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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
#848941#9878. A xor B plus Chos_lyricAC ✓2426ms103484kbC++146.4kb2025-01-09 10:53:472025-01-09 10:53:50

Judging History

你现在查看的是最新测评结果

  • [2025-01-09 10:53:50]
  • 评测
  • 测评结果:AC
  • 用时:2426ms
  • 内存:103484kb
  • [2025-01-09 10:53:47]
  • 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 <random>
#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>;


void exper(int A, int B, int C) {
  constexpr int E = 20;
  constexpr int N = 160;
  vector<unsigned> X(N);
  X[0] = A;
  X[1] = B;
  for (int i = 2; i < N; ++i) X[i] = (X[i - 1] ^ X[i - 2]) + C;
  for (int e = 0; e < E; ++e) {
    for (int i = 0; i < N; ++i) printf("%u", X[i] >> e & 1);
    puts("");
  }
  puts("");
  for (int e = 0; e < E; ++e) {
    const int mask = (1 << e) - 1;
    for (int i = 2; i < N; ++i) printf("%u", (((X[i - 1] ^ X[i - 2]) & mask) + (C & mask)) >> e & 1);
    puts("");
  }
  puts("");
}

/*
  x[e][i]: e-th bit
  y[e][i]: carry to x[e][i+2]
  
  x[e][0] = A[e]
  x[e][1] = B[e]
  x[e][i+2] + 2 y[e+1][i] = (x[e][i] XOR x[e][i+1]) + C[e] + y[e][i]
  
  over F_2
    x[e](q) = A[e] + B[e] q + (q+q^2) x[e](q) + C[e] q^2/(1+q) + y[e](q) q^2
    x[e](q) = A[e] 1/(1+q+q^2) + B[e] q/(1+q+q^2) + C[e] q^2/(1+q^3) + y[e](q) q^2/(1+q+q^2)
    y[e+1][i] = C[e] (x[e][i] XOR x[e][i+1]) + C[e] y[e][i] + (x[e][i] + x[e][i+1]) y[e][i]
    y[e] -> y[e+1]: divide by (1+q+q^2), pointwise product
    basis: \alpha^i binom(i,k)  (\alpha in F_4,  0 <= k < 2^e)
    denominator 1/(1+q^3)^(2^e)
    x[e], y[e] have period 3 2^(e-1)
    
    after A[e] = B[e] = C[e] = 0
      x[e](q) = y[e](q) q^2/(1+q+q^2)
        q^2/(1+q+q^2) = 001(101)*
      y[e+1][i] = (x[e][i] + x[e][i+1]) y[e][i]
*/

// constexpr int E = 11;
constexpr int E = 21;

int main() {
  // exper(1, 2, 3);
  // exper(123, 456, 789);
  
  int A, B, C;
  Int N;
  for (; ~scanf("%d%d%d%lld", &A, &B, &C, &N); ) {
    --N;
    
    const int mask = (1 << E) - 1;
    vector<int> xs((3 << E) + 2);
    xs[0] = A;
    xs[1] = B;
    for (int i = 0; i < 3 << E; ++i) xs[i + 2] = ((xs[i] ^ xs[i + 1]) + C) & mask;
    Mint ans = xs[N % (3 << E)];
    
    // { y[e][i] = 1 | 0 <= i < 3 2^e && 0 <= i < N }
    vector<Int> is;
    for (int i = 0; i < 3 << E && i < N; ++i) if (((xs[i] ^ xs[i + 1]) + C) >> E) is.push_back(i);
    Int per = 3 << E;
    Mint two = 1 << E;
    for (; is.size(); ) {
// cerr<<"per = "<<per<<", is = "<<is<<endl;
      int x = 0;
      for (const Int i : is) {
        if ((N - i) % 3 != 1) {
          x ^= ((N - i - 1) / per + 1) & 1;
        }
      }
      ans += two * x;
      vector<Int> iis;
      int now[3] = {};
      for (int h = 0; h < 2; ++h) {
        for (const Int i : is) if (h * per + i < N) {
          if (now[i % 3] ^ now[(i + 1) % 3]) iis.push_back(h * per + i);
          now[i % 3] ^= 1;
          now[(i + 2) % 3] ^= 1;
        }
      }
      chmin(per *= 2, N + 1);
      two *= 2;
      is.swap(iis);
    }
    
    printf("%u\n", ans.x);
  }
  return 0;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 6ms
memory: 27728kb

input:

1 2 3 4

output:

7

result:

ok "7"

Test #2:

score: 0
Accepted
time: 12ms
memory: 28012kb

input:

123 456 789 123456789

output:

567982455

result:

ok "567982455"

Test #3:

score: 0
Accepted
time: 10ms
memory: 27852kb

input:

0 0 0 1000000000000000000

output:

0

result:

ok "0"

Test #4:

score: 0
Accepted
time: 7ms
memory: 27972kb

input:

628 314 157 1

output:

628

result:

ok "628"

Test #5:

score: 0
Accepted
time: 11ms
memory: 27684kb

input:

167 924 167 2

output:

924

result:

ok "924"

Test #6:

score: 0
Accepted
time: 13ms
memory: 27700kb

input:

1048575 1048575 1048575 1000000000000000000

output:

1048575

result:

ok "1048575"

Test #7:

score: 0
Accepted
time: 2340ms
memory: 102944kb

input:

287144 758614 992207 1000000000000000000

output:

638555367

result:

ok "638555367"

Test #8:

score: 0
Accepted
time: 2233ms
memory: 101960kb

input:

442510 534717 936857 1000000000000000000

output:

