|
|
from latex2sympy2_extended import NormalizationConfig |
|
|
from math_verify import LatexExtractionConfig, parse, verify |
|
|
from sympy.parsing.latex.errors import LaTeXParsingError |
|
|
|
|
|
content = """Let's denote the original number of workers and the original production amount by \( W \) and \( P \), respectively. We'll use these to find out how many workers there are in the plant. |
|
|
When 40 workers switch to the Stakhanovite method, the production increases by 20%, so the new production amount is \( 1.2W \). |
|
|
Then, when 60% of the workers (which is \( 1.2W \times 0.6 = 0.72W \)) switch to the new method, the production increases to two and a half times the original production: |
|
|
\[ W + 0.72W = 2.5W \] |
|
|
Let \( N \) be the total number of workers in the plant, and \( P \) be the original production amount. After all the workers switch to the new method, the production becomes \( N \times P \), and we know from the previous equation that \( N \times P = 2.5W \). |
|
|
Since 40 workers switch to the Stakhanovite method, we have: |
|
|
\[ W = N \times (1 - 0.4) = 0.6N \] |
|
|
And since 60% of the workers have switched, we get: |
|
|
\[ W \times 0.6 = N \times (1 - 0.4 - 0.32) = 0.28N \] |
|
|
Using the equation \( W = 0.6N \), we can substitute \( W \) with \( 0.6N \) in the second equation: |
|
|
\[ 0.6N \times 0.6 = 2.5N \] |
|
|
Reducing the left side: |
|
|
\[ 0.36N = 2.5N \] |
|
|
\[ N = 6.25N \] |
|
|
When all workers switch, the production becomes: |
|
|
\[ N \times N = N^2 = (2.5N)^2 = 6.25W \] |
|
|
Thus, the production increases by \( \frac{6.25W}{W} = 6.25 \) times.""" |
|
|
|
|
|
answer_parsed = parse( |
|
|
content, |
|
|
extraction_config=[ |
|
|
LatexExtractionConfig( |
|
|
normalization_config=NormalizationConfig( |
|
|
nits=False, |
|
|
malformed_operators=False, |
|
|
basic_latex=True, |
|
|
equations=True, |
|
|
boxed="all", |
|
|
units=True, |
|
|
), |
|
|
|
|
|
boxed_match_priority=0, |
|
|
try_extract_without_anchor=True, |
|
|
) |
|
|
], |
|
|
extraction_mode="first_match", |
|
|
) |
|
|
|
|
|
|
|
|
print (answer_parsed) |
|
|
|
