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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#278889#7751. Palindrome PathmaspyTL 690ms6768kbC++2014.8kb2023-12-07 22:15:242023-12-07 22:15:24

Judging History

你现在查看的是最新测评结果

  • [2023-12-07 22:15:24]
  • 评测
  • 测评结果:TL
  • 用时:690ms
  • 内存:6768kb
  • [2023-12-07 22:15:24]
  • 提交

answer

#line 1 "library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;
using f128 = __float128;

template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'000'000'000;
template <>
constexpr ll infty<ll> = ll(infty<int>) * infty<int> * 2;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * infty<ll>;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;

using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;

#define vv(type, name, h, ...) \
  vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...)   \
  vector<vector<vector<type>>> name( \
      h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...)       \
  vector<vector<vector<vector<type>>>> name( \
      a, vector<vector<vector<type>>>(       \
             b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))

// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)

#define FOR_subset(t, s) \
  for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if

#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second

#define stoi stoll

int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
int popcnt_mod_2(int x) { return __builtin_parity(x); }
int popcnt_mod_2(u32 x) { return __builtin_parity(x); }
int popcnt_mod_2(ll x) { return __builtin_parityll(x); }
int popcnt_mod_2(u64 x) { return __builtin_parityll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
T floor(T a, T b) {
  return a / b - (a % b && (a ^ b) < 0);
}
template <typename T>
T ceil(T x, T y) {
  return floor(x + y - 1, y);
}
template <typename T>
T bmod(T x, T y) {
  return x - y * floor(x, y);
}
template <typename T>
pair<T, T> divmod(T x, T y) {
  T q = floor(x, y);
  return {q, x - q * y};
}

template <typename T, typename U>
T SUM(const vector<U> &A) {
  T sm = 0;
  for (auto &&a: A) sm += a;
  return sm;
}

#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) \
  sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()

template <typename T>
T POP(deque<T> &que) {
  T a = que.front();
  que.pop_front();
  return a;
}
template <typename T>
T POP(pq<T> &que) {
  T a = que.top();
  que.pop();
  return a;
}
template <typename T>
T POP(pqg<T> &que) {
  T a = que.top();
  que.pop();
  return a;
}
template <typename T>
T POP(vc<T> &que) {
  T a = que.back();
  que.pop_back();
  return a;
}

template <typename F>
ll binary_search(F check, ll ok, ll ng, bool check_ok = true) {
  if (check_ok) assert(check(ok));
  while (abs(ok - ng) > 1) {
    auto x = (ng + ok) / 2;
    (check(x) ? ok : ng) = x;
  }
  return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
  FOR(iter) {
    double x = (ok + ng) / 2;
    (check(x) ? ok : ng) = x;
  }
  return (ok + ng) / 2;
}

template <class T, class S>
inline bool chmax(T &a, const S &b) {
  return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
  return (a > b ? a = b, 1 : 0);
}

// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
  vc<int> A(S.size());
  FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
  return A;
}

template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
  int N = A.size();
  vector<T> B(N + 1);
  FOR(i, N) { B[i + 1] = B[i] + A[i]; }
  if (off == 0) B.erase(B.begin());
  return B;
}

// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
  vector<int> ids(len(A));
  iota(all(ids), 0);
  sort(all(ids),
       [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
  return ids;
}

// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
  vc<T> B(len(I));
  FOR(i, len(I)) B[i] = A[I[i]];
  return B;
}
#endif
#line 1 "library/other/io.hpp"
#define FASTIO
#include <unistd.h>

