hdoj--2069--Coin Change（动态规划）

Coin Change

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 16032    Accepted Submission(s): 5441

Problem Description

Suppose there are 5 types of coins: 50-cent, 25-cent, 10-cent, 5-cent, and 1-cent. We want to make changes with these coins for a given amount of money.

For example, if we have 11 cents, then we can make changes with one 10-cent coin and one 1-cent coin, or two 5-cent coins and one 1-cent coin, or one 5-cent coin and six 1-cent coins, or eleven 1-cent coins. So there are four ways of making changes for 11 cents with the above coins. Note that we count that there is one way of making change for zero cent.

Write a program to find the total number of different ways of making changes for any amount of money in cents. Your program should be able to handle up to 100 coins.

 

Input

The input file contains any number of lines, each one consisting of a number ( ≤250 ) for the amount of money in cents.

 

Output

For each input line, output a line containing the number of different ways of making changes with the above 5 types of coins.

 

Sample Input

   
   
   
   

    
    
    
    11
26
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    4
13
   
   
   
   

 

Author

Lily

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
int dp[500][600];
int num[1000];
int coin[6]={0,1,5,10,25,50};
void getnum()
{
	memset(dp,0,sizeof(dp));
	memset(num,0,sizeof(num));
	dp[0][0]=1;
	for(int i=1;i<=5;i++)
	{
		for(int j=0;j<=250;j++)//货币总面额不超过250 
		{
			for(int k=0;k<100;k++)//硬币总数不超过100个 
			{
				if(coin[i]+j<=250)
				dp[coin[i]+j][k+1]+=dp[j][k];//当前货币总面值为j，分成k个硬币 
				else
				break;
			}
		}
	 } 
	 for(int i=0;i<=250;i++)
	 {
	 	for(int j=0;j<=100;j++)
	 	num[i]+=dp[i][j];
	 }
}
int main()
{
	int n;
	getnum();
	while(scanf("%d",&n)!=EOF)
	{
		printf("%d\n",num[n]);
	}
}