Open the context
Choose the project folder and name the files or behavior involved.
Workflows
Coding workflows · Pairwise-coprime congruence merging
03
A concrete starting point
Merge up to eight congruences with residues within ±10^9 and pairwise-coprime moduli from 2 to 10^6. Test negative residues and empty input, rejecting Boolean components or shared factors while returning the least nonnegative solution and combined period.
Define the change
Describe the input, expected output and boundaries that must stay intact.
Inspect the work
Review the proposed edits and any commands before relying on their result.
Check the outcome
Compare actual behavior with the expected result. If a check fails, investigate it before applying more changes.
Pairwise-coprime congruence merging
A concrete starting point
import math
def merge_congruences(pairs):
if type(pairs) is not list or len(pairs) > 8:
raise ValueError("crt.input")
answer, period = 0, 1
for pair in pairs:
if type(pair) not in (list, tuple) or len(pair) != 2 or any(type(x) is not int for x in pair):
raise ValueError("crt.pair")
residue, modulus = pair
if abs(residue) > 10**9 or not 2 <= modulus <= 10**6 or math.gcd(period, modulus) != 1:
raise ValueError("crt.modulus")
step = ((residue-answer)*pow(period, -1, modulus)) % modulus
answer += period*step
period *= modulus
answer %= period
return answer, period
The example is a starting point for a real project, not a claim that generated code is already tested. Adjust paths, dependencies and expected behavior to match your application.