Created
February 1, 2025 16:06
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4o-twentyfive
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<USER> | |
### 4. Race to 2025! | |
``` | |
G N A J | |
+ N A | |
----------- | |
2 0 2 5 | |
``` | |
In this coded addition, different letters represent different digits, and the same digit is always represented by the same letter. Additionally, none of the multi-digit numbers start with zero. | |
**What is the value of NA?** | |
<ASSISTANT> | |
The value of **NA** is **93**. | |
<WRITTEN AND EXECUTED CODE> | |
# Brute-force approach to find the solution | |
from itertools import permutations | |
# Possible digits | |
digits = range(10) | |
# Trying all permutations for the letters G, N, A, J | |
for perm in permutations(digits, 5): # G, N, A, J, and the extra 2 for carry | |
G, N, A, J, extra = perm | |
# Constraints: None of the multi-digit numbers start with zero | |
if G == 0 or N == 0: | |
continue | |
# Form the numbers | |
GNAJ = G * 1000 + N * 100 + A * 10 + J | |
NA = N * 10 + A | |
total = GNAJ + NA | |
# Check if the sum is 2025 | |
if total == 2025: | |
result = NA | |
break | |
result |
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