一块40克的砝码，摔成4块，利用天平，刚好可以称出1~40g所有整数克，问：这4块分别是多少克

	public static void main(String[] args) {List list = new ArrayList<>();//记录每组数的值 每组数a<=b<=c<=dList rlist = new ArrayList<>();//记录最后的结果for(int i = 1; i <= 10 ; i++) {for(int j = i; j <= 13 ; j++) {for(int k = j; k <= 19 ; k++) {list.add(i);list.add(j);list.add(k);list.add(40-i-j-k);}}	}int a,b,c,d;int len = list.size()/4;for (int i = 0; i < len; i++) {a = list.get(4*i);b = list.get(4*i+1);c = list.get(4*i+2);d = list.get(4*i+3);if(result(a, b, c, d)) {rlist.add(a);rlist.add(b);rlist.add(c);rlist.add(d);}}len = rlist.size()/4;for(int i = 0; i < len; i++) {System.out.println("40 = "+rlist.get(4*i)+" + "+rlist.get(4*i+1)+" + "+rlist.get(4*i+2)+" + "+rlist.get(4*i+3));}}public static boolean result(int a,int b,int c,int d){TreeSet set = new TreeSet<>();int[] arr = {-1,0,1};for (int i = 0; i < arr.length; i++) {for (int j = 0; j < arr.length; j++) {for (int k = 0; k < arr.length; k++) {for (int l = 0; l < arr.length; l++) {int sum = a*arr[i]+b*arr[j]+c*arr[k]+d*arr[l];if(sum > 0) set.add(sum);}}}}if(set.size() == 40 && set.first() == 1)return true;elsereturn false;}

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