QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#772668 | #9553. The Hermit | poetryfactory | AC ✓ | 102ms | 28444kb | C++20 | 10.1kb | 2024-11-22 21:06:58 | 2024-11-22 21:06:59 |
Judging History
answer
// #pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
#include <random>
#include <chrono>
#define INF 0x3fffffff
#define overload3(a, b, c, d, ...) d
#define overload4(a, b, c, d, e, ...) e
#define all1(x) (x).begin(), (x).end()
#define all2(x, i) (x).begin() + (i), (x).end()
#define all3(x, i, j) (x).begin() + (i), (x).begin() + (j)
#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define eb emplace_back
#define mkp make_pair
#define lowbit(x) (x & -x)
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = (a); i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define REP1(a) for (ll _ = 1; _ <= a; ++_)
#define REP2(i, a) for (ll i = 1; i <= ll(a); ++i)
#define REP3(i, a, b) for (ll i = (a); i <= ll(b); ++i)
#define REP4(i, a, b, c) for (ll i = (a); i <= ll(b); i += (c))
#define PER(i, a, b) for (ll i = (a); i >= ll(b); --i)
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define REP(...) overload4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__)
#define MT \
int tt; \
cin >> tt; \
while (tt--) \
{ \
solve(); \
}
#define suffZero(x) (__builtin_ctz(x))
#define suffZeroll(x) (__builtin_ctzll(x))
#define preZero(x) (__builtin_clz(x))
#define preZeroll(x) (__builtin_clzll(x))
#define countOne(x) (__builtin_popcount(x))
#define countOnell(x) (__builtin_popcountll(x))
#define lastOne(x) (__builtin_ffs(x))
#define firstOne(x) (32 - preZero(x))
#define firstOnell(x) (64 - preZeroll(x))
#define setp(x) std::cout << std::fixed << std::setprecision(x)
#ifdef LOCAL
#include "dbg.h"
#else
#define dbg(...) (__VA_ARGS__)
#endif
using namespace std;
typedef long long ll;
#define int ll
typedef unsigned long long ull;
typedef double db;
typedef long double ldb;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vpii;
typedef vector<vector<pii>> vvpii;
typedef vector<vector<int>> vvi;
mt19937_64 rng{chrono::steady_clock::now().time_since_epoch().count()};
#define endl '\n'
vvi dir = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}, {1, 1}, {-1, 1}, {1, -1}, {-1, -1}};
template <class T>
constexpr T power(T a, ll b)
{
T res = 1;
for (; b; b /= 2, a *= a)
{
if (b % 2)
{
res *= a;
}
}
return res;
}
constexpr ll mul(ll a, ll b, ll p)
{
ll res = a * b - ll(1.L * a * b / p) * p;
res %= p;
if (res < 0)
{
res += p;
}
return res;
}
template <ll P>
struct MLong
{
ll x;
constexpr MLong() : x{} {}
constexpr MLong(ll x) : x{norm(x % getMod())} {}
static ll Mod;
constexpr static ll getMod()
{
if (P > 0)
{
return P;
}
else
{
return Mod;
}
}
constexpr static void setMod(ll Mod_)
{
Mod = Mod_;
}
constexpr ll norm(ll x) const
{
if (x < 0)
{
x += getMod();
}
if (x >= getMod())
{
x -= getMod();
}
return x;
}
constexpr ll val() const
{
return x;
}
explicit constexpr operator ll() const
{
return x;
}
constexpr MLong operator-() const
{
MLong res;
res.x = norm(getMod() - x);
return res;
}
constexpr MLong inv() const
{
assert(x != 0);
return power(*this, getMod() - 2);
}
constexpr MLong &operator*=(MLong rhs) &
{
x = mul(x, rhs.x, getMod());
return *this;
}
constexpr MLong &operator+=(MLong rhs) &
{
x = norm(x + rhs.x);
return *this;
}
constexpr MLong &operator-=(MLong rhs) &
{
x = norm(x - rhs.x);
return *this;
}
constexpr MLong &operator/=(MLong rhs) &
{
return *this *= rhs.inv();
}
friend constexpr MLong operator*(MLong lhs, MLong rhs)
{
MLong res = lhs;
res *= rhs;
return res;
}
friend constexpr MLong operator+(MLong lhs, MLong rhs)
{
MLong res = lhs;
res += rhs;
return res;
}
friend constexpr MLong operator-(MLong lhs, MLong rhs)
{
MLong res = lhs;
res -= rhs;
return res;
}
friend constexpr MLong operator/(MLong lhs, MLong rhs)
{
MLong res = lhs;
res /= rhs;
return res;
}
friend constexpr std::istream &operator>>(std::istream &is, MLong &a)
{
ll v;
is >> v;
a = MLong(v);
return is;
}
friend constexpr std::ostream &operator<<(std::ostream &os, const MLong &a)
{
return os << a.val();
}
friend constexpr bool operator==(MLong lhs, MLong rhs)
{
return lhs.val() == rhs.val();
}
friend constexpr bool operator!=(MLong lhs, MLong rhs)
{
return lhs.val() != rhs.val();
}
};
template <>
ll MLong<0LL>::Mod = ll(1E18) + 9;
template <int P>
struct MInt
{
int x;
constexpr MInt() : x{} {}
constexpr MInt(ll x) : x{norm(x % getMod())} {}
static int Mod;
constexpr static int getMod()
{
if (P > 0)
{
return P;
}
else
{
return Mod;
}
}
constexpr static void setMod(int Mod_)
{
Mod = Mod_;
}
constexpr int norm(int x) const
{
if (x < 0)
{
x += getMod();
}
if (x >= getMod())
{
x -= getMod();
}
return x;
}
constexpr int val() const
{
return x;
}
explicit constexpr operator int() const
{
return x;
}
constexpr MInt operator-() const
{
MInt res;
res.x = norm(getMod() - x);
return res;
}
constexpr MInt inv() const
{
assert(x != 0);
return power(*this, getMod() - 2);
}
constexpr MInt &operator*=(MInt rhs) &
{
x = 1LL * x * rhs.x % getMod();
return *this;
}
constexpr MInt &operator+=(MInt rhs) &
