Datasets:
| from fractions import Fraction | |
| f0, f1, f2 = map(Fraction, (2, 5, 10)) | |
| c = f0 | |
| a = (f2 - 2 * f1 + f0) / 2 | |
| b = f1 - a - c | |
| def f(n): | |
| return a * n * n + b * n + c | |
| assert [f(n) for n in range(3)] == [f0, f1, f2] | |
| result = {"coefficients": [str(a), str(b), str(c)], "f10": str(f(10)), | |
| "sum_1_to_10": str(sum(f(n) for n in range(1, 11)))} | |
| import json | |
| print(json.dumps(result, ensure_ascii=False, sort_keys=True)) | |