bfs
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#include <iostream>
#include <cstdlib>
#include <cstring>
#include <cstdio>
using namespace std;
struct Edge
{
int v, next;
}edge[50];
struct Node
{
int f[7];
int s;
}q[1000000], node;
int head[10];
int ecount = 0;
bool vis[1000000];
int step[1000000];
void addedge(int a, int b)
{
edge[ecount].v = b;
edge[ecount].next = head[a];
head[a] = ecount++;
}
int hash(Node &a)
{
int x = 1;
int ret = 0;
for (int i = 0; i < 7; i++)
{
ret += a.f[i] * x;
x *= 7;
}
return ret;
}
void bfs()
{
int front = 0;
int rear = 1;
memset(vis, 0, sizeof(vis));
for (int i = 0; i < 7; i++)
q[0].f[i] = i;
int h = hash(q[0]);
step[h] = q[0].s = 0;
vis[h] = true;
while (front < rear)
{
int a;
for (int i = 0; i < 7; i++)
if (q[front].f[i] == 0)
{
a = i;
break;
}
for (int i = head[a]; i != -1; i = edge[i].next)
{
int b = edge[i].v;
swap(q[front].f[a], q[front].f[b]);
h = hash(q[front]);
if (!vis[h])
{
vis[h] = true;
q[rear] = q[front];
step[h] = q[rear++].s = q[front].s + 1;
}
swap(q[front].f[a], q[front].f[b]);
}
front++;
}
}
int main()
{
//freopen("t.txt", "r", stdin);
memset(head, -1, sizeof(head));
memset(step, -1, sizeof(step));
addedge(0, 2);
addedge(0, 4);
addedge(0, 6);
addedge(1, 6);
addedge(1, 2);
addedge(2, 1);
addedge(2, 0);
addedge(2, 3);
addedge(3, 2);
addedge(3, 4);
addedge(4, 3);
addedge(4, 0);
addedge(4, 5);
addedge(5, 4);
addedge(5, 6);
addedge(6, 1);
addedge(6, 0);
addedge(6, 5);
bfs();
int t;
scanf("%d", &t);
getchar();
while (t--)
{
for (int i = 0; i < 7; i++)
{
char ch = getchar();
node.f[i] = ch - '0';
}
getchar();
printf("%d\n", step[hash(node)]);
}
return 0;
}