// https://judge.yosupo.jp/submission/21623
namespace fastio {
static constexpr uint32_t SZ = 1 << 17;
char ibuf[SZ];
char obuf[SZ];
char out[100];
// pointer of ibuf, obuf
uint32_t pil = 0, pir = 0, por = 0;

struct Pre {
  char num[10000][4];
  constexpr Pre() : num() {
    for (int i = 0; i < 10000; i++) {
      int n = i;
      for (int j = 3; j >= 0; j--) {
        num[i][j] = n % 10 | '0';
        n /= 10;
      }
    }
  }
} constexpr pre;

inline void load() {
  memcpy(ibuf, ibuf + pil, pir - pil);
  pir = pir - pil + fread(ibuf + pir - pil, 1, SZ - pir + pil, stdin);
  pil = 0;
  if (pir < SZ) ibuf[pir++] = '\n';
}

inline void flush() {
  fwrite(obuf, 1, por, stdout);
  por = 0;
}

void rd(char &c) {
  do {
    if (pil + 1 > pir) load();
    c = ibuf[pil++];
  } while (isspace(c));
}

void rd(string &x) {
  x.clear();
  char c;
  do {
    if (pil + 1 > pir) load();
    c = ibuf[pil++];
  } while (isspace(c));
  do {
    x += c;
    if (pil == pir) load();
    c = ibuf[pil++];
  } while (!isspace(c));
}

template <typename T>
void rd_real(T &x) {
  string s;
  rd(s);
  x = stod(s);
}

template <typename T>
void rd_integer(T &x) {
  if (pil + 100 > pir) load();
  char c;
  do
    c = ibuf[pil++];
  while (c < '-');
  bool minus = 0;
  if constexpr (is_signed<T>::value || is_same_v<T, i128>) {
    if (c == '-') { minus = 1, c = ibuf[pil++]; }
  }
  x = 0;
  while ('0' <= c) { x = x * 10 + (c & 15), c = ibuf[pil++]; }
  if constexpr (is_signed<T>::value || is_same_v<T, i128>) {
    if (minus) x = -x;
  }
}

void rd(int &x) { rd_integer(x); }
void rd(ll &x) { rd_integer(x); }
void rd(i128 &x) { rd_integer(x); }
void rd(u32 &x) { rd_integer(x); }
void rd(u64 &x) { rd_integer(x); }
void rd(u128 &x) { rd_integer(x); }
void rd(double &x) { rd_real(x); }
void rd(long double &x) { rd_real(x); }
void rd(f128 &x) { rd_real(x); }

template <class T, class U>
void rd(pair<T, U> &p) {
  return rd(p.first), rd(p.second);
}
template <size_t N = 0, typename T>
void rd_tuple(T &t) {
  if constexpr (N < std::tuple_size<T>::value) {
    auto &x = std::get<N>(t);
    rd(x);
    rd_tuple<N + 1>(t);
  }
}
template <class... T>
void rd(tuple<T...> &tpl) {
  rd_tuple(tpl);
}

template <size_t N = 0, typename T>
void rd(array<T, N> &x) {
  for (auto &d: x) rd(d);
}
template <class T>
void rd(vc<T> &x) {
  for (auto &d: x) rd(d);
}

void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
  rd(h), read(t...);
}

void wt(const char c) {
  if (por == SZ) flush();
  obuf[por++] = c;
}
void wt(const string s) {
  for (char c: s) wt(c);
}
void wt(const char *s) {
  size_t len = strlen(s);
  for (size_t i = 0; i < len; i++) wt(s[i]);
}

template <typename T>
void wt_integer(T x) {
  if (por > SZ - 100) flush();
  if (x < 0) { obuf[por++] = '-', x = -x; }
  int outi;
  for (outi = 96; x >= 10000; outi -= 4) {
    memcpy(out + outi, pre.num[x % 10000], 4);
    x /= 10000;
  }
  if (x >= 1000) {
    memcpy(obuf + por, pre.num[x], 4);
    por += 4;
  } else if (x >= 100) {
    memcpy(obuf + por, pre.num[x] + 1, 3);
    por += 3;
  } else if (x >= 10) {
    int q = (x * 103) >> 10;
    obuf[por] = q | '0';
    obuf[por + 1] = (x - q * 10) | '0';
    por += 2;
  } else
    obuf[por++] = x | '0';
  memcpy(obuf + por, out + outi + 4, 96 - outi);
  por += 96 - outi;
}

