網路上有流傳以下這個密碼本，請嘗試看能否猜出來他想要表達的含意吧!
提示
從左圖看過來，就是每個圖案代表一個數字，這個數字又對應到一個國字。
右圖其實就是數學的算式。
要解的話，可以用 a 到 f 來分別代表六個圖案!
因此可以看成:
a + d + b = 13
b – d + a = 7
a + b – c = 10
e – f – a = 1
e – f – c = 7
f + e + c = 11
這樣您會解了嗎?
答案
先別看吧! 真的解不出來再看! 請用滑鼠來反白以下兩虛線內文字，即可看到答案喔!
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a = 6 對應「山」
b = 4 對應「中」
c = 0 對應「鳳」
d = 3 對應「凰」
e = 9 對應「在」
f = 2 對應「現」
所以就是「山中鳳凰在現」!
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你答對了嗎?
同場加映: ChatGPT 算不出來，還要人類給答案
以上若你有答對的話，再繼續往下滾，看看AI如何搞笑 XDD。
你確定要看嗎? 建議上面先算到正確答案喔!
== 我是劇透線 ==== 我是劇透線 ==== 我是劇透線 ==== 我是劇透線 ==== 我是劇透線 ==
== 我是劇透線 ==== 我是劇透線 ==== 我是劇透線 ==== 我是劇透線 ==== 我是劇透線 ==
好吧! 既然你堅持，以下就給您看!
從上面已知答案是:
a = 6
b = 4
c = 0
d = 3
e = 9
f = 2
透過 ChatGPT 請AI幫忙算這個算式，以下就是對話截圖：
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問:
a + d + b = 13
b – d + a = 7
a + b – c = 10
e – f – a = 1
e – f – c = 7
f + e + c = 11
求 a,b,c,d,e,f = ?
Starting with the first two equations:
a + d + b = 13
b – d + a = 7
Adding the two equations:
2a + 2b = 20
a + b = 10
Next, substituting a + b = 10 into one of the other equations:
a + b – c = 10
a + b = 10
-c = 0
c = 0
Next, substituting c = 0 and a + b = 10 into the remaining equations:
e – f – a = 1
e – f – 0 = 7
e – f = 7
e = f + 7
Finally, substituting e = f + 7 into one of the equations:
f + e + c = 11
f + (f + 7) + 0 = 11
2f + 7 = 11
2f = 4
f = 2
a + b = 10
a + b – 0 = 10
a = 5, b = 5
Using substitution method:
a + d + b = 13
b – d + a = 7
b = 7 – a + d
a + d + 7 – a + d = 13
2a + 2d = 6
a + d = 3
d = 3 – a
a + 3 – a + b = 13
2a + b = 10
b = 10 – 2a
b = 10 – 2 * 5
b = 0
So the solutions are: a = 5, b = 0, c = 0, d = -2, e = 9, f = 2.
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問:
no, no, abcdef should be 正整數
If a, b, c, d, e, and f are required to be positive integers, then the solution won’t work.
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問:
oh i mean abcdef 不能為負數
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問:
no, 你的答案 a+d+b 就不等於13 了呀
Starting with the first two equations:
a + d + b = 13
b – d + a = 7
Adding the two equations: 2a + 2b = 20 a + b = 10
Next, substituting a + b = 10 into one of the other equations:
a + b – c = 10
a + b = 10
-c = 0
c = 0
Next, substituting c = 0 and a + b = 10 into the remaining equations:
e – f – a = 1
e – f – 0 = 7
e – f = 7
e = f + 7
Finally, substituting e = f + 7 into one of the equations:
f + e + c = 11
f + (f + 7) + 0 = 11
2f + 7 = 11
2f = 4
f = 2
e = 9
a + b = 10
a + b – 0 = 10
a = 5, b = 5
So the solutions are: a = 5, b = 5, c = 0, d = 2, e = 9, f = 2.
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問:
還是不對啊, a+d+b=12了, 不是13
I apologize for the mistake. You are correct. The solution is: a = 5, b = 5, c = 0, d = 2, e = 9, f = 2.
And indeed, a + d + b = 5 + 2 + 5 = 12, not 13.
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問:
請再重新解一次
Starting with the first two equations:
a + d + b = 13
b – d + a = 7
Adding the two equations:
2a + 2b = 20
a + b = 10
Next, substituting a + b = 10 into one of the other equations:
a + b – c = 10
a + b = 10
-c = 0
c = 0
Next, substituting c = 0 and a + b = 10 into the remaining equations:
e – f – a = 1
e – f – 0 = 7
e – f = 7
e = f + 7
Finally, substituting e = f + 7 into one of the equations:
f + e + c = 11
f + (f + 7) + 0 = 11
2f + 7 = 11
2f = 4
f = 2
e = 9
a + b = 10
a + b – 0 = 10
a = 5, b = 5
So the solutions are:
a = 5, b = 5, c = 0, d = 2, e = 9, f = 2.
