子序列问题

input arr={10, 7, 5, 18, 12, 20, 15}
sum =35
output:所有等于sum的子序列
{10, 7, 18}
{10, 5, 20}
{5, 18, 12}
{20, 15}

 algorithm
 subsetSum(arr,subarr,n,subSize,total,node,sum)
 n是arr的大小,subSize是subarr的大小(个数),total是subarr的和,node是subarr元素数(索引)
 具体:
if total=sum ,then
	display the subset
    //寻找下一个子序列
    subsetSum(arr,subarr,n,subsize-1,total-arr[node],node+1,sum)
    return 
else
	for i in arr(i=node)
    	subarr[subSize]=arr[i]
        subsetSum(arr,subarr,n,subsize+1,total+arr[i],i+1,sum)
#include <iostream>
using namespace std;

void displaySubset(int subSet[], int size) {
   for(int i = 0; i < size; i++) {
      cout << subSet[i] << "  ";
   }
   cout << endl;
}

void subsetSum(int set[], int subSet[], int n, int subSize, int total, int nodeCount ,int sum) {
   if( total == sum) {
      displaySubset(subSet, subSize);     //print the subset
      subsetSum(set,subSet,n,subSize-1,total-set[nodeCount],nodeCount+1,sum);     //for other subsets
      return;
   }else {
      for( int i = nodeCount; i < n; i++)
      {     
         subSet[subSize] = set[i];
         subsetSum(set,subSet,n,subSize+1,total+set[i],i+1,sum);     //do for next node in depth
      }
   }
}

void findSubset(int set[], int size, int sum) {
   int *subSet = new int[size];     //create subset array to pass parameter of subsetSum
   subsetSum(set, subSet, size, 0, 0, 0, sum);
   delete[] subSet;
}

int main() {
   int weights[] = {1, 2, 3, 18, 12, 4, 15};
   int size = 7;
   findSubset(weights, size, 3);
}


子序列问题