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#1 Re: Help Me ! » How To Find The Formula Of This Permutations? » 2009-04-22 01:50:55
Hi integer,
I'm so sorry for being late to answer you, because there's no notification to my e-mail.
Someone has made a program in Java like this:
import java.util.*;
public class Table {
static Scanner console = new Scanner(System.in);
public static void main (String[] args)
{
String list = "010509131721252933374145495357616569737702030406070810111214" +
"151618192022232426272830313234353638394042434446474850515254" +
"5556585960626364666768707172747576787980818283848586878889909192";
String number;
int counter = 0;
int counter2 = 0;
int randomNumber = 0;
Vector row_selection = new Vector();
Vector row_0 = new Vector();
Vector row_1 = new Vector();
Vector row_2 = new Vector();
Vector row_3 = new Vector();
Vector row_4 = new Vector();
Vector row_5 = new Vector();
Vector row_6 = new Vector();
Vector row_7 = new Vector();
Vector row_8 = new Vector();
Vector row_9 = new Vector();
for (counter2=0; counter2<40;)
{
//-----------------------------------------------------------------------
for (counter=0; counter<10; counter++)
{
do{randomNumber = (int) (10 * Math.random());}
while(randomNumber == 10);
row_selection.addElement(randomNumber);
}
//-----------------------------------------------------------------------
for (counter=0; counter<10;)
{
number = list.substring(counter2, counter2 + 2);
if (row_selection.indexOf(counter) != -1)
{
if (counter2 >= 20 && counter2 <30)
{
switch (counter)
{
case 0:
if(row_0.indexOf("21",0) != -1)
{
row_0.insertElementAt(number, (row_0.indexOf("21",0)));
}
else
{
row_0.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 1:
if(row_1.indexOf("21",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("21",0)));
}
else if (row_1.indexOf("25",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("25",0)));
}
else if (row_1.indexOf("29",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("29",0)));
}
else if (row_1.indexOf("33",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("33",0)));
}
else if (row_1.indexOf("37",0) != -1)
{
row_1.insertElementAt(number, (row_1.indexOf("37",0)));
}
else
{
row_1.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 2:
if(row_2.indexOf("21",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("21",0)));
}
else if (row_2.indexOf("25",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("25",0)));
}
else if (row_2.indexOf("29",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("29",0)));
}
else if (row_2.indexOf("33",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("33",0)));
}
else if (row_2.indexOf("37",0) != -1)
{
row_2.insertElementAt(number, (row_2.indexOf("37",0)));
}
else
{
row_2.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 3:
if(row_3.indexOf("21",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("21",0)));
}
else if (row_3.indexOf("25",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("25",0)));
}
else if (row_3.indexOf("29",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("29",0)));
}
else if (row_3.indexOf("33",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("33",0)));
}
else if (row_3.indexOf("37",0) != -1)
{
row_3.insertElementAt(number, (row_3.indexOf("37",0)));
}
else
{
row_3.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 4:
if(row_4.indexOf("21",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("21",0)));
}
else if (row_4.indexOf("25",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("25",0)));
}
else if (row_4.indexOf("29",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("29",0)));
}
else if (row_4.indexOf("33",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("33",0)));
}
else if (row_4.indexOf("37",0) != -1)
{
row_4.insertElementAt(number, (row_4.indexOf("37",0)));
}
else
{
row_4.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 5:
if(row_5.indexOf("21",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("21",0)));
}
else if (row_5.indexOf("25",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("25",0)));
}
else if (row_5.indexOf("29",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("29",0)));
}
else if (row_5.indexOf("33",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("33",0)));
}
else if (row_5.indexOf("37",0) != -1)
{
row_5.insertElementAt(number, (row_5.indexOf("37",0)));
}
else
{
row_5.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 6:
if(row_6.indexOf("21",0) != -1)
{
row_6.insertElementAt(number, (row_1.indexOf("21",0)));
}
else if (row_6.indexOf("25",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("25",0)));
}
else if (row_6.indexOf("29",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("29",0)));
}
else if (row_6.indexOf("33",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("33",0)));
}
else if (row_6.indexOf("37",0) != -1)
{
row_6.insertElementAt(number, (row_6.indexOf("37",0)));
}
else
{
row_6.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 7:
if(row_7.indexOf("21",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("21",0)));
}
else if (row_7.indexOf("25",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("25",0)));
}
else if (row_7.indexOf("29",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("29",0)));
}
else if (row_7.indexOf("33",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("33",0)));
}
else if (row_7.indexOf("37",0) != -1)
{
row_7.insertElementAt(number, (row_7.indexOf("37",0)));
}
else
{
row_7.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 8:
if(row_8.indexOf("21",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("21",0)));
}
else if (row_8.indexOf("25",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("25",0)));
}
else if (row_8.indexOf("29",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("29",0)));
}
else if (row_8.indexOf("33",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("33",0)));
}
else if (row_8.indexOf("37",0) != -1)
{
row_8.insertElementAt(number, (row_8.indexOf("37",0)));
}
else
{
row_8.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 9:
if(row_9.indexOf("21",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("21",0)));
}
else if (row_9.indexOf("25",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("25",0)));
}
else if (row_9.indexOf("29",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("29",0)));
}
else if (row_9.indexOf("33",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("33",0)));
}
else if (row_9.indexOf("37",0) != -1)
{
row_9.insertElementAt(number, (row_9.indexOf("37",0)));
}
else
{
row_9.addElement(number);
}
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
}
}
else{
switch (counter)
{
case 0:
row_0.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 1:
row_1.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 2:
row_2.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 3:
row_3.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 4:
row_4.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 5:
row_5.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 6:
row_6.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 7:
row_7.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 8:
row_8.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
case 9:
row_9.addElement(number);
row_selection.removeElementAt(row_selection.indexOf(counter));
counter2 = counter2 + 2;
break;
}
}
}
else {counter++;}
}
}
//-----------------------------------------------------------------------
System.out.println(" 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20");
System.out.println("-------------------------------------------------------------------------------");
System.out.println(row_0);
System.out.println(row_1);
System.out.println(row_2);
System.out.println(row_3);
System.out.println(row_4);
System.out.println("-------------------------------------------------------------------------------");
System.out.println(row_5);
System.out.println(row_6);
System.out.println(row_7);
System.out.println(row_8);
System.out.println(row_9);
}
}But it didn't work correctly yet in order to result tables like I put at Mediafire.com (a file hosting service) name Enigma.xls:
http://www.mediafire.com/?sharekey=12a93ace84ea3ab56b21be4093fab7ace04e75f6e8ebb871
The clues can be found here:
http://community.boredofstudies.org/238/appreciating-beauty-elegance-extracurricular-topics/206286/how-find-formula-permutations.html#post4240925
Thx.