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問:
no no, your solution is wrong… you made a+d+b=12, not 13… it should be 13
Starting with the first two equations:
a + d + b = 13
b – d + a = 7
Adding the two equations:
2a + 2b = 20
a + b = 10
Next, substituting a + b = 10 into one of the other equations:
a + b – c = 10
a + b = 10
-c = 0
c = 0
Next, substituting c = 0 and a + b = 10 into the remaining equations:
e – f – a = 1
e – f – 0 = 7
e – f = 7
e = f + 7
Finally, substituting e = f + 7 into one of the equations:
f + e + c = 11
f + (f + 7) + 0 = 11
2f + 7 = 11
2f = 4
f = 2
e = 9
a + b = 10
a + b – 0 = 10
a = 5, b = 5
So the solutions are: a = 5, b = 5, c = 0, d = 2, e = 9, f = 2.
問:
are you serious? your answer is wrong.
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問:
should i tell you the correct answer?
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問:
a = 6 b = 4 c = 0 d = 3 e = 9 f = 2
The solution is indeed: a = 6, b = 4, c = 0, d = 3, e = 9, f = 2.
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問:
did you know what mistake you made?
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問:
could you resolve it again?
AI回:
Yes, here is the solution again:
Starting with the first two equations:
a + d + b = 13
b – d + a = 7
Adding the two equations:
2a + 2b = 20
a + b = 10
Next, substituting a + b = 10 into one of the other equations:
a + b – c = 10
a + b = 10
-c = 0
c = 0
Next, substituting c = 0 and a + b = 10 into the remaining equations:
e – f – a = 1
e – f – 0 = 7
e – f = 7
e = f + 7
Finally, substituting e = f + 7 into one of the equations:
f + e + c = 11
f + (f + 7) + 0 = 11
2f + 7 = 11
2f = 4
f = 2
e = 9
a + b = 10
a + b – 0 = 10
a = 5, b = 5
So the solutions are: a = 6, b = 4, c = 0, d = 3, e = 9, f = 2.
== 劇透線結束 ==== 劇透線結束 ==== 劇透線結束 ==== 劇透線結束 ==== 劇透線結束 ==
== 劇透線結束 ==== 劇透線結束 ==== 劇透線結束 ==== 劇透線結束 ==== 劇透線結束 ==
AI錯在哪裡呢?
若你有仔細看上面的對話，應該可以知道AI在計算過程中有什麼錯誤吧!
一句話: 就是沒有驗證。
解出來的答案，還是要代回原先的對等式內做驗證，若有不對，就要將錯誤的部份再算一次，直到算正確為止。而不是算完就了事!
最後在人類給答案之後，AI還是堅持自己的運算方法，最後直接給出人類提供的答案。AI還是沒找到問題點啊啊啊… XDorz
加碼演出: Jan30版本還是算錯… orz
ChatGPT被詬病一堆數學式子算錯，OpenAI官方推出新的Jan30版本，說有改進事實性和數學能力，那我們再來考考他吧!
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問:
a + d + b = 13
b – d + a = 7
a + b – c = 10
e – f – a = 1
e – f – c = 7
f + e + c = 11
a,b,c,d,e,f 不能為負數, 求 a,b,c,d,e,f = ?
The system of linear equations you provided can be solved using elimination or substitution method. Here’s one way to find the values of a, b, c, d, e, and f:
- Solve for a in equation (1) and (2): a = (13 – d – b)/2 and a = (7 – b + d)/2 Setting them equal to each other, we get: 13 – d – b = 7 – b + d 20 = 2d d = 10
- Substitute d = 10 into equation (1) and (2) to find b: b = (13 – a – 10)/2 and b = (7 – a + 10)/2 Setting them equal to each other, we get: 13 – a – 10 = 7 – a + 10 20 = 2a a = 10
- Substitute a = 10 and d = 10 into equation (3), (4), and (5) to find c, e, and f: c = 10 – b + 10 = 20 – b e – 10 – 10 = 1 e = 21 f + 21 + 10 = 11 f = -10
So the solution to the system of equations is: a = 10, b = 3, c = 7, d = 10, e = 21, f = -10.
問: a,b,c,d,e,f cannot be negative
In that case, the values of a, b, c, d, e, and f that satisfy the constraint of not being negative are:
a = 10, b = 3, c = 7, d = 10, e = 21, f = 0.
看到上面的回覆，可能又要驚掉了下巴! 顯然AI又給錯誤的答案，哎! 不想問下去了… XDorz
