Loading...完整的代码和计算结果
综合前面的介绍，这里我们给出最终的 24 点游戏的代码：
import scala.collection.mutable.Stack
trait BinaryOp{
val op:String
def apply(expr1:String,expr2:String) = expr1 + op + expr2
def unapply(str:String) :Option[(String,String)] ={
val index=str indexOf (op)
if(index&0)
Some(str substring(0,index),str substring(index+1))
class Rational (n:Int, d:Int) {
require(d!=0)
private val g =gcd (n.abs,d.abs)
val numer =n/g
val denom =d/g
override def toString = numer + "\\" +denom
def +(that:Rational)
new Rational(
numer * that.denom + that.numer* denom,
denom * that.denom
def -(that:Rational)
new Rational(
numer * that.denom - that.numer* denom,
denom * that.denom
def * (that:Rational) =
new Rational( numer * that.numer, denom * that.denom)
def / (that:Rational) =
new Rational( numer * that.denom, denom * that.numer)
def this(n:Int) = this(n,1)
private def gcd(a:Int,b:Int):Int =
if(b==0) a else gcd(b, a % b)
object Bracket{
def matchBracket(str:String):Option[(Int,Int)] ={
val left = str.indexOf('(')
if(left &=0) {
val stack = Stack[Char]()
val remaining = str substring (left+1)
var index=0
var right=0
for(c &-remaining if right==0){
index=index + 1
case '(' =& stack push c
=& if (stack isEmpty)
right= left+index else stack pop
Some(left,right)
def apply(part1:String,expr:String,part2:String) =part1+ "(" + expr + ")"+ part2
def unapply(str:String) :Option[(String,String,String)] ={
Bracket.matchBracket(str) match{
case Some((left:Int,right:Int)) =&{
val part1 = if (left == 0) "" else str substring(0, left )
val expr = str substring(left + 1, right)
val part2 = if (right == (str length)-1) "" else str substring (right+1)
Some(part1, expr, part2)
case _ =& None
object Multiply
extends {val op="*"} with BinaryOp
object Divide
extends {val op="/"} with BinaryOp
object Add
extends {val op="+"} with BinaryOp
object Subtract
extends {val op="-"} with BinaryOp
object Rational
extends {val op="\\"} with BinaryOp
object Test extends App{
val templates=List(
"N*N-N+N",
"(N-N)*N*N",
"N*N+N*N",
"(N+N)*N*N",
"N*N*N*N",
"(N+N*N)*N",
"(N*N-N)*N",
"N*N+N+N",
"(N/N-N)*N",
"(N-(N-N))*N",
"N-(N-N-N)",
"N+N-(N-N)",
"N*(N/N-N)",
"(N-N*N)*N",
"N*(N-N)+N",
"N+N+N/N",
"(N-N)*(N-N)",
"N+N*N/N",
"N*N/(N-N)",
"(N+N)*(N+N)",
"(N-N)*N/N",
"N+(N+N)/N",
"N*N/(N+N)",
"(N+N)*N/N",
"(N*N+N)*N",
"(N*N-N)/N",
"(N/N+N)*N",
"N*N/N/N",
"N+N+N-N",
"N-(N-N)+N",
"N/(N-N/N)",
"N+(N-N)*N",
"(N+N+N)*N",
"N+N*N-N",
"N*N-N/N",
"(N+N)*N-N",
"(N+N)*(N-N)",
"(N-N/N)*N",
"N*(N+N)+N",
"N*N+N/N",
"N*N/N-N",
"(N+N/N)*N",
"N*N*N/N",
"(N+N*N)/N",
"N+N*N+N",
"N-(N-N)*N",
"(N-(N+N))*N",
"N*N-N-N",
"N+N/N+N",
"(N-N)*N-N",
"(N+N)/N+N",
"N*N+N-N",
"N/N+N+N",
"N*N*N-N",
"(N*N+N)/N",
"N+N+N*N",
"N*(N-N)/N",
"N/N*N+N",
"N+N*N*N",
"N+N+N+N",
"N*N/(N*N)",
"N+(N+N)*N",
"(N-N)*N+N",
"(N+N+N)/N",
"(N+N)*N+N",
"N*N*N+N",
"N*N-(N-N)",
"N*N-(N+N)",
"(N-N-N)*N",
"N*N/N+N",
"(N+N-N)*N",
"N/(N/N-N)",
def eval(str:String):Rational = {
str match {
case Bracket(part1, expr, part2) =& eval(part1 + eval(expr) + part2)
case Add(expr1, expr2) =& eval(expr1) + eval(expr2)
case Subtract(expr1, expr2) =& eval(expr1) - eval(expr2)
case Multiply(expr1, expr2) =& eval(expr1) * eval(expr2)
case Divide(expr1, expr2) =&
eval(expr1) / eval(expr2)
case "" =& new Rational(0, 1)
case Rational(expr1, expr2) =&
new Rational(expr1.trim toInt, expr2.trim toInt)
case _ =& new Rational(str.trim toInt, 1)
def calculate(template:String,numbers:List[Int])={
val values=template.split('N')
var expression=""
for(i &- 0 to 3)
expression=expression+values(i) + numbers(i)
if (values.length==5) expression=expression+values(4)
(expression,template,eval(expression))
def cal24(input:List[Int])={
var found = false
for (template &- list &- input.permutations ) {
val (expression, tp, result) = calculate(template, list)
if (result.numer == 24 && result.denom == 1) {
println(input + ":" + tp + ":" + expression)
found = true
case e:Throwable=&
if (!found) {
println(input+":"+"no result")
def cal24once(input:List[Int])={
var found = false
for (template &- list &- input.permutations if(!found)) {
val (expression, tp, result) = calculate(template, list)
if (result.numer == 24 && result.denom == 1) {
println(input + ":" + tp + ":" + expression)
found = true
case e:Throwable=&
if (!found) {
println(input+":"+"no result")
println(cal24once(List(5,5,5,1)))
下面给出所有从1到10的四个数字有解的结果：
List(1,1,1,8)
List(1,1,2,10)
(N+N)*(N+N)
(1+1)*(2+10)
List(1,1,2,6)
List(1,1,2,7)
(N+N)*(N+N)
(1+2)*(1+7)
List(1,1,2,8)
List(1,1,2,9)
(N+N)*(N-N)
(1+2)*(9-1)
List(1,1,3,10)
(N-(N+N))*N
(10-(1+1))*3
List(1,1,3,4)
List(1,1,3,5)
(N+N)*(N+N)
(1+3)*(1+5)
List(1,1,3,6)
List(1,1,3,7)
List(1,1,3,8)
List(1,1,3,9)
List(1,1,4,10)
10*(1+1)+4
List(1,1,4,4)
List(1,1,4,5)
List(1,1,4,6)
List(1,1,4,7)
List(1,1,4,8)
List(1,1,4,9)
(N-N)*(N-N)
(1-4)*(1-9)
List(1,1,5,5)
List(1,1,5,6)
List(1,1,5,7)
(N-N)*(N-N)
(1-5)*(1-7)
List(1,1,5,8)
(N-(N+N))*N
(5-(1+1))*8
List(1,1,6,6)
(N+N)*(N+N)
(1+1)*(6+6)
List(1,1,6,8)
List(1,1,6,9)
List(1,1,7,10)
7*(1+1)+10
List(1,1,8,8)
List(1,2,2,10)
List(1,2,2,4)
List(1,2,2,5)
List(1,2,2,6)
List(1,2,2,7)
List(1,2,2,8)
List(1,2,2,9)
List(1,2,3,10)
List(1,2,3,3)
List(1,2,3,4)
List(1,2,3,5)
List(1,2,3,6)
List(1,2,3,7)
List(1,2,3,8)
List(1,2,3,9)
List(1,2,4,10)
List(1,2,4,4)
List(1,2,4,5)
(N-(N-N))*N
(2-(1-5))*4
List(1,2,4,6)
List(1,2,4,7)
(N-(N-N))*N
(1-(2-7))*4
List(1,2,4,8)
List(1,2,4,9)
(N-(N-N))*N
(4-(1-9))*2
List(1,2,5,10)
List(1,2,5,5)
List(1,2,5,6)
(N-(N-N))*N
(1-(2-5))*6
List(1,2,5,7)
List(1,2,5,8)
List(1,2,5,9)
List(1,2,6,10)
(10/2-1)*6
List(1,2,6,6)
List(1,2,6,7)
(N-(N-N))*N
(6-(1-7))*2
List(1,2,6,8)
List(1,2,6,9)
List(1,2,7,10)
List(1,2,7,7)
List(1,2,7,8)
List(1,2,7,9)
List(1,2,8,10)
2*(8-1)+10
List(1,2,8,8)
List(1,2,8,9)
List(1,3,10,10)
List(1,3,3,10)
(N-(N-N))*N
(1-(3-10))*3
List(1,3,3,3)
List(1,3,3,4)
List(1,3,3,5)
List(1,3,3,6)
(N-(N-N))*N
(3-(1-6))*3
List(1,3,3,7)
List(1,3,3,8)
List(1,3,3,9)
List(1,3,4,10)
10*(3-1)+4
List(1,3,4,4)
List(1,3,4,5)
List(1,3,4,6)
List(1,3,4,7)
List(1,3,4,8)
(N-(N-N))*N
(1-(3-8))*4
List(1,3,4,9)
List(1,3,5,10)
List(1,3,5,6)
List(1,3,5,7)
(N+N)*(N-N)
(1+5)*(7-3)
List(1,3,5,8)
List(1,3,5,9)
List(1,3,6,10)
List(1,3,6,6)
List(1,3,6,7)
List(1,3,6,8)
List(1,3,6,9)
List(1,3,7,10)
List(1,3,7,7)
(N-N)*(N-N)
(1-7)*(3-7)
List(1,3,7,8)
List(1,3,7,9)
List(1,3,8,10)
(10-1)*8/3
List(1,3,8,8)
List(1,3,8,9)
List(1,3,9,10)
(1+10)*3-9
List(1,3,9,9)
List(1,4,10,10)
List(1,4,4,10)
List(1,4,4,4)
(N+N)*(N-N)
(4+4)*(4-1)
List(1,4,4,5)
List(1,4,4,6)
List(1,4,4,7)
List(1,4,4,8)
List(1,4,4,9)
List(1,4,5,10)
(N-(N-N))*N
(1-(5-10))*4
List(1,4,5,5)
List(1,4,5,6)
List(1,4,5,7)
List(1,4,5,8)
List(1,4,5,9)
List(1,4,6,10)
(4-1)*10-6
List(1,4,6,6)
List(1,4,6,7)
(N-(N-N))*N
(1-(4-7))*6
List(1,4,6,8)
List(1,4,6,9)
(N-(N+N))*N
(9-(1+4))*6
List(1,4,7,7)
(N+N)*(N-N)
(1+7)*(7-4)
List(1,4,7,8)
List(1,4,7,9)
(N-N)*(N-N)
(1-9)*(4-7)
