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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 |
---|---|---|---|---|---|---|---|---|---|
#774800 | #9553. The Hermit | Clarus | AC ✓ | 483ms | 31020kb | C++20 | 4.9kb | 2024-11-23 13:52:58 | 2024-11-23 13:52:58 |
Judging History
answer
#include <bits/stdc++.h>
using LL = long long;
constexpr int inf = 1E9;
template<class T>
constexpr T power(T a, LL b)
{
T res = 1;
while (b > 0)
{
if (b & 1)
{
res *= a;
}
b >>= 1;
a *= a;
}
return res;
}
template<int P>
struct MInt
{
int x;
static int Mod;
constexpr MInt() : x{} {}
constexpr MInt(LL x) : x{norm(x % getMod())} {}
constexpr static int getMod()
{
if (P) 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();
}
constexpr MInt &operator++() &
{
x = norm(x + 1);
return *this;
}
constexpr MInt operator++(int)
{
MInt temp = *this;
++(*this);
return temp;
}
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();
}
friend constexpr bool operator!=(MInt lhs, MInt rhs)
{
return lhs.val() != rhs.val();
}
};
template<>
int MInt<0>::Mod = int(1e9) + 7;
template<int V, int P>
constexpr MInt<P> inv = MInt<P>(V).inv();
constexpr int P = 998244353;
using Z = MInt<P>;
namespace comb
{
int n = 0;
std::vector<Z> _fac{1}, _invfac{1}, _inv{0};
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 binom(int n, int m)
{
if (n < m || m < 0) return 0;
return fac(n) * invfac(m) * invfac(n - m);
}
}
int main()
{
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n, m;
std::cin >> m >> n;
std::vector<std::map<int, Z>> dp(n + 1);
for (int x = 1; x <= m; x++)
{
dp[1][x] = 1;
}
for (int i = 1; i <= n; i++)
{
for (auto [x, y] : dp[i])
{
for (int j = 2; i < n && j * x <= m; j++)
{
dp[i + 1][j * x] += y;
}
}
}
Z ans = comb::binom(m, n) * n;
for (int i = 1; i <= n; i++)
{
for (auto [x, y] : dp[i])
{
ans -= y * comb::binom(m / x - 1, n - i);
}
}
std::cout << ans << '\n';
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: 0ms
memory: 3492kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3628kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 473ms
memory: 30976kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 25ms
memory: 5908kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 453ms
memory: 26584kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 25ms
memory: 10148kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 483ms
memory: 26320kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 2ms
memory: 3996kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 3ms
memory: 3856kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 2ms
memory: 3820kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 2ms
memory: 3780kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 461ms
memory: 29712kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 96ms
memory: 11020kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 27ms
memory: 6008kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 480ms
memory: 26596kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 469ms
memory: 30592kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 465ms
memory: 29664kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 21ms
memory: 5604kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 174ms
memory: 14988kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 303ms
memory: 19280kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 449ms
memory: 31020kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 471ms
memory: 30960kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 30ms
memory: 6092kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 452ms
memory: 26252kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 461ms
memory: 26340kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 474ms
memory: 26396kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 475ms
memory: 26340kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 460ms
memory: 30956kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 428ms
memory: 29436kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 410ms
memory: 29352kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 1ms
memory: 3536kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 1ms
memory: 3488kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 281ms
memory: 20076kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 261ms
memory: 18064kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 250ms
memory: 18220kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 468ms
memory: 26288kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 467ms
memory: 26320kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 169ms
memory: 14928kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 476ms
memory: 27592kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed