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排列组合模板小结

时间:2014-04-24 15:52:10      阅读:647      评论:0      收藏:0      [点我收藏+]

1.dfs回溯法输出组合
#include<iostream> 
#include<cmath> 
#include<cstring> 
#include<algorithm> 
using namespace std;
int visit[1005],a[1005];
int n,m;//表示从n个数中取m个数
void dfs(int x,int y)//x表示当前选的数是n个中的第x个,y表示递归的层数即选的第m个数
{
	if(y==m)     
	{
		for(int i=0;i<n;i++)
		{
			if(visit[i])
			cout<<a[i]<<" ";
		}
		cout<<endl;
		return;
	}
	else 
		for(int j=x;j<n;j++)
		{
			if(!visit[j])
			{
				visit[j]=1;
				dfs(j+1,y+1);
				visit[j]=0;   //回溯,返回上一层标记为未选    
		} 
}

int main()
{
	int i,j,k;
	while(cin>>n>>m)
	{
		for(i=0;i<n;i++)
		cin>>a[i];
	memset(visit,0,sizeof(visit));
		dfs(0,0);
	}
}

2.用STL的next_permutation输出全排列
#include<iostream> 
#include<cmath> 
#include<cstring> 
#include<algorithm> 
using namespace std;
int main()
{
	int i,j,k;
	while(cin>>k)
	{
		int a[105];
		for(i=0;i<k;i++)
			cin>>a[i];
		sort(a,a+k);
		do
		{
			for(i=0;i<k;i++)
				cout<<a[i]<<" ";
			cout<<endl;
		}
		while(next_permutation(a,a+k));
	}
}






下面是一道练习题

Accept: 428    Submit: 986
Time Limit: 1000 mSec    Memory Limit : 65536 KB

bubuko.com,布布扣 Problem Description

In the German Lotto you have to select 6 numbers from the set {1,2,...,49}.

A popular strategy to play Lotto - although it doesn‘t increase your chance of winning - is to select a subset S containing k (k>6) of these 49 numbers, and then play several games with choosing numbers only from S.

For example, for k=8 and S = 1,2,3,5,8,13,21,34 there are 28 possible games: [1,2,3,5,8,13], [1,2,3,5,8,21], [1,2,3,5,8,34], [1,2,3,5,13,21], ..., [3,5,8,13,21,34].

Your job is to write a program that reads in the number k and the set S and then prints all possible games choosing numbers only from S.

bubuko.com,布布扣 Input

The input file will contain one or more test cases.

Each test case consists of one line containing several integers separated from each other by spaces. The first integer on the line will be the number k (6 < k < 13). Then k integers, specifying the set S, will follow in ascending order.

Input will be terminated by a value of zero (0) for k.

bubuko.com,布布扣 Output

For each test case, print all possible games, each game on one line.

The numbers of each game have to be sorted in ascending order and separated from each other by exactly one space. The games themselves have to be sorted lexicographically, that means sorted by the lowest number first, then by the second lowest and so on, as demonstrated in the sample output below.

The test cases have to be separated from each other by exactly one blank line. Do not put a blank line after the last test case.

bubuko.com,布布扣 Sample Input

7 1 2 3 4 5 6 78 1 2 3 5 8 13 21 340

bubuko.com,布布扣 Sample Output

1 2 3 4 5 61 2 3 4 5 71 2 3 4 6 71 2 3 5 6 71 2 4 5 6 71 3 4 5 6 72 3 4 5 6 71 2 3 5 8 131 2 3 5 8 211 2 3 5 8 341 2 3 5 13 211 2 3 5 13 341 2 3 5 21 341 2 3 8 13 211 2 3 8 13 341 2 3 8 21 341 2 3 13 21 341 2 5 8 13 211 2 5 8 13 341 2 5 8 21 341 2 5 13 21 341 2 8 13 21 341 3 5 8 13 211 3 5 8 13 341 3 5 8 21 341 3 5 13 21 341 3 8 13 21 341 5 8 13 21 342 3 5 8 13 212 3 5 8 13 342 3 5 8 21 342 3 5 13 21 342 3 8 13 21 342 5 8 13 21 343 5 8 13 21 34 

把模板变一下,不过这倒题的输出实在是太坑了

#include<iostream> 
#include<cmath> 
#include<cstring> 
#include<algorithm> 
using namespace std;
int visit[1005],a[1005];
int n,m;
void dfs(int x,int y)
{
	if(y==6)
	{
		int first=1;
		for(int i=0;i<n;i++)
		{
			if(visit[i])
			{
				if(first==1)
				{cout<<a[i];first=0;}
				else
			    cout<<" "<<a[i];
			}
		}
		cout<<endl;
		return;
	}
	else 
		for(int j=x;j<n;j++)
		{
			if(!visit[j])
			{
				visit[j]=1;
				dfs(j+1,y+1);
				visit[j]=0;
			}    
		} 
}

int main()
{
	int i,j,k;
	int first=1;
	while(cin>>n&&n)
	{
		for(i=0;i<n;i++)
		cin>>a[i];
		if(first==1)first=0;
		else cout<<endl;
	memset(visit,0,sizeof(visit));
		dfs(0,0);
	}
}




排列组合模板小结,布布扣,bubuko.com

排列组合模板小结

原文:http://blog.csdn.net/u013497977/article/details/24356139

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