GDD2011JP Sliding Puzzle

puzzle.in

72187 81749 72303 81778
5000
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4,4,=E4830DA9B7FC652
4,5,JA5=0=1=E7239BGF=IDC
5,6,238940=5AK1HBGJ6IEOCLMSPFQNDRT
3,6,57A614280D=3FG9ECH
5,5,==C04=39F87E5IAB=MJOGLNKD
6,5,28=MA471=H=5D==OT0JKLN6SPQ=GCI
3,5,5362791EB84DC0A
6,4,5A2BHI3JGFK61=L70C498DMN
5,4,=C3D5H4EI92G80J67AFB
5,6,===45I8KSAD=EB=G97PJH=6ONL0QRT
6,4,=5FN0=D7B=G=J42MHEK8LI39
4,6,12759A80E64BDF3NLICGMHKJ
3,5,895376410DBA2CE
4,5,2534098FCA7D1GH6IEBJ
5,3,629A5C0873B1=4E
4,6,71269354BE8=FGA0D==KHLMN
4,6,3E14528C=7BFHA6GIJKNMLD0
4,5,17932D54HIABJ0E8GCF6
6,6,713G9B284CA6==F5H=VJ==NOPQ===UKWXY0Z
6,4,1AHG35K4=E=6728DCIJF==N0
5,6,B2=94G6810L=J=7M=TF5INRKD=SOAP
5,6,12A086=453BD9==HQ=TORLMNJCG=PK
6,4,274AH618FC5GDK390BJLEMNI
5,3,C7EA034195B62D8
3,4,51=20789B46A
6,3,875AB03CE96G=24F1H
3,4,3960154=27AB
5,5,=235F67=09HC=AKBM=4JGL=EO
3,5,236B=804DC1AE97
4,4,=34B2C=FE0598D6A
6,3,25ABHC1GEF94D78306
6,4,==93A6708E5B4DFL=C==GMNI
5,6,1295A67380BCEF4GMD=KQHSLPRITNO
5,6,123456=89ABC0IDRHJNELGOSKMQTPF
4,5,15487C309HBA62IGDFEJ
4,5,=56324E8AJ7=HDB09IGF
6,4,734I==D192A=K8LGBM=F0EHN
4,5,25BG347D1680HACIJ9FE
3,4,A1093457862B
4,5,21835476=DABEHJGIF0C
6,4,=3429C8EFAI57G0BHNDJKLM6
5,4,=2D9==034EG78CAHB=FJ
4,6,B614527893A=D=M=I0LNKFHJ
4,4,310467B829EF=A5C
3,5,5604173DC98EA2B
4,5,96E405A732=8DI=C=1JG
4,5,64921D370HB85=JFIGCA
5,5,==359IG7J4C68AD0BLEMNKHOF
5,5,=43A568DFN279E0CJLIKBGMHO
5,3,3CBE48=A=60D521
5,4,B063517=2FG=ED9HIJA4
4,3,2A039B741586
5,5,B1289D6C5A07IOFHL3KJGME4N
6,4,318A462DJ5BHMKNL9GE0F7IC
5,6,2D345178AO6C9E0BIFKMRLTNSQGHPJ

puzzle_astar7.cc

// Copyright (c) 2011 Tatsuhiro Tsujikawa
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use, copy,
// modify, merge, publish, distribute, sublicense, and/or sell copies
// of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
// BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
// ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
// CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// Use g++ 4.6.1 to compile:
//
// $ g++ -Wall -O2 -std=c++0x puzzle_astar7.cc
//
// This program reads input from stdin and the answer will be written
// to stdout.  So run the program like this:
//
// $ ./a.out < puzzle.in > puzzle.out
//
// This program requires at least 3.5GB memory at some points, so make
// sure that you have enough available memory before execution.
//
// On my machine, Intel(R) Core(TM)2 Duo @ 3GHz, solves all 5000
// puzzles in 168m56s.
