1: 1 1 1 1 1
2: X 1 1 1 1
3: 2 1 1 1 1
4: 1 X 1 1 1
5: X X 1 1 1
6: 2 X 1 1 1
7: 1 2 1 1 1
8: X 2 1 1 1
9: 2 2 1 1 1
10: 1 1 X 1 1
11: X 1 X 1 1
12: 2 1 X 1 1
13: 1 X X 1 1
14: X X X 1 1
15: 2 X X 1 1
16: 1 2 X 1 1
17: X 2 X 1 1
18: 2 2 X 1 1
19: 1 1 2 1 1
20: X 1 2 1 1
21: 2 1 2 1 1
22: 1 X 2 1 1
23: X X 2 1 1
24: 2 X 2 1 1
25: 1 2 2 1 1
26: X 2 2 1 1
27: 2 2 2 1 1
28: 1 1 1 X 1
29: X 1 1 X 1
30: 2 1 1 X 1
31: 1 X 1 X 1
32: X X 1 X 1
33: 2 X 1 X 1
34: 1 2 1 X 1
35: X 2 1 X 1
36: 2 2 1 X 1
37: 1 1 X X 1
38: X 1 X X 1
39: 2 1 X X 1
40: 1 X X X 1
41: X X X X 1
42: 2 X X X 1
43: 1 2 X X 1
44: X 2 X X 1
45: 2 2 X X 1
46: 1 1 2 X 1
47: X 1 2 X 1
48: 2 1 2 X 1
49: 1 X 2 X 1
50: X X 2 X 1
51: 2 X 2 X 1
52: 1 2 2 X 1
53: X 2 2 X 1
54: 2 2 2 X 1
55: 1 1 1 2 1
56: X 1 1 2 1
57: 2 1 1 2 1
58: 1 X 1 2 1
59: X X 1 2 1
60: 2 X 1 2 1
61: 1 2 1 2 1
62: X 2 1 2 1
63: 2 2 1 2 1
64: 1 1 X 2 1
65: X 1 X 2 1
66: 2 1 X 2 1
67: 1 X X 2 1
68: X X X 2 1
69: 2 X X 2 1
70: 1 2 X 2 1
71: X 2 X 2 1
72: 2 2 X 2 1
73: 1 1 2 2 1
74: X 1 2 2 1
75: 2 1 2 2 1
76: 1 X 2 2 1
77: X X 2 2 1
78: 2 X 2 2 1
79: 1 2 2 2 1
80: X 2 2 2 1
81: 2 2 2 2 1
82: 1 1 1 1 X
83: X 1 1 1 X
84: 2 1 1 1 X
85: 1 X 1 1 X
86: X X 1 1 X
87: 2 X 1 1 X
88: 1 2 1 1 X
89: X 2 1 1 X
90: 2 2 1 1 X
91: 1 1 X 1 X
92: X 1 X 1 X
93: 2 1 X 1 X
94: 1 X X 1 X
95: X X X 1 X
96: 2 X X 1 X
97: 1 2 X 1 X
98: X 2 X 1 X
99: 2 2 X 1 X
100: 1 1 2 1 X
101: X 1 2 1 X
102: 2 1 2 1 X
103: 1 X 2 1 X
104: X X 2 1 X
105: 2 X 2 1 X
106: 1 2 2 1 X
107: X 2 2 1 X
108: 2 2 2 1 X
109: 1 1 1 X X
110: X 1 1 X X
111: 2 1 1 X X
112: 1 X 1 X X
113: X X 1 X X
114: 2 X 1 X X
115: 1 2 1 X X
116: X 2 1 X X
117: 2 2 1 X X
118: 1 1 X X X
119: X 1 X X X
120: 2 1 X X X
121: 1 X X X X
122: X X X X X
123: 2 X X X X
124: 1 2 X X X
125: X 2 X X X
126: 2 2 X X X
127: 1 1 2 X X
128: X 1 2 X X
129: 2 1 2 X X
130: 1 X 2 X X
131: X X 2 X X
132: 2 X 2 X X
133: 1 2 2 X X
134: X 2 2 X X
135: 2 2 2 X X
136: 1 1 1 2 X
137: X 1 1 2 X
138: 2 1 1 2 X
139: 1 X 1 2 X
140: X X 1 2 X
141: 2 X 1 2 X
142: 1 2 1 2 X
143: X 2 1 2 X
144: 2 2 1 2 X
145: 1 1 X 2 X
146: X 1 X 2 X
147: 2 1 X 2 X
148: 1 X X 2 X
149: X X X 2 X
150: 2 X X 2 X
151: 1 2 X 2 X
152: X 2 X 2 X
153: 2 2 X 2 X
154: 1 1 2 2 X
155: X 1 2 2 X
156: 2 1 2 2 X
157: 1 X 2 2 X
158: X X 2 2 X
159: 2 X 2 2 X
160: 1 2 2 2 X
161: X 2 2 2 X
162: 2 2 2 2 X
163: 1 1 1 1 2
164: X 1 1 1 2
165: 2 1 1 1 2
166: 1 X 1 1 2
167: X X 1 1 2
168: 2 X 1 1 2
169: 1 2 1 1 2
170: X 2 1 1 2
171: 2 2 1 1 2
172: 1 1 X 1 2
173: X 1 X 1 2
174: 2 1 X 1 2
175: 1 X X 1 2
176: X X X 1 2
177: 2 X X 1 2
178: 1 2 X 1 2
179: X 2 X 1 2
180: 2 2 X 1 2
181: 1 1 2 1 2
182: X 1 2 1 2
183: 2 1 2 1 2
184: 1 X 2 1 2
185: X X 2 1 2
186: 2 X 2 1 2
187: 1 2 2 1 2
188: X 2 2 1 2
189: 2 2 2 1 2
190: 1 1 1 X 2
191: X 1 1 X 2
192: 2 1 1 X 2
193: 1 X 1 X 2
194: X X 1 X 2
195: 2 X 1 X 2
196: 1 2 1 X 2
197: X 2 1 X 2
198: 2 2 1 X 2
199: 1 1 X X 2
200: X 1 X X 2
201: 2 1 X X 2
202: 1 X X X 2
203: X X X X 2
204: 2 X X X 2
205: 1 2 X X 2
206: X 2 X X 2
207: 2 2 X X 2
208: 1 1 2 X 2
209: X 1 2 X 2
210: 2 1 2 X 2
211: 1 X 2 X 2
212: X X 2 X 2
213: 2 X 2 X 2
214: 1 2 2 X 2
215: X 2 2 X 2
216: 2 2 2 X 2
217: 1 1 1 2 2
218: X 1 1 2 2
219: 2 1 1 2 2
220: 1 X 1 2 2
221: X X 1 2 2
222: 2 X 1 2 2
223: 1 2 1 2 2
224: X 2 1 2 2
225: 2 2 1 2 2
226: 1 1 X 2 2
227: X 1 X 2 2
228: 2 1 X 2 2
229: 1 X X 2 2
230: X X X 2 2
231: 2 X X 2 2
232: 1 2 X 2 2
233: X 2 X 2 2
234: 2 2 X 2 2
235: 1 1 2 2 2
236: X 1 2 2 2
237: 2 1 2 2 2
238: 1 X 2 2 2
239: X X 2 2 2
240: 2 X 2 2 2
241: 1 2 2 2 2
242: X 2 2 2 2
243: 2 2 2 2 2
1: 1 1 1 1 1
2: 1 1 1 1 X
3: 1 1 1 1 2
4: 1 1 1 X 1
5: 1 1 1 X X
6: 1 1 1 X 2
7: 1 1 1 2 1
8: 1 1 1 2 X
9: 1 1 1 2 2
10: 1 1 X 1 1
11: 1 1 X 1 X
12: 1 1 X 1 2
13: 1 1 X X 1
14: 1 1 X X X
15: 1 1 X X 2
16: 1 1 X 2 1
17: 1 1 X 2 X
18: 1 1 X 2 2
19: 1 1 2 1 1
20: 1 1 2 1 X
21: 1 1 2 1 2
22: 1 1 2 X 1
23: 1 1 2 X X
24: 1 1 2 X 2
25: 1 1 2 2 1
26: 1 1 2 2 X
27: 1 1 2 2 2
28: 1 X 1 1 1
29: 1 X 1 1 X
30: 1 X 1 1 2
31: 1 X 1 X 1
32: 1 X 1 X X
33: 1 X 1 X 2
34: 1 X 1 2 1
35: 1 X 1 2 X
36: 1 X 1 2 2
37: 1 X X 1 1
38: 1 X X 1 X
39: 1 X X 1 2
40: 1 X X X 1
41: 1 X X X X
42: 1 X X X 2
43: 1 X X 2 1
44: 1 X X 2 X
45: 1 X X 2 2
46: 1 X 2 1 1
47: 1 X 2 1 X
48: 1 X 2 1 2
49: 1 X 2 X 1
50: 1 X 2 X X
51: 1 X 2 X 2
