Telephone Exchange Vandalism [on hold]
$begingroup$
Our telephone exchange has 1000 wire-based connections. You dial a number, you get connected to the exchange and they put you through.
Yesterday, vandals broke in and disconnected all the wires. Your job is to reconnect them.
You can phone any number, and you get a conversation such as:
Hello, is this 123456?
No, this is 654321.
Or maybe a positive result!
How quickly can you restore our telephone exchange?
combinatorics
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
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put on hold as off-topic by Deusovi♦ 3 hours ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is off-topic as it appears to be a mathematics problem, as opposed to a mathematical puzzle. For more info, see "Are math-textbook-style problems on topic?" on meta." – Deusovi
If this question can be reworded to fit the rules in the help center, please edit the question.
|
show 1 more comment
$begingroup$
Our telephone exchange has 1000 wire-based connections. You dial a number, you get connected to the exchange and they put you through.
Yesterday, vandals broke in and disconnected all the wires. Your job is to reconnect them.
You can phone any number, and you get a conversation such as:
Hello, is this 123456?
No, this is 654321.
Or maybe a positive result!
How quickly can you restore our telephone exchange?
combinatorics
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
$endgroup$
put on hold as off-topic by Deusovi♦ 3 hours ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is off-topic as it appears to be a mathematics problem, as opposed to a mathematical puzzle. For more info, see "Are math-textbook-style problems on topic?" on meta." – Deusovi
If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
What do you mean by "how quickly"? Minimum number of calls? Some other metric? This seems either "unclear what you're asking" or a pure textbook question.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
how long will it take?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
How long according to what? How long does a call take? How long does adding a wire take?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
can you have the job done by the end of today? tomorrow? next week? blah blah blah. More seriously, how many calls will you need to make?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
Is there anything that makes this not just a pure math problem, where the answer is "999 calls"?
$endgroup$
– Deusovi♦
3 hours ago
|
show 1 more comment
$begingroup$
Our telephone exchange has 1000 wire-based connections. You dial a number, you get connected to the exchange and they put you through.
Yesterday, vandals broke in and disconnected all the wires. Your job is to reconnect them.
You can phone any number, and you get a conversation such as:
Hello, is this 123456?
No, this is 654321.
Or maybe a positive result!
How quickly can you restore our telephone exchange?
combinatorics
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
$endgroup$
Our telephone exchange has 1000 wire-based connections. You dial a number, you get connected to the exchange and they put you through.
Yesterday, vandals broke in and disconnected all the wires. Your job is to reconnect them.
You can phone any number, and you get a conversation such as:
Hello, is this 123456?
No, this is 654321.
Or maybe a positive result!
How quickly can you restore our telephone exchange?
combinatorics
combinatorics
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
asked 5 hours ago
JonMark PerryJonMark Perry
18.5k63888
18.5k63888
put on hold as off-topic by Deusovi♦ 3 hours ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is off-topic as it appears to be a mathematics problem, as opposed to a mathematical puzzle. For more info, see "Are math-textbook-style problems on topic?" on meta." – Deusovi
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by Deusovi♦ 3 hours ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is off-topic as it appears to be a mathematics problem, as opposed to a mathematical puzzle. For more info, see "Are math-textbook-style problems on topic?" on meta." – Deusovi
If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
What do you mean by "how quickly"? Minimum number of calls? Some other metric? This seems either "unclear what you're asking" or a pure textbook question.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
how long will it take?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
How long according to what? How long does a call take? How long does adding a wire take?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
can you have the job done by the end of today? tomorrow? next week? blah blah blah. More seriously, how many calls will you need to make?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
Is there anything that makes this not just a pure math problem, where the answer is "999 calls"?
$endgroup$
– Deusovi♦
3 hours ago
|
show 1 more comment
$begingroup$
What do you mean by "how quickly"? Minimum number of calls? Some other metric? This seems either "unclear what you're asking" or a pure textbook question.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
how long will it take?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
How long according to what? How long does a call take? How long does adding a wire take?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
can you have the job done by the end of today? tomorrow? next week? blah blah blah. More seriously, how many calls will you need to make?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
Is there anything that makes this not just a pure math problem, where the answer is "999 calls"?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
What do you mean by "how quickly"? Minimum number of calls? Some other metric? This seems either "unclear what you're asking" or a pure textbook question.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
What do you mean by "how quickly"? Minimum number of calls? Some other metric? This seems either "unclear what you're asking" or a pure textbook question.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
how long will it take?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
how long will it take?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
How long according to what? How long does a call take? How long does adding a wire take?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
How long according to what? How long does a call take? How long does adding a wire take?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
can you have the job done by the end of today? tomorrow? next week? blah blah blah. More seriously, how many calls will you need to make?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
can you have the job done by the end of today? tomorrow? next week? blah blah blah. More seriously, how many calls will you need to make?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
Is there anything that makes this not just a pure math problem, where the answer is "999 calls"?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
Is there anything that makes this not just a pure math problem, where the answer is "999 calls"?
