流程图 有何问题?? (50分)

  • 主题发起人 主题发起人 lhj100
  • 开始时间 开始时间
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lhj100

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题目:有3个分别能装a升,b升,c升的量筒(a与b互质,c>b>a>0)现c筒装满了水,
问能否在c筒中得到 d升的水(c>d>0).
编一程序,实现上述要求,约定:水在各筒之间倒出倒去时没有任何损失.
例如:若a =3,b =7,c =10,要求在c筒中量得 5升的水,可按下述的方法执行
将c筒的水倒满a筒后 a:3 b:0 c;7
a b a:0 b:3 c:7
c a a:3 b:3 c:4
a b a:0 b:6 c:4
c a a:3 b:6 c:1
a b a:2 b:7 c:1
将b筒的水倒满c筒后 a:2 b:0 c:8
a b a:0 b:2 c:8
c a a:3 b:2 c:5

--

1. Cylinder.h:

#ifndef Cylinder_h
#define Cylinder_h

class Cylinder {
private:
int cubage

int reserves

public:
Cylinder(int v){
cubage = v

reserves = 0

}


Cylinder(int c, int r){
cubage = c

reserves = r

}


Cylinder(const Cylinder&amp
src){
cubage = src.cubage

reserves = src.reserves

}


bool canPourInto(const Cylinder&amp
dest){
if(!(this->isEmpty()) &&amp
!(dest.isFull())){
return true

} else
return false

}

void pourInto(Cylinder&amp
dest){
if(dest.getSpare() >= this->reserves){
dest.reserves += this->reserves

this->reserves =0

} else {
this->reserves -= dest.getSpare()

dest.reserves = dest.cubage

}
}


int getReserves() const{
return reserves

}


int getCubage() const{
return cubage

}


int getSpare() const {
return (cubage - reserves)

}


bool isEmpty() const {
return (reserves==0)

}


bool isFull() const{
return (cubage==reserves)

}


}

#endif

2. WaterProblem.h
#ifndef WaterProblem_h
#define WaterProblem_h

#include <vcl.h>
#include "Cylinder.h"

class OneState{
public:
Cylinder ca, cb, cc

OneState* parentState

AnsiString action

bool expanded


OneState(const Cylinder&amp
a, const Cylinder&amp
b, const Cylinder&amp
c):
ca(a), cb(b), cc(c){
parentState = NULL

expanded = false

}


bool isExpanded(){
return expanded

}
void setExpanded(){
expanded = true

}

AnsiString toString(){
return "Action: "+action+"/t-->/t a="+ca.getReserves()+";b="+
cb.getReserves()+";c="+cc.getReserves()

}

bool equals(const OneState&amp
dest){
return (ca.getReserves() == dest.ca.getReserves()
&amp;&amp
cc.getReserves() == dest.cc.getReserves()
&amp;&amp
cc.getReserves() == dest.cc.getReserves())

}

bool existsIn(TList* container){
for(int i=0
i<container->Count
i++){
OneState* cur = (OneState*)(container->Items)

if(this->equals(*cur)){
return true

}
}
return false

}

TList* getChildrenStates(){
TList* resultList = new TList()

OneState* aChild


if(ca.canPourInto(cb)){
aChild = new OneState(ca, cb, cc)

aChild->ca.pourInto(aChild->cb)

aChild->parentState = this

aChild->action = "a to b"

resultList->Add(aChild)

}

if(ca.canPourInto(cc)){
aChild = new OneState(ca, cb, cc)

aChild->ca.pourInto(aChild->cc)

aChild->parentState = this

aChild->action = "a to c"

resultList->Add(aChild)

}
if(cb.canPourInto(ca)){
aChild = new OneState(ca, cb, cc)

aChild->cb.pourInto(aChild->ca)

aChild->parentState = this

aChild->action = "b to a"

resultList->Add(aChild)

}
if(cb.canPourInto(cc)){
aChild = new OneState(ca, cb, cc)

aChild->cb.pourInto(aChild->cc)

aChild->parentState = this

aChild->action = "b to c"

resultList->Add(aChild)

}
if(cc.canPourInto(ca)){
aChild = new OneState(ca, cb, cc)

aChild->cc.pourInto(aChild->ca)

aChild->parentState = this

aChild->action = "c to a"

resultList->Add(aChild)

}
if(cc.canPourInto(cb)){
aChild = new OneState(ca, cb, cc)

aChild->cc.pourInto(aChild->cb)

aChild->parentState = this

aChild->action = "c to b"

resultList->Add(aChild)

}
return resultList

}

}



class WaterProblem {
private:
Cylinder *a, *b, *c

int d

TStringList *resultStringList

TList *stateContainer


int MaxCommonDivisor(int i1, int i2){
int big, small

if(i1 > i2){
big = i1

small = i2

} else if(i2 > i1){
big = i2

small = i1

} else
return i1

if(big % small ==0)
return small

if(big-small == 1)
return 1

else {
return MaxCommonDivisor(small, big % small)

}
}


public:
WaterProblem(int va, int vb, int vc, int initD){
resultStringList = new TStringList()

stateContainer = new TList()

a = new Cylinder(va)

b = new Cylinder(vb)

c = new Cylinder(vc, vc)

d = initD

}


~WaterProblem(){
delete resultStringList

for(int i=0
i<stateContainer->Count
i++){
delete stateContainer->Items

}
delete stateContainer

}


bool checkStartState(){
return (c->getCubage()>b->getCubage() &amp;&amp
b->getCubage()>a->getCuubage() &amp;&amp

a->getCubage()>0 &amp;&amp
c->getCubage()>d &amp;&amp
d>0 &amp;&amp

(MaxCommonDivisor(a->getCubage(), b->getCubage())==1))

}


bool isEndState(OneState&amp
state){
return (state.cc.getReserves() == d)

}


void solv(){
OneState startState(*a, *b, *c)

bool solved = false

if(isEndState(startState)){
resultStringList->Add(startState.toString())

return

}
stateContainer->Clear()

stateContainer->Add(&amp;startState)

while(!solved){
if(stateContainer->Count==0){
resultStringList->Add("无解!")

return

}
OneState *lastState = (OneState*)(stateContainer->Last())

if(lastState->isExpanded()){
stateContainer->Remove(lastState)

continue

}
lastState->setExpanded()

TList *children = lastState->getChildrenStates()

for(int i=0
i<children->Count
i++){
OneState *child = (OneState*)(children->Items)

if(isEndState(*child)){
solved = true

OneState* pTemp = child

while(pTemp->parentState != NULL){
resultStringList->Insert(0, pTemp->toString())

pTemp = pTemp->parentState

}
return

} else {
if(!child->existsIn(stateContainer))
stateContainer->Add(child)

}
}
}
}


TStringList&amp
getResultStringList(){
return (*resultStringList)

}


}


#endif

3. main.cpp

...
void __fastcall TForm1::Button1Click(TObject *Sender)
{
WaterProblem problem(3, 7, 10, 5)

if(problem.checkStartState()){
problem.solv()

TStringList&amp
result = problem.getResultStringList()

ShowMessage(result.Text)

} else {
ShowMessage("参数不对")

}

 
这样问实在让人受不了
 

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