#include <sys/time.h>
#include <sys/mman.h>
#include <limits.h>
#include <cstring>
#include <cmath>
#include <limits>
#include <cassert>
#include <string>
#include <vector>
#include <deque>
#include <algorithm>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <queue>
#include <iterator>
#include <set>
#include <map>
#include <stack>
#include <fstream>
#include <unordered_map>
#include <unordered_set>
int INF = std::numeric_limits<int>::max();
const int dx[] = {1, 0, -1, 0};
const int dy[] = {0, 1,  0,-1};
const char dir[] = { 'D', 'R', 'U', 'L' };
// 0..34: tile
// 35: empty space, EMPTY
// 36: anonymous tile, ANON
// 37: wall, WALL
enum {
  EMPTY = 35,
  ANON = 36,
  WALL = 37
};
std::vector<char> goal;
double weight;
int W, H;
long long gethash(const std::vector<char>& v)
{
  if(v.empty()) {
    return 0;
  }
  long long value = v[0] << 7;
  for(size_t i = 0; i < v.size(); ++i) {
    value = (100003*value)^v[i];
  }
  return value;
}
struct Node {
  std::vector<char> s;
  int p;
  int gscore, hscore, fscore, offset;
  Node(const std::vector<char>& s, int p, int gscore, int hscore)
    : s(s),p(p),gscore(gscore),hscore(hscore)
  {
    fscore = gscore+weight*hscore;
  }
  bool operator>(const Node& node) const
  {
    return fscore > node.fscore ||
      (fscore == node.fscore && gscore < node.gscore);
  }
};
int ipow(int a, int b)
{
  if(b == 0) {
    return 1;
  }
  int r = a;
  for(int i = 1; i <= b-1; ++i) {
    r *= a;
  }
  return r;
}
char i2c(int i)
{
  ++i;
  if(i >= 10) {
    return i-10+'A';
  } else {
    return i+'0';
  }
}
int c2i(char c)
{
  if(c == '0') {
    return goal.size()-1;
  }
  if(c >= 'A') {
    c = c-'A'+10;
  } else {
    c -= '0';
  }
  --c;
  return c;
}
std::vector<char> s2v(const std::string& s)
{
  std::vector<char> v(s.size());
  for(size_t i = 0; i < s.size(); ++i) {
    if(s[i] == '=') {
      v[i] = WALL;
    } else if(s[i] == '0') {
      v[i] = EMPTY;
    } else if(s[i] == ' ') {
      v[i] = ANON;
    } else {
      v[i] = c2i(s[i]);
    }
  }
  return v;
}
std::string v2s(const std::vector<char>& v)
{
  std::string s(v.size(), ' ');
  for(size_t i = 0; i < v.size(); ++i) {
    if(v[i] == WALL) {
      s[i] = '=';
    } else if(v[i] == EMPTY) {
      s[i] = '0';
    } else if(v[i] == ANON) {
      s[i] = '#';
    } else {
      s[i] = i2c(v[i]);
    }
  }
  return s;
}
long long difftv(struct timeval tv1, struct timeval tv2) {
  if((tv1.tv_sec < tv2.tv_sec) ||
     ((tv1.tv_sec == tv2.tv_sec) && (tv1.tv_usec < tv2.tv_usec))) {
    return 0;
  }
  return ((long long)(tv1.tv_sec-tv2.tv_sec)*1000000+
          tv1.tv_usec-tv2.tv_usec);
}
std::vector<char> makegoal(const std::vector<char>& s)
{
  std::vector<char> g(s.size());
  for(size_t i = 0; i < s.size()-1; ++i) {
    if(s[i] == WALL) {
      g[i] = WALL;
    } else {
      g[i] = i;
    }
  }
  g[g.size()-1] = EMPTY;
  return g;
}
std::vector<std::vector<std::vector<int> > > partition;
size_t getpdbindex(int idx, int pidx, const std::vector<char>& s)
{
  size_t p = 0;
  for(size_t i = 0; i < partition[idx][pidx].size(); ++i) {
    p *= 36;
    p += std::distance(s.begin(),
                       std::find(s.begin(), s.end(), partition[idx][pidx][i]));
  }
  p = p*36+std::distance
    (s.begin(), std::find(s.begin(), s.end(), EMPTY));
  return p;
}
struct Pattern {
  unsigned char* pdb;
  unsigned char* used;
  size_t pdblen;
  size_t usedlen;
  std::queue<std::tuple<int, int, std::vector<char> > > q;
  Pattern():pdb(0), used(0), pdblen(0), usedlen(0) {}
  void init(size_t numtiles)
  {
    pdblen = ipow(36, numtiles+1);
    pdb =
