"volcano" <-
structure(c(100, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110,
110, 111, 114, 116, 118, 120, 120, 121, 122, 122, 123, 124, 123, 123, 120,
118, 117, 115, 114, 115, 113, 111, 110, 109, 108, 108, 107, 107, 107, 108,
109, 110, 111, 111, 112, 113, 113, 114, 115, 115, 114, 113, 112, 111, 111,
112, 112, 112, 113, 114, 114, 115, 115, 116, 116, 117, 117, 116, 114, 112,
109, 106, 104, 102, 101, 100, 100, 99, 99, 99, 99, 98, 98, 97, 97, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 110, 111, 113, 115, 118,
120, 121, 122, 124, 125, 125, 126, 127, 128, 127, 124, 121, 120, 118, 116,
114, 113, 112, 112, 110, 109, 109, 108, 108, 108, 109, 110, 111, 112, 112,
113, 114, 114, 115, 116, 116, 115, 114, 113, 112, 112, 113, 113, 114, 114,
115, 115, 116, 116, 117, 117, 118, 118, 117, 115, 113, 111, 107, 105, 103,
102, 101, 101, 100, 100, 100, 99, 99, 98, 98, 97, 101, 102, 103, 104, 105,
105, 106, 107, 108, 109, 110, 111, 113, 115, 117, 118, 120, 122, 125, 126,
127, 128, 129, 130, 131, 131, 128, 125, 121, 120, 118, 116, 114, 113, 113,
111, 111, 111, 111, 110, 109, 110, 111, 112, 113, 113, 114, 115, 115, 116,
117, 117, 116, 115, 114, 114, 113, 113, 114, 114, 115, 115, 116, 116, 117,
118, 118, 119, 119, 118, 116, 114, 112, 108, 105, 103, 103, 102, 101, 101,
100, 100, 99, 99, 98, 98, 97, 101, 102, 103, 104, 105, 106, 107, 108, 109,
110, 111, 113, 115, 117, 117, 118, 121, 123, 126, 128, 130, 130, 131, 132,
133, 134, 131, 129, 125, 122, 120, 118, 116, 114, 113, 112, 112, 113, 112,
112, 111, 112, 113, 113, 114, 115, 116, 116, 117, 117, 118, 118, 116, 116,
115, 115, 115, 114, 114, 115, 116, 116, 117, 117, 118, 118, 119, 119, 120,
120, 117, 115, 112, 108, 106, 104, 103, 102, 102, 102, 101, 100, 99, 99,
99, 98, 98, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
114, 116, 117, 120, 122, 124, 126, 129, 130, 132, 133, 135, 136, 136, 134,
132, 129, 126, 122, 120, 118, 116, 114, 114, 114, 114, 114, 113, 113, 114,
115, 116, 116, 117, 117, 117, 118, 118, 119, 119, 118, 117, 116, 116, 115,
115, 116, 116, 116, 117, 117, 118, 118, 119, 120, 120, 120, 120, 119, 116,
113, 109, 106, 104, 104, 103, 102, 102, 101, 101, 100, 99, 99, 99, 98,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 111, 113, 115, 118,
121, 123, 125, 127, 129, 131, 133, 135, 137, 138, 138, 137, 134, 132, 130,
127, 122, 120, 118, 116, 116, 116, 116, 115, 113, 114, 115, 116, 117, 117,
118, 118, 119, 119, 119, 120, 120, 119, 118, 117, 117, 116, 116, 117, 117,
117, 118, 119, 119, 119, 120, 121, 121, 121, 121, 119, 116, 113, 110, 107,
105, 105, 103, 103, 103, 102, 101, 100, 100, 99, 99, 99, 101, 102, 103,
104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 116, 119, 121, 124, 126,
128, 130, 133, 135, 137, 138, 140, 140, 139, 137, 135, 133, 131, 127, 122,
120, 118, 118, 117, 117, 116, 115, 116, 116, 117, 118, 118, 118, 119, 119,
120, 120, 121, 121, 120, 119, 119, 118, 117, 117, 118, 119, 118, 118, 118,
119, 120, 122, 123, 123, 123, 122, 120, 117, 113, 110, 108, 106, 105, 104,
103, 103, 102, 101, 101, 100, 100, 99, 99, 100, 101, 102, 103, 104, 105,
106, 107, 108, 109, 110, 112, 114, 117, 119, 122, 124, 127, 129, 131, 134,
136, 138, 140, 142, 142, 142, 140, 138, 136, 133, 129, 125, 122, 120, 119,
118, 118, 117, 116, 117, 117, 118, 119, 119, 120, 120, 120, 121, 121, 121,
