C ++ Newbie需要帮助打印整数的组合 [英] C++ Newbie needs helps for printing combinations of integers

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问题描述

假设我得到:


  1. 整数范围 iRange 1 最多到 iRange )和

  2. / li>

我想查找所有可能组合的数目并打印出所有这些组合。



例如:



给定 iRange = 5 n = 3



然后组合的数量是 iRange! /((iRange!-n!)* n!)= 5! /(5-3)! * 3! = 10 组合,输出为:

  123  -  124  -  125  -  134  - 145  -  234  -  235  -  245  -  345 

另一个例子:



给定 iRange = 4 n = 2 p>

那么组合的数量是 iRange! /((iRange!-n!)* n!)= 4! /(4-2)! * 2! = 6 组合,输出为:

  12  -  13  -  14  -  23  -  24  - 34 

我到目前为止的尝试是:

  #include< iostream> 
using namespace std;

int iRange = 0;
int iN = 0;

int fact(int n)
{
if(n <1)
return 1;
else
return fact(n-1)* n;
}

void print_combinations(int n,int iMxM)
{
int iBigSetFact = fact(iMxM);
int iDiffFact = fact(iMxM-n);
int iSmallSetFact = fact(n);
int iNoTotComb =(iBigSetFact /(iDiffFact * iSmallSetFact));
cout<<可能的组合的数量是: cout<<,这些组合如下:<< endl;


int i,j,k;
for(i = 0; i {
for(j = i + 1; j {
// for(k = j + 1; k cout<< i + 1<< j + 1&
}
}
}

int main()
{
cout<<请提供范围将找到组合:<<< endl;
cin>> iRange;
cout<<请给出所需的组合数:<< endl;
cin>> iN;
print_combinations(iN,iRange);
return 0;
}

我的问题:
的我的代码相关的打印的组合只适用于 n = 2,iRange = 4 ,我不能让它一般工作,即任何 n iRange

解决方案

以下是您的代码已修改:D:D使用递归解决方案:

  #include < iostream> 

int iRange = 0;
int iN = 0; //从iRange获取的项目数,对于这些项目,我想打印出组合
int iTotalCombs = 0;
int * pTheRange;
int * pTempRange;

int find_factorial(int n)
{
if(n <1)
return 1;
else
return find_factorial(n-1)* n;
}

// --->这里是另一个解决方案:
void print_out_combinations(int * P,int K,int n_i)
{
if(K == 0)
{
for(int j = iN; j> 0; j--)
std :: cout<< P [j] ;;
std :: cout<< std :: endl;
}
else
for(int i = n_i; i {
P [K] = pTheRange [i]
print_out_combinations(P,K-1,i + 1);
}
}
//这里结束了解决方案...

int main()
{
std :: cout< ;给出项目集-iRange- =;
std :: cin>> iRange;
std :: cout<<给出要创建组合的iRange的项目#-iN- =;
std :: cin>> iN;

pTheRange = new int [iRange];
for(int i = 0; i< iRange; i ++)
{
pTheRange [i] = i + 1;
}
pTempRange = new int [iN];

iTotalCombs =(find_factorial(iRange)/(find_factorial(iRange-iN)* find_factorial(iN)));

std :: cout<<可能的组合数是:< std :: cout<<因为从一组大小< iRange<<中绘制的 print_out_combinations(pTempRange,iN,0);
return 0;
}


Suppose I am given:

  1. A range of integers iRange (i.e. from 1 up to iRange) and
  2. A desired number of combinations

I want to find the number of all possible combinations and print out all these combinations.

For example:

Given: iRange = 5 and n = 3

Then the number of combinations is iRange! / ((iRange!-n!)*n!) = 5! / (5-3)! * 3! = 10 combinations, and the output is:

123 - 124 - 125 - 134 - 135 - 145 - 234 - 235 - 245 - 345

Another example:

Given: iRange = 4 and n = 2

Then the number of combinations is iRange! / ((iRange!-n!)*n!) = 4! / (4-2)! * 2! = 6 combinations, and the output is:

12 - 13 - 14 - 23 - 24 - 34

My attempt so far is:

#include <iostream>
using namespace std;

int iRange= 0;
int iN=0;

int fact(int n)
{
    if ( n<1)
    	return 1;
    else
    return fact(n-1)*n;
}

void print_combinations(int n, int iMxM)
{
    int iBigSetFact=fact(iMxM);
    int iDiffFact=fact(iMxM-n);
    int iSmallSetFact=fact(n);
    int iNoTotComb = (iBigSetFact/(iDiffFact*iSmallSetFact));
    cout<<"The number of possible combinations is: "<<iNoTotComb<<endl;
    cout<<" and these combinations are the following: "<<endl;


    int i, j, k;
    for (i = 0; i < iMxM - 1; i++)
    {
    	for (j = i + 1; j < iMxM ; j++)
    	{
    		//for (k = j + 1; k < iMxM; k++)
    			cout<<i+1<<j+1<<endl;
    	}
    }
}

int main()
{
    cout<<"Please give the range (max) within which the combinations are to be found: "<<endl;
    cin>>iRange;
    cout<<"Please give the desired number of combinations: "<<endl; 
    cin>>iN;
    print_combinations(iN,iRange);
    return 0;	
}

My problem: The part of my code related to the printing of the combinations works only for n = 2, iRange = 4 and I can't make it work in general, i.e., for any n and iRange.

解决方案

Here is your code edited :D :D with a recursive solution:

#include <iostream>

int iRange=0;   
int iN=0;   		//Number of items taken from iRange, for which u want to print out the combinations
int iTotalCombs=0;
int* pTheRange;
int* pTempRange;

int find_factorial(int n)
{
    if ( n<1)
        return 1;
    else
    return find_factorial(n-1)*n;
}

//--->Here is another solution:
void print_out_combinations(int *P, int K, int n_i) 
{
    if (K == 0)
    {
    	for (int j =iN;j>0;j--)
    	std::cout<<P[j]<<" ";
    	std::cout<<std::endl;
    }
    else
        for (int i = n_i; i < iRange; i++) 
    	{
            P[K] = pTheRange[i];
            print_out_combinations(P, K-1, i+1);
        }
}
//Here ends the solution...

int main() 
{
    std::cout<<"Give the set of items -iRange- = ";
    std::cin>>iRange;
    std::cout<<"Give the items # -iN- of iRange for which the combinations will be created = ";
    std::cin>>iN;

    pTheRange = new int[iRange];
    for (int i = 0;i<iRange;i++)
    {
    	pTheRange[i]=i+1;
    }
    pTempRange = new int[iN];

    iTotalCombs = (find_factorial(iRange)/(find_factorial(iRange-iN)*find_factorial(iN)));

    std::cout<<"The number of possible combinations is: "<<iTotalCombs<<std::endl;
    std::cout<<"i.e.the combinations of "<<iN<<" elements drawn from a set of size "<<iRange<<" are: "<<std::endl;
    print_out_combinations(pTempRange, iN, 0);
    return 0;
}

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