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poj 3414 Pots 搜尋

6
FILL(2)
POUR(2,1)
DROP(1)
POUR(2,1)
FILL(2)

POUR(2,1)

題意:給出三個數,如n,m,s,其中n,m,分別為兩個杯子的體積,開始杯子都為空,可以自由接水倒水,問這兩個杯子需要幾次操作可以使任意一個杯子中的水體積為s,輸出次數和操作方法,如果杯子中水體積達不到s,輸出impossible,總操作方法分為三種,FILL(a),將a杯子裝滿水,DROP(a),將a杯子水清空,POUR(a,b)將a杯子的水倒入b杯,倒滿就停止

#include<stdio.h>
#include<string.h>
#include<algorithm>
#include<map>
#include<queue>
#include<string>
#include<iostream>
using namespace std;

int n,m,s;
int flag;
struct p
{
    int x;
    int y;
    string str;
    friend bool operator<(p x,p y)
    {
        if(x.x==y.x)
            return x.y<y.y;
        return x.x<y.x;
    }
} tmp,now;

map<p,p>map1; //map一方面記錄路徑;一方面做標記,避免在佇列中重複插入
void bfs()
{
    queue<p>Q;
    now.x=now.y=0;
    now.str="";
    tmp=now;
    map1[now]=tmp;
    Q.push(now);
    while(!Q.empty())
    {
        now=Q.front();
        Q.pop();
        if(now.x==s||now.y==s)
        {
            flag=1;
            return;
        }
        tmp.x=n;
        tmp.y=now.y;
        tmp.str="FILL(1)";
        if(map1.find(tmp)==map1.end())
        {
            Q.push(tmp);
            map1[tmp]=now;
        }

        tmp.x=now.x;
        tmp.y=m;
        tmp.str="FILL(2)";
        if(map1.find(tmp)==map1.end())
        {
            Q.push(tmp);
            map1[tmp]=now;
        }

        tmp.x=0;
        tmp.y=now.y;
        tmp.str="DROP(1)";
        if(map1.find(tmp)==map1.end())
        {
            Q.push(tmp);
            map1[tmp]=now;
        }

        tmp.x=now.x;
        tmp.y=0;
        tmp.str="DROP(2)";
        if(map1.find(tmp)==map1.end())
        {
            Q.push(tmp);
            map1[tmp]=now;
        }

        if(now.y>n-now.x)
        {
            tmp.x=n;
            tmp.y=now.y-(n-now.x);
        }
        else
        {
            tmp.x=now.y+now.x;
            tmp.y=0;
        }
        tmp.str="POUR(2,1)";
        if(map1.find(tmp)==map1.end())
        {
            Q.push(tmp);
            map1[tmp]=now;
        }

        if(now.x>m-now.y)
        {
            tmp.x=now.x-(m-now.y);
            tmp.y=m;
        }
        else
        {
            tmp.y=now.y+now.x;
            tmp.x=0;
        }
        tmp.str="POUR(1,2)";
        if(map1.find(tmp)==map1.end())
        {
            Q.push(tmp);
            map1[tmp]=now;
        }

    }
    return;
}
int main()
{
    while(~scanf("%d%d%d",&n,&m,&s))
    {
        flag=0;
        int sum=0;
        string ss="";
        bfs();
        if(flag==0)
            printf("impossible\n");
        else
        {
            for( tmp=now; tmp.x!=0||tmp.y!=0; tmp=map1[tmp])
            {
                ss=tmp.str+"\n"+ss;
                sum++;
            }
            printf("%d\n",sum);
            cout<<ss;
        }
    }
    return 0;
}