#2 Help Me ! » How To Find The Formula Of This Permutations? » 2009-04-05 00:29:02
- wustvn
- Replies: 2
Hi to all of you guys here
May this thread fits on this section. A friend of mine gave me this enigma. It is written in Excel format. Since here I cant attach .xls file, I don't know how to put the file, name Enigma.xls.
There are infinite amount of tables (Table 1, Table 2, Table 3,
, Table 100, Table 101, etc), with ten rows (row 0,1,2,
.9) each. Inside of each tables, there are numbers from 1 to 92, 93 to 184, 185 to 276, and 277 to 284, which lying on their certain rows. Here I gave the example tables that have been filled in for 40 tables. By finding the patterns/ formulas, my friend asked me to extend the tables to fill in the blank tables 41,42,43,etc as given beneath of Table 40. Just like SUDOKU, in each tables there will be no same numbers vertically, horizontally and diagonally. If these tables are using permutations from an ideal table that you can see beneath Table 43 (supposed the ideal table was right), then how to find the formulas of its permutations?
Can somebody help me about this?
Thx.
Hope my English is good enough for explaining this.
#3 Puzzles and Games » Can You See The Patterns..? » 2008-07-21 00:59:50
- wustvn
- Replies: 0
Hello to all of you guys,
Is there any of you can help me finding the relationships/patterns of table that I attach at : unforum? (file name: puzle.pdf)
(The table consist of 100 rows and 20 columns, contains of numbers 0-9).
Thank's.
EDIT:
Maybe this clues, that I've found so far, can help?
Assume:
# 1-350 as rows, #1-20 as columns.
Number 5 in row 1, column 2 repeated again in row 2, column 2.
Number 6 in row 1, column 3/4 repeated again in row 2, column 4.
Number 8 in row 1, column 6/8 repeated again in row 2, column 5/8.
Number 7 in row 1, column 9 repeated again in row 2, column 11.
Number 3 in row 1, column 11 repeated again in row 2, column 12.
Number 8 in row 1, column 12 repeated again in row 2, column 9.
Number 9 in row 1, column 14/15 repeated again in row 2, column 16.
Number 4 in row 1, column 19/20 repeated again in row 2, column 17.
Number 8 in row 2, column 5/8 repeated again in row 3, column 8.
Number 7 in row 2, column 11 repeated again in row 3, column 11.
Number 4 in row 2, column 17 repeated again in row 3, column 18.
Number 9 in row 2, column 20 repeated again in row 3, column 20.
Number 8 in row 3 column 8 repeated again in row 4, column 6.
Number 0 in row 3, column 10 repeated again in row 4, column 12.
Number 5 in row 3, column 12 repeated again in row 4, column 10.
Number 2 in row 3, column 13 repeated again in row 4, column 13.
Number 6 in row 3, column 17 repeated again in row 4, column 18.
Number 4 in row 3, column 18 repeated again in row 4, column 20.
Number 5 in row 3, column 19 repeated again in row 4, column 19.
Temporary conclusion:
There's at least one number repeated to next row (if the tables is seen by every four columns), but sometimes there's no repeated numbers at all (such as column 1,2,3,4 row 1 to row 2).
PS: Some data were missing in row 165.
#4 Re: Puzzles and Games » Numbers in Tables : Part 2 » 2007-11-17 21:40:16
I need to write again here what Ive been doing to this puzzle, though this had been written partly in other forum. I assume you guys have seen the file sept09A.xls.
Im not a puzzle mania, this puzzle just disturbs my mind. So to those whoever interested in this puzzle, I THINK the tables in my explanation below are the keys of this puzzle because:
1).Their shapes are quite different from other tables, where numbers 1 to 40 are only in certain rows. Especially in Table 45, numbers 1 to 40 are only in rows 1 & 10. (This can also approve that this is not a random case. Do you guys agree with that?). Meanwhile for other tables, numbers 1 to 40 spread almost in rows 1 to 10.
2).These tables have similar shapes each other.
E.g:
Table 45 has similar shape with Table 49 & Table 53.
Table 57 has similar shape with Table 61 & Table 65.
Here below I think tables that have similar shapes:
45,57,69,81,93,105,117,129,141,153,165,177,189,201,213,225,237,249,261,2 73.
with
49,61,73,85,97,109,121,133,145,157,169,181,193,205,217,229,241,253,265,2 77.
and
53,65,77,89,101,113,125,137,149,161,173,185,197,209,221,233,245,257,269, 281.
These tables themselves look similar.
E.g:
Table 49 looks similar with Table 169.
Table 73 looks similar with Table 193.
Here below I think tables look similar:
49,73,97,121,145,53,77,101,125,149,57,81,105,129,153,61,85,109,133,157,6 5,89,113,137,161,69,93,117,141,45
with
169,193,217,241,265,173,197,221,245,269,177,201,225,249,273,181,205,229, 253,277,185,209,233,257,281,189,213,237,261,165
Next time Ill try to explain more details about the gray areas (my approaching method) as shown in Table 1, sheet #1, file sept09A.xls.
Yeah, for its big sizes, this puzzle is really tough. Needs geniuses to crack it, at least above averages
#5 Puzzles and Games » Numbers in Tables : Part 2 » 2007-10-20 19:00:43
- wustvn
- Replies: 1
Hello to all of you guys here...
I'd like to post a number puzzle, which had been brought to many forums, but yet nobody can work it out properly. I'm not a puzzles mania, this just really disturbs my mind. I hope you guys here can help me.
This number puzzle is in .xls file format. It looks like SUDOKU/HITORI. Since here I can't attach .xls file (686 KB), I put it (name: sept09A.xls) at:
http://217.174.252.57/JForum-2.1.6/posts/list/1359.page
(Don't worry this is being a spam ).
There are tables contain of 10 rows (1,2,3,...,10) each.
Each tables contains of numbers, which here I give example 1 to 40, that should be found its relationships/patterns, so the next numbers can be placed correctly in a certain rows in each tables.
