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54 lines
1.7 KiB
C
54 lines
1.7 KiB
C
#include<stdio.h>
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void printarray(int p[], int n)
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{
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int i;
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for (i = 0; i < n; i++)
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printf("%d ", p[i]);
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printf("\n");
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}
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void partition(int n)
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{
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int p[n]; // An array to store a partition
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int k = 0; // Index of last element in a partition
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p[k] = n; // Initialize first partition as number itself
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int rem_val;
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// This loop first prints current partition, then generates next
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// partition. The loop stops when the current partition has all 1s
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while (1)
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{
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// print current partition
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printarray(p, k + 1);
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rem_val = 0;
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while (k >= 0 && p[k] == 1)
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{
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rem_val += p[k];
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k--;
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}
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// if k < 0, all the values are 1 so there are no more partitions
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if (k < 0)
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return;
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// Decrease the p[k] found above and adjust the rem_val
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p[k]--;
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rem_val++;
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// If rem_val is more, then the sorted order is violated. Divide
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// rem_val in different values of size p[k] and copy these values at
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// different positions after p[k]
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while (rem_val > p[k])
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{
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p[k + 1] = p[k];
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rem_val = rem_val - p[k];
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k++;
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}
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// Copy rem_val to next position and increment position
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p[k + 1] = rem_val;
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k++;
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}
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}
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int main()
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{
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int num;
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printf("\nEnter a number to perform integer partition: ");
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scanf("%d", &num);
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partition(num);
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return 0;
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} |