Maximize the sum modulo m. [closed] Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)How do I solve this problem on maximizing sum modulo a given number?Lagrange's Theorem on sum of four squares.How to maximize sum of pairwise multiplication of array elements taken one from each array?Is it known whether any positive integer can be written as the sum of $n$ different squares?Estimating the sum of reciprocals of products of two primesDetermine all ways the integer $2015$ can be written as a sum of consecutive positive integers.On the sum of digits of $f(n)$Symmetric sum of $n$-th residues modulo $p$Find subset of size $k$ such that it maximizes the metric distance of the elements.Efficient calculation of sum over divisor sum (mod p)Maximize multivariable integer function
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Maximize the sum modulo m. [closed]
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)How do I solve this problem on maximizing sum modulo a given number?Lagrange's Theorem on sum of four squares.How to maximize sum of pairwise multiplication of array elements taken one from each array?Is it known whether any positive integer can be written as the sum of $n$ different squares?Estimating the sum of reciprocals of products of two primesDetermine all ways the integer $2015$ can be written as a sum of consecutive positive integers.On the sum of digits of $f(n)$Symmetric sum of $n$-th residues modulo $p$Find subset of size $k$ such that it maximizes the metric distance of the elements.Efficient calculation of sum over divisor sum (mod p)Maximize multivariable integer function
$begingroup$
I have few known quantities a1, a2, ..., an and m. (All positive)
I want to maximize the sum the S = (a1*x1 + a2*x2 + ... + an*xn) % m where xi >= 0.
number-theory
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
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closed as off-topic by Arnaud D., YiFan, Javi, Leucippus, max_zorn Apr 8 at 21:50
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." – Arnaud D., YiFan, Javi, Leucippus, max_zorn
add a comment |
$begingroup$
I have few known quantities a1, a2, ..., an and m. (All positive)
I want to maximize the sum the S = (a1*x1 + a2*x2 + ... + an*xn) % m where xi >= 0.
number-theory
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
$endgroup$
closed as off-topic by Arnaud D., YiFan, Javi, Leucippus, max_zorn Apr 8 at 21:50
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." – Arnaud D., YiFan, Javi, Leucippus, max_zorn
$begingroup$
@DietrichBurde m-1 is the maximum modulo m. How will the answer be m-1? Can you explain?
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– Saurabh Jain
Apr 8 at 19:29
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@DietrichBurde Actually, the maximum value "modulo $m$" would be $m$ minus the gcd of all the $a_i$ and $m$. This is shown & explained in the answer to a basic duplicate of this question at How do I solve this problem on maximizing sum modulo a given number?.
$endgroup$
– John Omielan
Apr 8 at 22:28
add a comment |
$begingroup$
I have few known quantities a1, a2, ..., an and m. (All positive)
I want to maximize the sum the S = (a1*x1 + a2*x2 + ... + an*xn) % m where xi >= 0.
number-theory
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
$endgroup$
I have few known quantities a1, a2, ..., an and m. (All positive)
I want to maximize the sum the S = (a1*x1 + a2*x2 + ... + an*xn) % m where xi >= 0.
number-theory
number-theory
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
edited Apr 8 at 19:39
Saurabh Jain
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
asked Apr 8 at 19:22
Saurabh JainSaurabh Jain
114
114
closed as off-topic by Arnaud D., YiFan, Javi, Leucippus, max_zorn Apr 8 at 21:50
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." – Arnaud D., YiFan, Javi, Leucippus, max_zorn
closed as off-topic by Arnaud D., YiFan, Javi, Leucippus, max_zorn Apr 8 at 21:50
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." – Arnaud D., YiFan, Javi, Leucippus, max_zorn
$begingroup$
@DietrichBurde m-1 is the maximum modulo m. How will the answer be m-1? Can you explain?
$endgroup$
– Saurabh Jain
Apr 8 at 19:29
$begingroup$
@DietrichBurde Actually, the maximum value "modulo $m$" would be $m$ minus the gcd of all the $a_i$ and $m$. This is shown & explained in the answer to a basic duplicate of this question at How do I solve this problem on maximizing sum modulo a given number?.
$endgroup$
– John Omielan
Apr 8 at 22:28
add a comment |
$begingroup$
@DietrichBurde m-1 is the maximum modulo m. How will the answer be m-1? Can you explain?
$endgroup$
– Saurabh Jain
Apr 8 at 19:29
$begingroup$
@DietrichBurde Actually, the maximum value "modulo $m$" would be $m$ minus the gcd of all the $a_i$ and $m$. This is shown & explained in the answer to a basic duplicate of this question at How do I solve this problem on maximizing sum modulo a given number?.
$endgroup$
– John Omielan
Apr 8 at 22:28
$begingroup$
@DietrichBurde m-1 is the maximum modulo m. How will the answer be m-1? Can you explain?
$endgroup$
– Saurabh Jain
Apr 8 at 19:29
$begingroup$
@DietrichBurde m-1 is the maximum modulo m. How will the answer be m-1? Can you explain?
$endgroup$
– Saurabh Jain
Apr 8 at 19:29
$begingroup$
@DietrichBurde Actually, the maximum value "modulo $m$" would be $m$ minus the gcd of all the $a_i$ and $m$. This is shown & explained in the answer to a basic duplicate of this question at How do I solve this problem on maximizing sum modulo a given number?.
$endgroup$
– John Omielan
Apr 8 at 22:28
$begingroup$
@DietrichBurde Actually, the maximum value "modulo $m$" would be $m$ minus the gcd of all the $a_i$ and $m$. This is shown & explained in the answer to a basic duplicate of this question at How do I solve this problem on maximizing sum modulo a given number?.
$endgroup$
– John Omielan
Apr 8 at 22:28
add a comment |
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$begingroup$
@DietrichBurde m-1 is the maximum modulo m. How will the answer be m-1? Can you explain?
$endgroup$
– Saurabh Jain
Apr 8 at 19:29
$begingroup$
@DietrichBurde Actually, the maximum value "modulo $m$" would be $m$ minus the gcd of all the $a_i$ and $m$. This is shown & explained in the answer to a basic duplicate of this question at How do I solve this problem on maximizing sum modulo a given number?.
$endgroup$
– John Omielan
Apr 8 at 22:28