René Chrétien werd geïnspireerd door Barnard's 8x8x8 Nasik cube en maakte een gelijksoortige 16x16x16 Nasik magische kubus. Speciale magische eigenschap is, dat je opeenvolgende getallen kunt terugvinden via de paardensprong van het schaakspel.
De magische kubus kan opgesplitst worden in twee patronen. Het eerste patroon bestaat uit een 16x16 magisch vierkant, waarin je de paardensprongen reeds kunt zien. Het tweede patroon bestaat uit de getallen 0 t/m 15.
Neem 1x getal vanuit 1e patroon
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121 |
96 |
50 |
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|
112 |
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4 |
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97 |
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133 |
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|
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67 |
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98 |
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|
9 |
||||||||||||||||
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|
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||||||||||||||||
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||||||||||||||||
245 |
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||||||||||||||||
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|
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||||||||||||||||
16 |
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|
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|
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|
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|
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9 |
160 |
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108 |
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8 |
|
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117 |
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144 |
162 |
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|
14 |
||||||||||||||||
252 |
102 |
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1 |
159 |
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245 |
107 |
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|
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130 |
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118 |
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56 |
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229 |
123 |
87 |
57 |
|
213 |
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2 |
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246 |
106 |
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|
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131 |
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119 |
89 |
64 |
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122 |
88 |
|
188 |
214 |
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104 |
65 |
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3 |
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247 |
105 |
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34 |
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|
96 |
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120 |
81 |
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97 |
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|
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|
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111 |
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98 |
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|
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|
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|
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7 |
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|
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227 |
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|
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|
129 |
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144 |
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124 |
86 |
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24 |
|
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||||||||||||||||
252 |
102 |
74 |
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1 |
159 |
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245 |
107 |
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146 |
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|
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130 |
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56 |
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57 |
|
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|
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89 |
64 |
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88 |
|
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104 |
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105 |
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|
96 |
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120 |
81 |
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|
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97 |
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|
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82 |
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232 |
|
12 |
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111 |
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5 |
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98 |
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|
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134 |
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83 |
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|
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6 |
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99 |
77 |
|
193 |
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27 |
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208 |
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84 |
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138 |
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|
76 |
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152 |
177 |
223 |
243 |
109 |
69 |
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7 |
153 |
192 |
210 |
254 |
100 |
|
176 |
194 |
238 |
116 |
92 |
54 |
26 |
136 |
161 |
207 |
227 |
125 |
85 |
59 |
23 |
137 |
|
101 |
75 |
39 |
9 |
160 |
178 |
222 |
244 |
108 |
70 |
42 |
8 |
145 |
191 |
211 |
253 |
|
129 |
175 |
195 |
237 |
117 |
91 |
55 |
25 |
144 |
162 |
206 |
228 |
124 |
86 |
58 |
24 |
|
16 |
||||||||||||||||
1 |
159 |
179 |
221 |
245 |
107 |
71 |
41 |
16 |
146 |
190 |
212 |
252 |
102 |
74 |
40 |
|
236 |
118 |
90 |
56 |
17 |
143 |
163 |
205 |
229 |
123 |
87 |
57 |
32 |
130 |
174 |
196 |
|
48 |
2 |
158 |
180 |
220 |
246 |
106 |
72 |
33 |
15 |
147 |
189 |
213 |
251 |
103 |
73 |
|
197 |
235 |
119 |
89 |
64 |
18 |
142 |
164 |
204 |
230 |
122 |
88 |
49 |
31 |
131 |
173 |
|
65 |
47 |
3 |
157 |
181 |
219 |
247 |
105 |
80 |
34 |
14 |
148 |
188 |
214 |
250 |
104 |
|
172 |
198 |
234 |
120 |
81 |
63 |
19 |
141 |
