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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#519822#9159. 登山nhuang68525 226ms4364kbC++237.5kb2024-08-15 04:12:102024-08-15 04:12:11

Judging History

你现在查看的是最新测评结果

  • [2024-08-15 04:12:11]
  • 评测
  • 测评结果:25
  • 用时:226ms
  • 内存:4364kb
  • [2024-08-15 04:12:10]
  • 提交

answer

/**
 * @author n685
 * @brief
 * @date 2024-08-14 15:09:59
 *
 *
 */
#include <bits/stdc++.h>

#ifdef LOCAL
#include "dd/debug.h"
#else
#define dbg(...) 42
#define dbgP(...) 420
#define dbgRP(...) 420420
void nline() {}
void bar() {}
#endif

template <class T> constexpr std::pair<T, T> ex_eucl(T a, T b) {
  if (a < b) {
    auto [x, y] = ex_eucl(b, a);
    return {y, x};
  }
  if (b == 0) {
    assert(a == 1);
    return {1, 0};
  }
  auto [x, y] = ex_eucl(b, a % b);
  return {y, x - (a / b) * y};
}

template <class Md, class V = int64_t>
  requires std::signed_integral<std::decay_t<decltype(Md::value)>>
struct Mod {
  using T = std::decay_t<decltype(Md::value)>;
  T val = 0;

  static constexpr T normalize(std::integral auto val) {
    using U = decltype(Md::value + val);
    U uval = static_cast<U>(val);
    U umd = static_cast<U>(Md::value);
    if (uval <= -umd || umd <= uval) {
      uval %= umd;
    }
    if (val < 0) {
      uval += umd;
    }
    return static_cast<T>(uval);
  }

  constexpr Mod() : val(0) {}
  constexpr explicit Mod(std::integral auto _val) : val(normalize(_val)) {}
  static inline const Mod ZERO = Mod(0);
  static inline const Mod ONE = Mod(1);
  static inline const Mod TWO = Mod(2);

  // addition
  constexpr Mod &operator+=(Mod b) {
    val += b.val;
    if (val >= Md::value) {
      val -= Md::value;
    }
    return *this;
  }
  friend constexpr Mod operator+(Mod a, Mod b) { return (a += b); }
  constexpr Mod &operator++() { return (*this += Mod(1)); }
  constexpr Mod operator++(int) {
    Mod res = *this;
    ++(*this);
    return res;
  }

  // subtraction
  constexpr Mod &operator-=(Mod b) {
    val -= b.val;
    if (val < 0) {
      val += Md::value;
    }
    return *this;
  }
  friend constexpr Mod operator-(Mod a, Mod b) { return (a -= b); }
  constexpr Mod &operator--() { return (*this -= Mod(1)); }
  constexpr Mod operator--(int) {
    Mod res = *this;
    --(*this);
    return res;
  }
  // negation
  constexpr Mod operator-() const { return Mod(-val); }

  // multiplication
  constexpr Mod &operator*=(Mod b) {
    val = static_cast<T>(static_cast<V>(val) * b.val % Md::value);
    return *this;
  }
  friend constexpr Mod operator*(Mod a, Mod b) { return (a *= b); }
  constexpr Mod binpow(std::integral auto b) const {
    Mod res = Mod(1), a = *this;
    while (b > 0) {
      if (b % 2 == 1) {
        res *= a;
      }
      a *= a;
      b /= 2;
    }
    return res;
  }

  // factorial
  // align with fft, if code fails to compile make this smaller (if using array)
  static constexpr int MXINV = 1 << 22;
  static inline bool init = false;
  static inline std::vector<Mod> ff, iff;
  static void reset_fac() { init = false; }
  static void init_fac() {
    if (init) {
      return;
    }
    ff.resize(MXINV + 1);
    ff[0] = Mod(1);
    for (int i = 1; i <= MXINV; ++i) {
      ff[i] = ff[i - 1] * Mod(i);
    }
    iff.resize(MXINV + 1);
    iff[MXINV] = ff[MXINV].large_inv();
    for (int i = MXINV - 1; i >= 0; --i) {
      iff[i] = iff[i + 1] * Mod(i + 1);
    }
    init = true;
  }
  static Mod fac(int v) {
    if (!init) {
      init_fac();
    }
    return ff[v];
  }
  static Mod ifac(int v) {
    if (!init) {
      init_fac();
    }
    return iff[v];
  }
  static Mod comb(int n, int k) {
    if (n < 0 || k < 0 || n < k) {
      return Mod(0);
    }
    return fac(n) * ifac(n - k) * ifac(k);
  }
  static Mod perm(int n, int k) {
    if (n < 0 || k < 0 || n < k) {
      return Mod(0);
    }
    return fac(n) * ifac(n - k);
  }

  // inverse
  Mod small_inv() const {
    return ifac(static_cast<int>(val)) * fac(static_cast<int>(val) - 1);
  }
  constexpr Mod large_inv() const {
    return Mod(ex_eucl(static_cast<V>(val), static_cast<V>(Md::value)).first);
    // return binpow(Md::value - 2);
  }
  Mod inv() const {
    if (val <= MXINV) {
      return small_inv();
    }
    return large_inv();
  }