      (unsigned char*)mmap(0, pdblen, PROT_READ|PROT_WRITE,
                           MAP_PRIVATE|MAP_ANON, -1, 0);
    if(pdb == (void*)-1) {
      perror("mmap pdb");
      exit(1);
    }
    usedlen = (pdblen+7)/8;
    used =
      (unsigned char*)mmap(0, usedlen, PROT_READ|PROT_WRITE,
                           MAP_PRIVATE|MAP_ANON, -1, 0);
    if(used == (void*)-1) {
      perror("mmap usedlen");
      exit(1);
    }
  }
  void release()
  {
    munmap(pdb, pdblen);
    munmap(used, usedlen);
  }
  bool getinuse(size_t key)
  {
    return used[key/8]&(1 << (key%8));
  }
  void setinuse(size_t key)
  {
    used[key/8] |= 1 << (key%8);
  }
};

std::vector<std::vector<Pattern> > subpdb;
void solvesubprob(int idx, int pidx, size_t target)
{
  Pattern& pat = subpdb[idx][pidx];
  while(!pat.q.empty()) {
    std::tuple<int, int, std::vector<char> > top = pat.q.front();
    pat.q.pop();
    int cost = std::get<0>(top);
    int p = std::get<1>(top);
    std::vector<char>& css = std::get<2>(top);
    int x = p/W;
    int y = p%W;
    for(int i = 0; i < 4; ++i) {
      int nx = x+dx[i];
      int ny = y+dy[i];
      int np = nx*W+ny;
      if(0 <= nx && nx < H && 0 <= ny && ny < W && css[np] != WALL) {
        int ncost = cost+(css[np] == ANON ? 0 : 1);
        std::swap(css[p], css[np]);
        size_t nkey = getpdbindex(idx, pidx, css);
        if(pat.getinuse(nkey)) {
          std::swap(css[p], css[np]);
          continue;
        }
        std::vector<char> nss(css);
        std::swap(css[p], css[np]);
        pat.setinuse(nkey);
        pat.pdb[nkey] = ncost;
        pat.q.push(std::make_tuple(ncost, np, nss));
      }
    }
    if(getpdbindex(idx, pidx, css) == target) {
      break;
    }
  }
}
int counttile(const std::vector<char>& s, int x0, int y0, int h, int w)
{
  int cnt = 0;
  for(int i = x0; i < x0+h; ++i) {
    for(int j = y0; j < y0+w; ++j) {
      int p = i*W+j;
      if(s[p] != WALL && s[p] != EMPTY) {
        ++cnt;
      }
    }
  }
  return cnt;
}
void makepartition_w(int idx, const std::vector<char>& s, int x0, int y0, int h, int w)
{
  if(h*w <= 3) {
    // make them in the same partition.
    std::vector<int> p;
    for(int i = 0; i < H; ++i) {
      for(int j = 0; j < W; ++j) {
        int u = i*W+j;
        if(x0 <= i && i < x0+h && y0 <= j && j < y0+w &&
           s[u] != WALL && s[u] != EMPTY) {
          p.push_back(u);
        }
      }
    }
    if(!p.empty()) {
      partition[idx].push_back(p);
    }
  } else {
    if(h > 1) {
      makepartition_w(idx, s, x0,   y0, 1,   w);
      makepartition_w(idx, s, x0+1, y0, h-1, w);
    } else if(w > 3) {
      makepartition_w(idx, s, x0,   y0,   h, 3);
      makepartition_w(idx, s, x0,   y0+3, h, w-3);
    }
  }
}
void makepartition_h(int idx, const std::vector<char>& s, int x0, int y0, int h, int w)
{
  if(h*w <= 3) {
    // make them in the same partition.
    std::vector<int> p;
    for(int i = 0; i < H; ++i) {
      for(int j = 0; j < W; ++j) {
        int u = i*W+j;
        if(x0 <= i && i < x0+h && y0 <= j && j < y0+w &&
           s[u] != WALL && s[u] != EMPTY) {
          p.push_back(u);
        }
      }
    }
    if(!p.empty()) {
      partition[idx].push_back(p);
    }
  } else {
    if(h > 3) {
      makepartition_h(idx, s, x0,   y0, 3,   w);
      makepartition_h(idx, s, x0+3, y0, h-3, w);
    } else if(w > 1) {
      makepartition_h(idx, s, x0,   y0,   h, 1);
      makepartition_h(idx, s, x0,   y0+1, h, w-1);
    }
  }
}
void makepartition_corn(int idx, const std::vector<char>& s, int x0, int y0, int h, int w)
{
  if(h*w <= 6) {
    // make them in the same partition.
