Rod Cutting Problem
Here given code implementation process.
// C program
// Rod Cutting Problem
#include <stdio.h>
#include <limits.h>
// Return a maximum value in given two numbers
int max_value(int a, int b)
{
if (a > b)
{
return a;
}
else
{
return b;
}
}
int cut_rod(int price[], int n)
{
//Auxiliary space to calculate result
int result[n + 1];
int max_val = INT_MIN;
//Loop controlling variables
int i = 0;
int j = 0;
//Set the first result value
result[i] = 0;
//Outer loop
for (i = 1; i <= n; i++)
{
//Inner loop
for (j = 0; j < i; j++)
{
max_val = max_value(max_val, price[j] + result[i - j - 1]);
}
// Put the calculated max value
result[i] = max_val;
// Reset the max value
max_val = INT_MIN;
}
return result[n];
}
int main()
{
int price[] = {
1,
2,
5,
13,
17,
19,
19,
24
};
// Actual rod size from (1 to n)
// Get total number of price
int size = sizeof(price) / sizeof(price[0]);
printf("Max profit are %d", cut_rod(price, size));
return 0;
}Output
Max profit are 26// Java Program
// Rod Cutting Problem
class RodCutting
{
// Return a maximum value in given two numbers
public int max_value(int a, int b)
{
if (a > b)
{
return a;
}
else
{
return b;
}
}
public int cut_rod(int[] price, int n)
{
//Auxiliary space to calculate result
int[] result = new int[n + 1];
int max_val = Integer.MIN_VALUE;
//Loop controlling variables
int i = 0;
int j = 0;
//Set the first result value
result[i] = 0;
//Outer loop
for (i = 1; i <= n; i++)
{
//Inner loop
for (j = 0; j < i; j++)
{
max_val = max_value(max_val, price[j] + result[i - j - 1]);
}
// Put the calculated max value
result[i] = max_val;
// Reset the max value
max_val = Integer.MIN_VALUE;
}
return result[n];
}
public static void main(String[] args)
{
//Make object
RodCutting obj = new RodCutting();
int[] price = {
1,
2,
5,
13,
17,
19,
19,
24
};
// Get total number of price
int size = price.length;
System.out.print("Max profit are " + obj.cut_rod(price, size));
}
}Output
Max profit are 26//Include header file
#include <iostream>
#include<limits.h>
using namespace std;
// C++ Program
// Rod Cutting Problem
class RodCutting
{
public:
// Return a maximum value in given two numbers
int max_value(int a, int b)
{
if (a > b)
{
return a;
}
else
{
return b;
}
}
int cut_rod(int price[], int n)
{
//Auxiliary space to calculate result
int result[n+1];
int max_val = INT_MIN;
//Loop controlling variables
int i = 0;
int j = 0;
//Set the first result value
result[i] = 0;
//Outer loop
for (i = 1; i <= n; i++)
{
//Inner loop
for (j = 0; j < i; j++)
{
max_val = this->max_value(max_val, price[j] + result[i - j - 1]);
}
// Put the calculated max value
result[i] = max_val;
// Reset the max value
max_val = INT_MIN;
}
return result[n];
}
};
int main()
{
//Make object
RodCutting obj = RodCutting();
int price[] = {
1 , 2 , 5 , 13 , 17 , 19 , 19 , 24
};
// Get total number of price
int size = sizeof(price) / sizeof(price[0]);
cout << "Max profit are " << obj.cut_rod(price, size);
return 0;
}Output
Max profit are 26//Include namespace system
using System;
// C# Program
// Rod Cutting Problem
class RodCutting
{
// Return a maximum value in given two numbers
public int max_value(int a, int b)
{
if (a > b)
{
return a;
}
else
{
return b;
}
}
public int cut_rod(int[] price, int n)
{
//Auxiliary space to calculate result
int[] result = new int[n + 1];
int max_val = int.MinValue;
//Loop controlling variables
int i = 0;
int j = 0;
//Set the first result value
result[i] = 0;
//Outer loop
for (i = 1; i <= n; i++)
{
//Inner loop
for (j = 0; j < i; j++)
{
max_val = max_value(max_val, price[j] + result[i - j - 1]);
}
// Put the calculated max value
result[i] = max_val;
// Reset the max value
max_val = int.MinValue;
}
return result[n];
}
public static void Main(String[] args)
{
//Make object
RodCutting obj = new RodCutting();
int[] price = {
1 , 2 , 5 , 13 , 17 , 19 , 19 , 24
};
// Get total number of price
int size = price.Length;
Console.Write("Max profit are " + obj.cut_rod(price, size));
}
}Output
Max profit are 26<?php
// Php Program
// Rod Cutting Problem
class RodCutting
{
// Return a maximum value in given two numbers
public function max_value($a, $b)
{
if ($a > $b)
{
return $a;
}
else
{
return $b;
}
}
public function cut_rod( $price, $n)
{
//Auxiliary space to calculate result
$result = array_fill(0, $n + 1, 0);
$max_val = -PHP_INT_MAX;
//Loop controlling variables
$i = 0;
$j = 0;
//Set the first result value
$result[$i] = 0;
//Outer loop
for ($i = 1; $i <= $n; $i++)
{
//Inner loop
for ($j = 0; $j < $i; $j++)
{
$max_val = $this->max_value($max_val, $price[$j] + $result[$i - $j - 1]);
}
// Put the calculated max value
$result[$i] = $max_val;
// Reset the max value
$max_val = -PHP_INT_MAX;
}
return $result[$n];
}
}
function main()
{
//Make object
$obj = new RodCutting();
$price = array(1, 2, 5, 13, 17, 19, 19, 24);
// Get total number of price
$size = count($price);
echo "Max profit are ". $obj->cut_rod($price, $size);
}
main();Output
Max profit are 26// Node Js Program
// Rod Cutting Problem
class RodCutting
{
// Return a maximum value in given two numbers
max_value(a, b)
{
if (a > b)
{
return a;
}
else
{
return b;
}
}
cut_rod(price, n)
{
//Auxiliary space to calculate result
var result = Array(n + 1).fill(0);
var max_val = -Number.MAX_VALUE;
//Loop controlling variables
var i = 0;
var j = 0;
//Outer loop
for (i = 1; i <= n; i++)
{
//Inner loop
for (j = 0; j < i; j++)
{
max_val = this.max_value(max_val, price[j] + result[i - j - 1]);
}
// Put the calculated max value
result[i] = max_val;
// Reset the max value
max_val = -Number.MAX_VALUE;
}
return result[n];
}
}
function main()
{
//Make object
var obj = new RodCutting();
var price = [1, 2, 5, 13, 17, 19, 19, 24];
// Get total number of price
var size = price.length;
process.stdout.write("Max profit are " + obj.cut_rod(price, size));
}
main();Output
Max profit are 26import sys
# Python 3 Program
# Rod Cutting Problem
class RodCutting :
# Return a maximum value in given two numbers
def max_value(self, a, b) :
if (a > b) :
return a
else :
return b
def cut_rod(self, price, n) :
# Auxiliary space to calculate result
result = [0] * (n + 1)
max_val = -sys.maxsize
# Loop controlling variables
i = 1
j = 0
while (i <= n) :
# Inner loop
j = 0
while (j < i) :
max_val = self.max_value(max_val, price[j] + result[i - j - 1])
j += 1
# Put the calculated max value
result[i] = max_val
# Reset the max value
max_val = -sys.maxsize
i += 1
return result[n]
def main() :
# Make object
obj = RodCutting()
price = [1, 2, 5, 13, 17, 19, 19, 24]
# Get total number of price
size = len(price)
print("Max profit are ", obj.cut_rod(price, size), end = "")
if __name__ == "__main__": main()Output
Max profit are 26# Ruby Program
# Rod Cutting Problem
class RodCutting
# Return a maximum value in given two numbers
def max_value(a, b)
if (a > b)
return a
else
return b
end
end
def cut_rod(price, n)
# Auxiliary space to calculate result
result = Array.new(n + 1) {0}
max_val = -(2 ** (0. size * 8 - 2))
# Loop controlling variables
i = 1
j = 0
while (i <= n)
# Inner loop
j = 0
while (j < i)
max_val = self.max_value(max_val, price[j] + result[i - j - 1])
j += 1
end
# Put the calculated max value
result[i] = max_val
# Reset the max value
max_val = -(2 ** (0. size * 8 - 2))
i += 1
end
return result[n]
end
end
def main()
# Make object
obj = RodCutting.new()
price = [1, 2, 5, 13, 17, 19, 19, 24]
# Get total number of price
size = price.length
print("Max profit are ", obj.cut_rod(price, size))
end
main()Output
Max profit are 26// Scala Program
// Rod Cutting Problem
class RodCutting
{
// Return a maximum value in given two numbers
def max_value(a: Int, b: Int): Int = {
if (a > b)
{
return a;
}
else
{
return b;
}
}
def cut_rod(price: Array[Int], n: Int): Int = {
//Auxiliary space to calculate result
var result: Array[Int] = Array.fill[Int](n + 1)(0);
var max_val: Int = Int.MinValue;
//Loop controlling variables
var i: Int = 1;
var j: Int = 0;
while (i <= n)
{
//Inner loop
j = 0;
while (j < i)
{
max_val = max_value(max_val, price(j) + result(i - j - 1));
j += 1;
}
// Put the calculated max value
result(i) = max_val;
// Reset the max value
max_val = Int.MinValue;
i += 1;
}
return result(n);
}
}
object Main
{
def main(args: Array[String]): Unit = {
//Make object
var obj: RodCutting = new RodCutting();
var price: Array[Int] = Array(1, 2, 5, 13, 17, 19, 19, 24);
// Get total number of price
var size: Int = price.length;
print("Max profit are " + obj.cut_rod(price, size));
}
}Output
Max profit are 26// Swift 4 Program
// Rod Cutting Problem
class RodCutting
{
// Return a maximum value in given two numbers
func max_value(_ a: Int, _ b: Int) -> Int
{
if (a > b)
{
return a;
}
else
{
return b;
}
}
func cut_rod(_ price: [Int], _ n: Int) -> Int
{
//Auxiliary space to calculate result
var result: [Int] = Array(repeating: 0, count: n + 1);
var max_val: Int = Int.min;
//Loop controlling variables
var i: Int = 1;
var j: Int = 0;
while (i <= n)
{
//Inner loop
j = 0;
while (j < i)
{
max_val = self.max_value(max_val, price[j] + result[i - j - 1]);
j += 1;
}
// Put the calculated max value
result[i] = max_val;
// Reset the max value
max_val = Int.min;
i += 1;
}
return result[n];
}
}
func main()
{
//Make object
let obj: RodCutting = RodCutting();
let price: [Int] = [1, 2, 5, 13, 17, 19, 19, 24];
// Get total number of price
let size: Int = price.count;
print("Max profit are ", obj.cut_rod(price, size), terminator: "");
}
main();Output
Max profit are 26
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