A4F Puzzle

⚠️ SYSTEM DIAGNOSTIC PANEL ⚠️

SERVER TIME: DAY-06 | STATUS: CRITICAL FAILURE

>> MISSION PROTOCOL:
  • Expand the 4 Corrupted Log Files below.
  • Use the MASTER KEY at the bottom of the screen to decode the pieces.
  • Enter the EXPANSION and the CODE WORD to reboot.
🛑 FILE 01: SECURITY
log ( x · y · z )
w
1. EXPANDED FORM:

ck. 

  • Use the Master Key to translate the pieces.

  • Unscramble to reveal the SECURITY STATUS.

2. CODE WORD:

  

🔒 FILE 02: DOOR JAM
log ( x3 · y2 · z2 )
w2
1. EXPANDED FORM:

 

  • Use the Master Key to translate the pieces.

  • Unscramble to reveal the DOOR PROTOCOL.

2. CODE WORD:

  

🔥 FILE 03: CORE TEMP
log ( z2 · y2 · x3 )
w3
1. EXPANDED FORM:

  

2.

  • Use the Master Key to translate the pieces.

  • Unscramble to reveal the CORE TEMPERATURE.

CODE WORD:

  

💾 FILE 04: OUTCOME
log ( x · √x )
y · z
1. EXPANDED FORM:

  

2

  • Use the Master Key to translate the pieces.

  • Unscramble to reveal the MISSION OUTCOME

. CODE WORD:

 

🔑 MASTER DECODER KEY

log x = S
3 log x = L
1/2 log x = W
log y = A
2 log y = O
log z = F
2 log z = C
- log w = E
- 2 log w = K
- 3 log w = D
- log y = I
- log z = N



⚠️ SYSTEM OVERRIDE SEQUENCE ⚠️

THREAT LEVEL: IMMINENT | PROTOCOL: MANUAL PATCH

>> COMMANDER STONE:

"The virus has adapted. The screens are turning red. We need to manually debug the corrupted lines and calculate the time remaining before total system failure. Good luck, recruits."

🔍 SEQUENCE 05: TRACE ROUTE 

Analyze the data stream for corruption.

INPUT: log( x3 · y )
OUTPUT: 3log(x) - log(y)

Is this expansion TRUE (Clean) or FALSE (Corrupted)?

TRUE / FALSE]  


,


🛠️ SEQUENCE 06: THE PATCH

Compile the fragmented logs into one packet.

log(a) + log(b) - 2log(c)

Enter the single condensed log:

 
⚡ SEQUENCE 07: ROOT ACCESS

Decrypt the Kernel using Natural Logs (ln).

ln( P · ert )

Hint: Recall that ln(e) = 1.

T 
💣 FINAL BOSS: THE DOOMSDAY CLOCK

"The virus starts with 20 cells but grows continuously at a rate of 35% per hour. The system fails at 1,000,000 cells."

1,000,000 = 50e0.45t

Calculate the hours (t) remaining until failure.

(Round to the nearest whole hour)

 

✅ SYSTEM RESTORED

SERVER TIME: ONLINE

THREAT LEVEL: NORMAL

DATA INTEGRITY: 100%

"Outstanding work, Recruits. The patch was successful."