Scheduling based problem
$begingroup$
Can you place these numbers into 5 rows of 4 such that each row totals 20?
1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8
mathematics packing
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
$endgroup$
add a comment |
$begingroup$
Can you place these numbers into 5 rows of 4 such that each row totals 20?
1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8
mathematics packing
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
$endgroup$
add a comment |
$begingroup$
Can you place these numbers into 5 rows of 4 such that each row totals 20?
1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8
mathematics packing
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
$endgroup$
Can you place these numbers into 5 rows of 4 such that each row totals 20?
1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8
mathematics packing
mathematics packing
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
asked 2 hours ago
JonMark PerryJonMark Perry
20.9k64199
20.9k64199
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Sure.
1,5,6,8
2,4,6,8
3,4,5,8
4,4,5,7
5,5,5,5
Method:
Started from the bigger numbers, and partitioned into 5 parts of 20: {8,8,4}, {8,7,5} and so on.
Then swapped a big number with two smaller ones (with the same sum) on another row until I had 4 numbers on each row.
With some fiddling, it's also possible to get all the columns to add up to 25:
1,8,6,5
5,4,7,4
5,5,5,5
6,4,2,8
8,4,5,3
And here's a magic square (with duplicates, unavoidably) followed by a row of fives:
1,6,8,5
5,7,4,4
8,5,4,3
6,2,4,8
5,5,5,5
answered 1 hour ago
BassBass
31.5k474192
$endgroup$
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
add a comment |
$begingroup$
This one works
7 3 5 5
8 2 5 5
6 4 5 5
8 6 1 5
8 4 4 4
Method :
Write randomly the numbers on a piece of paper during 5 min until the solution appears magically.
answered 1 hour ago
NarloreNarlore
34615
$endgroup$
add a comment |
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "559"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f83173%2fscheduling-based-problem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Sure.
1,5,6,8
2,4,6,8
3,4,5,8
4,4,5,7
5,5,5,5
Method:
Started from the bigger numbers, and partitioned into 5 parts of 20: {8,8,4}, {8,7,5} and so on.
Then swapped a big number with two smaller ones (with the same sum) on another row until I had 4 numbers on each row.
With some fiddling, it's also possible to get all the columns to add up to 25:
1,8,6,5
5,4,7,4
5,5,5,5
6,4,2,8
8,4,5,3
And here's a magic square (with duplicates, unavoidably) followed by a row of fives:
1,6,8,5
5,7,4,4
8,5,4,3
6,2,4,8
5,5,5,5
answered 1 hour ago
BassBass
31.5k474192
$endgroup$
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
add a comment |
$begingroup$
Sure.
1,5,6,8
2,4,6,8
3,4,5,8
4,4,5,7
5,5,5,5
Method:
Started from the bigger numbers, and partitioned into 5 parts of 20: {8,8,4}, {8,7,5} and so on.
Then swapped a big number with two smaller ones (with the same sum) on another row until I had 4 numbers on each row.
With some fiddling, it's also possible to get all the columns to add up to 25:
1,8,6,5
5,4,7,4
5,5,5,5
6,4,2,8
8,4,5,3
And here's a magic square (with duplicates, unavoidably) followed by a row of fives:
1,6,8,5
5,7,4,4
8,5,4,3
6,2,4,8
5,5,5,5
answered 1 hour ago
BassBass
31.5k474192
$endgroup$
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
add a comment |
$begingroup$
Sure.
1,5,6,8
2,4,6,8
3,4,5,8
4,4,5,7
5,5,5,5
Method:
Started from the bigger numbers, and partitioned into 5 parts of 20: {8,8,4}, {8,7,5} and so on.
Then swapped a big number with two smaller ones (with the same sum) on another row until I had 4 numbers on each row.
With some fiddling, it's also possible to get all the columns to add up to 25:
1,8,6,5
5,4,7,4
5,5,5,5
6,4,2,8
8,4,5,3
And here's a magic square (with duplicates, unavoidably) followed by a row of fives:
1,6,8,5
5,7,4,4
8,5,4,3
6,2,4,8
5,5,5,5
answered 1 hour ago
BassBass
31.5k474192
$endgroup$
Sure.
1,5,6,8
2,4,6,8
3,4,5,8
4,4,5,7
5,5,5,5
Method:
Started from the bigger numbers, and partitioned into 5 parts of 20: {8,8,4}, {8,7,5} and so on.
Then swapped a big number with two smaller ones (with the same sum) on another row until I had 4 numbers on each row.
With some fiddling, it's also possible to get all the columns to add up to 25:
1,8,6,5
5,4,7,4
5,5,5,5
6,4,2,8
8,4,5,3
And here's a magic square (with duplicates, unavoidably) followed by a row of fives:
1,6,8,5
5,7,4,4
8,5,4,3
6,2,4,8
5,5,5,5
answered 1 hour ago
BassBass
31.5k474192
edited 1 hour ago
answered 1 hour ago
BassBass
31.5k474192
answered 1 hour ago
BassBass
31.5k474192
answered 1 hour ago
BassBass
31.5k474192
31.5k474192
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
add a comment |
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I'm late ! But I have differents rows :D
$endgroup$
– Narlore
1 hour ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
$begingroup$
I like the way you went on to challenge yourself by finding solutions to your own proposed questions.
$endgroup$
– 5202456
28 mins ago
add a comment |
$begingroup$
This one works
7 3 5 5
8 2 5 5
6 4 5 5
8 6 1 5
8 4 4 4
Method :
Write randomly the numbers on a piece of paper during 5 min until the solution appears magically.
answered 1 hour ago
NarloreNarlore
34615
$endgroup$
add a comment |
$begingroup$
This one works
7 3 5 5
8 2 5 5
6 4 5 5
8 6 1 5
8 4 4 4
Method :
Write randomly the numbers on a piece of paper during 5 min until the solution appears magically.
answered 1 hour ago
NarloreNarlore
34615
$endgroup$
add a comment |
$begingroup$
This one works
7 3 5 5
8 2 5 5
6 4 5 5
8 6 1 5
8 4 4 4
Method :
Write randomly the numbers on a piece of paper during 5 min until the solution appears magically.
answered 1 hour ago
NarloreNarlore
34615
$endgroup$
This one works
7 3 5 5
8 2 5 5
6 4 5 5
8 6 1 5
8 4 4 4
Method :
Write randomly the numbers on a piece of paper during 5 min until the solution appears magically.
answered 1 hour ago
NarloreNarlore
34615
edited 1 hour ago
answered 1 hour ago
NarloreNarlore
34615
answered 1 hour ago
NarloreNarlore
34615
answered 1 hour ago
NarloreNarlore
34615
34615
add a comment |
add a comment |
Thanks for contributing an answer to Puzzling Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f83173%2fscheduling-based-problem%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
