我有一个随机生成的整数数组(A1),其中包含以下功能。
现在有另一个数组(A2),它是A1的降序有序数组 我打算做的是,在这两个数组之间进行所有可能的线性和交叉计算(仅添加) 起始数组可以是A1或A2,但应始终以第0个元素开始 A1或A2中的值可以采用正或负两种形式进行计算 值应从数组/ s中以数组索引的递增顺序选择。
起初,我一直试图通过仅使用for循环来实现这一点但后来我将递归应用于它。但是,它仅适用于计算一个或两个值。有没有有效的方法来做到这一点? 希望我的问题足够清楚!
已编辑
我们采取A1=[1,2,3,4]
所以,A2=[4,3,2,1]
那么可能的计算结果应该如下
最后,对于4的数组长度,应该有340个可能的计算。
1,-1,4,-4,3,-1,4,-2,1,-3,
2,-4,6,2,7,1,-2,-6,-1,-7,
6,0,5,1,2,-4,1,-3,7,1,
6,2,1,5M,-4,4,-2,3,-1,
0,-6,-1,-5,5,-1,4,0,-1,-7,
-2,-6,9,3,8,4,5,-1,4,0,
10,4,9,5,4,-2,3,-1,1,-5,
0,-4,-3,-9,-4,-8,2,-4,1,-3,
-4,-10,-5,-9,10,2,7,5,4,-4,
1,-1,9,1,6,4,5,-3,2,0,
6,-2,3,1,0,-8,-3,-5,5,-3,
2,0,1,-7,-2,-4,11,3,8,6,
5,-3,2,0,10,2,7,5,6,-2,
3,1,5,3,-2,0,-1,-9,-4,-6,
4,-4,1,-1,0,-8,-3,-5,8,0,
5,3,2,-6,-1,-3,7,-1,4,2,
3,-5,0,-2,4,-4,1,-1,-2,-10,
-5,-7,3,-5,0,-2,-1,-9,-4,-6,
9,1,6,4,3,5,-5,0,-2,8,0,
5,3,4,-4,1,-1,3,-5,0,-2,
-3,-11,-6,-8,2,-6,-1,-3,-2,-10,
-5,-7,13,5,10,8,7,-1,4,2,
12,4,9,7,8,0,5,3,9,1,
6,4,3,-5,0,-2,8,0,5,3,
4,-4,1,-1,14,6,11,9,8,0,
5,3,13,5,10,8,9,1,6,4,
8,0,5,3,2,-6,-1,-3,7,-1,
4,2,3--5,0,-2,5,-3,2,0,
-1,-9,-4,-6,4,-4,1,-1,0,-8,
-3,-5,1,-7,-2,-4,-5,-13,-8,-10,
0,-8,-3,-5,-4,-12,-7,-9,6,-2,
3,1,0,-8,-3,-5,5,-3,2,0,
1,-7,-2,-4,0,-8,-3,-5,-6,-14,
-9,-11,-1,-9,-4,-6,-5,-13,-8,-10,
答案 0 :(得分:2)
这样的东西?
public class Test {
public static void main(String[] args) {
Test test = new Test();
System.out.println(Arrays.toString(test.A1));
System.out.println(Arrays.toString(test.A2));
System.out.println(test.result);
}
private int[] A1, A2;
private List<Integer> result;
private Test() {
List<Integer> digits = new ArrayList<>(Arrays.asList(1,2,3,4,5,6,7,8,9));
Random random = new Random();
this.A1 = new int[4];
for (int i = 0; i < this.A1.length; i++) {
int idx = random.nextInt(digits.size());
this.A1[i] = digits.remove(idx);
}
Arrays.sort(this.A1);
this.A2 = new int[this.A1.length];
for (int i = 0; i < this.A1.length; i++)
this.A2[i] = this.A1[this.A1.length - i - 1];
this.result = new ArrayList<>();
for (int i = 0; i < this.A1.length; i++)
calc(i, 0);
}
private void calc(int idx, int sum) {
add(sum + this.A1[idx], idx + 1);
add(sum - this.A1[idx], idx + 1);
add(sum + this.A2[idx], idx + 1);
add(sum - this.A2[idx], idx + 1);
}
private void add(int sum, int nextIdx) {
this.result.add(sum);
if (nextIdx < this.A1.length)
calc(nextIdx, sum);
}
}
输出
[1, 2, 4, 7]
[7, 4, 2, 1]
[1, 3, 7, 14, 0, 8, 6, -1, 6, -8, 0, -2, 5, 12, -2, 6, 4, 1, 8, -6, 2, 0, -1, 3, 10, -4, 4, 2, -5, 2, -12, -4, -6, 1, 8, -6, 2, 0, -3, 4, -10, -2, -4, 5, 9, 16, 2, 10, 8, 1, 8, -6, 2, 0, 7, 14, 0, 8, 6, 3, 10, -4, 4, 2, -3, 1, 8, -6, 2, 0, -7, 0, -14, -6, -8, -1, 6, -8, 0, -2, -5, 2, -12, -4, -6, -1, 1, 5, 12, -2, 6, 4, -3, 4, -10, -2, -4, 3, 10, -4, 4, 2, -1, 6, -8, 0, -2, -3, 1, 8, -6, 2, 0, -7, 0, -14, -6, -8, -1, 6, -8, 0, -2, -5, 2, -12, -4, -6, 3, 7, 14, 0, 8, 6, -1, 6, -8, 0, -2, 5, 12, -2, 6, 4, 1, 8, -6, 2, 0, -5, -1, 6, -8, 0, -2, -9, -2, -16, -8, -10, -3, 4, -10, -2, -4, -7, 0, -14, -6, -8, 7, 9, 13, 20, 6, 14, 12, 5, 12, -2, 6, 4, 11, 18, 4, 12, 10, 7, 14, 0, 8, 6, 5, 9, 16, 2, 10, 8, 1, 8, -6, 2, 0, 7, 14, 0, 8, 6, 3, 10, -4, 4, 2, 11, 15, 22, 8, 16, 14, 7, 14, 0, 8, 6, 13, 20, 6, 14, 12, 9, 16, 2, 10, 8, 3, 7, 14, 0, 8, 6, -1, 6, -8, 0, -2, 5, 12, -2, 6, 4, 1, 8, -6, 2, 0, -7, -5, -1, 6, -8, 0, -2, -9, -2, -16, -8, -10, -3, 4, -10, -2, -4, -7, 0, -14, -6, -8, -9, -5, 2, -12, -4, -6, -13, -6, -20, -12, -14, -7, 0, -14, -6, -8, -11, -4, -18, -10, -12, -3, 1, 8, -6, 2, 0, -7, 0, -14, -6, -8, -1, 6, -8, 0, -2, -5, 2, -12, -4, -6, -11, -7, 0, -14, -6, -8, -15, -8, -22, -14, -16, -9, -2, -16, -8, -10, -13, -6, -20, -12, -14, 2, 6, 13, -1, 7, 5, -2, 5, -9, -1, -3, 4, 11, -3, 5, 3, 0, 7, -7, 1, -1, -2, 2, 9, -5, 3, 1, -6, 1, -13, -5, -7, 0, 7, -7, 1, -1, -4, 3, -11, -3, -5, 4, 8, 15, 1, 9, 7, 0, 7, -7, 1, -1, 6, 13, -1, 7, 5, 2, 9, -5, 3, 1, -4, 0, 7, -7, 1, -1, -8, -1, -15, -7, -9, -2, 5, -9, -1, -3, -6, 1, -13, -5, -7, 4, 11, -3, 5, 3, -4, 3, -11, -3, -5, 2, 9, -5, 3, 1, -2, 5, -9, -1, -3, 7, -7, 1, -1]
<强>更新强>
由于您表示您希望编号和打印公式,因此这是一个非递归实现,它使用位模式选择每个1/4部分进行总结。
请注意,之前的实施和新的实施都会返回 448 组合,而不是您提到的340。
代码构建了所有组合的列表。然后,您可以选择对列表进行排序(如按组合长度排序),以及是否要收集总和,或者打印文本公式或数字公式。
public class Combo {
public static void main(String[] args) {
int[] A1 = { 1, 2, 3, 4 };
int[] A2 = { 4, 3, 2, 1 };
List<Combo> comboList = new ArrayList<>();
for (int start = 0; start < A1.length; start++)
for (int end = start; end < A1.length; end++) {
final int combinations = 1 << ((end - start + 1) << 1); // 4 ^ (end - start + 1)
for (int combo = 0; combo < combinations; combo++)
comboList.add(new Combo(start, end, combo));
}
Collections.sort(comboList, (c1, c2) -> Integer.compare(c1.end - c1.start, c2.end - c2.start));
for (int i = 0; i < comboList.size(); i++) {
Combo combo = comboList.get(i);
System.out.printf("%3d: %-33s = %-17s = %d%n", i + 1, combo.getTextFormula(),
combo.getNumberFormula(A1, A2), combo.getSum(A1, A2));
}
}
private final int start;
private final int end;
private final int combo;
public Combo(int start, int end, int combo) {
this.start = start;
this.end = end;
this.combo = combo;
}
private String getTextFormula() {