List(1,4,8,8)
List(1,4,8,9)
List(1,4,9,10)
List(1,5,10,10)
5+10-(1-10)
List(1,5,5,10)
(10-5)*5-1
List(1,5,5,5)
List(1,5,5,6)
List(1,5,5,9)
(N+N)*(N-N)
(1+5)*(9-5)
List(1,5,6,10)
(N+N)*(N-N)
(1+5)*(10-6)
List(1,5,6,6)
List(1,5,6,7)
List(1,5,6,8)
(N-(N-N))*N
(1-(5-8))*6
List(1,5,6,9)
List(1,5,7,10)
(7/5+1)*10
List(1,5,7,8)
(N-(N-N))*N
(1-(5-7))*8
List(1,5,7,9)
(N-N)*(N-N)
(1-7)*(5-9)
List(1,5,8,10)
(10/5+1)*8
List(1,5,8,8)
List(1,5,8,9)
(N-N)*(N-N)
(1-9)*(5-8)
List(1,5,9,10)
List(1,5,9,9)
List(1,6,6,10)
List(1,6,6,6)
List(1,6,6,8)
List(1,6,6,9)
(N-(N-N))*N
(1-(6-9))*6
List(1,6,7,10)
(N-(N-N))*N
(1-(7-10))*6
List(1,6,7,9)
(N+N)*(N-N)
(1+7)*(9-6)
List(1,6,8,10)
List(1,6,8,8)
(N-(N-N))*N
(1-(6-8))*8
List(1,6,8,9)
List(1,6,9,10)
6+9-(1-10)
List(1,6,9,9)
List(1,7,7,10)
List(1,7,7,9)
List(1,7,8,10)
List(1,7,8,8)
List(1,7,8,9)
List(1,7,9,10)
(N-N)*(N-N)
(1-9)*(7-10)
List(1,7,9,9)
List(1,8,8,10)
(N-(N-N))*N
(1-(8-10))*8
List(1,8,8,8)
List(1,8,8,9)
List(2,2,10,10)
List(2,2,2,10)
List(2,2,2,3)
List(2,2,2,4)
List(2,2,2,5)
List(2,2,2,7)
List(2,2,2,8)
List(2,2,2,9)
List(2,2,3,10)
(3+10)*2-2
List(2,2,3,3)
List(2,2,3,4)
List(2,2,3,5)
List(2,2,3,6)
List(2,2,3,7)
List(2,2,3,8)
List(2,2,3,9)
List(2,2,4,10)
List(2,2,4,4)
List(2,2,4,5)
List(2,2,4,6)
List(2,2,4,7)
List(2,2,4,8)
List(2,2,4,9)
List(2,2,5,10)
(N-N)*(N-N)
(2-5)*(2-10)
List(2,2,5,5)
List(2,2,5,6)
(N+N)*(N-N)
(2+6)*(5-2)
List(2,2,5,7)
List(2,2,5,8)
List(2,2,5,9)
(N-(N-N))*N
(5-(2-9))*2
List(2,2,6,10)
List(2,2,6,6)
List(2,2,6,7)
List(2,2,6,8)
List(2,2,6,9)
List(2,2,7,10)
(10/2+7)*2
List(2,2,7,7)
(N-(N-N))*N
(7-(2-7))*2
List(2,2,7,8)
List(2,2,8,10)
List(2,2,8,8)
List(2,2,8,9)
List(2,2,9,10)
2*(9-2)+10
List(2,3,10,10)
2*(10-3)+10
List(2,3,3,10)
(10/2+3)*3
List(2,3,3,3)
List(2,3,3,5)
List(2,3,3,6)
List(2,3,3,7)
List(2,3,3,8)
List(2,3,3,9)
List(2,3,4,10)
List(2,3,4,4)
List(2,3,4,5)
(N-(N-N))*N
(3-(2-5))*4
List(2,3,4,6)
List(2,3,4,7)
(N-(N-N))*N
(2-(3-7))*4
List(2,3,4,8)
List(2,3,4,9)
List(2,3,5,10)
(N-(N-N))*N
(5-(3-10))*2
List(2,3,5,5)
List(2,3,5,6)
List(2,3,5,7)
List(2,3,5,8)
List(2,3,5,9)
List(2,3,6,10)
List(2,3,6,6)
List(2,3,6,7)
List(2,3,6,8)
List(2,3,6,9)
List(2,3,7,10)
List(2,3,7,7)
List(2,3,7,8)
(N-(N-N))*N
(7-(3-8))*2
List(2,3,7,9)
List(2,3,8,10)
List(2,3,8,8)
List(2,3,8,9)
