from typing import List, Tuple


def solve(x: int, y: int, a: int) -> int:
    fromX: List[Tuple[int, int]] = []
    c: int = 0
    while 0 < x:
        fromX.append((x, c))
        x //= a
        c += 1
    fromX.append((x, c))

    def toX(n: int) -> int:
        return min(map(lambda b: abs(b[0] - n) + b[1], fromX))

    dp: Tuple[int, int, int] = (y, 0, 1e9)
    ans = 1e9
    while 1:
        i, j, k = dp
        ans = min(ans, toX(i) + j, toX(i + 1) + k)
        d, r = i // a, i % a
        if r == 0:
            dp = (d,
                  min(j + 1, k + 2),
                  k + a)
        elif r == a - 1:
            dp = (d,
                  j + a,
                  min(j + 2, k + 1))
        else:
            dp = (d,
                  min(j + r + 1, k + (r + 1) + 1),
                  min(j + (a - r) + 1, k + (a - (r + 1)) + 1))
        if i == 0:
            break
    return ans


def main():
    T = int(input())
    for _ in range(T):
        print(solve(*map(int, input().split())))


if __name__ == '__main__':
    main()