三只大老虎和三只小老虎过河

本文探讨了一个逻辑谜题——三只大老虎和三只小老虎如何安全过河。每只大老虎都有一个对应的小老虎,若小老虎没有其母亲陪同,可能会被其他大老虎吃掉。文章通过编写Java程序来寻找最少步骤数的解决方案。

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三只大老虎和三只小老虎过河
三只大老虎分别是A.B.C三只小老虎分别是1.2.3,只有一条船,一次只能坐两只,A和1是母子俩,B和2是母子俩,C和3母子俩,只要任何一个母亲离开小老虎,小老虎都会被吃掉.
问题补充:大老虎都会划船 三只小老虎中只有1会划船
设大老虎为ABC,相应的小老虎为abc,其中c会划船。

package test;

import java.util.HashMap;
import java.util.List;
import java.util.Map;

public class TigerRiver {
public static int[]tigersteps=new int[27*27*3] ;
public static Map<Integer,Status> map = new HashMap<Integer,Status>();
int i=0;
public TigerRiver() {
Status status = new Status(2, 2, 2, 2, 2, 2,false);
for(int i=0;i<tigersteps.length;i++){
tigersteps[i]=-1;
}
map.put(status.hashCode(), status);
tigersteps[status.hashCode()]=0;
}

public int minStep(Status status) throws IllegalArgumentException, IllegalAccessException {
int hascode=status.hashCode();
int minstep = tigersteps[hascode];
if (minstep != -1)
return minstep;
minstep = Integer.MAX_VALUE;
map.put(hascode, status);
List<Status> steps = status.getAllStep();
for (Status status2 : steps) {
int temhascode=status2.hashCode();
if(tigersteps[temhascode]==-1 && map.get(temhascode)!=null)continue;
int temstep = minStep(status2);
if (temstep < minstep-1) {
minstep = temstep+1;
status.setNextStatus(map.get(temhascode));
}
}
tigersteps[hascode]=minstep;
return minstep;
}
public static void print(Status status){
System.out.println(status);
while (status.getNextStatus()!=null) {
status=status.getNextStatus();
System.out.println(status);
}
}
public static void main(String[] args) {
Status status = new Status(0, 0, 0, 0, 0, 0,true);
TigerRiver tigerRiver=new TigerRiver();
try {
System.out.println("steps:"+tigerRiver.minStep(status));
} catch (IllegalArgumentException e) {
e.printStackTrace();
} catch (IllegalAccessException e) {
e.printStackTrace();
}
print(status);
}
}

package test;

import java.lang.reflect.Field;
import java.util.ArrayList;
import java.util.List;

import org.apache.poi.hssf.record.ContinueRecord;

public class Status {
public int A;
public int a;
public int B;
public int b;
public int C;
public int c;
private boolean left;
private Status nextStatus;

public Status(int big1, int small1, int big2, int small2, int big3,
int small3, boolean left) {
super();
this.A = big1;
this.a = small1;
this.B = big2;
this.b = small2;
this.C = big3;
this.c = small3;
this.left = left;
}

public Status(Status status) {
super();
this.A = status.A;
this.a = status.a;
this.B = status.B;
this.b = status.b;
this.C = status.C;
this.c = status.c;
this.left = status.left;
}

public List<Status> getAllStep() throws IllegalArgumentException,
IllegalAccessException {
List<Status> steps = new ArrayList<Status>();

if (left) {
List<Status> atob = getOneStepTrigers(0, 1);
for (Status status : atob) {
if (status.check())
steps.add(status);

}
List<Status> btoa = getOneStepTrigers(1, 0);
for (Status status : btoa) {
if (status.check())
steps.add(status);

}
if(getCount(0)>=2){
List<Status> atwob = getTwoStepTrigers(0, 1);
for (Status status : atwob) {
if (status.check())
steps.add(status);

}
}
if(getCount(1)>=2){
List<Status> btwoa = getTwoStepTrigers(1, 0);
for (Status status : btwoa) {
if (status.check())
steps.add(status);

}
}
} else {
List<Status> ctob = getOneStepTrigers(2, 1);
for (Status status : ctob) {
if (status.check())
steps.add(status);

}
List<Status> btoc = getOneStepTrigers(1, 2);
for (Status status : btoc) {
if (status.check())
steps.add(status);

}
if(getCount(2)>=2){
List<Status> ctwob = getTwoStepTrigers(2, 1);
for (Status status : ctwob) {
if (status.check())
steps.add(status);

}
}
if(getCount(1)>=2){
List<Status> btwoc = getTwoStepTrigers(1, 2);
for (Status status : btwoc) {
if (status.check())
steps.add(status);