$endgroup$
– Deusovi♦
3 hours ago
|
show 1 more comment
1 Answer
1
active
oldest
votes
$begingroup$
if this question was asked
For 2 wire-based connections, the answer would be $1$. we try first slot, if it fails, we know that that it needed to be the second one, while the other number would be the first one.
if asked
for 3, the answer would be $1+2$, same logic, we try one of them, if failed, we try another one for a number, if it fails again then we know that it should be connected to the third one, we have 2 connection to connect left, previous method is applicable.
if asked
for 4, the answer would be $1+2+3$ etc
Therefore, we can conclude that the actual answer needed to be
$1+2+3+....+999=frac{999times1000}{2}=499,500$
answered 4 hours ago
OrayOray
15.9k436154
$endgroup$
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
if this question was asked
For 2 wire-based connections, the answer would be $1$. we try first slot, if it fails, we know that that it needed to be the second one, while the other number would be the first one.
if asked
for 3, the answer would be $1+2$, same logic, we try one of them, if failed, we try another one for a number, if it fails again then we know that it should be connected to the third one, we have 2 connection to connect left, previous method is applicable.
if asked
for 4, the answer would be $1+2+3$ etc
Therefore, we can conclude that the actual answer needed to be
$1+2+3+....+999=frac{999times1000}{2}=499,500$
answered 4 hours ago
OrayOray
15.9k436154
$endgroup$
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
add a comment |
$begingroup$
if this question was asked
For 2 wire-based connections, the answer would be $1$. we try first slot, if it fails, we know that that it needed to be the second one, while the other number would be the first one.
if asked
for 3, the answer would be $1+2$, same logic, we try one of them, if failed, we try another one for a number, if it fails again then we know that it should be connected to the third one, we have 2 connection to connect left, previous method is applicable.
if asked
for 4, the answer would be $1+2+3$ etc
Therefore, we can conclude that the actual answer needed to be
$1+2+3+....+999=frac{999times1000}{2}=499,500$
answered 4 hours ago
OrayOray
15.9k436154
$endgroup$
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
add a comment |
$begingroup$
if this question was asked
For 2 wire-based connections, the answer would be $1$. we try first slot, if it fails, we know that that it needed to be the second one, while the other number would be the first one.
if asked
for 3, the answer would be $1+2$, same logic, we try one of them, if failed, we try another one for a number, if it fails again then we know that it should be connected to the third one, we have 2 connection to connect left, previous method is applicable.
if asked
for 4, the answer would be $1+2+3$ etc
Therefore, we can conclude that the actual answer needed to be
$1+2+3+....+999=frac{999times1000}{2}=499,500$
answered 4 hours ago
OrayOray
15.9k436154
$endgroup$
if this question was asked
For 2 wire-based connections, the answer would be $1$. we try first slot, if it fails, we know that that it needed to be the second one, while the other number would be the first one.
if asked
for 3, the answer would be $1+2$, same logic, we try one of them, if failed, we try another one for a number, if it fails again then we know that it should be connected to the third one, we have 2 connection to connect left, previous method is applicable.
if asked
for 4, the answer would be $1+2+3$ etc
Therefore, we can conclude that the actual answer needed to be
$1+2+3+....+999=frac{999times1000}{2}=499,500$
answered 4 hours ago
OrayOray
15.9k436154
answered 4 hours ago
OrayOray
15.9k436154
answered 4 hours ago
OrayOray
15.9k436154
answered 4 hours ago
OrayOray
15.9k436154
15.9k436154
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
add a comment |
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
But you can just write down the numbers when you hear them, so you only need 999 calls.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
$begingroup$
@Deusovi oww true :)
$endgroup$
– Oray
3 hours ago
add a comment |
$begingroup$
What do you mean by "how quickly"? Minimum number of calls? Some other metric? This seems either "unclear what you're asking" or a pure textbook question.
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
how long will it take?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
How long according to what? How long does a call take? How long does adding a wire take?
$endgroup$
– Deusovi♦
3 hours ago
$begingroup$
can you have the job done by the end of today? tomorrow? next week? blah blah blah. More seriously, how many calls will you need to make?
$endgroup$
– JonMark Perry
3 hours ago
$begingroup$
Is there anything that makes this not just a pure math problem, where the answer is "999 calls"?
$endgroup$
– Deusovi♦
3 hours ago