122, 121, 120, 120, 120, 119, 119, 120, 120, 120, 120, 120, 120, 123, 123,
124, 124, 124, 123, 121, 119, 114, 112, 108, 106, 106, 104, 104, 103, 102,
102, 101, 101, 100, 100, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
109, 110, 112, 115, 117, 120, 122, 125, 127, 130, 132, 135, 137, 139, 142,
144, 144, 144, 142, 140, 138, 136, 132, 129, 126, 123, 120, 120, 119, 119,
118, 119, 119, 120, 120, 120, 121, 122, 122, 123, 123, 123, 123, 122, 123,
122, 122, 121, 122, 122, 122, 123, 123, 123, 124, 125, 125, 126, 126, 125,
124, 122, 120, 116, 113, 109, 107, 106, 105, 104, 104, 103, 102, 102, 101,
101, 100, 100, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 110, 114,
117, 119, 121, 123, 126, 128, 130, 133, 136, 139, 141, 144, 146, 147, 146,
145, 143, 141, 138, 136, 133, 130, 127, 124, 121, 120, 120, 120, 120, 120,
121, 122, 123, 124, 124, 125, 125, 126, 126, 125, 126, 126, 126, 125, 126,
127, 128, 128, 129, 129, 128, 128, 128, 128, 128, 128, 126, 125, 123, 122,
119, 114, 109, 108, 107, 106, 105, 104, 103, 103, 102, 102, 101, 100, 100,
101, 102, 103, 103, 104, 104, 105, 106, 108, 110, 112, 116, 119, 121, 124,
125, 127, 130, 132, 135, 137, 140, 143, 147, 149, 149, 149, 147, 145, 143,
141, 139, 136, 133, 131, 128, 125, 122, 121, 122, 122, 122, 123, 125, 125,
126, 127, 127, 127, 128, 128, 128, 129, 129, 130, 131, 131, 132, 132, 133,
133, 133, 132, 132, 131, 131, 130, 129, 128, 126, 125, 124, 121, 117, 111,
109, 108, 106, 105, 104, 103, 102, 101, 101, 100, 100, 100, 101, 102, 103,
104, 104, 105, 106, 107, 108, 110, 114, 119, 121, 124, 126, 128, 129, 132,
134, 137, 140, 143, 147, 149, 151, 151, 151, 149, 147, 145, 143, 141, 138,
136, 134, 131, 128, 126, 124, 125, 125, 126, 126, 127, 128, 128, 129, 129,
130, 130, 131, 131, 132, 132, 133, 134, 135, 135, 136, 136, 137, 137, 136,
136, 135, 134, 133, 131, 129, 128, 127, 126, 123, 119, 115, 111, 109, 107,
105, 104, 103, 102, 101, 100, 100, 100, 99, 102, 103, 104, 104, 105, 105,
106, 108, 110, 113, 118, 121, 124, 126, 128, 130, 132, 134, 136, 139, 143,
147, 150, 154, 154, 154, 153, 151, 149, 148, 146, 143, 141, 139, 137, 136,
132, 130, 128, 128, 128, 129, 129, 130, 130, 131, 132, 132, 132, 133, 134,
134, 135, 135, 136, 137, 138, 139, 139, 140, 140, 140, 139, 139, 138, 137,
137, 135, 132, 130, 129, 127, 124, 120, 116, 112, 109, 106, 105, 103, 102,
101, 101, 100, 99, 99, 99, 102, 103, 104, 104, 105, 106, 107, 108, 111,
116, 121, 124, 126, 128, 131, 134, 135, 137, 139, 143, 147, 152, 156, 157,
157, 157, 156, 155, 153, 151, 148, 146, 143, 142, 141, 140, 138, 135, 133,
132, 132, 133, 133, 133, 134, 135, 135, 135, 135, 136, 136, 137, 137, 138,
138, 139, 140, 141, 141, 142, 142, 143, 142, 142, 141, 141, 140, 139, 137,
134, 133, 129, 125, 121, 114, 110, 107, 106, 106, 104, 103, 102, 101, 100,
99, 99, 99, 102, 103, 104, 105, 105, 106, 108, 110, 113, 118, 123, 127,
129, 132, 137, 141, 142, 142, 145, 150, 154, 157, 161, 161, 160, 160, 160,
159, 157, 154, 151, 148, 146, 145, 143, 142, 142, 139, 137, 136, 137, 137,
138, 138, 139, 139, 139, 139, 139, 139, 139, 139, 140, 140, 141, 142, 142,
143, 144, 144, 144, 145, 145, 145, 145, 145, 144, 142, 140, 139, 136, 129,
124, 119, 113, 109, 106, 106, 105, 104, 103, 102, 101, 101, 100, 99, 99,
102, 103, 104, 105, 106, 107, 109, 113, 116, 120, 125, 129, 133, 137, 143,
147, 149, 151, 152, 154, 158, 161, 164, 165, 164, 164, 163, 163, 160, 157,
154, 151, 149, 147, 145, 145, 144, 143, 141, 140, 141, 141, 141, 141, 141,
142, 142, 142, 142, 142, 142, 142, 143, 143, 143, 144, 144, 145, 146, 146,
146, 147, 148, 148, 148, 148, 145, 143, 142, 140, 134, 128, 123, 117, 112,
108, 106, 105, 105, 104, 104, 103, 102, 101, 100, 100, 99, 103, 104, 105,
106, 107, 109, 111, 115, 118, 122, 127, 133, 140, 143, 150, 152, 153, 155,
157, 159, 162, 164, 167, 168, 168, 168, 167, 166, 163, 160, 157, 153, 150,
148, 148, 147, 147, 147, 145, 145, 144, 143, 143, 143, 144, 144, 144, 144,
145, 145, 145, 145, 146, 146, 146, 146, 146, 147, 147, 148, 149, 150, 150,
150, 150, 149, 147, 145, 143, 141, 134, 127, 123, 117, 111, 108, 105, 105,
104, 104, 103, 103, 102, 101, 100, 100, 100, 104, 105, 106, 107, 108, 110,
113, 117, 120, 125, 129, 138, 145, 151, 156, 156, 157, 158, 160, 164, 166,
168, 170, 171, 172, 171, 171, 169, 166, 163, 160, 156, 153, 151, 150, 150,
149, 149, 149, 148, 146, 146, 146, 146, 146, 146, 146, 147, 148, 148, 149,
149, 149, 148, 148, 148, 148, 149, 149, 150, 150, 150, 150, 150, 150, 150,
148, 146, 143, 141, 136, 129, 123, 117, 110, 108, 105, 104, 103, 102, 102,
101, 101, 100, 100, 100, 100, 103, 104, 105, 106, 108, 110, 114, 118, 123,
127, 133, 143, 150, 156, 160, 160, 161, 162, 167, 170, 171, 172, 173, 175,
175, 174, 174, 173, 171, 168, 164, 160, 156, 155, 154, 153, 153, 152, 152,
150, 149, 148, 148, 148, 148, 148, 149, 149, 150, 152, 152, 152, 152, 151,
150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 149, 147, 144,
141, 138, 132, 125, 118, 111, 108, 105, 103, 102, 101, 101, 101, 100, 100,
100, 100, 100, 102, 103, 104, 106, 108, 112, 116, 120, 125, 129, 137, 146,
154, 161, 163, 165, 166, 169, 172, 173, 174, 175, 177, 178, 178, 178, 178,
177, 174, 171, 168, 164, 160, 158, 157, 157, 156, 156, 156, 155, 152, 151,
150, 150, 151, 151, 152, 154, 156, 157, 157, 156, 155, 153, 152, 152, 151,
150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 147, 144, 141, 138, 133,
127, 120, 113, 109, 106, 103, 101, 101, 101, 100, 100, 100, 100, 100, 100,
101, 102, 104, 106, 109, 113, 118, 122, 127, 133, 141, 149, 155, 161, 165,
168, 170, 172, 175, 176, 177, 179, 181, 181, 181, 180, 180, 179, 177, 174,
171, 167, 165, 163, 161, 160, 160, 160, 160, 160, 157, 155, 155, 154, 154,
155, 157, 159, 161, 161, 161, 159, 156, 154, 154, 153, 151, 150, 150, 150,
150, 150, 150, 150, 150, 150, 149, 147, 144, 141, 137, 133, 129, 123, 116,
110, 107, 104, 102, 102, 101, 101, 101, 100, 100, 100, 100, 101, 102, 105,
107, 110, 115, 120, 124, 129, 136, 143, 149, 155, 162, 168, 170, 174, 176,
178, 179, 181, 182, 184, 184, 183, 181, 180, 180, 179, 177, 174, 172, 170,
168, 166, 165, 164, 164, 164, 164, 162, 160, 159, 159, 158, 160, 162, 164,
166, 166, 163, 159, 157, 156, 155, 153, 151, 150, 150, 150, 150, 150, 150,
150, 150, 150, 149, 146, 143, 140, 137, 133, 129, 124, 119, 112, 108, 105,
103, 103, 102, 101, 101, 101, 101, 100, 100, 102, 103, 106, 108, 112, 116,
121, 125, 130, 138, 145, 151, 157, 163, 170, 174, 178, 181, 181, 184, 186,
186, 187, 186, 184, 181, 180, 180, 180, 179, 178, 174, 173, 173, 171, 170,
170, 169, 168, 167, 166, 164, 163, 162, 161, 164, 167, 169, 170, 168, 164,
160, 158, 157, 155, 153, 151, 150, 150, 150, 150, 150, 150, 150, 150, 150,
