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紫书p199 八数码(BFS,hash)

2017-07-19 17:24 344 查看
八数码问题 紫书上的简单搜索 渣渣好久才弄懂

#include<cstdio>
#include<cstring>
using namespace std;
const int M = 1000003;
int x[4] = { -1, 1, 0, 0}, y[4] = {0, 0, -1, 1};
int dis[M], h[M], s[M][9], e[9];

int aton(int a[])
{
int t = 0;
for(int i = 0; i < 9; ++i)
t = t * 10 + a[i];
return t;
}

int search_hash(int a[])
{
int t = aton(a), p = t % M;
while(h[p])
{
if(h[p] == t) return p;
++p;
if(p >= M) p = 0;
}
return p;
}

int bfs()
{
memset(h, 0, sizeof(h));
int fro = 1, rear = 2, r, c, k = 0, p;
int t[9], tmp, cur, nr, nc, nk;

while(fro < rear)
{
memcpy(t, s[fro], sizeof(t));
cur = search_hash(t);
if(memcmp(t, e, sizeof(t)) == 0) return dis[cur];
for(k = 0; t[k];) ++k;
r = k / 3, c = k % 3;
for(int i = 0; i < 4; ++i)
{
memcpy(t, s[fro], sizeof(t));
nr = r + x[i], nc = c + y[i], nk = nr * 3 + nc;
if(nr < 0 || nr > 2 || nc < 0 || nc > 2) continue;
tmp = t[nk];
t[nk] = 0;
t[k] = tmp;
p = search_hash(t);
if(h[p] == 0)
{
h[p] = aton(t);
dis[p] = dis[cur] + 1;
memcpy(s[rear], t, sizeof(t));
++rear;
}
}
++fro;
}
return -1;
}

int main()
{
while(~scanf("%d", &s[1][0]))
{
memset(dis, 0, sizeof(dis));
for(int i = 1; i < 9; ++i)
scanf("%d", &s[1][i]);
for(int i = 0; i < 9; ++i)
scanf("%d", &e[i]);
h[aton(s[1]) % M] = aton(s[1]);
int ans = bfs();
if(ans != -1)
printf("%d\n", ans);
else  printf("No solution\n");
}
return 0;
}
/*
2 6 4 1 3 7 0 5 8
8 1 5 7 3 6 4 0 2
2 3 4 1 5 0 7 6 8
1 2 3 4 5 6 7 8 0
*/
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