题目传送门

题意:一个图按照变成指定的图,问最少操作步数

分析;状态转移简单,主要是在图的存储以及判重问题,原来队列里装二维数组内存也可以,判重用神奇的hash技术

#include <bits/stdc++.h>
using namespace std; const int MOD = 1e6 + 7;
struct Point {
int ch[5][9];
int x[4], y[4];
int step;
};
bool vis[MOD];
int ha; int get_hash(int c[5][9]) {
int tmp[60], k = 0;
for (int i=1; i<=4; ++i) {
for (int j=2; j<=8; ++j) {
tmp[k++] = c[i][j] % 10;
tmp[k++] = c[i][j] / 10;
}
}
int ret = 0;
for (int i=0; i<k; ++i) {
ret = (ret * 7 % MOD + tmp[i]) % MOD;
}
ret = (ret & 0x7fffffff) % MOD;
return ret;
} int init(void) {
int res[5][9];
int x[4] = {11, 21, 31, 41};
for (int i=0; i<4; ++i) {
for (int j=1; j<=7; ++j) {
res[i+1][j] = x[i]++;
}
res[i+1][8] = 0;
}
return get_hash (res);
} void change(Point &v, int x0, int y0, int k) {
int a = v.ch[x0][y0-1] + 1;
for (int i=1; i<=4; ++i) {
for (int j=2; j<=8; ++j) {
if (v.ch[i][j] == a) {
v.x[k] = i; v.y[k] = j;
swap (v.ch[x0][y0], v.ch[i][j]);
return ;
}
}
}
} int BFS(Point &p) {
memset (vis, false, sizeof (vis));
int sh = get_hash (p.ch);
vis[sh] = true;
queue<Point> que; que.push (p);
while (!que.empty ()) {
Point u = que.front (); que.pop ();
int uh = get_hash (u.ch);
if (uh == ha) {
return u.step;
}
for (int i=0; i<4; ++i) {
int x = u.x[i], y = u.y[i];
if (y == 1 || u.ch[x][y] % 10 == 7) continue;
Point v = u;
change (v, x, y, i);
int vh = get_hash (v.ch);
if (vis[vh]) continue;
vis[vh] = true; v.step++;
que.push (v);
}
} return -1;
} int main(void) {
ha = init ();
int T; scanf ("%d", &T);
while (T--) {
Point p; p.step = 0;
for (int i=1; i<=4; ++i) {
p.ch[i][1] = 0;
}
for (int i=1; i<=4; ++i) {
for (int j=2; j<=8; ++j) {
scanf ("%d", &p.ch[i][j]);
}
}
for (int i=1; i<=4; ++i) {
for (int j=2; j<=8; ++j) {
if (p.ch[i][j] == 11) {
swap (p.ch[1][1], p.ch[i][j]);
p.x[0] = i; p.y[0] = j;
}
else if (p.ch[i][j] == 21) {
swap (p.ch[2][1], p.ch[i][j]);
p.x[1] = i; p.y[1] = j;
}
else if (p.ch[i][j] == 31) {
swap (p.ch[3][1], p.ch[i][j]);
p.x[2] = i; p.y[2] = j;
}
else if (p.ch[i][j] == 41) {
swap (p.ch[4][1], p.ch[i][j]);
p.x[3] = i; p.y[3] = j;
}
}
}
int ans = BFS (p);
printf ("%d\n", ans);
} return 0;
}

  

05-11 18:15