小学奥数编程题（4）

题目：
ABCDE FGHIJ 为0~9的不同数字组成的两个数,首数字不为零,具有两倍关系, 即FGHIJ=2*ABCDE,问ABCDE在所有可能数里,最大和最小数是多少?

需要的类库可以从 https://github.com/raistlic/raistlic-lib-commons-core 下载

编程解法： 

import org.raistlic.common.permutation.Combination;
import org.raistlic.common.permutation.Permutation;

import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;

/**
 * ABCDE FGHIJ 为0~9的不同数字组成的两个数,首数字不为零,具有两倍关系, 即FGHIJ=2XABCDE,问ABCDE在所有可能数里,最大和最小数是多少?
 * Created by xwx on 16/1/2.
 */
public class NumMax {

        static  long min = Long.MAX_VALUE;
        static  long max = Long.MIN_VALUE;

        public static void main(String[] args) {

            System.out.println("===== demo Combination :");

            final List<Integer> full_list = Arrays.asList(0, 1, 2, 3, 4, 5, 6, 7, 8, 9);

            for(List<Integer> list : Combination.of(full_list,5)){

                List<Integer> list2 = new ArrayList<Integer>();
                list2.addAll(full_list);
                list2.removeAll(list);

                System.out.println(list+"-"+list2);

                for(List<Integer> slist1:Permutation.of(list))
                   for(List<Integer> slist2:Permutation.of(list2))
                      isAnswer(slist1, slist2);

            }

            System.out.println("min = " + min + " : " + (min * 2) + " max=" + max +" : "+ (max * 2));

        }

        public static int  sum( List<Integer> list){
            return  list.get(0)+
                    list.get(1)*10+
                    list.get(2)*100+
                    list.get(3)*1000+
                    list.get(4)*10000;
        }

        public static boolean isAnswer(List<Integer> list1, List<Integer> list2){
            if(list1.get(4)==0 || list2.get(4) ==0) return false;
            if(list1.get(4)>4 || list2.get(4) <2) return false;

            long presum  = sum(list1);
            long thissum = sum(list2);
            if(2*presum == thissum) {
                System.out.println("ABCDE=" + presum + " FGHIJ=" + thissum);
                if(min>presum) min = presum;
                if(max<presum) max = presum;
                return true;
            }
            return false;
        }

}

本程序采用maven进行编译

<?xml version="1.0" encoding="UTF-8"?>
<project xmlns="http://maven.apache.org/POM/4.0.0"
         xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
         xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
    <modelVersion>4.0.0</modelVersion>

    <groupId>so.qsn</groupId>
    <artifactId>mathtests</artifactId>
    <version>1.0-SNAPSHOT</version>
<dependencies>
    <dependency>
        <groupId>org.raistlic.lib</groupId>
        <artifactId>commons-core</artifactId>
        <version>1.4-SNAPSHOT</version>
    </dependency>