template <typename T>
void wt_real(T x) {
  ostringstream oss;
  oss << fixed << setprecision(15) << double(x);
  string s = oss.str();
  wt(s);
}

void wt(int x) { wt_integer(x); }
void wt(ll x) { wt_integer(x); }
void wt(i128 x) { wt_integer(x); }
void wt(u32 x) { wt_integer(x); }
void wt(u64 x) { wt_integer(x); }
void wt(u128 x) { wt_integer(x); }
void wt(double x) { wt_real(x); }
void wt(long double x) { wt_real(x); }
void wt(f128 x) { wt_real(x); }

template <class T, class U>
void wt(const pair<T, U> val) {
  wt(val.first);
  wt(' ');
  wt(val.second);
}
template <size_t N = 0, typename T>
void wt_tuple(const T t) {
  if constexpr (N < std::tuple_size<T>::value) {
    if constexpr (N > 0) { wt(' '); }
    const auto x = std::get<N>(t);
    wt(x);
    wt_tuple<N + 1>(t);
  }
}
template <class... T>
void wt(tuple<T...> tpl) {
  wt_tuple(tpl);
}
template <class T, size_t S>
void wt(const array<T, S> val) {
  auto n = val.size();
  for (size_t i = 0; i < n; i++) {
    if (i) wt(' ');
    wt(val[i]);
  }
}
template <class T>
void wt(const vector<T> val) {
  auto n = val.size();
  for (size_t i = 0; i < n; i++) {
    if (i) wt(' ');
    wt(val[i]);
  }
}

void print() { wt('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
  wt(head);
  if (sizeof...(Tail)) wt(' ');
  print(forward<Tail>(tail)...);
}

// gcc expansion. called automaticall after main.
void __attribute__((destructor)) _d() { flush(); }
} // namespace fastio
using fastio::read;
using fastio::print;
using fastio::flush;

#define INT(...)   \
  int __VA_ARGS__; \
  read(__VA_ARGS__)
#define LL(...)   \
  ll __VA_ARGS__; \
  read(__VA_ARGS__)
#define U32(...)   \
  u32 __VA_ARGS__; \
  read(__VA_ARGS__)
#define U64(...)   \
  u64 __VA_ARGS__; \
  read(__VA_ARGS__)
#define STR(...)      \
  string __VA_ARGS__; \
  read(__VA_ARGS__)
#define CHAR(...)   \
  char __VA_ARGS__; \
  read(__VA_ARGS__)
#define DBL(...)      \
  double __VA_ARGS__; \
  read(__VA_ARGS__)

#define VEC(type, name, size) \
  vector<type> name(size);    \
  read(name)
#define VV(type, name, h, w)                     \
  vector<vector<type>> name(h, vector<type>(w)); \
  read(name)

void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 3 "main.cpp"

#line 2 "library/random/base.hpp"

u64 RNG_64() {
  static uint64_t x_
      = uint64_t(chrono::duration_cast<chrono::nanoseconds>(
                     chrono::high_resolution_clock::now().time_since_epoch())
                     .count())
        * 10150724397891781847ULL;
  x_ ^= x_ << 7;
  return x_ ^= x_ >> 9;
}

u64 RNG(u64 lim) { return RNG_64() % lim; }

ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }
#line 5 "main.cpp"

void solve() {
  LL(H, W);
  VEC(string, dat, H);
  LL(sx, sy, tx, ty);
  --sx, --sy, --tx, --ty;

  auto isin = [&](int x, int y) -> bool {
    return (0 <= x && x < H && 0 <= y && y < W && dat[x][y] == '1');
  };
  int dx[] = {1, 0, -1, 0, 1, 1, -1, -1};
  int dy[] = {0, 1, 0, -1, 1, -1, 1, -1};
  string DIR = "DRUL";

  auto tour = [&](ll x, ll y) -> string {
    vv(int, vis, H, W);
    string ans;
    auto dfs = [&](auto& dfs, int x, int y) -> void {
      vis[x][y] = 1;
      FOR(d, 4) {
        int nx = x + dx[d], ny = y + dy[d];
        if (!isin(nx, ny) || vis[nx][ny]) continue;
        ans += DIR[d];
        dfs(dfs, nx, ny);
        ans += DIR[d ^ 2];
      }
    };
    dfs(dfs, x, y);
    return ans;
  };
  auto step = [&](ll x, ll y, char ch) -> pi {
    ll k = DIR.find(ch);
    ll nx = x + dx[k], ny = y + dy[k];
    if (!isin(nx, ny)) return {x, y};
    return {nx, ny};
  };
  auto path = [&](ll a, ll b, ll c, ll d) -> string {
    if (a == c && b == d) return "";
    auto s = tour(a, b);
    string ans;
    for (auto& ch: ans) {
      tie(a, b) = step(a, b, ch);
      ans += ch;
      if (a == c && b == d) return ans;
    }
    return "";
  };
  auto simu = [&](ll a, ll b, string S) -> tuple<vvc<int>, ll, ll> {
    vv(int, vis, H, W);
    vis[a][b] = 1;
    for (auto& ch: S) {
      tie(a, b) = step(a, b, ch);
      vis[a][b] = 1;
    }
    return {vis, a, b};
  };

  {
    auto S = tour(sx, sy);
    auto vis = get<0>(simu(sx, sy, S));
    FOR(x, H) FOR(y, W) {
      if (dat[x][y] == '1' && !vis[x][y]) return print(-1);
    }
  }

  while (1) {
    string D;
    FOR(450'000) {
      int k = RNG(0, 4);
      D += DIR[k];
    }
    auto [vis1, a, b] = simu(sx, sy, D);
    D += path(a, b, tx, ty);
    string A = D;
    reverse(all(A));
    auto [vis2, c, d] = simu(sx, sy, A);
    string B = tour(c, d);
    string C = B;
    reverse(all(C));
    string S = A + B + C + D;
    auto [vis, xx, yy] = simu(sx, sy, S);
    if (xx != tx || yy != ty) continue;
    return print(S);
  }
}

signed main() {
  solve();
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 72ms
memory: 6648kb

input:

2 2
11
11
1 1 2 2

output:

DURLLUULUDRDRRRRRLRUURRDDRRLLLUURUULDLDLDLDRRLLLLLDRDRDLRUDRRLLDRUDLDRUUUDLURUDULRRRLURLRLLLLLURULUDLLDLRUULRDUDLULDLDDDUURDRDRUUULRLRUULDRLRRRLULRDUDLLURLLDRULUDDLLRLRRDLLRDLRDRRRUDDRUDDRLUDRLULDUULUUDDURLRDULUUUURLURULLUDRUDLLLRRRUUUDURDUDUDLLDDLLLUDDLUURURRLUDRULRULUUULDLRRDUDURLRLUURRRULURLDDLDL...

result:

ok Valid Solution (Length = 900012).

Test #2:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

2 2
10
01
1 1 2 2

output:

-1

result:

ok No Solution.

Test #3:

score: 0
Accepted
time: 22ms
memory: 6768kb

input:

1 1
1
1 1 1 1

output:

LRRLLLLRLDLRUDLLRULUULDRLURLUDDRRULRUULUULLDDURDUDLRLURDRRUUULDDRRDUURDLRURLDUDRRDLLRUDLDRLRUDDRDDLURLUUDUDUDRRRRUDLUUUULDURLLRDULDRRDRDLDUDDULLRDRUDDLULDUUURUDUDDUDULLUDLDRLUDULDRULURDLLLLURRUUUULDUURRULRLUUURDLRRLLDDDRDDRUDDDUDLULLDULURRRLULDLLLDDRULDDRRRLUULURUULDRDDRDLULLLRLURLRDLRDRLRRRDDDDURDU...

result:

ok Valid Solution (Length = 900000).