StringBuilder buf = new StringBuilder();
for (int i = this.start; i <= this.end; i++) {
int c = this.combo >> ((this.end - i) << 1) & 3;
if (i != this.start) buf.append(" + ");
buf.append(c == 0 ? "A1" : c == 1 ? "-A1" : c == 2 ? "A2" : "-A2").append('[').append(i).append(']');
}
return buf.toString();
}
private String getNumberFormula(int[] A1, int[] A2) {
StringBuilder buf = new StringBuilder();
for (int i = this.start; i <= this.end; i++) {
int c = this.combo >> ((this.end - i) << 1) & 3;
if (i != this.start) buf.append(" + ");
buf.append(c == 0 ? A1[i] : c == 1 ? -A1[i] : c == 2 ? A2[i] : -A2[i]);
}
return buf.toString();
}
private int getSum(int[] A1, int[] A2) {
int sum = 0;
for (int i = this.start; i <= this.end; i++) {
int c = this.combo >> ((this.end - i) << 1) & 3;
sum += (c == 0 ? A1[i] : c == 1 ? -A1[i] : c == 2 ? A2[i] : -A2[i]);
}
return sum;
}
}
输出
1: A1[0] = 1 = 1
2: -A1[0] = -1 = -1
3: A2[0] = 4 = 4
4: -A2[0] = -4 = -4
5: A1[1] = 2 = 2
6: -A1[1] = -2 = -2
7: A2[1] = 3 = 3
8: -A2[1] = -3 = -3
9: A1[2] = 3 = 3
10: -A1[2] = -3 = -3
11: A2[2] = 2 = 2
12: -A2[2] = -2 = -2
13: A1[3] = 4 = 4
14: -A1[3] = -4 = -4
15: A2[3] = 1 = 1
16: -A2[3] = -1 = -1
17: A1[0] + A1[1] = 1 + 2 = 3
18: A1[0] + -A1[1] = 1 + -2 = -1
. . .
63: -A2[2] + A2[3] = -2 + 1 = -1
64: -A2[2] + -A2[3] = -2 + -1 = -3
65: A1[0] + A1[1] + A1[2] = 1 + 2 + 3 = 6
66: A1[0] + A1[1] + -A1[2] = 1 + 2 + -3 = 0
. . .
127: -A2[0] + -A2[1] + A2[2] = -4 + -3 + 2 = -5
128: -A2[0] + -A2[1] + -A2[2] = -4 + -3 + -2 = -9
129: A1[1] + A1[2] + A1[3] = 2 + 3 + 4 = 9
130: A1[1] + A1[2] + -A1[3] = 2 + 3 + -4 = 1
. . .
191: -A2[1] + -A2[2] + A2[3] = -3 + -2 + 1 = -4
192: -A2[1] + -A2[2] + -A2[3] = -3 + -2 + -1 = -6
193: A1[0] + A1[1] + A1[2] + A1[3] = 1 + 2 + 3 + 4 = 10
194: A1[0] + A1[1] + A1[2] + -A1[3] = 1 + 2 + 3 + -4 = 2
. . .
255: A1[0] + -A2[1] + -A2[2] + A2[3] = 1 + -3 + -2 + 1 = -3
256: A1[0] + -A2[1] + -A2[2] + -A2[3] = 1 + -3 + -2 + -1 = -5
257: -A1[0] + A1[1] + A1[2] + A1[3] = -1 + 2 + 3 + 4 = 8
258: -A1[0] + A1[1] + A1[2] + -A1[3] = -1 + 2 + 3 + -4 = 0
. . .
319: -A1[0] + -A2[1] + -A2[2] + A2[3] = -1 + -3 + -2 + 1 = -5
320: -A1[0] + -A2[1] + -A2[2] + -A2[3] = -1 + -3 + -2 + -1 = -7
321: A2[0] + A1[1] + A1[2] + A1[3] = 4 + 2 + 3 + 4 = 13
322: A2[0] + A1[1] + A1[2] + -A1[3] = 4 + 2 + 3 + -4 = 5
. . .
383: A2[0] + -A2[1] + -A2[2] + A2[3] = 4 + -3 + -2 + 1 = 0
384: A2[0] + -A2[1] + -A2[2] + -A2[3] = 4 + -3 + -2 + -1 = -2
385: -A2[0] + A1[1] + A1[2] + A1[3] = -4 + 2 + 3 + 4 = 5
386: -A2[0] + A1[1] + A1[2] + -A1[3] = -4 + 2 + 3 + -4 = -3
. . .
