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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#681344#9489. 0100 Insertionnhuang685AC ✓89ms4956kbC++238.2kb2024-10-27 05:38:452024-10-27 05:38:46

Judging History

你现在查看的是最新测评结果

  • [2024-10-27 05:38:46]
  • 评测
  • 测评结果:AC
  • 用时:89ms
  • 内存:4956kb
  • [2024-10-27 05:38:45]
  • 提交

answer

/**
 * @author n685
 * @brief
 * @date 2024-10-26 16:22:15
 *
 *
 */
#include <algorithm>

#include "bits/stdc++.h"

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

namespace rs = std::ranges;
namespace rv = std::views;

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>>;

template <class T> struct NArr {
  using iterator = std::vector<T>::iterator;
  using const_iterator = std::vector<T>::const_iterator;
  int sz{0}, off{0};
  std::vector<T> data;
  NArr() = default;
  NArr(int l, int r) : sz(r - l + 1), off(l), data(sz) {}
  NArr(int l, int r, const T& v) : sz(r - l + 1), off(l), data(sz, v) {}
  T& operator[](int ind) { return data[ind - off]; }
  const T& operator[](int ind) const { return data[ind - off]; }
  iterator begin() { return data.begin(); }
  const_iterator begin() const { return data.begin(); }
  iterator end() { return data.end(); }
  const_iterator end() const { return data.end(); }
  void swap(NArr& other) noexcept {
    std::swap(sz, other.sz);
    std::swap(off, other.off);
    data.swap(other.data);
  }
};

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

  int n;
  std::cin >> n;
  n /= 4;
  std::vector<char> s(4 * n);
  for (int i = 4 * n - 1; i >= 0; --i) {
    char c;
    std::cin >> c;
    s[i] = c;
  }
  NArr id(-n, 3 * n, NArr<std::array<Mint, 2>>(-n, 0));
  std::array<NArr<NArr<std::array<Mint, 2>>>, 2> dp;
  dp.fill(id);
  dp[0][0][0][0] = Mint::ONE;
  for (int i = 0; i < 4 * n; ++i) {
    for (int pre = -n; pre <= 3 * n; ++pre) {
      for (int mi = -n; mi <= std::min(0, pre); ++mi) {
        for (int last : {0, 1}) {
          if (dp[0][pre][mi][last] == Mint::ZERO) {
            continue;
          }
          // add 1 (0)
          if (s[i] != '1' && pre + 1 <= 3 * n) {
            dp[1][pre + 1][mi][0] += dp[0][pre][mi][last];
          }
          // subtract 3 (1)
          if (s[i] != '0' && last != 1 && pre - 3 >= std::max(-n, mi - 1)) {
            dp[1][pre - 3][std::min(pre - 3, mi)][1] += dp[0][pre][mi][last];
          }
        }
      }
    }
    dp[0].swap(dp[1]);
    dp[1] = id;
  }
  Mint ans{0};
  for (int mi = -n; mi <= 0; ++mi) {
    ans += dp[0][0][mi][0];
  }
  std::cout << ans << '\n';
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3520kb

input:

8
0??0?100

output:

2

result:

ok "2"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

4
?10?

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

28
???????????0???0??????1???0?

output:

2023

result:

ok "2023"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

4
????

output:

1

result:

ok "1"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

8
11111111

output:

0

result:

ok "0"

Test #6:

score: 0
Accepted
time: 84ms
memory: 4956kb

input:

500
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????...

output:

870731023

result:

ok "870731023"

Test #7:

score: 0
Accepted
time: 89ms
memory: 4932kb

input:

500
???????????????????0???????????????????????????????????????0??????????????????????1???????????????????????????????????????00????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????1???????????????????????????????????...

output:

763641704

result:

ok "763641704"

Test #8:

score: 0
Accepted
time: 23ms
memory: 4440kb

input:

344
?0???????????1???????0?0?????0?????????????0?0????0?0??1??0?????0??0???1?????0????00?????1?????1????????1?????10????0??????????1????0???1????????0???10?????1?0?0???1??????????0??0???1?0??00??0???????001????????1????1??????1?0????1??????????????????1????1????????????0???????????01?1??????0?0?????...

output:

273835616

result:

ok "273835616"

Test #9:

score: 0
Accepted
time: 3ms
memory: 3756kb

input:

152
?1???1??????????????????00??????????0?????0????????0??1?????0????0????????0????010???????????????1??1??????0?10??1????0???????????????1?????0???1???????

output:

539361138

result:

ok "539361138"