{
x = norm(x + rhs.x);
return *this;
}
constexpr MInt &operator-=(MInt rhs) &
{
x = norm(x - rhs.x);
return *this;
}
constexpr MInt &operator/=(MInt rhs) &
{
return *this *= rhs.inv();
}
friend constexpr MInt operator*(MInt lhs, MInt rhs)
{
MInt res = lhs;
res *= rhs;
return res;
}
friend constexpr MInt operator+(MInt lhs, MInt rhs)
{
MInt res = lhs;
res += rhs;
return res;
}
friend constexpr MInt operator-(MInt lhs, MInt rhs)
{
MInt res = lhs;
res -= rhs;
return res;
}
friend constexpr MInt operator/(MInt lhs, MInt rhs)
{
MInt res = lhs;
res /= rhs;
return res;
}
friend constexpr std::istream &operator>>(std::istream &is, MInt &a)
{
ll v;
is >> v;
a = MInt(v);
return is;
}
friend constexpr std::ostream &operator<<(std::ostream &os, const MInt &a)
{
return os << a.val();
}
friend constexpr bool operator==(MInt lhs, MInt rhs)
{
return lhs.val() == rhs.val();
}
friend constexpr bool operator!=(MInt lhs, MInt rhs)
{
return lhs.val() != rhs.val();
}
};
template <>
int MInt<0>::Mod = 998244353;
template <int V, int P>
constexpr MInt<P> CInv = MInt<P>(V).inv();
constexpr int P = 998244353;
using Z = MInt<P>;
struct Comb
{
int n;
std::vector<Z> _fac;
std::vector<Z> _invfac;
std::vector<Z> _inv;
Comb() : n{0}, _fac{1}, _invfac{1}, _inv{0} {}
Comb(int n) : Comb()
{
init(n);
}
void init(int m)
{
m = std::min(m, Z::getMod() - 1);
if (m <= n)
return;
_fac.resize(m + 1);
_invfac.resize(m + 1);
_inv.resize(m + 1);
for (int i = n + 1; i <= m; i++)
{
_fac[i] = _fac[i - 1] * i;
}
_invfac[m] = _fac[m].inv();
for (int i = m; i > n; i--)
{
_invfac[i - 1] = _invfac[i] * i;
_inv[i] = _invfac[i] * _fac[i - 1];
}
n = m;
}
Z fac(int m)
{
if (m > n)
init(2 * m);
return _fac[m];
}
Z invfac(int m)
{
if (m > n)
init(2 * m);
return _invfac[m];
}
Z inv(int m)
{
if (m > n)
init(2 * m);
return _inv[m];
}
Z C(int n, int m)
{
if (n < m || m < 0)
return 0;
return fac(n) * invfac(m) * invfac(n - m);
}
Z P(int n, int m)
{
if (n < m || m < 0)
return 0;
return fac(n) * invfac(n - m);
}
} comb;
void solve()
{
int n, m;
cin >> n >> m;
Z res = comb.C(n, m) * m;
vector<vector<Z>> dp(25, vector<Z>(n + 1)); // dp[i][j] 长度为i的,以j为结尾个数
REP(i, 1, n)
{
dp[1][i] = 1;
for (int j = 2 * i; j <= n; j += i)
{
REP(l, 1, 20)
{
dp[l + 1][j] += dp[l][i];
}
}
}
REP(i, 1, min(20ll, m))
{
REP(j, 1, n)
{
res -= dp[i][j] * comb.C(n / j - 1, m - i);
}
}
cout << res << endl;
}
int32_t main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
clock_t st = clock();
#ifdef LOCAL
freopen("in.in", "r", stdin);
freopen("out.out", "w", stdout);
#endif
//-------------------------------------
solve();
//-------------------------------------
#ifdef LOCAL
cerr << "Time:" << clock() - st << "ms\n";
#endif
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3832kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 102ms
memory: 28376kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 5ms
memory: 6040kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 89ms
memory: 27860kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 93ms
memory: 28264kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 91ms
memory: 28436kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 98ms
memory: 27308kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 31ms
memory: 11580kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 6ms
memory: 6472kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 92ms
memory: 27740kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 91ms
memory: 28168kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 96ms
memory: 27320kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 4ms
memory: 5816kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 91ms
memory: 28312kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 92ms
memory: 28444kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 97ms
memory: 28120kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 93ms
memory: 28224kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 3ms
memory: 6312kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 102ms
memory: 28388kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 90ms
memory: 28260kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 101ms
memory: 28252kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 94ms
memory: 28236kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 94ms
memory: 28248kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 95ms
memory: 26964kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 86ms
memory: 26928kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 58ms
memory: 20064kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 54ms
memory: 19804kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 54ms
memory: 19676kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 86ms
memory: 28436kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 95ms
memory: 28312kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 84ms
memory: 28276kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 88ms
memory: 26012kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed