import copy import heapq import itertools import math import operator import sys from bisect import bisect, bisect_left, bisect_right, insort from collections import Counter, deque from fractions import Fraction from functools import cmp_to_key, lru_cache, partial from inspect import currentframe from math import ceil, gcd, log10, pi, sqrt # import pypyjit # pypyjit.set_param('max_unroll_recursion=-1') input = sys.stdin.readline sys.setrecursionlimit(10000000) # mod = 10 ** 9 + 7 mod = 998244353 # mod = 1 << 128 # mod = 10 ** 30 + 1 INF = 1 << 61 DIFF = 10 ** -9 DX = [1, 0, -1, 0, 1, 1, -1, -1] DY = [0, 1, 0, -1, 1, -1, 1, -1] def read_values(): return tuple(map(int, input().split())) def read_index(): return tuple(map(lambda x: int(x) - 1, input().split())) def read_list(): return list(read_values()) def read_lists(N): return [read_list() for _ in range(N)] def dprint(*values): print(*values, file=sys.stderr) def dprint2(*values): names = {id(v): k for k, v in currentframe().f_back.f_locals.items()} dprint(", ".join(f"{names.get(id(value), '???')}={repr(value)}" for value in values)) def solve(): N, M, A, B, C, D = read_values() def f(N, M, A, B, C, D, K): assert(0 <= C < M) assert(0 <= D < M) if N == 0: return 0 def v(x): return A * x + B * ((C * x + D) // M) + K # res = max(v(i) for i in range(N)) # print(f"{N=}, {M=}, {A=}, {B=}, {C=}, {D=}, {K=}: {res=}") if C == 0 or A * B >= 0: return max(v(0), v(N - 1)) m, r1 = M // C, M % C d, r2 = D // C, D % C if A > 0: while r1 - r2 - 1 < 0: r2 -= C d += 1 # print("--A--") return max(f( min(N, (C * N + D + M - 1) // M - 1), C, m * A + B, A, r1, r1 - r2 - 1, A * (m - d) + K, ), v(N - 1)) else: while r1 - r2 - 1 < 0: r2 -= C d += 1 # print("--B--") return max(v(0), f( min(N, (C * N + D + M - 1) // M - 1), C, m * A + B, A, r1, r1 - r2 - 1, A * (m + 1 - d) + B + K, )) return f(N, M, A, B, C, D, 0) def main(): T = int(input()) res = [] for _ in range(T): res.append(solve()) print(*res, sep="\n") if __name__ == "__main__": main()