Geniuses, Help Me To Crack This "Big Sizes" Number Puzzle...
wus...@yahoo.com
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 puzzle
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 HITORI, but
it's not. Since here I can't attach .xls file, I put it (name:
sept09A.xls) at:
http://www.artofproblemsolving.com/Forum/viewtopic.php?t=171338&sid=dbfa1e1099d59aa7b0714fb0b192b6e4
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 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, and I put
the file (name: #26.xls) in my latest post there.
2. This "big sizes" puzzle is tough, (artistic?) and really needs hard
thinking...
Best regards
Steven Wu
Bali - Indonesia
Ed Murphy
> This number puzzle is in .xls file format. It looks like HITORI, but
> it's not. Since here I can't attach .xls file, I put it (name:
> sept09A.xls) at:
> http://www.artofproblemsolving.com/Forum/viewtopic.php?t=171338&sid=dbfa1e1099d59aa7b0714fb0b192b6e4
> 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 filled with numbers 1 to 350.
Each table consists of six 10x10 sections arranged horizontally, so 351
to 600 remain to be filled in. Or are some of the numbers intended to
be left blank?
Each row appears to be strictly increasing. The gray highlights in
Table 1 indicate the cells in the first 10x10 block that are more than
100, and most (but not all) of the cells in the second 10x10 block that
are less than 100; similarly for the second and third 10x10 blocks and
the 200 borderline.
> 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?
This needs some context. I don't have the time to spend on it right
now, but a bit of poking around would put it together.
What's the overall point of the puzzle, though? "Figure out the rule
used to generate each of these, and fill in the rest of the numbers
up through 600"?
wus...@yahoo.com
> Each table consists of six 10x10 sections arranged horizontally, so 351
> to 600 remain to be filled in. Or are some of the numbers intended to
> be left blank?
Yes, 351 to 600 remain to be filled in, and finally no numbers
intended to be left blank.
> Each row appears to be strictly increasing. The gray highlights in
> Table 1 indicate the cells in the first 10x10 block that are more than
> 100, and most (but not all) of the cells in the second 10x10 block that
> are less than 100; similarly for the second and third 10x10 blocks and
> the 200 borderline.
The gray areas is my approaching methods. This had been written in my
latest post at:
http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_hard;action=display;num=1192863624
But this still needs more explanations.
> This needs some context. I don't have the time to spend on it right
> now, but a bit of poking around would put it together.
> What's the overall point of the puzzle, though? "Figure out the rule
> used to generate each of these, and fill in the rest of the numbers
> up through 600"?
Yea, the point of this puzzle is to figure out the rule used to
generate each of these, and fill in the rest of the numbers up through
600 even more...
Thank's.
Ed Murphy
What do you mean by "even more"? Is it guaranteed that, after filling
in 600, each row will contain exactly 60 numbers?
Here is Table 1, split into 10x10 blocks from left to right:
[part 1/6]
7 8 10 24 27 30 39 42 43 69
9 16 22 26 31 51 53 62 79 82
4 5 6 49 50 60 61 77 80 81
2 17 18 32 41 55 57 59 96 124
34 35 46 54 83 85 87 101 106 123
12 33 38 56 67 68 95 111 114 131
15 21 23 36 40 44 48 58 63 64
11 25 37 52 70 72 73 94 107 110
13 14 29 47 65 84 100 115 117 132
1 3 19 20 28 45 66 71 75 76
[part 2/6]
74 78 144 151 154 157 170 178 196 212
88 92 104 109 118 121 130 140 171 173
86 116 120 122 129 143 145 150 153 155
125 126 159 174 181 195 200 201 205 206
156 166 185 189 190 191 193 215 221 239
133 162 164 172 177 182 208 232 246 269
89 93 98 102 105 128 135 139 146 147
119 136 137 141 161 165 175 186 202 203
134 138 168 176 194 199 213 216 219 223
90 91 97 99 103 108 112 113 127 142
[part 3/6]
214 217 226 228 233 237 238 241 247 251
184 240 248 249 259 265 266 267 280 288
158 160 163 167 179 180 183 192 204 209
218 242 254 256 258 263 264 305 307 318
250 272 279 282 286 287 294 298 300 301
281 332 339 349
148 169 187 197 210 224 253 261 297 299
207 220 222 229 244 270 271 276 285 303
227 231 243 283 289 290 323 324 334 346
149 152 188 198 225 235 255 257 260 274
[part 4/6]
252 278 293 326 329 330 342 343 347
291 292 308 312 316 317 331 350
211 230 234 236 245 262 268 273 295 296
321 327 333 335 337 341
304 309 310 320 325
<blank>
302 306 328 340
311 314 315 319
<blank>
275 277 284 313 344
[part 5/6]
<blank>
<blank>
322 336 338 345 348
<blank>
<blank>
<blank>
<blank>
<blank>
<blank>
<blank>
<blank>
[part 6/6 is entirely blank]
Looking at this another way, here are the rows into which 1, 2, 3, etc.
are placed:
10 4 10 3 3 3 1 1 2 1
8 6 9 9 7 2 4 4 10 10
etc.
wus...@yahoo.com
> What do you mean by "even more"? Is it guaranteed that, after filling
> in 600, each row will contain exactly 60 numbers?
that after filling in 600, each row will contain exactly 60 numbers as
you see there are many blank columns.
> Looking at this another way, here are the rows into which 1, 2, 3, etc.
> are placed:
difficult to me, that's why I need some helps...
Thank's.
Ed Murphy
Where did you get this from, originally? It would be helpful if they
could provide a few example tables with solutions given, so that we
have some idea whether they're looking for numeric properties, shapes
of digits, numeric encoding of textual trivia, etc.
wus...@yahoo.com
> Where did you get this from, originally? It would be helpful if they
> could provide a few example tables with solutions given, so that we
> have some idea whether they're looking for numeric properties, shapes
> of digits, numeric encoding of textual trivia, etc.
from. If I knew a few example tables with solutions given, perhaps I
could solve this puzzle by myself, thus I didn't need to put this
here...
Thank's.