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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 |
---|---|---|---|---|---|---|---|---|---|
#750270 | #9572. Bingo | TosakaUCW | TL | 404ms | 3896kb | C++20 | 4.6kb | 2024-11-15 13:46:36 | 2024-11-15 13:46:37 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
#define int i64
#define pb push_back
#define ep emplace
#define eb emplace_back
using std::cerr;
using std::max, std::min, std::swap, std::array;
using std::cin, std::cout, std::string, std::vector;
int read(int x = 0, int f = 0, char ch = getchar()) {
while (ch < 48 or 57 < ch) f = ch == 45, ch = getchar();
while(48 <= ch and ch <= 57) x = x * 10 + ch - 48, ch = getchar();
return f ? -x : x;
}
template <class T>
constexpr T power(T a, i64 b) { T res {1}; for (; b; b /= 2, a *= a) if (b % 2) res *= a; return res; }
constexpr i64 mul(i64 a, i64 b, i64 p) { i64 res = a * b - (i64)(1.L * a * b / p) * p; res %= p; if (res < 0) res += p; return res; }
template <i64 P>
struct MInt {
i64 x;
constexpr MInt() : x {0} {}
constexpr MInt(i64 x) : x {norm(x % getMod())} {}
static i64 Mod;
constexpr static i64 getMod() { return P > 0 ? P : Mod; }
constexpr static void setMod(i64 Mod_) { Mod = Mod_; }
constexpr i64 norm(i64 x) const { if (x < 0) x += getMod(); if (x >= getMod()) x -= getMod(); return x; }
constexpr i64 val() const { return x; }
constexpr MInt operator-() const { MInt res; res.x = norm(getMod() - x); return res; }
constexpr MInt inv() const { return power(*this, getMod() - 2); }
constexpr MInt &operator*=(MInt rhs) & { if (getMod() < (1ULL << 31)) x = x * rhs.x % int(getMod()); else x = mul(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) { i64 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 <>
i64 MInt<0>::Mod = 998244353;
constexpr int P = 998244353;
using Z = MInt<P>;
struct Comb {
int n;
std::vector<Z> _fac, _invfac, _inv;
Comb() : n{0}, _fac{1}, _invfac{1}, _inv{0} {}
Comb(int n) : Comb() { init(n); }
void init(int m) {
m = std::min<i64>(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); }
} comb;
void solve() {
int n = read(), m = read();
vector<int> a(n * m + 1);
for (int i = 1; i <= n * m; i++) {
a[i] = read();
}
std::sort(a.begin(), a.end());
// vector<Z> f(n * m + 1);
// vector<Z> g(n * m + 1);
Z ans = 0;
for (int x = 0; x <= n; x++) {
for (int y = 0; y <= m; y++) {
if (x + y == 0) {
continue;
}
Z coef = (x + y - 1) % 2 == 0 ? 1 : -1;
int c = m * x + n * y - x * y;
Z t = 0;
for (int i = 1; i <= n * m; i++) {
t += comb.binom(i - 1, c - 1)
* comb.fac(c)
* comb.fac(n * m - c)
* a[i];
}
Z res = coef * comb.binom(n, x) * comb.binom(m, y);
res *= t;
// res *= comb.binom(i - 1, c - 1)
ans += res;
// cout << t << "\n";
}
}
cout << ans << "\n";
}
signed main() {
for (int T = read(); T--; solve());
// solve();
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3772kb
input:
4 2 2 1 3 2 4 3 1 10 10 10 1 3 20 10 30 3 4 1 1 4 5 1 4 1 9 1 9 8 10
output:
56 60 60 855346687
result:
ok 4 number(s): "56 60 60 855346687"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
1 2 2 0 0 998244352 998244352
output:
998244345
result:
ok 1 number(s): "998244345"
Test #3:
score: 0
Accepted
time: 404ms
memory: 3896kb
input:
900 1 1 810487041 1 2 569006976 247513378 1 3 424212910 256484544 661426830 1 4 701056586 563296095 702740883 723333858 1 5 725786515 738465053 821758167 170452477 34260723 1 6 204184507 619884535 208921865 898995024 768400582 369477346 1 7 225635227 321139203 724076812 439129905 405005469 369864252...
output:
810487041 495026756 540662911 541929691 118309348 270925149 575366228 709974238 761347712 304011276 14811741 366145628 638305530 240546928 484276475 603344008 926633861 161768904 239961447 329781933 315752584 578075668 259941994 600147169 402221164 890998500 154285994 181862417 47930994 273729619 64...
result:
ok 900 numbers
Test #4:
score: -100
Time Limit Exceeded
input:
400 1 995 548100968 635656907 177366910 971271357 314579375 529572241 948721678 455918644 95745688 164857981 499083775 827896554 496889261 111294651 646048809 758286431 163045934 917399362 189372614 267754648 966443706 921589740 228089960 473153545 482816423 37567957 495730380 864445591 568695110 78...