1,1,0,0,0,0,0
1,1,0,0,0,0,0
2,1,0,0,0,0,0
2,1,0,0,0,0,0
3,1,0,0,0,0,0
3,1,0,0,0,0,0
4,1,0,1,0,0,0
4,1,0,1,0,0,0
5,1,1,0,1,0,0
5,1,1,0,1,0,0
6,1,0,0,0,0,0
6,1,0,0,0,0,0
7,1,0,0,0,0,0
7,1,0,0,0,0,0
8,0,1,0,1,1,0
8,0,1,0,1,1,0
9,1,0,0,0,0,0
9,1,0,0,0,0,0
10,0,1,0,0,0,0
10,0,1,0,0,0,0
11,0,0,0,0,2,0
11,0,0,0,0,2,0
12,1,0,0,1,2,0
12,1,0,0,1,2,0
13,0,1,1,0,6,0
13,0,1,1,0,6,0
14,2,0,0,1,0,0
14,2,0,0,1,0,0
15,1,0,0,0,2,0
15,1,0,0,0,2,0
16,0,0,0,1,0,0
16,0,0,0,1,0,0
17,2,1,0,0,4,0
17,2,1,0,0,4,0
18,0,0,0,1,0,0
18,0,0,0,1,0,0
19,0,1,0,0,0,0
19,0,1,0,0,0,0
20,1,0,0,0,0,0
20,1,0,0,0,0,0
21,1,0,0,0,0,0
21,1,0,0,0,0,0
23,1,1,1,1,2,0
23,1,1,1,1,2,0
24,1,0,0,1,1,0
24,1,0,0,1,1,0
25,1,0,0,1,0,0
25,1,0,0,1,0,0
26,1,0,1,0,2,0
26,1,0,1,0,2,0
27,0,1,1,0,2,0
27,0,1,1,0,2,0
28,0,0,1,0,0,0
28,0,0,1,0,0,0
29,1,0,0,0,0,0
29,1,0,0,0,0,0
30,0,0,0,0,2,0
30,0,0,0,0,2,0
31,0,1,0,0,0,0
31,0,1,0,0,0,0
34,0,0,0,0,2,0
34,0,0,0,0,2,0
35,0,1,0,0,2,0
35,0,1,0,0,2,0
36,0,1,0,0,0,0
36,0,1,0,0,0,0
38,1,0,2,0,2,0
38,1,0,2,0,2,0
40,1,0,0,0,0,0
40,1,0,0,0,0,0
41,0,1,0,0,0,0
41,0,1,0,0,0,0
42,0,0,0,1,0,0
42,0,0,0,1,0,0
44,1,0,0,0,0,0
44,1,0,0,0,0,0
46,0,0,1,0,0,0
46,0,0,1,0,0,0
47,1,0,0,0,0,0
47,1,0,0,0,0,0
48,0,0,1,0,0,0
48,0,0,1,0,0,0
49,0,0,0,1,0,0
49,0,0,0,1,0,0
50,0,1,0,0,0,0
50,0,1,0,0,0,0
51,0,0,0,0,2,0
51,0,0,0,0,2,0
52,1,0,0,1,2,0
52,1,0,0,1,2,0
53,2,0,0,0,2,0
53,2,0,0,0,2,0
55,0,0,1,0,0,0
55,0,0,1,0,0,0
56,1,0,0,0,4,0
56,1,0,0,0,4,0
57,1,0,0,0,2,0
57,1,0,0,0,2,0
58,0,0,0,1,0,0
58,0,0,0,1,0,0
59,0,1,0,0,0,0
59,0,1,0,0,0,0
60,1,2,0,1,12,0
60,1,2,0,1,12,0
61,3,0,1,0,4,0
61,3,0,1,0,4,0
62,2,0,3,0,4,0
62,2,0,3,0,4,0
63,0,2,1,0,6,0
63,0,2,1,0,6,0
64,2,0,0,1,1,0
64,2,0,0,1,1,0
65,3,0,2,1,10,0
65,3,0,2,1,10,0
66,1,1,0,0,4,0
66,1,1,0,0,4,0
67,0,2,0,0,6,0
67,0,2,0,0,6,0
68,2,2,3,0,2,0
68,2,2,3,0,2,0
69,4,1,0,0,4,0
69,4,1,0,0,4,0
70,1,3,0,0,0,0
70,1,3,0,0,0,0
71,2,1,0,2,6,0
71,2,1,0,2,6,0
73,1,0,1,0,0,0
73,1,0,1,0,0,0
74,0,2,2,0,0,0
74,0,2,2,0,0,0
75,1,2,1,1,4,0
75,1,2,1,1,4,0
76,1,0,1,0,0,0
76,1,0,1,0,0,0
78,1,1,1,0,2,0
78,1,1,1,0,2,0
79,0,1,1,1,10,0
79,0,1,1,1,10,0
80,1,2,1,1,6,0
80,1,2,1,1,6,0
81,1,1,3,1,6,0
81,1,1,3,1,6,0
82,1,0,2,1,8,0
82,1,0,2,1,8,0
83,1,1,2,0,4,0
83,1,1,2,0,4,0
84,1,1,0,0,4,0
84,1,1,0,0,4,0