125005501

result:

ok "125005501"

Test #9:

score: 0
Accepted
time: 2364ms
memory: 103260kb

input:

507590 985947 1025549 999999999999999833

output:

363289377

result:

ok "363289377"

Test #10:

score: 0
Accepted
time: 2426ms
memory: 102096kb

input:

989414 986755 1024915 1000000000000000000

output:

176552525

result:

ok "176552525"

Test #11:

score: 0
Accepted
time: 1942ms
memory: 97016kb

input:

773910 981383 748815 999999999999999372

output:

712048477

result:

ok "712048477"

Test #12:

score: 0
Accepted
time: 1348ms
memory: 71908kb

input:

539000 982202 549877 1000000000000000000

output:

49295427

result:

ok "49295427"

Test #13:

score: 0
Accepted
time: 1905ms
memory: 96972kb

input:

930318 901108 790115 999999999999999002

output:

446688556

result:

ok "446688556"

Test #14:

score: 0
Accepted
time: 2359ms
memory: 102388kb

input:

57298 210381 985237 1000000000000000000

output:

533555472

result:

ok "533555472"

Test #15:

score: 0
Accepted
time: 704ms
memory: 49776kb

input:

567956 1013479 284068 1000000000000000000

output:

13855344

result:

ok "13855344"

Test #16:

score: 0
Accepted
time: 2360ms
memory: 101052kb

input:

694266 795841 967344 1000000000000000000

output:

179712105

result:

ok "179712105"

Test #17:

score: 0
Accepted
time: 619ms
memory: 50356kb

input:

744515 402386 261828 1000000000000000000

output:

915814204

result:

ok "915814204"

Test #18:

score: 0
Accepted
time: 272ms
memory: 36888kb

input:

630928 108751 103226 1000000000000000000

output:

314920156

result:

ok "314920156"

Test #19:

score: 0
Accepted
time: 1390ms
memory: 75624kb

input:

408870 219543 576432 1000000000000000000

output:

332612604

result:

ok "332612604"

Test #20:

score: 0
Accepted
time: 2360ms
memory: 103484kb

input:

208613 769277 1010542 819875140559301752

output:

110220300

result:

ok "110220300"

Test #21:

score: 0
Accepted
time: 951ms
memory: 65860kb

input:

123844 719656 377241 520974001002628387

output:

986512272

result:

ok "986512272"

Test #22:

score: 0
Accepted
time: 2020ms
memory: 99320kb

input:

774205 820111 841396 711066335916901718

output:

254873758

result:

ok "254873758"

Test #23:

score: 0
Accepted
time: 2414ms
memory: 101512kb

input:

604531 395365 966071 999594448264125858

output:

505142123

result:

ok "505142123"

Test #24:

score: 0
Accepted
time: 2213ms
memory: 101624kb

input:

59523 598376 922420 752304351201620672

output:

351022203

result:

ok "351022203"

Test #25:

score: 0
Accepted
time: 2211ms
memory: 103480kb

input:

192450 176925 1037973 192583019203393748

output:

56600397

result:

ok "56600397"

Test #26:

score: 0
Accepted
time: 2224ms
memory: 103240kb

input:

972801 523798 994144 594688603126478507

output:

750534499

result:

ok "750534499"

Test #27:

score: 0
Accepted
time: 12ms
memory: 28164kb

input:

669131 939565 629 543390474884493567

output:

652889135

result:

ok "652889135"

Test #28:

score: 0
Accepted
time: 954ms
memory: 62960kb

input:

829091 688584 371532 935387048229453232

output:

784327643

result:

ok "784327643"

Test #29:

score: 0
Accepted
time: 366ms
memory: 38960kb

input:

407113 311573 150840 428344291461283594

output:

486756568

result:

ok "486756568"

Test #30:

score: 0
Accepted
time: 671ms
memory: 50868kb

input:

338931 949581 280744 289664704872449795

output:

459928211

result:

ok "459928211"

Test #31:

score: 0
Accepted
time: 1006ms
memory: 68160kb

input:

16277 434162 426083 575309380820099707

output:

927534514

result:

ok "927534514"

Test #32:

score: 0
Accepted
time: 1315ms
memory: 72632kb

input:

669467 627218 559817 371026815047584891

output:

393999810

result:

ok "393999810"

Test #33:

score: 0
Accepted
time: 614ms
memory: 50700kb

input:

256940 648067 248598 702551234623621497

output:

107167397

result:

ok "107167397"

Test #34:

score: 0
Accepted
time: 207ms
memory: 45292kb

input:

112359 956967 160416 704822623170226832

output:

945781095

result:

ok "945781095"

Test #35:

score: 0
Accepted
time: 2222ms
memory: 100752kb

input:

608294 272679 879126 922348606336628938

output:

508826865

result:

ok "508826865"

Test #36:

score: 0
Accepted
time: 958ms
memory: 66088kb

input:

844223 856121 402112 640219260480538711

output:

494733011

result:

ok "494733011"

Test #37:

score: 0
Accepted
time: 215ms
memory: 33964kb

input:

589375 991964 85955 471255438930064341

output:

591777452

result:

ok "591777452"

Test #38:

score: 0
Accepted
time: 1225ms
memory: 73108kb

input:

613807 685977 493404 774205724944088968

output:

686401274

result:

ok "686401274"

Test #39:

score: 0
Accepted
time: 133ms
memory: 32448kb

input:

686801 458561 52258 593361261434725536

output:

197205169

result:

ok "197205169"

Extra Test:

score: 0
Extra Test Passed