#!/usr/bin/env pypy3
# -*- coding: utf-8 -*-


def mwf(n: int, m: int, a: int, b: int, c: int, d: int) -> int:
    assert n > 0 and m > 0
    q, c = divmod(c, m)
    a += b * q
    q, d = divmod(d, m)
    s = b * q
    assert 0 <= c < m and 0 <= d < m
    y_max = (c * (n - 1) + d) // m
    return max(s, s + a * (n - 1)) if y_max == 0 else max(
        s,
        s + a * (n - 1) + b * y_max,
        s + (a + b) * (a < 0) + mwf(y_max, c, b, a, m, (m - d - 1))
    )


def solve():
    import sys
    input = sys.stdin.readline

    T = int(input())
    for _ in range(T):
        N, M, A, B, C, D = map(int, input().split())
        assert 0 < N and 0 < M
        ans = mwf(N, M, A, B, C, D)
        print(ans)


if __name__ == '__main__':
    solve()