440: -A2[0] + -A2[1] + -A1[2] + -A2[3] = -4 + -3 + -3 + -1 = -11
441: -A2[0] + -A2[1] + A2[2] + A1[3] = -4 + -3 + 2 + 4 = -1
442: -A2[0] + -A2[1] + A2[2] + -A1[3] = -4 + -3 + 2 + -4 = -9
443: -A2[0] + -A2[1] + A2[2] + A2[3] = -4 + -3 + 2 + 1 = -4
444: -A2[0] + -A2[1] + A2[2] + -A2[3] = -4 + -3 + 2 + -1 = -6
445: -A2[0] + -A2[1] + -A2[2] + A1[3] = -4 + -3 + -2 + 4 = -5
446: -A2[0] + -A2[1] + -A2[2] + -A1[3] = -4 + -3 + -2 + -4 = -13
447: -A2[0] + -A2[1] + -A2[2] + A2[3] = -4 + -3 + -2 + 1 = -8
448: -A2[0] + -A2[1] + -A2[2] + -A2[3] = -4 + -3 + -2 + -1 = -10
答案 1 :(得分:1)
以下是我能为您写的内容:
public static void main(String[] args) {
Holder[] A1 = { new Holder("A1.1", 4), new Holder("A1.2", 2),
new Holder("A1.3", 5), new Holder("A1.4", 6) };
Holder[] A2 = new Holder[A1.length];
for (int i = A1.length - 1; i > -1; i--) {
A2[A2.length - i - 1] = new Holder(("A2." + (A2.length - i)),
A1[i].value);
}
processArrays(A1, A2);
processArrays(A2, A1);
}
static class Holder {
private Holder(String location, int value) {
this.value = value;
this.location = location;
}
private int value;
private String location;
@Override
public String toString() {
return "[" + location + "," + value + "]";
}
}
private static void processArrays(Holder[] a1, Holder[] a2) {
for (int l = a1.length; l > -1; l--) {
List<Holder> holderList = new ArrayList<>();
for (int i = 0; i < l; i++) {
holderList.add(a1[i]);
}
if (l > 0 && l < a2.length) {
List<Holder> a1HolderList = new ArrayList<>();
for (int i = 0; i < l; i++) {
a1HolderList.add(a1[i]);
}
calculateCombinations(a1HolderList);
for (int il = a2.length - l; il > 0; il--) {
List<Holder> totalHolderList = new ArrayList<>(a1HolderList);
for (int ii = l + il - 1; ii >= l; ii--) {
totalHolderList.add(a2[ii]);
}
calculateCombinations(totalHolderList);
}
}
}
}
private static void calculateCombinations(List<Holder> holderList) {
System.out.println();
BitSet bitSet = BitSet.valueOf(new long[] { 0 });
do {
StringBuilder expressionBuilder = new StringBuilder();
StringBuilder valueBuilder = new StringBuilder();
boolean valueAdded = false;
int expressionValue = 0;
for (int i = 0; i < holderList.size(); i++) {
Holder holder = holderList.get(i);
if (valueAdded) {
expressionBuilder.append(" + ");
valueBuilder.append(" + ");
}
expressionBuilder.append("(");
expressionBuilder.append(bitSet.get(i) ? '-' : "");
expressionValue += (bitSet.get(i) ? 0 - holder.value
: holder.value);
expressionBuilder.append(holder.location);
expressionBuilder.append(")");
valueBuilder.append("(");
if (bitSet.get(i)) {
valueBuilder.append("-(");
valueBuilder.append(holder.value);
valueBuilder.append(")");
} else {
valueBuilder.append(holder.value);
}