}
}
}

if (A == 1 || B == 1 || C == 1 || c == 1) {
Status status = new Status(this);
status.left = !left;
steps.add(status);
}
return steps;
}

public boolean check() {
if (A < 0 || B < 0 || C < 0 || a < 0 || b < 0 || c < 0)
return false;
if (a == 0 && A != 0 || b == 0 && B != 0 || c == 0 && C != 0) {
if (A == 0 || B == 0 || C == 0) {
return false;
}
}
if (getCount(1) > 2)
return false;
if (a == 1 && A != 1 || b == 1 && B != 1 || c == 1 && C != 1) {
if (A == 1 || B == 1 || C == 1) {
return false;
}
}
if (a == 2 && A != 2 || b == 2 && B != 2 || c == 2 && C != 2) {
if (A == 2 || B == 2 || C == 2) {
return false;
}
}
return true;
}

private List<Field> getTrigers(int point) throws IllegalArgumentException,
IllegalAccessException {
List<Field> trigers = new ArrayList<Field>();
Field[] fields = this.getClass().getFields();
for (Field field : fields) {
if (((Integer) field.get(this)).intValue() == point) {
trigers.add(field);
}
}
return trigers;
}

private List<Status> getOneStepTrigers(int from, int to)
throws IllegalArgumentException, IllegalAccessException {
List<Status> trigers = new ArrayList<Status>();
List<Field> fList = getTrigers(from);
for (Field field : fList) {
Status status = new Status(this);
field.set(status, to);
trigers.add(status);
}
return trigers;
}

private List<Status> getTwoStepTrigers(int from, int to)
throws IllegalArgumentException, IllegalAccessException {
List<Status> trigers = new ArrayList<Status>();
List<Field> fList = getTrigers(from);
for (int i = 0; i < fList.size() - 1; i++) {
for (int j = i + 1; j < fList.size(); j++) {
Field fielda = fList.get(i);
Field fieldb = fList.get(j);
Status status = new Status(this);
fielda.set(status, to);
fieldb.set(status, to);
trigers.add(status);
}
}
return trigers;
}

private int getCount(int point) {
int count = 0;
if (A == point)
count++;
if (B == point)
count++;
if (C == point)
count++;
if (a == point)
count++;
if (b == point)
count++;
if (c == point)
count++;
return count;
}

@Override
public String toString() {
StringBuffer sb = new StringBuffer();
if (A == 0)
sb.append("A");
if (B == 0)
sb.append("B");
if (C == 0)
sb.append("C");
if (a == 0)
sb.append("a");
if (b == 0)
sb.append("b");
if (c == 0)
sb.append("c");
for (int i = getCount(0); i < 6; i++) {
sb.append(" ");
}
sb.append(" | ");
if (!left) {
sb.append(" ");
}
if (A == 1)
sb.append("A");
if (B == 1)
sb.append("B");
if (C == 1)
sb.append("C");
if (a == 1)
sb.append("a");
if (b == 1)
sb.append("b");
if (c == 1)
sb.append("c");
for (int i = getCount(1); i < 2; i++) {
sb.append(" ");
}
if (left) {
sb.append(" ");
}
sb.append(" | ");
if (A == 2)
sb.append("A");
if (B == 2)
sb.append("B");
if (C == 2)
sb.append("C");
if (a == 2)
sb.append("a");
if (b == 2)
sb.append("b");
if (c == 2)
sb.append("c");
for (int i = getCount(0); i < 6; i++) {
sb.append(" ");
}
return sb.toString();
}

public Status getNextStatus() {
return nextStatus;
}

public void setNextStatus(Status nextStatus) {
this.nextStatus = nextStatus;
}

@Override
public int hashCode() {
int prime = 1;
int result = 0;
result += prime * A;
prime *= 3;
result += prime * a;
prime *= 3;
result += prime * B;
prime *= 3;
result += prime * b;
prime *= 3;
if (left) {
result += prime * 1;
} else {
result += prime * 2;
}
prime *= 3;
result += prime * C;
prime *= 3;
result += prime * c;
return result;
}

@Override
public boolean equals(Object obj) {
if (this == obj)
return true;
if (obj == null)
return false;
if (getClass() != obj.getClass())
return false;
Status other = (Status) obj;
if (A != other.A)
return false;
if (B != other.B)
return false;
if (C != other.C)
return false;
if (left != other.left)
return false;
if (nextStatus == null) {
if (other.nextStatus != null)
return false;
} else if (!nextStatus.equals(other.nextStatus))
return false;
if (a != other.a)
return false;
if (b != other.b)
return false;
if (c != other.c)
return false;
return true;
}


}
steps:27
ABCabc | |
ABab | Cc |
ABab | Cc |
ABab | C | c
ABab | C | c
ABCab | | c
ACa | Bb | c
ACa | Bb | c
ACa | B | bc
ACa | B | bc
Aa | BC | bc
Aa | BC | bc
Aa | | BCbc
Aa | Bb | Cc
Aa | Bb | Cc
ABab | | Cc
ab | AB | Cc
ab | AB | Cc
ab | A | BCc
ab | A | BCc
b | Aa | BCc
b | Aa | BCc
b | | ABCac
b | B | ACac
b | B | ACac
| Bb | ACac
| Bb | ACac
| | ABCabc
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