A computer screen shows a 98 × 98 chessboard, colored in the usual way. [closed]
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This is a question from the 1998 math olympiad I found 2 solutions in the following places: book1 pg.32 book2 pg.163
however, I was having trouble understanding them. Any help would be appreciated
There is a 98 × 98 chessboard, colored in the usual way. One
can select any rectangle with sides on the lines of the chessboard
and as a result, the colors in the selected rectangle switch
(black becomes white and white becomes black). What is the minimum number
of changes needed to make the chessboard all one color?
sequences-and-series combinatorics algebra-precalculus chessboard
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closed as off-topic by Rory Daulton, Adrian Keister, Jens, Holo, user91500 Jan 15 at 6:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Rory Daulton, Adrian Keister, Jens, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
This is a question from the 1998 math olympiad I found 2 solutions in the following places: book1 pg.32 book2 pg.163
however, I was having trouble understanding them. Any help would be appreciated
There is a 98 × 98 chessboard, colored in the usual way. One
can select any rectangle with sides on the lines of the chessboard
and as a result, the colors in the selected rectangle switch
(black becomes white and white becomes black). What is the minimum number
of changes needed to make the chessboard all one color?
sequences-and-series combinatorics algebra-precalculus chessboard
$endgroup$
closed as off-topic by Rory Daulton, Adrian Keister, Jens, Holo, user91500 Jan 15 at 6:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Rory Daulton, Adrian Keister, Jens, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
2
$begingroup$
Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem.
$endgroup$
– Rory Daulton
Jan 15 at 1:50
1
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Yes, even if that is just providing further details as to precisely what part of the textbook explanation you don't follow. I would assume Olympiad problems are not your homework, but a task you are working on for enrichment.
$endgroup$
– bounceback
Jan 15 at 5:06
add a comment |
$begingroup$
This is a question from the 1998 math olympiad I found 2 solutions in the following places: book1 pg.32 book2 pg.163
however, I was having trouble understanding them. Any help would be appreciated
There is a 98 × 98 chessboard, colored in the usual way. One
can select any rectangle with sides on the lines of the chessboard
and as a result, the colors in the selected rectangle switch
(black becomes white and white becomes black). What is the minimum number
of changes needed to make the chessboard all one color?
sequences-and-series combinatorics algebra-precalculus chessboard
$endgroup$
This is a question from the 1998 math olympiad I found 2 solutions in the following places: book1 pg.32 book2 pg.163
however, I was having trouble understanding them. Any help would be appreciated
There is a 98 × 98 chessboard, colored in the usual way. One
can select any rectangle with sides on the lines of the chessboard
and as a result, the colors in the selected rectangle switch
(black becomes white and white becomes black). What is the minimum number
of changes needed to make the chessboard all one color?
sequences-and-series combinatorics algebra-precalculus chessboard
sequences-and-series combinatorics algebra-precalculus chessboard
edited Jan 15 at 4:42
asked Jan 15 at 1:46
user634856
closed as off-topic by Rory Daulton, Adrian Keister, Jens, Holo, user91500 Jan 15 at 6:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Rory Daulton, Adrian Keister, Jens, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Rory Daulton, Adrian Keister, Jens, Holo, user91500 Jan 15 at 6:40
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Rory Daulton, Adrian Keister, Jens, user91500
If this question can be reworded to fit the rules in the help center, please edit the question.
2
$begingroup$
Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem.
$endgroup$
– Rory Daulton
Jan 15 at 1:50
1
$begingroup$
Yes, even if that is just providing further details as to precisely what part of the textbook explanation you don't follow. I would assume Olympiad problems are not your homework, but a task you are working on for enrichment.
$endgroup$
– bounceback
Jan 15 at 5:06
add a comment |
2
$begingroup$
Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem.
$endgroup$
– Rory Daulton
Jan 15 at 1:50
1
$begingroup$
Yes, even if that is just providing further details as to precisely what part of the textbook explanation you don't follow. I would assume Olympiad problems are not your homework, but a task you are working on for enrichment.
$endgroup$
– bounceback
Jan 15 at 5:06
2
2
$begingroup$
Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem.
$endgroup$
– Rory Daulton
Jan 15 at 1:50
$begingroup$
Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem.
$endgroup$
– Rory Daulton
Jan 15 at 1:50
1
1
$begingroup$
Yes, even if that is just providing further details as to precisely what part of the textbook explanation you don't follow. I would assume Olympiad problems are not your homework, but a task you are working on for enrichment.
$endgroup$
– bounceback
Jan 15 at 5:06
$begingroup$
Yes, even if that is just providing further details as to precisely what part of the textbook explanation you don't follow. I would assume Olympiad problems are not your homework, but a task you are working on for enrichment.
$endgroup$
– bounceback
Jan 15 at 5:06
add a comment |
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$begingroup$
Welcome to MathSE! You are more likely to get a good answer to your question if you follow a few guidelines. In particular, what have you tried so far, and just where are you stuck? This is not a homework-answering site: many of us want to see that you have put significant work into the problem.
$endgroup$
– Rory Daulton
Jan 15 at 1:50
1
$begingroup$
Yes, even if that is just providing further details as to precisely what part of the textbook explanation you don't follow. I would assume Olympiad problems are not your homework, but a task you are working on for enrichment.
$endgroup$
– bounceback
Jan 15 at 5:06