In EACH tables, each numbers appears just one time and there will be no same numbers vertically, horizontally and diagonally.
Tables 1-20 in sheet #2, Tables 21-32 in sheet #3, Tables 33-44 in sheet #4,..., Tables 273-284 in sheet #24.
I name and arrange the tables just like that, though you can do else.
In sheet #1 you can see Tables 1-20 have been filled with numbers 1 to 350.
In sheet #25 you can see that total amount of the numbers in each rows are almost its average, so this isn't random and it should have a solution, shouldn't it?
(I hope this can explain the problems clearly).
Thank you to those who want to pay attentions and interested in this puzzle.
P.S:
1. Because of their similar shapes, in sheet #26 & #27 I rearranged the tables that I think could be the "keys" of this puzzle.
2. This "big sizes" puzzle is tough, (artistic?) and really needs hard thinking...
Best regards
Steven Wu
Bali - Indonesia
#6 Puzzles and Games » Numbers in Tables (Reward US $ 70) » 2007-09-25 19:57:35
- wustvn
- Replies: 1
I have 20 puzzle tables (1,2,3,
,20) that contain of 10 rows (1,2,3,
,10) each. There are numbers 1,2,3,4,
in each of every tables, which has a unique position to every rows.
I am just wondering if you can help me how to find the relations between them, so the next number 351,352,353,
can be placed correctly. Here I attach the tables completely.
The first one find the answer shall be rewarded US $ 70.
Thank you very much for your attention.
Sincerely yours,
Steven Wu
Bali, Indonesia.
Table 1
1. 7 8 10 24 27 30 39 42 43 69 74 78 144 151 154 157 170 178 196 212 214 217 226 228 233 237 238 241 247 251 252 278 293 326 329 330 342 343 347
2. 9 16 22 26 31 51 53 62 79 82 88 92 104 109 118 121 130 140 171 173 184 240 248 249 259 265 266 267 280 288 291 292 308 312 316 317 331 350
3. 4 5 6 49 50 60 61 77 80 81 86 116 120 122 129 143 145 150 153 155 158 160 163 167 179 180 183 192 204 209 211 230 234 236 245 262 268 273 295 296 322 336 338 345 348
4. 2 17 18 32 41 55 57 59 96 124 125 126 159 174 181 195 200 201 205 206 218 242 254 256 258 263 264 305 307 318 321 327 333 335 337 341
5. 34 35 46 54 83 85 87 101 106 123 156 166 185 189 190 191 193 215 221 239 250 272 279 282 286 287 294 298 300 301 304 309 310 320 325
6. 12 33 38 56 67 68 95 111 114 131 133 162 164 172 177 182 208 232 246 269 281 332 339 349
7. 15 21 23 36 40 44 48 58 63 64 89 93 98 102 105 128 135 139 146 147 148 169 187 197 210 224 253 261 297 299 302 306 328 340
8. 11 25 37 52 70 72 73 94 107 110 119 136 137 141 161 165 175 186 202 203 207 220 222 229 244 270 271 276 285 303 311 314 315 319
9. 13 14 29 47 65 84 100 115 117 132 134 138 168 176 194 199 213 216 219 223 227 231 243 283 289 290 323 324 334 346
10. 1 3 19 20 28 45 66 71 75 76 90 91 97 99 103 108 112 113 127 142 149 152 188 198 225 235 255 257 260 274 275 277 284 313 344
Table 2
1. 24 52 56 71 84 85 110 121 124 145 148 150 155 169 170 173 177 190 195 199 205 209 218 236 263 268 299 303 331 338
2. 17 20 28 29 31 38 51 87 90 93 100 104 137 142 161 162 180 189 192 211 215 219 238 239 246 251 260 274 281 300 315 321 347 348
3. 5 9 10 14 34 42 44 47 68 70 95 98 101 112 113 119 120 122 140 153 154 158 171 172 183 186 191 194 208 237 292 273 280 289 292 302 307 320 325 328 334 345
4. 4 13 18 27 39 43 61 63 64 80 82 92 106 109 116 123 128 130 151 163 229 259 275 276 286 314 330 333
5. 1 2 7 8 23 33 37 45 48 54 58 69 74 76 77 81 83 103 118 127 146 152 159 174 178 184 185 200 202 203 207 213 230 253 258 267 278 288 296 301 313
6. 6 25 49 57 73 105 139 141 149 156 157 164 175 187 206 210 231 242 243 245 248 257 266 270 291 310 312 324 332 339 343 349
7. 12 22 26 40 50 62 66 72 88 96 126 129 132 135 144 167 181 188 193 216 217 221 224 235 241 254 265 269 287 290 298 306 317 318 326 335 340 341 342
8. 36 41 46 53 65 75 79 94 99 108 111 125 131 138 143 147 165 176 182 197 198 214 220 226 227 232 233 234 240 244 277 282 285 308 319 322 350
9. 11 15 16 19 30 32 55 60 67 86 89 91 97 133 136 160 166 168 179 196 223 228 247 249 250 252 255 261 272 295 297 309 311 316 323 329 336 337 344 346
10. 3 21 35 59 78 102 107 114 115 117 134 201 204 212 222 225 256 264 271 279 283 284 293 294 304 305 327
Table 3
1. 5 7 13 19 25 31 32 44 54 56 68 77 82 87 108 111 121 127 134 137 163 164 184 185 189 193 200 220 231 240 250 252 267 276 289 302 311 314 332 335
2. 17 48 49 59 75 79 80 85 96 99 103 104 116 119 123 131 136 167 168 169 173 175 177 186 201 219 222 224 229 233 237 247 261 262 263 287 324 330 343 350
3. 2 20 21 28 33 50 65 70 78 83 98 107 113 114 115 126 129 135 140 155 221 246 251 253 273 279 283 285 291 316 317 318 323 331 334 336 342 348
