Dragons and Dragon Slayers
$begingroup$
In the Kingdom, there are 7 dragons and 7 dragon slayers.
Each dragon has ($text{index}times10000$) hit points (i.e. $10,000to70,000$).
Each dragon slayer does ($text{index}times1000$) damage (i.e. $1,000to7,000$).
The local King asks the dragon slayers to slay all the dragons.
Each slay round consists of each dragon slayer each attacking a single dragon.
A dragon slayer cannot attack the same dragon again until he has attacked all remaining dragons.
Dragon slayers don't die.
The King figures it will take them at least $10$ slay rounds (hit point to damage ratio), and offers to pay $2,000,000-(text{number of slay rounds taken}times100,000)$.
Can it be done?
story combinatorics optimization
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
$endgroup$
add a comment |
$begingroup$
In the Kingdom, there are 7 dragons and 7 dragon slayers.
Each dragon has ($text{index}times10000$) hit points (i.e. $10,000to70,000$).
Each dragon slayer does ($text{index}times1000$) damage (i.e. $1,000to7,000$).
The local King asks the dragon slayers to slay all the dragons.
Each slay round consists of each dragon slayer each attacking a single dragon.
A dragon slayer cannot attack the same dragon again until he has attacked all remaining dragons.
Dragon slayers don't die.
The King figures it will take them at least $10$ slay rounds (hit point to damage ratio), and offers to pay $2,000,000-(text{number of slay rounds taken}times100,000)$.
Can it be done?
story combinatorics optimization
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
$endgroup$
$begingroup$
After a slayer attacks each dragon once, may it attack the same dragon 3 times, or must it attack a different dragon each of the last 3 rounds?
$endgroup$
– noedne
22 mins ago
$begingroup$
@noedne; it's in rotation, so abcdefgac isn't allowed unless b has died in the process.
$endgroup$
– JonMark Perry
21 mins ago
$begingroup$
Can slayers attack the same dragon in the same round?
$endgroup$
– noedne
19 mins ago
$begingroup$
@noedne; yes, excess damage is wiped out though
$endgroup$
– JonMark Perry
17 mins ago
add a comment |
$begingroup$
In the Kingdom, there are 7 dragons and 7 dragon slayers.
Each dragon has ($text{index}times10000$) hit points (i.e. $10,000to70,000$).
Each dragon slayer does ($text{index}times1000$) damage (i.e. $1,000to7,000$).
The local King asks the dragon slayers to slay all the dragons.
Each slay round consists of each dragon slayer each attacking a single dragon.
A dragon slayer cannot attack the same dragon again until he has attacked all remaining dragons.
Dragon slayers don't die.
The King figures it will take them at least $10$ slay rounds (hit point to damage ratio), and offers to pay $2,000,000-(text{number of slay rounds taken}times100,000)$.
Can it be done?
story combinatorics optimization
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
$endgroup$
In the Kingdom, there are 7 dragons and 7 dragon slayers.
Each dragon has ($text{index}times10000$) hit points (i.e. $10,000to70,000$).
Each dragon slayer does ($text{index}times1000$) damage (i.e. $1,000to7,000$).
The local King asks the dragon slayers to slay all the dragons.
Each slay round consists of each dragon slayer each attacking a single dragon.
A dragon slayer cannot attack the same dragon again until he has attacked all remaining dragons.
Dragon slayers don't die.
The King figures it will take them at least $10$ slay rounds (hit point to damage ratio), and offers to pay $2,000,000-(text{number of slay rounds taken}times100,000)$.
Can it be done?
story combinatorics optimization
story combinatorics optimization
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
edited 16 mins ago
JonMark Perry
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
asked 26 mins ago
JonMark PerryJonMark Perry
20.7k64199
20.7k64199
$begingroup$
After a slayer attacks each dragon once, may it attack the same dragon 3 times, or must it attack a different dragon each of the last 3 rounds?
$endgroup$
– noedne
22 mins ago
$begingroup$
@noedne; it's in rotation, so abcdefgac isn't allowed unless b has died in the process.
$endgroup$
– JonMark Perry
21 mins ago
$begingroup$
Can slayers attack the same dragon in the same round?
$endgroup$
– noedne
19 mins ago
$begingroup$
@noedne; yes, excess damage is wiped out though
$endgroup$
– JonMark Perry
17 mins ago
add a comment |
$begingroup$
After a slayer attacks each dragon once, may it attack the same dragon 3 times, or must it attack a different dragon each of the last 3 rounds?
$endgroup$
– noedne
22 mins ago
$begingroup$
@noedne; it's in rotation, so abcdefgac isn't allowed unless b has died in the process.
$endgroup$
– JonMark Perry
21 mins ago
$begingroup$
Can slayers attack the same dragon in the same round?
$endgroup$
– noedne
19 mins ago
$begingroup$
@noedne; yes, excess damage is wiped out though
$endgroup$
– JonMark Perry
17 mins ago
$begingroup$
After a slayer attacks each dragon once, may it attack the same dragon 3 times, or must it attack a different dragon each of the last 3 rounds?
$endgroup$
– noedne
22 mins ago
$begingroup$
After a slayer attacks each dragon once, may it attack the same dragon 3 times, or must it attack a different dragon each of the last 3 rounds?
$endgroup$
– noedne
22 mins ago
$begingroup$
@noedne; it's in rotation, so abcdefgac isn't allowed unless b has died in the process.
$endgroup$
– JonMark Perry
21 mins ago
$begingroup$
@noedne; it's in rotation, so abcdefgac isn't allowed unless b has died in the process.
$endgroup$
– JonMark Perry
21 mins ago
$begingroup$
Can slayers attack the same dragon in the same round?
$endgroup$
– noedne
19 mins ago
$begingroup$
Can slayers attack the same dragon in the same round?
$endgroup$
– noedne
19 mins ago
$begingroup$
@noedne; yes, excess damage is wiped out though
$endgroup$
– JonMark Perry
17 mins ago
$begingroup$
@noedne; yes, excess damage is wiped out though
$endgroup$
– JonMark Perry
17 mins ago
add a comment |
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$begingroup$
After a slayer attacks each dragon once, may it attack the same dragon 3 times, or must it attack a different dragon each of the last 3 rounds?
$endgroup$
– noedne
22 mins ago
$begingroup$
@noedne; it's in rotation, so abcdefgac isn't allowed unless b has died in the process.
$endgroup$
– JonMark Perry
21 mins ago
$begingroup$
Can slayers attack the same dragon in the same round?
$endgroup$
– noedne
19 mins ago
$begingroup$
@noedne; yes, excess damage is wiped out though
$endgroup$
– JonMark Perry
17 mins ago