147, 144, 141, 138, 135, 133, 128, 125, 122, 116, 109, 107, 104, 104, 103,
102, 101, 101, 101, 101, 101, 103, 105, 107, 110, 114, 118, 122, 127, 132,
140, 146, 153, 159, 165, 171, 176, 180, 183, 185, 186, 189, 190, 188, 187,
184, 182, 180, 180, 180, 179, 178, 176, 176, 176, 176, 174, 174, 173, 172,
170, 168, 167, 165, 163, 164, 165, 169, 170, 170, 170, 166, 162, 159, 157,
155, 153, 151, 150, 150, 150, 150, 150, 150, 150, 150, 150, 146, 142, 139,
136, 133, 131, 128, 125, 122, 117, 110, 108, 106, 105, 104, 103, 103, 101,
101, 101, 101, 104, 106, 108, 111, 115, 119, 123, 128, 134, 141, 148, 154,
161, 166, 172, 179, 182, 184, 186, 189, 190, 190, 190, 187, 185, 183, 180,
180, 180, 179, 179, 177, 176, 177, 178, 178, 178, 177, 176, 174, 171, 168,
166, 164, 166, 168, 170, 170, 170, 170, 168, 162, 159, 157, 155, 153, 151,
150, 150, 150, 150, 150, 150, 150, 150, 148, 144, 140, 137, 134, 132, 129,
127, 125, 122, 117, 111, 110, 107, 107, 106, 105, 104, 103, 102, 101, 100,
104, 106, 110, 114, 118, 121, 125, 129, 135, 142, 150, 157, 162, 167, 173,
180, 183, 186, 188, 190, 190, 190, 189, 184, 183, 181, 180, 179, 179, 176,
177, 176, 176, 177, 178, 179, 180, 180, 179, 177, 173, 169, 167, 166, 167,
169, 170, 170, 170, 170, 167, 161, 159, 157, 155, 153, 151, 150, 150, 150,
150, 150, 150, 149, 147, 145, 141, 138, 135, 133, 130, 127, 125, 123, 121,
118, 113, 111, 110, 110, 109, 109, 107, 106, 105, 103, 100, 105, 107, 111,
117, 121, 124, 127, 131, 137, 148, 154, 159, 164, 168, 174, 181, 184, 187,
190, 191, 191, 190, 187, 184, 180, 178, 175, 174, 172, 171, 173, 173, 173,
176, 178, 179, 180, 180, 180, 179, 175, 170, 168, 166, 168, 169, 170, 170,
170, 170, 166, 161, 158, 156, 154, 153, 151, 150, 150, 150, 150, 148, 147,
146, 145, 143, 139, 135, 133, 131, 129, 126, 124, 121, 120, 118, 114, 111,
111, 111, 110, 110, 109, 107, 106, 104, 100, 107, 109, 113, 118, 122, 126,
129, 134, 139, 150, 156, 160, 165, 170, 175, 181, 184, 188, 191, 192, 192,
189, 185, 181, 177, 173, 171, 169, 168, 167, 169, 170, 172, 174, 176, 178,
179, 180, 180, 179, 175, 170, 168, 166, 166, 168, 168, 170, 170, 168, 164,
160, 158, 155, 152, 151, 150, 149, 149, 148, 147, 145, 144, 143, 142, 141,
136, 133, 130, 129, 127, 125, 123, 120, 119, 118, 115, 112, 111, 111, 111,
110, 109, 109, 109, 105, 100, 107, 110, 114, 117, 121, 126, 130, 135, 142,
151, 159, 163, 167, 171, 177, 182, 185, 189, 192, 193, 191, 187, 183, 179,
174, 169, 167, 166, 164, 164, 165, 166, 169, 171, 174, 178, 179, 180, 180,
178, 173, 169, 166, 165, 165, 166, 165, 168, 169, 166, 163, 159, 157, 154,
152, 149, 148, 147, 146, 145, 143, 142, 141, 140, 139, 138, 133, 130, 128,
127, 125, 124, 122, 120, 118, 117, 115, 112, 111, 111, 111, 111, 110, 109,
108, 106, 100, 107, 110, 115, 119, 123, 129, 135, 141, 146, 156, 161, 165,
168, 173, 179, 182, 186, 189, 193, 194, 191, 184, 179, 175, 170, 166, 162,
161, 160, 160, 161, 162, 165, 169, 172, 176, 178, 179, 179, 176, 172, 168,
165, 163, 163, 163, 163, 165, 166, 164, 161, 158, 155, 152, 150, 147, 146,
144, 143, 142, 141, 139, 139, 138, 137, 135, 131, 128, 127, 125, 124, 122,
121, 119, 118, 116, 115, 113, 112, 111, 111, 110, 110, 109, 109, 105, 100,
108, 110, 114, 120, 128, 134, 140, 146, 152, 158, 162, 166, 169, 175, 180,
