Can you solve ---**Extracted Content:**
**Title:**
Crack the Code?
**Problem Description:**
A Numeric lock has a 3 Digit Key
**Visual Elements:**
* Image of a blue numeric lock with a "Z" symbol.
* Three blank rectangular boxes labeled "Code".
* A label "HINT" below the lock and code boxes.
**Hints:**
* [ 6 8 2 ]
One number is correct and well placed
* [ 6 1 4 ]
One number is correct but wrongly placed
* [ 2 0 6 ]
Two numbers are correct but wrongly placed
* [ 7 3 8 ]
Nothing is correct
* [ 7 8 0 ]
One number is correct but wrongly placed
**Other Text:**
Only Legends can give answer
视频信息
答案文本
视频字幕
Welcome to this exciting code-breaking challenge! We have a numeric lock with a 3-digit code that we need to crack. We're given five hints that will help us deduce the correct combination through logical reasoning. Each hint tells us about the relationship between the guessed numbers and the actual code. Let's start our detective work!
Let's begin our logical deduction with hint number 4, which states that 7, 3, and 8 - nothing is correct. This is extremely valuable information because it immediately eliminates three digits from consideration. We know for certain that 7, 3, and 8 are not part of our secret code. This narrows down our search significantly!
Welcome to this code-breaking challenge! We have a 3-digit numeric lock that needs to be cracked. We're given 5 hints that will help us systematically determine the correct combination. Let's start by examining each hint carefully.
Here are our five hints. Hint 1: 6, 8, 2 - one number is correct and well placed. Hint 2: 6, 1, 4 - one number is correct but wrongly placed. Hint 3: 2, 0, 6 - two numbers are correct but wrongly placed. Hint 4: 7, 3, 8 - nothing is correct. Hint 5: 7, 8, 0 - one number is correct but wrongly placed. Let's use logical deduction to solve this step by step.
Let's start with hint 4, which states that 7, 3, 8 - nothing is correct. This is our most useful hint because it tells us exactly which digits to eliminate. Since nothing is correct, we know that 7, 3, and 8 are definitely not in our code. This leaves us with the remaining digits: 0, 1, 2, 4, 5, 6, and 9.
Now let's examine hint 5: 7, 8, 0 with one number correct but in the wrong place. Since we already eliminated 7 and 8, the correct digit must be 0. The hint tells us that 0 is in the wrong place here. Since 0 appears in position 3 in this hint, we know that 0 is NOT in position 3 of our actual code. Therefore, 0 must be in position 1 or position 2.
After systematic analysis of all hints, we've determined that the code is 042. We eliminated digits 7, 3, and 8 from hint 4. We found that 0 must be in position 1 or 2 from hint 5. Through further analysis of the remaining hints, we determined that 0 is in position 1, 4 is in position 2, and 2 is in position 3. The lock code is 042!
Now let's use hint 3: 2, 0, 6 with two numbers correct but wrongly placed. We already know that 0 is one of the correct numbers. Since 0 appears in position 2 in this hint, and it's wrongly placed, we know that 0 is NOT in position 2 of our code. Combined with our previous finding that 0 is not in position 3, we can conclude that 0 must be in position 1. Our code now starts with 0.
Let's complete our deduction. We know 0 is in position 1. From hint 1, since 8 is eliminated and 0 is already in position 1, the digit 2 must be correct and in position 3. From hint 2, since 6 is not in our code, either 1 or 4 is correct but wrongly placed. Testing shows that 4 works in position 2. Therefore, our final answer is 042. We can verify this satisfies all five hints. The code is cracked!