165 |
203 |
231 |
121 |
96 |
50 |
30 |
132 |
|
112 |
66 |
46 |
4 |
156 |
182 |
218 |
248 |
97 |
79 |
35 |
13 |
149 |
187 |
215 |
249 |
|
133 |
171 |
199 |
233 |
128 |
82 |
62 |
20 |
140 |
166 |
202 |
232 |
113 |
95 |
51 |
29 |
|
241 |
111 |
67 |
45 |
5 |
155 |
183 |
217 |
256 |
98 |
78 |
36 |
12 |
150 |
186 |
216 |
|
28 |
134 |
170 |
200 |
225 |
127 |
83 |
61 |
21 |
139 |
167 |
201 |
240 |
114 |
94 |
52 |
|
224 |
242 |
110 |
68 |
44 |
6 |
154 |
184 |
209 |
255 |
99 |
77 |
37 |
11 |
151 |
185 |
|
53 |
27 |
135 |
169 |
208 |
226 |
126 |
84 |
60 |
22 |
138 |
168 |
193 |
239 |
115 |
93 |
|
177 |
223 |
243 |
109 |
69 |
43 |
7 |
153 |
192 |
210 |
254 |
100 |
76 |
38 |
10 |
152 |
|
92 |
54 |
26 |
136 |
161 |
207 |
227 |
125 |
85 |
59 |
23 |
137 |
176 |
194 |
238 |
116 |
|
160 |
178 |
222 |
244 |
108 |
70 |
42 |
8 |
145 |
191 |
211 |
253 |
101 |
75 |
39 |
9 |
|
117 |
91 |
55 |
25 |
144 |
162 |
206 |
228 |
124 |
86 |
58 |
24 |
129 |
175 |
195 |
237 |
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10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
|
15 |
||||||||||||||||
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
|
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
|
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
|
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
|
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
|
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
|
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
|
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
|
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
|
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
|
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
|
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
|
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
|
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
|
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
9 |
13 |
6 |
2 |
|
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
0 |
11 |
15 |
4 |
|
16 |
||||||||||||||||
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
|
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
|
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
|
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
|
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
|
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
|
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
|
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
|
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
|
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
|
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
|
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
|
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
|
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
|
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
5 |
1 |
10 |
14 |
|
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
7 |
3 |
8 |
12 |
= René Chrétiens's 16x16x16 paardensprong Nasik kubus
1 |
||||||||||||||||
1 |
2975 |
4019 |
1245 |
245 |
2923 |
3911 |
1065 |
16 |
2962 |
4030 |
1236 |
252 |
2918 |
3914 |
1064 |
|
748 |
2422 |
3418 |
1592 |
529 |
2447 |
3491 |
1741 |
741 |
2427 |
3415 |
1593 |
544 |
2434 |
3502 |
1732 |
|
1072 |
2 |
2974 |
4020 |
1244 |
246 |
2922 |
3912 |
1057 |
15 |
2963 |
4029 |
1237 |
251 |
2919 |
3913 |
|
1733 |
747 |
2423 |
3417 |
1600 |
530 |
2446 |
3492 |
1740 |
742 |
2426 |
3416 |
1585 |
543 |
2435 |
3501 |
|
3905 |
1071 |
3 |
2973 |
4021 |
1243 |
247 |
2921 |
3920 |
1058 |
14 |
2964 |
4028 |
1238 |
250 |
2920 |
|
3500 |
1734 |
746 |
2424 |
3409 |
1599 |
531 |
2445 |
3493 |
1739 |
743 |
2425 |
3424 |
1586 |
542 |
2436 |
|
2928 |
3906 |
1070 |
4 |
2972 |
4022 |
1242 |
248 |
2913 |
3919 |
1059 |
13 |
2965 |
4027 |
1239 |
249 |
|
2437 |
3499 |
1735 |
745 |
2432 |
3410 |
1598 |
532 |
2444 |
3494 |
1738 |
744 |
2417 |
3423 |
1587 |
541 |
|
241 |
2927 |
3907 |
1069 |
5 |
2971 |
4023 |
1241 |
256 |
2914 |
3918 |
1060 |
12 |
2966 |
4026 |
1240 |
|
540 |
2438 |
3498 |
1736 |
737 |
2431 |
3411 |
1597 |
533 |
2443 |
3495 |
1737 |
752 |
2418 |
3422 |
1588 |
|
1248 |
242 |
2926 |
3908 |
1068 |
6 |
2970 |
4024 |
1233 |
255 |
2915 |
3917 |
1061 |
11 |
2967 |
4025 |
|
1589 |
539 |
2439 |
3497 |
1744 |
738 |
2430 |
3412 |
1596 |
534 |
2442 |
3496 |
1729 |
751 |
2419 |
3421 |
|
4017 |
1247 |
243 |
2925 |
3909 |
1067 |
7 |
2969 |
4032 |
1234 |
254 |
2916 |
3916 |
1062 |
10 |
2968 |
|
3420 |
1590 |
538 |
2440 |
3489 |
1743 |
739 |
2429 |
3413 |
1595 |
535 |
2441 |
3504 |
1730 |
750 |
2420 |
|
2976 |
4018 |
1246 |
244 |
2924 |
3910 |
1066 |
8 |
2961 |
4031 |
1235 |
253 |
2917 |
3915 |
1063 |
9 |
|
2421 |
3419 |
1591 |
537 |
2448 |
3490 |
1742 |
740 |
2428 |
3414 |
1594 |
536 |
2433 |
3503 |
1731 |
749 |
|
2 |
||||||||||||||||
2037 |
875 |
2119 |
3113 |
1808 |
914 |
2238 |
3284 |
2044 |
870 |
2122 |
3112 |
1793 |
927 |
2227 |
3293 |
|
3601 |
1423 |
419 |
2765 |
3813 |
1403 |
343 |
2617 |
3616 |
1410 |
430 |
2756 |
3820 |
1398 |
346 |
2616 |
|
3292 |
2038 |
874 |
2120 |
3105 |
1807 |
915 |
2237 |
3285 |
2043 |
871 |
2121 |
3120 |
1794 |
926 |
2228 |
|
2624 |
3602 |
1422 |
420 |
2764 |
3814 |
1402 |
344 |
2609 |
3615 |
1411 |
429 |
2757 |
3819 |
1399 |
345 |
|
2229 |
3291 |
2039 |
873 |
2128 |
3106 |
1806 |
916 |
2236 |
3286 |
2042 |
872 |
2113 |
3119 |
1795 |
925 |
|
337 |
2623 |
3603 |
1421 |
421 |
2763 |
3815 |
1401 |
352 |
2610 |
3614 |
1412 |
428 |
2758 |
3818 |
1400 |
|
924 |
2230 |
3290 |
2040 |
865 |
2127 |
3107 |
1805 |
917 |
2235 |
3287 |
2041 |
880 |
2114 |
3118 |
1796 |
|
1408 |
338 |
2622 |
3604 |
1420 |
422 |
2762 |
3816 |
1393 |
351 |
2611 |
3613 |
1413 |
427 |
2759 |
3817 |
|
1797 |
923 |
2231 |
3289 |
2048 |
866 |
2126 |
3108 |
1804 |
918 |
2234 |
3288 |
2033 |
879 |
2115 |
3117 |
|
3809 |
1407 |
339 |
2621 |
3605 |
1419 |
423 |
2761 |
3824 |
1394 |
350 |
2612 |
3612 |
1414 |
426 |
2760 |
|
3116 |
1798 |
922 |
2232 |
3281 |
2047 |
867 |
2125 |
3109 |
1803 |
919 |
2233 |
3296 |
2034 |
878 |
2116 |
|
2768 |
3810 |
1406 |
340 |
2620 |
3606 |
1418 |
424 |
2753 |
3823 |
1395 |
349 |
2613 |
3611 |
1415 |
425 |
|
2117 |
3115 |
1799 |
921 |
2240 |
3282 |
2046 |
868 |
2124 |
3110 |
1802 |
920 |
2225 |
3295 |
2035 |
877 |
|
417 |
2767 |
3811 |
1405 |
341 |
2619 |
3607 |
1417 |
432 |
2754 |
3822 |
1396 |
348 |
2614 |
3610 |
1416 |
|
876 |
2118 |
3114 |
1800 |
913 |
2239 |
3283 |
2045 |
869 |
2123 |
3111 |
1801 |
928 |
2226 |
3294 |
2036 |
|
1424 |
418 |
2766 |
3812 |
1404 |
342 |
2618 |
3608 |
1409 |
431 |
2755 |
3821 |
1397 |
347 |
2615 |
3609 |
|
3 |
||||||||||||||||
2549 |
3435 |
1607 |
553 |
2320 |
3474 |
1726 |
724 |
2556 |
3430 |
1610 |
552 |
2305 |
3487 |
1715 |
733 |
|
17 |
2959 |
4003 |
1229 |
229 |
2939 |
3927 |
1081 |
32 |
2946 |
4014 |
1220 |
236 |
2934 |
3930 |
1080 |
|
732 |
2550 |
3434 |
1608 |
545 |
2319 |
3475 |
1725 |
725 |
2555 |
3431 |
1609 |
560 |
2306 |
3486 |
1716 |
|
1088 |
18 |
2958 |
4004 |
1228 |
230 |
2938 |
3928 |
1073 |
31 |
2947 |
4013 |
1221 |
235 |
2935 |
3929 |
|
1717 |
731 |
2551 |
3433 |
1616 |
546 |
2318 |
3476 |
1724 |
726 |
2554 |
3432 |
1601 |
559 |
2307 |
3485 |
|
3921 |
1087 |
19 |
2957 |
4005 |
1227 |
231 |
2937 |
3936 |
1074 |
30 |
2948 |
4012 |
1222 |
234 |
2936 |
|
3484 |
1718 |
730 |
2552 |
3425 |
1615 |
547 |
2317 |
3477 |
1723 |
727 |
2553 |
3440 |
1602 |
558 |
2308 |
|
2944 |
3922 |
1086 |
20 |
2956 |
4006 |
1226 |
232 |
2929 |
3935 |
1075 |
29 |
2949 |
4011 |
1223 |
233 |
|
2309 |
3483 |
1719 |
729 |
2560 |
3426 |
1614 |
548 |
2316 |
3478 |
1722 |
728 |
2545 |
3439 |
1603 |
557 |
|
225 |
2943 |
3923 |
1085 |
21 |
2955 |
4007 |
1225 |
240 |
2930 |
3934 |
1076 |
28 |
2950 |
4010 |
1224 |
|
556 |
2310 |
3482 |
1720 |
721 |
2559 |
3427 |
1613 |
549 |
2315 |
3479 |
1721 |
736 |
2546 |
3438 |
1604 |
|
1232 |
226 |
2942 |
3924 |
1084 |
22 |
2954 |
4008 |
1217 |
239 |
2931 |
3933 |
1077 |
27 |
2951 |
4009 |
|
1605 |
555 |
2311 |
3481 |
1728 |
722 |
2558 |
3428 |
1612 |
550 |
2314 |
3480 |
1713 |
735 |
2547 |
3437 |
|
4001 |
1231 |
227 |
2941 |
3925 |
1083 |
23 |
2953 |
4016 |
1218 |
238 |
2932 |
3932 |
1078 |
26 |
2952 |
|
3436 |
1606 |
554 |
2312 |
3473 |
1727 |
723 |
2557 |
3429 |
1611 |
551 |
2313 |
3488 |
1714 |
734 |
2548 |
|
2960 |
4002 |
1230 |
228 |
2940 |
3926 |
1082 |
24 |
2945 |
4015 |
1219 |
237 |
2933 |
3931 |
1079 |
25 |
|
4 |
||||||||||||||||
1296 |
402 |
2750 |
3796 |
1532 |
358 |
2634 |
3624 |
1281 |
415 |
2739 |
3805 |
1525 |
363 |
2631 |
3625 |
|
2021 |
891 |
2135 |
3129 |
1824 |
898 |
2222 |
3268 |
2028 |
886 |
2138 |
3128 |
1809 |
911 |
2211 |
3277 |
|
3617 |
1295 |
403 |
2749 |
3797 |
1531 |
359 |
2633 |
3632 |
1282 |
414 |
2740 |
3804 |
1526 |
362 |
2632 |
|
3276 |
2022 |
890 |
2136 |
3121 |
1823 |
899 |
2221 |
3269 |
2027 |
887 |
2137 |
3136 |
1810 |
910 |
2212 |
|
2640 |
3618 |
1294 |
404 |
2748 |
3798 |
1530 |
360 |
2625 |
3631 |
1283 |
413 |
2741 |
3803 |
1527 |
361 |
|
2213 |
3275 |
2023 |
889 |
2144 |
3122 |
1822 |
900 |
2220 |
3270 |
2026 |
888 |
2129 |
3135 |
1811 |
909 |
|
353 |
2639 |
3619 |
1293 |
405 |
2747 |
3799 |
1529 |
368 |
2626 |
3630 |
1284 |
412 |
2742 |
3802 |
1528 |
|
908 |
2214 |
3274 |
2024 |
881 |
2143 |
3123 |
1821 |
901 |
2219 |
3271 |
2025 |
896 |
2130 |
3134 |
1812 |
|
1536 |
354 |
2638 |
3620 |
1292 |
406 |
2746 |
3800 |
1521 |
367 |
2627 |
3629 |
1285 |
411 |
2743 |
3801 |
|
1813 |
907 |
2215 |
3273 |
2032 |
882 |
2142 |
3124 |
1820 |
902 |
2218 |
3272 |
2017 |
895 |
2131 |
3133 |
|
3793 |
1535 |
355 |
2637 |
3621 |
1291 |
407 |
2745 |
3808 |
1522 |
366 |
2628 |
3628 |
1286 |
410 |
2744 |
|
3132 |
1814 |
906 |
2216 |
3265 |
2031 |
883 |
2141 |
3125 |
1819 |
903 |
2217 |
3280 |
2018 |
894 |
2132 |
|
2752 |
3794 |
1534 |
356 |
2636 |
3622 |
1290 |
408 |
2737 |
3807 |
1523 |
365 |
2629 |
3627 |
1287 |
409 |
|
2133 |
3131 |
1815 |
905 |
2224 |
3266 |
2030 |
884 |
2140 |
3126 |
1818 |
904 |
2209 |
3279 |
2019 |
893 |
|
401 |
2751 |
3795 |
1533 |
357 |
2635 |
3623 |
1289 |
416 |
2738 |
3806 |
1524 |
364 |
2630 |
3626 |
1288 |
|
892 |
2134 |
3130 |
1816 |
897 |
2223 |
3267 |
2029 |
885 |
2139 |
3127 |
1817 |
912 |
2210 |
3278 |
2020 |
|
5 |
||||||||||||||||
2832 |
3986 |
1214 |
212 |
3068 |
3942 |
1098 |
40 |
2817 |
3999 |
1203 |
221 |
3061 |
3947 |
1095 |
41 |
|
2533 |
3451 |
1623 |
569 |
2336 |
3458 |
1710 |
708 |
2540 |
3446 |
1626 |
568 |
2321 |
3471 |
1699 |
717 |
|
33 |
2831 |
3987 |
1213 |
213 |
3067 |
3943 |
1097 |
48 |
2818 |
3998 |
1204 |
220 |
3062 |
3946 |
1096 |
|
716 |
2534 |
3450 |
1624 |
561 |
2335 |
3459 |
1709 |
709 |
2539 |
3447 |
1625 |
576 |
2322 |
3470 |
1700 |
|
1104 |
34 |
2830 |
3988 |
1212 |
214 |
3066 |
3944 |
1089 |
47 |
2819 |
3997 |
1205 |
219 |
3063 |
3945 |
|
1701 |
715 |
2535 |
3449 |
1632 |
562 |
2334 |
3460 |
1708 |
710 |
2538 |
3448 |
1617 |
575 |
2323 |
3469 |
|