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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
#656993#9489. 0100 Insertionucup-team008#AC ✓1651ms19000kbC++178.4kb2024-10-19 14:01:002024-10-19 14:01:01

Judging History

你现在查看的是最新测评结果

  • [2024-10-19 14:01:01]
  • 评测
  • 测评结果:AC
  • 用时:1651ms
  • 内存:19000kb
  • [2024-10-19 14:01:00]
  • 提交

answer

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <vector>

using namespace std;

// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(0) cerr
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
 
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << flush;
// END NO SAD

template<class Fun>
class y_combinator_result {
  Fun fun_;
public:
  template<class T>
  explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

  template<class ...Args>
  decltype(auto) operator()(Args &&...args) {
    return fun_(std::ref(*this), std::forward<Args>(args)...);
  }
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
  return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

template<class T>
bool updmin(T& a, T b) {
  if(b < a) {
    a = b;
    return true;
  }
  return false;
}
template<class T>
bool updmax(T& a, T b) {
  if(b > a) {
    a = b;
    return true;
  }
  return false;
}
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

struct barrett_reduction {
    unsigned mod;
    uint64_t div;
 
    barrett_reduction(unsigned m) : mod(m), div(-1LLU / m) {}
 
    unsigned operator()(uint64_t a) const {
#ifdef __SIZEOF_INT128__
        uint64_t q = uint64_t(__uint128_t(div) * a >> 64);
        uint64_t r = a - q * mod;
        return unsigned(r < mod ? r : r - mod);
#endif
        return unsigned(a % mod);
    }
};
 
template<const int &MOD, const barrett_reduction &barrett>
struct _b_int {
    int val;
 
    _b_int(int64_t v = 0) {
        if (v < 0) v = v % MOD + MOD;
        if (v >= MOD) v %= MOD;
        val = int(v);
    }
 
    _b_int(uint64_t v) {
        if (v >= uint64_t(MOD)) v %= MOD;
        val = int(v);
    }
 
    _b_int(int v) : _b_int(int64_t(v)) {}
    _b_int(unsigned v) : _b_int(uint64_t(v)) {}
 
    static int inv_mod(int a, int m = MOD) {
        // https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Example
        int g = m, r = a, x = 0, y = 1;
 
        while (r != 0) {
            int q = g / r;
            g %= r; swap(g, r);
            x -= q * y; swap(x, y);
        }
 
        return x < 0 ? x + m : x;
    }
 
    explicit operator int() const { return val; }
    explicit operator unsigned() const { return val; }
    explicit operator int64_t() const { return val; }
    explicit operator uint64_t() const { return val; }
    explicit operator double() const { return val; }
    explicit operator long double() const { return val; }
 
    _b_int& operator+=(const _b_int &other) {
        val -= MOD - other.val;
        if (val < 0) val += MOD;
        return *this;
    }
 
    _b_int& operator-=(const _b_int &other) {
        val -= other.val;
        if (val < 0) val += MOD;
        return *this;
    }
 
    static unsigned fast_mod(uint64_t x) {
#if !defined(_WIN32) || defined(_WIN64)
        return barrett(x);
#endif
        // Optimized mod for Codeforces 32-bit machines.
        // x must be less than 2^32 * MOD for this to work, so that x / MOD fits in an unsigned 32-bit int.
        unsigned x_high = unsigned(x >> 32), x_low = unsigned(x);
        unsigned quot, rem;
        asm("divl %4\n"
            : "=a" (quot), "=d" (rem)
            : "d" (x_high), "a" (x_low), "r" (MOD));
        return rem;
    }
 
    _b_int& operator*=(const _b_int &other) {
        val = fast_mod(uint64_t(val) * other.val);
        return *this;
    }
 
    _b_int& operator/=(const _b_int &other) {
        return *this *= other.inv();
    }
 
    friend _b_int operator+(const _b_int &a, const _b_int &b) { return _b_int(a) += b; }
    friend _b_int operator-(const _b_int &a, const _b_int &b) { return _b_int(a) -= b; }
    friend _b_int operator*(const _b_int &a, const _b_int &b) { return _b_int(a) *= b; }
    friend _b_int operator/(const _b_int &a, const _b_int &b) { return _b_int(a) /= b; }
 
    _b_int& operator++() {
        val = val == MOD - 1 ? 0 : val + 1;
        return *this;
    }
 
    _b_int& operator--() {
        val = val == 0 ? MOD - 1 : val - 1;
        return *this;
    }
 
    _b_int operator++(int) { _b_int before = *this; ++*this; return before; }
    _b_int operator--(int) { _b_int before = *this; --*this; return before; }
 
