# Generate all distinct combinations of N numbers whose sum is X

Here given code implementation process.

``````// C Program
// Generate all distinct combinations of N numbers whose sum is X
#include <stdio.h>

// Display result
void printSequence(int result[], int n)
{
for (int i = 0; i < n; ++i)
{
printf("  %d", result[i]);
}
printf("\n");
}
void findCombination(int value,
int result[],
int index,
int x,
int sum,
int n)
{
if (index == n && x == sum)
{
// Display calculated result
printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
for (int i = value; i < x; ++i)
{
// Collects resultant value
result[index] = i;
findCombination(i + 1,
result,
index + 1,
x,
sum + i,
n);
}
}
// Handles the request to find combination
void combination(int x, int n)
{
if (n <= 0)
{
return;
}
// Collect result
int result[n];
// Test
findCombination(1, result, 0, x, 0, n);
}
int main()
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
combination(15, 4);
return 0;
}``````

#### Output

``````  1  2  3  9
1  2  4  8
1  2  5  7
1  3  4  7
1  3  5  6
2  3  4  6``````
``````// Java Program
// Generate all distinct combinations of N numbers whose sum is X
public class Combinations
{
// Display result
public void printSequence(int[] result, int n)
{
for (int i = 0; i < n; ++i)
{
System.out.print(" " + result[i]);
}
System.out.print("\n");
}
public void findCombination(int value,
int[] result,
int index,
int x,
int sum,
int n)
{
if (index == n && x == sum)
{
// Display calculated result
printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
for (int i = value; i < x; ++i)
{
// Collects resultant value
result[index] = i;
// Find next combination
findCombination(i + 1, result,
index + 1,
x,
sum + i,
n);
}
}
// Handles the request to find combination
public void combination(int x, int n)
{
if (n <= 0)
{
return;
}
// Collect result
int[] result = new int[n];
// Test
findCombination(1, result, 0, x, 0, n);
}
public static void main(String args[])
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}
}``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````// Include header file
#include <iostream>
using namespace std;
// C++ Program
// Generate all distinct combinations of N numbers whose sum is X
class Combinations
{
public:
// Display result
void printSequence(int result[], int n)
{
for (int i = 0; i < n; ++i)
{
cout << " " << result[i];
}
cout << "\n";
}
void findCombination(int value, int result[],
int index, int x, int sum, int n)
{
if (index == n && x == sum)
{
// Display calculated result
this->printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
for (int i = value; i < x; ++i)
{
// Collects resultant value
result[index] = i;
// Find next combination
this->findCombination(i + 1, result,
index + 1, x,
sum + i, n);
}
}
// Handles the request to find combination
void combination(int x, int n)
{
if (n <= 0)
{
return;
}
// Collect result
int result[n];
// Test
this->findCombination(1, result, 0, x, 0, n);
}
};
int main()
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
return 0;
}``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````// Include namespace system
using System;
// Csharp Program
// Generate all distinct combinations of N numbers whose sum is X
public class Combinations
{
// Display result
public void printSequence(int[] result, int n)
{
for (int i = 0; i < n; ++i)
{
Console.Write(" " + result[i]);
}
Console.Write("\n");
}
public void findCombination(int value,
int[] result,
int index, int x, int sum, int n)
{
if (index == n && x == sum)
{
// Display calculated result
this.printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
for (int i = value; i < x; ++i)
{
// Collects resultant value
result[index] = i;
// Find next combination
this.findCombination(i + 1,
result,
index + 1,
x, sum + i, n);
}
}
// Handles the request to find combination
public void combination(int x, int n)
{
if (n <= 0)
{
return;
}
// Collect result
int[] result = new int[n];
// Test
this.findCombination(1, result, 0, x, 0, n);
}
public static void Main(String[] args)
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}
}``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````package main
import "fmt"
// Go Program
// Generate all distinct combinations of N numbers whose sum is X
type Combinations struct {}
func getCombinations() * Combinations {
var me *Combinations = &Combinations {}
return me
}
// Display result
func(this Combinations) printSequence(result[] int, n int) {
for i := 0 ; i < n ; i++ {
fmt.Print(" ", result[i])
}
fmt.Print("\n")
}
func(this Combinations) findCombination(value int, result[] int,
index int, x int, sum int, n int) {
if index == n && x == sum {
// Display calculated result
this.printSequence(result, index)
return
}
if index >= n || sum > x {
// Base case when stop process
return
}
for i := value ; i < x ; i++ {
// Collects resultant value
result[index] = i
// Find next combination
this.findCombination(i + 1, result, index + 1, x, sum + i, n)
}
}
// Handles the request to find combination
func(this Combinations) combination(x, n int) {
if n <= 0 {
return
}
// Collect result
var result = make([] int, n)
// Test
this.findCombination(1, result, 0, x, 0, n)
}
func main() {
var task * Combinations = getCombinations()
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````<?php
// Php Program
// Generate all distinct combinations of N numbers whose sum is X
class Combinations
{
// Display result
public	function printSequence(\$result, \$n)
{
for (\$i = 0; \$i < \$n; ++\$i)
{
echo(" ".\$result[\$i]);
}
echo("\n");
}
public	function findCombination(\$value,
\$result,
\$index,
\$x,
\$sum,
\$n)
{
if (\$index == \$n && \$x == \$sum)
{
// Display calculated result
\$this->printSequence(\$result, \$index);
return;
}
if (\$index >= \$n || \$sum > \$x)
{
// Base case when stop process
return;
}
for (\$i = \$value; \$i < \$x; ++\$i)
{
// Collects resultant value
\$result[\$index] = \$i;
// Find next combination
\$this->findCombination(\$i + 1,
\$result,
\$index + 1,
\$x,
\$sum + \$i,
\$n);
}
}
// Handles the request to find combination
public	function combination(\$x, \$n)
{
if (\$n <= 0)
{
return;
}
// Collect result
\$result = array_fill(0, \$n, 0);
// Test
\$this->findCombination(1, \$result, 0, \$x, 0, \$n);
}
}

function main()
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}
main();``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````// Node JS Program
// Generate all distinct combinations of N numbers whose sum is X
class Combinations
{
// Display result
printSequence(result, n)
{
for (var i = 0; i < n; ++i)
{
process.stdout.write(" " + result[i]);
}
process.stdout.write("\n");
}
findCombination(value, result, index, x, sum, n)
{
if (index == n && x == sum)
{
// Display calculated result
this.printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
for (var i = value; i < x; ++i)
{
// Collects resultant value
result[index] = i;
// Find next combination
this.findCombination(i + 1, result,
index + 1, x, sum + i, n);
}
}
// Handles the request to find combination
combination(x, n)
{
if (n <= 0)
{
return;
}
// Collect result
var result = Array(n).fill(0);
// Test
this.findCombination(1, result, 0, x, 0, n);
}
}

function main()
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}
main();``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````#  Python 3 Program
#  Generate all distinct combinations of N numbers whose sum is X
class Combinations :
#  Display result
def printSequence(self, result, n) :
i = 0
while (i < n) :
print(" ", result[i], end = "")
i += 1

print(end = "\n")

def findCombination(self, value,
result,
index,
x,
sum,
n) :
if (index == n and x == sum) :
#  Display calculated result
self.printSequence(result, index)
return

if (index >= n or sum > x) :
#  Base case when stop process
return

i = value
while (i < x) :
#  Collects resultant value
result[index] = i
#  Find next combination
self.findCombination(i + 1,
result,
index + 1,
x,
sum + i,
n)
i += 1

#  Handles the request to find combination
def combination(self, x, n) :
if (n <= 0) :
return

#  Collect result
result = [0] * (n)
#  Test
self.findCombination(1, result, 0, x, 0, n)

def main() :
#  x = 15 sum
#  n = 4 length
# -----------------
#   1 + 2 + 3 + 9  = 15
#   1 + 2 + 4 + 8  = 15
#   1 + 2 + 5 + 7  = 15
#   1 + 3 + 4 + 7  = 15
#   1 + 3 + 5 + 6  = 15
#   2 + 3 + 4 + 6  = 15
# -----------------

if __name__ == "__main__": main()``````

#### Output

``````  1  2  3  9
1  2  4  8
1  2  5  7
1  3  4  7
1  3  5  6
2  3  4  6``````
``````#  Ruby Program
#  Generate all distinct combinations of N numbers whose sum is X
class Combinations
#  Display result
def printSequence(result, n)
i = 0
while (i < n)
print(" ", result[i])
i += 1
end

print("\n")
end

def findCombination(value, result, index, x, sum, n)
if (index == n && x == sum)
#  Display calculated result
self.printSequence(result, index)
return
end

if (index >= n || sum > x)
#  Base case when stop process
return
end

i = value
while (i < x)
#  Collects resultant value
result[index] = i
#  Find next combination
self.findCombination(i + 1, result,
index + 1, x,
sum + i, n)
i += 1
end

end

#  Handles the request to find combination
def combination(x, n)
if (n <= 0)
return
end

#  Collect result
result = Array.new(n) {0}
#  Test
self.findCombination(1, result, 0, x, 0, n)
end

end

def main()
#  x = 15 sum
#  n = 4 length
# -----------------
#   1 + 2 + 3 + 9  = 15
#   1 + 2 + 4 + 8  = 15
#   1 + 2 + 5 + 7  = 15
#   1 + 3 + 4 + 7  = 15
#   1 + 3 + 5 + 6  = 15
#   2 + 3 + 4 + 6  = 15
# -----------------
end

main()``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6
``````
``````// Scala Program
// Generate all distinct combinations of N numbers whose sum is X
class Combinations()
{
// Display result
def printSequence(result: Array[Int], n: Int): Unit = {
var i: Int = 0;
while (i < n)
{
print(" " + result(i));
i += 1;
}
print("\n");
}
def findCombination(value: Int, result: Array[Int],
index: Int, x: Int, sum: Int, n: Int): Unit = {
if (index == n && x == sum)
{
// Display calculated result
printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
var i: Int = value;
while (i < x)
{
// Collects resultant value
result(index) = i;
// Find next combination
findCombination(i + 1, result,
index + 1, x, sum + i, n);
i += 1;
}
}
// Handles the request to find combination
def combination(x: Int, n: Int): Unit = {
if (n <= 0)
{
return;
}
// Collect result
var result: Array[Int] = Array.fill[Int](n)(0);
// Test
findCombination(1, result, 0, x, 0, n);
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: Combinations = new Combinations();
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}
}``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````
``````// Swift 4 Program
// Generate all distinct combinations of N numbers whose sum is X
class Combinations
{
// Display result
func printSequence(_ result: [Int], _ n: Int)
{
var i: Int = 0;
while (i < n)
{
print(" ", result[i], terminator: "");
i += 1;
}
print(terminator: "\n");
}
func findCombination(_ value: Int,
_ result: inout[Int],
_ index: Int,
_ x: Int,
_ sum: Int,
_ n: Int)
{
if (index == n && x == sum)
{
// Display calculated result
self.printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
var i: Int = value;
while (i < x)
{
// Collects resultant value
result[index] = i;
// Find next combination
self.findCombination(i + 1, &result,
index + 1,
x,
sum + i,
n);
i += 1;
}
}
// Handles the request to find combination
func combination(_ x: Int, _ n: Int)
{
if (n <= 0)
{
return;
}
// Collect result
var result: [Int] = Array(repeating: 0, count: n);
// Test
self.findCombination(1, &result, 0, x, 0, n);
}
}
func main()
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}
main();``````

#### Output

``````  1  2  3  9
1  2  4  8
1  2  5  7
1  3  4  7
1  3  5  6
2  3  4  6``````
``````// Kotlin Program
// Generate all distinct combinations of N numbers whose sum is X
class Combinations
{
// Display result
fun printSequence(result: Array < Int > , n: Int): Unit
{
var i: Int = 0;
while (i < n)
{
print(" " + result[i]);
i += 1;
}
print("\n");
}
fun findCombination(value: Int,
result: Array < Int > ,
index: Int, x: Int,
sum: Int, n: Int): Unit
{
if (index == n && x == sum)
{
// Display calculated result
this.printSequence(result, index);
return;
}
if (index >= n || sum > x)
{
// Base case when stop process
return;
}
var i: Int = value;
while (i < x)
{
// Collects resultant value
result[index] = i;
// Find next combination
this.findCombination(i + 1, result,
index + 1, x,
sum + i, n);
i += 1;
}
}
// Handles the request to find combination
fun combination(x: Int, n: Int): Unit
{
if (n <= 0)
{
return;
}
// Collect result
val result: Array < Int > = Array(n)
{
0
};
// Test
this.findCombination(1, result, 0, x, 0, n);
}
}
fun main(args: Array < String > ): Unit
{
// x = 15 sum
// n = 4 length
//-----------------
//  1 + 2 + 3 + 9  = 15
//  1 + 2 + 4 + 8  = 15
//  1 + 2 + 5 + 7  = 15
//  1 + 3 + 4 + 7  = 15
//  1 + 3 + 5 + 6  = 15
//  2 + 3 + 4 + 6  = 15
//-----------------
}``````

#### Output

`````` 1 2 3 9
1 2 4 8
1 2 5 7
1 3 4 7
1 3 5 6
2 3 4 6``````

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