Test #4:

score: 0
Accepted
time: 64ms
memory: 6564kb

input:

5 4
1111
1111
1111
1111
1111
4 2 4 2

output:

URDDLLDLDURLLRRRDDUDDUUURRLUDDLDRLDLLRRLURUDRLUDDLRRDUDLULLUDUDDLLLDUUDLRRLRLRDLULDURDDDDDURRDRLRRLLDLDULUDUUULUDLLLRDUULUDLLLDLDULLDRDLDURLLULUUDUUDRDRUDDUUDLLDLURLLUDDRLLLURDUULDDURLULRLRDLLDULRRDDLUULUUUURLUDRDRDDULDDRUDLDUDDULULURUDRUDDLDRDLDUDDRLDURLLUUUDDRULLDRDRDDRLDUDUDDLULULLLDRRULRDDRRURDD...

result:

ok Valid Solution (Length = 900076).

Test #5:

score: 0
Accepted
time: 284ms
memory: 6596kb

input:

5 5
11111
10101
11111
10101
11111
1 4 5 5

output:

DRUDRDDDDDULUURUUUDDULDDLULURDURUDLDDULDURDURRLRUURUDUUDLDUDDLRRURLUDDUDULLDRDDLRLUULDRDDRLUDLDDDRDDRRLULDULUUDULUDUULUURUUDRUUDLDLDUUDDRDLULLUDRRUDLUUDDRLRLDLUDLDDRURRLDDLRUDLRDULRLLUULUULUUUDLLUDULLDULURDDUDLRRURDDRURLUDRUDURULLUDLULUULDURDDUUDRRURRRLDRURRLURLLDDLURRRRLRLLUULRUUDRDLDRURULURULRRUDD...

result:

ok Valid Solution (Length = 900080).

Test #6:

score: 0
Accepted
time: 172ms
memory: 6376kb

input:

5 3
111
100
111
001
111
4 3 3 2

output:

RLLULURDDURRDDLRUDUUDDURUDRRRLDDLDRUDDRUDDDULLURULRRDRLUDRLDDDLRDUDDUURUDUDLUDLLDRLRRURDLLDRURDLLDLLLLDUDRDRRLDUDULLRRRLUULURDLRRDRDRURRLURDUUDDDRDDUUDULURDDRDDLLUULRLUUDRLDDLLUDRUUDDUDLULLLRDDULRRLRURLDDRDUDULRLRRDLULRUURLULURRDDUDLULDDRURLURRUDLRULDDLDDRLRLRRULLDRUDUDDDRRURLDULUUULLLRUDLLUUUDDRRLR...

result:

ok Valid Solution (Length = 900040).

Test #7:

score: 0
Accepted
time: 121ms
memory: 6484kb

input:

5 4
1001
1101
1111
0011
0010
2 2 1 1

output:

RRUUDRUUUUDDLURDUUDRUUULDLRDLRRRRLULDDUULDDRLLDRLRLULUDUDRLLLRDLRLUDUULLLURDRDRURRDDUDULUUDDURLULDRRDRDUURUUUDLRLDUURRULUUULDDURRDLUDLLRURRLULLDRRRDDDURLUULURDULRURLDLDRRLRRRLDDRLURUDRUUDLRUURUDRDDRLULULUURDUURURDULURLRDUULDRLLLULRLDULDURLLRLLRURRUUULLRDLRLRRULUURRLRRDRRLUULLRRULRLDURDULDLRLDRURDURL...

result:

ok Valid Solution (Length = 900044).

