// 12. Equation (Version 1)
// An + B Log(n) + C n^3 = X
// 0 <= A,B, C <= 200, 0 <= X <= 10^15

#include <stdio.h>

int A, B, C, T;
long long X, N;
long long Ans;

void input()
{
	scanf("%d%d%d%lld", &A, &B, &C, &X);
	return;
}

int log(long long n)
{
	double d = (double) n;
	int value = 0;

	while (d >= 2.71828)
	{
		d /= 2.71828;
		value++;
	}
	return value;
}

void output(int t)
{
	printf("#%d %lld\n", t, Ans);
}

long long fun(long long n)
{

	// if ((A * n) + (B * log(n)) + (C * n * n * n) == X)
		// return 1;
	long long value = (A * n) + (B * log(n)) + (C * n * n * n);
	// printf("VAlue = %d\n", value);
	return value;
}

long long binarySearch()
{
	long long up, low, mid;

	low = 0;
	up = X;

	if (0 == C)
		up = X / A;
	else
		up = 100000;

	mid = (low + up) / 2;

	while (up > low)
	{
		//printf("Up = %d \t Low = %d\t MID = %d\n", up, low, mid);

		if (fun(mid) > X)
		{
			up = mid - 1;
		}
		else if (fun(mid) < X)
			low = mid + 1;
		else
			break;

		mid = (up + low) / 2;
	}
	return mid;
}

int main()
{
	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);

	int i, j, t;

	scanf("%d", &T);
	printf("%d\n", T);
	for (t = 1; t <= T; t++)
	{
		input();
		Ans = binarySearch();
		output(t);
	}

}


/*
Input
========
50
54 65 0 1065249
15 80 0 825140
78 45 56 43920106826409
88 33 61 10862481212288
51 16 76 75340716135101
61 80 68 15298476040666
37 96 78 44938769001299
77 8 44 3924571158308
56 8 43 17011168182463
100 71 44 17570901096904
11 66 68 28117566582478
96 38 5 1094101506680
14 47 0 1388015
15 39 0 1224144
68 74 55 451315777889
21 5 91 67383748150925
35 28 75 2035141989774
6 78 21 2631305071992
76 13 85 78855792807390
6 49 26 11039099911984
61 62 0 5278951
4 10 15 109605462904585
91 83 57 3837229109476
92 96 48 38983980235224
85 45 37 23256049751867
97 79 96 11964036473147
53 91 55 16638441356852
98 75 54 12851039806048
81 88 33 23579061196932
70 22 11 3691132858445
59 77 42 15972190135321
95 21 0 6075956
47 20 22 19806806647164
63 19 78 833719207132210
21 10 13 2739764429614
92 88 76 57214773468864
4 4 56 28844376325472
88 5 33 1736061482635
40 16 0 518584
84 49 5 2483025328383
36 11 23 283065394233134
85 42 41 57756572580
85 75 51 23039114493872
53 68 88 533843927607162
86 83 22 15724649965335
77 72 0 186536
97 70 92 56061933307380
91 76 15 3475527788850
68 64 36 12416924320488
31 49 37 6708895527852


*/

/*
Output
=======
50
#1 19716
#2 54956
#3 9222
#4 5626
#5 9971
#6 6082
#7 8321
#8 4468
#9 7341
#10 7364
#11 7450
#12 6026
#13 99107
#14 81581
#15 2017
#16 9047
#17 3005
#18 5004
#19 9753
#20 7516
#21 86529
#22 19405
#23 4068
#24 9330
#25 8566
#26 4995
#27 6713
#28 6197
#29 8940
#30 6949
#31 7245
#32 63955
#33 9656
#34 22028
#35 5951
#36 9097
#37 8016
#38 3747
#39 12961
#40 7919
#41 23088
#42 1121
#43 7673
#44 18238
#45 8941
#46 2416
#47 8478
#48 6142
#49 7013
#50 5660

*/