QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#129617 | #6736. Alice and Bob | UndertrainedOverpressure# | AC ✓ | 152ms | 81260kb | C++23 | 7.7kb | 2023-07-22 21:23:33 | 2023-07-22 21:23:36 |
Judging History
answer
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;
typedef long long ll;
template <typename T> T inverse(T a, T m) {
T u = 0, v = 1;
while (a != 0) {
T t = m / a;
m -= t * a;
swap(a, m);
u -= t * v;
swap(u, v);
}
assert(m == 1);
return u;
}
template <typename T> class Modular {
public:
using Type = typename decay<decltype(T::value)>::type;
constexpr Modular() : value() {}
template <typename U> Modular(const U &x) { value = normalize(x); }
template <typename U> static Type normalize(const U &x) {
Type v;
if (-mod() <= x && x < mod())
v = static_cast<Type>(x);
else
v = static_cast<Type>(x % mod());
if (v < 0)
v += mod();
return v;
}
const Type &operator()() const { return value; }
template <typename U> explicit operator U() const {
return static_cast<U>(value);
}
constexpr static Type mod() { return T::value; }
Modular &operator+=(const Modular &other) {
if ((value += other.value) >= mod())
value -= mod();
return *this;
}
Modular &operator-=(const Modular &other) {
if ((value -= other.value) < 0)
value += mod();
return *this;
}
template <typename U> Modular &operator+=(const U &other) {
return *this += Modular(other);
}
template <typename U> Modular &operator-=(const U &other) {
return *this -= Modular(other);
}
Modular &operator++() { return *this += 1; }
Modular &operator--() { return *this -= 1; }
Modular operator++(int) {
Modular result(*this);
*this += 1;
return result;
}
Modular operator--(int) {
Modular result(*this);
*this -= 1;
return result;
}
Modular operator-() const { return Modular(-value); }
template <typename U = T>
typename enable_if<is_same<typename Modular<U>::Type, int>::value,
Modular>::type &
operator*=(const Modular &rhs) {
#ifdef _WIN32
uint64_t x = static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value);
uint32_t xh = static_cast<uint32_t>(x >> 32), xl = static_cast<uint32_t>(x),
d, m;
asm("divl %4; \n\t" : "=a"(d), "=d"(m) : "d"(xh), "a"(xl), "r"(mod()));
value = m;
#else
value = normalize(static_cast<int64_t>(value) *
static_cast<int64_t>(rhs.value));
#endif
return *this;
}
template <typename U = T>
typename enable_if<is_same<typename Modular<U>::Type, int64_t>::value,
Modular>::type &
operator*=(const Modular &rhs) {
int64_t q = static_cast<int64_t>(static_cast<long double>(value) *
rhs.value / mod());
value = normalize(value * rhs.value - q * mod());
return *this;
}
template <typename U = T>
typename enable_if<!is_integral<typename Modular<U>::Type>::value,
Modular>::type &
operator*=(const Modular &rhs) {
value = normalize(value * rhs.value);
return *this;
}
Modular &operator/=(const Modular &other) {
return *this *= Modular(inverse(other.value, mod()));
}
template <typename U>
friend bool operator==(const Modular<U> &lhs, const Modular<U> &rhs);
template <typename U>
friend bool operator<(const Modular<U> &lhs, const Modular<U> &rhs);
template <typename U>
friend std::istream &operator>>(std::istream &stream, Modular<U> &number);
private:
Type value;
};
template <typename T>
bool operator==(const Modular<T> &lhs, const Modular<T> &rhs) {
return lhs.value == rhs.value;
}
template <typename T, typename U>
bool operator==(const Modular<T> &lhs, U rhs) {
return lhs == Modular<T>(rhs);
}
template <typename T, typename U>
bool operator==(U lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) == rhs;
}
template <typename T>
bool operator!=(const Modular<T> &lhs, const Modular<T> &rhs) {
return !(lhs == rhs);
}
template <typename T, typename U>
bool operator!=(const Modular<T> &lhs, U rhs) {
return !(lhs == rhs);
}
template <typename T, typename U>
bool operator!=(U lhs, const Modular<T> &rhs) {
return !(lhs == rhs);
}
template <typename T>
bool operator<(const Modular<T> &lhs, const Modular<T> &rhs) {
return lhs.value < rhs.value;
}
template <typename T>
Modular<T> operator+(const Modular<T> &lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) += rhs;
}
template <typename T, typename U>
Modular<T> operator+(const Modular<T> &lhs, U rhs) {
return Modular<T>(lhs) += rhs;
