100, 0 0 0 0 0 0;
100, 0 0 0 0 0 0;
100, 0 0 0 0 0 0;
100, 0 0 0 0 1 0;
100, 0 0 0 1 1 0;
100, 0 0 0 1 1 0;
100, 0 0 0 1 1 0;
100, 0 0 0 1 1 0;
100, 0 0 0 1 1 1;

101, 0 0 1 0 0 0;
101, 0 0 1 0 0 0;
101, 0 0 1 0 0 0;
101, 0 0 1 1 1 0;
101, 0 0 1 1 1 0;
101, 0 0 1 1 1 0;
101, 0 0 1 1 1 0;
101, 0 0 1 1 1 0;
101, 0 0 1 1 1 1;

102, 0 0 2 0 0 0;
102, 0 0 2 0 0 1;
102, 0 0 2 0 0 1;
102, 0 0 2 1 1 0;
102, 0 0 2 1 1 0;
102, 0 0 2 1 1 0;
102, 0 0 2 1 1 1;
102, 0 0 2 1 1 1;
102, 0 0 2 1 1 1;

103, 0 0 3 0 0 0;
103, 0 0 3 0 0 0;
103, 0 0 3 0 0 0;
103, 0 0 3 0 0 0;
103, 0 0 3 0 0 1;
103, 0 0 3 1 1 1;
103, 0 0 3 1 1 1;
103, 0 0 3 1 1 1;
103, 0 0 3 1 1 1;

104, 0 1 0 0 0 0;
104, 0 1 0 0 0 0;
104, 0 1 0 0 0 0;
104, 0 1 0 0 0 1;
104, 0 1 0 0 0 1;
104, 0 1 0 1 1 0;
104, 0 1 0 1 1 0;
104, 0 1 0 1 1 0;
104, 0 1 0 1 1 1;

105, 0 1 1 0 0 0;
105, 0 1 1 0 0 1;
105, 0 1 1 0 0 1;
105, 0 1 1 1 1 0;
105, 0 1 1 1 1 0;
105, 0 1 1 1 1 1;
105, 0 1 1 1 1 1;
105, 0 1 1 1 1 1;
105, 0 1 1 1 1 1;

106, 0 1 2 0 0 0;
106, 0 1 2 0 0 0;
106, 0 1 2 0 0 1;
106, 0 1 2 0 0 1;
106, 0 1 2 0 0 1;
106, 0 1 2 1 1 0;
106, 0 1 2 1 1 0;
106, 0 1 2 1 1 0;
106, 0 1 2 1 1 1;

107, 0 1 3 0 0 0;
107, 0 1 3 0 0 0;
107, 0 1 3 0 0 0;
107, 0 1 3 0 0 0;
107, 0 1 3 0 0 1;
107, 0 1 3 0 0 1;
107, 0 1 3 1 1 0;
107, 0 1 3 1 1 1;

108, 0 2 0 0 0 0;
108, 0 2 0 0 0 0;
108, 0 2 0 0 0 0;
108, 0 2 0 0 0 1;
108, 0 2 0 0 0 1;
108, 0 2 0 1 1 0;
108, 0 2 0 1 1 0;
108, 0 2 0 1 1 0;
108, 0 2 0 1 1 0;

109, 0 2 1 0 0 0;
109, 0 2 1 0 0 0;
109, 0 2 1 0 0 0;
109, 0 2 1 0 0 0;
109, 0 2 1 0 0 1;
109, 0 2 1 1 1 0;
109, 0 2 1 1 1 0;
109, 0 2 1 1 1 1;
109, 0 2 1 1 1 1;

110, 0 2 2 0 0 0;
110, 0 2 2 0 0 0;
110, 0 2 2 0 0 0;
110, 0 2 2 0 0 1;
110, 0 2 2 0 0 1;
110, 0 2 2 0 0 1;
110, 0 2 2 0 0 1;
110, 0 2 2 1 1 1;
110, 0 2 2 1 1 1;

111, 0 2 3 0 0 0;
111, 0 2 3 0 0 1;
111, 0 2 3 0 0 1;
111, 0 2 3 1 1 0;
111, 0 2 3 1 1 1;
111, 0 2 3 1 1 1;
111, 0 2 3 1 1 1;
111, 0 2 3 1 1 1;
111, 0 2 3 1 1 1;

112, 0 3 0 0 0 0;
112, 0 3 0 0 0 0;
112, 0 3 0 0 0 0;
112, 0 3 0 0 0 0;
112, 0 3 0 0 0 0;
112, 0 3 0 0 0 1;
112, 0 3 0 1 1 0;
112, 0 3 0 1 1 1;
112, 0 3 0 1 1 1;

113, 0 3 1 0 0 0;
113, 0 3 1 0 0 0;
113, 0 3 1 0 0 0;
113, 0 3 1 0 0 1;
113, 0 3 1 0 0 1;
113, 0 3 1 0 0 1;
113, 0 3 1 0 0 1;
113, 0 3 1 1 1 0;
113, 0 3 1 1 1 1;

114, 0 3 2 0 0 0;
114, 0 3 2 0 0 0;
114, 0 3 2 0 0 0;
114, 0 3 2 0 0 1;
114, 0 3 2 0 0 1;
114, 0 3 2 1 1 0;
114, 0 3 2 1 1 1;
114, 0 3 2 1 1 1;
114, 0 3 2 1 1 1;

115, 0 3 3 0 0 0;
115, 0 3 3 0 0 1;
115, 0 3 3 0 0 1;
115, 0 3 3 0 0 1;
115, 0 3 3 0 0 1;
115, 0 3 3 1 1 0;
115, 0 3 3 1 1 0;
115, 0 3 3 1 1 1;
115, 0 3 3 1 1 1;

116, 0 4 0 0 0 0;
116, 0 4 0 0 0 0;
116, 0 4 0 0 0 1;
116, 0 4 0 1 1 0;
116, 0 4 0 1 1 0;
116, 0 4 0 1 1 0;
116, 0 4 0 1 1 0;
116, 0 4 0 1 1 1;
116, 0 4 0 1 1 1;

117, 0 4 1 0 0 0;
117, 0 4 1 0 0 1;
117, 0 4 1 1 1 0;
117, 0 4 1 1 1 0;
117, 0 4 1 1 1 0;
117, 0 4 1 1 1 1;
117, 0 4 1 1 1 1;
117, 0 4 1 1 1 1;
117, 0 4 1 1 1 1;

118, 0 4 2 0 0 0;
118, 0 4 2 0 0 1;
118, 0 4 2 0 0 1;
118, 0 4 2 0 0 1;
118, 0 4 2 1 1 0;
118, 0 4 2 1 1 1;
118, 0 4 2 1 1 1;
118, 0 4 2 1 1 1;
118, 0 4 2 1 1 1;

119, 0 4 3 0 0 0;
119, 0 4 3 0 0 0;
119, 0 4 3 0 0 0;
119, 0 4 3 0 0 1;
119, 0 4 3 0 0 1;
119, 0 4 3 0 0 1;
119, 0 4 3 1 1 0;
119, 0 4 3 1 1 1;
119, 0 4 3 1 1 1;

120, 1 0 0 0 0 0;
120, 1 0 0 0 0 0;
120, 1 0 0 0 0 1;
120, 1 0 0 1 1 0;
120, 1 0 0 1 1 0;
120, 1 0 0 1 1 0;
120, 1 0 0 1 1 1;
120, 1 0 0 1 1 1;
120, 1 0 0 1 1 1;

121, 1 0 1 0 0 0;
121, 1 0 1 0 0 1;
121, 1 0 1 0 0 1;
121, 1 0 1 1 1 0;
121, 1 0 1 1 1 0;
121, 1 0 1 1 1 0;
121, 1 0 1 1 1 0;
121, 1 0 1 1 1 0;
121, 1 0 1 1 1 1;

122, 1 0 2 0 0 0;
122, 1 0 2 0 0 1;
122, 1 0 2 0 0 1;
122, 1 0 2 0 0 1;
122, 1 0 2 0 0 1;
122, 1 0 2 1 1 1;
122, 1 0 2 1 1 1;
122, 1 0 2 1 1 1;
122, 1 0 2 1 1 1;

123, 1 0 3 0 0 0;
123, 1 0 3 0 0 1;
123, 1 0 3 0 0 1;
123, 1 0 3 1 1 0;
123, 1 0 3 1 1 1;
123, 1 0 3 1 1 1;
123, 1 0 3 1 1 1;
123, 1 0 3 1 1 1;
123, 1 0 3 1 1 1;

124, 1 1 0 0 0 0;
124, 1 1 0 0 0 0;
124, 1 1 0 0 0 0;
124, 1 1 0 0 0 1;
124, 1 1 0 0 0 1;
124, 1 1 0 1 1 0;
124, 1 1 0 1 1 0;
124, 1 1 0 1 1 1;
124, 1 1 0 1 1 1;

125, 1 1 1 0 0 0;
125, 1 1 1 0 0 1;
125, 1 1 1 0 0 1;
125, 1 1 1 0 0 1;
125, 1 1 1 1 0 1;
125, 1 1 1 1 1 0;
125, 1 1 1 1 1 0;
125, 1 1 1 1 1 1;

126, 1 1 2 0 0 0;
126, 1 1 2 0 0 0;
126, 1 1 2 0 0 1;
126, 1 1 2 0 0 1;
126, 1 1 2 0 0 1;
126, 1 1 2 1 1 0;
126, 1 1 2 1 1 0;
126, 1 1 2 1 1 1;
126, 1 1 2 1 1 1;

127, 1 1 3 0 0 0;
127, 1 1 3 0 0 0;
127, 1 1 3 0 0 0;
127, 1 1 3 0 0 1;
127, 1 1 3 0 0 1;
127, 1 1 3 0 0 1;
127, 1 1 3 1 1 1;
127, 1 1 3 1 1 1;
127, 1 1 3 1 1 1;

128, 1 2 0 0 0 0;
128, 1 2 0 0 0 1;
128, 1 2 0 1 1 0;
128, 1 2 0 1 1 0;
128, 1 2 0 1 1 0;
128, 1 2 0 1 1 0;
128, 1 2 0 1 1 0;
128, 1 2 0 1 1 0;

129, 1 2 1 0 0 0;
129, 1 2 1 0 0 0;
129, 1 2 1 0 0 1;
129, 1 2 1 0 0 1;
129, 1 2 1 1 0 1;
129, 1 2 1 1 1 0;
129, 1 2 1 1 1 0;
129, 1 2 1 1 1 0;

130, 1 2 2 0 0 0;
130, 1 2 2 0 0 0;
130, 1 2 2 0 0 1;
130, 1 2 2 0 0 1;
130, 1 2 2 0 0 1;
130, 1 2 2 0 0 1;
130, 1 2 2 1 1 0;
130, 1 2 2 1 1 0;
130, 1 2 2 1 1 1;

131, 1 2 3 0 0 0;
131, 1 2 3 0 0 0;
131, 1 2 3 0 0 1;
131, 1 2 3 0 0 1;
131, 1 2 3 0 0 1;
131, 1 2 3 0 0 1;
131, 1 2 3 0 0 1;
131, 1 2 3 1 1 1;
131, 1 2 3 1 1 1;

132, 1 3 0 0 0 0;
132, 1 3 0 0 0 0;
132, 1 3 0 0 0 0;
132, 1 3 0 1 1 0;
132, 1 3 0 1 1 0;
132, 1 3 0 1 1 0;
132, 1 3 0 1 1 0;
132, 1 3 0 1 1 0;
132, 1 3 0 1 1 1;

133, 1 3 1 0 0 0;
133, 1 3 1 0 0 0;
133, 1 3 1 0 0 1;
133, 1 3 1 0 0 1;
133, 1 3 1 0 0 1;
133, 1 3 1 1 1 0;
133, 1 3 1 1 1 0;
133, 1 3 1 1 1 1;
133, 1 3 1 1 1 1;

134, 1 3 2 0 0 0;
134, 1 3 2 0 0 0;
134, 1 3 2 0 0 1;
134, 1 3 2 0 0 1;
134, 1 3 2 1 1 0;
134, 1 3 2 1 1 0;
134, 1 3 2 1 1 1;
134, 1 3 2 1 1 1;
134, 1 3 2 1 1 1;

135, 1 3 3 0 0 0;
135, 1 3 3 0 0 1;
135, 1 3 3 0 0 1;
135, 1 3 3 0 0 1;
135, 1 3 3 1 1 0;
135, 1 3 3 1 1 1;
135, 1 3 3 1 1 1;
135, 1 3 3 1 1 1;
135, 1 3 3 1 1 1;

136, 1 4 0 0 0 0;
136, 1 4 0 0 0 0;
136, 1 4 0 0 0 0;
136, 1 4 0 0 0 0;
136, 1 4 0 0 0 0;
136, 1 4 0 0 0 0;
136, 1 4 0 0 0 1;
136, 1 4 0 0 0 1;
136, 1 4 0 0 1 0;

137, 1 4 1 0 0 0;
137, 1 4 1 0 0 0;
137, 1 4 1 0 0 0;
137, 1 4 1 0 0 1;
137, 1 4 1 0 0 1;
137, 1 4 1 0 0 1;
137, 1 4 1 1 1 0;
137, 1 4 1 1 1 1;
137, 1 4 1 1 1 1;

138, 1 4 2 0 0 0;
138, 1 4 2 0 0 0;
138, 1 4 2 0 0 1;
138, 1 4 2 0 0 1;
138, 1 4 2 0 0 1;
138, 1 4 2 1 1 0;
138, 1 4 2 1 1 1;
138, 1 4 2 1 1 1;
138, 1 4 2 1 1 1;

139, 1 4 3 0 0 0;
139, 1 4 3 0 0 1;
139, 1 4 3 0 0 1;
139, 1 4 3 1 1 0;
139, 1 4 3 1 1 0;
139, 1 4 3 1 1 1;
139, 1 4 3 1 1 1;
139, 1 4 3 1 1 1;
139, 1 4 3 1 1 1;

140, 2 0 0 0 0 0;
140, 2 0 0 0 0 0;
140, 2 0 0 0 0 0;
140, 2 0 0 0 0 1;
140, 2 0 0 0 0 1;
140, 2 0 0 1 1 0;
140, 2 0 0 1 1 0;
140, 2 0 0 1 1 1;
140, 2 0 0 1 1 1;

141, 2 0 1 0 0 0;
141, 2 0 1 0 0 0;
141, 2 0 1 0 0 0;
141, 2 0 1 0 0 0;
141, 2 0 1 0 0 0;
141, 2 0 1 0 0 0;
141, 2 0 1 1 1 0;
141, 2 0 1 1 1 1;
141, 2 0 1 1 1 1;

142, 2 0 2 0 0 0;
142, 2 0 2 0 0 0;
142, 2 0 2 0 0 0;
142, 2 0 2 0 0 1;
142, 2 0 2 1 1 0;
142, 2 0 2 1 1 1;
142, 2 0 2 1 1 1;

143, 2 0 3 0 0 1;
143, 2 0 3 0 0 1;
143, 2 0 3 0 0 1;
143, 2 0 3 1 1 1;
143, 2 0 3 1 1 1;
143, 2 0 3 1 1 1;
143, 2 0 3 1 1 1;
143, 2 0 3 1 1 1;

144, 2 1 0 0 0 0;
144, 2 1 0 0 0 0;
144, 2 1 0 0 0 0;
144, 2 1 0 0 0 0;
144, 2 1 0 0 0 0;
144, 2 1 0 0 0 1;
144, 2 1 0 1 1 0;
144, 2 1 0 1 1 0;
144, 2 1 0 1 1 1;

145, 2 1 1 0 0 0;
145, 2 1 1 0 0 0;
145, 2 1 1 0 0 0;
145, 2 1 1 0 0 1;
145, 2 1 1 0 0 1;
145, 2 1 1 1 1 0;
145, 2 1 1 1 1 0;
145, 2 1 1 1 1 1;

146, 2 1 2 0 0 0;
146, 2 1 2 0 0 0;
146, 2 1 2 0 0 0;
146, 2 1 2 0 0 1;
146, 2 1 2 0 0 1;
146, 2 1 2 0 0 1;
146, 2 1 2 0 0 1;
146, 2 1 2 1 1 1;
146, 2 1 2 1 1 1;