183, 186, 189, 193, 195, 190, 184, 176, 171, 167, 163, 160, 158, 157, 156,
157, 159, 163, 166, 170, 174, 176, 178, 178, 176, 172, 167, 164, 161, 161,
160, 161, 163, 163, 163, 160, 157, 153, 150, 148, 146, 144, 142, 141, 140,
139, 138, 136, 135, 134, 133, 129, 127, 126, 124, 122, 121, 119, 118, 117,
116, 114, 113, 112, 111, 110, 110, 109, 109, 107, 104, 100, 108, 110, 115,
121, 131, 137, 142, 147, 152, 159, 163, 167, 170, 177, 182, 184, 187, 189,
192, 194, 189, 183, 174, 169, 165, 161, 158, 156, 154, 153, 154, 157, 160,
164, 167, 171, 172, 174, 174, 173, 171, 168, 161, 159, 158, 158, 159, 161,
161, 160, 158, 155, 151, 149, 147, 144, 142, 141, 140, 138, 137, 136, 135,
134, 132, 130, 128, 126, 125, 123, 121, 119, 118, 117, 116, 115, 113, 112,
112, 111, 110, 109, 108, 107, 105, 101, 100, 110, 111, 116, 122, 129, 137,
142, 146, 151, 158, 164, 168, 172, 179, 183, 186, 189, 190, 192, 193, 188,
182, 174, 168, 164, 161, 157, 154, 151, 149, 151, 154, 158, 161, 167, 170,
170, 170, 170, 169, 168, 166, 160, 157, 156, 156, 157, 158, 159, 159, 156,
153, 150, 148, 146, 144, 141, 140, 140, 138, 136, 135, 134, 133, 131, 129,
127, 125, 123, 122, 120, 118, 117, 116, 115, 114, 112, 111, 110, 108, 107,
106, 105, 104, 102, 100, 100, 110, 112, 118, 124, 130, 136, 142, 146, 151,
157, 163, 168, 174, 178, 183, 187, 189, 190, 191, 192, 189, 182, 174, 168,
164, 160, 157, 153, 149, 148, 149, 153, 157, 161, 167, 170, 170, 170, 168,
166, 165, 163, 159, 156, 154, 153, 155, 155, 155, 155, 152, 150, 149, 147,
145, 143, 141, 140, 139, 138, 136, 134, 133, 131, 130, 128, 126, 124, 122,
120, 119, 117, 116, 115, 114, 113, 111, 110, 107, 106, 105, 105, 102, 101,
100, 100, 100, 110, 113, 119, 125, 131, 136, 141, 145, 150, 158, 164, 168,
172, 177, 183, 187, 189, 191, 192, 191, 190, 183, 174, 168, 164, 160, 157,
153, 150, 149, 150, 154, 158, 162, 166, 170, 170, 168, 166, 164, 162, 160,
158, 155, 152, 151, 151, 151, 151, 151, 149, 148, 147, 146, 145, 143, 142,
140, 139, 137, 135, 134, 132, 131, 129, 127, 125, 123, 121, 119, 117, 116,
114, 114, 113, 112, 110, 108, 107, 105, 103, 100, 100, 100, 100, 99, 99,
110, 114, 119, 126, 131, 135, 140, 144, 149, 158, 164, 168, 172, 176, 183,
184, 189, 190, 191, 191, 190, 183, 174, 169, 165, 161, 158, 154, 150, 151,
152, 155, 159, 164, 168, 168, 168, 167, 165, 163, 160, 158, 155, 153, 150,
148, 148, 148, 148, 148, 147, 146, 146, 145, 143, 142, 141, 140, 139, 138,
136, 134, 132, 131, 128, 126, 124, 122, 120, 118, 116, 114, 113, 113, 112,
111, 108, 107, 106, 105, 104, 102, 100, 99, 99, 99, 99, 110, 116, 121,
127, 132, 136, 140, 144, 148, 154, 160, 166, 171, 176, 180, 184, 189, 190,
191, 191, 191, 183, 176, 170, 166, 163, 159, 156, 154, 155, 155, 158, 161,
165, 170, 167, 166, 165, 163, 161, 158, 155, 152, 150, 146, 145, 145, 145,
146, 146, 144, 145, 145, 144, 142, 141, 140, 140, 140, 140, 138, 136, 134,
131, 128, 125, 123, 121, 119, 117, 115, 113, 112, 111, 111, 110, 108, 106,
105, 102, 100, 100, 99, 99, 99, 98, 98, 110, 115, 121, 127, 132, 136, 140,
144, 148, 151, 157, 162, 169, 174, 178, 181, 186, 188, 190, 191, 190, 184,
177, 172, 168, 165, 162, 159, 158, 158, 159, 161, 166, 167, 169, 166, 164,
163, 161, 159, 156, 153, 149, 146, 142, 142, 141, 142, 143, 143, 143, 143,
144, 142, 141, 140, 140, 140, 140, 140, 140, 138, 134, 131, 128, 125, 123,