85,2,0,0,0,2,0
85,2,0,0,0,2,0
86,0,1,0,1,1,0
86,0,1,0,1,1,0
87,1,0,0,0,4,0
87,1,0,0,0,4,0
88,1,0,0,0,2,0
88,1,0,0,0,2,0
89,2,0,0,0,2,0
89,2,0,0,0,2,0
90,1,0,0,0,0,0
90,1,0,0,0,0,0
91,4,1,0,1,2,0
91,4,1,0,1,2,0
92,1,0,0,0,2,0
92,1,0,0,0,2,0
93,1,0,1,1,4,0
93,1,0,1,1,4,0
94,0,2,0,0,4,0
94,0,2,0,0,4,0
95,2,1,0,0,4,0
95,2,1,0,0,4,0
96,2,2,1,0,2,0
96,2,2,1,0,2,0
97,1,1,1,1,8,0
97,1,1,1,1,8,0
98,1,0,2,1,8,0
98,1,0,2,1,8,0
99,2,0,0,0,2,0
99,2,0,0,0,2,0
100,3,1,2,0,0,0
100,3,1,2,0,0,0
101,2,1,0,0,4,0
101,2,1,0,0,4,0
102,0,1,1,1,6,0
102,0,1,1,1,6,0
103,2,0,1,0,0,0
103,2,0,1,0,0,0
104,2,1,3,2,2,0
104,2,1,3,2,2,0
105,0,0,2,0,2,0
105,0,0,2,0,2,0
106,1,1,0,0,0,0
106,1,1,0,0,0,0
107,2,0,0,0,2,0
107,2,0,0,0,2,0
108,4,3,1,0,2,0
108,4,3,1,0,2,0
109,3,0,2,0,0,0
109,3,0,2,0,0,0
110,1,1,1,1,1,0
110,1,1,1,1,1,0
111,1,1,1,0,4,0
111,1,1,1,0,4,0
112,1,2,2,1,2,0
112,1,2,2,1,2,0
113,1,3,2,0,2,0
113,1,3,2,0,2,0
114,1,0,0,1,0,0
114,1,0,0,1,0,0
115,1,1,2,0,2,0
115,1,1,2,0,2,0
116,3,1,0,1,0,0
116,3,1,0,1,0,0
117,3,1,0,0,2,0
117,3,1,0,0,2,0
118,2,1,4,1,2,0
118,2,1,4,1,2,0
119,6,1,1,1,0,0
119,6,1,1,1,0,0
120,1,1,2,1,4,0
120,1,1,2,1,4,0
121,2,2,3,0,2,0
121,2,2,3,0,2,0
122,3,0,0,0,2,0
122,3,0,0,0,2,0
123,0,1,2,2,6,0
123,0,1,2,2,6,0
124,2,1,1,0,0,0
124,2,1,1,0,0,0
125,3,1,0,1,0,0
125,3,1,0,1,0,0
126,4,2,4,1,1,0
126,4,2,4,1,1,0
127,2,1,3,1,0,0
127,2,1,3,1,0,0
128,0,2,5,2,4,0
128,0,2,5,2,4,0
129,0,1,1,0,8,0
129,0,1,1,0,8,0
130,2,4,0,0,2,0
130,2,4,0,0,2,0
131,0,1,0,1,6,0
131,0,1,0,1,6,0
132,2,0,2,1,8,0
132,2,0,2,1,8,0
133,2,5,1,0,2,0
133,2,5,1,0,2,0
134,2,3,4,1,4,0
134,2,3,4,1,4,0
135,2,1,1,1,2,0
135,2,1,1,1,2,0
136,3,1,2,1,2,0
136,3,1,2,1,2,0
137,3,1,3,0,0,0
137,3,1,3,0,0,0
138,4,1,2,0,2,0
138,4,1,2,0,2,0
139,2,1,2,0,2,0
139,2,1,2,0,2,0
140,1,0,1,0,6,0
140,1,0,1,0,6,0
141,1,0,3,1,4,0
141,1,0,3,1,4,0
142,2,1,1,0,0,0
142,2,1,1,0,0,0
143,5,2,3,0,2,0
143,5,2,3,0,2,0
144,1,1,1,1,2,0
144,1,1,1,1,2,0
145,1,0,2,0,2,0
145,1,0,2,0,2,0
146,4,3,2,1,2,0
146,4,3,2,1,2,0
147,1,2,2,0,2,0
147,1,2,2,0,2,0
148,1,0,3,0,2,0
148,1,0,3,0,2,0
149,3,1,2,2,0,0
149,3,1,2,2,0,0
150,1,0,1,1,6,0
150,1,0,1,1,6,0
151,2,1,1,1,6,0
151,2,1,1,1,6,0
152,1,1,0,1,8,0
152,1,1,0,1,8,0
153,3,0,1,0,0,0
153,3,0,1,0,0,0
154,1,1,0,0,8,0
154,1,1,0,0,8,0