}
template <typename T, typename U>
Modular<T> operator+(U lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) += rhs;
}
template <typename T>
Modular<T> operator-(const Modular<T> &lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) -= rhs;
}
template <typename T, typename U>
Modular<T> operator-(const Modular<T> &lhs, U rhs) {
return Modular<T>(lhs) -= rhs;
}
template <typename T, typename U>
Modular<T> operator-(U lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) -= rhs;
}
template <typename T>
Modular<T> operator*(const Modular<T> &lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) *= rhs;
}
template <typename T, typename U>
Modular<T> operator*(const Modular<T> &lhs, U rhs) {
return Modular<T>(lhs) *= rhs;
}
template <typename T, typename U>
Modular<T> operator*(U lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) *= rhs;
}
template <typename T>
Modular<T> operator/(const Modular<T> &lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) /= rhs;
}
template <typename T, typename U>
Modular<T> operator/(const Modular<T> &lhs, U rhs) {
return Modular<T>(lhs) /= rhs;
}
template <typename T, typename U>
Modular<T> operator/(U lhs, const Modular<T> &rhs) {
return Modular<T>(lhs) /= rhs;
}
template <typename T, typename U>
Modular<T> power(const Modular<T> &a, const U &b) {
assert(b >= 0);
Modular<T> x = a, res = 1;
U p = b;
while (p > 0) {
if (p & 1)
res *= x;
x *= x;
p >>= 1;
}
return res;
}
template <typename T> string to_string(const Modular<T> &number) {
return to_string(number());
}
template <typename T>
std::ostream &operator<<(std::ostream &stream, const Modular<T> &number) {
return stream << number();
}
template <typename T>
std::istream &operator>>(std::istream &stream, Modular<T> &number) {
typename common_type<typename Modular<T>::Type, int64_t>::type x;
stream >> x;
number.value = Modular<T>::normalize(x);
return stream;
}
/*
using ModType = int;
struct VarMod { static ModType value; };
ModType VarMod::value;
ModType& md = VarMod::value;
using Mint = Modular<VarMod>;
*/
constexpr int md = 998244353;
using Mint = Modular<std::integral_constant<decay<decltype(md)>::type, md>>;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector<Mint> fact(n + 1);
fact[0] = 1;
for (int i = 1; i <= n; ++i) {
fact[i] = fact[i - 1] * i;
}
vector<Mint> inv_fact(n + 1);
inv_fact[n] = 1 / fact[n];
for (int i = n - 1; i >= 0; --i) {
inv_fact[i] = inv_fact[i + 1] * (i + 1);
}
auto C = [&](int n, int k) {
return fact[n] * inv_fact[k] * inv_fact[n - k];
};
Mint ans = 0;
for (int x = 1; x <= n; ++x) {
int places = x - 1;
int larger = n - x;
if (larger >= places) {
ans += C(larger, places) * fact[places] * fact[n - places - 1];
}
}
cout << ans << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3480kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3512kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3448kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3448kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3528kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3508kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3464kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 1ms
memory: 3460kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3476kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3420kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3448kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3548kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 23ms
memory: 13800kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 112ms
memory: 62188kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 125ms
memory: 66796kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 93ms
memory: 51160kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 51ms
memory: 30468kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 103ms
memory: 57616kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 49ms
memory: 25644kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 152ms
memory: 81124kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 143ms
memory: 81156kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 147ms
memory: 81260kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"