    std::vector<int> p;
    for(int i = 0; i < H; ++i) {
      for(int j = 0; j < W; ++j) {
        int u = i*W+j;
        if(x0 <= i && i < x0+h && y0 <= j && j < y0+w &&
           s[u] != WALL && s[u] != EMPTY) {
          p.push_back(u);
        }
      }
    }
    if(!p.empty()) {
      partition[idx].push_back(std::vector<int>(p.begin(), p.begin()+p.size()/2));
      partition[idx].push_back(std::vector<int>(p.begin()+p.size()/2, p.end()));
    }
  } else {
    if(h > 3) {
      makepartition_corn(idx, s, x0,   y0, 3,   w);
      makepartition_corn(idx, s, x0+3, y0, h-3, w);
    } else if(w > 2) {
      makepartition_corn(idx, s, x0,   y0,   h, 2);
      makepartition_corn(idx, s, x0,   y0+2, h, w-2);
    }
  }
}
void makepartition_rnd(int idx, const std::vector<char>& s)
{
  int dx[] = {0, 1,  0, -1};
  int dy[] = {1, 0, -1,  0};
  std::vector<int> u(s.size());
  int x = 0;
  int y = 0;
  std::vector<int> p;
  int step = 0;
  if(s[0] != WALL) {
    p.push_back(0);
    u[0] = 1;
    ++step;
  }
  int d = 0;
  bool ok = true;
  while(ok) {
    ok = false;
    for(int i = 0; i < 4; ++i) {
      int nx = x+dx[(i+d)%4];
      int ny = y+dy[(i+d)%4];
      int np = nx*W+ny;
      if(0 <= nx && nx < H && 0 <= ny && ny < W && u[np] == 0) {
        ok = true;
        u[np] = 1;
        ++step;
        if(s[np] != WALL && s[np] != EMPTY) {
          p.push_back(np);
        }
        if(step%4 == 0) {
          if(!p.empty()) {
            partition[idx].push_back(p);
            p.clear();
          }
        }
        x = nx;
        y = ny;
        d = (i+d)%4;
        break;
      }
    }
  }
}
void makepartition_sq1(int idx, const std::vector<char>& s, int x0, int y0, int h, int w)
{
  int cnt = counttile(s, x0, y0, h, w);
  if(cnt <= 4) {
    // make them in the same partition.
    std::vector<int> p;
    for(int i = 0; i < H; ++i) {
      for(int j = 0; j < W; ++j) {
        int u = i*W+j;
        if(x0 <= i && i < x0+h && y0 <= j && j < y0+w &&
           s[u] != WALL && s[u] != EMPTY) {
          p.push_back(u);
        }
      }
    }
    if(!p.empty()) {
      partition[idx].push_back(p);
    }
  } else {
    if(h > 2) {
      makepartition_sq1(idx, s, x0,   y0, 2,   w);
      makepartition_sq1(idx, s, x0+2, y0, h-2, w);
    } else if(w > 2) {
      makepartition_sq1(idx, s, x0,   y0,   h, 2);
      makepartition_sq1(idx, s, x0,   y0+2, h, w-2);
    }
  }
}
void makepartition_sq2(int idx, const std::vector<char>& s, int x0, int y0, int h, int w)
{
  int cnt = counttile(s, x0, y0, h, w);
  if(cnt <= 8) {
    // make them in the same partition.
    std::vector<int> p;
    for(int i = 0; i < H; ++i) {
      for(int j = 0; j < W; ++j) {
        int u = i*W+j;
        if(x0 <= i && i < x0+h && y0 <= j && j < y0+w &&
           s[u] != WALL && s[u] != EMPTY) {
          p.push_back(u);
        }
      }
    }
    if(!p.empty()) {
      partition[idx].push_back(std::vector<int>(p.begin(), p.begin()+p.size()/2));
      if(p.size() > 1) {
        partition[idx].push_back(std::vector<int>(p.begin()+p.size()/2, p.end()));
      }
    }
  } else {
    if(w > 4) {
      makepartition_sq2(idx, s, x0,   y0,   h, 4);
      makepartition_sq2(idx, s, x0,   y0+4, h, w-4);
    } else if(h > 2) {
      makepartition_sq2(idx, s, x0,   y0, 2,   w);
      makepartition_sq2(idx, s, x0+2, y0, h-2, w);
    }
  }
}
int estimatehcost_subpdb(const std::vector<char>& s)
{
  int res = 0;
  for(size_t idx = 0; idx < subpdb.size(); ++idx) {
    int sum = 0;
    for(size_t pidx = 0; pidx < partition[idx].size(); ++pidx) {
      size_t key = getpdbindex(idx, pidx, s);
      if(!subpdb[idx][pidx].getinuse(key)) {
        std::cerr << "solving target " << key << std::endl;
        solvesubprob(idx, pidx, key);
      }
      sum += subpdb[idx][pidx].pdb[key];
    }
    res = std::max(res, sum);
  }
  return res;
}
int main()
{
  int LX, RX, UX, DX, N;
  std::cin >> LX >> RX >> UX >> DX >> N;
  std::vector<std::vector<char> > v(N);
  std::vector<int> WS(N);
  std::vector<int> HS(N);
  std::vector<std::string> answers(N);
  std::map<std::tuple<int, int, long long>, std::vector<int> > groups;
  for(int test = 0; test < N; ++test) {
    std::string s;
    std::cin >> s;
    for(std::string::iterator i = s.begin(); i != s.end(); ++i) {
      if(*i == ',') {
        *i = ' ';
      }
    }
    std::stringstream ss(s);
    int w, h;
    ss >> w >> h >> s;
    WS[test] = w;
    HS[test] = h;
    v[test] = s2v(s);
    groups[std::make_tuple(w, h, gethash(makegoal(v[test])))].push_back(test);
  }
  int scount = 0;
  int failcount = 0;
  for(int attempt = 0; attempt < 2; ++attempt) {
    failcount = 0;
    for(std::map<std::tuple<int, int, long long>,
                 std::vector<int> >::const_iterator gitr = groups.begin();
        gitr != groups.end(); ++gitr) {
      const std::vector<int>& tests = (*gitr).second;
      bool alldone = true;
      for(size_t i = 0; i < tests.size(); ++i) {
        if(answers[tests[i]].empty()) {
          alldone = false;
          break;
        }
      }
      if(alldone) {
        continue;
      }
      W = WS[tests[0]];
      H = HS[tests[0]];
      goal = makegoal(v[tests[0]]);
      size_t numdb;
      size_t maxinspection;
      int maxiter;
      if(attempt == 0) {
        numdb = 1;
        partition = std::vector<std::vector<std::vector<int> > >(numdb);
        makepartition_w(0, goal, 0, 0, H, W);
        maxinspection = 500000;
        maxiter = 1;
      } else {
        numdb = 2;
        partition = std::vector<std::vector<std::vector<int> > >(numdb);
        // makepartition_h(1, goal, 0, 0, H, W);
        // makepartition_corn(2, goal, 0, 0, H, W);
        //makepartition_rnd(0, goal);
        makepartition_sq1(0, goal, 0, 0, H, W);
        makepartition_sq2(1, goal, 0, 0, H, W);
        maxinspection = 10000000;
        maxiter = 6;
      }
      for(size_t idx = 0; idx < numdb; ++idx) {
        std::cerr << "db" << idx << std::endl;
        for(size_t pidx = 0; pidx < partition[idx].size(); ++pidx) {
          std::copy(partition[idx][pidx].begin(), partition[idx][pidx].end(),
                    std::ostream_iterator<int>(std::cerr, ","));
          std::cerr << std::endl;
        }
      }
      subpdb = std::vector<std::vector<Pattern> >(numdb);
      std::vector<char> tg(goal);
      for(size_t i = 0; i < tg.size()-1; ++i) {
        if(tg[i] != WALL) {
          tg[i] = ANON;
        }
      }
      for(size_t idx = 0; idx < numdb; ++idx) {
        subpdb[idx] = std::vector<Pattern>(partition[idx].size());
        for(size_t pidx = 0; pidx < partition[idx].size(); ++pidx) {
          std::vector<char> s(tg);
          for(size_t j = 0; j < partition[idx][pidx].size(); ++j) {
            int x = partition[idx][pidx][j];
            s[x] = x;
          }
          Pattern& pat = subpdb[idx][pidx];
          pat.init(partition[idx][pidx].size());
          pat.q.push(std::make_tuple(0, s.size()-1, s));
          size_t key = getpdbindex(idx, pidx, s);
          pat.pdb[key] = 0;
          pat.setinuse(key);
        }
      }
      for(std::vector<int>::const_iterator titr = tests.begin();
