HDU_3278
尽管如果考虑有三种颜色的话状态数会很多,但如果一旦确定我们要将哪个颜色移到中间,其余的两个颜色就可以视作一种颜色,因此就可以先从终态开始bfs一遍,记录下结果,每次读一个图,就枚举三种颜色当作移到中间的颜色,然后O(1)查询步数即可。
#include<stdio.h> #include<string.h> #include<algorithm> #include<queue> #define HASH 1000007 #define MAXD 1000010 #define INF 0x3f3f3f3f struct Point { int st, d; Point(){} Point(int _st, int _d) : st(_st), d(_d){} }; struct HashMap { int head[HASH], size, next[MAXD], st[MAXD], d[MAXD]; void init() { memset(head, -1, sizeof(head)), size = 0; } int find(int state) { int i, h = state % HASH; for(i = head[h]; i != -1; i = next[i]) if(st[i] == state) return i; return -1; } void push(int state, int dis) { int i, h = state % HASH; st[size] = state, d[size] = dis; next[size] = head[h], head[h] = size ++; } }hm; char b[5][10]; int ANS, code[5][10]; void init() { int i, j; for(i = 0; i < 4; i ++) scanf("%s", b[i]); } int encode() { int i, j, ans = 0; for(i = 0; i < 4; i ++) for(j = 0; j < 6; j ++) ans = ans << 1 | code[i][j]; return ans; } void decode(int st) { int i, j; for(i = 3; i >= 0; i --) for(j = 5; j >= 0; j --) code[i][j] = st & 1, st >>= 1; } void shr(int r, int k) { int i; if(k == 0) for(i = 0; i < 5; i ++) std::swap(code[r][i], code[r][i + 1]); else for(i = 5; i >= 1; i --) std::swap(code[r][i], code[r][i - 1]); } void shc(int c, int k) { int i; if(k == 0) for(i = 0; i < 3; i ++) std::swap(code[i][c], code[i + 1][c]); else for(i = 3; i >= 1; i --) std::swap(code[i][c], code[i - 1][c]); } void prepare() { int i, j, c; std::queue <Point> q; hm.init(); memset(code, 0, sizeof(code)); for(i = 1; i <= 2; i ++) for(j = 1; j <= 4; j ++) code[i][j] = 1; c = encode(); q.push(Point(c, 0)), hm.push(c, 0); while(!q.empty()) { Point p = q.front(); q.pop(); decode(p.st); for(i = 0; i < 4; i ++) for(j = 0; j < 2; j ++) { shr(i, j), c = encode(); if(hm.find(c) == -1) q.push(Point(c, p.d + 1)), hm.push(c, p.d + 1); shr(i, j ^ 1); } for(i = 0; i < 6; i ++) for(j = 0; j < 2; j ++) { shc(i, j), c = encode(); if(hm.find(c) == -1) q.push(Point(c, p.d + 1)), hm.push(c, p.d + 1); shc(i, j ^ 1); } } } void deal(char ch) { int i, j, c; for(i = 0; i < 4; i ++) for(j = 0; j < 6; j ++) code[i][j] = b[i][j] == ch; c = encode(); i = hm.find(c); ANS = std::min(ANS, hm.d[i]); } void solve() { int i, j; ANS = INF; deal('B'), deal('W'), deal('G'); printf("%d\n", ANS); } int main() { int t, tt; prepare(); scanf("%d", &t); for(tt = 1; tt <= t; tt ++) { init(); printf("Case %d: ", tt); solve(); } return 0; }