QOJ.ac

QOJ

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
#183173#4900. 数列重排hos_lyric#30 15ms13784kbC++146.0kb2023-09-19 08:28:342024-07-04 02:04:30

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 02:04:30]
  • 评测
  • 测评结果:30
  • 用时:15ms
  • 内存:13784kb
  • [2023-09-19 08:28:34]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")

////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
  static constexpr unsigned M = M_;
  unsigned x;
  constexpr ModInt() : x(0U) {}
  constexpr ModInt(unsigned x_) : x(x_ % M) {}
  constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
  constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////

constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;


int M, L, R;
Int X, N;
char S[10'000'010];


namespace brute {
vector<Int> run() {
  vector<int> as;
  for (int a = 0; a < M; ++a) {
    for (int x = 0; x < X + (S[a] - '0'); ++x) {
      as.push_back(a);
    }
  }
  vector<Int> ans(M + 1, 0);
  vector<vector<int>> opt(M + 1);
  do {
    vector<Int> cnt(M + 1, 0);
    for (int i = 0; i < N; ++i) {
      int app = 0;
      for (int j = i; j < N; ++j) {
        app |= 1 << as[j];
        ++cnt[__builtin_ctz(~app)];
      }
    }
    for (int k = M; --k >= 0; ) {
      cnt[k] += cnt[k + 1];
    }
    for (int k = L; k <= R; ++k) {
      if (chmax(ans[k], cnt[k])) {
        opt[k] = as;
      }
    }
  } while (next_permutation(as.begin(), as.end()));
for(int k=L;k<=R;++k)cerr<<k<<": "<<ans[k]<<"; "<<opt[k]<<endl;
  return ans;
}
}  // brute


namespace sub4 {
vector<Int> run() {
  vector<Int> ans(M + 1, 0);
  ans[0] = N * (N + 1) / 2;
  ans[1] = N * (N + 1) / 2 - ((1 < M) ? (X + (S[1] - '0')) : 0);
  return ans;
}
}  // sub4


namespace sub5 {
vector<Int> run() {
  vector<Int> ans(M + 1, 0);
  ans[M] = N * (N + 1) / 2;
  for (int i = 1; i < M; ++i) {
    ans[M] -= (N + 1 - i);
  }
  return ans;
}
}  // sub5


namespace sub6 {
vector<Int> run() {
  vector<Int> ans(M + 1, 0);
  for (int k = L; k <= R; ++k) {
    if (k) {
      const Int nL = (N - k) / 2;
      const Int nR = (N - k) - nL;
      ans[k] = (nL + 1) * (nR + 1);
    } else {
      ans[k] = N * (N + 1) / 2;
    }
  }
  return ans;
}
}  // sub6


int main() {
  for (; ~scanf("%d%d%d%lld", &M, &L, &R, &X); ) {
    scanf("%s", S);
    N = M * X + count(S, S + M, '1');
cerr<<"M = "<<M<<", N = "<<N<<endl;
    
    vector<Int> ans;
    if (M <= 2 && L == 0 && R == 1) {
cerr<<"sub4"<<endl;
      ans = sub4::run();
    } else if (L == M && R == M) {
cerr<<"sub5"<<endl;
      ans = sub5::run();
    } else if (N == M) {
cerr<<"sub6"<<endl;
      ans = sub6::run();
    } else if (N <= 9) {
cerr<<"brute"<<endl;
      ans = brute::run();
    } else {
      assert(false);
    }
cerr<<"ans = "<<ans<<endl;
    
    unsigned key = 0;
    Mint wt = Mint(233).pow(L);
    for (int k = L; k <= R; ++k) {
      key ^= (wt * ans[k]).x;
      wt *= 233;
    }
    printf("%u\n", key);
  }
  return 0;
}

详细

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 1ms
memory: 3800kb

input:

2 0 2 2
01

output:

541257

result:

ok 1 number(s): "541257"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

4 1 4 2
00001

output:

525797597

result:

ok 1 number(s): "525797597"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

9 0 9 1
000000000

output:

711136343

result:

ok 1 number(s): "711136343"

Test #4:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

1 0 1 9
0

output:

10456

result:

ok 1 number(s): "10456"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3776kb

input:

2 1 2 3
11


output:

1518844

result:

ok 1 number(s): "1518844"

Subtask #2:

score: 0
Runtime Error

Dependency #1:

100%
Accepted

Test #6:

score: 0
Runtime Error

input:

21 0 21 9
111010011100100100000

output:


result:


Subtask #3:

score: 0
Skipped

Dependency #2:

0%

Subtask #4:

score: 5
Accepted

Test #14:

score: 5
Accepted
time: 1ms
memory: 3884kb

input:

2 0 1 114514
10

output:

934764137

result:

ok 1 number(s): "934764137"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

2 0 1 1919810
01

output:

685371514

result:

ok 1 number(s): "685371514"

Test #16:

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

input:

2 0 1 500000000
00

output:

318651831

result:

ok 1 number(s): "318651831"

Subtask #5:

score: 10
Accepted

Test #17:

score: 10
Accepted
time: 6ms
memory: 13784kb

input:

1000000 1000000 1000000 928
01100010010000000101111110001111011101111000011110100101011110011001001000011000110101101100111110000100101010111001111100010011100110000000111110110100001100000000011101100001010001010000010000001001000110011111010101111100001001110110010100000011000010010001111010011100...

output:

437299311

result:

ok 1 number(s): "437299311"

Test #18:

score: 0
Accepted
time: 1ms
memory: 4108kb

input:

100 100 100 10000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

output:

119118463

result:

ok 1 number(s): "119118463"

Subtask #6:

score: 10
Accepted

Test #19:

score: 10
Accepted
time: 15ms
memory: 13200kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Test #20:

score: 0
Accepted
time: 15ms
memory: 12228kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Subtask #7:

score: 0
Runtime Error

Test #21:

score: 0
Runtime Error

input:

1000000 0 9823 627
01110001011101001100010011100101001011000011011110001101010000000101010111110111110010010001110100101001111000111100011101111001000000100111000010010100010101110110111110100010101010001110111001100011010001111000101010000110010010101110101010111110110001110111111000001110000110011...

output:


result:


Subtask #8:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%

Subtask #9:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%