倒油瓶问题(平分水问题)(bfs)
#include<iostream>
#include<stdio.h>
#include<string.h>
#include<queue>
using
namespace
std;
int
vist[105][105][105],a,b,c;
struct
node
{
int
a,b,c;
int
step;
}s[105];
int
sum=0;
void
bfs()
{
queue<node>q;
memset
(vist,0,
sizeof
(vist));
node p1;
p1.a=a;
p1.b=0;
p1.c=0;
p1.step=0;
q.push(p1);
vist[p1.a][0][0]=1;
while
(!q.empty())
{
p1=q.front();
q.pop();
if
((p1.a==a/2&&p1.b==a/2)||(p1.a==a/2&&p1.c==a/2)||(p1.b==a/2&&p1.c==a/2))
{
printf
(
"%d\n"
,p1.step);
return
;
}
node p2;
if
(p1.a!=0)
{
if
(p1.a>b-p1.b)
{
p2.a=p1.a-(b-p1.b);
p2.b=b;
p2.c=p1.c;
p2.step=p1.step+1;
}
else
{
p2.a=0;
p2.b=p1.b+p1.a;
p2.c=p1.c;
p2.step=p1.step+1;
}
if
(!vist[p2.a][p2.b][p2.c])
{
vist[p2.a][p2.b][p2.c]=1;
q.push(p2);
}
}
if
(p1.a!=0)
{
if
(p1.a>c-p1.c)
{
p2.a=p1.a-(c-p1.c);
p2.b=p1.b;
p2.c=c;
p2.step=p1.step+1;
}
else
{
p2.a=0;
p2.b=p1.b;
p2.c=p1.c+p1.a;
p2.step=p1.step+1;
}
if
(!vist[p2.a][p2.b][p2.c])
{
vist[p2.a][p2.b][p2.c]=1;
q.push(p2);
}
}
if
(p1.b!=0)
{
if
(p1.b>a-p1.a)
{
p2.b=p1.b-(a-p1.a);
p2.a=a;
p2.c=p1.c;
p2.step=p1.step+1;
}
else
{
p2.b=0;
p2.a=p1.a+p1.b;
p2.c=p1.c;
p2.step=p1.step+1;
}
if
(!vist[p2.a][p2.b][p2.c])
{
vist[p2.a][p2.b][p2.c]=1;
q.push(p2);
}
}
if
(p1.b!=0)
{
if
(p1.b>c-p1.c)
{
p2.b=p1.b-(c-p1.c);
p2.a=p1.a;
p2.c=c;
p2.step=p1.step+1;
}
else
{
p2.b=0;
p2.a=p1.a;
p2.c=p1.c+p1.b;
p2.step=p1.step+1;
}
if
(!vist[p2.a][p2.b][p2.c])
{
vist[p2.a][p2.b][p2.c]=1;
q.push(p2);
}
}
if
(p1.c!=0)
{
if
(p1.c>a-p1.a)
{
p2.c=p1.c-(a-p1.a);
p2.a=a;
p2.b=p1.b;
p2.step=p1.step+1;
}
else
{
p2.c=0;
p2.a=p1.a+p1.c;
p2.b=p1.b;
p2.step=p1.step+1;
}
if
(!vist[p2.a][p2.b][p2.c])
{
vist[p2.a][p2.b][p2.c]=1;
q.push(p2);
}
}
if
(p1.c!=0)
{
if
(p1.c>b-p1.b)
{
p2.c=p1.c-(b-p1.b);
p2.a=p1.a;
p2.b=b;
p2.step=p1.step+1;
}
else
{
p2.c=0;
p2.a=p1.a;
p2.b=p1.b+p1.c;
p2.step=p1.step+1;
}
if
(!vist[p2.a][p2.b][p2.c])
{
vist[p2.a][p2.b][p2.c]=1;
q.push(p2);
}
}
}
printf
(
"NO\n"
);
}
int
main()
{
while
(
scanf
(
"%d%d%d"
,&a,&b,&c)>0&&(a+b+c))
{
if
(a%2==1)
{
printf
(
"NO\n"
);
continue
;
}
bfs();
}
return
0;
}