  // sqrt
  std::optional<Mod> sqrt() {
    static std::mt19937 rng(
        std::chrono::steady_clock::now().time_since_epoch().count());
    Mod c = Mod::ZERO;
    while ((c * c - *this).binpow((Md::value - 1) / 2) == Mod::ONE) {
      c = Mod(rng());
    }
    if (c == Mod::ZERO) {
      return std::nullopt;
    }
    std::pair<Mod, Mod> res(Mod::ONE, Mod::ZERO), a(c, Mod::ONE);
    T b = (Md::value + 1) / 2;
    auto mul = [&c, this](const std::pair<Mod, Mod> &u,
                          const std::pair<Mod, Mod> &v) -> std::pair<Mod, Mod> {
      return {u.first * v.first + u.second * v.second * (c * c - *this),
              u.second * v.first + u.first * v.second};
    };
    while (b > 0) {
      if (b % 2 == 1) {
        res = mul(res, a);
      }
      a = mul(a, a);
      b /= 2;
    }
    return res.first;
    // return std::min(res.first, -res.first);
  }

  // comparison
  constexpr bool operator==(const Mod &b) const = default;
  constexpr std::strong_ordering operator<=>(const Mod &b) const = default;

  // io
  friend std::istream &operator>>(std::istream &in, Mod &a) {
    int64_t v;
    in >> v;
    a = Mod(v);
    return in;
  }
  friend std::ostream &operator<<(std::ostream &out, const Mod &a) {
    out << a.val;
    return out;
  }

  // conversion
  constexpr T value() const { return val; }
};

#if defined(LOCAL) && __cplusplus >= 202302L
template <class Md, class V>
  requires std::formattable<typename Mod<Md, V>::T, char>
struct std::formatter<Mod<Md, V>, char> {
  using T = typename Mod<Md, V>::T;
  std::formatter<T, char> underlying;
  constexpr formatter() {
    if constexpr (requires { underlying.set_debug_format(); }) {
      underlying.set_debug_format();
    }
  }
  template <class ParseContext> constexpr auto parse(ParseContext &ctx) {
    return underlying.parse(ctx);
  }
  template <class FormatContext>
  auto format(const Mod<Md, V> &val, FormatContext &ctx) const {
    return underlying.format(val.value(), ctx);
  }
};
#endif

constexpr int MOD = 998'244'353;
using Mint = Mod<std::integral_constant<std::decay_t<decltype(MOD)>, MOD>>;

void solve() {
  int n;
  std::cin >> n;

  std::vector<std::vector<int>> adj(n);
  std::vector<int> d(n), l(n), r(n), h(n);
  for (int i = 1; i < n; ++i) {
    int p;
    std::cin >> p >> l[i] >> r[i] >> h[i];
    --p;
    d[i] = d[p] + 1;
    int nl = d[i] - r[i];
    int nr = d[i] - l[i];
    l[i] = nl;
    r[i] = nr;
    h[i] = d[i] - h[i] - 1;
    adj[p].push_back(i);
  }

  std::vector<Mint> dp(n);
  std::vector<Mint> s(n);
  auto dfs = [&](auto &self, int node) -> void {
    if (node == 0) {
      s[0] = Mint::ONE;
      for (int i : adj[node]) {
        self(self, i);
      }
      return;
    }
    auto dfs2 = [&](auto &self2, int j, int mx) -> void {
      if (std::min(r[j], mx) >= l[j]) {
        dp[node] +=
            s[std::min(r[j], mx)] - (l[j] - 1 < 0 ? Mint::ZERO : s[l[j] - 1]);
      }
      for (int i : adj[j]) {
        self2(self2, i, std::min(mx, h[i]));
      }
    };
    dfs2(dfs2, node, h[node]);
    s[d[node]] = s[d[node] - 1] + dp[node];
    for (int i : adj[node]) {
      self(self, i);
    }
  };
  dfs(dfs, 0);
  for (int i = 1; i < n; ++i) {
    std::cout << dp[i] << ' ';
  }
  std::cout << '\n';
}

int main() {
#ifndef LOCAL
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
#endif

  int c, t;
  std::cin >> c >> t;
  while ((t--) != 0) {
    solve();
  }
}

Details

Tip: Click on the bar to expand more detailed information

Pretests

Pretest #1:

score: 5
Accepted
time: 0ms
memory: 3640kb

input:

1
4
6
1 1 1 0
1 1 1 0
3 1 2 1
3 2 2 0
4 2 3 1
6
1 1 1 0
2 1 2 0
2 1 2 0
1 1 1 0
4 1 2 2
6
1 1 1 0
1 1 1 0
3 1 2 1
4 2 2 0
3 1 1 0
6
1 1 1 0
1 1 1 0
3 1 1 0
4 2 3 1
2 1 2 0

output:

1 4 2 1 5 
3 4 4 1 0 
1 2 1 2 2 
2 2 5 3 3 

result:

ok 20 numbers

Pretest #2:

score: 5
Accepted
time: 1ms
memory: 3920kb

input:

2
4
300
1 1 1 0
2 1 2 1
3 1 3 1
1 1 1 0
3 1 3 0
4 2 2 3
7 1 2 0
8 2 2 2
7 1 3 4
7 3 4 4
11 1 6 1
12 1 3 5
10 2 5 5
13 1 5 4
13 4 7 2
15 8 8 8
16 8 9 4
15 1 9 6
18 4 5 6
19 3 8 8
18 5 10 2
19 3 7 5
23 5 7 6
22 6 8 10
23 4 7 3
24 1 4 6
24 8 12 9
28 7 11 8
26 1 9 7
28 1 3 1
29 2 5 0
32 1 6 4
30 5 12 7
...

output:

19 18 35 1 38 15 50 0 0 15 349 261 0 525 195 0 108 490 0 0 103 632 393 0 814 0 378 625 174 1025 6236 3125 139 2003 1218 1935 37 265 1218 3929 19 0 211 0 19 1135 35695 14466 46868 29814 18352 5053 11375 28739 0 27114 13392 7593 423 2714 22394 22394 15506 1218 8147 13088 0 17493 42846 178996 171635 9 ...

result:

ok 1196 numbers

Pretest #3:

score: 5
Accepted
time: 1ms
memory: 3848kb

input:

3
4
300
1 1 1 0
2 1 2 1
3 3 3 0
2 1 2 1
3 1 3 1
3 1 3 0
4 1 4 1
6 4 4 2
9 3 5 1
7 3 4 2
10 2 5 4
12 1 5 2
11 1 3 2
12 3 6 6
13 6 6 3
13 3 8 0
14 3 5 0
16 3 5 5
16 6 9 5
20 2 7 3
20 3 7 9
21 7 9 2
23 3 4 8
21 4 9 6
24 11 12 2
25 3 4 1
27 7 13 5
26 1 8 3
29 2 4 6
29 6 15 14
29 5 5 10
32 6 10 11
30 1 9...

output:

20 18 40 1 233 80 39 212 229 41 190 5094 56 0 4147 713 118 0 4129 5124 0 3313 2850 947 21534 9179 903 21496 2811 1 0 0 2811 143571 56660 67998 10105 25021 67687 3214 0 0 82668 44365 27652 38 25699 379349 23912 1787 84893 13400 25076 13513 0 3370 24657 0 24275 58446 49516 740 0 1198 48652 0 942 256 1...

result:

ok 1196 numbers

Pretest #4:

score: 5
Accepted
time: 212ms
memory: 4344kb

input:

4
4
5000
1 1 1 0
1 1 1 0
1 1 1 0
4 1 2 0
5 2 3 2
5 1 3 1
6 2 3 2
6 2 3 1
8 3 5 4
8 4 5 3
11 2 4 4
11 1 3 3
11 5 6 3
12 1 1 6
15 1 5 3
15 1 6 6
17 5 6 5
17 6 8 4
18 7 9 3
19 1 10 3
19 2 4 7
20 1 9 3
23 8 11 7
22 2 5 4
23 7 8 1
24 1 9 8
26 9 11 7
28 8 10 13
29 1 11 3
30 9 9 14
31 11 15 4
32 8 16 8
31 ...

output:

1 1 28 83 25 29 108 111 1 79 21 0 29 21 133 133 533 381 1227 345 0 1112 352 21 423 108 236 20 3618 384 2884 2568 2114 0 7325 1427 7325 3531 1211 1211 19325 28 27101 28 25566 28 18010 0 4297 10182 0 104310 18494 85683 1003 13578 130166 229 28179 27681 117683 173543 113521 3918 9870 4030 1902 0 0 2142...

result:

ok 19996 numbers

Pretest #5:

score: 5
Accepted
time: 226ms
memory: 4364kb

input:

5
4
5000
1 1 1 0
1 1 1 0
1 1 1 0
2 1 2 0
3 1 1 1
4 1 1 0
6 1 3 2
7 1 3 1
8 2 2 0
8 1 3 2
11 3 5 1
10 1 5 4
13 1 2 4
12 3 4 3
15 3 5 2
15 2 6 2
15 1 3 3
16 7 7 3
19 1 7 4
18 2 3 4
20 1 10 5
21 2 3 8
21 4 9 6
22 7 9 3
24 2 6 8
25 1 3 4
25 3 4 1
26 3 4 3
29 5 11 9
28 8 11 12
29 7 9 11
32 5 12 5
32 11 1...

output:

2 35 2 3 34 5 34 3 35 277 514 1 0 444 1451 380 134 1106 1071 134 726 0 134 345 64 0 2177 232 69 0 29 1472 1695 0 1625 0 0 1589 0 4219 2460 104 68 725 1235 1337 15332 1171 0 16744 9322 1360 13966 22157 3645 2319 16617 4491 15278 7736 1339 7806 9758 10865 1339 28395 22817 4866 1338 36 4422 64 5226 325...

result:

ok 19996 numbers

Pretest #6:

score: 0
Time Limit Exceeded

input:

6
4
100000
1 1 1 0
2 1 1 0
3 1 1 0
4 2 2 0
5 1 1 0
6 2 2 0
7 6 6 0
8 3 3 0
9 6 6 0
10 8 8 0
11 6 6 0
12 12 12 0
13 11 11 0
14 2 2 0
15 2 2 0
16 2 2 0
17 9 9 0
18 1 1 0
19 4 4 0
20 18 18 0
21 13 13 0
22 20 20 0
23 3 3 0
24 21 21 0
25 8 8 0
26 11 11 0
27 11 11 0
28 3 3 0
29 21 21 0
30 1 1 0
31 27 27 0...

output:


result:


Pretest #7:

score: 0
Time Limit Exceeded

input:

7
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
3 1 1 0
1 1 1 0
3 1 1 0
7 1 1 0
6 1 1 0
9 2 2 0
6 1 1 0
6 1 1 0
7 2 2 0
9 2 2 0
11 1 1 0
11 2 2 0
14 4 4 0
12 1 1 0
16 3 3 0
15 1 1 0
17 3 3 0
20 5 5 0
18 4 4 0
20 2 2 0
19 2 2 0
22 5 5 0
22 2 2 0
22 3 3 0
23 5 5 0
27 7 7 0
26 6 6 0
27 5 5 0
31 1 1 0
33 9 9 0
34 2 ...

output:


result:


Pretest #8:

score: 0
Time Limit Exceeded

input:

8
4
100000
1 1 1 0
2 2 2 0
3 3 3 0
4 4 4 2
5 2 2 1
6 6 6 0
7 2 2 0
8 7 7 3
9 4 4 3
10 1 1 4
11 3 3 0
12 8 8 11
13 13 13 7
14 5 5 10
15 8 8 11
16 14 14 5
17 9 9 2
18 17 17 7
19 3 3 1
20 1 1 9
21 14 14 5
22 5 5 17
23 8 8 14
24 8 8 9
25 24 24 7
26 24 24 7
27 17 17 8
28 27 27 27
29 26 26 6
30 17 17 14
3...

output:


result:


Pretest #9:

score: 0
Time Limit Exceeded

input:

9
4
100000
1 1 1 0
2 2 2 0
2 1 1 1
2 2 2 1
1 1 1 0
6 1 1 1
3 1 1 0
6 1 1 0
7 1 1 2
6 2 2 0
8 3 3 2
9 1 1 1
9 1 1 0
12 5 5 2
14 1 1 3
13 4 4 3
13 1 1 3
14 3 3 3
17 5 5 2
19 1 1 0
18 3 3 3
22 3 3 5
23 1 1 0
21 5 5 3
22 4 4 4
23 7 7 2
24 6 6 3
25 2 2 1
29 6 6 7
29 8 8 3
31 8 8 7
32 6 6 5
31 5 5 7
31 2 ...

output:


result:


Pretest #10:

score: 0
Time Limit Exceeded

input:

10
4
100000
1 1 1 0
2 2 2 0
3 3 3 0
4 2 2 0
5 2 4 0
6 1 3 0
7 2 4 0
8 3 8 0
9 1 6 0
10 4 6 0
11 2 9 0
12 2 3 0
13 1 13 0
14 4 12 0
15 1 9 0
16 7 13 0
17 10 17 0
18 17 17 0
19 10 11 0
20 2 13 0
21 9 11 0
22 15 18 0
23 9 22 0
24 4 6 0
25 21 22 0
26 9 16 0
27 18 27 0
28 4 16 0
29 13 24 0
30 1 5 0
31 5 ...

output:


result:


Pretest #11:

score: 0
Time Limit Exceeded

input:

11
4
100000
1 1 1 0
1 1 1 0
2 1 2 0
1 1 1 0
2 1 2 0
6 1 3 0
5 1 2 0
7 2 3 0
6 2 2 0
8 1 3 0
9 2 3 0
9 3 5 0
10 2 4 0
13 2 4 0
12 4 6 0
13 1 6 0
16 1 4 0
18 6 7 0
18 2 4 0
20 1 6 0
21 2 9 0
20 1 3 0
23 1 4 0
22 1 8 0
24 10 10 0
23 3 5 0
24 3 11 0
26 8 11 0
27 1 9 0
30 2 11 0
28 12 12 0
32 4 8 0
32 9 ...

output:


result:


Pretest #12:

score: 0
Time Limit Exceeded

input:

12
4
100000
1 1 1 0
1 1 1 0
3 1 2 0
3 1 2 0
4 1 1 0
4 1 3 0
6 2 4 0
7 2 4 0
9 1 4 0
8 1 3 0
11 3 3 0
11 5 6 0
12 1 2 0
14 3 3 0
13 2 7 0
16 2 3 0
17 2 4 0
17 7 9 0
17 3 8 0
20 2 6 0
21 10 11 0
21 6 11 0
21 7 9 0
23 3 4 0
24 5 11 0
26 6 9 0
26 5 7 0
27 12 13 0
29 10 10 0
28 1 3 0
31 13 15 0
32 7 13 0...

output:


result:


Pretest #13:

score: 0
Time Limit Exceeded

input:

13
4
100000
1 1 1 0
2 1 2 0
3 2 2 2
4 2 4 1
5 1 2 4
6 4 6 2
7 1 6 4
8 6 6 5
9 5 8 8
10 6 6 1
11 8 11 5
12 8 11 1
13 4 8 6
14 4 7 1
15 11 15 5
16 1 1 10
17 6 9 7
18 8 16 2
19 2 9 10
20 6 20 7
21 12 14 11
22 9 14 14
23 6 7 22
24 12 14 11
25 20 20 21
26 10 20 0
27 19 26 8
28 21 23 12
29 4 13 23
30 15 2...

output:


result:


Pretest #14:

score: 0
Time Limit Exceeded

input:

14
4
100000
1 1 1 0
2 1 1 1
1 1 1 0
2 1 2 1
4 2 2 1
5 2 2 1
7 1 4 1
8 2 5 3
8 5 5 3
10 2 3 5
11 1 6 5
10 1 4 5
12 5 8 1
12 3 6 5
13 3 6 2
15 2 5 8
17 6 7 6
18 6 8 5
17 10 10 1
18 4 5 5
20 4 11 7
22 8 9 4
23 9 13 12
24 9 13 10
24 6 8 7
26 3 13 13
26 11 14 11
28 11 11 2
27 9 16 8
30 6 12 0
31 13 17 16...