120, 117, 116, 114, 112, 110, 109, 108, 107, 106, 105, 102, 101, 100, 99,
99, 99, 98, 98, 97, 110, 114, 120, 126, 131, 136, 140, 143, 146, 149, 154,
159, 166, 171, 177, 180, 182, 186, 190, 190, 190, 185, 179, 174, 171, 168,
166, 163, 164, 163, 166, 169, 170, 170, 168, 164, 162, 161, 158, 155, 153,
150, 147, 143, 139, 139, 139, 139, 140, 141, 141, 142, 142, 141, 140, 140,
140, 140, 140, 140, 140, 137, 134, 131, 128, 125, 122, 119, 116, 114, 112,
110, 109, 109, 108, 107, 105, 100, 100, 100, 99, 99, 99, 98, 98, 97, 97,
110, 112, 118, 124, 130, 135, 139, 142, 145, 148, 151, 157, 163, 169, 172,
176, 179, 183, 187, 190, 190, 186, 180, 177, 175, 173, 170, 169, 169, 170,
171, 172, 170, 170, 167, 163, 160, 157, 154, 152, 149, 147, 144, 140, 137,
137, 136, 137, 138, 138, 139, 140, 141, 140, 140, 140, 140, 140, 140, 140,
140, 138, 134, 131, 128, 124, 121, 118, 115, 112, 110, 109, 108, 107, 106,
105, 100, 100, 100, 99, 99, 99, 98, 98, 98, 97, 97, 108, 110, 116, 122,
128, 133, 137, 141, 143, 146, 149, 154, 161, 165, 168, 172, 175, 180, 184,
188, 189, 187, 182, 178, 176, 176, 175, 173, 174, 173, 175, 174, 173, 171,
168, 161, 157, 154, 150, 148, 145, 143, 141, 138, 135, 135, 134, 135, 135,
136, 136, 137, 138, 139, 140, 140, 140, 140, 140, 140, 140, 139, 135, 130,
126, 123, 120, 117, 114, 111, 109, 108, 107, 106, 105, 100, 100, 100, 99,
99, 98, 98, 98, 98, 97, 97, 96, 108, 110, 114, 120, 126, 129, 134, 139,
142, 144, 146, 152, 158, 161, 164, 168, 171, 175, 181, 184, 186, 186, 183,
179, 178, 178, 177, 175, 178, 177, 177, 176, 175, 173, 168, 162, 156, 153,
149, 145, 142, 140, 138, 136, 133, 132, 132, 132, 134, 134, 134, 134, 135,
136, 137, 138, 140, 140, 140, 140, 139, 137, 133, 127, 123, 120, 118, 115,
112, 108, 108, 106, 106, 105, 100, 100, 100, 98, 98, 98, 98, 98, 98, 97,
96, 96, 96, 108, 110, 112, 117, 122, 126, 129, 135, 139, 141, 144, 149,
153, 156, 160, 165, 168, 171, 177, 181, 184, 185, 182, 180, 180, 179, 178,
178, 180, 179, 179, 178, 176, 173, 168, 163, 157, 152, 148, 143, 139, 137,
135, 133, 131, 130, 130, 131, 132, 132, 132, 131, 132, 132, 133, 134, 136,
137, 137, 137, 136, 134, 131, 124, 121, 118, 116, 114, 111, 109, 107, 106,
105, 100, 100, 100, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 107, 109,
111, 116, 119, 122, 125, 130, 135, 137, 140, 144, 148, 152, 156, 161, 165,
168, 172, 177, 181, 184, 181, 181, 181, 180, 180, 180, 180, 180, 180, 178,
178, 173, 168, 163, 158, 152, 146, 141, 138, 136, 134, 132, 130, 129, 128,
128, 130, 130, 130, 129, 128, 129, 129, 130, 132, 133, 133, 134, 134, 132,
128, 122, 119, 116, 114, 112, 108, 106, 105, 105, 100, 100, 100, 97, 97,
97, 97, 97, 97, 97, 96, 96, 96, 96, 95, 107, 108, 110, 113, 115, 118, 121,
126, 131, 134, 137, 140, 143, 148, 152, 157, 162, 165, 169, 173, 177, 181,
181, 181, 180, 181, 181, 181, 180, 180, 180, 178, 176, 170, 167, 163, 158,
152, 145, 140, 137, 134, 132, 130, 129, 127, 127, 126, 127, 128, 128, 126,
125, 125, 125, 123, 126, 128, 129, 130, 130, 125, 124, 119, 116, 114, 112,
110, 107, 106, 105, 100, 100, 100, 96, 96, 96, 96, 96, 96, 96, 96, 96,
96, 96, 95, 95, 108, 109, 110, 111, 114, 116, 118, 122, 127, 130, 133,
136, 140, 144, 148, 153, 157, 161, 165, 169, 173, 177, 180, 180, 180, 180,
181, 180, 180, 180, 179, 178, 173, 168, 165, 161, 156, 149, 143, 139, 136,