Test #8:

score: 0
Accepted
time: 179ms
memory: 6636kb

input:

5 3
101
111
100
111
100
4 1 2 2

output:

LDULULUDDRLRDUULRULRUULRUDUDLRDRDLDULUUDLURDDRDRDDDRRUDULRDURRLDDRDDRRLUDRRDUDRURUUURDULLUDULRLUDUDRDDRUULLUDRUUDLLLLRRLDRULULLRDLDLDLLURUDLLUURULULDUDDRUDRURLDRDDLRLLRLRUDDRRDDRDDDDDLUUUDLLDUDRDURRRDULLUUDLRDRLLULRUDLDDDDLRULLULUULRRDLUDULDLLLURLLLLLULUUDDLDRURURURRLRURULRUDLDULUUUUDLDLLULRRLRDRRRU...

result:

ok Valid Solution (Length = 900036).

Test #9:

score: 0
Accepted
time: 70ms
memory: 6412kb

input:

5 5
01110
10110
11110
11011
11100
2 4 5 1

output:

LDRDURULRRLRUDDRDURDDLDUDULDDUURURUURLRDLLRLUDLDLRDRLULLUDRDRDLLDLUURRLDULDRDLLRDLRUDDRULDLURDURRRDULLDRUUUDLDDLURUDRDLULRDULLRDDLDLUUDRLDUULULUDDDLUULRRDRDLRRDDULDUDLDLRURRDURDDDURUDRULLDLLRUURUDURULULULDLUDRDRDRRURUDDURULURRLRLUDLLUDDDRRLUDDRUDRRRDUULURLDDLLRLLURRRRDLRRLLRRDRUDRLRLLDUUDDDUDUURDURU...

result:

ok Valid Solution (Length = 900064).

Test #10:

score: 0
Accepted
time: 339ms
memory: 6708kb

input:

5 3
011
111
110
111
011
3 1 2 1

output:

LLURURDLLDLUUDRURDDLLDLUUURDDDUULDLULLLRLDRLRDDUUDRUUDRURRURRRDRDRLDUDRDLDRDLRURRRDRRLRURULLLRUDUULUDULRDRLDDLDLULLDDDLUUDLUDDRRLDRURDUUUDRDRDUDUDRLRRURLRLRRUDLDDUDUULRRDLDRLUDLDDDUDULULLRLRDRRDRURDDDRLRRRULRRDUDRRDRDUUUUURLRRDDRDLLDDDULDDDLRLRLDDUDRRLLUUDURRLLLLLRUDLRLDRDRDULDDDDRDDULLDURDDDDLRUDUL...

result:

ok Valid Solution (Length = 900044).

Test #11:

score: 0
Accepted
time: 170ms
memory: 6528kb

input:

4 5
11111
11111
11111
11111
3 2 1 3

output:

URLDLLURLUUDUURRDULUURUDUUUDLUUUDRRUDLRDDLDLDRULRDULRRULDDLUURRRUDUURRRRDDUUDURURRULRURLDDUDURRRULDDLURLULUDURRDRLRLUURRDURDDRRRUDRRURLRDUUDLLLLUDULDLURDURRRULRURDULUUDRUDUDULDDDUDULLRRUUULDDRDRLRDRRRUUDURLDLURULDLDRLRRLDDLURRLLURLUULULRURLULUDULULLURLLDLDRRRRDLRLUUDLUDDDDLURDUUUDRDULDLURRUDRRUDULLU...

result:

ok Valid Solution (Length = 900076).

Test #12:

score: 0
Accepted
time: 35ms
memory: 6452kb

input:

5 5
11111
10101
11111
10101
11111
2 5 1 1

output:

LLUUDULUULRULURRRRLUDLRRUDLUDUURULLURUDRRLRDDDULRLRULRUUDLLUDRRURLURLRRUDDDRDLDULRLURLUDDDDRDUUDRLDULLLDRUDDUURUULRRRURLRDUDLUDUDULRUUUUURDDDDRDRDDRDRRUDUDRRLRDDLUUDRULLLULUDRLDRUDUULRDRRDDLLURRLDRURUURDDURDRRRUDLUDUURDUURUULDDLDLDUDUDUDDDUDLUUDLRDDURRULDULUURULUDLRULUDRRRRDRRLRLURRULRURRDLRLURDUULD...

result:

ok Valid Solution (Length = 900080).

Test #13:

score: 0
Accepted
time: 151ms
memory: 6584kb

input:

4 5
11111
10000
11111
00001
1 3 4 5

output:

LDRLURDRRULUDRULURRRDRRRUULRDDRRURRDDDLUURRLLDURLUDUDDDDURRURLUURURDLRLDLLDDRDRDLLLUULRRRUUURLLLRRUDLLRLLRRUDDLDUDULUUDDRDUDDURDDUDLDUURLRLLUUDDLURURLDDLDDLRRULDDLLDLRUDDRLRUDDUUDLRLDUDRURURRRDLUDRLUDUUDDRRULDRURLRRRUDUDRDUUDUURRDDRLLDRRRLLRUULLLRUDDDULLDRRULLRLLDDULRRDRRRDRDLRDURDUULURDDUULDLDRURUL...

result:

ok Valid Solution (Length = 900044).

Test #14:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

3 5
10100
00010
00111
1 3 1 1

output:

-1

result:

ok No Solution.

Test #15:

score: 0
Accepted
time: 14ms
memory: 6600kb

input:

4 5
10001
11111
11100
11111
4 5 3 1

output:

LDLLLRLDLUUUURLDDRRLRRRLDUULLLUDLUUUUDLURLDLLLDRRLRDLRLRDRURLUDRRRLDDURRRLUDLDUULLLDDLLRURDDRRRDRLRRLLULDDRRURRDLURDLUURLLDDDURRUDDLLDDRLUUURDDLLUULLDDUULLDULRDRDDDULLDRRLLDDULRRUDLRRULLLLDUDRDRUDLRRLLDDLRURRDULDLDLDULLLDRRRRRRDURULDLUDDUDDLULRUDUDDLDDRDDDUDRLURURLUUDRRDLDLLRULDLRLLLDRLDLRUUURDUDUDU...

result:

ok Valid Solution (Length = 900056).

Test #16:

score: 0
Accepted
time: 136ms
memory: 6488kb

input:

3 5
11111
10100
11111
1 2 3 5

output:

DRUDUDURDLRLLRDDRDDRLDRURLDDLLDRULRDLLDUURDDLLRULUDDUDDLLRDULDULULUDLURDRLDDDRUDRUUUDULUUDDULLLLUDDUURRRRDDDLDDURRDDLRRDRLRRLDLURUDLRRDRULURRRRLLURUDDDDUDLDLLLUDRLULULDLRUDDDLRLURULURDRURUUDRRDDLDRLLURLRRLDDRRRULDLDURDDRRDLLUUURUDLUDLUURDURRRUULDLULRLUUDLDUUDRRLLRUURDDRRLDLDUURUURLDRDDDRUDDLDLDDLLUR...

result:

ok Valid Solution (Length = 900044).

Test #17:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

4 5
01110
10101
11011
10111
1 3 2 3

output:

-1

result:

ok No Solution.

Test #18:

score: 0
Accepted
time: 211ms
memory: 6580kb

input:

5 5
11111
11111
11111
11111
11111
1 3 5 2

output:

DDRLLUDLDRRRULDLLULDDUDDURRDRRLLLRDURDDULUUURRDDUDURDDRDLRUDUDRDDRLULDDURLRURLDRRUDULDURDRRDDDDRDDRURRLLDDLDUDDUDRRULDLDRLDLURLLRRURULRRDRLUURURLLDDRUDULUULURDUURDDUDURLUUDDDLRDUUUDDLDLRLUDDRDDRLLLLDRRLLLRURDRLLDLRDDLLDDDDRDDUDDULLULDUDRRDLRLUDLRLLUDLLULRLLLRLLURDLDLUUDLDRURRLLUDUUDDLDUUUDRDRDUDLRUL...

result:

ok Valid Solution (Length = 900096).