output:


result:


Pretest #15:

score: 0
Time Limit Exceeded

input:

15
4
100000
1 1 1 0
1 1 1 0
3 1 1 1
3 2 2 0
4 1 2 0
5 1 1 2
2 1 2 0
3 1 2 0
7 3 3 1
9 3 3 1
8 1 2 1
10 1 5 1
8 2 3 0
9 1 2 1
11 3 3 3
14 1 2 2
15 1 3 1
15 2 4 0
15 1 4 3
17 3 4 2
19 5 5 2
21 4 6 4
21 6 6 2
24 2 4 6
24 3 7 4
22 3 4 0
23 1 5 5
23 5 6 6
26 2 8 3
30 5 9 8
27 4 6 1
27 3 7 2
31 6 8 7
32 5...

output:


result:


Pretest #16:

score: 0
Time Limit Exceeded

input:

16
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
4 1 1 1
1 1 1 0
2 1 2 0
7 2 3 2
3 2 2 0
6 2 2 0
8 2 3 0
11 1 5 1
11 2 5 3
11 3 3 4
14 2 6 2
14 2 3 0
12 2 3 0
12 4 5 0
16 3 7 1
19 3 7 2
18 3 4 2
21 2 4 0
22 1 3 0
21 1 6 6
21 4 5 3
21 1 7 4
23 1 10 2
26 1 6 4
23 9 10 0
25 7 8 1
25 3 9 2
27 9 11 3
29 4 11 7
33 2 6...

output:


result:


Pretest #17:

score: 0
Time Limit Exceeded

input:

17
4
100000
1 1 1 0
2 2 2 0
1 1 1 0
1 1 1 0
5 1 2 1
5 1 2 1
6 2 2 2
7 1 1 0
8 1 1 3
8 3 4 2
6 1 3 2
9 2 4 1
8 4 4 0
11 1 4 2
10 3 3 1
11 2 5 0
14 2 3 0
17 4 4 2
14 3 4 4
17 1 4 2
19 2 6 6
17 1 1 5
18 1 5 3
23 3 7 2
22 2 3 7
24 4 6 3
23 1 7 4
23 7 7 5
27 5 6 2
26 6 9 5
28 1 7 4
30 1 9 5
29 2 6 6
29 4...

output:


result:


Pretest #18:

score: 0
Time Limit Exceeded

input:

18
4
100000
1 1 1 0
2 1 2 1
2 1 2 0
2 1 2 0
3 3 3 1
5 1 3 1
4 2 3 2
7 1 3 1
8 2 4 0
9 1 4 1
8 2 3 3
12 2 5 3
9 2 3 2
11 1 1 1
11 2 4 1
14 1 6 2
15 7 7 0
17 2 4 4
18 6 7 1
17 2 6 6
17 5 5 1
20 2 5 7
22 1 7 3
23 6 10 7
25 4 4 6
25 8 11 7
26 2 10 3
26 6 7 6
27 12 12 2
28 1 1 0
29 8 11 11
32 3 9 12
30 2...

output:


result:


Pretest #19:

score: 0
Time Limit Exceeded

input:

19
4
100000
1 1 1 0
1 1 1 0
2 1 1 1
4 1 3 1
1 1 1 0
6 2 2 1
5 2 2 1
6 1 1 0
5 2 3 1
9 1 3 0
10 1 5 3
11 2 4 1
10 2 5 2
13 1 2 2
15 1 3 0
16 1 3 1
16 3 4 6
14 6 6 0
18 6 6 1
19 1 7 2
21 6 6 4
20 9 9 3
21 1 4 5
22 4 8 7
24 2 9 8
26 7 8 0
25 1 2 8
28 1 9 8
26 2 5 3
30 2 2 1
27 9 9 3
30 4 9 2
29 3 7 8
3...

output:


result:


Pretest #20:

score: 0
Time Limit Exceeded

input:

20
4
100000
1 1 1 0
2 1 1 0
3 1 3 2
4 4 4 1
5 1 5 0
6 1 6 3
4 2 2 1
3 3 3 2
8 1 1 3
7 2 5 0
10 1 3 4
11 1 7 5
9 1 1 3
14 1 3 1
12 4 6 4
16 1 4 7
15 2 4 4
17 2 7 1
19 6 9 6
18 4 6 2
18 2 7 4
18 2 4 3
22 1 7 0
19 3 9 6
20 4 7 7
26 5 10 9
27 2 7 10
27 3 10 6
29 8 9 10
26 7 8 5
31 3 9 1
31 5 13 5
32 10 ...

output:


result:



Final Tests

Test #1:

score: 5
Accepted
time: 0ms
memory: 3804kb

input:

1
4
6
1 1 1 0
2 1 2 0
3 2 3 0
3 2 2 2
5 4 4 3
6
1 1 1 0
1 1 1 0
3 1 1 1
3 1 1 0
4 2 3 1
6
1 1 1 0
2 1 2 1
2 1 2 0
2 2 2 0
2 1 2 0
6
1 1 1 0
2 1 1 1
1 1 1 0
4 1 2 1
5 1 2 2

output:

4 11 5 1 1 
1 2 1 2 3 
5 1 6 1 6 
1 0 2 1 0 

result:

ok 20 numbers

Test #2:

score: 5
Accepted
time: 0ms
memory: 3620kb

input:

2
4
300
1 1 1 0
2 1 1 0
1 1 1 0
4 1 2 1
2 2 2 0
6 1 2 1
3 1 3 0
4 1 2 1
6 1 1 1
10 2 3 0
6 2 3 2
11 2 4 0
11 4 5 2
14 4 4 5
10 1 3 2
12 3 4 0
12 2 4 1
15 7 7 5
17 3 4 1
16 4 4 0
21 2 2 5
20 2 4 2
20 2 2 1
23 3 5 1
20 3 4 0
22 4 5 0
26 5 7 1
28 1 8 1
27 2 6 6
26 1 5 2
30 1 3 6
28 1 1 4
28 2 7 6
34 2 ...

output:

34 69 3 1 236 34 104 1 173 749 28 443 36 1 69 2124 271 1 2089 35 1 528 2124 2388 7628 444 4976 12140 35 2388 271 0 193 298 1 444 1 388 0 0 22121 5170 2423 89 9981 236 4511 29441 0 0 28 17308 12797 20 290 0 28 66702 24245 47192 29221 238597 12140 15625 92547 8753 45281 107649 11412 4241 91539 477 118...

result:

ok 1196 numbers

Test #3:

score: 5
Accepted
time: 1ms
memory: 3632kb

input:

3
4
300
1 1 1 0
2 1 2 0
3 1 3 0
4 1 3 2
4 1 4 2
3 1 2 0
5 1 5 0
4 1 2 3
4 1 4 3
5 1 2 2
8 5 6 3
10 1 3 2
9 4 5 3
13 4 6 1
10 1 4 3
12 4 5 5
13 1 2 1
13 2 3 4
18 6 7 6
17 6 8 3
19 1 3 3
21 9 9 4
22 2 4 5
21 5 7 4
22 1 5 1
23 3 9 3
24 1 1 6
25 1 2 7
28 1 8 6
30 1 11 2
30 4 9 0
32 2 10 3
30 6 8 8
32 6 ...

output:

25 249 447 129 26 274 929 1 16 0 78 1288 26 275 25 52 17 763 1 1951 3700 851 3253 825 2514 1857 3253 0 6382 19019 20093 9716 823 3914 2067 9277 585 8365 79274 36681 2789 274 274 22165 72494 0 53117 0 2789 300999 0 41180 139365 6759 0 6759 1288 46560 278623 56757 709247 195711 80845 3914 37444 36895 ...

result:

ok 1196 numbers

Test #4:

score: 5
Accepted
time: 190ms
memory: 4364kb

input:

4
4
5000
1 1 1 0
2 1 2 1
1 1 1 0
4 1 1 0
1 1 1 0
3 2 3 2
6 1 2 1
5 1 2 0
8 3 3 1
10 1 3 2
8 2 2 0
11 1 5 4
11 3 5 3
13 4 5 3
12 3 3 1
16 1 5 1
13 4 5 5
18 1 5 5
17 1 6 5
17 1 5 4
20 5 7 4
19 1 1 7
23 1 8 3
23 4 6 4
23 8 9 7
24 3 4 2
27 3 6 3
28 5 8 9
26 1 4 4
27 3 10 8
28 8 11 9
31 4 6 3
31 10 10 2
...

output:

3 2 1 2 41 1 40 3 118 117 207 34 42 81 166 332 33 33 2 41 82 33 3462 235 42 3244 221 0 0 2957 121 99 6338 2342 40 1974 6298 375 11832 39000 0 18301 22749 1315 5762 0 14123 4460 5795 548 0 0 5520 548 33 548 106 9048 0 40 158 0 5137 5137 0 14387 0 30149 9193 2957 160 375 2 82113 375 384 14939 7233 711...

result:

ok 19996 numbers

Test #5:

score: 5
Accepted
time: 190ms
memory: 4328kb

input:

5
4
5000
1 1 1 0
2 2 2 1
3 1 2 2
1 1 1 0
3 1 1 0
4 2 2 3
5 1 1 1
8 3 3 1
8 2 3 2
6 4 4 3
10 2 4 2
10 2 4 2
12 4 5 3
11 2 3 4
11 5 5 1
14 1 3 5
16 1 1 2
15 1 3 0
17 1 4 2
18 3 7 3
21 5 8 6
18 6 7 2
22 1 5 5
24 4 7 4
21 5 7 7
24 2 9 0
26 9 9 2
24 5 9 9
29 8 11 2
30 3 7 4
30 8 9 6
31 5 10 6
30 3 5 4
34...

output:

34 33 0 6 65 0 5 1 4 32 14 7 7 0 265 0 264 97 18 229 95 35 223 362 1 1017 1 26 5427 3593 823 2835 878 132 2209 1314 588 24 1550 429 24 7761 264 0 24 1068 837 0 495 1018 8258 430 194 229 34 7967 324 21377 229 14847 1266 0 583 5055 547 0 45349 4362 6902 90 693 16835 10064 693 54761 4611 37001 10523 58...

result:

ok 19996 numbers

Test #6:

score: 0
Time Limit Exceeded

input:

6
4
100000
1 1 1 0
2 2 2 0
3 2 2 0
4 2 2 0
5 3 3 0
6 3 3 0
7 6 6 0
8 3 3 0
9 5 5 0
10 2 2 0
11 4 4 0
12 6 6 0
13 8 8 0
14 6 6 0
15 2 2 0
16 2 2 0
17 17 17 0
18 5 5 0
19 15 15 0
20 2 2 0
21 14 14 0
22 17 17 0
23 10 10 0
24 23 23 0
25 10 10 0
26 17 17 0
27 23 23 0
28 21 21 0
29 29 29 0
30 7 7 0
31 21 ...

output:


result:


Test #7:

score: 0
Time Limit Exceeded

input:

7
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
1 1 1 0
5 2 2 0
5 2 2 0
7 1 1 0
8 1 1 0
6 1 1 0
7 3 3 0
9 3 3 0
12 2 2 0
10 2 2 0
13 1 1 0
13 4 4 0
13 7 7 0
15 1 1 0
15 7 7 0
16 7 7 0
19 1 1 0
18 8 8 0
19 2 2 0
23 1 1 0
23 5 5 0
24 8 8 0
23 6 6 0
27 3 3 0
28 4 4 0
26 12 12 0
29 6 6 0
30 1 1 0
31 12 12 0
30 9 9 0...

output:


result:


Test #8:

score: 0
Time Limit Exceeded

input:

8
4
100000
1 1 1 0
2 2 2 0
3 2 2 1
4 2 2 2
5 3 3 0
6 6 6 2
7 1 1 6
8 8 8 2
9 1 1 6
10 2 2 3
11 4 4 2
12 6 6 5
13 2 2 11
14 1 1 6
15 7 7 4
16 7 7 3
17 14 14 15
18 12 12 12
19 17 17 3
20 20 20 11
21 5 5 7
22 12 12 3
23 14 14 10
24 3 3 1
25 23 23 10
26 5 5 18
27 5 5 25
28 18 18 1
29 2 2 14
30 23 23 3
3...

output:


result:


Test #9:

score: 0
Time Limit Exceeded

input:

9
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
3 1 1 0
4 2 2 1
6 2 2 2
6 1 1 2
8 3 3 2
9 1 1 4
8 4 4 0
9 4 4 0
12 6 6 3
13 3 3 4
13 6 6 3
15 5 5 0
15 2 2 7
15 4 4 2
17 5 5 2
18 5 5 0
18 4 4 6
19 2 2 8
22 8 8 9
23 3 3 10
24 6 6 12
25 7 7 13
24 1 1 11
27 3 3 7
27 12 12 2
28 4 4 0
30 3 3 9
31 15 15 15
32 1 1 7
31 ...

output:


result:


Test #10:

score: 0
Time Limit Exceeded

input:

10
4
100000
1 1 1 0
2 1 1 0
3 3 3 0
4 3 4 0
5 3 5 0
6 1 4 0
7 5 5 0
8 5 7 0
9 3 6 0
10 6 10 0
11 1 2 0
12 8 11 0
13 4 12 0
14 2 12 0
15 7 10 0
16 6 8 0
17 13 15 0
18 8 9 0
19 2 6 0
20 8 14 0
21 3 18 0
22 11 18 0
23 5 11 0
24 6 12 0
25 3 24 0
26 13 23 0
27 3 8 0
28 14 22 0
29 4 26 0
30 1 5 0
31 13 17...

output:


result:


Test #11:

score: 0
Time Limit Exceeded

input:

11
4
100000
1 1 1 0
2 1 2 0
3 1 2 0
3 1 2 0
5 3 4 0
5 1 3 0
5 2 3 0
8 1 3 0
9 2 5 0
10 3 5 0
11 4 6 0
10 1 3 0
11 6 8 0
13 4 8 0
13 2 7 0
14 1 3 0
17 3 8 0
17 5 7 0
19 10 11 0
19 1 2 0
20 5 12 0
22 12 12 0
22 8 10 0
23 6 14 0
23 2 8 0
25 2 9 0
27 6 9 0
26 9 15 0
29 3 10 0
30 9 9 0
30 12 13 0
32 14 1...

output:


result:


Test #12:

score: 0
Time Limit Exceeded

input:

12
4
100000
1 1 1 0
2 1 2 0
3 2 3 0
4 1 3 0
2 1 1 0
4 2 2 0
3 1 2 0
8 1 4 0
8 1 3 0
5 2 5 0
9 1 4 0
10 3 5 0
11 1 6 0
11 3 6 0
11 3 3 0
14 2 6 0
17 3 7 0
14 2 4 0
14 4 6 0
18 2 8 0
18 6 9 0
21 8 10 0
22 5 5 0
20 6 8 0
22 1 4 0
24 3 9 0
26 3 8 0
25 3 3 0
24 6 7 0
25 5 9 0
27 2 9 0
32 4 6 0
32 9 11 0
...

output:


result:


Test #13:

score: 0
Time Limit Exceeded

input:

13
4
100000
1 1 1 0
2 1 2 1
3 1 2 2
4 1 3 2
5 1 5 4
6 1 4 4
7 6 6 1
8 3 7 5
9 3 4 4
10 5 6 2
11 6 9 4
12 5 11 9
13 1 3 4
14 6 10 10
15 4 6 8
16 3 8 6
17 1 9 3
18 3 13 8
19 3 11 10
20 2 4 11
21 12 13 0
22 13 17 20
23 9 17 1
24 10 11 16
25 22 25 9
26 5 9 4
27 12 27 26
28 13 13 22
29 8 23 1
30 21 23 19...

