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有1元、5元、10元、20元、50元、100元硬幣無數個,問100000元的組合方法有多少個

package com.coolxia.具體;
import java.util.ArrayList;



class Test1 {
	static int count = 0;
	static int fun(int stairs, int max, int[] stragy){
		if(stairs < 0) return 0;
		if(stairs == 0) return 1;
		int count = 0;
		for(int i: stragy){
			if(i <= max){
				count += fun(stairs - i, i, stragy);
			}
		}
		return count;
	}
	static ArrayList<Integer> result = new ArrayList<Integer>();
	
	static int findIndex(int[] stragy, int num){
		for(int index = 0; index <= stragy.length -1; index++){
			if(stragy[index] == num){
				return index;
			}
		}
		return -1;
	}
	
	static int fun2(int stairs, int[] stragy){
		int sum = 0;
		int left = stairs;
		int currentIndex = stragy.length - 1;
		int count = 0;
		do{
			while(sum < stairs){
				result.add(stragy[currentIndex]);
				sum += stragy[currentIndex];
			}
			if(sum == stairs){count++;}
			int num = result.remove(result.size()-1);
			sum -= num;
			if(result.size() != 0){
				if(num == stragy[0]){
					while(result.size() != 0 && num == stragy[0]){
						num = result.remove(result.size()-1);
						sum -= num;
						currentIndex = findIndex(stragy, num) - 1;
					}
				}else{
					currentIndex = findIndex(stragy, num) - 1;
				}
			}else{
				currentIndex--;
			}
		}while(result.size() != 0 || currentIndex >= 0);
		return count;
	}
}
public class Test{
	public static void main(String[] args){
		int[] stragy = new int[]{ 1, 2 ,5, 10, 20 , 100};
		System.out.println(Test1.fun2(10000,stragy));
	}
}