Test #19:

score: 0
Accepted
time: 690ms
memory: 6648kb

input:

5 5
11111
10101
11111
10101
11111
5 1 2 3

output:

RDUUDLUDDDULRULRRUUUUDLDLUURURLRRLDLULRLRUDLDRURRRRLURRDULLDDUDRLRRRRURRRUULLRRRDULDLRULRDRUDRLLRUUUDLUUULULRUULRULDRDULRRLLDDLRULRDDRUDLRDRURDDRUDRDLLUUDDRURLDURULRULLUDURLDLUDDRRLLULURUDRDRRDRLRLRUDLUDLLDLRRDURUURLDDULUDDLRLLDLRLLDUUDDRLRDLURUUDDDLLULRRDLDDRLLLLDDRUDRRULURRUDRDLDDRRDDURURUUDLURLRL...

result:

ok Valid Solution (Length = 900080).

Test #20:

score: 0
Accepted
time: 303ms
memory: 6532kb

input:

5 5
11111
10000
11111
00001
11111
4 5 5 3

output:

UURLLUURDRLRDRLLDRDULLDLDUDLRRDRUUDDRDRRLLDDDDDUUDLRDRDUULUUDLRRLULLDRUUUUDRDDULUDLRDLULUUDDURDDRDRUULRURRLRULDDURLDULURDDLULULUDLRURRURRUUDDDRUDRULLDUDDLUDLRLUULLRURULLRUUDRLRDLRDLLRRRRRRULDUUDDDDDUDRRRDDLDLRLUDDULDRLUULDDURDLDLDLLULRURDDDDRRLRUDDRRDURUUULDRDRURULUDULLDDDDRULDLLLLLLURDDDLRDDULDDRLU...

result:

ok Valid Solution (Length = 900064).

Test #21:

score: 0
Accepted
time: 0ms
memory: 3960kb

input:

5 5
01010
10101
10101
11001
10011
4 1 5 4

output:

-1

result:

ok No Solution.

Test #22:

score: 0
Accepted
time: 551ms
memory: 6508kb

input:

5 5
10101
11111
10101
11111
11111
3 1 2 4

output:

DURULDUUULDUDRRRLULRDRLLLDURDDLRDDDRDDUUUUDRDDULDUDUURLURDRRLUURLLLRUURDUURDRRDLUULRULDRDDRRDUDLURDLRDLRUDRRRURRLDUDDLRURULUDLRUUDURURLLLLDULLRLRUURDDRULUULDLDUDLRDRUULDUDLDUULDLURLRDDLLDDDRRLDDDLDUUDDRDLRRRUUUUURRDUDLUULLUDDLLULDUULRLULULRLUDRUDDLLULDDUDDLDLDUDURDDLLRLDRUUDLULDUURUURULUDRLLRLRRULRU...

result:

ok Valid Solution (Length = 900080).

Test #23:

score: 0
Accepted
time: 70ms
memory: 6632kb

input:

5 5
00001
11111
01110
01111
01111
1 5 5 2

output:

DDUDLLLLRLUDRLRUDLDDRLLULDDUURDURRDRLRUURDLUURULULURDDLDLLDULDURURUDLLDRRDUURLLURDUDURRULDLLULRDDLRUDLRULLRUDUULLULDUURDUDDDDLLRRLUDUDLUDDDRDDLLULLRURRLUDURRLLRRRRUDULRDRDDDRLLLRUUDRDLLLRRUDDLRDUDRRRLRDDDULLDLUDDLLURLDUDRLLRLRLUDURDUUDRULLUDULUUURUUDRDURRUDUDUURLRUDUUURUUDDURLRRLRULDLRDDLRRURDRRUDDD...

result:

ok Valid Solution (Length = 900064).

Test #24:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

5 5
01011
10111
11011
10101
01110
4 1 2 3

output:

-1

result:

ok No Solution.

Test #25:

score: -100
Time Limit Exceeded

input:

10 8
11111111
11111111
11111111
11111111
11111111
11111111
11111111
11111111
11111111
11111111
7 7 3 6

output:


result: