80 lines
2.2 KiB
C++
80 lines
2.2 KiB
C++
|
#include<iostream>
|
||
|
using namespace std;
|
||
|
|
||
|
// A utility function to print an array p[] of size 'n'
|
||
|
void printArray(int p[], int n)
|
||
|
{
|
||
|
for (int i = 0; i < n; i++)
|
||
|
cout << p[i] << " ";
|
||
|
cout << endl;
|
||
|
}
|
||
|
|
||
|
void printAllUniqueParts(int n)
|
||
|
{
|
||
|
int p[n]; // An array to store a partition
|
||
|
int k = 0; // Index of last element in a partition
|
||
|
p[k] = n; // Initialize first partition as number itself
|
||
|
// This loop first prints current partition, then generates next
|
||
|
// partition. The loop stops when the current partition has all 1s
|
||
|
while (true)
|
||
|
{
|
||
|
// print current partition
|
||
|
printArray(p, k + 1);
|
||
|
// Generate next partition
|
||
|
// Find the rightmost non-one value in p[]. Also, update the
|
||
|
// rem_val so that we know how much value can be accommodated
|
||
|
int rem_val = 0;
|
||
|
while (k >= 0 && p[k] == 1)
|
||
|
{
|
||
|
rem_val += p[k];
|
||
|
k--;
|
||
|
}
|
||
|
// if k < 0, all the values are 1 so there are no more partitions
|
||
|
if (k < 0)
|
||
|
return;
|
||
|
// Decrease the p[k] found above and adjust the rem_val
|
||
|
p[k]--;
|
||
|
rem_val++;
|
||
|
// If rem_val is more, then the sorted order is violeted. Divide
|
||
|
// rem_val in differnt values of size p[k] and copy these values at
|
||
|
// different positions after p[k]
|
||
|
while (rem_val > p[k])
|
||
|
{
|
||
|
p[k + 1] = p[k];
|
||
|
rem_val = rem_val - p[k];
|
||
|
k++;
|
||
|
}
|
||
|
// Copy rem_val to next position and increment position
|
||
|
p[k + 1] = rem_val;
|
||
|
k++;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
// Driver program to test above functions
|
||
|
int main()
|
||
|
{
|
||
|
cout << "All Unique Partitions of 2 \n";
|
||
|
printAllUniqueParts(2);
|
||
|
cout << "\nAll Unique Partitions of 3 \n";
|
||
|
printAllUniqueParts(3);
|
||
|
cout << "\nAll Unique Partitions of 4 \n";
|
||
|
printAllUniqueParts(4);
|
||
|
return 0;
|
||
|
}
|
||
|
|
||
|
/*
|
||
|
All Unique Partitions of 2
|
||
|
2
|
||
|
1 1
|
||
|
|
||
|
All Unique Partitions of 3
|
||
|
3
|
||
|
2 1
|
||
|
1 1 1
|
||
|
|
||
|
All Unique Partitions of 4
|
||
|
4
|
||
|
3 1
|
||
|
2 2
|
||
|
2 1 1
|
||
|
1 1 1 1
|