List(2,3,9,10)
List(2,3,9,9)
List(2,4,10,10)
(4/10+2)*10
List(2,4,4,10)
List(2,4,4,4)
List(2,4,4,5)
List(2,4,4,6)
List(2,4,4,7)
List(2,4,4,8)
List(2,4,4,9)
List(2,4,5,10)
List(2,4,5,5)
List(2,4,5,6)
List(2,4,5,7)
List(2,4,5,8)
List(2,4,5,9)
(N-(N-N))*N
(2-(5-9))*4
List(2,4,6,10)
List(2,4,6,6)
List(2,4,6,7)
List(2,4,6,8)
List(2,4,6,9)
List(2,4,7,10)
List(2,4,7,7)
List(2,4,7,8)
List(2,4,7,9)
List(2,4,8,10)
List(2,4,8,8)
List(2,4,8,9)
(N-(N+N))*N
(9-(2+4))*8
List(2,4,9,10)
List(2,4,9,9)
List(2,5,10,10)
(2+10)*10/5
List(2,5,5,10)
(5-2/10)*5
List(2,5,5,7)
List(2,5,5,8)
List(2,5,5,9)
List(2,5,6,10)
(10/5+2)*6
List(2,5,6,6)
List(2,5,6,7)
List(2,5,6,8)
List(2,5,6,9)
List(2,5,7,10)
(N-(N-N))*N
(7-(5-10))*2
List(2,5,7,7)
List(2,5,7,8)
List(2,5,7,9)
List(2,5,8,10)
(N-N)*(N-N)
(2-10)*(5-8)
List(2,5,8,8)
List(2,5,8,9)
(N-(N-N))*N
(8-(5-9))*2
List(2,5,9,10)
List(2,6,10,10)
List(2,6,6,10)
List(2,6,6,6)
List(2,6,6,7)
List(2,6,6,8)
List(2,6,6,9)
List(2,6,7,10)
List(2,6,7,8)
(N-(N-N))*N
(2-(6-7))*8
List(2,6,7,9)
List(2,6,8,10)
List(2,6,8,8)
List(2,6,8,9)
List(2,6,9,10)
(N-N)*(N-N)
(2-10)*(6-9)
List(2,6,9,9)
(N-(N-N))*N
(9-(6-9))*2
List(2,7,10,10)
(N-N)*(N-N)
(2-10)*(7-10)
List(2,7,7,10)
(10/7+2)*7
List(2,7,7,8)
List(2,7,8,8)
(N-(N-N))*N
(2-(7-8))*8
List(2,7,8,9)
List(2,7,9,10)
(N-(N-N))*N
(9-(7-10))*2
List(2,8,10,10)
(N-(N-N))*N
(10-(8-10))*2
List(2,8,8,10)
8+8-(2-10)
List(2,8,8,8)
List(2,8,8,9)
(N-(N-N))*N
(2-(8-9))*8
List(2,8,9,10)
(N-(N-N))*N
(2-(9-10))*8
List(2,8,9,9)
List(2,9,10,10)
List(3,3,3,10)
3*(10-3)+3
List(3,3,3,3)
List(3,3,3,4)
List(3,3,3,5)
List(3,3,3,6)
List(3,3,3,7)
List(3,3,3,8)
List(3,3,3,9)
List(3,3,4,4)
List(3,3,4,5)
List(3,3,4,6)
List(3,3,4,7)
(N-(N-N))*N
(4-(3-7))*3
List(3,3,4,8)
List(3,3,4,9)
List(3,3,5,10)
List(3,3,5,5)
List(3,3,5,6)
List(3,3,5,7)
List(3,3,5,9)
List(3,3,6,10)
List(3,3,6,6)
List(3,3,6,7)
List(3,3,6,8)
List(3,3,6,9)
List(3,3,7,7)
List(3,3,7,8)
List(3,3,7,9)
(N-N)*(N-N)
(3-7)*(3-9)
List(3,3,8,10)
List(3,3,8,8)
List(3,3,8,9)
List(3,3,9,10)
List(3,3,9,9)
List(3,4,10,10)
List(3,4,4,10)
(10-3)*4-4
List(3,4,4,4)
List(3,4,4,5)
List(3,4,4,6)
List(3,4,4,7)
(N-(N-N))*N
(3-(4-7))*4
List(3,4,4,8)
List(3,4,4,9)
List(3,4,5,10)
10*(5-3)+4
List(3,4,5,5)
List(3,4,5,6)
(N-(N-N))*N
(3-(4-5))*6
List(3,4,5,7)
List(3,4,5,8)
List(3,4,5,9)
List(3,4,6,10)
List(3,4,6,6)
List(3,4,6,8)
List(3,4,6,9)
(N-(N-N))*N
(3-(6-9))*4
List(3,4,7,10)
(N-(N-N))*N
(3-(7-10))*4
List(3,4,7,7)
List(3,4,7,8)
List(3,4,7,9)
List(3,4,8,10)
List(3,4,8,9)
List(3,4,9,9)
List(3,5,10,10)
(10-10/5)*3
List(3,5,5,6)
List(3,5,5,7)
List(3,5,5,8)
List(3,5,5,9)
List(3,5,6,10)
(10/5+6)*3
List(3,5,6,6)
(N-(N-N))*N
(3-(5-6))*6
List(3,5,6,7)
(N-(N-N))*N
(6-(5-7))*3
List(3,5,6,8)
List(3,5,6,9)
List(3,5,7,10)
(N-(N-N))*N
(5-(7-10))*3
List(3,5,7,8)
List(3,5,7,9)
(N+N)*(N-N)
(3+9)*(7-5)
List(3,5,8,8)
List(3,5,8,9)
List(3,5,9,10)
3*(10-5)+9
List(3,5,9,9)
(N-N)*(N-N)
(3-9)*(5-9)
List(3,6,10,10)
(10/10+3)*6
List(3,6,6,10)
(6-3)*10-6
List(3,6,6,6)
List(3,6,6,7)
(N-(N-N))*N
(3-(6-7))*6
List(3,6,6,8)
List(3,6,6,9)
List(3,6,7,10)
List(3,6,7,7)
(N-(N-N))*N
(7-(6-7))*3
List(3,6,7,8)
List(3,6,7,9)
List(3,6,8,10)
(N-(N-N))*N
(6-(8-10))*3
List(3,6,8,8)
List(3,6,8,9)
(N-(N-N))*N
(3-(8-9))*6
List(3,6,9,10)
(N-(N-N))*N
(3-(9-10))*6
List(3,6,9,9)
List(3,7,10,10)
7+10-(3-10)
List(3,7,7,10)
List(3,7,7,7)
List(3,7,7,8)
List(3,7,7,9)
List(3,7,8,8)
List(3,7,8,9)
(N-(N-N))*N
(7-(8-9))*3
List(3,7,9,10)
List(3,7,9,9)
List(3,8,10,10)
List(3,8,8,10)
(8*10-8)/3
List(3,8,8,8)
List(3,8,8,9)
List(3,8,9,10)
List(3,8,9,9)
List(3,9,10,10)
(9-10/10)*3
List(3,9,9,10)
(N-(N-N))*N
(9-(10-9))*3
List(3,9,9,9)
List(4,4,10,10)
(10*10-4)/4
List(4,4,4,10)
List(4,4,4,4)
List(4,4,4,5)
List(4,4,4,6)
List(4,4,4,7)
(N+N)*(N-N)
(4+4)*(7-4)
List(4,4,4,8)
List(4,4,4,9)
List(4,4,5,10)
4*(10-5)+4
List(4,4,5,5)
(N-(N-N))*N
(5-(4-5))*4
List(4,4,5,6)
List(4,4,5,7)
(N-(N-N))*N
(4-(5-7))*4
List(4,4,5,8)
List(4,4,6,10)
10*(6-4)+4
List(4,4,6,8)
(N-(N-N))*N
(4-(6-8))*4
List(4,4,6,9)
List(4,4,7,10)
(N+N)*(N-N)
(4+4)*(10-7)
List(4,4,7,7)
List(4,4,7,8)
List(4,4,7,9)
(N-(N-N))*N
(4-(7-9))*4
List(4,4,8,10)
(N-(N-N))*N
(4-(8-10))*4
List(4,4,8,8)
List(4,4,8,9)
List(4,5,10,10)
List(4,5,5,10)
List(4,5,5,5)
List(4,5,5,6)
List(4,5,5,7)
List(4,5,5,8)
List(4,5,5,9)
List(4,5,6,10)
List(4,5,6,6)
List(4,5,6,7)
(N-(N-N))*N
(5-(6-7))*4
List(4,5,6,8)
(N-(N-N))*N
(4-(6-5))*8
List(4,5,6,9)
List(4,5,7,10)
10*(7-5)+4
List(4,5,7,7)
List(4,5,7,8)
(N-(N-N))*N
(5-(7-8))*4
List(4,5,7,9)
List(4,5,8,10)
(4+8)*10/5
List(4,5,8,8)
List(4,5,8,9)
(N-(N-N))*N
(5-(8-9))*4
List(4,5,9,10)
(N-(N-N))*N
(5-(9-10))*4
List(4,5,9,9)
List(4,6,10,10)
List(4,6,6,10)
(6+10)*6/4
List(4,6,6,6)
List(4,6,6,7)
List(4,6,6,8)
List(4,6,6,9)
List(4,6,7,10)
List(4,6,7,7)
List(4,6,7,8)
List(4,6,7,9)
List(4,6,8,10)
4*(10-6)+8
List(4,6,8,8)
List(4,6,8,9)
List(4,6,9,10)
List(4,6,9,9)
List(4,7,10,10)
(7-10/10)*4
List(4,7,7,7)
List(4,7,7,8)
(N-(N-N))*N
(7-(8-7))*4
List(4,7,8,10)
List(4,7,8,8)
(N-(N-N))*N
(4-(8-7))*8
List(4,7,8,9)
(N-(N-N))*N
(7-(9-8))*4
List(4,7,9,10)
(N-(N-N))*N
(7-(10-9))*4
List(4,7,9,9)
List(4,8,10,10)
8+10-(4-10)
List(4,8,8,10)
(N-(N-N))*N
(8-(10-8))*4
List(4,8,8,8)
List(4,8,8,9)
(N-(N-N))*N
(4-(9-8))*8
List(4,8,9,10)
(N-(N-N))*N
(4-(10-9))*8
List(4,8,9,9)
List(4,9,9,10)
9+9-(4-10)
List(5,5,10,10)
List(5,5,5,5)
List(5,5,5,6)
List(5,5,5,9)
List(5,5,6,6)
(N-(N-N))*N
(5-(6-5))*6
List(5,5,6,7)
List(5,5,6,8)
List(5,5,7,10)
(5+7)*10/5
List(5,5,7,7)
List(5,5,7,8)
List(5,5,8,10)
(5+10)*8/5
List(5,5,8,8)
List(5,5,8,9)
List(5,5,9,10)
List(5,5,9,9)
List(5,6,10,10)
(10+10)*6/5
List(5,6,6,10)
(6+6)*10/5
List(5,6,6,6)
List(5,6,6,7)
(N-(N-N))*N
(5-(7-6))*6
List(5,6,6,8)
List(5,6,6,9)
List(5,6,7,7)
List(5,6,7,8)
(N-(N-N))*N
(5-(8-7))*6
List(5,6,7,9)
List(5,6,8,10)
List(5,6,8,8)
(N-(N-N))*N
(5-(8-6))*8
List(5,6,8,9)
(N-(N-N))*N
(5-(9-8))*6
List(5,6,9,10)
(N-(N-N))*N
(5-(10-9))*6
List(5,6,9,9)
List(5,7,10,10)
List(5,7,7,10)
7*(7-5)+10
List(5,7,7,9)
(N+N)*(N-N)
(5+7)*(9-7)
List(5,7,8,10)
(N+N)*(N-N)
(5+7)*(10-8)
List(5,7,8,8)
List(5,7,8,9)
(N-(N-N))*N
(5-(9-7))*8
List(5,7,9,10)
5*(10-7)+9
List(5,8,8,10)
(N-(N-N))*N
(5-(10-8))*8
List(5,8,8,8)
List(5,8,8,9)
List(5,9,10,10)
9+10-(5-10)
List(6,10,10,10)
10+10-(6-10)
List(6,6,6,10)
List(6,6,6,6)
List(6,6,6,8)
(N-(N-N))*N
(6-(8-6))*6
List(6,6,6,9)
List(6,6,7,10)
6*(10-7)+6
List(6,6,7,9)
(N-(N-N))*N
(6-(9-7))*6
List(6,6,8,10)
(N-(N-N))*N
(6-(10-8))*6
List(6,6,8,8)
List(6,6,8,9)
(N-(N-N))*N
(6-(9-6))*8
List(6,6,9,10)
(6+10)*9/6
List(6,7,10,10)
(10-7)*10-6
List(6,7,7,10)
(N-(N-N))*N
(7-(10-7))*6
List(6,7,8,10)
(N-(N-N))*N
(6-(10-7))*8
List(6,7,8,9)
List(6,7,9,9)
List(6,8,8,10)
6*8/(10-8)
List(6,8,8,8)
List(6,8,8,9)
List(6,8,9,10)
9*(10-8)+6
List(6,8,9,9)
List(6,9,9,10)
List(7,7,9,10)
7*(9-7)+10
List(7,8,10,10)
7*(10-8)+10
List(7,8,8,10)
List(7,8,8,9)
List(7,8,9,10)
8*9/(10-7)
List(8,8,8,10)
8*(10-8)+8