</dependencies>
    
</project>

打印的结果为：
===== demo Combination :
[0, 1, 2, 3, 4]-[5, 6, 7, 8, 9]
[0, 1, 2, 3, 5]-[4, 6, 7, 8, 9]
[0, 1, 2, 3, 6]-[4, 5, 7, 8, 9]
[0, 1, 2, 3, 7]-[4, 5, 6, 8, 9]
[0, 1, 2, 3, 8]-[4, 5, 6, 7, 9]
[0, 1, 2, 3, 9]-[4, 5, 6, 7, 8]
[0, 1, 2, 4, 5]-[3, 6, 7, 8, 9]
[0, 1, 2, 4, 6]-[3, 5, 7, 8, 9]
[0, 1, 2, 4, 7]-[3, 5, 6, 8, 9]
[0, 1, 2, 4, 8]-[3, 5, 6, 7, 9]
[0, 1, 2, 4, 9]-[3, 5, 6, 7, 8]
[0, 1, 2, 5, 6]-[3, 4, 7, 8, 9]
[0, 1, 2, 5, 7]-[3, 4, 6, 8, 9]
[0, 1, 2, 5, 8]-[3, 4, 6, 7, 9]
[0, 1, 2, 5, 9]-[3, 4, 6, 7, 8]
[0, 1, 2, 6, 7]-[3, 4, 5, 8, 9]
[0, 1, 2, 6, 8]-[3, 4, 5, 7, 9]
[0, 1, 2, 6, 9]-[3, 4, 5, 7, 8]
[0, 1, 2, 7, 8]-[3, 4, 5, 6, 9]
[0, 1, 2, 7, 9]-[3, 4, 5, 6, 8]
[0, 1, 2, 8, 9]-[3, 4, 5, 6, 7]
[0, 1, 3, 4, 5]-[2, 6, 7, 8, 9]
[0, 1, 3, 4, 6]-[2, 5, 7, 8, 9]
[0, 1, 3, 4, 7]-[2, 5, 6, 8, 9]
[0, 1, 3, 4, 8]-[2, 5, 6, 7, 9]
[0, 1, 3, 4, 9]-[2, 5, 6, 7, 8]
[0, 1, 3, 5, 6]-[2, 4, 7, 8, 9]
[0, 1, 3, 5, 7]-[2, 4, 6, 8, 9]
[0, 1, 3, 5, 8]-[2, 4, 6, 7, 9]
[0, 1, 3, 5, 9]-[2, 4, 6, 7, 8]
[0, 1, 3, 6, 7]-[2, 4, 5, 8, 9]
[0, 1, 3, 6, 8]-[2, 4, 5, 7, 9]
[0, 1, 3, 6, 9]-[2, 4, 5, 7, 8]
[0, 1, 3, 7, 8]-[2, 4, 5, 6, 9]
[0, 1, 3, 7, 9]-[2, 4, 5, 6, 8]
[0, 1, 3, 8, 9]-[2, 4, 5, 6, 7]
[0, 1, 4, 5, 6]-[2, 3, 7, 8, 9]
[0, 1, 4, 5, 7]-[2, 3, 6, 8, 9]
[0, 1, 4, 5, 8]-[2, 3, 6, 7, 9]
[0, 1, 4, 5, 9]-[2, 3, 6, 7, 8]
[0, 1, 4, 6, 7]-[2, 3, 5, 8, 9]
[0, 1, 4, 6, 8]-[2, 3, 5, 7, 9]
[0, 1, 4, 6, 9]-[2, 3, 5, 7, 8]
[0, 1, 4, 7, 8]-[2, 3, 5, 6, 9]
[0, 1, 4, 7, 9]-[2, 3, 5, 6, 8]
[0, 1, 4, 8, 9]-[2, 3, 5, 6, 7]
[0, 1, 5, 6, 7]-[2, 3, 4, 8, 9]
[0, 1, 5, 6, 8]-[2, 3, 4, 7, 9]
[0, 1, 5, 6, 9]-[2, 3, 4, 7, 8]
[0, 1, 5, 7, 8]-[2, 3, 4, 6, 9]
[0, 1, 5, 7, 9]-[2, 3, 4, 6, 8]
[0, 1, 5, 8, 9]-[2, 3, 4, 6, 7]
[0, 1, 6, 7, 8]-[2, 3, 4, 5, 9]
[0, 1, 6, 7, 9]-[2, 3, 4, 5, 8]
[0, 1, 6, 8, 9]-[2, 3, 4, 5, 7]
[0, 1, 7, 8, 9]-[2, 3, 4, 5, 6]
[0, 2, 3, 4, 5]-[1, 6, 7, 8, 9]
[0, 2, 3, 4, 6]-[1, 5, 7, 8, 9]
[0, 2, 3, 4, 7]-[1, 5, 6, 8, 9]
[0, 2, 3, 4, 8]-[1, 5, 6, 7, 9]
[0, 2, 3, 4, 9]-[1, 5, 6, 7, 8]
[0, 2, 3, 5, 6]-[1, 4, 7, 8, 9]
[0, 2, 3, 5, 7]-[1, 4, 6, 8, 9]
[0, 2, 3, 5, 8]-[1, 4, 6, 7, 9]
[0, 2, 3, 5, 9]-[1, 4, 6, 7, 8]
[0, 2, 3, 6, 7]-[1, 4, 5, 8, 9]
[0, 2, 3, 6, 8]-[1, 4, 5, 7, 9]
[0, 2, 3, 6, 9]-[1, 4, 5, 7, 8]
[0, 2, 3, 7, 8]-[1, 4, 5, 6, 9]
[0, 2, 3, 7, 9]-[1, 4, 5, 6, 8]
ABCDE=30792 FGHIJ=61584
ABCDE=29073 FGHIJ=58146
ABCDE=27093 FGHIJ=54186
ABCDE=20793 FGHIJ=41586
ABCDE=29307 FGHIJ=58614
ABCDE=32907 FGHIJ=65814
ABCDE=30927 FGHIJ=61854
ABCDE=27309 FGHIJ=54618
ABCDE=32709 FGHIJ=65418
ABCDE=30729 FGHIJ=61458
ABCDE=32079 FGHIJ=64158
ABCDE=23079 FGHIJ=46158
[0, 2, 3, 8, 9]-[1, 4, 5, 6, 7]
[0, 2, 4, 5, 6]-[1, 3, 7, 8, 9]
[0, 2, 4, 5, 7]-[1, 3, 6, 8, 9]
[0, 2, 4, 5, 8]-[1, 3, 6, 7, 9]
[0, 2, 4, 5, 9]-[1, 3, 6, 7, 8]
[0, 2, 4, 6, 7]-[1, 3, 5, 8, 9]
[0, 2, 4, 6, 8]-[1, 3, 5, 7, 9]
[0, 2, 4, 6, 9]-[1, 3, 5, 7, 8]
[0, 2, 4, 7, 8]-[1, 3, 5, 6, 9]
[0, 2, 4, 7, 9]-[1, 3, 5, 6, 8]
[0, 2, 4, 8, 9]-[1, 3, 5, 6, 7]
[0, 2, 5, 6, 7]-[1, 3, 4, 8, 9]
[0, 2, 5, 6, 8]-[1, 3, 4, 7, 9]
[0, 2, 5, 6, 9]-[1, 3, 4, 7, 8]
[0, 2, 5, 7, 8]-[1, 3, 4, 6, 9]
[0, 2, 5, 7, 9]-[1, 3, 4, 6, 8]
[0, 2, 5, 8, 9]-[1, 3, 4, 6, 7]
[0, 2, 6, 7, 8]-[1, 3, 4, 5, 9]
[0, 2, 6, 7, 9]-[1, 3, 4, 5, 8]
ABCDE=26907 FGHIJ=53814
ABCDE=29067 FGHIJ=58134
ABCDE=26709 FGHIJ=53418
ABCDE=27069 FGHIJ=54138
ABCDE=20769 FGHIJ=41538
ABCDE=20679 FGHIJ=41358
[0, 2, 6, 8, 9]-[1, 3, 4, 5, 7]
[0, 2, 7, 8, 9]-[1, 3, 4, 5, 6]
[0, 3, 4, 5, 6]-[1, 2, 7, 8, 9]
[0, 3, 4, 5, 7]-[1, 2, 6, 8, 9]
[0, 3, 4, 5, 8]-[1, 2, 6, 7, 9]
[0, 3, 4, 5, 9]-[1, 2, 6, 7, 8]
[0, 3, 4, 6, 7]-[1, 2, 5, 8, 9]
[0, 3, 4, 6, 8]-[1, 2, 5, 7, 9]
[0, 3, 4, 6, 9]-[1, 2, 5, 7, 8]
[0, 3, 4, 7, 8]-[1, 2, 5, 6, 9]
[0, 3, 4, 7, 9]-[1, 2, 5, 6, 8]
[0, 3, 4, 8, 9]-[1, 2, 5, 6, 7]
[0, 3, 5, 6, 7]-[1, 2, 4, 8, 9]
[0, 3, 5, 6, 8]-[1, 2, 4, 7, 9]
[0, 3, 5, 6, 9]-[1, 2, 4, 7, 8]
[0, 3, 5, 7, 8]-[1, 2, 4, 6, 9]
[0, 3, 5, 7, 9]-[1, 2, 4, 6, 8]
[0, 3, 5, 8, 9]-[1, 2, 4, 6, 7]
[0, 3, 6, 7, 8]-[1, 2, 4, 5, 9]
[0, 3, 6, 7, 9]-[1, 2, 4, 5, 8]
[0, 3, 6, 8, 9]-[1, 2, 4, 5, 7]
[0, 3, 7, 8, 9]-[1, 2, 4, 5, 6]
[0, 4, 5, 6, 7]-[1, 2, 3, 8, 9]
[0, 4, 5, 6, 8]-[1, 2, 3, 7, 9]
[0, 4, 5, 6, 9]-[1, 2, 3, 7, 8]
[0, 4, 5, 7, 8]-[1, 2, 3, 6, 9]
[0, 4, 5, 7, 9]-[1, 2, 3, 6, 8]
[0, 4, 5, 8, 9]-[1, 2, 3, 6, 7]
[0, 4, 6, 7, 8]-[1, 2, 3, 5, 9]
[0, 4, 6, 7, 9]-[1, 2, 3, 5, 8]
[0, 4, 6, 8, 9]-[1, 2, 3, 5, 7]
[0, 4, 7, 8, 9]-[1, 2, 3, 5, 6]
[0, 5, 6, 7, 8]-[1, 2, 3, 4, 9]
[0, 5, 6, 7, 9]-[1, 2, 3, 4, 8]
[0, 5, 6, 8, 9]-[1, 2, 3, 4, 7]
[0, 5, 7, 8, 9]-[1, 2, 3, 4, 6]
[0, 6, 7, 8, 9]-[1, 2, 3, 4, 5]
[1, 2, 3, 4, 5]-[0, 6, 7, 8, 9]
[1, 2, 3, 4, 6]-[0, 5, 7, 8, 9]
[1, 2, 3, 4, 7]-[0, 5, 6, 8, 9]
[1, 2, 3, 4, 8]-[0, 5, 6, 7, 9]
[1, 2, 3, 4, 9]-[0, 5, 6, 7, 8]
[1, 2, 3, 5, 6]-[0, 4, 7, 8, 9]
[1, 2, 3, 5, 7]-[0, 4, 6, 8, 9]
[1, 2, 3, 5, 8]-[0, 4, 6, 7, 9]
[1, 2, 3, 5, 9]-[0, 4, 6, 7, 8]
[1, 2, 3, 6, 7]-[0, 4, 5, 8, 9]
[1, 2, 3, 6, 8]-[0, 4, 5, 7, 9]
[1, 2, 3, 6, 9]-[0, 4, 5, 7, 8]
[1, 2, 3, 7, 8]-[0, 4, 5, 6, 9]
[1, 2, 3, 7, 9]-[0, 4, 5, 6, 8]
[1, 2, 3, 8, 9]-[0, 4, 5, 6, 7]
[1, 2, 4, 5, 6]-[0, 3, 7, 8, 9]
[1, 2, 4, 5, 7]-[0, 3, 6, 8, 9]
[1, 2, 4, 5, 8]-[0, 3, 6, 7, 9]
[1, 2, 4, 5, 9]-[0, 3, 6, 7, 8]
[1, 2, 4, 6, 7]-[0, 3, 5, 8, 9]
[1, 2, 4, 6, 8]-[0, 3, 5, 7, 9]
[1, 2, 4, 6, 9]-[0, 3, 5, 7, 8]
[1, 2, 4, 7, 8]-[0, 3, 5, 6, 9]
[1, 2, 4, 7, 9]-[0, 3, 5, 6, 8]
[1, 2, 4, 8, 9]-[0, 3, 5, 6, 7]
[1, 2, 5, 6, 7]-[0, 3, 4, 8, 9]
[1, 2, 5, 6, 8]-[0, 3, 4, 7, 9]
[1, 2, 5, 6, 9]-[0, 3, 4, 7, 8]
[1, 2, 5, 7, 8]-[0, 3, 4, 6, 9]
[1, 2, 5, 7, 9]-[0, 3, 4, 6, 8]
[1, 2, 5, 8, 9]-[0, 3, 4, 6, 7]
[1, 2, 6, 7, 8]-[0, 3, 4, 5, 9]
[1, 2, 6, 7, 9]-[0, 3, 4, 5, 8]
