import math

def decomp(x: int, base: list[int]) -> dict[int, int]:
    base = sorted(base, reverse=True)

    coef = {}
    for b in base:
        c = math.floor(x / b)
        coef[b] = c
        x -= b * c

    return coef

print(decomp(25, [1, 5, 10, 25]))