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  • 汉诺塔 从某个状态移动到另外一个状态

    汉诺塔的变形题目:

    现在有多个柱子,柱子上有若干盘子,盘子的摆放要求编号小的盘子一定在编号大的盘子的上面。初始时,若干个盘子分散在这些柱子上,要求实现一个算法,将盘子移动到其他柱子上。

    这个题目其实并不是很难,但是一定要分析清楚和能够熟练使用递归算法。

    #include <iostream>
    #include <list>
    #include <stack>
    #include <algorithm>

    using namespace std;

    class HanoiWithStatus
    {
    public:
            HanoiWithStatus(int n)
            {
                    m_pegs = n;
                    InitialPegStatus = new list<int>[n];
                    FinalPegStatus = new list<int>[n];
            }
            void Rearrange();
            void MoveToFinal();
            void MoveToContainer(int i);
            void Move();
            list<int>* InitialPegStatus;
            list<int>* FinalPegStatus;
            void move(int i, int src, int dest, int buffer);
            void MoveOnePlateToTarget(int  plate);
    private:
            int m_pegs;
            int m_plates;
    };

    void HanoiWithStatus::Rearrange()
    {
            m_plates = 0;
            for(int i=0;i<m_pegs;i++)
                    m_plates +=InitialPegStatus[i].size();
            for (int i= 0 ;i<m_plates;i++)
            {
                    cout<<"Arranging "<<i<<endl;
                    MoveToContainer(i);
            }

            for (int i= 0 ;i<m_pegs;i++)
                    cout<<InitialPegStatus[i].size()<<endl;
    }
    void HanoiWithStatus::move(int i, int src, int dest, int buffer)
    {
            if(i>=0)
            {
                    move(i-1, src, buffer, dest);
                    InitialPegStatus[src].remove(i);
                    InitialPegStatus[dest].push_front(i);
                    cout<<"Move "<<i<<" from "<<src<<" to "<<dest<<endl;
                    move(i-1, buffer, dest, src);
            }
    }
    void HanoiWithStatus::MoveToContainer(int plate)
    {
            int owningIndex = -1, containingIndex = -1;
            int bufferIndex = -1;
            for(int i= 0;i<m_pegs;i++)
            {
                    list<int>::iterator itr = find(InitialPegStatus[i].begin(), InitialPegStatus[i].end(), plate);
                    if(itr == InitialPegStatus[i].end())
                            continue;
                    else{
                            owningIndex = i;
                            break;
                    }
            }
            if(owningIndex >= 0)
            {
                    for(int i= 0;i<m_pegs;i++)
                    {
                            list<int>::iterator itr = find(InitialPegStatus[i].begin(), InitialPegStatus[i].end(), plate+1);
                            if(itr == InitialPegStatus[i].end())
                                    continue;
                            else{
                                    containingIndex = i;
                                    break;
                            }
                    }
                    for(int i = 0;i<m_pegs;i++)
                            if(i != owningIndex && i != containingIndex)
                            {
                                    bufferIndex = i;
                                    break;
                            }
                    if(containingIndex>=0 && owningIndex != containingIndex)
                            move(plate, owningIndex, containingIndex, bufferIndex);
            }
    }
    void HanoiWithStatus::MoveToFinal()
    {
            int maxPlate = -1;
            for(int i= 0 ;i<m_pegs;i++)
            {
                    if(InitialPegStatus[i].size()>0)
                    {
                            maxPlate = InitialPegStatus[i].back();
                            break;
                    }
            }
            for(int i = maxPlate;i>=0;i--)
            {
                    cout<<"Moving "<<i<<endl;
                    MoveOnePlateToTarget(i);
            }
    }
    void HanoiWithStatus::MoveOnePlateToTarget(int  plate)
    {
            int owningIndex = -1, finalIndex = -1;
            int bufferIndex = -1;
            for(int i= 0;i<m_pegs;i++)
            {
                    list<int>::iterator itr = find(InitialPegStatus[i].begin(), InitialPegStatus[i].end(), plate);
                    if(itr == InitialPegStatus[i].end())
                            continue;
                    else
                    {
                            owningIndex = i;
                            break;
                    }
            }
            if(owningIndex >= 0)
            {
                    for(int i= 0;i<m_pegs;i++)
                    {
                            list<int>::iterator itr = find(FinalPegStatus[i].begin(), FinalPegStatus[i].end(), plate);
                            if(itr == FinalPegStatus[i].end())
                                    continue;
                            else
                            {
                                    finalIndex = i;
                                    break;
                            }
                    }
                    for(int i = 0;i<m_pegs;i++)
                    {
                            list<int>::iterator itr = InitialPegStatus[i].begin();
                            if(itr == InitialPegStatus[i].end() || *itr >plate)
                            {
                                    bufferIndex = i;
                                    break;
                            }
                    }
                    if(finalIndex>=0 && owningIndex != finalIndex)
                            move(plate, owningIndex, finalIndex, bufferIndex);
            }
    }

    void HanoiWithStatus::Move()
    {
            Rearrange();
            MoveToFinal();
    }

    int main(int argc,char **argv)
    {
            HanoiWithStatus* hanoi = new HanoiWithStatus(4);
            hanoi->InitialPegStatus[0].push_front(6);
            hanoi->InitialPegStatus[0].push_front(5);
            hanoi->InitialPegStatus[1].push_front(3);
            hanoi->InitialPegStatus[2].push_front(4);
            hanoi->InitialPegStatus[3].push_front(2);
            hanoi->InitialPegStatus[3].push_front(1);
            hanoi->InitialPegStatus[3].push_front(0);
            hanoi->FinalPegStatus[3].push_front(6);
            hanoi->FinalPegStatus[3].push_front(5);
            hanoi->FinalPegStatus[3].push_front(4);
            hanoi->FinalPegStatus[3].push_front(3);
            hanoi->FinalPegStatus[3].push_front(2);
            hanoi->FinalPegStatus[3].push_front(1);
            hanoi->FinalPegStatus[3].push_front(0);

            hanoi->Move();
    }
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  • 原文地址:https://www.cnblogs.com/whyandinside/p/2657496.html
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