133, 130, 129, 128, 126, 126, 125, 125, 125, 125, 124, 122, 121, 120, 120,
120, 120, 121, 122, 123, 122, 120, 117, 114, 111, 108, 106, 105, 100, 100,
100, 100, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 108,
109, 110, 110, 112, 115, 116, 118, 122, 125, 129, 133, 137, 140, 144, 149,
152, 157, 161, 165, 169, 173, 176, 179, 179, 180, 180, 180, 178, 178, 176,
175, 171, 165, 163, 160, 153, 148, 143, 139, 135, 132, 129, 128, 127, 125,
124, 124, 123, 123, 122, 122, 120, 118, 117, 118, 115, 117, 118, 118, 119,
117, 116, 115, 112, 109, 107, 105, 100, 100, 100, 100, 97, 96, 96, 96,
96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 108, 109, 110, 110, 110, 113,
114, 116, 119, 122, 126, 131, 134, 138, 141, 145, 149, 152, 156, 160, 164,
169, 171, 174, 177, 175, 178, 179, 177, 175, 174, 172, 168, 163, 160, 157,
151, 147, 143, 138, 133, 130, 128, 125, 125, 124, 123, 122, 121, 121, 120,
120, 118, 116, 115, 111, 110, 110, 110, 110, 113, 114, 113, 112, 110, 107,
105, 102, 100, 100, 100, 98, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96,
95, 95, 95, 94, 108, 109, 109, 110, 110, 111, 112, 114, 117, 120, 124,
128, 131, 135, 138, 142, 145, 149, 152, 155, 158, 163, 166, 167, 170, 173,
175, 175, 175, 173, 171, 169, 164, 160, 156, 153, 149, 144, 140, 136, 131,
129, 126, 124, 123, 123, 122, 121, 120, 120, 120, 119, 117, 115, 111, 110,
110, 110, 110, 110, 109, 109, 110, 109, 108, 106, 103, 101, 100, 100, 100,
98, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 94, 108, 108,
109, 109, 110, 110, 110, 112, 115, 118, 121, 125, 128, 131, 134, 138, 141,
145, 147, 149, 152, 157, 160, 161, 163, 166, 169, 170, 170, 171, 168, 162,
158, 155, 152, 148, 144, 140, 136, 132, 129, 127, 124, 122, 121, 120, 120,
120, 120, 120, 119, 117, 115, 113, 110, 110, 110, 110, 109, 108, 108, 107,
107, 106, 105, 104, 102, 100, 100, 100, 99, 98, 97, 96, 96, 96, 96, 96,
96, 96, 96, 96, 95, 95, 95, 94, 94, 107, 108, 109, 109, 110, 110, 110,
112, 115, 117, 119, 122, 125, 127, 130, 133, 137, 141, 143, 145, 148, 149,
152, 155, 157, 159, 160, 160, 161, 162, 159, 156, 153, 149, 146, 142, 139,
134, 130, 128, 126, 125, 122, 120, 120, 120, 119, 119, 119, 118, 117, 115,
113, 111, 110, 110, 109, 108, 107, 106, 106, 105, 104, 104, 103, 102, 100,
100, 100, 99, 99, 98, 97, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95,
94, 94, 107, 108, 109, 109, 110, 110, 110, 113, 115, 117, 118, 119, 120,
123, 126, 129, 131, 134, 139, 142, 144, 145, 147, 148, 150, 152, 154, 154,
153, 154, 151, 149, 146, 143, 140, 136, 130, 128, 126, 124, 122, 121, 120,
119, 118, 117, 117, 117, 116, 116, 115, 113, 112, 110, 109, 108, 107, 106,
106, 105, 104, 103, 102, 101, 101, 100, 100, 100, 100, 99, 99, 98, 97,
96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 94, 94, 94, 107, 108, 108,
109, 109, 110, 111, 112, 114, 115, 116, 117, 118, 119, 121, 125, 125, 127,
131, 136, 140, 141, 142, 144, 144, 145, 148, 149, 148, 147, 146, 144, 140,
138, 136, 130, 127, 125, 123, 121, 119, 118, 117, 117, 116, 116, 116, 115,
114, 113, 113, 111, 110, 109, 108, 107, 106, 105, 105, 103, 103, 102, 102,
102, 103, 101, 100, 100, 100, 99, 98, 98, 97, 96, 96, 96, 96, 96, 96, 96,
96, 95, 95, 95, 94, 94, 94, 107, 107, 108, 108, 109, 109, 110, 110, 112,
113, 114, 115, 116, 117, 117, 120, 120, 121, 123, 129, 134, 136, 138, 139,
