結果

問題 No.5006 Hidden Maze
ユーザー どらら
提出日時 2022-06-12 17:02:04
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 175 ms / 2,000 ms
コード長 4,476 bytes
コンパイル時間 3,649 ms
実行使用メモリ 22,816 KB
スコア 88,265
平均クエリ数 118.35
最終ジャッジ日時 2022-06-12 17:02:16
合計ジャッジ時間 11,812 ms
ジャッジサーバーID
（参考情報） 		judge10 / judge14
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ファイルパターン 結果
other AC * 100
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: 関数 ‘int inv_k(int)’ 内:
main.cpp:81:1: 警告: 制御が非 void 関数の終りに到達しました [-Wreturn-type]
   81 | }
      | ^

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define rep(i,n) REP(i,0,n)
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it)
#define ALLOF(c) (c).begin(), (c).end()
typedef long long ll;
typedef unsigned long long ull;
//using mint = modint1000000007;
//using mint = modint998244353;
uint32_t xor128() {
  static uint32_t x = 123456789, y = 362436069, z = 521288629, w = 88675123;
  uint32_t t;
  t = (x ^ (x << 11));
  x = y;
  y = z;
  z = w;
  return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
}
inline float frand() {
  return xor128() % UINT32_MAX / static_cast<float>(UINT32_MAX);
}
struct P {
  int y, x;
  double p;
};
bool operator<(const P& a, const P& b){
  return a.p < b.p;
}
int H, W;
int step;
const int MAX_STEP = 1000;
double fail_prob;
const string angle = "UDLR";
int get_angle(char c){
  if(c == 'U') return 0;
  if(c == 'D') return 1;
  if(c == 'L') return 2;
  if(c == 'R') return 3;
  assert(false);
}
int vy[4] = {-1,1,0,0};
int vx[4] = {0,0,-1,1};
double get_noise(){
  double rate = step / (double)MAX_STEP;
  double start_base = 1e-9;
  double end_base = 0.998;
  double base = start_base + (end_base - start_base) * rate;
  return base * frand();
}
struct Wall {
  int pass;
  int stop;
  Wall():pass(0),stop(0){}
  double get_prob(){
    if(pass > 0) return 1.0 - get_noise();
    else return max(1e-100, 0.9 * pow(0.5, stop) - get_noise());
  }
  void count_pass(){ pass++; }
  void count_stop(){ stop++; }
};
Wall wall_right[25][25];
Wall wall_down[25][25];
int inv_k(int k){
  assert(0<=k && k<=3);
  if(k == 0) return 1;
  if(k == 1) return 0;
  if(k == 2) return 3;
  if(k == 3) return 2;
}
// 移動可能確率
double get_prob(int y, int x, int k){
  int ny = y + vy[k];
  int nx = x + vx[k];
  if(ny<0 || H<=ny || nx<0 || W<=nx) return 1e-100;
  if(k == 0) return wall_down[ny][nx].get_prob();
  if(k == 1) return wall_down[y][x].get_prob();
  if(k == 2) return wall_right[ny][nx].get_prob();
  if(k == 3) return wall_right[y][x].get_prob();
  assert(false);
}
void update_pass(int y, int x, int k){
  int ny = y + vy[k];
  int nx = x + vx[k];
  if(ny<0 || H<=ny || nx<0 || W<=nx) return;
  if(k == 0) wall_down[ny][nx].count_pass();
  if(k == 1) wall_down[y][x].count_pass();
  if(k == 2) wall_right[ny][nx].count_pass();
  if(k == 3) wall_right[y][x].count_pass();
}
void update_stop(int y, int x, int k){
  int ny = y + vy[k];
  int nx = x + vx[k];
  if(ny<0 || H<=ny || nx<0 || W<=nx) return;
  if(k == 0) wall_down[ny][nx].count_stop();
  if(k == 1) wall_down[y][x].count_stop();
  if(k == 2) wall_right[ny][nx].count_stop();
  if(k == 3) wall_right[y][x].count_stop();
}
double calc_fail_p(int c){
  double ret = 0;
  rep(i,c){
    ret += log(1.0 - fail_prob);
  }
  ret += log(fail_prob);
  return exp(ret);
}
void dump(){
  rep(i,H){
    rep(j,W){
      cout << "(" << wall_down[i][j].get_prob() << "," << wall_right[i][j].get_prob() << ") ";
    }
    cout << endl;
  }
}
string get_answer(){
  vector<vector<double>> dp(H, vector<double>(W, -1e100));
  vector<vector<int>> prev(H, vector<int>(W, -1));
  priority_queue<P> que;
  que.push((P){0,0,0.0});
  dp[0][0] = 0.0;
  while(!que.empty()){
    P p = que.top(); que.pop();    
    if(dp[p.y][p.x] > p.p) continue;
    rep(k,4){
      int ny = p.y + vy[k];
      int nx = p.x + vx[k];
      if(ny<0 || H<=ny || nx<0 || W<=nx) continue;
      double logprob = log(get_prob(p.y,p.x,k));
      if(dp[ny][nx] < dp[p.y][p.x] + logprob){
        dp[ny][nx] = dp[p.y][p.x] + logprob;
        prev[ny][nx] = inv_k(k);
        que.push((P){ny,nx,dp[ny][nx]});
      }
    }
  }
  int y = H-1, x = W-1;
  string ret;
  while(!(y == 0 && x == 0)){
    int k = prev[y][x];
    ret += angle[inv_k(k)];
    y = y + vy[k];
    x = x + vx[k];
  }
  reverse(ALLOF(ret));
  return ret;
};
void update(const string& ans, int fail){
  int y = 0, x = 0;
  rep(i,fail){
    int k = get_angle(ans[i]);
    update_pass(y, x, k);
    y = y + vy[k];
    x = x + vx[k];
  }
  int k = get_angle(ans[fail]);
  update_stop(y, x, k);
}
int main(){
  double fp;
  cin >> H >> W >> fp;
  fail_prob = fp / 100.0;
  step = 0;
  while(true){
    string ans = get_answer();
    cout << ans << endl;
    int ret;
    cin >> ret;
    //cerr << step << "\t" << ret << "\t" << ans << endl;
    if(ret == -1) break;
    update(ans, ret);
    step++;
  }
  
  return 0;
}
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