    _b_int operator-() const {
        return val == 0 ? 0 : MOD - val;
    }
 
    friend bool operator==(const _b_int &a, const _b_int &b) { return a.val == b.val; }
    friend bool operator!=(const _b_int &a, const _b_int &b) { return a.val != b.val; }
    friend bool operator<(const _b_int &a, const _b_int &b) { return a.val < b.val; }
    friend bool operator>(const _b_int &a, const _b_int &b) { return a.val > b.val; }
    friend bool operator<=(const _b_int &a, const _b_int &b) { return a.val <= b.val; }
    friend bool operator>=(const _b_int &a, const _b_int &b) { return a.val >= b.val; }
 
    _b_int inv() const {
        return inv_mod(val);
    }
 
    _b_int pow(int64_t p) const {
        if (p < 0)
            return inv().pow(-p);
 
        _b_int a = *this, result = 1;
 
        while (p > 0) {
            if (p & 1)
                result *= a;
 
            p >>= 1;
 
            if (p > 0)
                a *= a;
        }
 
        return result;
    }
 
    friend ostream& operator<<(ostream &os, const _b_int &m) {
        return os << m.val;
    }
 
    friend istream& operator>>(istream &is, _b_int &m) {
        int64_t x;
        is >> x;
        m = x;
        return is;
    }
};
 
int MOD = 998244353;
barrett_reduction barrett(MOD);
using mnum = _b_int<MOD, barrett>;
void solve() {
  int n;
  string s;
  cin >> n >> s;
  reverse(all(s));
  vector<vector<array<mnum, 2>>> dp(4*n); // <sum, min, lhs>
  for(auto& x: dp) {
    x.resize(n+1);
  }
  dp[3*n][n][0] = 1;
  for(int i = 0; i < n; i++) {
    vector<vector<array<mnum, 2>>> ndp(4*n+1);
    for(auto& x: ndp) x.resize(n+1);
    for(int a = 0; a < sz(dp); a++) for(int b = 0; b < sz(dp[a]); b++) for(int c = 0; c < sz(dp[a][b]); c++) {
      if(dp[a][b][c] == 0) continue;
      for(int x = 0; x < 2; x++) {
        if(s[i] != '?' && s[i]-'0' != x) continue;
        if(x == 1 && c == 1) continue;
        if(x == 1 && i <= 1) continue;
        if(x == 1 && i == n-1) continue;
        int na = a + (x == 0 ? 1 : -3);
        int nb = min(b, na-2*n);
        if(b-nb >= 2) continue;
        if(na < 0 || na >= 4*n+1) continue;
        if(nb < 0 || nb > n) continue;
        ndp[na][nb][x] += dp[a][b][c];
      }
    }
    dp.swap(ndp);
  }
  mnum ret = 0;
  for(int a = 0; a <= n; a++) ret += dp[3*n][a][0];
  cout << ret << "\n";
}

// what would chika do
// are there edge cases?
// did you actually sort the thing instead of just thinking it?
// integer overflow?

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  solve();
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3604kb

input:

8
0??0?100

output:

2

result:

ok "2"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

4
?10?

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

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

output:

2023

result:

ok "2023"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

4
????

output:

1

result:

ok "1"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

8
11111111

output:

0

result:

ok "0"

Test #6:

score: 0
Accepted
time: 1649ms
memory: 18904kb

input:

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

output:

870731023

result:

ok "870731023"

Test #7:

score: 0
Accepted
time: 1651ms
memory: 18880kb

input:

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

output:

763641704

result:

ok "763641704"

Test #8:

score: 0
Accepted
time: 534ms
memory: 10820kb

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: 48ms
memory: 4660kb

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: 134ms
memory: 6244kb

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: 419ms
memory: 9500kb

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: 515ms
memory: 10440kb

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: 790ms
memory: 12932kb

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: 10ms
memory: 3924kb

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: 25ms
memory: 4312kb

input:

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

output:

717954632

result:

ok "717954632"

Test #16:

score: 0
Accepted
time: 289ms
memory: 8172kb

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: 237ms
memory: 7580kb

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: 1648ms
memory: 19000kb

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: 1619ms
memory: 18880kb

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: 1650ms
memory: 18876kb

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: 7ms
memory: 3928kb

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: 1ms
memory: 3848kb

input:

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

output:

587

result:

ok "587"

Test #23:

score: 0
Accepted
time: 7ms
memory: 3924kb

input:

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

output:

83575746

result:

ok "83575746"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

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

output:

859

result:

ok "859"

Test #25:

score: 0
Accepted
time: 2ms
memory: 3664kb

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: 1144ms
memory: 15632kb

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: 1487ms
memory: 17876kb

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: 1210ms
memory: 16360kb

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: 1488ms
memory: 17820kb

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: 1178ms
memory: 15896kb

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: 1453ms
memory: 17560kb

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: 1577ms
memory: 18404kb

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: 1242ms
memory: 16348kb

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: 1181ms
memory: 16684kb

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: 1236ms
memory: 16296kb

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