139, 139, 140, 142, 142, 141, 141, 140, 137, 134, 131, 127, 124, 122, 120,
118, 117, 115, 113, 114, 113, 114, 114, 113, 112, 111, 110, 110, 109, 108,
107, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 101, 100, 100, 99,
99, 98, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 94, 94, 94, 94,
106, 107, 107, 108, 108, 108, 109, 110, 110, 111, 112, 113, 114, 115, 114,
115, 116, 116, 119, 123, 125, 130, 133, 134, 134, 134, 134, 135, 135, 136,
135, 134, 132, 130, 128, 124, 121, 119, 118, 116, 114, 112, 111, 111, 111,
112, 112, 111, 110, 110, 110, 109, 108, 108, 107, 108, 107, 106, 105, 104,
104, 104, 103, 103, 103, 102, 101, 100, 99, 99, 98, 97, 96, 96, 96, 96,
96, 96, 96, 96, 95, 95, 95, 94, 94, 94, 94, 106, 106, 107, 107, 107, 108,
109, 109, 110, 110, 111, 111, 112, 113, 112, 111, 111, 112, 115, 118, 118,
119, 126, 128, 128, 127, 128, 128, 129, 130, 129, 128, 127, 125, 122, 120,
118, 117, 115, 114, 112, 110, 110, 110, 110, 110, 111, 110, 110, 110, 109,
109, 108, 107, 106, 105, 105, 105, 104, 104, 104, 103, 103, 102, 102, 102,
101, 100, 99, 99, 98, 97, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 94, 94,
94, 94, 94, 105, 106, 106, 107, 107, 108, 108, 109, 109, 110, 110, 110,
110, 111, 110, 110, 110, 110, 111, 114, 115, 116, 121, 121, 121, 121, 121,
122, 123, 124, 124, 123, 121, 119, 118, 117, 115, 114, 112, 111, 110, 110,
110, 110, 110, 110, 109, 109, 108, 109, 107, 107, 106, 106, 105, 105, 104,
104, 104, 104, 103, 103, 102, 102, 102, 101, 100, 100, 99, 99, 98, 97,
96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 94, 94, 94, 94, 94, 105, 105, 106,
106, 107, 107, 108, 108, 109, 109, 109, 109, 109, 110, 110, 110, 110, 110,
110, 110, 111, 112, 115, 115, 115, 115, 115, 116, 116, 117, 119, 118, 117,
116, 114, 113, 112, 110, 110, 110, 110, 110, 110, 109, 109, 108, 107, 106,
106, 106, 106, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102,
102, 101, 100, 100, 99, 99, 98, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96,
95, 95, 94, 94, 94, 94, 94, 104, 105, 105, 106, 106, 107, 107, 108, 108,
108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 110, 110, 110, 110,
110, 110, 110, 111, 113, 115, 116, 115, 113, 112, 110, 110, 110, 110, 110,
110, 109, 108, 108, 108, 108, 107, 106, 105, 105, 105, 105, 105, 105, 104,
104, 104, 104, 103, 103, 103, 102, 102, 102, 101, 100, 100, 100, 99, 99,
98, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 94, 94, 94, 94, 94,
104, 104, 105, 105, 106, 106, 107, 107, 107, 107, 107, 107, 107, 106, 106,
106, 106, 106, 106, 108, 108, 108, 106, 106, 108, 109, 110, 110, 112, 112,
113, 112, 111, 110, 110, 110, 110, 109, 109, 109, 108, 107, 107, 107, 107,
106, 106, 105, 104, 104, 104, 104, 104, 104, 104, 103, 103, 103, 103, 102,
102, 101, 101, 100, 100, 100, 100, 99, 99, 98, 97, 97, 96, 96, 96, 96,
96, 96, 96, 95, 95, 95, 94, 94, 94, 94, 94, 103, 104, 104, 105, 105, 106,
106, 106, 107, 107, 106, 106, 105, 105, 104, 104, 104, 104, 105, 107, 107,
106, 105, 105, 107, 108, 109, 110, 110, 110, 110, 110, 110, 109, 109, 109,
109, 109, 109, 108, 107, 107, 107, 107, 106, 106, 105, 104, 104, 104, 104,
104, 104, 104, 103, 103, 103, 103, 102, 102, 101, 101, 100, 100, 100, 100,
100, 99, 98, 97, 97, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 94, 94, 94,
94, 94, 94), dim = c(87, 61))