I recently stumbled across a blog about greedy algorithms, which is really good. As an algorithm novice, I feel that this article is really good to get started, so I take one of the typical examples of greedy algorithms. Blog Portal: Learning Greedy Algorithms from Scratch
coin change problem
This problem is more common in our daily life. Suppose there are c0, c1, c2, c3, c4, c5, c6 banknotes of 1 yuan, 2 yuan, 5 yuan, 10 yuan, 20 yuan, 50 yuan, and 100 yuan respectively. Now to pay K yuan with this money, how many banknotes will it take? Using the idea of greedy algorithm, it is obvious that each step can be done with a banknote with a large face value. We do this naturally in our daily life. In the program, the Values have been arranged in order from small to large.
The code above:
#include<iostream>
#include<algorithm>
using namespace std;
const int N=7;
int Count[N]={3,0,2,1,0,3,5};
int Value[N]={1,2,5,10,20,50,100};
int solve(int money)
{
int num=0;
for(int i=N-1;i>=0;i--)
{
int c=min(money/Value[i],Count[i]);
money=money-c*Value[i];
num+=c;
}
if(money>0) num=-1;
return num;
}
int main()
{
int money;
cin>>money;
int res=solve(money);
if(res!=-1) cout<<res<<endl;
else cout<<"NO"<<endl;
}