52: 1 X 2 2 1
53: 1 X 2 2 X
54: 1 X 2 2 2
55: 1 2 1 1 1
56: 1 2 1 1 X
57: 1 2 1 1 2
58: 1 2 1 X 1
59: 1 2 1 X X
60: 1 2 1 X 2
61: 1 2 1 2 1
62: 1 2 1 2 X
63: 1 2 1 2 2
64: 1 2 X 1 1
65: 1 2 X 1 X
66: 1 2 X 1 2
67: 1 2 X X 1
68: 1 2 X X X
69: 1 2 X X 2
70: 1 2 X 2 1
71: 1 2 X 2 X
72: 1 2 X 2 2
73: 1 2 2 1 1
74: 1 2 2 1 X
75: 1 2 2 1 2
76: 1 2 2 X 1
77: 1 2 2 X X
78: 1 2 2 X 2
79: 1 2 2 2 1
80: 1 2 2 2 X
81: 1 2 2 2 2
82: X 1 1 1 1
83: X 1 1 1 X
84: X 1 1 1 2
85: X 1 1 X 1
86: X 1 1 X X
87: X 1 1 X 2
88: X 1 1 2 1
89: X 1 1 2 X
90: X 1 1 2 2
91: X 1 X 1 1
92: X 1 X 1 X
93: X 1 X 1 2
94: X 1 X X 1
95: X 1 X X X
96: X 1 X X 2
97: X 1 X 2 1
98: X 1 X 2 X
99: X 1 X 2 2
100: X 1 2 1 1
101: X 1 2 1 X
102: X 1 2 1 2
103: X 1 2 X 1
104: X 1 2 X X
105: X 1 2 X 2
106: X 1 2 2 1
107: X 1 2 2 X
108: X 1 2 2 2
109: X X 1 1 1
110: X X 1 1 X
111: X X 1 1 2
112: X X 1 X 1
113: X X 1 X X
114: X X 1 X 2
115: X X 1 2 1
116: X X 1 2 X
117: X X 1 2 2
118: X X X 1 1
119: X X X 1 X
120: X X X 1 2
121: X X X X 1
122: X X X X X
123: X X X X 2
124: X X X 2 1
125: X X X 2 X
126: X X X 2 2
127: X X 2 1 1
128: X X 2 1 X
129: X X 2 1 2
130: X X 2 X 1
131: X X 2 X X
132: X X 2 X 2
133: X X 2 2 1
134: X X 2 2 X
135: X X 2 2 2
136: X 2 1 1 1
137: X 2 1 1 X
138: X 2 1 1 2
139: X 2 1 X 1
140: X 2 1 X X
141: X 2 1 X 2
142: X 2 1 2 1
143: X 2 1 2 X
144: X 2 1 2 2
145: X 2 X 1 1
146: X 2 X 1 X
147: X 2 X 1 2
148: X 2 X X 1
149: X 2 X X X
150: X 2 X X 2
151: X 2 X 2 1
152: X 2 X 2 X
153: X 2 X 2 2
154: X 2 2 1 1
155: X 2 2 1 X
156: X 2 2 1 2
157: X 2 2 X 1
158: X 2 2 X X
159: X 2 2 X 2
160: X 2 2 2 1
161: X 2 2 2 X
162: X 2 2 2 2
163: 2 1 1 1 1
164: 2 1 1 1 X
165: 2 1 1 1 2
166: 2 1 1 X 1
167: 2 1 1 X X
168: 2 1 1 X 2
169: 2 1 1 2 1
170: 2 1 1 2 X
171: 2 1 1 2 2
172: 2 1 X 1 1
173: 2 1 X 1 X
174: 2 1 X 1 2
175: 2 1 X X 1
176: 2 1 X X X
177: 2 1 X X 2
178: 2 1 X 2 1
179: 2 1 X 2 X
180: 2 1 X 2 2
181: 2 1 2 1 1
182: 2 1 2 1 X
183: 2 1 2 1 2
184: 2 1 2 X 1
185: 2 1 2 X X
186: 2 1 2 X 2
187: 2 1 2 2 1
188: 2 1 2 2 X
189: 2 1 2 2 2
190: 2 X 1 1 1
191: 2 X 1 1 X
192: 2 X 1 1 2
193: 2 X 1 X 1
194: 2 X 1 X X
195: 2 X 1 X 2
196: 2 X 1 2 1
197: 2 X 1 2 X
198: 2 X 1 2 2
199: 2 X X 1 1
200: 2 X X 1 X
201: 2 X X 1 2
202: 2 X X X 1
203: 2 X X X X
204: 2 X X X 2
205: 2 X X 2 1
206: 2 X X 2 X
207: 2 X X 2 2
208: 2 X 2 1 1
209: 2 X 2 1 X
210: 2 X 2 1 2
211: 2 X 2 X 1
212: 2 X 2 X X
213: 2 X 2 X 2
214: 2 X 2 2 1
215: 2 X 2 2 X
216: 2 X 2 2 2
217: 2 2 1 1 1
218: 2 2 1 1 X
219: 2 2 1 1 2
220: 2 2 1 X 1
221: 2 2 1 X X
222: 2 2 1 X 2
223: 2 2 1 2 1
224: 2 2 1 2 X
225: 2 2 1 2 2
226: 2 2 X 1 1
227: 2 2 X 1 X
228: 2 2 X 1 2
229: 2 2 X X 1
230: 2 2 X X X
231: 2 2 X X 2
232: 2 2 X 2 1
233: 2 2 X 2 X
234: 2 2 X 2 2
235: 2 2 2 1 1
236: 2 2 2 1 X
237: 2 2 2 1 2
238: 2 2 2 X 1
239: 2 2 2 X X
240: 2 2 2 X 2
241: 2 2 2 2 1
242: 2 2 2 2 X
243: 2 2 2 2 2
0: 1 1 1 1 1
1: X 1 1 1 1
2: 2 1 1 1 1
3: 1 X 1 1 1
4: X X 1 1 1
5: 2 X 1 1 1
6: 1 2 1 1 1
7: X 2 1 1 1
8: 2 2 1 1 1
9: 1 1 X 1 1
10: X 1 X 1 1
11: 2 1 X 1 1
12: 1 X X 1 1
13: X X X 1 1
14: 2 X X 1 1
15: 1 2 X 1 1
16: X 2 X 1 1
17: 2 2 X 1 1
18: 1 1 2 1 1
19: X 1 2 1 1
20: 2 1 2 1 1
21: 1 X 2 1 1
22: X X 2 1 1
23: 2 X 2 1 1
24: 1 2 2 1 1
25: X 2 2 1 1
26: 2 2 2 1 1
27: 1 1 1 X 1
28: X 1 1 X 1
29: 2 1 1 X 1
30: 1 X 1 X 1
31: X X 1 X 1
32: 2 X 1 X 1
33: 1 2 1 X 1
34: X 2 1 X 1
35: 2 2 1 X 1
36: 1 1 X X 1
37: X 1 X X 1
38: 2 1 X X 1
39: 1 X X X 1
40: X X X X 1
41: 2 X X X 1
42: 1 2 X X 1
43: X 2 X X 1
44: 2 2 X X 1
45: 1 1 2 X 1
46: X 1 2 X 1
47: 2 1 2 X 1
48: 1 X 2 X 1
49: X X 2 X 1
50: 2 X 2 X 1
51: 1 2 2 X 1
52: X 2 2 X 1
53: 2 2 2 X 1
54: 1 1 1 2 1
55: X 1 1 2 1
56: 2 1 1 2 1
57: 1 X 1 2 1
58: X X 1 2 1
59: 2 X 1 2 1
60: 1 2 1 2 1
61: X 2 1 2 1
62: 2 2 1 2 1
63: 1 1 X 2 1
64: X 1 X 2 1
65: 2 1 X 2 1
66: 1 X X 2 1
67: X X X 2 1
68: 2 X X 2 1
69: 1 2 X 2 1
70: X 2 X 2 1
71: 2 2 X 2 1
72: 1 1 2 2 1
73: X 1 2 2 1
74: 2 1 2 2 1
75: 1 X 2 2 1
76: X X 2 2 1
77: 2 X 2 2 1
78: 1 2 2 2 1
79: X 2 2 2 1
80: 2 2 2 2 1
81: 1 1 1 1 X
82: X 1 1 1 X
83: 2 1 1 1 X
84: 1 X 1 1 X
85: X X 1 1 X
86: 2 X 1 1 X
87: 1 2 1 1 X
88: X 2 1 1 X
89: 2 2 1 1 X
90: 1 1 X 1 X
91: X 1 X 1 X
92: 2 1 X 1 X
93: 1 X X 1 X
94: X X X 1 X
95: 2 X X 1 X
96: 1 2 X 1 X
97: X 2 X 1 X
98: 2 2 X 1 X
99: 1 1 2 1 X
100: X 1 2 1 X
101: 2 1 2 1 X
102: 1 X 2 1 X
103: X X 2 1 X
104: 2 X 2 1 X
105: 1 2 2 1 X
106: X 2 2 1 X
107: 2 2 2 1 X
108: 1 1 1 X X
109: X 1 1 X X
110: 2 1 1 X X
111: 1 X 1 X X
112: X X 1 X X
113: 2 X 1 X X
114: 1 2 1 X X
115: X 2 1 X X
116: 2 2 1 X X
117: 1 1 X X X
118: X 1 X X X
119: 2 1 X X X
120: 1 X X X X
121: X X X X X
122: 2 X X X X
123: 1 2 X X X
124: X 2 X X X
125: 2 2 X X X
126: 1 1 2 X X
127: X 1 2 X X
128: 2 1 2 X X
129: 1 X 2 X X
130: X X 2 X X
131: 2 X 2 X X
132: 1 2 2 X X
133: X 2 2 X X
134: 2 2 2 X X
135: 1 1 1 2 X
136: X 1 1 2 X
137: 2 1 1 2 X
138: 1 X 1 2 X
139: X X 1 2 X
140: 2 X 1 2 X
141: 1 2 1 2 X
142: X 2 1 2 X
143: 2 2 1 2 X
144: 1 1 X 2 X
145: X 1 X 2 X
146: 2 1 X 2 X
147: 1 X X 2 X
148: X X X 2 X
149: 2 X X 2 X
150: 1 2 X 2 X
151: X 2 X 2 X
152: 2 2 X 2 X
153: 1 1 2 2 X
154: X 1 2 2 X
155: 2 1 2 2 X
156: 1 X 2 2 X
157: X X 2 2 X
158: 2 X 2 2 X
159: 1 2 2 2 X
160: X 2 2 2 X
161: 2 2 2 2 X
162: 1 1 1 1 2
163: X 1 1 1 2
164: 2 1 1 1 2
165: 1 X 1 1 2
166: X X 1 1 2
167: 2 X 1 1 2
168: 1 2 1 1 2
169: X 2 1 1 2
170: 2 2 1 1 2
171: 1 1 X 1 2
172: X 1 X 1 2
173: 2 1 X 1 2
174: 1 X X 1 2
175: X X X 1 2
176: 2 X X 1 2
177: 1 2 X 1 2
178: X 2 X 1 2
179: 2 2 X 1 2
180: 1 1 2 1 2
181: X 1 2 1 2
182: 2 1 2 1 2
183: 1 X 2 1 2
184: X X 2 1 2
185: 2 X 2 1 2
186: 1 2 2 1 2
187: X 2 2 1 2
188: 2 2 2 1 2
189: 1 1 1 X 2
190: X 1 1 X 2
191: 2 1 1 X 2
192: 1 X 1 X 2
193: X X 1 X 2
194: 2 X 1 X 2
195: 1 2 1 X 2
196: X 2 1 X 2
197: 2 2 1 X 2
198: 1 1 X X 2
199: X 1 X X 2
200: 2 1 X X 2
201: 1 X X X 2
202: X X X X 2
203: 2 X X X 2
204: 1 2 X X 2
205: X 2 X X 2
206: 2 2 X X 2
207: 1 1 2 X 2
208: X 1 2 X 2
209: 2 1 2 X 2
210: 1 X 2 X 2
211: X X 2 X 2
212: 2 X 2 X 2
213: 1 2 2 X 2
214: X 2 2 X 2
215: 2 2 2 X 2
216: 1 1 1 2 2
217: X 1 1 2 2
218: 2 1 1 2 2
219: 1 X 1 2 2
220: X X 1 2 2
221: 2 X 1 2 2
222: 1 2 1 2 2
223: X 2 1 2 2
224: 2 2 1 2 2
225: 1 1 X 2 2
226: X 1 X 2 2
227: 2 1 X 2 2
228: 1 X X 2 2
229: X X X 2 2
230: 2 X X 2 2
231: 1 2 X 2 2
232: X 2 X 2 2
233: 2 2 X 2 2
234: 1 1 2 2 2
235: X 1 2 2 2
236: 2 1 2 2 2
237: 1 X 2 2 2
238: X X 2 2 2
239: 2 X 2 2 2
240: 1 2 2 2 2
241: X 2 2 2 2
242: 2 2 2 2 2