状态压缩+双向BFS。。。
我压了一个下午!!!!!!
呜呜。。><。。。
双向BFS理解的不好,我弄俩队列同时搜。。我错了。。。其实刚开始就想到了,这么搜万一有一个走6步,一个走2步,挺纠结的是把。
后来一直过不去,才知道。。。双BFS可以保存一个BFS的结果,然后第二个搜第一个的解。。。好神奇。。
我用了64位去压缩状态,其实感觉蛮鸡肋的,下午用了一下午的8位数,可能因为双BFS写得不好,一直TLE。。。
俩BFS结果都存,最后扫也可以,充分体现了,如果存一个,另一个去找,用引用,引用真的快了很多,如果没用引用,POJ的数据我都过不去。。囧。。
用八位数压缩的也过了~~在POJ比64位的跑得快。。。比在ZOJ的64位慢。。。囧。。
64bit:
#include <set> #include <map> #include <queue> #include <stack> #include <math.h> #include <stdio.h> #include <stdlib.h> #include <limits.h> #include <string.h> #include <string> #include <algorithm> #include <iostream> #define MID(x,y) ( ( x + y ) >> 1 ) #define L(x) ( x << 1 ) #define R(x) ( x << 1 | 1 ) #define FOR(i,s,t) for(int i=(s); i<(t); i++) #define BUG puts("here!!!") #define STOP system("pause") #define file_r(x) freopen(x, "r", stdin) #define file_w(x) freopen(x, "w", stdout) using namespace std; typedef long long LL; void pro(LL &st) { int x, y; scanf("%d%d", &x, &y); x--; y--; int p = x * 8 + y; st |= (1ll << p); } queue< pair<LL,int> > q; set<LL> sets, sett; set<LL>::iterator it; int dir[9] = {1,0, -1,0, 0,1, 0,-1}; bool Bin(LL st, int t, set<LL> &s, set<LL> &ss, bool f) { bool a[100][100]; int p[5][5], cnt = 0; memset(a, false, sizeof(a)); FOR(i, 0, 64) if( st & (1ll << i) ) { int x = i/8; int y = i%8; a[x][y] = true; p[cnt][0] = x; p[cnt++][1] = y; } FOR(i, 0, cnt) { LL tmp = st; tmp ^= (1ll << (p[i][0]*8 + p[i][1])); LL la = tmp; for(int k=0; k<8; k+=2) { tmp = la; int x = p[i][0] + dir[k]; int y = p[i][1] + dir[k+1]; if( x >= 0 && x < 8 && y >= 0 && y < 8 ) if( !a[x][y] ) { tmp ^= (1ll << (x * 8 + y)); if( !s.count(tmp) ) { if( f && ss.count(tmp) ) return true; q.push(make_pair(tmp, t)); s.insert(tmp); } } else { x += dir[k]; y += dir[k+1]; if( x >= 0 && x < 8 && y >= 0 && y < 8 && !a[x][y] ) { tmp ^= (1ll << (x * 8 + y)); if( !s.count(tmp) ) { if( f && ss.count(tmp) ) return true; q.push(make_pair(tmp, t)); s.insert(tmp); } } } } } return false; } bool BFS(LL st, set<LL> &s, set<LL> &ss, bool f) { s.clear(); while( !q.empty() ) q.pop(); s.insert(st); q.push(make_pair(st, 0)); while( !q.empty() ) { if( q.front().second < 4 ) { bool ans = Bin(q.front().first, q.front().second + 1, s, ss, f); if( ans ) return true; } else return false; q.pop(); } return false; } bool solve(LL st, LL tt) { BFS(st, sets, sett, false); return BFS(tt, sett, sets, true); } int main() { LL st, tt; int x, y; while( ~scanf("%d%d", &x, &y) ) { st = tt = 0; x--; y--; int p = x * 8 + y; st |= (1ll << p); FOR(i, 0, 3) pro( st ); FOR(i, 0, 4) pro( tt ); bool ans = solve(st, tt); puts(ans ? "YES" : "NO"); } return 0; }
8位数:
#include <set> #include <map> #include <queue> #include <stack> #include <math.h> #include <stdio.h> #include <stdlib.h> #include <limits.h> #include <string.h> #include <string> #include <algorithm> #include <iostream> #define MID(x,y) ( ( x + y ) >> 1 ) #define L(x) ( x << 1 ) #define R(x) ( x << 1 | 1 ) #define FOR(i,s,t) for(int i=(s); i<(t); i++) #define BUG puts("here!!!") #define STOP system("pause") #define file_r(x) freopen(x, "r", stdin) #define file_w(x) freopen(x, "w", stdout) using namespace std; typedef pair<int,int> pii; typedef set<int> mpp; int p[5]; void pro(int i) { int x, y; scanf("%d%d", &x, &y); p[i] = x*10 + y; } queue<pii> q; mpp sets, sett; bool cmp(int a,int b) { return a < b; } int ST(int *tmp) { int st = 0; int p[5]; memcpy(p, tmp, sizeof(int)*5); sort(p, p+4); FOR(i, 0, 4) { st *= 100; st += p[i]; } return st; } int dir[4] = {1, -1, 10, -10}; bool AI(int st, int t, mpp &s, mpp &ss, bool f) { if( !s.count(st) ) { if( f && ss.count(st) ) return true; q.push(make_pair(st, t)); s.insert(st); } return false; } bool Bin(int st, int t, mpp &s, mpp &ss, bool f) { bool a[100]; memset(a, false, sizeof(a)); FOR(i, 0, 4) { int x = st % 100; st /= 100; a[x] = true; p[i] = x; } int tmp[5]; memcpy(tmp, p, sizeof(p)); FOR(i, 0, 4) { int x = p[i]; FOR(k, 0, 4) { int xx = x + dir[k]; int aa = xx / 10; int bb = xx % 10; if( aa >= 1 && aa <= 8 && bb >= 1 && bb <= 8 ) if( !a[xx] ) { tmp[i] = xx; int la = ST( tmp ); bool res = AI( la, t+1, s, ss, f); if( res ) return true; } else { xx += dir[k]; aa = xx / 10; bb = xx % 10; if( aa <= 8 && aa >= 1 && bb <= 8 && bb >= 1 && !a[xx] ) { tmp[i] = xx; int la = ST( tmp ); bool res = AI( la, t+1, s, ss, f ); if( res ) return true; } } } tmp[i] = p[i]; } return false; } bool BFS(int st, mpp &s, mpp &ss, bool f) { s.clear(); while( !q.empty() ) q.pop(); s.insert(st); q.push(make_pair(st, 0)); while( !q.empty() ) { if( q.front().second < 4 ) { bool ans = Bin(q.front().first, q.front().second, s, ss, f); if( ans ) return true; } q.pop(); } return false; } bool solve(int st, int tt) { if( st == tt ) return true; BFS(st, sets, sett, false); return BFS(tt, sett, sets, true); } int main() { int st, tt; int x, y; while( ~scanf("%d%d", &x, &y) ) { p[0] = x * 10 + y; FOR(i, 1, 4) pro( i ); st = ST( p ); FOR(i, 0, 4) pro( i ); tt = ST( p ); bool ans = solve(st, tt); puts(ans ? "YES" : "NO"); } return 0; }