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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 |
---|---|---|---|---|---|---|---|---|---|
#186133 | #4908. 完全表示 | hos_lyric | 45 | 137ms | 4064kb | C++14 | 5.9kb | 2023-09-23 09:28:38 | 2023-09-23 09:28:39 |
Judging History
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 = 164511353;
using Mint = ModInt<MO>;
constexpr int A = 41;
static_assert(((1LL << A) - 1) % MO == 0);
int mod(int f) {
return f ? (1 + (f - 1) % (A - 1)) : 0;
}
/*
sub6
F[n](x) := \sum[<T> = R^n] x^|T|
F[0](x) = 1 + x
ans = F[N](1)
pi: R^n = R^(n-1) * R -> R^(n-1)
<T> = R^n ==> <pi(T)> = R^(n-1)
F[n](x) = \sum[d|K] \mu(d) #{T | <\pi(T)> = R^(n-1) && T \cap \pi^-1(0) \subseteq d R}
= \sum[d|K] \mu(d) d^(n-1) F[n-1]((x+1)^(K/d)-1)
G[n](y) := F[n](x-1)
G[0](y) = y
G[n](y) = \sum[d|K] \mu(d) G[n-1](y^(K/d))
K = \prod[i] P[i]^E[i]
H[n][f] := [y^(P^F)] G[n](y)
H[0](z) = 1
H[n](z) = (\prod[i] (z[i]^E[i] - P[i]^(n-1) z[i]^(E[i]-1))) H[n-1](z)
*/
int N, K, M;
int T;
int I;
vector<int> P, E;
int main() {
for (; ~scanf("%d%d%d", &N, &K, &M); ) {
scanf("%d", &T);
assert(T == 1);
P.clear();
E.clear();
{
int k = K;
for (int p = 2; p * p <= k; ++p) if (k % p == 0) {
int e = 0;
do {
++e;
k /= p;
} while (k % p == 0);
P.push_back(p);
E.push_back(e);
}
if (k > 1) {
P.push_back(k);
E.push_back(1);
}
}
I = P.size();
cerr<<"N = "<<N<<", K = "<<K<<", M = "<<M<<", I = "<<I<<", P = "<<P<<", E = "<<E<<endl;
vector<Mint> CRT(A, 0);
CRT[1] = 1;
for (int i = 0; i < I; ++i) {
vector<Mint> crt(A, 0);
crt[0] = 1;
{
Mint pp = 1;
for (int n = 0; n < N; ++n) {
vector<Mint> nxt(A, 0);
for (int f = 0; f < A; ++f) {
nxt[mod(f + E[i])] += crt[f];
nxt[mod(f + E[i] - 1)] -= pp * crt[f];
}
crt = nxt;
pp *= P[i];
}
}
{
vector<Mint> NXT(A, 0);
int pp = 1;
for (int f = 0; f < A; ++f) {
for (int a = 0; a < A; ++a) {
NXT[(a * pp) % A] += CRT[a] * crt[f];
}
(pp *= P[i]) %= A;
}
CRT = NXT;
}
}
Mint ans = 0;
for (int a = 0; a < A; ++a) {
ans += CRT[a] * Mint(1LL << a);
}
printf("%u\n", ans.x);
}
return 0;
}
详细
Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 0ms
memory: 4052kb
input:
2 3 665 1
output:
486
result:
wrong answer 1st words differ - expected: '51745605', found: '486'
Subtask #2:
score: 15
Accepted
Test #14:
score: 15
Accepted
time: 0ms
memory: 3792kb
input:
19 90203 0 1
output:
142145213
result:
ok "142145213"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
18 9697 0 1
output:
153592927
result:
ok "153592927"
Test #16:
score: 0
Accepted
time: 0ms
memory: 4020kb
input:
20 41 0 1
output:
112957727
result:
ok "112957727"
Test #17:
score: 0
Accepted
time: 0ms
memory: 4060kb
input:
20 99991 0 1
output:
151341559
result:
ok "151341559"
Subtask #3:
score: 5
Accepted
Dependency #2:
100%
Accepted
Test #18:
score: 5
Accepted
time: 1ms
memory: 3764kb
input:
999 9749 0 1
output:
77370298
result:
ok "77370298"
Test #19:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
997 55103 0 1
output:
92054017
result:
ok "92054017"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
1000 41 0 1
output:
6438830
result:
ok "6438830"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
1000 99991 0 1
output:
31676606
result:
ok "31676606"
Subtask #4:
score: 5
Accepted
Dependency #3:
100%
Accepted
Test #22:
score: 5
Accepted
time: 23ms
memory: 3800kb
input:
99996 20089 0 1
output:
163612442
result:
ok "163612442"
Test #23:
score: 0
Accepted
time: 19ms
memory: 3792kb
input:
99996 17707 0 1
output:
109099283
result:
ok "109099283"
Test #24:
score: 0
Accepted
time: 23ms
memory: 3752kb
input:
100000 41 0 1
output:
131161322
result:
ok "131161322"
Test #25:
score: 0
Accepted
time: 23ms
memory: 3796kb
input:
100000 99991 0 1
output:
84487741
result:
ok "84487741"
Subtask #5:
score: 15
Accepted
Test #26:
score: 15
Accepted
time: 1ms
memory: 3764kb
input:
998 24 0 1
output:
75129854
result:
ok "75129854"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
998 35 0 1
output:
120341894
result:
ok "120341894"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
1000 30 0 1
output:
152799538
result:
ok "152799538"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
1000 82 0 1
output:
117109540
result:
ok "117109540"
Test #30:
score: 0
Accepted
time: 1ms
memory: 4064kb
input:
1000 100 0 1
output:
89805014
result:
ok "89805014"
Subtask #6:
score: 5
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Test #31:
score: 5
Accepted
time: 69ms
memory: 4064kb
input:
99998 20726 0 1
output:
63876769
result:
ok "63876769"
Test #32:
score: 0
Accepted
time: 90ms
memory: 3768kb
input:
99998 10270 0 1
output:
47691333
result:
ok "47691333"
Test #33:
score: 0
Accepted
time: 132ms
memory: 4048kb
input:
100000 30030 0 1
output:
80481158
result:
ok "80481158"
Test #34:
score: 0
Accepted
time: 137ms
memory: 3764kb
input:
100000 94710 0 1
output:
61977663
result:
ok "61977663"
Test #35:
score: 0
Accepted
time: 46ms
memory: 3772kb
input:
100000 100000 0 1
output:
163629325
result:
ok "163629325"
Subtask #7:
score: 0
Wrong Answer
Dependency #6:
100%
Accepted
Test #36:
score: 0
Wrong Answer
time: 1ms
memory: 3796kb
input:
96 26444 100 1
output:
126671096
result:
wrong answer 1st words differ - expected: '28274469', found: '126671096'
Subtask #8:
score: 0
Skipped
Dependency #1:
0%
Subtask #9:
score: 0
Runtime Error
Test #46:
score: 0
Runtime Error
input:
99997 3 997 2 0 1 2 1 2 0 2 0 1 0 0 0 0 1 2 0 2 1