valueBuilder.append(")");
valueAdded = true;
}
System.out.print(expressionBuilder);
System.out.print("\t=\t");
System.out.print(valueBuilder);
System.out.print("\t=\t");
System.out.println(expressionValue);
bitSet = incrementBitset(bitSet);
} while (bitSet.length() <= holderList.size());
System.out.println();
}
private static BitSet incrementBitset(BitSet bitSet) {
BitSet returnSet = null;
if (bitSet.toLongArray().length == 0) {
returnSet = BitSet.valueOf(new long[] { 1 });
} else {
int integerValue = (int) bitSet.toLongArray()[0];
returnSet = BitSet.valueOf(new long[] { integerValue + 1 });
}
return returnSet;
}
(A1.1) + (A1.2) + (A1.3) = (4) + (2) + (5) = 11
(-A1.1) + (A1.2) + (A1.3) = (-(4)) + (2) + (5) = 3
(A1.1) + (-A1.2) + (A1.3) = (4) + (-(2)) + (5) = 7
(-A1.1) + (-A1.2) + (A1.3) = (-(4)) + (-(2)) + (5) = -1
(A1.1) + (A1.2) + (-A1.3) = (4) + (2) + (-(5)) = 1
(-A1.1) + (A1.2) + (-A1.3) = (-(4)) + (2) + (-(5)) = -7
(A1.1) + (-A1.2) + (-A1.3) = (4) + (-(2)) + (-(5)) = -3
(-A1.1) + (-A1.2) + (-A1.3) = (-(4)) + (-(2)) + (-(5)) = -11
(A1.1) + (A1.2) + (A1.3) + (A2.4) = (4) + (2) + (5) + (4) = 15
(-A1.1) + (A1.2) + (A1.3) + (A2.4) = (-(4)) + (2) + (5) + (4) = 7
(A1.1) + (-A1.2) + (A1.3) + (A2.4) = (4) + (-(2)) + (5) + (4) = 11
(-A1.1) + (-A1.2) + (A1.3) + (A2.4) = (-(4)) + (-(2)) + (5) + (4) = 3
(A1.1) + (A1.2) + (-A1.3) + (A2.4) = (4) + (2) + (-(5)) + (4) = 5
(-A1.1) + (A1.2) + (-A1.3) + (A2.4) = (-(4)) + (2) + (-(5)) + (4) = -3
(A1.1) + (-A1.2) + (-A1.3) + (A2.4) = (4) + (-(2)) + (-(5)) + (4) = 1
(-A1.1) + (-A1.2) + (-A1.3) + (A2.4) = (-(4)) + (-(2)) + (-(5)) + (4) = -7
(A1.1) + (A1.2) + (A1.3) + (-A2.4) = (4) + (2) + (5) + (-(4)) = 7
(-A1.1) + (A1.2) + (A1.3) + (-A2.4) = (-(4)) + (2) + (5) + (-(4)) = -1
(A1.1) + (-A1.2) + (A1.3) + (-A2.4) = (4) + (-(2)) + (5) + (-(4)) = 3
(-A1.1) + (-A1.2) + (A1.3) + (-A2.4) = (-(4)) + (-(2)) + (5) + (-(4)) = -5
(A1.1) + (A1.2) + (-A1.3) + (-A2.4) = (4) + (2) + (-(5)) + (-(4)) = -3
(-A1.1) + (A1.2) + (-A1.3) + (-A2.4) = (-(4)) + (2) + (-(5)) + (-(4)) = -11
(A1.1) + (-A1.2) + (-A1.3) + (-A2.4) = (4) + (-(2)) + (-(5)) + (-(4)) = -7
(-A1.1) + (-A1.2) + (-A1.3) + (-A2.4) = (-(4)) + (-(2)) + (-(5)) + (-(4)) = -15
(A1.1) + (A1.2) = (4) + (2) = 6
(-A1.1) + (A1.2) = (-(4)) + (2) = -2
(A1.1) + (-A1.2) = (4) + (-(2)) = 2
(-A1.1) + (-A1.2) = (-(4)) + (-(2)) = -6
(A1.1) + (A1.2) + (A2.4) + (A2.3) = (4) + (2) + (4) + (2) = 12
(-A1.1) + (A1.2) + (A2.4) + (A2.3) = (-(4)) + (2) + (4) + (2) = 4
(A1.1) + (-A1.2) + (A2.4) + (A2.3) = (4) + (-(2)) + (4) + (2) = 8
(-A1.1) + (-A1.2) + (A2.4) + (A2.3) = (-(4)) + (-(2)) + (4) + (2) = 0
(A1.1) + (A1.2) + (-A2.4) + (A2.3) = (4) + (2) + (-(4)) + (2) = 4
(-A1.1) + (A1.2) + (-A2.4) + (A2.3) = (-(4)) + (2) + (-(4)) + (2) = -4
(A1.1) + (-A1.2) + (-A2.4) + (A2.3) = (4) + (-(2)) + (-(4)) + (2) = 0
(-A1.1) + (-A1.2) + (-A2.4) + (A2.3) = (-(4)) + (-(2)) + (-(4)) + (2) = -8
(A1.1) + (A1.2) + (A2.4) + (-A2.3) = (4) + (2) + (4) + (-(2)) = 8
(-A1.1) + (A1.2) + (A2.4) + (-A2.3) = (-(4)) + (2) + (4) + (-(2)) = 0
(A1.1) + (-A1.2) + (A2.4) + (-A2.3) = (4) + (-(2)) + (4) + (-(2)) = 4
(-A1.1) + (-A1.2) + (A2.4) + (-A2.3) = (-(4)) + (-(2)) + (4) + (-(2)) = -4
(A1.1) + (A1.2) + (-A2.4) + (-A2.3) = (4) + (2) + (-(4)) + (-(2)) = 0
(-A1.1) + (A1.2) + (-A2.4) + (-A2.3) = (-(4)) + (2) + (-(4)) + (-(2)) = -8
(A1.1) + (-A1.2) + (-A2.4) + (-A2.3) = (4) + (-(2)) + (-(4)) + (-(2)) = -4
(-A1.1) + (-A1.2) + (-A2.4) + (-A2.3) = (-(4)) + (-(2)) + (-(4)) + (-(2)) = -12
(A1.1) + (A1.2) + (A2.3) = (4) + (2) + (2) = 8
(-A1.1) + (A1.2) + (A2.3) = (-(4)) + (2) + (2) = 0
(A1.1) + (-A1.2) + (A2.3) = (4) + (-(2)) + (2) = 4
(-A1.1) + (-A1.2) + (A2.3) = (-(4)) + (-(2)) + (2) = -4
(A1.1) + (A1.2) + (-A2.3) = (4) + (2) + (-(2)) = 4
(-A1.1) + (A1.2) + (-A2.3) = (-(4)) + (2) + (-(2)) = -4
(A1.1) + (-A1.2) + (-A2.3) = (4) + (-(2)) + (-(2)) = 0
(-A1.1) + (-A1.2) + (-A2.3) = (-(4)) + (-(2)) + (-(2)) = -8
(A1.1) = (4) = 4
(-A1.1) = (-(4)) = -4
(A1.1) + (A2.4) + (A2.3) + (A2.2) = (4) + (4) + (2) + (5) = 15
(-A1.1) + (A2.4) + (A2.3) + (A2.2) = (-(4)) + (4) + (2) + (5) = 7
(A1.1) + (-A2.4) + (A2.3) + (A2.2) = (4) + (-(4)) + (2) + (5) = 7
(-A1.1) + (-A2.4) + (A2.3) + (A2.2) = (-(4)) + (-(4)) + (2) + (5) = -1
(A1.1) + (A2.4) + (-A2.3) + (A2.2) = (4) + (4) + (-(2)) + (5) = 11
(-A1.1) + (A2.4) + (-A2.3) + (A2.2) = (-(4)) + (4) + (-(2)) + (5) = 3
(A1.1) + (-A2.4) + (-A2.3) + (A2.2) = (4) + (-(4)) + (-(2)) + (5) = 3
(-A1.1) + (-A2.4) + (-A2.3) + (A2.2) = (-(4)) + (-(4)) + (-(2)) + (5) = -5
(A1.1) + (A2.4) + (A2.3) + (-A2.2) = (4) + (4) + (2) + (-(5)) = 5
(-A1.1) + (A2.4) + (A2.3) + (-A2.2) = (-(4)) + (4) + (2) + (-(5)) = -3
(A1.1) + (-A2.4) + (A2.3) + (-A2.2) = (4) + (-(4)) + (2) + (-(5)) = -3
(-A1.1) + (-A2.4) + (A2.3) + (-A2.2) = (-(4)) + (-(4)) + (2) + (-(5)) = -11
(A1.1) + (A2.4) + (-A2.3) + (-A2.2) = (4) + (4) + (-(2)) + (-(5)) = 1
(-A1.1) + (A2.4) + (-A2.3) + (-A2.2) = (-(4)) + (4) + (-(2)) + (-(5)) = -7
(A1.1) + (-A2.4) + (-A2.3) + (-A2.2) = (4) + (-(4)) + (-(2)) + (-(5)) = -7
(-A1.1) + (-A2.4) + (-A2.3) + (-A2.2) = (-(4)) + (-(4)) + (-(2)) + (-(5)) = -15
(A1.1) + (A2.3) + (A2.2) = (4) + (2) + (5) = 11
(-A1.1) + (A2.3) + (A2.2) = (-(4)) + (2) + (5) = 3
(A1.1) + (-A2.3) + (A2.2) = (4) + (-(2)) + (5) = 7
(-A1.1) + (-A2.3) + (A2.2) = (-(4)) + (-(2)) + (5) = -1
(A1.1) + (A2.3) + (-A2.2) = (4) + (2) + (-(5)) = 1
(-A1.1) + (A2.3) + (-A2.2) = (-(4)) + (2) + (-(5)) = -7
(A1.1) + (-A2.3) + (-A2.2) = (4) + (-(2)) + (-(5)) = -3
(-A1.1) + (-A2.3) + (-A2.2) = (-(4)) + (-(2)) + (-(5)) = -11
(A1.1) + (A2.2) = (4) + (5) = 9
(-A1.1) + (A2.2) = (-(4)) + (5) = 1
(A1.1) + (-A2.2) = (4) + (-(5)) = -1
(-A1.1) + (-A2.2) = (-(4)) + (-(5)) = -9
(A2.1) + (A2.2) + (A2.3) = (6) + (5) + (2) = 13
(-A2.1) + (A2.2) + (A2.3) = (-(6)) + (5) + (2) = 1
(A2.1) + (-A2.2) + (A2.3) = (6) + (-(5)) + (2) = 3
(-A2.1) + (-A2.2) + (A2.3) = (-(6)) + (-(5)) + (2) = -9
(A2.1) + (A2.2) + (-A2.3) = (6) + (5) + (-(2)) = 9
(-A2.1) + (A2.2) + (-A2.3) = (-(6)) + (5) + (-(2)) = -3
(A2.1) + (-A2.2) + (-A2.3) = (6) + (-(5)) + (-(2)) = -1
(-A2.1) + (-A2.2) + (-A2.3) = (-(6)) + (-(5)) + (-(2)) = -13
(A2.1) + (A2.2) + (A2.3) + (A1.4) = (6) + (5) + (2) + (6) = 19
(-A2.1) + (A2.2) + (A2.3) + (A1.4) = (-(6)) + (5) + (2) + (6) = 7
(A2.1) + (-A2.2) + (A2.3) + (A1.4) = (6) + (-(5)) + (2) + (6) = 9
(-A2.1) + (-A2.2) + (A2.3) + (A1.4) = (-(6)) + (-(5)) + (2) + (6) = -3
(A2.1) + (A2.2) + (-A2.3) + (A1.4) = (6) + (5) + (-(2)) + (6) = 15
(-A2.1) + (A2.2) + (-A2.3) + (A1.4) = (-(6)) + (5) + (-(2)) + (6) = 3
(A2.1) + (-A2.2) + (-A2.3) + (A1.4) = (6) + (-(5)) + (-(2)) + (6) = 5
(-A2.1) + (-A2.2) + (-A2.3) + (A1.4) = (-(6)) + (-(5)) + (-(2)) + (6) = -7
(A2.1) + (A2.2) + (A2.3) + (-A1.4) = (6) + (5) + (2) + (-(6)) = 7
(-A2.1) + (A2.2) + (A2.3) + (-A1.4) = (-(6)) + (5) + (2) + (-(6)) = -5
(A2.1) + (-A2.2) + (A2.3) + (-A1.4) = (6) + (-(5)) + (2) + (-(6)) = -3
(-A2.1) + (-A2.2) + (A2.3) + (-A1.4) = (-(6)) + (-(5)) + (2) + (-(6)) = -15
(A2.1) + (A2.2) + (-A2.3) + (-A1.4) = (6) + (5) + (-(2)) + (-(6)) = 3
(-A2.1) + (A2.2) + (-A2.3) + (-A1.4) = (-(6)) + (5) + (-(2)) + (-(6)) = -9
(A2.1) + (-A2.2) + (-A2.3) + (-A1.4) = (6) + (-(5)) + (-(2)) + (-(6)) = -7
(-A2.1) + (-A2.2) + (-A2.3) + (-A1.4) = (-(6)) + (-(5)) + (-(2)) + (-(6)) = -19
(A2.1) + (A2.2) = (6) + (5) = 11
(-A2.1) + (A2.2) = (-(6)) + (5) = -1
(A2.1) + (-A2.2) = (6) + (-(5)) = 1
(-A2.1) + (-A2.2) = (-(6)) + (-(5)) = -11
(A2.1) + (A2.2) + (A1.4) + (A1.3) = (6) + (5) + (6) + (5) = 22
(-A2.1) + (A2.2) + (A1.4) + (A1.3) = (-(6)) + (5) + (6) + (5) = 10
(A2.1) + (-A2.2) + (A1.4) + (A1.3) = (6) + (-(5)) + (6) + (5) = 12
(-A2.1) + (-A2.2) + (A1.4) + (A1.3) = (-(6)) + (-(5)) + (6) + (5) = 0
(A2.1) + (A2.2) + (-A1.4) + (A1.3) = (6) + (5) + (-(6)) + (5) = 10
(-A2.1) + (A2.2) + (-A1.4) + (A1.3) = (-(6)) + (5) + (-(6)) + (5) = -2
(A2.1) + (-A2.2) + (-A1.4) + (A1.3) = (6) + (-(5)) + (-(6)) + (5) = 0
(-A2.1) + (-A2.2) + (-A1.4) + (A1.3) = (-(6)) + (-(5)) + (-(6)) + (5) = -12
(A2.1) + (A2.2) + (A1.4) + (-A1.3) = (6) + (5) + (6) + (-(5)) = 12
(-A2.1) + (A2.2) + (A1.4) + (-A1.3) = (-(6)) + (5) + (6) + (-(5)) = 0
(A2.1) + (-A2.2) + (A1.4) + (-A1.3) = (6) + (-(5)) + (6) + (-(5)) = 2
(-A2.1) + (-A2.2) + (A1.4) + (-A1.3) = (-(6)) + (-(5)) + (6) + (-(5)) = -10
(A2.1) + (A2.2) + (-A1.4) + (-A1.3) = (6) + (5) + (-(6)) + (-(5)) = 0
(-A2.1) + (A2.2) + (-A1.4) + (-A1.3) = (-(6)) + (5) + (-(6)) + (-(5)) = -12
(A2.1) + (-A2.2) + (-A1.4) + (-A1.3) = (6) + (-(5)) + (-(6)) + (-(5)) = -10
(-A2.1) + (-A2.2) + (-A1.4) + (-A1.3) = (-(6)) + (-(5)) + (-(6)) + (-(5)) = -22
(A2.1) + (A2.2) + (A1.3) = (6) + (5) + (5) = 16
(-A2.1) + (A2.2) + (A1.3) = (-(6)) + (5) + (5) = 4
(A2.1) + (-A2.2) + (A1.3) = (6) + (-(5)) + (5) = 6
(-A2.1) + (-A2.2) + (A1.3) = (-(6)) + (-(5)) + (5) = -6
(A2.1) + (A2.2) + (-A1.3) = (6) + (5) + (-(5)) = 6
(-A2.1) + (A2.2) + (-A1.3) = (-(6)) + (5) + (-(5)) = -6
(A2.1) + (-A2.2) + (-A1.3) = (6) + (-(5)) + (-(5)) = -4
(-A2.1) + (-A2.2) + (-A1.3) = (-(6)) + (-(5)) + (-(5)) = -16
(A2.1) = (6) = 6
(-A2.1) = (-(6)) = -6
(A2.1) + (A1.4) + (A1.3) + (A1.2) = (6) + (6) + (5) + (2) = 19
(-A2.1) + (A1.4) + (A1.3) + (A1.2) = (-(6)) + (6) + (5) + (2) = 7
(A2.1) + (-A1.4) + (A1.3) + (A1.2) = (6) + (-(6)) + (5) + (2) = 7
(-A2.1) + (-A1.4) + (A1.3) + (A1.2) = (-(6)) + (-(6)) + (5) + (2) = -5
(A2.1) + (A1.4) + (-A1.3) + (A1.2) = (6) + (6) + (-(5)) + (2) = 9
(-A2.1) + (A1.4) + (-A1.3) + (A1.2) = (-(6)) + (6) + (-(5)) + (2) = -3
(A2.1) + (-A1.4) + (-A1.3) + (A1.2) = (6) + (-(6)) + (-(5)) + (2) = -3
(-A2.1) + (-A1.4) + (-A1.3) + (A1.2) = (-(6)) + (-(6)) + (-(5)) + (2) = -15
(A2.1) + (A1.4) + (A1.3) + (-A1.2) = (6) + (6) + (5) + (-(2)) = 15
(-A2.1) + (A1.4) + (A1.3) + (-A1.2) = (-(6)) + (6) + (5) + (-(2)) = 3
(A2.1) + (-A1.4) + (A1.3) + (-A1.2) = (6) + (-(6)) + (5) + (-(2)) = 3
(-A2.1) + (-A1.4) + (A1.3) + (-A1.2) = (-(6)) + (-(6)) + (5) + (-(2)) = -9
(A2.1) + (A1.4) + (-A1.3) + (-A1.2) = (6) + (6) + (-(5)) + (-(2)) = 5
(-A2.1) + (A1.4) + (-A1.3) + (-A1.2) = (-(6)) + (6) + (-(5)) + (-(2)) = -7
(A2.1) + (-A1.4) + (-A1.3) + (-A1.2) = (6) + (-(6)) + (-(5)) + (-(2)) = -7
(-A2.1) + (-A1.4) + (-A1.3) + (-A1.2) = (-(6)) + (-(6)) + (-(5)) + (-(2)) = -19
(A2.1) + (A1.3) + (A1.2) = (6) + (5) + (2) = 13
(-A2.1) + (A1.3) + (A1.2) = (-(6)) + (5) + (2) = 1
(A2.1) + (-A1.3) + (A1.2) = (6) + (-(5)) + (2) = 3
(-A2.1) + (-A1.3) + (A1.2) = (-(6)) + (-(5)) + (2) = -9
(A2.1) + (A1.3) + (-A1.2) = (6) + (5) + (-(2)) = 9
(-A2.1) + (A1.3) + (-A1.2) = (-(6)) + (5) + (-(2)) = -3
(A2.1) + (-A1.3) + (-A1.2) = (6) + (-(5)) + (-(2)) = -1
(-A2.1) + (-A1.3) + (-A1.2) = (-(6)) + (-(5)) + (-(2)) = -13
(A2.1) + (A1.2) = (6) + (2) = 8
(-A2.1) + (A1.2) = (-(6)) + (2) = -4
(A2.1) + (-A1.2) = (6) + (-(2)) = 4
(-A2.1) + (-A1.2) = (-(6)) + (-(2)) = -8