🏠
import numpy as np
import matplotlib.pyplot as plt
#fig, ax = plt.subplots(figsize=(2.9, 2.1))
fig, ax = plt.subplots()
#----------------
#_📈_416_入力ミス 1.25mM 硫酸銅(Ⅱ)五水和物水溶液 Mnマーカー有り 10mW、80℃で測定
xy_416 = [(113,) \
, (113,) \
, (124,) \
, (159,) \
, (147,) \
, (90,) \
, (91,) \
, (95,) \
, (80,) \
, (85,) \
, (100,) \
, (106,) \
, (107,) \
, (116,) \
, (105,) \
, (84,) \
, (72,) \
, (101,) \
, (122,) \
, (119,) \
, (128,) \
, (136,) \
, (131,) \
, (140,) \
, (111,) \
, (95,) \
, (119,) \
, (117,) \
, (98,) \
, (104,) \
, (118,) \
, (126,) \
, (107,) \
, (111,) \
, (143,) \
, (140,) \
, (125,) \
, (104,) \
, (112,) \
, (103,) \
, (86,) \
, (76,) \
, (73,) \
, (70,) \
, (79,) \
, (101,) \
, (133,) \
, (127,) \
, (110,) \
, (110,) \
, (71,) \
, (71,) \
, (89,) \
, (77,) \
, (62,) \
, (80,) \
, (96,) \
, (109,) \
, (103,) \
, (113,) \
, (112,) \
, (107,) \
, (87,) \
, (71,) \
, (84,) \
, (115,) \
, (141,) \
, (131,) \
, (140,) \
, (162,) \
, (155,) \
, (142,) \
, (121,) \
, (123,) \
, (119,) \
, (118,) \
, (123,) \
, (114,) \
, (86,) \
, (86,) \
, (109,) \
, (143,) \
, (144,) \
, (125,) \
, (113,) \
, (99,) \
, (97,) \
, (94,) \
, (106,) \
, (124,) \
, (130,) \
, (109,) \
, (90,) \
, (103,) \
, (118,) \
, (132,) \
, (120,) \
, (119,) \
, (114,) \
, (127,) \
, (136,) \
, (126,) \
, (125,) \
, (145,) \
, (155,) \
, (139,) \
, (127,) \
, (102,) \
, (74,) \
, (82,) \
, (108,) \
, (119,) \
, (121,) \
, (104,) \
, (94,) \
, (109,) \
, (112,) \
, (108,) \
, (102,) \
, (90,) \
, (104,) \
, (105,) \
, (96,) \
, (92,) \
, (106,) \
, (92,) \
, (80,) \
, (87,) \
, (93,) \
, (113,) \
, (121,) \
, (125,) \
, (116,) \
, (96,) \
, (75,) \
, (107,) \
, (120,) \
, (107,) \
, (90,) \
, (109,) \
, (116,) \
, (99,) \
, (100,) \
, (99,) \
, (101,) \
, (130,) \
, (141,) \
, (116,) \
, (106,) \
, (120,) \
, (127,) \
, (104,) \
, (97,) \
, (101,) \
, (99,) \
, (106,) \
, (108,) \
, (88,) \
, (92,) \
, (95,) \
, (103,) \
, (111,) \
, (98,) \
, (115,) \
, (156,) \
, (147,) \
, (148,) \
, (157,) \
, (147,) \
, (165,) \
, (171,) \
, (140,) \
, (118,) \
, (98,) \
, (93,) \
, (99,) \
, (117,) \
, (126,) \
, (118,) \
, (109,) \
, (88,) \
, (74,) \
, (96,) \
, (140,) \
, (131,) \
, (91,) \
, (90,) \
, (100,) \
, (96,) \
, (105,) \
, (111,) \
, (117,) \
, (114,) \
, (115,) \
, (130,) \
, (127,) \
, (129,) \
, (110,) \
, (119,) \
, (131,) \
, (131,) \
, (118,) \
, (117,) \
, (129,) \
, (124,) \
, (124,) \
, (125,) \
, (144,) \
, (160,) \
, (148,) \
, (116,) \
, (97,) \
, (120,) \
, (144,) \
, (153,) \
, (157,) \
, (149,) \
, (128,) \
, (103,) \
, (79,) \
, (108,) \
, (117,) \
, (151,) \
, (173,) \
, (155,) \
, (138,) \
, (127,) \
, (122,) \
, (134,) \
, (137,) \
, (142,) \
, (138,) \
, (144,) \
, (121,) \
, (121,) \
, (124,) \
, (138,) \
, (155,) \
, (173,) \
, (148,) \
, (123,) \
, (112,) \
, (119,) \
, (132,) \
, (147,) \
, (151,) \
, (149,) \
, (140,) \
, (116,) \
, (108,) \
, (103,) \
, (120,) \
, (124,) \
, (128,) \
, (117,) \
, (99,) \
]
z_416 = [list(t) for t in zip(*xy_416)]; x_416 = z_416[0]; y_416 = z_416[1]
ax.scatter(x_416, y_416)
ax.plot(x_416, y_416)
ax.annotate('ID=416' \
, xy=(np.mean(x_416),np.mean(y_416)) \
, xytext=(np.mean(x_416)+ np.std(y_416), np.mean(y_416) + np.std(y_416)) \
, arrowprops=dict(arrowstyle="->"))
#----------------
plt.show()
A4 (210 × 297mm)あるいは少し大きめのレターサイズ(215.9 × 279.4ミリ)が一般的です。 2 カラムとすると 3.34645669291339インチ程度。 アスペクトを 4:3にすれば、2.9インチ×2.1インチぐらいの図が論文投稿の図として適切です。
サーバーサイドでラスタライズ(bmp,jpg,png)しているので、レスポンシブな表示が可能です。 サーバーサイドでダイナミックに生成している画像なので、ダウンロードだけでなく、リンクもできます。
クライアントサイドでラスタライズ(bmp,jpg,png)しているので、レスポンシブな表示が可能です。 クライアントサイドでダイナミックに生成している画像なので、ダウンロードはできますが、リンクはできません。
| xmin | 50 |
| xmax | 0 |
| ymin | 72000 |
| ymax | -73200 |
,[113 ],[113 ],[124 ],[159 ],[147 ],[90 ],[91 ],[95 ],[80 ],[85 ],[100 ],[106 ],[107 ],[116 ],[105 ],[84 ],[72 ],[101 ],[122 ],[119 ],[128 ],[136 ],[131 ],[140 ],[111 ],[95 ],[119 ],[117 ],[98 ],[104 ],[118 ],[126 ],[107 ],[111 ],[143 ],[140 ],[125 ],[104 ],[112 ],[103 ],[86 ],[76 ],[73 ],[70 ],[79 ],[101 ],[133 ],[127 ],[110 ],[110 ],[71 ],[71 ],[89 ],[77 ],[62 ],[80 ],[96 ],[109 ],[103 ],[113 ],[112 ],[107 ],[87 ],[71 ],[84 ],[115 ],[141 ],[131 ],[140 ],[162 ],[155 ],[142 ],[121 ],[123 ],[119 ],[118 ],[123 ],[114 ],[86 ],[86 ],[109 ],[143 ],[144 ],[125 ],[113 ],[99 ],[97 ],[94 ],[106 ],[124 ],[130 ],[109 ],[90 ],[103 ],[118 ],[132 ],[120 ],[119 ],[114 ],[127 ],[136 ],[126 ],[125 ],[145 ],[155 ],[139 ],[127 ],[102 ],[74 ],[82 ],[108 ],[119 ],[121 ],[104 ],[94 ],[109 ],[112 ],[108 ],[102 ],[90 ],[104 ],[105 ],[96 ],[92 ],[106 ],[92 ],[80 ],[87 ],[93 ],[113 ],[121 ],[125 ],[116 ],[96 ],[75 ],[107 ],[120 ],[107 ],[90 ],[109 ],[116 ],[99 ],[100 ],[99 ],[101 ],[130 ],[141 ],[116 ],[106 ],[120 ],[127 ],[104 ],[97 ],[101 ],[99 ],[106 ],[108 ],[88 ],[92 ],[95 ],[103 ],[111 ],[98 ],[115 ],[156 ],[147 ],[148 ],[157 ],[147 ],[165 ],[171 ],[140 ],[118 ],[98 ],[93 ],[99 ],[117 ],[126 ],[118 ],[109 ],[88 ],[74 ],[96 ],[140 ],[131 ],[91 ],[90 ],[100 ],[96 ],[105 ],[111 ],[117 ],[114 ],[115 ],[130 ],[127 ],[129 ],[110 ],[119 ],[131 ],[131 ],[118 ],[117 ],[129 ],[124 ],[124 ],[125 ],[144 ],[160 ],[148 ],[116 ],[97 ],[120 ],[144 ],[153 ],[157 ],[149 ],[128 ],[103 ],[79 ],[108 ],[117 ],[151 ],[173 ],[155 ],[138 ],[127 ],[122 ],[134 ],[137 ],[142 ],[138 ],[144 ],[121 ],[121 ],[124 ],[138 ],[155 ],[173 ],[148 ],[123 ],[112 ],[119 ],[132 ],[147 ],[151 ],[149 ],[140 ],[116 ],[108 ],[103 ],[120 ],[124 ],[128 ],[117 ],[99 ],[95 ],[102 ],[107 ],[127 ],[148 ],[149 ],[127 ],[134 ],[154 ],[169 ],[157 ],[129 ],[102 ],[110 ],[133 ],[168 ],[178 ],[163 ],[152 ],[124 ],[119 ],[124 ],[122 ],[131 ],[128 ],[122 ],[124 ],[148 ],[151 ],[123 ],[143 ],[149 ],[155 ],[155 ],[123 ],[136 ],[172 ],[191 ],[186 ],[155 ],[135 ],[134 ],[115 ],[97 ],[102 ],[105 ],[110 ],[108 ],[104 ],[125 ],[159 ],[169 ],[157 ],[118 ],[90 ],[76 ],[67 ],[65 ],[90 ],[121 ],[129 ],[132 ],[134 ],[124 ],[121 ],[142 ],[147 ],[162 ],[140 ],[94 ],[108 ],[134 ],[149 ],[158 ],[161 ],[122 ],[108 ],[123 ],[121 ],[123 ],[137 ],[143 ],[148 ],[134 ],[109 ],[97 ],[87 ],[113 ],[147 ],[144 ],[160 ],[159 ],[159 ],[134 ],[110 ],[117 ],[134 ],[152 ],[151 ],[128 ],[110 ],[140 ],[174 ],[188 ],[164 ],[139 ],[130 ],[129 ],[125 ],[137 ],[120 ],[126 ],[138 ],[146 ],[145 ],[155 ],[167 ],[183 ],[191 ],[152 ],[124 ],[135 ],[154 ],[157 ],[148 ],[152 ],[159 ],[152 ],[140 ],[157 ],[166 ],[139 ],[113 ],[110 ],[114 ],[134 ],[140 ],[128 ],[109 ],[128 ],[121 ],[120 ],[127 ],[109 ],[107 ],[96 ],[112 ],[136 ],[137 ],[114 ],[93 ],[108 ],[119 ],[129 ],[141 ],[127 ],[137 ],[136 ],[141 ],[118 ],[121 ],[125 ],[126 ],[118 ],[135 ],[143 ],[118 ],[87 ],[80 ],[72 ],[73 ],[110 ],[142 ],[143 ],[134 ],[121 ],[114 ],[146 ],[176 ],[163 ],[126 ],[86 ],[56 ],[47 ],[81 ],[137 ],[161 ],[157 ],[151 ],[158 ],[142 ],[116 ],[124 ],[160 ],[159 ],[147 ],[142 ],[120 ],[98 ],[92 ],[125 ],[138 ],[141 ],[143 ],[152 ],[153 ],[136 ],[148 ],[137 ],[120 ],[97 ],[107 ],[130 ],[135 ],[131 ],[111 ],[104 ],[109 ],[110 ],[115 ],[111 ],[82 ],[75 ],[88 ],[111 ],[120 ],[128 ],[126 ],[114 ],[115 ],[126 ],[137 ],[123 ],[75 ],[55 ],[67 ],[109 ],[125 ],[137 ],[144 ],[130 ],[150 ],[124 ],[99 ],[98 ],[136 ],[171 ],[168 ],[130 ],[118 ],[118 ],[104 ],[98 ],[102 ],[113 ],[124 ],[125 ],[129 ],[117 ],[106 ],[109 ],[104 ],[106 ],[130 ],[148 ],[136 ],[133 ],[134 ],[106 ],[80 ],[96 ],[101 ],[84 ],[51 ],[62 ],[89 ],[108 ],[112 ],[98 ],[116 ],[151 ],[177 ],[147 ],[127 ],[151 ],[151 ],[146 ],[128 ],[97 ],[92 ],[98 ],[105 ],[128 ],[134 ],[135 ],[115 ],[93 ],[119 ],[118 ],[108 ],[96 ],[99 ],[110 ],[89 ],[98 ],[107 ],[112 ],[108 ],[105 ],[89 ],[71 ],[80 ],[86 ],[96 ],[92 ],[81 ],[90 ],[83 ],[91 ],[97 ],[105 ],[122 ],[125 ],[107 ],[110 ],[105 ],[82 ],[57 ],[63 ],[82 ],[96 ],[114 ],[103 ],[78 ],[73 ],[99 ],[100 ],[77 ],[45 ],[59 ],[86 ],[123 ],[143 ],[123 ],[100 ],[84 ],[77 ],[67 ],[70 ],[64 ],[88 ],[106 ],[144 ],[161 ],[150 ],[128 ],[136 ],[164 ],[175 ],[165 ],[153 ],[144 ],[149 ],[123 ],[97 ],[70 ],[75 ],[103 ],[112 ],[140 ],[156 ],[151 ],[148 ],[122 ],[119 ],[114 ],[110 ],[103 ],[114 ],[97 ],[81 ],[90 ],[90 ],[89 ],[65 ],[82 ],[98 ],[118 ],[129 ],[129 ],[134 ],[106 ],[91 ],[109 ],[100 ],[80 ],[81 ],[92 ],[120 ],[138 ],[137 ],[128 ],[132 ],[103 ],[88 ],[77 ],[79 ],[54 ],[69 ],[96 ],[104 ],[120 ],[123 ],[129 ],[125 ],[115 ],[107 ],[100 ],[116 ],[128 ],[105 ],[87 ],[75 ],[98 ],[109 ],[116 ],[118 ],[122 ],[147 ],[172 ],[152 ],[138 ],[142 ],[159 ],[143 ],[125 ],[124 ],[146 ],[138 ],[135 ],[120 ],[109 ],[107 ],[124 ],[148 ],[138 ],[99 ],[82 ],[81 ],[69 ],[69 ],[80 ],[90 ],[117 ],[129 ],[88 ],[81 ],[86 ],[85 ],[97 ],[100 ],[108 ],[115 ],[118 ],[112 ],[113 ],[119 ],[133 ],[124 ],[89 ],[72 ],[88 ],[122 ],[143 ],[119 ],[93 ],[104 ],[128 ],[127 ],[116 ],[111 ],[131 ],[118 ],[107 ],[110 ],[119 ],[141 ],[134 ],[137 ],[140 ],[129 ],[123 ],[109 ],[95 ],[66 ],[65 ],[92 ],[112 ],[111 ],[119 ],[120 ],[93 ],[77 ],[99 ],[132 ],[130 ],[111 ],[106 ],[131 ],[122 ],[130 ],[127 ],[115 ],[122 ],[125 ],[108 ],[103 ],[101 ],[66 ],[74 ],[94 ],[117 ],[123 ],[144 ],[123 ],[112 ],[111 ],[107 ],[103 ],[120 ],[118 ],[117 ],[120 ],[127 ],[121 ],[120 ],[121 ],[127 ],[113 ],[114 ],[101 ],[76 ],[75 ],[105 ],[110 ],[104 ],[102 ],[112 ],[103 ],[89 ],[89 ],[64 ],[46 ],[50 ],[63 ],[78 ],[89 ],[94 ],[109 ],[131 ],[142 ],[128 ],[126 ],[103 ],[108 ],[101 ],[73 ],[36 ],[31 ],[86 ],[127 ],[139 ],[132 ],[119 ],[108 ],[101 ],[106 ],[144 ],[128 ],[101 ],[91 ],[85 ],[95 ],[100 ],[105 ],[98 ],[103 ],[99 ],[87 ],[69 ],[97 ],[131 ],[105 ],[75 ],[75 ],[105 ],[102 ],[97 ],[120 ],[117 ],[107 ],[110 ],[83 ],[77 ],[93 ],[114 ],[117 ],[108 ],[105 ],[89 ],[97 ],[113 ],[110 ],[89 ],[75 ],[79 ],[95 ],[101 ],[97 ],[97 ],[106 ],[94 ],[101 ],[104 ],[122 ],[130 ],[122 ],[122 ],[127 ],[109 ],[107 ],[111 ],[137 ],[161 ],[138 ],[128 ],[120 ],[101 ],[93 ],[104 ],[128 ],[110 ],[90 ],[102 ],[122 ],[116 ],[96 ],[89 ],[90 ],[105 ],[111 ],[96 ],[93 ],[105 ],[95 ],[87 ],[93 ],[92 ],[80 ],[69 ],[78 ],[92 ],[86 ],[83 ],[90 ],[85 ],[88 ],[110 ],[124 ],[104 ],[73 ],[55 ],[82 ],[127 ],[144 ],[130 ],[141 ],[143 ],[126 ],[109 ],[92 ],[124 ],[149 ],[146 ],[137 ],[114 ],[106 ],[123 ],[129 ],[138 ],[145 ],[137 ],[126 ],[106 ],[83 ],[68 ],[78 ],[120 ],[132 ],[116 ],[115 ],[112 ],[116 ],[114 ],[117 ],[129 ],[129 ],[98 ],[91 ],[102 ],[106 ],[84 ],[66 ],[89 ],[105 ],[115 ],[113 ],[114 ],[130 ],[130 ],[126 ],[127 ],[150 ],[148 ],[159 ],[149 ],[137 ],[107 ],[86 ],[80 ],[117 ],[134 ],[110 ],[76 ],[76 ],[94 ],[88 ],[112 ],[138 ],[127 ],[121 ],[116 ],[124 ],[124 ],[119 ],[111 ],[112 ],[119 ],[101 ],[58 ],[53 ],[83 ],[110 ],[123 ],[148 ],[137 ],[119 ],[123 ],[137 ],[146 ],[151 ],[128 ],[124 ],[125 ],[114 ],[114 ],[112 ],[103 ],[75 ],[82 ],[120 ],[150 ],[141 ],[103 ],[111 ],[153 ],[157 ],[155 ],[133 ],[122 ],[135 ],[151 ],[145 ],[135 ],[118 ],[125 ],[135 ],[144 ],[133 ],[131 ],[138 ],[164 ],[146 ],[121 ],[114 ],[112 ],[109 ],[116 ],[132 ],[140 ],[122 ],[115 ],[125 ],[134 ],[138 ],[154 ],[147 ],[148 ],[143 ],[144 ],[116 ],[92 ],[102 ],[124 ],[138 ],[147 ],[141 ],[125 ],[126 ],[133 ],[137 ],[159 ],[169 ],[192 ],[198 ],[212 ],[177 ],[122 ],[102 ],[119 ],[132 ],[155 ],[151 ],[128 ],[133 ],[133 ],[164 ],[187 ],[172 ],[155 ],[163 ],[153 ],[151 ],[152 ],[152 ],[131 ],[99 ],[97 ],[95 ],[107 ],[132 ],[119 ],[134 ],[136 ],[140 ],[143 ],[132 ],[131 ],[117 ],[120 ],[128 ],[133 ],[143 ],[151 ],[165 ],[135 ],[112 ],[147 ],[162 ],[155 ],[161 ],[152 ],[137 ],[121 ],[111 ],[101 ],[102 ],[125 ],[147 ],[170 ],[166 ],[150 ],[165 ],[157 ],[149 ],[158 ],[168 ],[164 ],[151 ],[148 ],[150 ],[163 ],[141 ],[126 ],[127 ],[129 ],[154 ],[165 ],[166 ],[163 ],[166 ],[167 ],[159 ],[153 ],[143 ],[153 ],[159 ],[163 ],[147 ],[109 ],[101 ],[99 ],[97 ],[130 ],[153 ],[134 ],[122 ],[124 ],[119 ],[92 ],[102 ],[131 ],[125 ],[124 ],[143 ],[156 ],[144 ],[132 ],[144 ],[142 ],[144 ],[150 ],[168 ],[178 ],[195 ],[200 ],[191 ],[189 ],[186 ],[166 ],[147 ],[136 ],[111 ],[118 ],[116 ],[122 ],[158 ],[175 ],[178 ],[178 ],[169 ],[161 ],[169 ],[191 ],[180 ],[177 ],[197 ],[201 ],[206 ],[203 ],[152 ],[133 ],[160 ],[190 ],[175 ],[167 ],[171 ],[164 ],[149 ],[177 ],[200 ],[184 ],[164 ],[152 ],[154 ],[167 ],[148 ],[153 ],[151 ],[162 ],[181 ],[205 ],[182 ],[183 ],[173 ],[159 ],[165 ],[169 ],[167 ],[176 ],[175 ],[154 ],[133 ],[140 ],[148 ],[173 ],[198 ],[190 ],[182 ],[221 ],[226 ],[202 ],[211 ],[226 ],[206 ],[171 ],[153 ],[154 ],[153 ],[158 ],[144 ],[171 ],[184 ],[160 ],[169 ],[186 ],[210 ],[208 ],[206 ],[187 ],[198 ],[218 ],[227 ],[196 ],[197 ],[213 ],[210 ],[228 ],[245 ],[233 ],[193 ],[135 ],[113 ],[135 ],[163 ],[161 ],[173 ],[175 ],[191 ],[208 ],[212 ],[226 ],[225 ],[214 ],[182 ],[187 ],[180 ],[156 ],[141 ],[163 ],[183 ],[203 ],[217 ],[207 ],[210 ],[207 ],[211 ],[208 ],[218 ],[232 ],[229 ],[201 ],[177 ],[174 ],[187 ],[201 ],[220 ],[225 ],[217 ],[211 ],[209 ],[195 ],[190 ],[180 ],[195 ],[188 ],[187 ],[213 ],[220 ],[225 ],[225 ],[239 ],[237 ],[220 ],[200 ],[214 ],[240 ],[238 ],[228 ],[232 ],[222 ],[208 ],[195 ],[218 ],[229 ],[206 ],[210 ],[211 ],[207 ],[209 ],[226 ],[230 ],[226 ],[230 ],[230 ],[239 ],[255 ],[251 ],[231 ],[220 ],[243 ],[240 ],[242 ],[260 ],[240 ],[205 ],[212 ],[214 ],[211 ],[210 ],[181 ],[194 ],[217 ],[241 ],[244 ],[239 ],[230 ],[217 ],[202 ],[211 ],[230 ],[208 ],[199 ],[214 ],[214 ],[212 ],[220 ],[245 ],[234 ],[211 ],[230 ],[268 ],[259 ],[233 ],[215 ],[218 ],[216 ],[215 ],[224 ],[198 ],[201 ],[197 ],[208 ],[223 ],[231 ],[249 ],[251 ],[241 ],[256 ],[255 ],[256 ],[231 ],[231 ],[244 ],[250 ],[256 ],[248 ],[244 ],[255 ],[275 ],[268 ],[263 ],[254 ],[248 ],[272 ],[283 ],[261 ],[262 ],[244 ],[257 ],[264 ],[261 ],[265 ],[267 ],[270 ],[267 ],[284 ],[295 ],[265 ],[250 ],[293 ],[310 ],[311 ],[303 ],[302 ],[307 ],[296 ],[290 ],[275 ],[275 ],[288 ],[301 ],[295 ],[301 ],[313 ],[327 ],[313 ],[311 ],[330 ],[313 ],[310 ],[321 ],[335 ],[339 ],[341 ],[341 ],[340 ],[326 ],[325 ],[311 ],[298 ],[302 ],[298 ],[301 ],[292 ],[289 ],[305 ],[313 ],[306 ],[294 ],[290 ],[310 ],[304 ],[296 ],[273 ],[275 ],[314 ],[326 ],[324 ],[327 ],[344 ],[349 ],[366 ],[358 ],[366 ],[386 ],[369 ],[343 ],[348 ],[345 ],[341 ],[366 ],[343 ],[334 ],[352 ],[367 ],[387 ],[382 ],[357 ],[342 ],[338 ],[354 ],[381 ],[380 ],[390 ],[401 ],[400 ],[376 ],[361 ],[357 ],[376 ],[414 ],[434 ],[420 ],[390 ],[384 ],[408 ],[417 ],[430 ],[418 ],[407 ],[417 ],[439 ],[433 ],[418 ],[422 ],[443 ],[468 ],[475 ],[465 ],[462 ],[462 ],[459 ],[450 ],[449 ],[448 ],[476 ],[514 ],[506 ],[450 ],[425 ],[430 ],[437 ],[448 ],[479 ],[498 ],[487 ],[477 ],[470 ],[438 ],[408 ],[428 ],[467 ],[473 ],[465 ],[485 ],[481 ],[475 ],[475 ],[480 ],[468 ],[437 ],[404 ],[406 ],[407 ],[391 ],[390 ],[385 ],[357 ],[349 ],[365 ],[360 ],[337 ],[322 ],[310 ],[318 ],[312 ],[311 ],[289 ],[283 ],[305 ],[295 ],[249 ],[221 ],[240 ],[260 ],[253 ],[234 ],[232 ],[195 ],[186 ],[217 ],[228 ],[205 ],[179 ],[153 ],[150 ],[155 ],[168 ],[158 ],[122 ],[85 ],[81 ],[81 ],[80 ],[90 ],[80 ],[56 ],[21 ],[15 ],[34 ],[44 ],[32 ],[6 ],[-1 ],[8 ],[14 ],[14 ],[11 ],[-3 ],[-21 ],[-9 ],[8 ],[13 ],[-3 ],[-1 ],[-13 ],[-32 ],[-44 ],[-18 ],[-10 ],[-13 ],[21 ],[20 ],[5 ],[-5 ],[-26 ],[-31 ],[-13 ],[1 ],[-8 ],[-24 ],[-29 ],[-30 ],[-32 ],[-2 ],[5 ],[-1 ],[-23 ],[-31 ],[-17 ],[-1 ],[4 ],[22 ],[39 ],[44 ],[19 ],[-5 ],[-13 ],[-21 ],[-50 ],[-46 ],[-48 ],[-47 ],[-29 ],[13 ],[29 ],[16 ],[-27 ],[-34 ],[-19 ],[-15 ],[-32 ],[-32 ],[-37 ],[-31 ],[-34 ],[-55 ],[-50 ],[-38 ],[-38 ],[-30 ],[-8 ],[5 ],[-10 ],[-24 ],[-21 ],[-30 ],[-63 ],[-49 ],[-29 ],[-46 ],[-45 ],[-42 ],[-49 ],[-59 ],[-27 ],[-14 ],[-20 ],[-41 ],[-46 ],[-16 ],[-29 ],[-34 ],[-33 ],[-16 ],[-11 ],[-3 ],[-35 ],[-67 ],[-70 ],[-68 ],[-70 ],[-37 ],[-8 ],[-23 ],[-37 ],[-67 ],[-73 ],[-72 ],[-67 ],[-43 ],[-5 ],[-12 ],[-31 ],[-44 ],[-68 ],[-80 ],[-61 ],[-36 ],[-24 ],[-36 ],[-33 ],[-29 ],[-26 ],[-36 ],[-54 ],[-55 ],[-45 ],[-25 ],[-38 ],[-56 ],[-89 ],[-91 ],[-81 ],[-80 ],[-81 ],[-87 ],[-74 ],[-94 ],[-100 ],[-71 ],[-28 ],[-6 ],[-28 ],[-62 ],[-78 ],[-93 ],[-88 ],[-60 ],[-76 ],[-89 ],[-61 ],[-49 ],[-69 ],[-74 ],[-68 ],[-62 ],[-67 ],[-84 ],[-94 ],[-88 ],[-79 ],[-82 ],[-74 ],[-54 ],[-52 ],[-33 ],[-28 ],[-44 ],[-63 ],[-65 ],[-58 ],[-51 ],[-49 ],[-56 ],[-65 ],[-74 ],[-63 ],[-52 ],[-53 ],[-61 ],[-68 ],[-75 ],[-77 ],[-55 ],[-59 ],[-58 ],[-47 ],[-55 ],[-79 ],[-83 ],[-82 ],[-73 ],[-84 ],[-78 ],[-59 ],[-47 ],[-48 ],[-34 ],[-15 ],[-44 ],[-56 ],[-38 ],[-23 ],[-35 ],[-56 ],[-66 ],[-73 ],[-64 ],[-60 ],[-59 ],[-38 ],[-34 ],[-52 ],[-42 ],[-31 ],[-53 ],[-80 ],[-76 ],[-73 ],[-50 ],[-39 ],[-46 ],[-69 ],[-66 ],[-51 ],[-49 ],[-33 ],[-10 ],[-13 ],[-26 ],[-43 ],[-65 ],[-84 ],[-60 ],[1 ],[-14 ],[-36 ],[-36 ],[-57 ],[-62 ],[-55 ],[-49 ],[-36 ],[-6 ],[-5 ],[-26 ],[-31 ],[-35 ],[-36 ],[-29 ],[-17 ],[-26 ],[-27 ],[-25 ],[-34 ],[-36 ],[-60 ],[-100 ],[-109 ],[-77 ],[-66 ],[-49 ],[-55 ],[-80 ],[-84 ],[-66 ],[-48 ],[-17 ],[-8 ],[-35 ],[-46 ],[-54 ],[-50 ],[-31 ],[-26 ],[-28 ],[-23 ],[1 ],[-11 ],[-36 ],[-32 ],[-39 ],[-25 ],[-8 ],[2 ],[-13 ],[-56 ],[-83 ],[-82 ],[-68 ],[-49 ],[-53 ],[-67 ],[-87 ],[-81 ],[-54 ],[-26 ],[-9 ],[-16 ],[-6 ],[-14 ],[-18 ],[-17 ],[-30 ],[-64 ],[-83 ],[-75 ],[-52 ],[-39 ],[-20 ],[-18 ],[-34 ],[-43 ],[-49 ],[-70 ],[-34 ],[6 ],[11 ],[-14 ],[-17 ],[-34 ],[-46 ],[-33 ],[-36 ],[-30 ],[-54 ],[-58 ],[-42 ],[-34 ],[-26 ],[-10 ],[7 ],[10 ],[17 ],[25 ],[11 ],[13 ],[8 ],[-4 ],[-4 ],[7 ],[-31 ],[-69 ],[-59 ],[-36 ],[-32 ],[-30 ],[-25 ],[-14 ],[-10 ],[-16 ],[-27 ],[-24 ],[-33 ],[-35 ],[-55 ],[-56 ],[-49 ],[-34 ],[-21 ],[-15 ],[-14 ],[-3 ],[-2 ],[-17 ],[-34 ],[-17 ],[-5 ],[-9 ],[-25 ],[-41 ],[-21 ],[-8 ],[-10 ],[-11 ],[-13 ],[-12 ],[-10 ],[-29 ],[-13 ],[11 ],[9 ],[2 ],[17 ],[30 ],[31 ],[11 ],[-17 ],[-28 ],[-14 ],[-21 ],[-33 ],[-31 ],[-31 ],[-34 ],[-13 ],[10 ],[25 ],[-5 ],[-7 ],[16 ],[17 ],[10 ],[-5 ],[-26 ],[-29 ],[-16 ],[-10 ],[0 ],[6 ],[-3 ],[-20 ],[4 ],[37 ],[35 ],[-1 ],[-25 ],[-24 ],[-14 ],[0 ],[17 ],[28 ],[-7 ],[-25 ],[-9 ],[39 ],[34 ],[10 ],[4 ],[17 ],[33 ],[4 ],[11 ],[14 ],[29 ],[45 ],[39 ],[29 ],[28 ],[15 ],[-18 ],[-21 ],[-5 ],[4 ],[17 ],[6 ],[-1 ],[-4 ],[-9 ],[-14 ],[1 ],[4 ],[-9 ],[-26 ],[-9 ],[2 ],[-19 ],[-2 ],[13 ],[29 ],[39 ],[51 ],[4 ],[-34 ],[-20 ],[15 ],[19 ],[-3 ],[-19 ],[-1 ],[0 ],[8 ],[-4 ],[18 ],[37 ],[5 ],[-14 ],[-8 ],[-14 ],[-19 ],[-5 ],[-15 ],[-28 ],[-17 ],[-12 ],[19 ],[11 ],[7 ],[6 ],[-2 ],[-13 ],[-2 ],[9 ],[26 ],[37 ],[47 ],[27 ],[11 ],[-10 ],[-18 ],[-15 ],[-8 ],[-5 ],[-9 ],[-5 ],[3 ],[6 ],[8 ],[1 ],[13 ],[4 ],[8 ],[14 ],[0 ],[0 ],[13 ],[23 ],[38 ],[22 ],[28 ],[17 ],[-1 ],[17 ],[0 ],[-4 ],[-7 ],[7 ],[10 ],[35 ],[50 ],[64 ],[55 ],[43 ],[35 ],[22 ],[26 ],[15 ],[31 ],[44 ],[44 ],[34 ],[24 ],[16 ],[32 ],[53 ],[50 ],[59 ],[70 ],[71 ],[62 ],[45 ],[30 ],[14 ],[2 ],[3 ],[5 ],[26 ],[27 ],[3 ],[-13 ],[-33 ],[-18 ],[-8 ],[-5 ],[-3 ],[4 ],[17 ],[20 ],[30 ],[38 ],[40 ],[19 ],[18 ],[17 ],[-10 ],[4 ],[3 ],[17 ],[52 ],[78 ],[57 ],[42 ],[24 ],[13 ],[9 ],[-2 ],[-14 ],[-31 ],[-13 ],[13 ],[28 ],[15 ],[11 ],[21 ],[41 ],[24 ],[16 ],[2 ],[-20 ],[-23 ],[-22 ],[5 ],[32 ],[30 ],[32 ],[36 ],[31 ],[22 ],[15 ],[35 ],[58 ],[45 ],[28 ],[30 ],[20 ],[20 ],[23 ],[45 ],[38 ],[0 ],[8 ],[6 ],[28 ],[59 ],[37 ],[22 ],[-13 ],[-5 ],[39 ],[53 ],[54 ],[40 ],[18 ],[-29 ],[-23 ],[22 ],[47 ],[48 ],[35 ],[34 ],[20 ],[22 ],[21 ],[10 ],[-4 ],[20 ],[53 ],[69 ],[78 ],[68 ],[67 ],[59 ],[63 ],[50 ],[35 ],[66 ],[63 ],[49 ],[81 ],[94 ],[83 ],[51 ],[37 ],[38 ],[46 ],[57 ],[64 ],[49 ],[37 ],[12 ],[25 ],[58 ],[72 ],[69 ],[44 ],[27 ],[30 ],[33 ],[24 ],[22 ],[42 ],[45 ],[59 ],[53 ],[37 ],[20 ],[27 ],[9 ],[2 ],[26 ],[50 ],[31 ],[32 ],[43 ],[42 ],[33 ],[39 ],[40 ],[30 ],[23 ],[13 ],[23 ],[36 ],[7 ],[-6 ],[-8 ],[-11 ],[-12 ],[3 ],[16 ],[4 ],[-4 ],[23 ],[61 ],[48 ],[28 ],[30 ],[39 ],[44 ],[43 ],[38 ],[49 ],[36 ],[31 ],[31 ],[27 ],[58 ],[57 ],[63 ],[57 ],[53 ],[60 ],[72 ],[61 ],[31 ],[26 ],[18 ],[36 ],[60 ],[49 ],[28 ],[10 ],[33 ],[48 ],[41 ],[34 ],[34 ],[45 ],[50 ],[41 ],[36 ],[27 ],[10 ],[48 ],[79 ],[76 ],[57 ],[48 ],[31 ],[23 ],[46 ],[64 ],[66 ],[71 ],[66 ],[47 ],[40 ],[20 ],[2 ],[-2 ],[13 ],[42 ],[30 ],[15 ],[15 ],[21 ],[34 ],[51 ],[52 ],[43 ],[45 ],[42 ],[44 ],[37 ],[32 ],[27 ],[20 ],[20 ],[19 ],[29 ],[-3 ],[-3 ],[23 ],[34 ],[21 ],[36 ],[47 ],[48 ],[38 ],[7 ],[-12 ],[-10 ],[-18 ],[5 ],[42 ],[33 ],[24 ],[30 ],[75 ],[86 ],[92 ],[94 ],[89 ],[76 ],[66 ],[50 ],[46 ],[41 ],[24 ],[15 ],[21 ],[44 ],[59 ],[68 ],[59 ],[39 ],[53 ],[81 ],[90 ],[68 ],[65 ],[71 ],[52 ],[53 ],[50 ],[40 ],[21 ],[26 ],[48 ],[62 ],[48 ],[33 ],[47 ],[43 ],[38 ],[41 ],[54 ],[58 ],[66 ],[56 ],[62 ],[55 ],[56 ],[48 ],[18 ],[19 ],[9 ],[25 ],[45 ],[28 ],[27 ],[34 ],[45 ],[66 ],[58 ],[19 ],[37 ],[66 ],[81 ],[59 ],[70 ],[58 ],[63 ],[92 ],[73 ],[54 ],[56 ],[60 ],[55 ],[41 ],[27 ],[33 ],[36 ],[22 ],[18 ],[4 ],[4 ],[14 ],[32 ],[48 ],[39 ],[38 ],[46 ],[56 ],[66 ],[85 ],[86 ],[65 ],[54 ],[57 ],[63 ],[74 ],[53 ],[38 ],[46 ],[63 ],[67 ],[63 ],[39 ],[29 ],[17 ],[28 ],[46 ],[68 ],[90 ],[99 ],[87 ],[71 ],[59 ],[74 ],[97 ],[101 ],[70 ],[69 ],[53 ],[19 ],[6 ],[23 ],[44 ],[49 ],[37 ],[44 ],[39 ],[44 ],[28 ],[15 ],[30 ],[49 ],[73 ],[55 ],[22 ],[28 ],[37 ],[34 ],[11 ],[38 ],[56 ],[51 ],[59 ],[72 ],[75 ],[51 ],[37 ],[45 ],[63 ],[60 ],[37 ],[26 ],[23 ],[29 ],[19 ],[24 ],[46 ],[49 ],[48 ],[46 ],[44 ],[34 ],[44 ],[58 ],[69 ],[69 ],[60 ],[48 ],[10 ],[2 ],[33 ],[39 ],[47 ],[47 ],[37 ],[51 ],[74 ],[90 ],[90 ],[56 ],[32 ],[36 ],[47 ],[44 ],[34 ],[43 ],[86 ],[68 ],[49 ],[41 ],[44 ],[33 ],[0 ],[-10 ],[0 ],[7 ],[44 ],[60 ],[77 ],[84 ],[109 ],[106 ],[66 ],[68 ],[51 ],[15 ],[-11 ],[15 ],[47 ],[58 ],[72 ],[52 ],[38 ],[16 ],[15 ],[37 ],[42 ],[44 ],[52 ],[47 ],[50 ],[38 ],[54 ],[58 ],[34 ],[15 ],[20 ],[24 ],[38 ],[37 ],[58 ],[57 ],[55 ],[44 ],[24 ],[35 ],[37 ],[43 ],[51 ],[58 ],[54 ],[63 ],[71 ],[81 ],[74 ],[63 ],[65 ],[44 ],[46 ],[52 ],[35 ],[35 ],[39 ],[15 ],[-4 ],[-2 ],[42 ],[52 ],[42 ],[36 ],[7 ],[-16 ],[6 ],[39 ],[64 ],[43 ],[28 ],[36 ],[60 ],[66 ],[63 ],[56 ],[75 ],[44 ],[16 ],[32 ],[52 ],[68 ],[63 ],[46 ],[56 ],[51 ],[49 ],[62 ],[52 ],[24 ],[9 ],[31 ],[62 ],[68 ],[63 ],[56 ],[46 ],[40 ],[52 ],[67 ],[70 ],[81 ],[63 ],[50 ],[57 ],[33 ],[36 ],[56 ],[51 ],[51 ],[56 ],[34 ],[36 ],[30 ],[26 ],[10 ],[4 ],[14 ],[25 ],[29 ],[16 ],[28 ],[29 ],[55 ],[80 ],[48 ],[25 ],[37 ],[37 ],[26 ],[26 ],[70 ],[91 ],[68 ],[43 ],[72 ],[79 ],[67 ],[71 ],[76 ],[100 ],[95 ],[75 ],[39 ],[23 ],[46 ],[48 ],[30 ],[30 ],[59 ],[66 ],[84 ],[76 ],[49 ],[40 ],[45 ],[38 ],[27 ],[14 ],[14 ],[47 ],[48 ],[42 ],[39 ],[67 ],[86 ],[78 ],[48 ],[45 ],[51 ],[76 ],[89 ],[72 ],[46 ],[39 ],[54 ],[58 ],[72 ],[73 ],[57 ],[69 ],[79 ],[83 ],[98 ],[93 ],[58 ],[47 ],[70 ],[86 ],[61 ],[48 ],[43 ],[27 ],[36 ],[66 ],[95 ],[66 ],[42 ],[51 ],[50 ],[47 ],[35 ],[30 ],[6 ],[-4 ],[7 ],[40 ],[43 ],[35 ],[14 ],[-1 ],[2 ],[20 ],[28 ],[4 ],[16 ],[41 ],[63 ],[52 ],[32 ],[34 ],[51 ],[58 ],[30 ],[11 ],[30 ],[27 ],[32 ],[50 ],[69 ],[75 ],[80 ],[69 ],[69 ],[62 ],[70 ],[42 ],[39 ],[50 ],[37 ],[36 ],[45 ],[47 ],[40 ],[36 ],[45 ],[42 ],[26 ],[19 ],[17 ],[16 ],[30 ],[39 ],[43 ],[47 ],[64 ],[66 ],[68 ],[65 ],[51 ],[27 ],[31 ],[19 ],[-2 ],[17 ],[35 ],[34 ],[30 ],[24 ],[33 ],[52 ],[45 ],[24 ],[25 ],[27 ],[13 ],[20 ],[32 ],[18 ],[-9 ],[7 ],[21 ],[20 ],[26 ],[45 ],[29 ],[20 ],[18 ],[-6 ],[-33 ],[-6 ],[14 ],[13 ],[15 ],[26 ],[35 ],[47 ],[65 ],[72 ],[65 ],[55 ],[42 ],[17 ],[10 ],[22 ],[13 ],[17 ],[33 ],[61 ],[54 ],[36 ],[33 ],[38 ],[40 ],[54 ],[43 ],[25 ],[46 ],[56 ],[72 ],[65 ],[46 ],[46 ],[49 ],[65 ],[55 ],[38 ],[51 ],[76 ],[85 ],[87 ],[83 ],[76 ],[85 ],[84 ],[74 ],[88 ],[72 ],[65 ],[51 ],[39 ],[59 ],[86 ],[88 ],[72 ],[46 ],[14 ],[7 ],[22 ],[31 ],[16 ],[7 ],[3 ],[24 ],[34 ],[34 ],[43 ],[53 ],[42 ],[38 ],[46 ],[44 ],[47 ],[56 ],[61 ],[22 ],[34 ],[64 ],[70 ],[57 ],[81 ],[80 ],[55 ],[45 ],[42 ],[27 ],[23 ],[35 ],[32 ],[31 ],[50 ],[79 ],[86 ],[92 ],[62 ],[24 ],[13 ],[20 ],[23 ],[20 ],[31 ],[27 ],[38 ],[47 ],[45 ],[56 ],[67 ],[56 ],[46 ],[30 ],[46 ],[61 ],[52 ],[28 ],[23 ],[28 ],[15 ],[20 ],[42 ],[47 ],[9 ],[-8 ],[16 ],[56 ],[64 ],[52 ],[40 ],[42 ],[46 ],[36 ],[23 ],[28 ],[24 ],[25 ],[33 ],[48 ],[47 ],[50 ],[37 ],[22 ],[33 ],[42 ],[62 ],[83 ],[62 ],[44 ],[38 ],[37 ],[32 ],[33 ],[47 ],[44 ],[39 ],[53 ],[64 ],[65 ],[36 ],[23 ],[21 ],[23 ],[17 ],[26 ],[37 ],[36 ],[49 ],[35 ],[40 ],[41 ],[44 ],[55 ],[54 ],[30 ],[12 ],[12 ],[27 ],[51 ],[62 ],[56 ],[61 ],[75 ],[107 ],[93 ],[61 ],[61 ],[66 ],[67 ],[61 ],[50 ],[28 ],[13 ],[10 ],[6 ],[0 ],[-5 ],[2 ],[19 ],[33 ],[34 ],[32 ],[30 ],[41 ],[67 ],[69 ],[65 ],[46 ],[33 ],[46 ],[64 ],[48 ],[39 ],[53 ],[60 ],[62 ],[59 ],[35 ],[42 ],[42 ],[38 ],[33 ],[47 ],[78 ],[71 ],[53 ],[42 ],[50 ],[83 ],[76 ],[73 ],[48 ],[30 ],[24 ],[18 ],[30 ],[28 ],[56 ],[81 ],[40 ],[6 ],[10 ],[32 ],[13 ],[1 ],[21 ],[43 ],[41 ],[65 ],[93 ],[81 ],[86 ],[76 ],[86 ],[80 ],[61 ],[61 ],[47 ],[24 ],[23 ],[41 ],[48 ],[54 ],[52 ],[53 ],[60 ],[57 ],[48 ],[45 ],[56 ],[40 ],[32 ],[51 ],[56 ],[59 ],[49 ],[57 ],[50 ],[36 ],[45 ],[52 ],[64 ],[65 ],[62 ],[57 ],[29 ],[-3 ],[-20 ],[-10 ],[23 ],[50 ],[83 ],[101 ],[84 ],[78 ],[62 ],[51 ],[44 ],[32 ],[28 ],[29 ],[38 ],[7 ],[4 ],[21 ],[29 ],[34 ],[46 ],[58 ],[53 ],[49 ],[34 ],[40 ],[47 ],[47 ],[76 ],[97 ],[72 ],[42 ],[56 ],[51 ],[19 ],[25 ],[50 ],[77 ],[57 ],[54 ],[64 ],[58 ],[66 ],[58 ],[23 ],[3 ],[20 ],[26 ],[39 ],[47 ],[49 ],[56 ],[39 ],[32 ],[45 ],[62 ],[55 ],[34 ],[31 ],[37 ],[62 ],[71 ],[44 ],[4 ],[1 ],[27 ],[57 ],[72 ],[64 ],[54 ],[39 ],[59 ],[58 ],[29 ],[27 ],[47 ],[46 ],[42 ],[44 ],[43 ],[43 ],[38 ],[13 ],[17 ],[30 ],[52 ],[88 ],[103 ],[79 ],[54 ],[47 ],[44 ],[46 ],[52 ],[52 ],[29 ],[19 ],[34 ],[39 ],[30 ],[27 ],[16 ],[35 ],[65 ],[74 ],[77 ],[93 ],[88 ],[88 ],[68 ],[64 ],[41 ],[45 ],[41 ],[16 ],[-2 ],[-4 ],[35 ],[59 ],[66 ],[67 ],[74 ],[86 ],[90 ],[65 ],[48 ],[24 ],[9 ],[32 ],[62 ],[71 ],[71 ],[69 ],[62 ],[25 ],[32 ],[47 ],[15 ],[13 ],[30 ],[58 ],[57 ],[37 ],[41 ],[49 ],[52 ],[72 ],[72 ],[66 ],[59 ],[74 ],[100 ],[89 ],[82 ],[60 ],[70 ],[76 ],[67 ],[55 ],[68 ],[56 ],[49 ],[64 ],[76 ],[67 ],[67 ],[80 ],[64 ],[32 ],[50 ],[61 ],[53 ],[36 ],[47 ],[50 ],[55 ],[67 ],[52 ],[55 ],[51 ],[24 ],[23 ],[37 ],[59 ],[66 ],[62 ],[36 ],[35 ],[13 ],[16 ],[26 ],[29 ],[35 ],[58 ],[92 ],[88 ],[79 ],[63 ],[75 ],[63 ],[51 ],[57 ],[63 ],[46 ],[53 ],[61 ],[62 ],[44 ],[50 ],[77 ],[86 ],[69 ],[66 ],[61 ],[52 ],[66 ],[81 ],[68 ],[78 ],[76 ],[83 ],[71 ],[73 ],[60 ],[67 ],[49 ],[58 ],[84 ],[63 ],[36 ],[47 ],[79 ],[96 ],[95 ],[64 ],[71 ],[69 ],[74 ],[67 ],[55 ],[57 ],[104 ],[107 ],[106 ],[94 ],[79 ],[94 ],[115 ],[97 ],[81 ],[108 ],[103 ],[78 ],[62 ],[81 ],[121 ],[136 ],[115 ],[92 ],[70 ],[62 ],[53 ],[42 ],[58 ],[89 ],[95 ],[95 ],[89 ],[69 ],[74 ],[83 ],[72 ],[89 ],[118 ],[127 ],[120 ],[89 ],[77 ],[56 ],[63 ],[59 ],[74 ],[100 ],[97 ],[82 ],[73 ],[82 ],[88 ],[96 ],[93 ],[78 ],[94 ],[90 ],[112 ],[129 ],[114 ],[82 ],[61 ],[67 ],[65 ],[75 ],[89 ],[89 ],[84 ],[84 ],[77 ],[66 ],[61 ],[89 ],[113 ],[129 ],[107 ],[118 ],[125 ],[113 ],[90 ],[69 ],[67 ],[54 ],[51 ],[53 ],[71 ],[86 ],[110 ],[129 ],[135 ],[135 ],[114 ],[94 ],[109 ],[107 ],[124 ],[115 ],[97 ],[117 ],[129 ],[141 ],[135 ],[122 ],[113 ],[99 ],[89 ],[73 ],[77 ],[99 ],[100 ],[121 ],[129 ],[132 ],[118 ],[119 ],[88 ],[79 ],[109 ],[132 ],[127 ],[106 ],[139 ],[160 ],[146 ],[165 ],[156 ],[125 ],[104 ],[82 ],[94 ],[132 ],[159 ],[184 ],[177 ],[175 ],[161 ],[129 ],[89 ],[84 ],[119 ],[159 ],[157 ],[157 ],[144 ],[115 ],[103 ],[110 ],[149 ],[167 ],[173 ],[181 ],[175 ],[169 ],[147 ],[142 ],[119 ],[116 ],[149 ],[153 ],[130 ],[139 ],[156 ],[181 ],[201 ],[184 ],[172 ],[163 ],[161 ],[155 ],[138 ],[139 ],[146 ],[151 ],[166 ],[163 ],[154 ],[146 ],[141 ],[130 ],[149 ],[152 ],[156 ],[156 ],[132 ],[139 ],[171 ],[177 ],[182 ],[185 ],[190 ],[191 ],[184 ],[183 ],[201 ],[191 ],[169 ],[197 ],[214 ],[208 ],[203 ],[201 ],[213 ],[237 ],[257 ],[255 ],[247 ],[255 ],[253 ],[241 ],[230 ],[198 ],[205 ],[218 ],[237 ],[266 ],[276 ],[263 ],[233 ],[230 ],[247 ],[275 ],[279 ],[265 ],[258 ],[261 ],[275 ],[278 ],[259 ],[248 ],[274 ],[300 ],[300 ],[293 ],[274 ],[270 ],[290 ],[307 ],[277 ],[274 ],[288 ],[301 ],[313 ],[342 ],[347 ],[324 ],[330 ],[337 ],[357 ],[348 ],[342 ],[346 ],[323 ],[318 ],[317 ],[329 ],[349 ],[355 ],[371 ],[369 ],[399 ],[420 ],[404 ],[396 ],[402 ],[411 ],[398 ],[392 ],[398 ],[396 ],[390 ],[392 ],[387 ],[410 ],[427 ],[442 ],[429 ],[423 ],[429 ],[448 ],[449 ],[444 ],[431 ],[420 ],[435 ],[451 ],[495 ],[518 ],[518 ],[494 ],[480 ],[493 ],[501 ],[511 ],[514 ],[490 ],[483 ],[516 ],[539 ],[552 ],[557 ],[576 ],[597 ],[600 ],[598 ],[575 ],[583 ],[613 ],[632 ],[627 ],[627 ],[658 ],[676 ],[679 ],[688 ],[714 ],[708 ],[713 ],[708 ],[684 ],[688 ],[737 ],[748 ],[750 ],[714 ],[716 ],[726 ],[737 ],[764 ],[784 ],[773 ],[759 ],[769 ],[767 ],[807 ],[854 ],[861 ],[859 ],[885 ],[912 ],[923 ],[904 ],[903 ],[886 ],[887 ],[891 ],[919 ],[922 ],[920 ],[924 ],[959 ],[993 ],[1013 ],[1030 ],[1034 ],[1037 ],[1054 ],[1076 ],[1113 ],[1113 ],[1096 ],[1104 ],[1125 ],[1151 ],[1149 ],[1131 ],[1139 ],[1188 ],[1247 ],[1233 ],[1220 ],[1232 ],[1262 ],[1261 ],[1282 ],[1294 ],[1309 ],[1328 ],[1324 ],[1320 ],[1339 ],[1355 ],[1362 ],[1404 ],[1417 ],[1409 ],[1402 ],[1422 ],[1420 ],[1419 ],[1420 ],[1457 ],[1459 ],[1459 ],[1475 ],[1486 ],[1522 ],[1531 ],[1522 ],[1521 ],[1521 ],[1528 ],[1553 ],[1575 ],[1583 ],[1575 ],[1537 ],[1549 ],[1571 ],[1577 ],[1566 ],[1585 ],[1615 ],[1625 ],[1623 ],[1615 ],[1618 ],[1610 ],[1613 ],[1620 ],[1596 ],[1582 ],[1575 ],[1577 ],[1582 ],[1593 ],[1603 ],[1612 ],[1610 ],[1599 ],[1596 ],[1596 ],[1594 ],[1593 ],[1587 ],[1575 ],[1550 ],[1509 ],[1496 ],[1493 ],[1496 ],[1505 ],[1523 ],[1507 ],[1477 ],[1463 ],[1474 ],[1464 ],[1457 ],[1416 ],[1408 ],[1416 ],[1392 ],[1381 ],[1343 ],[1326 ],[1339 ],[1344 ],[1330 ],[1326 ],[1321 ],[1316 ],[1277 ],[1258 ],[1254 ],[1228 ],[1201 ],[1174 ],[1156 ],[1147 ],[1145 ],[1155 ],[1136 ],[1113 ],[1090 ],[1072 ],[1066 ],[1058 ],[1057 ],[1037 ],[1019 ],[999 ],[971 ],[970 ],[952 ],[921 ],[885 ],[879 ],[881 ],[884 ],[875 ],[863 ],[845 ],[811 ],[783 ],[767 ],[737 ],[731 ],[727 ],[720 ],[716 ],[706 ],[673 ],[634 ],[612 ],[591 ],[576 ],[579 ],[569 ],[534 ],[516 ],[527 ],[522 ],[491 ],[457 ],[471 ],[469 ],[446 ],[423 ],[410 ],[374 ],[352 ],[349 ],[312 ],[284 ],[299 ],[277 ],[253 ],[251 ],[250 ],[256 ],[230 ],[202 ],[215 ],[223 ],[198 ],[181 ],[126 ],[119 ],[97 ],[79 ],[70 ],[57 ],[40 ],[30 ],[19 ],[12 ],[2 ],[-23 ],[-52 ],[-50 ],[-59 ],[-77 ],[-89 ],[-104 ],[-139 ],[-143 ],[-159 ],[-197 ],[-238 ],[-241 ],[-247 ],[-278 ],[-301 ],[-318 ],[-332 ],[-362 ],[-378 ],[-407 ],[-405 ],[-417 ],[-422 ],[-432 ],[-435 ],[-449 ],[-506 ],[-571 ],[-581 ],[-586 ],[-615 ],[-632 ],[-662 ],[-660 ],[-668 ],[-677 ],[-685 ],[-703 ],[-722 ],[-734 ],[-773 ],[-818 ],[-832 ],[-849 ],[-836 ],[-854 ],[-894 ],[-918 ],[-942 ],[-958 ],[-974 ],[-1000 ],[-1047 ],[-1063 ],[-1066 ],[-1067 ],[-1092 ],[-1114 ],[-1119 ],[-1142 ],[-1157 ],[-1171 ],[-1213 ],[-1230 ],[-1246 ],[-1251 ],[-1265 ],[-1309 ],[-1319 ],[-1347 ],[-1371 ],[-1383 ],[-1389 ],[-1399 ],[-1424 ],[-1444 ],[-1441 ],[-1451 ],[-1462 ],[-1486 ],[-1490 ],[-1493 ],[-1524 ],[-1538 ],[-1564 ],[-1582 ],[-1578 ],[-1568 ],[-1580 ],[-1604 ],[-1631 ],[-1668 ],[-1679 ],[-1662 ],[-1646 ],[-1649 ],[-1668 ],[-1696 ],[-1692 ],[-1699 ],[-1738 ],[-1771 ],[-1790 ],[-1800 ],[-1813 ],[-1913 ],[-2021 ],[-2057 ],[-1895 ],[-1572 ],[-1413 ],[-1446 ],[-1545 ],[-1623 ],[-1636 ],[-1659 ],[-1667 ],[-1642 ],[-1622 ],[-1603 ],[-1599 ],[-1582 ],[-1568 ],[-1570 ],[-1565 ],[-1543 ],[-1529 ],[-1503 ],[-1495 ],[-1509 ],[-1505 ],[-1500 ],[-1504 ],[-1495 ],[-1453 ],[-1436 ],[-1433 ],[-1414 ],[-1383 ],[-1370 ],[-1340 ],[-1317 ],[-1330 ],[-1329 ],[-1333 ],[-1339 ],[-1314 ],[-1265 ],[-1250 ],[-1249 ],[-1243 ],[-1235 ],[-1247 ],[-1221 ],[-1188 ],[-1165 ],[-1180 ],[-1202 ],[-1177 ],[-1145 ],[-1144 ],[-1132 ],[-1106 ],[-1067 ],[-1064 ],[-1061 ],[-1053 ],[-1029 ],[-1031 ],[-1027 ],[-1023 ],[-995 ],[-963 ],[-947 ],[-920 ],[-920 ],[-932 ],[-927 ],[-942 ],[-921 ],[-886 ],[-869 ],[-875 ],[-846 ],[-814 ],[-803 ],[-815 ],[-814 ],[-816 ],[-797 ],[-783 ],[-792 ],[-813 ],[-811 ],[-807 ],[-811 ],[-786 ],[-778 ],[-740 ],[-709 ],[-687 ],[-678 ],[-681 ],[-657 ],[-649 ],[-645 ],[-675 ],[-662 ],[-653 ],[-648 ],[-635 ],[-624 ],[-606 ],[-593 ],[-588 ],[-607 ],[-610 ],[-573 ],[-569 ],[-575 ],[-569 ],[-568 ],[-551 ],[-551 ],[-553 ],[-568 ],[-554 ],[-516 ],[-496 ],[-496 ],[-491 ],[-493 ],[-484 ],[-506 ],[-510 ],[-507 ],[-528 ],[-541 ],[-608 ],[-754 ],[-864 ],[-702 ],[-379 ],[-134 ],[-128 ],[-223 ],[-311 ],[-347 ],[-363 ],[-386 ],[-410 ],[-416 ],[-418 ],[-404 ],[-388 ],[-374 ],[-368 ],[-377 ],[-407 ],[-392 ],[-354 ],[-365 ],[-368 ],[-378 ],[-370 ],[-366 ],[-374 ],[-379 ],[-369 ],[-386 ],[-392 ],[-374 ],[-358 ],[-337 ],[-337 ],[-359 ],[-372 ],[-352 ],[-329 ],[-308 ],[-309 ],[-324 ],[-333 ],[-305 ],[-302 ],[-297 ],[-276 ],[-255 ],[-284 ],[-294 ],[-285 ],[-279 ],[-296 ],[-289 ],[-313 ],[-297 ],[-276 ],[-255 ],[-235 ],[-240 ],[-245 ],[-261 ],[-256 ],[-240 ],[-231 ],[-224 ],[-231 ],[-234 ],[-264 ],[-258 ],[-253 ],[-261 ],[-250 ],[-262 ],[-281 ],[-279 ],[-279 ],[-274 ],[-263 ],[-250 ],[-230 ],[-234 ],[-244 ],[-240 ],[-230 ],[-227 ],[-234 ],[-230 ],[-247 ],[-270 ],[-273 ],[-269 ],[-234 ],[-223 ],[-238 ],[-238 ],[-248 ],[-237 ],[-232 ],[-219 ],[-216 ],[-218 ],[-233 ],[-243 ],[-261 ],[-277 ],[-272 ],[-236 ],[-230 ],[-243 ],[-237 ],[-228 ],[-223 ],[-224 ],[-206 ],[-202 ],[-204 ],[-194 ],[-183 ],[-192 ],[-213 ],[-247 ],[-237 ],[-217 ],[-185 ],[-176 ],[-171 ],[-183 ],[-163 ],[-140 ],[-168 ],[-190 ],[-187 ],[-215 ],[-223 ],[-235 ],[-228 ],[-246 ],[-307 ],[-404 ],[-495 ],[-318 ],[27 ],[222 ],[215 ],[79 ],[-33 ],[-98 ],[-126 ],[-133 ],[-154 ],[-161 ],[-163 ],[-168 ],[-149 ],[-128 ],[-139 ],[-126 ],[-111 ],[-134 ],[-164 ],[-189 ],[-197 ],[-214 ],[-197 ],[-161 ],[-138 ],[-136 ],[-156 ],[-152 ],[-161 ],[-151 ],[-119 ],[-116 ],[-131 ],[-171 ],[-181 ],[-173 ],[-161 ],[-169 ],[-192 ],[-192 ],[-173 ],[-168 ],[-179 ],[-147 ],[-131 ],[-145 ],[-142 ],[-141 ],[-135 ],[-153 ],[-162 ],[-155 ],[-133 ],[-117 ],[-133 ],[-147 ],[-157 ],[-158 ],[-160 ],[-168 ],[-189 ],[-186 ],[-155 ],[-136 ],[-140 ],[-114 ],[-111 ],[-127 ],[-134 ],[-133 ],[-127 ],[-121 ],[-110 ],[-94 ],[-99 ],[-138 ],[-176 ],[-178 ],[-153 ],[-148 ],[-157 ],[-155 ],[-137 ],[-141 ],[-153 ],[-149 ],[-165 ],[-161 ],[-180 ],[-176 ],[-157 ],[-158 ],[-124 ],[-110 ],[-128 ],[-125 ],[-129 ],[-124 ],[-121 ],[-145 ],[-144 ],[-133 ],[-133 ],[-137 ],[-128 ],[-121 ],[-124 ],[-121 ],[-123 ],[-162 ],[-187 ],[-184 ],[-162 ],[-125 ],[-111 ],[-135 ],[-160 ],[-143 ],[-143 ],[-149 ],[-171 ],[-156 ],[-142 ],[-169 ],[-162 ],[-141 ],[-134 ],[-143 ],[-153 ],[-165 ],[-195 ],[-200 ],[-194 ],[-187 ],[-192 ],[-212 ],[-291 ],[-400 ],[-557 ],[-557 ],[-278 ],[26 ],[160 ],[157 ],[79 ],[25 ],[-15 ],[-55 ],[-77 ],[-101 ],[-108 ],[-98 ],[-99 ],[-108 ],[-105 ],[-99 ],[-113 ],[-120 ],[-135 ],[-154 ],[-137 ],[-136 ],[-172 ],[-153 ],[-114 ],[-100 ],[-109 ],[-107 ],[-101 ],[-122 ],[-151 ],[-152 ],[-139 ],[-128 ],[-125 ],[-119 ],[-113 ],[-98 ],[-100 ],[-122 ],[-137 ],[-146 ],[-141 ],[-137 ],[-138 ],[-154 ],[-160 ],[-149 ],[-129 ],[-110 ],[-131 ],[-145 ],[-118 ],[-97 ],[-105 ],[-100 ],[-103 ],[-111 ],[-110 ],[-80 ],[-89 ],[-95 ],[-100 ],[-96 ],[-84 ],[-88 ],[-105 ],[-123 ],[-115 ],[-94 ],[-107 ],[-108 ],[-87 ],[-98 ],[-104 ],[-125 ],[-130 ],[-111 ],[-114 ],[-125 ],[-114 ],[-104 ],[-87 ],[-80 ],[-109 ],[-110 ],[-97 ],[-114 ],[-144 ],[-140 ],[-119 ],[-110 ],[-117 ],[-117 ],[-119 ],[-105 ],[-97 ],[-106 ],[-121 ],[-138 ],[-162 ],[-155 ],[-127 ],[-110 ],[-97 ],[-103 ],[-108 ],[-133 ],[-146 ],[-116 ],[-109 ],[-116 ],[-115 ],[-91 ],[-97 ],[-116 ],[-86 ],[-74 ],[-110 ],[-100 ],[-81 ],[-114 ],[-135 ],[-141 ],[-151 ],[-102 ],[-100 ],[-112 ],[-104 ],[-118 ],[-118 ],[-97 ],[-113 ],[-136 ],[-143 ],[-130 ],[-164 ],[-180 ],[-184 ],[-220 ],[-322 ],[-439 ],[-461 ],[-236 ],[95 ],[196 ],[140 ],[65 ],[3 ],[-33 ],[-49 ],[-56 ],[-82 ],[-97 ],[-103 ],[-100 ],[-79 ],[-56 ],[-42 ],[-71 ],[-95 ],[-116 ],[-120 ],[-130 ],[-136 ],[-115 ],[-108 ],[-98 ],[-100 ],[-102 ],[-93 ],[-103 ],[-119 ],[-131 ],[-120 ],[-109 ],[-111 ],[-81 ],[-83 ],[-82 ],[-52 ],[-45 ],[-93 ],[-114 ],[-104 ],[-108 ],[-93 ],[-106 ],[-96 ],[-77 ],[-89 ],[-92 ],[-92 ],[-73 ],[-96 ],[-118 ],[-128 ],[-144 ],[-126 ],[-91 ],[-72 ],[-71 ],[-85 ],[-102 ],[-80 ],[-72 ],[-75 ],[-92 ],[-108 ],[-112 ],[-128 ],[-135 ],[-100 ],[-97 ],[-118 ],[-134 ],[-108 ],[-102 ],[-103 ],[-101 ],[-113 ],[-102 ],[-93 ],[-101 ],[-102 ],[-141 ],[-153 ],[-129 ],[-137 ],[-108 ],[-99 ],[-119 ],[-119 ],[-107 ],[-109 ],[-131 ],[-101 ],[-91 ],[-85 ],[-106 ],[-132 ],[-115 ],[-106 ],[-122 ],[-114 ],[-80 ],[-81 ],[-94 ],[-100 ],[-130 ],[-131 ],[-128 ],[-105 ],[-109 ],[-130 ],[-126 ],[-124 ],[-105 ],[-120 ],[-115 ],[-107 ],[-86 ],[-73 ],[-65 ],[-65 ],[-79 ],[-90 ],[-110 ],[-125 ],[-94 ],[-78 ],[-89 ],[-81 ],[-83 ],[-102 ],[-101 ],[-95 ],[-102 ],[-109 ],[-126 ],[-126 ],[-117 ],[-108 ],[-97 ],[-86 ],[-95 ],[-114 ],[-114 ],[-146 ],[-176 ],[-230 ],[-279 ],[-278 ],[-328 ],[-409 ],[-315 ],[-26 ],[172 ],[219 ],[172 ],[57 ],[-16 ],[-52 ],[-64 ],[-62 ],[-77 ],[-97 ],[-98 ],[-80 ],[-68 ],[-62 ],[-83 ],[-87 ],[-73 ],[-73 ],[-90 ],[-111 ],[-99 ],[-112 ],[-124 ],[-118 ],[-100 ],[-77 ],[-49 ],[-56 ],[-76 ],[-84 ],[-79 ],[-72 ],[-66 ],[-69 ],[-49 ],[-28 ],[-67 ],[-94 ],[-121 ],[-115 ],[-129 ],[-120 ],[-118 ],[-106 ],[-93 ],[-110 ],[-100 ],[-69 ],[-72 ],[-100 ],[-94 ],[-88 ],[-84 ],[-76 ],[-68 ],[-85 ],[-103 ],[-94 ],[-95 ],[-85 ],[-83 ],[-97 ],[-128 ],[-124 ],[-101 ],[-93 ],[-93 ],[-102 ],[-92 ],[-109 ],[-102 ],[-92 ],[-78 ],[-68 ],[-66 ],[-88 ],[-78 ],[-89 ],[-108 ],[-113 ],[-90 ],[-89 ],[-86 ],[-90 ],[-102 ],[-96 ],[-118 ],[-142 ],[-121 ],[-85 ],[-80 ],[-66 ],[-42 ],[-49 ],[-57 ],[-58 ],[-70 ],[-79 ],[-85 ],[-57 ],[-53 ],[-74 ],[-83 ],[-79 ],[-81 ],[-96 ],[-103 ],[-114 ],[-77 ],[-61 ],[-84 ],[-101 ],[-114 ],[-123 ],[-103 ],[-91 ],[-86 ],[-88 ],[-106 ],[-110 ],[-95 ],[-113 ],[-116 ],[-97 ],[-98 ],[-120 ],[-119 ],[-103 ],[-99 ],[-108 ],[-120 ],[-102 ],[-82 ],[-101 ],[-95 ],[-101 ],[-118 ],[-108 ],[-94 ],[-77 ],[-76 ],[-98 ],[-108 ],[-77 ],[-65 ],[-85 ],[-83 ],[-95 ],[-111 ],[-119 ],[-101 ],[-70 ],[-72 ],[-92 ],[-92 ],[-86 ],[-61 ],[-45 ],[-48 ],[-66 ],[-79 ],[-93 ],[-102 ],[-97 ],[-109 ],[-114 ],[-118 ],[-103 ],[-86 ],[-68 ],[-45 ],[-65 ],[-100 ],[-118 ],[-104 ],[-97 ],[-107 ],[-118 ],[-136 ],[-149 ],[-148 ],[-123 ],[-107 ],[-107 ],[-127 ],[-143 ],[-135 ],[-118 ],[-92 ],[-92 ],[-95 ],[-117 ],[-95 ],[-106 ],[-95 ],[-88 ],[-104 ],[-94 ],[-90 ],[-74 ],[-74 ],[-82 ],[-86 ],[-104 ],[-134 ],[-137 ],[-128 ],[-112 ],[-105 ],[-122 ],[-123 ],[-110 ],[-110 ],[-132 ],[-142 ],[-101 ],[-76 ],[-82 ],[-83 ],[-73 ],[-66 ],[-66 ],[-65 ],[-88 ],[-122 ],[-118 ],[-88 ],[-88 ],[-105 ],[-122 ],[-119 ],[-101 ],[-109 ],[-97 ],[-84 ],[-78 ],[-84 ],[-76 ],[-91 ],[-110 ],[-124 ],[-119 ],[-108 ],[-104 ],[-97 ],[-90 ],[-89 ],[-86 ],[-95 ],[-93 ],[-63 ],[-56 ],[-57 ],[-70 ],[-90 ],[-107 ],[-101 ],[-126 ],[-147 ],[-127 ],[-95 ],[-91 ],[-87 ],[-82 ],[-106 ],[-103 ],[-83 ],[-98 ],[-87 ],[-93 ],[-101 ],[-88 ],[-89 ],[-89 ],[-94 ],[-78 ],[-61 ],[-68 ],[-71 ],[-75 ],[-67 ],[-74 ],[-65 ],[-74 ],[-82 ],[-65 ],[-86 ],[-103 ],[-104 ],[-120 ],[-115 ],[-99 ],[-81 ],[-71 ],[-70 ],[-76 ],[-64 ],[-56 ],[-73 ],[-97 ],[-101 ],[-97 ],[-96 ],[-83 ],[-82 ],[-103 ],[-103 ],[-85 ],[-101 ],[-100 ],[-112 ],[-112 ],[-88 ],[-70 ],[-73 ],[-68 ],[-64 ],[-86 ],[-97 ],[-93 ],[-76 ],[-61 ],[-81 ],[-96 ],[-76 ],[-77 ],[-67 ],[-48 ],[-57 ],[-68 ],[-88 ],[-97 ],[-114 ],[-116 ],[-105 ],[-76 ],[-80 ],[-89 ],[-90 ],[-104 ],[-110 ],[-91 ],[-73 ],[-82 ],[-130 ],[-145 ],[-123 ],[-94 ],[-67 ],[-45 ],[-54 ],[-68 ],[-72 ],[-78 ],[-81 ],[-89 ],[-77 ],[-67 ],[-80 ],[-96 ],[-70 ],[-88 ],[-109 ],[-91 ],[-73 ],[-49 ],[-59 ],[-59 ],[-69 ],[-59 ],[-66 ],[-97 ],[-91 ],[-66 ],[-69 ],[-74 ],[-89 ],[-92 ],[-90 ],[-102 ],[-113 ],[-118 ],[-128 ],[-90 ],[-75 ],[-82 ],[-87 ],[-95 ],[-99 ],[-103 ],[-111 ],[-126 ],[-144 ],[-118 ],[-111 ],[-117 ],[-81 ],[-48 ],[-70 ],[-102 ],[-124 ],[-95 ],[-81 ],[-71 ],[-78 ],[-86 ],[-94 ],[-89 ],[-89 ],[-74 ],[-60 ],[-66 ],[-80 ],[-66 ],[-71 ],[-81 ],[-89 ],[-100 ],[-92 ],[-83 ],[-101 ],[-89 ],[-59 ],[-51 ],[-55 ],[-47 ],[-55 ],[-56 ],[-69 ],[-77 ],[-85 ],[-118 ],[-105 ],[-74 ],[-68 ],[-57 ],[-44 ],[-62 ],[-81 ],[-82 ],[-118 ],[-128 ],[-117 ],[-84 ],[-52 ],[-41 ],[-46 ],[-46 ],[-65 ],[-106 ],[-120 ],[-93 ],[-75 ],[-76 ],[-95 ],[-85 ],[-91 ],[-112 ],[-106 ],[-91 ],[-86 ],[-91 ],[-80 ],[-74 ],[-81 ],[-72 ],[-71 ],[-89 ],[-114 ],[-122 ],[-120 ],[-105 ],[-91 ],[-55 ],[-56 ],[-63 ],[-64 ],[-77 ],[-87 ],[-88 ],[-91 ],[-90 ],[-89 ],[-77 ],[-30 ],[-18 ],[-56 ],[-123 ],[-155 ],[-143 ],[-123 ],[-95 ],[-73 ],[-61 ],[-80 ],[-89 ],[-104 ],[-128 ],[-123 ],[-99 ],[-59 ],[-48 ],[-71 ],[-114 ],[-125 ],[-135 ],[-114 ],[-121 ],[-115 ],[-98 ],[-83 ],[-51 ],[-52 ],[-73 ],[-72 ],[-73 ],[-59 ],[-53 ],[-63 ],[-75 ],[-80 ],[-115 ],[-119 ],[-94 ],[-82 ],[-86 ],[-99 ],[-103 ],[-110 ],[-109 ],[-127 ],[-123 ],[-113 ],[-104 ],[-100 ],[-102 ],[-101 ],[-92 ],[-77 ],[-85 ],[-86 ],[-52 ],[-50 ],[-42 ],[-54 ],[-67 ],[-81 ],[-80 ],[-65 ],[-71 ],[-95 ],[-105 ],[-123 ],[-130 ],[-134 ],[-125 ],[-88 ],[-80 ],[-89 ],[-82 ],[-63 ],[-52 ],[-71 ],[-82 ],[-73 ],[-51 ],[-49 ],[-58 ],[-63 ],[-81 ],[-82 ],[-95 ],[-106 ],[-111 ],[-114 ],[-115 ],[-84 ],[-77 ],[-98 ],[-89 ],[-78 ],[-74 ],[-99 ],[-119 ],[-114 ],[-81 ],[-69 ],[-66 ],[-74 ],[-112 ],[-111 ],[-88 ],[-95 ],[-110 ],[-112 ],[-89 ],[-87 ],[-109 ],[-95 ],[-64 ],[-76 ],[-82 ],[-76 ],[-77 ],[-82 ],[-90 ],[-93 ],[-101 ],[-114 ],[-111 ],[-118 ],[-116 ],[-140 ],[-145 ],[-103 ],[-65 ],[-80 ],[-75 ],[-99 ],[-106 ],[-99 ],[-105 ],[-108 ],[-110 ],[-104 ],[-72 ],[-53 ],[-58 ],[-81 ],[-97 ],[-107 ],[-127 ],[-117 ],[-109 ],[-103 ],[-103 ],[-108 ],[-87 ],[-77 ],[-85 ],[-126 ],[-133 ],[-113 ],[-103 ],[-100 ],[-73 ],[-60 ],[-94 ],[-81 ],[-54 ],[-67 ],[-90 ],[-89 ],[-102 ],[-98 ],[-85 ],[-88 ],[-113 ],[-114 ],[-64 ],[-54 ],[-66 ],[-67 ],[-80 ],[-97 ],[-91 ],[-83 ],[-57 ],[-84 ],[-109 ],[-109 ],[-112 ],[-114 ],[-130 ],[-128 ],[-88 ],[-89 ],[-92 ],[-77 ],[-89 ],[-108 ],[-106 ],[-106 ],[-94 ],[-91 ],[-105 ],[-99 ],[-89 ],[-82 ],[-67 ],[-67 ],[-70 ],[-71 ],[-69 ],[-63 ],[-66 ],[-89 ],[-91 ],[-97 ],[-84 ],[-72 ],[-68 ],[-74 ],[-68 ],[-55 ],[-56 ],[-64 ],[-90 ],[-77 ],[-60 ],[-54 ],[-50 ],[-72 ],[-105 ],[-107 ],[-83 ],[-68 ],[-72 ],[-104 ],[-110 ],[-94 ],[-76 ],[-87 ],[-99 ],[-74 ],[-73 ],[-68 ],[-66 ],[-52 ],[-39 ],[-58 ],[-76 ],[-82 ],[-58 ],[-74 ],[-107 ],[-109 ],[-100 ],[-89 ],[-60 ],[-47 ],[-72 ],[-76 ],[-83 ],[-101 ],[-109 ],[-97 ],[-79 ],[-74 ],[-85 ],[-89 ],[-96 ],[-72 ],[-64 ],[-77 ],[-77 ],[-65 ],[-57 ],[-70 ],[-117 ],[-128 ],[-108 ],[-81 ],[-87 ],[-109 ],[-82 ],[-71 ],[-65 ],[-79 ],[-90 ],[-107 ],[-126 ],[-128 ],[-105 ],[-108 ],[-97 ],[-80 ],[-97 ],[-108 ],[-84 ],[-83 ],[-66 ],[-67 ],[-84 ],[-100 ],[-122 ],[-105 ],[-80 ],[-51 ],[-35 ],[-37 ],[-50 ],[-75 ],[-104 ],[-100 ],[-75 ],[-73 ],[-88 ],[-60 ],[-56 ],[-46 ],[-50 ],[-83 ],[-94 ],[-65 ],[-64 ],[-81 ],[-87 ],[-112 ],[-103 ],[-89 ],[-83 ],[-74 ],[-60 ],[-47 ],[-31 ],[-49 ],[-78 ],[-72 ],[-96 ],[-84 ],[-70 ],[-97 ],[-113 ],[-87 ],[-76 ],[-102 ],[-121 ],[-111 ],[-131 ],[-152 ],[-147 ],[-131 ],[-102 ],[-109 ],[-98 ],[-60 ],[-53 ],[-69 ],[-62 ],[-69 ],[-92 ],[-65 ],[-46 ],[-74 ],[-102 ],[-129 ],[-140 ],[-120 ],[-82 ],[-96 ],[-110 ],[-96 ],[-58 ],[-59 ],[-71 ],[-77 ],[-69 ],[-46 ],[-55 ],[-89 ],[-84 ],[-88 ],[-91 ],[-81 ],[-68 ],[-69 ],[-61 ],[-60 ],[-83 ],[-84 ],[-68 ],[-70 ],[-68 ],[-48 ],[-58 ],[-103 ],[-122 ],[-79 ],[-55 ],[-55 ],[-61 ],[-69 ],[-67 ],[-88 ],[-101 ],[-83 ],[-77 ],[-67 ],[-74 ],[-92 ],[-74 ],[-51 ],[-35 ],[-33 ],[-47 ],[-42 ],[-64 ],[-94 ],[-92 ],[-80 ],[-79 ],[-81 ],[-80 ],[-98 ],[-96 ],[-109 ],[-108 ],[-108 ],[-101 ],[-99 ],[-86 ],[-76 ],[-87 ],[-81 ],[-50 ],[-56 ],[-68 ],[-87 ],[-101 ],[-136 ],[-148 ],[-121 ],[-99 ],[-82 ],[-77 ],[-77 ],[-78 ],[-77 ],[-92 ],[-107 ],[-107 ],[-83 ],[-67 ],[-75 ],[-102 ],[-108 ],[-105 ],[-87 ],[-73 ],[-65 ],[-84 ],[-90 ],[-96 ],[-82 ],[-69 ],[-81 ],[-101 ],[-101 ],[-115 ],[-127 ],[-106 ],[-76 ],[-45 ],[-48 ],[-61 ],[-67 ],[-57 ],[-64 ],[-80 ],[-96 ],[-88 ],[-59 ],[-59 ],[-93 ],[-112 ],[-102 ],[-104 ],[-96 ],[-81 ],[-77 ],[-43 ],[-21 ],[-45 ],[-88 ],[-107 ],[-80 ],[-63 ],[-72 ],[-76 ],[-69 ],[-66 ],[-62 ],[-78 ],[-106 ],[-142 ],[-138 ],[-103 ],[-88 ],[-106 ],[-113 ],[-98 ],[-81 ],[-90 ],[-107 ],[-139 ],[-119 ],[-100 ],[-96 ],[-69 ],[-67 ],[-80 ],[-81 ],[-73 ],[-80 ],[-89 ],[-93 ],[-65 ],[-44 ],[-41 ],[-42 ],[-55 ],[-96 ],[-105 ],[-82 ],[-74 ],[-87 ],[-78 ],[-55 ],[-69 ],[-78 ],[-52 ],[-41 ],[-39 ],[-45 ],[-67 ],[-69 ],[-78 ],[-90 ],[-87 ],[-68 ],[-72 ],[-89 ],[-109 ],[-81 ],[-58 ],[-72 ],[-78 ],[-82 ],[-87 ],[-93 ],[-108 ],[-122 ],[-83 ],[-63 ],[-59 ],[-47 ],[-88 ],[-121 ],[-116 ],[-111 ],[-85 ],[-67 ],[-72 ],[-50 ],[-53 ],[-72 ],[-84 ],[-88 ],[-85 ],[-87 ],[-122 ],[-131 ],[-111 ],[-105 ],[-95 ],[-98 ],[-107 ],[-106 ],[-93 ],[-100 ],[-104 ],[-85 ],[-64 ],[-58 ],[-80 ],[-95 ],[-87 ],[-76 ],[-71 ],[-73 ],[-86 ],[-97 ],[-96 ],[-109 ],[-100 ],[-88 ],[-80 ],[-66 ],[-72 ],[-61 ],[-41 ],[-49 ],[-62 ],[-79 ],[-91 ],[-88 ],[-97 ],[-106 ],[-106 ],[-92 ],[-70 ],[-65 ],[-63 ],[-85 ],[-88 ],[-92 ],[-81 ],[-85 ],[-99 ],[-114 ],[-95 ],[-97 ],[-106 ],[-87 ],[-40 ],[-47 ],[-56 ],[-41 ],[-50 ],[-63 ],[-76 ],[-78 ],[-99 ],[-108 ],[-119 ],[-121 ],[-111 ],[-83 ],[-53 ],[-55 ],[-54 ],[-60 ],[-74 ],[-88 ],[-76 ],[-68 ],[-61 ],[-52 ],[-50 ],[-66 ],[-76 ],[-79 ],[-62 ],[-85 ],[-83 ],[-85 ],[-57 ],[-29 ],[-45 ],[-69 ],[-77 ],[-56 ],[-52 ],[-73 ],[-101 ],[-123 ],[-114 ],[-96 ],[-66 ],[-36 ],[-42 ],[-81 ],[-87 ],[-97 ],[-107 ],[-97 ],[-114 ],[-92 ],[-78 ],[-86 ],[-74 ],[-61 ],[-70 ],[-74 ],[-80 ],[-92 ],[-112 ],[-118 ],[-91 ],[-83 ],[-89 ],[-101 ],[-123 ],[-132 ],[-102 ],[-60 ],[-64 ],[-80 ],[-100 ],[-91 ],[-96 ],[-88 ],[-68 ],[-51 ],[-31 ],[-32 ],[-50 ],[-72 ],[-91 ],[-114 ],[-105 ],[-90 ],[-63 ],[-25 ],[-44 ],[-67 ],[-76 ],[-106 ],[-115 ],[-93 ],[-102 ],[-110 ],[-114 ],[-95 ],[-82 ],[-104 ],[-109 ],[-110 ],[-119 ],[-112 ],[-96 ],[-57 ],[-51 ],[-64 ],[-63 ],[-69 ],[-62 ],[-57 ],[-75 ],[-108 ],[-108 ],[-97 ],[-99 ],[-79 ],[-79 ],[-101 ],[-97 ],[-58 ],[-50 ],[-64 ],[-93 ],[-102 ],[-80 ],[-52 ],[-64 ],[-59 ],[-70 ],[-62 ],[-72 ],[-92 ],[-102 ],[-100 ],[-103 ],[-81 ],[-95 ],[-107 ],[-103 ],[-75 ],[-80 ],[-76 ],[-73 ],[-82 ],[-77 ],[-71 ],[-63 ],[-65 ],[-75 ],[-63 ],[-71 ],[-94 ],[-105 ],[-91 ],[-83 ],[-86 ],[-81 ],[-78 ],[-66 ],[-83 ],[-69 ],[-54 ],[-48 ],[-79 ],[-63 ],[-74 ],[-90 ],[-96 ],[-80 ],[-73 ],[-58 ],[-48 ],[-43 ],[-53 ],[-46 ],[-58 ],[-67 ],[-62 ],[-69 ],[-76 ],[-88 ],[-87 ],[-74 ],[-75 ],[-75 ],[-80 ],[-74 ],[-68 ],[-75 ],[-79 ],[-69 ],[-57 ],[-57 ],[-43 ],[-59 ],[-62 ],[-44 ],[-59 ],[-71 ],[-83 ],[-98 ],[-90 ],[-106 ],[-113 ],[-106 ],[-98 ],[-97 ],[-92 ],[-77 ],[-79 ],[-110 ],[-99 ],[-81 ],[-93 ],[-101 ],[-100 ],[-88 ],[-101 ],[-94 ],[-56 ],[-65 ],[-63 ],[-61 ],[-71 ],[-51 ],[-45 ],[-60 ],[-70 ],[-77 ],[-67 ],[-70 ],[-92 ],[-75 ],[-46 ],[-57 ],[-76 ],[-91 ],[-105 ],[-115 ],[-129 ],[-141 ],[-111 ],[-73 ],[-59 ],[-43 ],[-53 ],[-70 ],[-78 ],[-68 ],[-62 ],[-73 ],[-99 ],[-96 ],[-91 ],[-81 ],[-70 ],[-97 ],[-97 ],[-80 ],[-88 ],[-89 ],[-65 ],[-65 ],[-79 ],[-83 ],[-74 ],[-71 ],[-91 ],[-92 ],[-92 ],[-85 ],[-70 ],[-56 ],[-67 ],[-67 ],[-84 ],[-116 ],[-132 ],[-113 ],[-112 ],[-95 ],[-79 ],[-69 ],[-52 ],[-64 ],[-80 ],[-85 ],[-77 ],[-88 ],[-86 ],[-77 ],[-69 ],[-74 ],[-69 ],[-57 ],[-56 ],[-64 ],[-73 ],[-75 ],[-64 ],[-66 ],[-62 ],[-86 ],[-89 ],[-84 ],[-72 ],[-67 ],[-66 ],[-68 ],[-72 ],[-73 ],[-68 ],[-63 ],[-70 ],[-81 ],[-77 ],[-71 ],[-80 ],[-86 ],[-103 ],[-95 ],[-77 ],[-58 ],[-66 ],[-72 ],[-64 ],[-63 ],[-72 ],[-72 ],[-58 ],[-46 ],[-35 ],[-58 ],[-60 ],[-79 ],[-81 ],[-77 ],[-96 ],[-97 ],[-95 ],[-86 ],[-81 ],[-86 ],[-90 ],[-75 ],[-33 ],[-31 ],[-31 ],[-71 ],[-87 ],[-93 ],[-82 ],[-76 ],[-94 ],[-88 ],[-93 ],[-71 ],[-78 ],[-98 ],[-77 ],[-74 ],[-86 ],[-83 ],[-91 ],[-106 ],[-83 ],[-59 ],[-62 ],[-87 ],[-93 ],[-70 ],[-73 ],[-66 ],[-67 ],[-93 ],[-79 ],[-55 ],[-49 ],[-67 ],[-80 ],[-67 ],[-50 ],[-38 ],[-67 ],[-87 ],[-69 ],[-46 ],[-40 ],[-49 ],[-55 ],[-53 ],[-58 ],[-61 ],[-77 ],[-81 ],[-50 ],[-32 ],[-54 ],[-82 ],[-106 ],[-100 ],[-85 ],[-85 ],[-67 ],[-55 ],[-52 ],[-47 ],[-71 ],[-68 ],[-63 ],[-54 ],[-52 ],[-54 ],[-57 ],[-74 ],[-83 ],[-73 ],[-78 ],[-82 ],[-80 ],[-87 ],[-93 ],[-69 ],[-56 ],[-73 ],[-74 ],[-65 ],[-75 ],[-68 ],[-69 ],[-60 ],[-77 ],[-82 ],[-77 ],[-67 ],[-52 ],[-57 ],[-80 ],[-110 ],[-92 ],[-76 ],[-76 ],[-83 ],[-82 ],[-54 ],[-29 ],[-35 ],[-30 ],[-44 ],[-54 ],[-81 ],[-81 ],[-60 ],[-68 ],[-61 ],[-59 ],[-59 ],[-45 ],[-56 ],[-63 ],[-89 ],[-97 ],[-89 ],[-92 ],[-101 ],[-95 ],[-83 ],[-94 ],[-91 ],[-100 ],[-90 ],[-56 ],[-38 ],[-42 ],[-60 ],[-97 ],[-112 ],[-83 ],[-61 ],[-63 ],[-69 ],[-101 ],[-114 ],[-117 ],[-97 ],[-91 ],[-83 ],[-83 ],[-72 ],[-78 ],[-78 ],[-79 ],[-97 ],[-114 ],[-109 ],[-87 ],[-79 ],[-84 ],[-77 ],[-79 ],[-63 ],[-73 ],[-69 ],[-55 ],[-54 ],[-76 ],[-95 ],[-122 ],[-95 ],[-53 ],[-37 ],[-45 ],[-70 ],[-74 ],[-72 ],[-97 ],[-112 ],[-135 ],[-117 ],[-79 ],[-75 ],[-76 ],[-52 ],[-59 ],[-38 ],[-39 ],[-69 ],[-82 ],[-79 ],[-67 ],[-98 ],[-130 ],[-115 ],[-85 ],[-77 ],[-100 ],[-90 ],[-61 ],[-54 ],[-58 ],[-76 ],[-85 ],[-66 ],[-47 ],[-38 ],[-35 ],[-36 ],[-40 ],[-65 ],[-73 ],[-74 ],[-60 ],[-42 ],[-60 ],[-45 ],[-25 ],[-47 ],[-68 ],[-70 ],[-67 ],[-61 ],[-72 ],[-52 ],[-58 ],[-78 ],[-67 ],[-59 ],[-64 ],[-60 ],[-66 ],[-112 ],[-143 ],[-135 ],[-127 ],[-105 ],[-98 ],[-65 ],[-70 ],[-90 ],[-64 ],[-48 ],[-73 ],[-77 ],[-69 ],[-64 ],[-88 ],[-110 ],[-103 ],[-112 ],[-94 ],[-81 ],[-79 ],[-67 ],[-49 ],[-50 ],[-57 ],[-54 ],[-61 ],[-77 ],[-66 ],[-58 ],[-61 ],[-69 ],[-74 ],[-63 ],[-75 ],[-95 ],[-96 ],[-78 ],[-61 ],[-57 ],[-72 ],[-87 ],[-91 ],[-91 ],[-79 ],[-70 ],[-76 ],[-68 ],[-72 ],[-73 ],[-60 ],[-68 ],[-86 ],[-91 ],[-70 ],[-68 ],[-77 ],[-110 ],[-110 ],[-89 ],[-100 ],[-101 ],[-109 ],[-109 ],[-83 ],[-83 ],[-85 ],[-78 ],[-60 ],[-68 ],[-60 ],[-60 ],[-63 ],[-69 ],[-81 ],[-67 ],[-45 ],[-33 ],[-33 ],[-48 ],[-57 ],[-74 ],[-62 ],[-56 ],[-62 ],[-56 ],[-43 ],[-40 ],[-47 ],[-69 ],[-68 ],[-75 ],[-87 ],[-102 ],[-86 ],[-81 ],[-79 ],[-91 ],[-48 ],[-40 ],[-76 ],[-97 ],[-83 ],[-68 ],[-71 ],[-74 ],[-72 ],[-66 ],[-42 ],[-41 ],[-68 ],[-67 ],[-62 ],[-73 ],[-82 ],[-89 ],[-80 ],[-95 ],[-103 ],[-86 ],[-97 ],[-94 ],[-79 ],[-82 ],[-89 ],[-114 ],[-116 ],[-94 ],[-96 ],[-93 ],[-99 ],[-123 ],[-110 ],[-106 ],[-110 ],[-102 ],[-83 ],[-69 ],[-57 ],[-54 ],[-55 ],[-60 ],[-66 ],[-55 ],[-69 ],[-68 ],[-72 ],[-77 ],[-82 ],[-95 ],[-80 ],[-77 ],[-90 ],[-96 ],[-78 ],[-57 ],[-22 ],[-8 ],[-9 ],[-18 ],[-48 ],[-55 ],[-54 ],[-32 ],[-46 ],[-71 ],[-91 ],[-103 ],[-109 ],[-106 ],[-85 ],[-84 ],[-54 ],[-43 ],[-60 ],[-61 ],[-63 ],[-59 ],[-65 ],[-67 ],[-76 ],[-75 ],[-66 ],[-64 ],[-81 ],[-91 ],[-75 ],[-79 ],[-94 ],[-100 ],[-120 ],[-98 ],[-80 ],[-79 ],[-81 ],[-81 ],[-77 ],[-72 ],[-45 ],[-41 ],[-50 ],[-67 ],[-92 ],[-109 ],[-109 ],[-112 ],[-101 ],[-98 ],[-83 ],[-73 ],[-53 ],[-60 ],[-87 ],[-92 ],[-94 ],[-67 ],[-41 ],[-50 ],[-56 ],[-67 ],[-69 ],[-51 ],[-51 ],[-83 ],[-113 ],[-99 ],[-94 ],[-82 ],[-45 ],[-38 ],[-68 ],[-106 ],[-104 ],[-80 ],[-66 ],[-77 ],[-95 ],[-68 ],[-44 ],[-51 ],[-68 ],[-75 ],[-79 ],[-82 ],[-101 ],[-96 ],[-85 ],[-108 ],[-105 ],[-88 ],[-96 ],[-106 ],[-111 ],[-77 ],[-60 ],[-69 ],[-78 ],[-72 ],[-57 ],[-52 ],[-57 ],[-57 ],[-71 ],[-83 ],[-80 ],[-93 ],[-122 ],[-133 ],[-105 ],[-67 ],[-71 ],[-88 ],[-88 ],[-98 ],[-95 ],[-87 ],[-76 ],[-65 ],[-95 ],[-124 ],[-104 ],[-69 ],[-60 ],[-59 ],[-64 ],[-67 ],[-86 ],[-88 ],[-77 ],[-55 ],[-66 ],[-74 ],[-61 ],[-33 ],[-48 ],[-45 ],[-31 ],[-40 ],[-79 ],[-82 ],[-81 ],[-88 ],[-80 ],[-68 ],[-54 ],[-57 ],[-78 ],[-96 ],[-82 ],[-67 ],[-47 ],[-59 ],[-72 ],[-75 ],[-51 ],[-60 ],[-74 ],[-66 ],[-63 ],[-48 ],[-68 ],[-84 ],[-85 ],[-72 ],[-64 ],[-67 ],[-69 ],[-39 ],[-30 ],[-56 ],[-65 ],[-72 ],[-75 ],[-64 ],[-53 ],[-51 ],[-61 ],[-57 ],[-56 ],[-85 ],[-89 ],[-82 ],[-80 ],[-79 ],[-77 ],[-85 ],[-80 ],[-105 ],[-97 ],[-81 ],[-74 ],[-94 ],[-82 ],[-61 ],[-43 ],[-47 ],[-47 ],[-81 ],[-60 ],[-61 ],[-98 ],[-128 ],[-106 ],[-78 ],[-78 ],[-82 ],[-76 ],[-77 ],[-89 ],[-67 ],[-69 ],[-82 ],[-76 ],[-91 ],[-120 ],[-129 ],[-98 ],[-67 ],[-68 ],[-74 ],[-81 ],[-81 ],[-84 ],[-106 ],[-90 ],[-67 ],[-68 ],[-82 ],[-91 ],[-100 ],[-97 ],[-92 ],[-87 ],[-100 ],[-109 ],[-91 ],[-71 ],[-77 ],[-80 ],[-77 ],[-67 ],[-65 ],[-74 ],[-72 ],[-47 ],[-55 ],[-76 ],[-63 ],[-53 ],[-43 ],[-61 ],[-80 ],[-58 ],[-52 ],[-39 ],[-28 ],[-11 ],[-35 ],[-39 ],[-54 ],[-82 ],[-91 ],[-86 ],[-76 ],[-87 ],[-94 ],[-110 ],[-98 ],[-94 ],[-103 ],[-110 ],[-90 ],[-75 ],[-58 ],[-58 ],[-41 ],[-65 ],[-73 ],[-53 ],[-50 ],[-40 ],[-39 ],[-41 ],[-41 ],[-59 ],[-73 ],[-88 ],[-83 ],[-72 ],[-71 ],[-46 ],[-54 ],[-93 ],[-105 ],[-89 ],[-70 ],[-86 ],[-79 ],[-87 ],[-82 ],[-90 ],[-91 ],[-68 ],[-54 ],[-73 ],[-102 ],[-104 ],[-84 ],[-92 ],[-121 ],[-124 ],[-100 ],[-64 ],[-47 ],[-29 ],[-14 ],[-33 ],[-64 ],[-80 ],[-75 ],[-74 ],[-84 ],[-74 ],[-72 ],[-54 ],[-35 ],[-30 ],[-40 ],[-75 ],[-110 ],[-84 ],[-65 ],[-59 ],[-92 ],[-106 ],[-91 ],[-71 ],[-65 ],[-65 ],[-66 ],[-64 ],[-65 ],[-75 ],[-92 ],[-97 ],[-83 ],[-76 ],[-80 ],[-58 ],[-67 ],[-67 ],[-72 ],[-77 ],[-57 ],[-36 ],[-38 ],[-51 ],[-42 ],[-64 ],[-73 ],[-50 ],[-43 ],[-40 ],[-45 ],[-41 ],[-63 ],[-71 ],[-69 ],[-90 ],[-83 ],[-63 ],[-53 ],[-52 ],[-44 ],[-43 ],[-58 ],[-65 ],[-81 ],[-94 ],[-119 ],[-127 ],[-104 ],[-71 ],[-69 ],[-61 ],[-62 ],[-64 ],[-76 ],[-77 ],[-71 ],[-72 ],[-102 ],[-122 ],[-105 ],[-87 ],[-70 ],[-47 ],[-63 ],[-57 ],[-40 ],[-59 ],[-58 ],[-56 ],[-59 ],[-69 ],[-81 ],[-101 ],[-83 ],[-61 ],[-72 ],[-61 ],[-46 ],[-52 ],[-46 ],[-49 ],[-76 ],[-59 ],[-50 ],[-60 ],[-67 ],[-83 ],[-96 ],[-52 ],[-20 ],[-44 ],[-59 ],[-56 ],[-79 ],[-100 ],[-77 ],[-79 ],[-55 ],[-49 ],[-46 ],[-39 ],[-55 ],[-73 ],[-89 ],[-57 ],[-51 ],[-78 ],[-81 ],[-89 ],[-97 ],[-109 ],[-93 ],[-64 ],[-53 ],[-40 ],[-46 ],[-62 ],[-80 ],[-83 ],[-54 ],[-51 ],[-62 ],[-59 ],[-73 ],[-80 ],[-102 ],[-105 ],[-87 ],[-81 ],[-90 ],[-78 ],[-52 ],[-40 ],[-33 ],[-35 ],[-43 ],[-50 ],[-66 ],[-62 ],[-67 ],[-73 ],[-67 ],[-55 ],[-50 ],[-35 ],[-54 ],[-73 ],[-83 ],[-81 ],[-92 ],[-92 ],[-81 ],[-95 ],[-99 ],[-72 ],[-50 ],[-52 ],[-65 ],[-64 ],[-85 ],[-86 ],[-94 ],[-99 ],[-78 ],[-79 ],[-85 ],[-85 ],[-61 ],[-53 ],[-59 ],[-79 ],[-83 ],[-75 ],[-82 ],[-86 ],[-80 ],[-59 ],[-74 ],[-100 ],[-97 ],[-45 ],[-29 ],[-51 ],[-65 ],[-53 ],[-67 ],[-78 ],[-63 ],[-56 ],[-48 ],[-62 ],[-74 ],[-87 ],[-74 ],[-64 ],[-54 ],[-65 ],[-74 ],[-84 ],[-77 ],[-59 ],[-79 ],[-77 ],[-67 ],[-69 ],[-99 ],[-112 ],[-93 ],[-79 ],[-59 ],[-50 ],[-45 ],[-55 ],[-48 ],[-44 ],[-73 ],[-88 ],[-86 ],[-72 ],[-76 ],[-80 ],[-81 ],[-79 ],[-88 ],[-83 ],[-58 ],[-79 ],[-78 ],[-57 ],[-65 ],[-52 ],[-46 ],[-34 ],[-50 ],[-74 ],[-60 ],[-37 ],[-40 ],[-49 ],[-51 ],[-41 ],[-53 ],[-70 ],[-70 ],[-34 ],[-50 ],[-64 ],[-55 ],[-45 ],[-61 ],[-97 ],[-90 ],[-67 ],[-40 ],[-52 ],[-40 ],[-36 ],[-50 ],[-63 ],[-67 ],[-73 ],[-58 ],[-63 ],[-69 ],[-70 ],[-65 ],[-63 ],[-93 ],[-83 ],[-76 ],[-82 ],[-87 ],[-82 ],[-72 ],[-72 ],[-100 ],[-105 ],[-106 ],[-80 ],[-80 ],[-87 ],[-91 ],[-70 ],[-54 ],[-54 ],[-57 ],[-81 ],[-90 ],[-71 ],[-64 ],[-60 ],[-38 ],[-46 ],[-78 ],[-106 ],[-87 ],[-88 ],[-76 ],[-86 ],[-103 ],[-105 ],[-113 ],[-94 ],[-70 ],[-67 ],[-74 ],[-61 ],[-45 ],[-27 ],[-42 ],[-72 ],[-94 ],[-89 ],[-81 ],[-73 ],[-94 ],[-96 ],[-90 ],[-90 ],[-86 ],[-94 ],[-75 ],[-78 ],[-73 ],[-40 ],[-30 ],[-24 ],[-42 ],[-78 ],[-97 ],[-106 ],[-101 ],[-79 ],[-59 ],[-66 ],[-74 ],[-76 ],[-82 ],[-84 ],[-71 ],[-63 ],[-52 ],[-32 ],[-45 ],[-67 ],[-76 ],[-68 ],[-68 ],[-83 ],[-76 ],[-91 ],[-109 ],[-80 ],[-51 ],[-42 ],[-54 ],[-59 ],[-63 ],[-49 ],[-40 ],[-55 ],[-45 ],[-24 ],[-22 ],[-50 ],[-78 ],[-99 ],[-108 ],[-101 ],[-90 ],[-67 ],[-73 ],[-76 ],[-87 ],[-75 ],[-82 ],[-95 ],[-86 ],[-55 ],[-58 ],[-49 ],[-49 ],[-62 ],[-59 ],[-68 ],[-79 ],[-66 ],[-29 ],[-8 ],[-25 ],[-56 ],[-79 ],[-76 ],[-66 ],[-72 ],[-69 ],[-63 ],[-74 ],[-84 ],[-58 ],[-36 ],[-29 ],[-30 ],[-43 ],[-71 ],[-99 ],[-101 ],[-89 ],[-56 ],[-59 ],[-55 ],[-68 ],[-57 ],[-67 ],[-73 ],[-58 ],[-56 ],[-59 ],[-66 ],[-80 ],[-87 ],[-77 ],[-85 ],[-86 ],[-69 ],[-57 ],[-49 ],[-45 ],[-54 ],[-77 ],[-104 ],[-123 ],[-113 ],[-108 ],[-111 ],[-90 ],[-72 ],[-46 ],[-45 ],[-48 ],[-62 ],[-69 ],[-62 ],[-50 ],[-59 ],[-72 ],[-73 ],[-80 ],[-81 ],[-66 ],[-39 ],[-52 ],[-58 ],[-59 ],[-69 ],[-50 ],[-20 ],[-28 ],[-51 ],[-82 ],[-73 ],[-54 ],[-54 ],[-48 ],[-53 ],[-74 ],[-63 ],[-59 ],[-76 ],[-90 ],[-104 ],[-92 ],[-82 ],[-73 ],[-60 ],[-55 ],[-67 ],[-81 ],[-73 ],[-73 ],[-61 ],[-61 ],[-87 ],[-102 ],[-87 ],[-101 ],[-75 ],[-62 ],[-61 ],[-75 ],[-61 ],[-51 ],[-61 ],[-58 ],[-50 ],[-37 ],[-32 ],[-32 ],[-35 ],[-27 ],[-33 ],[-65 ],[-65 ],[-57 ],[-52 ],[-40 ],[-34 ],[-64 ],[-98 ],[-117 ],[-118 ],[-122 ],[-122 ],[-111 ],[-101 ],[-72 ],[-65 ],[-54 ],[-62 ],[-65 ],[-75 ],[-83 ],[-78 ],[-79 ],[-69 ],[-40 ],[-35 ],[-50 ],[-56 ],[-61 ],[-42 ],[-23 ],[-29 ],[-27 ],[-36 ],[-77 ],[-87 ],[-96 ],[-91 ],[-69 ],[-64 ],[-80 ],[-83 ],[-85 ],[-87 ],[-85 ],[-92 ],[-104 ],[-105 ],[-108 ],[-92 ],[-70 ],[-64 ],[-54 ],[-51 ],[-70 ],[-74 ],[-83 ],[-80 ],[-61 ],[-41 ],[-35 ],[-47 ],[-42 ],[-53 ],[-77 ],[-65 ],[-43 ],[-63 ],[-75 ],[-72 ],[-64 ],[-61 ],[-48 ],[-41 ],[-34 ],[6 ],[-7 ],[-43 ],[-49 ],[-79 ],[-85 ],[-63 ],[-50 ],[-57 ],[-60 ],[-54 ],[-27 ],[-21 ],[-20 ],[-36 ],[-56 ],[-53 ],[-48 ],[-42 ],[-75 ],[-81 ],[-76 ],[-88 ],[-69 ],[-39 ],[-44 ],[-78 ],[-80 ],[-57 ],[-52 ],[-77 ],[-85 ],[-57 ],[-57 ],[-60 ],[-53 ],[-57 ],[-71 ],[-72 ],[-70 ],[-58 ],[-56 ],[-67 ],[-96 ],[-109 ],[-92 ],[-97 ],[-90 ],[-64 ],[-45 ],[-55 ],[-57 ],[-50 ],[-85 ],[-99 ],[-79 ],[-64 ],[-63 ],[-80 ],[-93 ],[-87 ],[-61 ],[-49 ],[-55 ],[-51 ],[-46 ],[-52 ],[-43 ],[-62 ],[-71 ],[-97 ],[-93 ],[-71 ],[-62 ],[-53 ],[-41 ],[-40 ],[-39 ],[-56 ],[-77 ],[-71 ],[-51 ],[-37 ],[-45 ],[-55 ],[-65 ],[-40 ],[-30 ],[-49 ],[-83 ],[-85 ],[-88 ],[-103 ],[-102 ],[-86 ],[-64 ],[-47 ],[-64 ],[-60 ],[-50 ],[-55 ],[-60 ],[-74 ],[-94 ],[-89 ],[-79 ],[-62 ],[-53 ],[-60 ],[-46 ],[-41 ],[-49 ],[-70 ],[-70 ],[-72 ],[-77 ],[-70 ],[-54 ],[-61 ],[-66 ],[-60 ],[-48 ],[-49 ],[-69 ],[-47 ],[-34 ],[-26 ],[-44 ],[-82 ],[-97 ],[-99 ],[-87 ],[-73 ],[-67 ],[-75 ],[-88 ],[-81 ],[-65 ],[-63 ],[-60 ],[-56 ],[-75 ],[-71 ],[-68 ],[-100 ],[-129 ],[-148 ],[-138 ],[-100 ],[-74 ],[-67 ],[-57 ],[-38 ],[-47 ],[-57 ],[-83 ],[-89 ],[-92 ],[-98 ],[-80 ],[-81 ],[-91 ],[-54 ],[-36 ],[-55 ],[-75 ],[-75 ],[-74 ],[-73 ],[-66 ],[-85 ],[-95 ],[-98 ],[-93 ],[-88 ],[-93 ],[-104 ],[-86 ],[-76 ],[-89 ],[-98 ],[-111 ],[-113 ],[-102 ],[-101 ],[-81 ],[-63 ],[-49 ],[-62 ],[-81 ],[-85 ],[-72 ],[-56 ],[-61 ],[-61 ],[-65 ],[-78 ],[-75 ],[-102 ],[-108 ],[-86 ],[-54 ],[-34 ],[-57 ],[-67 ],[-74 ],[-89 ],[-97 ],[-86 ],[-64 ],[-72 ],[-58 ],[-59 ],[-71 ],[-64 ],[-68 ],[-87 ],[-107 ],[-111 ],[-91 ],[-96 ],[-92 ],[-81 ],[-102 ],[-105 ],[-79 ],[-44 ],[-19 ],[-18 ],[-46 ],[-58 ],[-57 ],[-59 ],[-49 ],[-47 ],[-42 ],[-30 ],[-15 ],[-45 ],[-66 ],[-62 ],[-71 ],[-74 ],[-71 ],[-46 ],[-65 ],[-67 ],[-32 ],[-39 ],[-74 ],[-74 ],[-71 ],[-47 ],[-47 ],[-49 ],[-48 ],[-54 ],[-48 ],[-55 ],[-66 ],[-76 ],[-50 ],[-33 ],[-76 ],[-96 ],[-111 ],[-111 ],[-103 ],[-90 ],[-84 ],[-73 ],[-66 ],[-68 ],[-68 ],[-51 ],[-37 ],[-50 ],[-89 ],[-99 ],[-83 ],[-48 ],[-29 ],[-46 ],[-56 ],[-74 ],[-82 ],[-84 ],[-83 ],[-75 ],[-43 ],[-35 ],[-56 ],[-95 ],[-81 ],[-74 ],[-70 ],[-72 ],[-85 ],[-95 ],[-94 ],[-83 ],[-87 ],[-96 ],[-69 ],[-65 ],[-67 ],[-30 ],[-32 ],[-55 ],[-70 ],[-80 ],[-53 ],[-54 ],[-62 ],[-63 ],[-66 ],[-59 ],[-68 ],[-71 ],[-69 ],[-52 ],[-64 ],[-76 ],[-43 ],[-29 ],[-41 ],[-64 ],[-102 ],[-125 ],[-137 ],[-119 ],[-103 ],[-98 ],[-84 ],[-74 ],[-60 ],[-62 ],[-61 ],[-45 ],[-52 ],[-61 ],[-57 ],[-46 ],[-49 ],[-68 ],[-68 ],[-77 ],[-92 ],[-96 ],[-96 ],[-68 ],[-78 ],[-83 ],[-99 ],[-100 ],[-70 ],[-61 ],[-59 ],[-57 ],[-76 ],[-90 ],[-117 ],[-110 ],[-118 ],[-96 ],[-65 ],[-54 ],[-45 ],[-66 ],[-70 ],[-55 ],[-51 ],[-39 ],[-42 ],[-44 ],[-68 ],[-98 ],[-104 ],[-120 ],[-110 ],[-99 ],[-108 ],[-90 ],[-98 ],[-113 ],[-106 ],[-89 ],[-71 ],[-82 ],[-77 ],[-64 ],[-74 ],[-86 ],[-84 ],[-54 ],[-39 ],[-50 ],[-69 ],[-78 ],[-78 ],[-90 ],[-88 ],[-79 ],[-67 ],[-72 ],[-53 ],[-59 ],[-67 ],[-45 ],[-38 ],[-64 ],[-92 ],[-91 ],[-77 ],[-77 ],[-94 ],[-66 ],[-76 ],[-83 ],[-90 ],[-84 ],[-54 ],[-60 ],[-62 ],[-60 ],[-46 ],[-43 ],[-49 ],[-68 ],[-87 ],[-76 ],[-71 ],[-89 ],[-84 ],[-74 ],[-81 ],[-89 ],[-107 ],[-87 ],[-63 ],[-47 ],[-56 ],[-70 ],[-75 ],[-74 ],[-65 ],[-68 ],[-46 ],[-36 ],[-49 ],[-57 ],[-71 ],[-50 ],[-39 ],[-42 ],[-54 ],[-83 ],[-111 ],[-102 ],[-76 ],[-59 ],[-68 ],[-76 ],[-86 ],[-93 ],[-98 ],[-99 ],[-75 ],[-91 ],[-84 ],[-69 ],[-62 ],[-59 ],[-63 ],[-85 ],[-103 ],[-127 ],[-142 ],[-121 ],[-97 ],[-85 ],[-28 ],[-25 ],[-34 ],[-62 ],[-80 ],[-65 ],[-67 ],[-84 ],[-76 ],[-59 ],[-41 ],[-51 ],[-64 ],[-69 ],[-74 ],[-68 ],[-68 ],[-66 ],[-59 ],[-69 ],[-58 ],[-62 ],[-48 ],[-58 ],[-74 ],[-89 ],[-109 ],[-87 ],[-76 ],[-96 ],[-109 ],[-116 ],[-91 ],[-95 ],[-96 ],[-92 ],[-72 ],[-68 ],[-69 ],[-56 ],[-70 ],[-70 ],[-76 ],[-99 ],[-108 ],[-106 ],[-89 ],[-83 ],[-57 ],[-42 ],[-60 ],[-78 ],[-69 ],[-41 ],[-23 ],[-43 ],[-40 ],[-69 ],[-81 ],[-97 ],[-112 ],[-113 ],[-106 ],[-80 ],[-79 ],[-84 ],[-88 ],[-71 ],[-60 ],[-50 ],[-40 ],[-26 ],[-50 ],[-60 ],[-70 ],[-66 ],[-85 ],[-97 ],[-95 ],[-98 ],[-82 ],[-87 ],[-70 ],[-58 ],[-62 ],[-58 ],[-82 ],[-83 ],[-89 ],[-75 ],[-45 ],[-47 ],[-60 ],[-69 ],[-64 ],[-35 ],[-51 ],[-66 ],[-83 ],[-91 ],[-79 ],[-70 ],[-75 ],[-61 ],[-31 ],[-40 ],[-53 ],[-46 ],[-47 ],[-34 ],[-59 ],[-61 ],[-56 ],[-58 ],[-63 ],[-93 ],[-79 ],[-65 ],[-68 ],[-60 ],[-63 ],[-77 ],[-96 ],[-99 ],[-116 ],[-130 ],[-119 ],[-101 ],[-85 ],[-64 ],[-48 ],[-63 ],[-99 ],[-99 ],[-93 ],[-86 ],[-96 ],[-97 ],[-93 ],[-84 ],[-74 ],[-89 ],[-88 ],[-69 ],[]
| 名称 | グラフ | 説明 |
|---|---|---|
| 指数関数 |
|
python
+
matplotlib
|
| 逆ネルンスト |
|
電池の充放電曲線で現れます。 |
| 確率曲線 |
|
|
| 正規分布関数 |
|
確率統計で多用されます。 品質管理 でも大切です。 |
| 数式 | 意味 | 説明 |
|---|---|---|
| 一次関数 直線 |
数に量の意味はありません。 変数 には、x,y,zのようにアルファベットの後ろの方を使い 定数には、a,b,cのようにアルファベットの前の方を使います。 デカルト座標系では、 図形を表します。 座標の数に量を割り当てたものをグラフやチャートと呼びます。 |
|
|
|
気体の状態方程式 1662~1802 | 左辺 pV が 仕事、 右辺nRTが熱量で、 エネルギー収支を表す量方程式です。 量方程式なので量を単位で割った数値を代入したり求めたりします。 |
|
|
ネルンストの式 1889 | |
|
|
ボルツマンの式 1877 |
数式には、インドアラビア数字、 ラテン文字、 ギリシャ文字、記号など多くの文字が現れます。 文字の多くは、数を表現します。量を数で表現している場合もあります。
数式は、量との量の関係を表現しているので、グラフにできます。
数式で数値を求めるときは、量を単位で割ってから代入します。このような数式を量方程式あるいは 量式*と言います。 単位が指定された数式を 数値方程式 と言います。単位の定義が変わると 数値方程式 の係数も変わります。 文献に記載された 数値方程式 を使う場合は、単位の定義がいつのものなのかを確認する必要があります。
コンピュータ上では直接数式を表現できないため、 TeXを使います。 MathMLを使います。
👨🏫 数式の表現、量の表現 👨🏫 ウルフラムアルファ(WolframAlpha) 👨🏫 計算式のページ(フォーム)動画、音声及び写真を含む図表等を転載する場合には転載許諾書による同意があった方が無難です。 動画、音声及び写真を含む図表等の転載許諾書