4. 23 26 29 30 35 53 64 67 71 72 73 94 106 109 117 124 141 145 154 166 176 179 192 194 198 199 206 212 227 234 235 243 258 270 275 286 292 305 308 328 339
5. 12 16 40 41 46 58 60 61 62 69 120 128 130 143 158 182 190 197 209 215 228 236 241 248 264 266 269 271 280 295 301 322 329 338
6. 1 4 11 24 36 38 52 95 101 110 151 153 170 171 172 180 181 183 191 195 205 207 239 244 257 260 274 288 293 297 320 326 333 346
7. 3 10 15 37 39 42 47 55 57 91 92 118 132 149 156 159 174 208 214 254 255 272 277 278 296 298 304 309 325 337 345 347
8. 9 14 51 84 86 88 89 97 102 144 152 157 160 188 196 213 218 226 230 232 238 242 256 259 268 303 306 321 341
9. 6 18 34 45 63 74 76 81 112 122 125 139 150 161 187 204 210 225 249 282 284 294 307 312 313 319 349
10. 8 22 27 43 66 90 93 100 105 133 138 142 146 147 148 162 165 178 202 203 211 216 217 223 245 265 281 290 299 300 310 315 327 340 344
Table 4
1. 5 9 14 22 27 30 33 36 44 48 56 61 72 86 102 103 134 146 150 151 152 154 162 174 177 182 195 199 203 208 217 232 243 252 267 269 278 285 290 294 295 305 310 317 330
2. 13 26 29 49 50 58 65 66 76 91 97 114 117 141 161 172 204 209 219 223 233 248 249 250 253 256 280 287 299 300 302 318 325
3. 19 35 43 45 53 62 67 70 73 75 90 92 105 136 139 143 165 180 183 193 196 198 214 246 278 279 293 311 340 345
4. 10 11 46 54 69 82 95 99 112 122 127 137 140 163 164 167 173 181 188 191 228 230 231 237 239 244 245 262 272 273 274 282 292 312 319 329 332 346
5. 39 41 42 51 79 87 98 118 126 132 147 157 166 168 175 178 197 213 221 222 225 251 257 261 270 281 314 320 321 338
6. 1 2 15 16 23 38 40 80 89 94 104 108 124 160 192 194 200 202 205 210 211 220 226 227 234 235 240 283 296 297 304 307 313 315 324 339 343
7. 7 8 24 25 32 47 57 68 81 83 88 110 111 113 121 138 142 145 148 155 158 170 176 187 189 190 207 238 255 260 265 266 268 275 291 298 322 336
8. 3 17 20 31 60 63 71 74 96 107 109 116 129 156 247 309 316 328 331 333 347 348
9. 4 28 37 77 78 84 93 115 119 125 130 131 135 149 159 169 179 184 185 201 212 216 224 236 241 242 258 264 271 276 277 306 308 326 327 335 337 342 344
10. 6 12 18 21 34 52 55 59 64 85 100 101 106 120 123 128 133 144 153 171 186 206 215 218 229 254 259 263 279 284 286 301 303 323 334 341 349 350
Table 5
1. 11 15 19 33 37 42 51 71 73 83 90 104 122 148 150 162 184 191 199 224 238 250 255 261 271 277 302 326 348
2. 13 36 40 67 80 85 97 123 143 147 149 164 172 178 179 189 200 210 225 237 240 249 292 307 308
3. 16 22 24 25 29 52 72 75 100 102 111 124 138 157 161 188 192 198 201 202 211 212 234 245 247 252 256 258 264 272 278 280 282 284 294 305 309 313 337 340
4. 5 34 43 53 58 65 79 87 89 95 98 112 126 128 140 141 142 145 153 169 183 196 222 229 251 253 259 266 274 285 286 287 291 293 299 300 304 310 315 330 338 339 346 350
5. 4 6 12 20 39 45 47 54 57 63 64 69 76 77 78 93 99 106 114 116 131 159 170 176 177 187 193 194 203 204 205 220 227 243 244 248 267 283 289 296 316 320 347 349
6. 3 9 10 18 26 31 35 48 59 62 74 101 110 115 120 135 139 174 216 219 223 239 241 242 246 257 268 270 298 311 324 343 344
7. 1 41 66 68 94 96 109 113 119 134 137 144 154 156 163 165 167 181 208 215 260 262 279 288 290 303 321 325 328 342
8. 2 7 8 14 23 28 30 38 44 46 61 84 103 125 130 136 152 168 180 182 197 206 207 228 232 235 236 276 295 323 331 334 341
9. 17 21 49 60 82 91 92 105 118 121 127 129 133 151 155 158 166 173 185 209 213 226 231 233 254 263 269 273 312 317 322
10. 27 32 50 55 56 70 81 86 88 107 108 117 132 146 160 171 175 186 190 195 214 217 218 221 230 265 275 281 297 301 306 314 318 319 327 329 332 333 335 336 345
Table 6
1. 19 24 26 32 41 68 81 82 83 94 100 154 184 192 195 197 201 202 203 218 223 228 251 269 272 300 303 322 325 340 341
2. 16 17 20 22 27 30 42 45 52 59 76 95 104 107 109 110 140 147 169 176 182 189 205 212 217 230 235 236 238 240 243 248 249 264 278 289 297 309 326 328 332 336 346 349
3. 2 7 10 13 18 37 46 47 71 89 92 108 114 117 129 132 133 143 149 177 179 193 209 211 233 239 266 270 281 312 318 319 337 342
4. 29 35 40 61 67 70 77 85 88 90 98 131 134 141 157 162 163 178 206 229 231 232 237 247 260 279 292 308 313 315 323 327
5. 9 11 15 48 62 64 65 66 75 91 99 115 116 151 152 155 164 175 186 207 215 219 225 227 245 252 258 261 263 274 287 291 298 320 333 343
6. 6 14 33 34 36 44 54 78 103 105 112 118 150 158 168 180 194 204 234 250 255 265 276 283 284 321 331
7. 5 12 23 31 39 51 53 56 60 73 74 86 96 97 101 102 113 123 127 142 153 165 173 188 190 191 199 200 220 244 253 275 282 286 290 296 302 304 305 306 307 310 329 339
8. 1 4 8 21 43 57 63 72 80 84 121 122 125 138 139 146 161 166 167 187 213 214 142 262 268 273 280 288 301 317 347
9. 3 25 28 38 49 50 58 69 87 106 111 124 128 130 145 156 160 170 171 174 183 196 198 210 221 224 241 254 257 259 267 271 295 299 311 314 334 338 344