[1, 2, 6, 8, 9]-[0, 3, 4, 5, 7]
[1, 2, 7, 8, 9]-[0, 3, 4, 5, 6]
[1, 3, 4, 5, 6]-[0, 2, 7, 8, 9]
[1, 3, 4, 5, 7]-[0, 2, 6, 8, 9]
[1, 3, 4, 5, 8]-[0, 2, 6, 7, 9]
ABCDE=48531 FGHIJ=97062
ABCDE=48351 FGHIJ=96702
ABCDE=38451 FGHIJ=76902
ABCDE=34851 FGHIJ=69702
ABCDE=45381 FGHIJ=90762
ABCDE=35481 FGHIJ=70962
ABCDE=48513 FGHIJ=97026
ABCDE=14853 FGHIJ=29706
ABCDE=48135 FGHIJ=96270
ABCDE=14835 FGHIJ=29670
ABCDE=38145 FGHIJ=76290
ABCDE=13845 FGHIJ=27690
ABCDE=31485 FGHIJ=62970
ABCDE=13485 FGHIJ=26970
ABCDE=45138 FGHIJ=90276
ABCDE=14538 FGHIJ=29076
ABCDE=35148 FGHIJ=70296
ABCDE=13548 FGHIJ=27096
[1, 3, 4, 5, 9]-[0, 2, 6, 7, 8]
[1, 3, 4, 6, 7]-[0, 2, 5, 8, 9]
[1, 3, 4, 6, 8]-[0, 2, 5, 7, 9]
[1, 3, 4, 6, 9]-[0, 2, 5, 7, 8]
[1, 3, 4, 7, 8]-[0, 2, 5, 6, 9]
[1, 3, 4, 7, 9]-[0, 2, 5, 6, 8]
[1, 3, 4, 8, 9]-[0, 2, 5, 6, 7]
[1, 3, 5, 6, 7]-[0, 2, 4, 8, 9]
[1, 3, 5, 6, 8]-[0, 2, 4, 7, 9]
[1, 3, 5, 6, 9]-[0, 2, 4, 7, 8]
[1, 3, 5, 7, 8]-[0, 2, 4, 6, 9]
[1, 3, 5, 7, 9]-[0, 2, 4, 6, 8]
[1, 3, 5, 8, 9]-[0, 2, 4, 6, 7]
[1, 3, 6, 7, 8]-[0, 2, 4, 5, 9]
[1, 3, 6, 7, 9]-[0, 2, 4, 5, 8]
[1, 3, 6, 8, 9]-[0, 2, 4, 5, 7]
[1, 3, 7, 8, 9]-[0, 2, 4, 5, 6]
[1, 4, 5, 6, 7]-[0, 2, 3, 8, 9]
[1, 4, 5, 6, 8]-[0, 2, 3, 7, 9]
ABCDE=48651 FGHIJ=97302
ABCDE=46851 FGHIJ=93702
ABCDE=48615 FGHIJ=97230
ABCDE=18645 FGHIJ=37290
ABCDE=14865 FGHIJ=29730
ABCDE=46185 FGHIJ=92370
ABCDE=16485 FGHIJ=32970
ABCDE=14685 FGHIJ=29370
ABCDE=48516 FGHIJ=97032
ABCDE=18546 FGHIJ=37092
ABCDE=45186 FGHIJ=90372
ABCDE=15486 FGHIJ=30972
[1, 4, 5, 6, 9]-[0, 2, 3, 7, 8]
[1, 4, 5, 7, 8]-[0, 2, 3, 6, 9]
[1, 4, 5, 7, 9]-[0, 2, 3, 6, 8]
[1, 4, 5, 8, 9]-[0, 2, 3, 6, 7]
[1, 4, 6, 7, 8]-[0, 2, 3, 5, 9]
[1, 4, 6, 7, 9]-[0, 2, 3, 5, 8]
[1, 4, 6, 8, 9]-[0, 2, 3, 5, 7]
[1, 4, 7, 8, 9]-[0, 2, 3, 5, 6]
[1, 5, 6, 7, 8]-[0, 2, 3, 4, 9]
[1, 5, 6, 7, 9]-[0, 2, 3, 4, 8]
[1, 5, 6, 8, 9]-[0, 2, 3, 4, 7]
[1, 5, 7, 8, 9]-[0, 2, 3, 4, 6]
[1, 6, 7, 8, 9]-[0, 2, 3, 4, 5]
[2, 3, 4, 5, 6]-[0, 1, 7, 8, 9]
[2, 3, 4, 5, 7]-[0, 1, 6, 8, 9]
[2, 3, 4, 5, 8]-[0, 1, 6, 7, 9]
[2, 3, 4, 5, 9]-[0, 1, 6, 7, 8]
[2, 3, 4, 6, 7]-[0, 1, 5, 8, 9]
[2, 3, 4, 6, 8]-[0, 1, 5, 7, 9]
[2, 3, 4, 6, 9]-[0, 1, 5, 7, 8]
[2, 3, 4, 7, 8]-[0, 1, 5, 6, 9]
[2, 3, 4, 7, 9]-[0, 1, 5, 6, 8]
[2, 3, 4, 8, 9]-[0, 1, 5, 6, 7]
[2, 3, 5, 6, 7]-[0, 1, 4, 8, 9]
[2, 3, 5, 6, 8]-[0, 1, 4, 7, 9]
[2, 3, 5, 6, 9]-[0, 1, 4, 7, 8]
[2, 3, 5, 7, 8]-[0, 1, 4, 6, 9]
[2, 3, 5, 7, 9]-[0, 1, 4, 6, 8]
[2, 3, 5, 8, 9]-[0, 1, 4, 6, 7]
[2, 3, 6, 7, 8]-[0, 1, 4, 5, 9]
[2, 3, 6, 7, 9]-[0, 1, 4, 5, 8]
[2, 3, 6, 8, 9]-[0, 1, 4, 5, 7]
[2, 3, 7, 8, 9]-[0, 1, 4, 5, 6]
[2, 4, 5, 6, 7]-[0, 1, 3, 8, 9]
[2, 4, 5, 6, 8]-[0, 1, 3, 7, 9]
[2, 4, 5, 6, 9]-[0, 1, 3, 7, 8]
[2, 4, 5, 7, 8]-[0, 1, 3, 6, 9]
[2, 4, 5, 7, 9]-[0, 1, 3, 6, 8]
[2, 4, 5, 8, 9]-[0, 1, 3, 6, 7]
[2, 4, 6, 7, 8]-[0, 1, 3, 5, 9]
[2, 4, 6, 7, 9]-[0, 1, 3, 5, 8]
[2, 4, 6, 8, 9]-[0, 1, 3, 5, 7]
[2, 4, 7, 8, 9]-[0, 1, 3, 5, 6]
[2, 5, 6, 7, 8]-[0, 1, 3, 4, 9]
[2, 5, 6, 7, 9]-[0, 1, 3, 4, 8]
[2, 5, 6, 8, 9]-[0, 1, 3, 4, 7]
[2, 5, 7, 8, 9]-[0, 1, 3, 4, 6]
[2, 6, 7, 8, 9]-[0, 1, 3, 4, 5]
[3, 4, 5, 6, 7]-[0, 1, 2, 8, 9]
[3, 4, 5, 6, 8]-[0, 1, 2, 7, 9]
[3, 4, 5, 6, 9]-[0, 1, 2, 7, 8]
[3, 4, 5, 7, 8]-[0, 1, 2, 6, 9]
[3, 4, 5, 7, 9]-[0, 1, 2, 6, 8]
[3, 4, 5, 8, 9]-[0, 1, 2, 6, 7]
[3, 4, 6, 7, 8]-[0, 1, 2, 5, 9]
[3, 4, 6, 7, 9]-[0, 1, 2, 5, 8]
[3, 4, 6, 8, 9]-[0, 1, 2, 5, 7]
[3, 4, 7, 8, 9]-[0, 1, 2, 5, 6]
[3, 5, 6, 7, 8]-[0, 1, 2, 4, 9]
[3, 5, 6, 7, 9]-[0, 1, 2, 4, 8]
[3, 5, 6, 8, 9]-[0, 1, 2, 4, 7]
[3, 5, 7, 8, 9]-[0, 1, 2, 4, 6]
[3, 6, 7, 8, 9]-[0, 1, 2, 4, 5]
[4, 5, 6, 7, 8]-[0, 1, 2, 3, 9]
[4, 5, 6, 7, 9]-[0, 1, 2, 3, 8]
[4, 5, 6, 8, 9]-[0, 1, 2, 3, 7]
[4, 5, 7, 8, 9]-[0, 1, 2, 3, 6]
[4, 6, 7, 8, 9]-[0, 1, 2, 3, 5]
[5, 6, 7, 8, 9]-[0, 1, 2, 3, 4]

min = 13485 : 26970 max=48651 : 97302