Test #10:

score: 0
Accepted
time: 7ms
memory: 4140kb

input:

216
???????1?????1??1????1???1?????????????0?1???????????????????????????????????????????????1?????????????????10???0???1???????????????????????1????????????0???????0??????0?????????1???????????????????????1?????????0???

output:

336079328

result:

ok "336079328"

Test #11:

score: 0
Accepted
time: 22ms
memory: 4104kb

input:

316
??????00?????????????????????1??????????????????0?????????????????0??0??????0???1??1?????????0??????????????????????0?????????0?0?1??0?????1?1??????1?1?????????????????????????????????0??????????????????????10???????1???????????1?????????????1????1????????????0????????????????1????1???0??0??1???...

output:

919261244

result:

ok "919261244"

Test #12:

score: 0
Accepted
time: 25ms
memory: 4436kb

input:

340
?0?001??1?0????1?????1???01?????????1??01??0???1???1?????????????0?1??????1??1?10??0????????10?????1????1?010???1?????????????1???????1????01???????1???????00???1?0?00??0????????00???0??????1??1?1?????10??1????0??1????1????0????????0????0??????00?0??00???1??001????????0?1?????????????????0???1??...

output:

743485908

result:

ok "743485908"

Test #13:

score: 0
Accepted
time: 41ms
memory: 4536kb

input:

392
??????0??????????10???????????????????????1????????1???????0???????????0??????????????101???????????????????????0??????????0??0??????????1?????1???????????????????1?0?????????????1???????????????????????1????????0???0?????1????????????????0??????1?????????????0????????????????0?????????????????1...

output:

213859453

result:

ok "213859453"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

96
????????0??1??1??????????????????????????1?0?????0??????1?????????1?0?????00??????????1???1?????

output:

860127276

result:

ok "860127276"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

116
???????????????????????????????01?1???????????????0?00????0?????????????????1?0?????????????????1???????????????00??

output:

717954632

result:

ok "717954632"

Test #16:

score: 0
Accepted
time: 15ms
memory: 4092kb

input:

280
?????1????0??0??????1????????0????0?1?0????????00???0???????0????0???????????1?0?1???????????1?????10????1??????100??????????1?1?????01?1??????0????01??1???1?????0????????0?1?0???????????01??00??????1?????????????????1?1?????????1????????????????0????????????????????????0????????

output:

553679844

result:

ok "553679844"

Test #17:

score: 0
Accepted
time: 12ms
memory: 3988kb

input:

260
????????0????0???????????????1???????0?00??0???????????????0??????0?????1?????????????????????????????????????0???????1????????0??????????????????????1???????????????????1?0????1???????00?0????10???????????0?1?10??????????????????0??0???????1???????1??1???????

output:

121486637

result:

ok "121486637"

Test #18:

score: 0
Accepted
time: 81ms
memory: 4800kb

input:

500
??0????1???1??????1?1??????????????????????????????????0??0??????????????????????1???????01????????0???0???????????????????????1????????1??????????????1????????0?1???0?????0???????????????????0??????????????1????????0???????0?0??????????????0???????1???????1??????????????????????????0????0??????...

output:

397451125

result:

ok "397451125"

Test #19:

score: 0
Accepted
time: 82ms
memory: 4696kb

input:

500
??????1???????????????????0????????????????????????0??????0???????????1??????????10???0???0?????????????1??1????????0??????1???????????00????????????0???????????????????1??0???0????0?????????????0?????????????????????????????????????0????0??????????1??????????????????????????????????????????????...

output:

248838567

result:

ok "248838567"

Test #20:

score: 0
Accepted
time: 82ms
memory: 4708kb

input:

500
?0??0????1???????????????????????????1????????????????????0????????1????????????????1????0?????????????1???????????1?0????????????????????0?????????????0????0????????????1????????1????????????????0???0?1???1???1???????????1?????1???0??????????1????????1?????1???0?1???????????1???????????????????...

output:

53824210

result:

ok "53824210"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

76
????0????????0??0???1??0??????00?0????0???1??????1?0????0?1?????????????1???

output:

205686585

result:

ok "205686585"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3416kb

input:

24
?0?0?????0??????????????

output:

587

result:

ok "587"

Test #23:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

76
?????0?????????????????0????????????????????????????1???0???????????????????

output:

83575746

result:

ok "83575746"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

28
00???0???0?0??0???0???0?????

output:

859

result:

ok "859"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

44
?00??1???00??1???0??1?100??1?0???0??1???0???

output:

63

result:

ok "63"

Test #26:

score: 0
Accepted
time: 58ms
memory: 4424kb

input:

444
???0???0???????????????1?????1??????0?????1??????1??????????10?1???????????????????????????????1?1??00?0??0????0??????????1???????101?0????10??????????????0?0???????1???????????????1????????0?????????1????????????1???0??????????????????????????0??????1??????????0???10??1???????????01????????????...

output:

847293915

result:

ok "847293915"

Test #27:

score: 0
Accepted
time: 70ms
memory: 4728kb

input:

484
?????1?1???????????1?????1??????????0?1???????????1?????0?1???0000?1?1?0?00????1????0?0?00?????????????????????1????????1?01??????01??1?????0??????0???000?????????1????????0?1??01?????0???1???0?????1???0???????0?????1?1?0??0???????01????????0???1???0??0???0?????????????????1??????1???10??1010???...

output:

679474848

result:

ok "679474848"

Test #28:

score: 0
Accepted
time: 61ms
memory: 4776kb

input:

456
?????0???????????????0?????1???????0???1??????????????????1??????1?????????????1??????1??????????0??????????????1????????????????????1??????????1???0???0??1???1????????00??0?????1???0?????????????1?0??1??1?1???0???1????????????0???????????????0?0??0?????0????????01?????????????????????????????10...

output:

920943116

result:

ok "920943116"

Test #29:

score: 0
Accepted
time: 73ms
memory: 4640kb

input:

484
????????????????????????????????0????1???1???????1????????1?????????0?????1??1??????????????????????1???????01???????????????????1??1???????????????1?1?0?0??1????????1??1???????????????????????????0?????????????0?????????????1????0??????1?????????0?0??????????1????????????1??????????????????????...

output:

453361220

result:

ok "453361220"

Test #30:

score: 0
Accepted
time: 56ms
memory: 4748kb

input:

448
?1?01??1????01?10????1???0????????????10????0??????1????1??????1?????1?0??1????101?1????1??????????????0?????1???0???????01?0?1?1????1???1?01?????????????0?1???1???01????0???????????????1??????01?1??????1?1?1??0???0?????????1????????1??1?0?1?0???????????????1?????1???0?0?????0????0??0???????????...

output:

84175678

result:

ok "84175678"

Test #31:

score: 0
Accepted
time: 73ms
memory: 4628kb

input:

480
?0?????????????????????0???00???1???0?????1?????????1??????????1?????1????????0??????????1????0???10?????????1????1????0?????0???01??????????0?????0???0?????????0???????01??????????????0????????0?????1????1?0??0?0????????????????1???1??01????????????1????0??????0??????1??1???????????????????????...

output:

247404334

result:

ok "247404334"

Test #32:

score: 0
Accepted
time: 77ms
memory: 4776kb

input:

492
??????00??????0??0??????????1???1?1?010????????????????????00???1???0?????0???????1?????????0???????1?????????????1???10???0?????????????????0??????????????0??????1???0????0?0???0??100?0?????????1??1????1???????????1????1??0?????????00??????1??1??????1????01?1?0??????0???????1????????????1??0???...

output:

487405442

result:

ok "487405442"

Test #33:

score: 0
Accepted
time: 61ms
memory: 4476kb

input:

456
????1???????????1???1????0????????????????????????????????????1???????0?????1???1?1??????????????????????????1?????????1?00??????????10?0????????????1??????????1?0????????1?1?????????????????0??????0???????1???????????????????????????0????????0??????1??????????0??1???????????????????????????????...

output:

884555628

result:

ok "884555628"

Test #34:

score: 0
Accepted
time: 66ms
memory: 4548kb

input:

460
??????1????1??????????0??0?????????????????0?????0???????????1?????????????1???????????01???????0????????????0???0???????????????????????????1???0????0??????????0??0??????1????0???????????????01?????????????0???????????????????????????????1????0????0????1??????1???????1???0??????????????????????...

output:

244536851

result:

ok "244536851"

Test #35:

score: 0
Accepted
time: 55ms
memory: 4628kb

input:

456
???????1?1????????????????00??????????1??1?0???????0??????0??????????0??1?????0??1???0?1??1?1?1???00?10?0???01??????????????0???01?0??000?1????1????????0????1?1????1???01???0?????1?0??????????1???0???1?1??????????01???1?????0???????0?1????1???1?0??0????1????0?0??1????????????0???0?????0??????01?...

output:

890392505

result:

ok "890392505"

Extra Test:

score: 0
Extra Test Passed