10. 55 79 93 119 120 126 135 136 137 144 148 159 172 181 185 208 216 222 226 246 256 277 285 293 294 316 324 330 335 345 348 350
Table 7
1. 14 20 30 37 58 66 83 94 100 107 112 124 134 159 166 176 198 209 228 233 272 276 313 316 319 327 336 347
2. 17 26 34 36 62 95 110 122 149 154 155 165 178 196 201 217 242 258 265 267 267 277 282 299 321 326
3. 15 38 51 67 76 98 104 109 114 121 125 129 133 136 139 156 162 181 185 195 219 223 250 281 285 295 302 307 309 310 314 328
4. 2 4 29 31 47 60 70 85 108 111 128 130 140 146 150 153 157 164 207 221 225 226 229 231 239 245 247 259 262 274 283 284 290 291 300 304 308 311 332 341
5. 8 13 24 32 42 48 50 59 65 86 87 92 97 103 123 127 143 147 158 169 171 179 192 203 254 255 268 270 275 279 286 287 305 315 334 335 337 338 339 340 348
6. 9 11 18 40 61 74 79 81 84 88 105 115 167 175 187 191 205 206 211 212 216 218 222 235 246 249 252 260 280 320 323 346
7. 1 5 46 52 54 77 78 91 96 116 118 132 135 161 182 188 199 214 230 234 241 243 264 273 288 289 294 325 329
8. 7 19 23 33 39 53 56 68 71 72 80 82 90 93 120 131 145 160 168 173 184 189 190 194 197 204 208 213 220 248 251 257 263 278 292 296 298 312 317 318 322 324 333 345
9. 3 6 16 25 27 28 35 41 45 57 63 69 89 99 101 102 113 117 119 137 138 151 172 174 177 180 193 200 215 224 227 232 236 238 271 293 301 306 330 343 349 350
10. 10 12 21 22 43 44 49 55 64 73 75 106 126 141 142 144 148 152 163 170 183 186 202 210 237 240 244 253 256 261 266 297 303 331 342 344
Table 8
1. 8 11 13 19 31 37 45 54 69 86 89 92 98 99 102 114 117 119 139 150 156 162 166 183 196 204 217 221 222 229 239 284 307 321 328 334 336 349 350
2. 5 10 18 38 43 64 84 88 100 111 128 133 143 146 171 182 184 185 190 191 192 202 209 218 224 238 245 252 267 275 278 290 295 299 306 316 325 329 331 332
3. 7 9 12 16 22 26 50 67 74 80 83 120 125 136 145 148 161 173 174 179 203 210 213 227 231 235 243 244 249 254 261 266 271 287 288 292 293 294 313 314 320 322 326 333 347
4. 34 49 53 63 66 81 93 118 124 131 152 153 157 165 169 187 189 198 208 216 223 226 232 234 237 263 282 296 297 301 302 308 309 319 323 342 344 345
5. 6 28 29 39 41 42 61 94 106 122 129 130 163 168 176 178 197 207 225 230 236 247 260 272 280 281 300 318 335 343
6. 17 20 24 30 47 58 62 70 71 78 101 103 107 109 112 123 138 140 141 142 158 170 181 219 253 264 268 274 283 291 304 317 327 340 346
7. 4 14 23 25 27 33 46 51 55 57 59 60 65 72 90 95 132 137 147 160 172 175 177 201 214 242 246 256 259 276 279 286 289 339
8. 1 2 3 21 35 36 68 82 85 108 110 113 126 127 135 149 154 188 206 257 265 269 277 298 305 324
9. 40 44 48 52 91 97 116 121 144 155 193 194 205 211 215 241 258 270 273 310 330 338 348
10. 15 32 56 73 75 76 77 79 87 96 104 105 115 134 151 159 164 167 180 186 195 199 200 212 220 228 233 240 248 250 251 255 262 285 303 311 312 315 337 341
Table 9
1. 27 43 58 61 65 87 93 95 112 121 128 132 135 139 140 143 144 149 152 154 160 162 180 185 188 194 203 204 213 216 226 228 239 253 258 262 263 276 282 286 298 301 308 312 316 318 321 322 324 342 344 350
2. 6 11 17 20 34 37 48 52 60 74 101 106 107 125 155 171 177 178 186 192 193 195 198 212 225 232 248 256 261 269 274 277 293 297 302 315 317 319 326 327 343
3. 4 18 19 23 28 35 41 49 55 63 68 79 83 89 96 103 109 111 137 156 159 184 208 223 234 237 250 255 264 275 278 281 320 339
4. 8 16 21 29 30 57 59 78 81 91 94 97 102 113 114 123 124 147 150 164 167 189 233 241 249 257 265 294 295 310 331 332 345
5. 10 42 77 85 92 100 110 127 136 145 157 158 163 169 176 209 220 221 252 259 260 283 291 292 341 347
6. 3 9 15 33 39 47 53 54 67 69 86 108 122 133 142 153 170 175 183 200 205 214 222 227 240 243 245 247 279 284 288 296 311 314 323 335
7. 1 7 13 14 25 32 46 66 90 104 105 115 120 134 138 141 146 151 166 187 197 199 218 229 231 238 244 254 266 280 299 303 306 330 336
8. 2 5 22 26 40 62 64 71 73 75 98 116 118 119 129 168 173 174 179 182 196 210 211 217 246 251 271 272 289 313
9. 12 24 31 36 38 50 56 70 82 88 117 126 161 181 201 206 215 219 230 235 242 267 268 273 287 304 307 325 328 334 340 346 348
10. 44 45 51 72 76 80 84 99 130 131 148 172 190 191 202 207 224 236 270 285 290 300 305 309 329 333 337 338 349
Table 10
1. 7 12 17 35 48 97 103 106 122 126 127 138 147 149 155 157 163 171 177 183 184 205 209 210 221 235 252 266 273 282 295 296 318 323 339 342 343 345
2. 2 21 29 34 38 52 62 63 65 66 75 81 83 102 107 111 113 116 123 132 133 142 144 151 152 162 164 166 173 186 211 215 224 229 233 238 244 254 255 268 278 279 322 325 333
3. 11 33 39 40 43 58 59 70 72 90 100 120 125 140 145 148 179 187 196 201 208 216 218 230 241 243 246 250 276 277 285 286 312 316 319 326 337
4. 22 27 30 31 42 54 57 64 67 68 78 84 114 115 117 130 139 143 154 156 158 188 214 236 239 245 259 272 283 290 334 336
5. 1 4 5 6 8 9 19 46 49 53 55 76 80 85 94 104 128 146 167 168 174 190 191 198 225 231 232 251 260 291 302 303 313 315 324 327 344 349
6. 10 15 26 37 45 47 71 74 88 101 112 131 136 150 153 160 169 170 181 192 203 219 220 226 237 240 242 248 263 267 271 274 280 287 292 297 304 306 309 317 321 346 350
7. 18 32 44 51 56 93 95 98 141 159 161 175 185 199 217 222 234 269 293 294 298 314 335
8. 20 24 25 60 69 73 79 86 99 182 202 213 223 227 228 264 284 289 300 301 308 320 328 331 332
9. 13 14 28 36 50 61 77 82 89 91 92 96 105 118 119 129 134 176 178 189 197 200 204 206 249 258 261 275 288 299 307 311 329 338 340
10. 3 16 23 41 87 108 109 110 121 124 135 137 172 180 193 194 195 207 212 247 253 256 257 262 265 270 281 305 310 330 341 347 348
Table 11
1. 6 12 23 47 49 53 56 62 78 102 116 118 121 124 125 133 143 145 153 154 155 158 163 169 172 182 189 201 204 209 211 214 227 251 264 282 303 318 345 348
2. 46 51 61 76 119 130 132 139 160 192 200 218 226 263 274 293 324 347
3. 1 19 33 82 83 89 96 105 106 123 135 141 150 151 173 180 190 198 207 215 216 220 230 232 260 265 277 279 285 288 294 296 298 340 350
4. 9 10 11 17 26 28 36 45 52 77 94 95 114 115 122 149 157 179 185 188 206 208 217 222 238 244 253 258 268 272 275 290 295 297 304 332 339 344
5. 16 20 21 25 39 42 43 54 64 69 71 75 81 86 90 93 99 100 103 108 110 111 134 144 146 166 168 170 181 195 221 225 228 229 242 246 250 283 308 309 314 319 323 333 334 335
6. 5 15 22 30 34 37 66 72 73 74 104 109 147 148 156 183 186 187 199 205 212 224 236 241 247 255 266 269 291 292 302 321 330 336 346
7. 2 3 50 60 79 92 126 129 140 162 164 167 171 203 210 213 233 252 261 271 273 276 286 289 311 313 315 316 326 343 349
8. 7 8 14 27 31 35 38 58 68 85 88 97 98 120 131 161 174 175 177 184 191 223 240 243 254 256 262 270 280 300 305 307 310 327 328 329 331 337 338 341 342
9. 4 24 32 40 63 67 70 84 87 91 107 113 127 136 138 142 178 194 219 234 245 248 249 257 278 284 299 301 306 312 325
10. 13 18 29 41 44 48 55 57 59 65 80 101 112 117 128 137 152 159 176 193 196 197 202 231 235 237 239 259 267 281 287 317 320 322
Table 12
1. 27 42 47 48 54 55 60 62 71 85 113 145 146 155 172 180 190 202 211 233 234 255 261 294 313 332
2. 8 11 15 25 37 44 49 58 67 77 79 86 88 98 102 112 128 138 140 162 168 176 207 209 222 240 241 249 252 296 299 316 330 339 340 347
3. 2 10 30 35 68 73 78 80 82 84 89 90 101 103 111 118 136 148 156 179 191 210 213 214 216 223 229 232 235 242 264 279 281 290 297 308 316 323 325 345 349
4. 7 12 14 16 23 36 41 53 69 72 75 87 92 97 107 119 120 127 147 182 198 200 218 219 225 236 237 248 254 265 283 298 302 303 310 314 336 350
5. 3 13 17 39 52 64 76 91 121 122 137 143 149 153 158 160 161 186 204 217 220 230 231 238 257 262 266 274 280 300 304 307 315 319 329 338
6. 20 31 33 45 56 81 99 104 110 114 123 126 139 163 166 170 187 205 212 224 226 245 253 256 263 268 270 272 287 301 309 326 328 331 341 343 348
7. 9 22 28 40 61 83 94 108 115 117 130 132 134 141 150 151 167 171 183 184 185 188 197 203 250 267 273 276 282 286 293 320 346
8. 1 26 38 63 65 93 100 106 109 169 174 177 199 206 215 239 247 258 259 260 269 271 275 288 292 305 312 327 333
9. 6 18 21 24 32 34 46 51 59 70 74 116 124 125 129 135 144 152 154 157 159 164 189 193 194 195 221 228 246 251 278 284 289 321 322 337 344
10. 4 5 19 29 43 50 57 66 95 96 105 131 133 142 173 175 178 181 192 196 201 208 227 243 244 277 285 291 295 311 317 318 324 334 335 342
Table 13
1. 25 52 61 76 93 99 102 127 139 150 157 166 197 205 212 214 215 217 224 233 253 263 272 281 289 299 301 327 316 319 323 327 341 346
2. 1 3 4 20 32 33 42 51 55 59 64 65 72 84 110 115 124 125 137 159 194 199 225 232 240 260 274 287 300 320 321 322 329 336 349
3. 12 16 19 24 26 47 54 56 74 81 119 131 168 169 170 191 192 198 204 208 209 213 223 228 229 237 241 244 246 258 259 276 279 282 306 312 340 347
4. 5 6 18 22 23 34 44 86 101 109 116 126 136 141 160 161 180 188 189 190 254 255 277 280 286 292 294 297 305 332 342 345 350
5. 35 38 57 69 75 79 82 88 89 94 95 114 132 147 167 172 196 210 220 230 231 236 242 247 251 265 275 303 317
6. 11 13 27 37 62 67 92 112 133 138 151 152 154 155 156 173 175 179 181 184 195 203 207 211 222 243 245 249 257 270 273 278 283 288 313 330 333 338
7. 7 21 41 45 58 70 78 83 90 96 107 111 117 118 121 130 182 193 227 235 250 262 266 269 285 293 298 318 324 331 334 344
8. 10 40 43 46 63 66 68 80 100 103 113 120 123 145 146 158 165 174 177 178 185 201 216 219 221 239 256 267 271 310 311 314 325 328 335 343
9. 8 9 14 15 17 39 48 49 73 77 87 97 104 108 129 140 142 153 162 164 171 183 186 200 202 218 226 248 264 268 291 296 304 326 337 339
10. 2 28 29 30 31 36 50 53 60 71 85 91 98 105 106 122 128 134 135 143 144 148 149 163 176 187 206 234 238 252 261 284 290 295 302 308 309 315 348
Table 14
1. 12 13 23 41 50 51 56 86 96 108 123 142 147 154 162 175 176 179 186 192 198 201 202 216 217 222 225 227 232 236 264 272 279 310 320 321 322 350
2. 11 16 45 47 58 65 79 80 82 97 103 107 133 134 141 169 170 182 203 208 214 219 234 256 276 277 280 281 288 290 293 305 306 312 325 327
3. 3 21 24 26 27 31 36 37 70 74 88 101 138 146 156 160 161 163 165 172 188 195 210 221 230 238 240 243 249 266 284 297 304 314 324 331 332 338 348
4. 7 17 19 34 39 40 46 55 60 64 67 68 78 87 95 116 121 143 144 173 178 187 190 191 196 212 213 228 233 235 257 273 285 287 294 299 300 302 303 323 328 330 342 347
5. 2 15 22 29 32 35 44 49 52 62 66 77 93 102 115 125 132 148 149 151 155 166 177 197 199 223 244 245 267 270 286 291 301 308 309 311 318 339 343 346
6. 4 42 59 61 69 71 72 92 110 119 126 131 139 181 185 194 205 211 215 226 250 278 289 296 307 334
7. 6 8 10 14 20 38 43 53 57 63 75 81 85 91 94 114 140 159 183 193 204 224 242 259 260 265 274 292 298 315 316 329 335 344
8. 5 9 25 33 54 84 89 99 100 104 105 112 113 120 124 130 136 145 157 167 168 184 207 237 239 241 246 247 252 255 258 268 269 271 275 313 317 319 337 341 349
9. 1 30 73 83 106 117 118 122 127 129 137 152 153 171 174 189 206 218 229 231 251 254 261 262 263 283 295 326 345
10. 18 28 48 76 90 98 109 111 128 135 150 158 164 180 200 209 220 248 253 282 333 336 340
Table 15
1. 11 32 41 44 52 59 73 77 91 111 117 118 119 152 156 161 168 169 178 179 182 185 189 192 218 219 220 221 225 226 229 241 258 279 323 333 336 346 349
2. 7 8 13 22 33 55 64 66 67 68 74 75 76 79 90 99 100 122 125 126 129 150 160 163 171 188 206 232 240 243 251 255 264 276 281 315 322 327 337
3. 12 19 43 78 97 134 140 141 148 153 154 164 165 170 172 187 204 213 215 222 224 239 253 265 273 282 294 304 318 321 328 329 334 344
4. 3 9 15 18 29 38 57 61 71 120 146 173 180 200 237 260 288 289 290 293 297 302 312 319 320 325 331 339 340 343 345
5. 2 5 21 23 34 40 42 48 54 56 65 69 84 86 89 95 104 107 116 128 133 139 142 175 211 214 216 230 254 266 275 284 287 291 298 299 308 310 317 335 341 347
6. 10 20 37 39 47 62 72 82 85 96 109 114 131 132 147 149 151 166 194 197 212 235 262 267 272 296 306 309 332 348
7. 4 14 17 25 49 51 98 102 103 105 108 115 136 138 157 159 174 199 205 209 210 228 244 261 268 269 271 292 303 305 313 314 316 324
8. 6 16 26 30 31 60 63 83 94 123 135 144 155 158 167 176 196 207 227 233 242 257 259 278 280 283 307 311 342
9. 1 24 27 28 45 46 53 58 70 80 81 93 106 112 113 121 124 127 143 145 162 177 181 184 190 191 193 201 202 203 217 231 236 238 246 247 250 252 263 270 274 277 285 286 295 326 33 338 350
10. 35 36 50 87 88 92 101 110 130 137 183 186 195 198 208 223 234 245 248 249 256 300 301
Table 16
1. 3 7 21 26 31 33 37 60 61 62 65 80 104 109 127 130 164 175 187 188 202 204 208 211 213 214 239 240 242 252 257 265 287 294 296 300 328 341 344 345 348
2. 16 20 56 64 89 93 111 120 144 152 176 180 185 189 201 205 233 238 244 245 248 250 255 286 291 303 315 318 325 329 331 337 349
3. 23 41 43 48 84 108 110 123 131 136 146 157 160 195 196 200 206 210 220 246 254 256 270 273 279 284 290 314 316 333 334 336 342 347
4. 8 12 19 24 28 34 46 55 63 70 72 73 75 85 86 99 128 137 138 142 145 163 167 168 171 198 236 237 272 278 281 299 311 338 339
5. 6 18 32 36 42 52 59 68 97 114 116 119 122 149 158 178 179 194 197 209 215 219 222 223 247 253 260 274 275 282 293 301 327 330 343 346
6. 1 4 9 30 44 45 71 77 82 87 88 101 102 103 106 124 151 154 172 186 199 207 225 241 262 266 268 269 289 298 320 326
7. 27 35 38 40 53 54 78 79 115 118 126 139 153 161 183 192 212 217 226 230 231 235 259 264 276 283 285 297 306 307 310 313 321 324 335
8. 5 13 14 15 22 39 51 81 91 94 95 98 105 113 117 125 129 134 135 140 141 147 155 162 174 177 181 182 190 193 203 216 221 249 251 261 263 280 304 308 309 312 322 323
9. 2 10 17 25 29 49 57 58 66 69 90 107 132 143 150 166 170 218 228 232 234 277 288 317 319 340
10. 11 47 50 67 74 76 83 92 96 100 112 121 133 148 156 159 165 169 173 184 191 224 227 229 243 258 267 271 292 295 302 305 332 350
Table 17
1. 12 29 34 37 50 51 62 63 66 73 89 91 119 126 127 128 138 140 149 158 206 215 222 223 231 248 253 257 271 291 294 314 319 325 331 336
2. 26 59 69 103 111 121 155 168 169 174 177 180 186 190 193 203 205 227 235 238 243 249 255 260 267 269 282 285 303 311 334 340 348 349
3. 4 9 11 16 25 33 36 45 54 55 68 71 82 94 98 113 124 141 143 196 199 201 208 218 220 226 237 239 252 262 278 288 335 344
4. 2 28 38 53 77 78 86 101 115 123 125 136 137 150 154 166 167 171 173 176 181 185 188 189 197 198 213 217 229 242 245 263 276 279 281 283 296 297 300 308 313 316 321
5. 5 8 13 14 19 27 49 52 57 65 80 81 97 100 102 104 120 133 144 145 156 184 191 209 221 228 234 250 256 265 270 280 292 299 302 323
6. 1 3 6 23 24 30 41 42 47 48 56 60 90 112 117 148 159 175 179 183 207 211 230 266 268 272 273 287 290 307 310 318 328 329 332 339 341
7. 7 18 31 40 43 67 84 85 87 92 95 108 109 122 132 134 135 161 164 165 178 216 225 233 244 246 247 258 259 284 295 304 305 330 337 347
8. 10 20 21 22 39 61 70 72 76 83 88 93 96 130 139 151 160 170 172 212 219 224 236 251 254 274 275 298 301 309 312 317 333 338 342
9. 15 17 35 58 64 75 79 105 106 110 118 129 146 152 153 182 194 214 232 241 261 277 286 289 293 320 326 343
10. 32 44 46 74 99 107 114 116 131 142 147 157 162 163 187 192 195 200 202 204 210 240 264 306 315 322 324 327 345 346 350
Table 18
1. 16 20 25 32 56 65 70 74 89 91 93 96 98 109 115 146 151 155 156 168 187 189 203 207 212 226 227 229 242 250 255 261 265 7 29 32 35 42 323 324 335 347 348
2. 14 17 27 45 48 54 57 68 71 82 102 104 108 111 116 124 143 160 164 185 190 197 202 208 215 231 239 248 292 293 316 326 344
3. 1 10 15 30 64 73 88 95 135 137 176 182 198 199 209 211 221 223 240 245 249 253 254 257 262 282 283 301 318 336 339 350
4. 3 9 18 28 29 33 47 49 50 53 60 67 79 80 81 107 110 117 131 134 138 162 169 170 172 175 213 232 233 263 280 284 286 290 296 299 300 307 314 322 333 337 343
5. 23 34 37 39 62 72 77 106 113 119 126 127 128 133 139 149 153 159 165 166 173 183 191 195 206 237 266 273 281 289 303 309 313 329 334 349
6. 4 6 43 55 63 66 75 78 94 118 120 121 125 132 136 137 145 178 193 201 222 235 246 258 264 268 270 288 305 317 340 342 345
7. 2 8 22 24 26 35 36 40 52 58 76 83 84 92 100 130 141 144 147 152 163 167 180 184 194 238 241 251 252 256 271 275 276 306 308 315 328 331
8. 5 11 12 21 31 59 85 87 122 148 181 196 210 214 216 236 244 259 260 267 278 285 287 298 304 312 319 325
9. 7 41 44 51 61 69 86 101 114 150 161 174 177 179 188 219 230 234 243 269 272 277 279 294 320 321 338 341 346
10. 13 19 38 42 46 90 97 99 103 105 112 123 129 140 142 154 158 171 186 192 200 204 205 217 218 220 224 225 228 247 291 302 327 330 332
Table 19
1. 7 29 32 35 42 45 56 84 89 94 99 102 103 152 165 177 179 182 190 207 214 219 221 233 236 241 242 250 252 255 283 288 293 305 316 321 322 325 336
2. 2 26 27 33 37 49 50 64 77 92 96 105 109 115 119 127 128 131 132 133 135 145 158 169 202 211 228 235 239 251 269 280 282 284 298 307 309 319 342
3. 9 13 16 20 31 36 39 47 62 66 70 72 74 123 137 148 151 163 164 167 170 181 186 189 195 196 198 208 210 212 216 218 226 231 234 248 279 314 337 349
4. 1 6 21 23 34 46 52 60 67 69 73 87 108 113 129 142 156 157 171 180 206 224 247 268 274 276 287 297 301 306 310 311 341 343 344
5. 3 4 5 14 24 38 43 65 68 88 91 101 107 110 125 130 138 139 141 153 162 174 185 188 194 200 223 238 243 256 260 266 273 302 304 326 329
6. 12 19 28 41 44 48 58 75 80 81 90 93 114 120 126 168 176 217 265 292 295 312 320 324 332 339 348
7. 11 18 51 57 82 98 106 111 121 146 147 149 155 159 172 175 183 187 204 215 220 225 229 240 246 254 263 264 275 286 303 330 334 345 346 350
8. 8 25 40 54 78 79 85 95 97 104 117 118 122 124 154 192 213 230 237 253 259 262 277 291 294 299 318 331 340 347
9. 15 17 53 55 63 83 86 112 116 134 136 143 144 160 161 166 191 193 197 222 244 245 257 258 261 267 281 296 300 308 315 323 328 333 335
10. 10 22 30 59 61 71 76 100 140 150 173 178 184 199 201 203 205 209 227 232 249 270 271 272 278 285 289 290 313 317 327 338
Table 20
1. 30 41 87 92 97 109 127 128 129 133 135 139 141 155 157 164 167 169 180 205 211 239 263 267 268 273 282 301 304 328 337
2. 34 42 72 89 93 101 106 107 111 112 114 115 117 138 143 147 150 159 160 172 175 199 200 203 245 262 294 298 323 331 335 341
3. 9 11 29 31 57 64 85 99 113 118 123 131 144 149 158 161 174 191 193 198 202 207 214 215 233 236 244 259 296 317 319 333
4. 1 4 8 35 51 53 88 98 124 136 137 173 226 246 256 276 315 316 320 336 350
5. 12 14 15 43 47 48 58 61 74 78 90 102 105 125 140 142 151 163 168 177 182 210 220 234 238 249 250 255 269 272 279 291 322 325 334
6. 20 45 52 54 68 69 76 84 95 110 116 120 126 132 146 153 162 178 179 184 194 197 201 208 209 213 221 223 229 232 235 241 252 261 270 271 274 277 284 285 286 310 321 328 340 342
7. 18 19 21 25 26 27 33 55 62 63 65 70 77 81 86 94 122 134 145 181 195 212 216 217 219 231 240 257 264 265 275 278 281 300 303 324 329
8. 5 6 7 16 17 23 32 37 38 59 91 119 130 154 170 171 176 186 188 196 227 248 253 260 283 288 295 299 306 308 326 330 332 339 344 345 348
9. 2 3 10 28 40 44 46 49 56 60 71 75 82 100 148 152 156 165 166 185 187 189 192 204 218 224 242 251 280 289 292 293 297 302 305 311 313 314 317 327 347 349
10. 13 22 24 36 39 50 66 67 73 79 80 83 96 103 104 108 121 183 190 206 222 225 228 230 237 243 247 254 258 266 287 290 307 309 312 343 346
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