147, 2 1 3 0 0 0;
147, 2 1 3 0 0 1;
147, 2 1 3 0 0 1;
147, 2 1 3 0 0 1;
147, 2 1 3 0 0 1;
147, 2 1 3 0 0 1;
147, 2 1 3 0 0 1;
147, 2 1 3 1 1 0;
147, 2 1 3 1 1 1;

148, 2 2 0 0 0 0;
148, 2 2 0 0 0 0;
148, 2 2 0 0 0 0;
148, 2 2 0 0 0 0;
148, 2 2 0 1 0 0;
148, 2 2 0 1 1 0;
148, 2 2 0 1 1 0;
148, 2 2 0 1 1 1;

149, 2 2 1 0 0 0;
149, 2 2 1 0 0 0;
149, 2 2 1 0 0 1;
149, 2 2 1 0 0 1;
149, 2 2 1 1 1 0;
149, 2 2 1 1 1 0;
149, 2 2 1 1 1 0;
149, 2 2 1 1 1 1;
149, 2 2 1 1 1 1;

150, 2 2 2 0 0 0;
150, 2 2 2 0 0 1;
150, 2 2 2 0 0 1;
150, 2 2 2 0 0 1;
150, 2 2 2 1 0 1;
150, 2 2 2 1 1 0;
150, 2 2 2 1 1 1;
150, 2 2 2 1 1 1;

150, 2 2 2 1 1 1;
151, 2 2 3 0 0 1;
151, 2 2 3 0 0 1;
151, 2 2 3 0 0 1;
151, 2 2 3 0 0 1;
151, 2 2 3 0 0 1;
151, 2 2 3 0 0 1;
151, 2 2 3 1 1 0;
151, 2 2 3 1 1 1;
151, 2 2 3 1 1 1;

152, 2 3 0 0 0 0;
152, 2 3 0 0 0 1;
152, 2 3 0 0 0 1;
152, 2 3 0 0 0 1;
152, 2 3 0 1 1 0;
152, 2 3 0 1 1 0;
152, 2 3 0 1 1 0;
152, 2 3 0 1 1 0;
152, 2 3 0 1 1 1;

153, 2 3 1 0 0 0;
153, 2 3 1 0 0 0;
153, 2 3 1 0 0 0;
153, 2 3 1 0 0 0;
153, 2 3 1 0 0 1;
153, 2 3 1 0 0 1;
153, 2 3 1 1 1 0;
153, 2 3 1 1 1 1;
153, 2 3 1 1 1 1;

154, 2 3 2 0 0 0;
154, 2 3 2 0 0 1;
154, 2 3 2 0 0 1;
154, 2 3 2 0 0 1;
154, 2 3 2 1 1 1;
154, 2 3 2 1 1 1;
154, 2 3 2 1 1 1;
154, 2 3 2 1 1 1;
154, 2 3 2 1 1 1;

155, 2 3 3 0 0 1;
155, 2 3 3 0 0 1;
155, 2 3 3 0 1 1;
155, 2 3 3 1 1 0;
155, 2 3 3 1 1 0;
155, 2 3 3 1 1 0;
155, 2 3 3 1 1 0;
155, 2 3 3 1 1 1;
155, 2 3 3 1 1 1;

156, 2 4 0 0 0 0;
156, 2 4 0 0 0 0;
156, 2 4 0 0 0 0;
156, 2 4 0 0 0 0;
156, 2 4 0 1 1 0;
156, 2 4 0 1 1 0;
156, 2 4 0 1 1 0;
156, 2 4 0 1 1 0;
156, 2 4 0 1 1 0;

157, 2 4 1 0 0 0;
157, 2 4 1 0 0 0;
157, 2 4 1 0 0 0;
157, 2 4 1 0 0 0;
157, 2 4 1 0 0 1;
157, 2 4 1 1 1 0;
157, 2 4 1 1 1 1;
157, 2 4 1 1 1 1;
157, 2 4 1 1 1 1;

158, 2 4 2 0 0 0;
158, 2 4 2 0 0 0;
158, 2 4 2 0 0 1;
158, 2 4 2 0 0 1;
158, 2 4 2 0 0 1;
158, 2 4 2 0 0 1;
158, 2 4 2 1 1 0;
158, 2 4 2 1 1 0;
158, 2 4 2 1 1 1;