          titr != tests.end(); ++titr) {
        int test = *titr;
        if(!answers[test].empty()) {
          continue;
        }
        std::vector<char> s = v[test];
        bool solved = false;
        weight = 1.5;
        timeval starttime;
        gettimeofday(&starttime, 0);
        for(int iter = 0; iter < maxiter && !solved; ++iter) {
          int est = estimatehcost_subpdb(s);
          std::cerr << "test=" << test << ", " << W << "," << H << ","
                    << v2s(v[test])
                    << ", est=" <<  est
                    << ", weight=" << weight << std::endl;
          std::unordered_map<long long, int> gscore;
          std::unordered_map<long long, std::pair<long long, char> > parent;
          gscore[gethash(s)] = 0;
          std::priority_queue<Node, std::deque<Node>, std::greater<Node> > q;
          q.push(Node(s, std::distance(s.begin(), std::find(s.begin(), s.end(), EMPTY)), 0, est));
          while(!q.empty()) {
            Node top = q.top();
            q.pop();
            std::vector<char>& s = top.s;
            long long key = gethash(s);
            if(gscore[key] < top.gscore) {
              continue;
            }
            if(s == goal) {
              timeval endtime;
              gettimeofday(&endtime, 0);
              long long t = difftv(endtime, starttime)/1000;
              solved = true;
              ++scount;
              std::cerr << "OK:solved " << top.gscore << ","
                        << W << "," << H << "," << v2s(v[test]) << ","
                        << t << "msec" << std::endl;
              std::cerr << "q.size()=" << q.size()
                        << ", gscore.size()=" << gscore.size() << std::endl;
              std::string ans;
              std::unordered_map<long long,
                                 std::pair<long long, char> >::iterator iter;
              while((iter = parent.find(key)) != parent.end()) {
                const std::pair<long long, char>& p = (*iter).second;
                key = p.first;
                ans += p.second;
              }
              std::reverse(ans.begin(), ans.end());
              std::cerr << ans << std::endl;
              int uc = std::count(ans.begin(), ans.end(), 'U');
              int dc = std::count(ans.begin(), ans.end(), 'D');
              int lc = std::count(ans.begin(), ans.end(), 'L');
              int rc = std::count(ans.begin(), ans.end(), 'R');
              UX -= uc;
              DX -= dc;
              LX -= lc;
              RX -= rc;
              answers[test] = ans;
              break;
            }
            int p = top.p;
            int x = p/W;
            int y = p%W;
            for(int i = 0; i < 4; ++i) {
              int nx = x+dx[i];
              int ny = y+dy[i];
              int np = nx*W+ny;
              if(0 <= nx && nx < H && 0 <= ny && ny < W && s[np] != WALL) {
                std::swap(s[p], s[np]);
                long long nkey = gethash(s);
                int ngscore = top.gscore+1;
                if(gscore.count(nkey) == 0 || gscore[nkey] >  ngscore) {
                  gscore[nkey] = ngscore;
                  int nhscore = estimatehcost_subpdb(s);
                  Node node(s, np, ngscore, nhscore);
                  parent[nkey] = std::make_pair(key, dir[i]);
                  q.push(node);
                }
                std::swap(s[p], s[np]);
              }
            }
            if(q.size() > maxinspection) {
              if(!q.empty()) {
                std::cerr << "last state = " << q.top().gscore << ", "
                          << v2s(q.top().s) << std::endl;
              }
              weight *= 1.5;
              break;
            }
          }
        }
        if(!solved) {
          ++failcount;
        }
        std::cerr << "#" << attempt
                  << ", solved " << scount << ", failed " << failcount
                  << ", " << scount+failcount << "/" << N << ","
                  <<  RX << "+" << LX << "+" << UX << "+" << DX << "="
                  << RX+LX+UX+DX << std::endl;
      }
      for(size_t idx = 0; idx < numdb; ++idx) {
        for(size_t i = 0; i < partition[idx].size(); ++i) {
          subpdb[idx][i].release();
        }
      }
    }
  }
  std::cerr << "Result: solved " << scount << ", failed " << failcount
            << ", " << scount+failcount << "/" << N << ","
            <<  RX << "+" << LX << "+" << UX << "+" << DX << "="
            << RX+LX+UX+DX << std::endl;
  for(int i = 0; i < N; ++i) {
    std::cout << answers[i] << std::endl;
  }
}