしかない天秤の構造上四つ全て同じ判定だと正常な天秤一つでは偽物は分からず無駄に天秤を使う数が増えてしまう

次は最初に2枚偽物が入ったとき

123が偽物で①が不良品として①②③の判定が同じなら④が正常とわかり今後これのみ使うまでは同じ

① 12 45

② 12 45

③ 12 45

④ 12 45

なので偽物判定の12を④に一枚づつのせ④1 2で釣り合い12が偽物と判明する

次は残りの3678を④に乗せ④36　78

で偽物のある36を一枚づつ④に乗せ④3　6で釣り合い全ての偽物123が判明する

これも計7回

最後は天秤に全ての偽物が混じったとき

123が偽物で①が不良品として①②③の判定が同じなら④が正常とわかり今後これのみ使うまでは同じ

① 12 34

② 12 34

③ 12 34

④ 12 34

となり偽物判定の12を④に一枚づつのせ④1　2

⁫12の偽物2枚が判明する

そうなると偽物3が本物と判断されかねないように見えるが最後やればわかる

なので残りの5678を④に乗せ④56　78

全てほんのとわかる

そして最後に34を④に一枚づつのせ④3 4

となり3が偽物と判明する

仮に釣り合うなら最後の9が偽物とわかりのどちらにせよ

全ての偽物3枚が判明する

これで計7回

この問題の天秤を使う数を無駄なく使い確実に判断できる天秤使用数最小と最大の数は最小5回最大7回となる

そして作家になったときよう能力アピールはどの程度の配分が正解なんだ？

やりすぎても反感を買い

やらなくて反感を持たざる者からお高く留まってと反感を買う

それが嫌ならこういうことしなければいいけど

そんなの許されるのは有名で人気ある作家様のみ今の時代新人が多すぎて目立たないとすぐ埋もれてしまう

まあ超ド級のネタあるからスタートダッシュの補正はあるけど

目立つことでの危険もある

元から小市民なので私本体の地位と名誉とどうでもいいけど

作品に影響のない世間との立ち回りは生涯の命題だな作家として

I'm a little smarter now

There are nine gold coins that look the same. Three of them are counterfeit and slightly lighter than the others.

You want to use a scale to identify the counterfeit coins.

There are four scales here. However, one of them is defective.

The defective scale will produce a random result from among "tilts to the right", "tilts to the left", and "balances".

You don't know which of the four scales is the defective one.

Use each scale once, then use any scale you like as many times as you like, and use the 3 fake coins out of the 9 without waste. Find the minimum and maximum number of scales you can use to make a reliable judgment.

If ① is a defective product and ①, ②, and ③ are judged to be the same, then ④ is normal and you will only use this from now on. The minimum is

① 123 456

② 123 456

③ 123 456

④ 123 456

So take the 123 that you think is fake and put the remaining 789 in ④ 456 789

If 456, which seems to be the correct answer, and 789, which is unclear, balance rather than weighing 123, which is likely a fake, then 123 is a fake, and the minimum number of times the scales are used is 5.

Next, if none of the fakes are on one side of the scale at the beginning,

123 is a fake, ① is a defective product, and if ①, ②, and ③ are judged to be the same, then ④ is normal, and the same rule applies until only this one is used from now on.

① 14 56

② 14 56

③ 14 56

④ 14 56

So, put the fake 14 on ④, ④1　4 to find out that 1 is fake, and put the remaining 2378 on ④, and ④23　78

to find out that the fake 23 is on ④, one by one.

④2　3

to find out that the three fakes are on ④.

If the order of putting them is different and it balances with ④27　38

, exchange one half of 78, and

④28　37

to find out that the three fakes are on ④.

So either way, it's a total of 7 times.

The reason why four are put on is because even if all four are judged the same, if you exchange one by one, you can find out the fakes with one normal balance, so if you increase the number more than that, the structure of the balance, which only has two, means that if all four are judged the same, the fakes will not be found with one normal balance, and the number of balances used will increase unnecessarily.

Next, when two fakes are put in at first,

123 is fake and ① is defective, and if the judgements of ①, ②, and ③ are the same, you can find out that ④ is normal, and it will be the same until you use only this one from now on.

① 12 45

② 12 45

③ 12 45

④ 12 45

So, put the fake 12s one by one on ④, balance it with ④ 1 2, and it turns out that 12 is fake.

Next, put the remaining 3678 on ④, and put the fake 36s one by one on ④ with ④ 36 78, and balance it with ④ 3 6, and all fakes 123 are revealed.

This also happens 7 times in total.

Finally, when all the fakes are mixed on the scale,

123 is fake and ① is defective, and if the judgements of ①, ②, and ③ are the same, it turns out that ④ is normal, and it will remain the same until it is the only one to be used from now on.

① 12 34

② 12 34

③ 12 34

④ 12 34

Then, put one each of the 12s that are fake on ④, ④1　2

⁫The two fakes of 12 are revealed

It would seem that fake 3 could be judged to be real, but you can find out by doing it at the end

So put the remaining 5678 on ④, ④56　78

You can see that they are all real

Then, finally, put one each of the 34s on ④, ④3　4

You can see that 3 is fake

If it balances, either way, the last 9 is fake

All three fakes will be revealed

That's a total of 7 times

The minimum and maximum number of scales that can be used without waste in this problem is a minimum of 5 and a maximum of 7

And when you become a writer, what is the correct distribution for your ability appeal? If you overdo it, you'll attract resentment, and if you don't, those who don't feel resentment will see you as being arrogant. If you don't like that, then don't do it. But only famous and popular writers can get away with it. In this day and age, there are so many newcomers that if you don't stand out, you'll get lost in the crowd. Well, there are some super-class stories, so there's a way to get a head start, but there are also dangers in standing out. I've always been a small-minded person, so I don't care about my own status and honor, but dealing with the world in a way that doesn't affect my work is a lifelong goal for me as a writer.