output:


result:


Test #14:

score: 0
Time Limit Exceeded

input:

14
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
4 1 2 1
1 1 1 0
5 1 1 2
6 1 1 0
6 2 2 1
5 2 3 2
5 1 2 1
7 2 2 1
8 1 2 1
11 2 4 1
11 4 4 2
15 2 4 0
13 1 3 3
15 1 3 3
18 2 4 4
16 2 5 5
16 4 4 0
18 6 6 4
22 4 4 5
18 2 5 5
20 5 6 5
24 1 6 4
25 5 6 2
22 3 4 1
28 3 7 0
25 2 4 4
29 1 6 4
27 3 8 0
28 5 5 7
30 2 3 1
33 ...

output:


result:


Test #15:

score: 0
Time Limit Exceeded

input:

15
4
100000
1 1 1 0
1 1 1 0
2 1 2 0
1 1 1 0
4 1 3 1
3 2 2 1
5 1 2 0
5 2 2 1
7 2 3 1
9 1 2 0
9 2 3 0
8 1 2 1
9 1 2 0
10 3 3 2
11 2 3 1
13 2 3 3
15 3 5 4
14 4 4 2
16 2 4 0
20 4 5 5
18 1 6 4
21 2 5 6
19 4 5 4
23 3 7 4
23 3 5 0
25 3 3 8
26 4 8 8
26 3 7 6
28 6 9 5
26 6 9 2
29 8 9 7
29 6 10 1
31 4 4 5
34 ...

output:


result:


Test #16:

score: 0
Time Limit Exceeded

input:

16
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
1 1 1 0
5 2 2 1
5 1 1 0
5 1 2 1
4 1 2 0
7 1 2 2
6 1 2 0
7 2 3 0
12 1 4 0
11 1 1 2
13 1 4 0
14 3 3 4
12 1 4 0
16 2 2 1
18 1 7 5
19 6 6 5
20 4 5 1
17 2 5 4
22 1 3 4
23 1 3 3
21 5 5 9
22 3 4 3
24 1 7 3
23 2 5 1
27 2 5 4
25 2 8 7
29 6 7 3
27 5 9 6
30 10 11 6
30 1 2 3
...

output:


result:


Test #17:

score: 0
Time Limit Exceeded

input:

17
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
2 1 1 0
2 1 2 1
4 1 1 0
3 1 2 1
7 2 3 0
8 3 3 0
6 1 3 0
9 2 3 0
8 1 3 1
9 3 4 2
11 3 4 3
13 2 3 0
12 4 5 4
16 1 2 1
15 1 2 2
19 2 5 5
16 3 5 4
19 1 4 5
21 3 4 5
23 3 5 0
21 1 6 1
23 3 3 2
25 1 2 2
26 1 3 0
26 5 6 6
27 2 4 3
28 1 5 8
31 2 3 5
29 3 7 1
32 7 10 10
32...

output:


result:


Test #18:

score: 0
Time Limit Exceeded

input:

18
4
100000
1 1 1 0
1 1 1 0
3 1 2 1
2 1 2 0
2 2 2 0
5 1 3 1
6 1 1 1
6 2 3 2
6 1 3 2
9 1 4 1
10 2 3 1
12 1 3 0
10 1 4 2
11 2 5 0
12 4 5 1
14 2 4 1
15 5 6 2
16 4 5 5
18 3 3 5
18 1 6 4
18 3 4 4
21 2 4 3
21 4 7 4
23 7 9 3
23 1 5 3
25 3 5 3
26 5 6 2
25 1 7 4
29 3 4 6
30 4 11 2
29 1 3 3
29 1 5 6
32 9 12 0...

output:


result:


Test #19:

score: 0
Time Limit Exceeded

input:

19
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
2 1 2 1
2 2 2 0
3 1 1 1
4 1 1 0
8 1 3 0
7 2 2 0
8 2 2 2
8 1 1 1
11 2 4 3
13 1 3 2
13 1 3 1
12 1 2 0
15 2 5 1
16 4 5 0
18 4 5 3
17 2 4 0
19 3 6 5
21 4 8 2
21 2 6 4
23 7 8 6
22 1 4 3
22 1 3 2
24 1 8 1
25 5 5 1
26 3 3 2
26 1 10 5
30 8 9 0
29 3 5 2
29 3 6 0
31 4 7 10
...

output:


result:


Test #20:

score: 0
Time Limit Exceeded

input:

20
4
100000
1 1 1 0
1 1 1 0
1 1 1 0
3 1 2 1
5 1 1 0
4 1 2 1
5 1 1 2
8 4 4 0
8 1 2 3
10 3 4 0
11 5 5 3
10 3 4 2
11 2 3 3
12 1 7 6
14 1 2 1
15 5 8 3
15 1 2 6
17 5 8 4
17 3 4 0
18 7 9 6
20 1 10 2
21 1 4 9
22 1 9 9
23 3 8 6
25 3 7 8
24 2 7 6
27 1 9 8
27 12 12 8
29 3 11 3
30 2 6 4
31 6 14 8
30 6 8 3
33 8...

output:


result: