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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#518168#4807. Melborp Lacissalccpchenpi#AC ✓1025ms37676kbC++204.8kb2024-08-13 16:59:592024-08-13 17:00:02

Judging History

你现在查看的是最新测评结果

  • [2024-08-13 17:00:02]
  • 评测
  • 测评结果:AC
  • 用时:1025ms
  • 内存:37676kb
  • [2024-08-13 16:59:59]
  • 提交

answer

// https://www.youtube.com/watch?v=wthasN45KuY
// You said I’d fly away
// But my walls have kept me down
// Now I’m lost and I’m afraid
// And I’m close to hit the ground
// 
// You said I’d fly away
// You said I’d fly anywhere
// But I keep on Falling

#ifndef ONLINE_JUDGE
#include "templates/debug.hpp"
#else
#define debug(...)
#endif

#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
using u64 = uint64_t;

namespace modint {

using i64 = int64_t;

template <int P>
struct Mint {
   private:
    constexpr Mint power(Mint x, i64 p) const {
        Mint res = 1;
        while (p > 0) {
            if (p & 1) {
                res *= x;
            }
            x *= x;
            p >>= 1;
        }
        return res;
    }

    constexpr int norm(int x) const {
        if (x < 0) {
            x += getMod();
        }
        if (x >= getMod()) {
            x -= getMod();
        }
        return x;
    }

   public:
    int x;
    constexpr Mint() : x{} {}
    constexpr Mint(i64 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 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 pow(i64 r) const { return power(*this, r); }
    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) {
        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();
    }
};

template <int P>
int Mint<P>::mod{0};

template <typename Z>
struct Comb {
    std::vector<Z> fact, inv_fact;
    Comb(int n) {
        fact.resize(n + 1, Z(1));
        inv_fact.resize(n + 1, Z(1));
        for (int i = 1; i <= n; i++) {
            fact[i] = fact[i - 1] * i;
        }
        inv_fact[n] = Z{1} / fact[n];
        for (int i = n - 1; i >= 0; i--) {
            inv_fact[i] = inv_fact[i + 1] * (i + 1);
        }
    }
    Z get(int n, int m) const {
        if (n < m || m < 0) return 0;
        return fact[n] * inv_fact[m] * inv_fact[n - m];
    }
};
}  // namespace modint

// check the modulus!!!
constexpr int MOD = 998244353;

using Z = modint::Mint<MOD>;
using C = modint::Comb<Z>;

C comb(64 + 114);

#define int i64
constexpr int INF = 1e9 + 7;
void solve() {
    int n, k, t; cin >> n >> k >> t;
    vector dp(k, vector(n + 1, vector<Z>(t + 1, 0)));
    for (int i = 0; i <= n; i++) {
        if (i * (i + 1) / 2 <= t) dp[0][i][i * (i + 1) / 2] = comb.get(n, i);
    }
    for (int i = 1; i < k; i++) {
        for (int c = 0; c <= n; c++) {
            for (int d = 0; c + d <= n; d++) {
                for (int p = 0; p <= t; p++) {
                    int np = p + d * (d - 1) / 2;
                    if (np <= t) {
                        dp[i][c + d][np] += dp[i - 1][c][p] * comb.get(n - c, d);
                    }
                }
            }
        }
    }
    cout << dp[k - 1][n][t] << "\n";
}
#undef int

// Make bold hypotheses and verify carefully
int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3644kb

input:

2 5 1

output:

12

result:

ok 1 number(s): "12"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

7 10 15

output:

2016

result:

ok 1 number(s): "2016"

Test #3:

score: 0
Accepted
time: 24ms
memory: 5016kb

input:

46 50 171

output:

645560469

result:

ok 1 number(s): "645560469"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

64 64 0

output:

0

result:

ok 1 number(s): "0"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

64 64 1

output:

326126263

result:

ok 1 number(s): "326126263"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

63 64 0

output:

4476118

result:

ok 1 number(s): "4476118"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

11 45 14

output:

963276342

result:

ok 1 number(s): "963276342"

Test #8:

score: 0
Accepted
time: 27ms
memory: 5016kb

input:

35 20 565

output:

0

result:

ok 1 number(s): "0"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

3 64 5

output:

0

result:

ok 1 number(s): "0"

Test #10:

score: 0
Accepted
time: 13ms
memory: 4132kb

input:

35 45 153

output:

181934997

result:

ok 1 number(s): "181934997"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

3 25 5

output:

0

result:

ok 1 number(s): "0"

Test #12:

score: 0
Accepted
time: 4ms
memory: 3904kb

input:

35 5 373

output:

740122840

result:

ok 1 number(s): "740122840"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

3 50 5

output:

0

result:

ok 1 number(s): "0"

Test #14:

score: 0
Accepted
time: 39ms
memory: 6024kb

input:

35 30 592

output:

0

result:

ok 1 number(s): "0"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

3 11 1

output:

540

result:

ok 1 number(s): "540"

Test #16:

score: 0
Accepted
time: 43ms
memory: 5920kb

input:

35 55 352

output:

656633208

result:

ok 1 number(s): "656633208"

Test #17:

score: 0
Accepted
time: 55ms
memory: 6324kb

input:

54 38 356

output:

215089708

result:

ok 1 number(s): "215089708"

Test #18:

score: 0
Accepted
time: 4ms
memory: 3820kb

input:

22 19 189

output:

0

result:

ok 1 number(s): "0"

Test #19:

score: 0
Accepted
time: 98ms
memory: 8884kb

input:

54 63 401

output:

987604839

result:

ok 1 number(s): "987604839"

Test #20:

score: 0
Accepted
time: 8ms
memory: 3856kb

input:

22 43 171

output:

827743481

result:

ok 1 number(s): "827743481"

Test #21:

score: 0
Accepted
time: 42ms
memory: 5844kb

input:

54 24 446

output:

551546514

result:

ok 1 number(s): "551546514"

Test #22:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

22 4 152

output:

0

result:

ok 1 number(s): "0"

Test #23:

score: 0
Accepted
time: 336ms
memory: 17068kb

input:

54 48 1306

output:

0

result:

ok 1 number(s): "0"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

22 29 7

output:

374430631

result:

ok 1 number(s): "374430631"

Test #25:

score: 0
Accepted
time: 62ms
memory: 6244kb

input:

54 9 1351

output:

0

result:

ok 1 number(s): "0"

Test #26:

score: 0
Accepted
time: 1ms
memory: 3876kb

input:

22 54 5

output:

267958047

result:

ok 1 number(s): "267958047"

Test #27:

score: 0
Accepted
time: 292ms
memory: 14380kb

input:

64 32 1315

output:

494251101

result:

ok 1 number(s): "494251101"

Test #28:

score: 0
Accepted
time: 8ms
memory: 3940kb

input:

33 12 332

output:

765350074

result:

ok 1 number(s): "765350074"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

1 57 1

output:

1

result:

ok 1 number(s): "1"

Test #30:

score: 0
Accepted
time: 24ms
memory: 5072kb

input:

33 37 363

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

1 17 0

output:

16

result:

ok 1 number(s): "16"

Test #32:

score: 0
Accepted
time: 16ms
memory: 4412kb

input:

33 62 148

output:

871819399

result:

ok 1 number(s): "871819399"

Test #33:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

1 42 0

output:

41

result:

ok 1 number(s): "41"

Test #34:

score: 0
Accepted
time: 7ms
memory: 4000kb

input:

33 23 179

output:

23699248

result:

ok 1 number(s): "23699248"

Test #35:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

1 3 1

output:

1

result:

ok 1 number(s): "1"

Test #36:

score: 0
Accepted
time: 18ms
memory: 4784kb

input:

33 47 211

output:

267909794

result:

ok 1 number(s): "267909794"

Test #37:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

11 26 32

output:

0

result:

ok 1 number(s): "0"

Test #38:

score: 0
Accepted
time: 7ms
memory: 4032kb

input:

43 6 579

output:

280289125

result:

ok 1 number(s): "280289125"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

11 50 5

output:

865381083

result:

ok 1 number(s): "865381083"

Test #40:

score: 0
Accepted
time: 81ms
memory: 7668kb

input:

43 31 750

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

11 11 12

output:

753565341

result:

ok 1 number(s): "753565341"

Test #42:

score: 0
Accepted
time: 43ms
memory: 5956kb

input:

43 56 290

output:

575236094

result:

ok 1 number(s): "575236094"

Test #43:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

11 36 52

output:

0

result:

ok 1 number(s): "0"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

44 16 0

output:

0

result:

ok 1 number(s): "0"

Test #45:

score: 0
Accepted
time: 1ms
memory: 3944kb

input:

12 61 31

output:

682427534

result:

ok 1 number(s): "682427534"

Test #46:

score: 0
Accepted
time: 46ms
memory: 6284kb

input:

44 41 365

output:

759457870

result:

ok 1 number(s): "759457870"

Test #47:

score: 0
Accepted
time: 1ms
memory: 4028kb

input:

22 19 70

output:

247296498

result:

ok 1 number(s): "247296498"

Test #48:

score: 0
Accepted
time: 123ms
memory: 9652kb

input:

54 64 444

output:

418216086

result:

ok 1 number(s): "418216086"

Test #49:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

22 44 52

output:

779702126

result:

ok 1 number(s): "779702126"

Test #50:

score: 0
Accepted
time: 175ms
memory: 10500kb

input:

54 25 1303

output:

0

result:

ok 1 number(s): "0"

Test #51:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

22 5 49

output:

219556981

result:

ok 1 number(s): "219556981"

Test #52:

score: 0
Accepted
time: 335ms
memory: 16948kb

input:

54 49 1269

output:

0

result:

ok 1 number(s): "0"

Test #53:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

22 30 14

output:

719775605

result:

ok 1 number(s): "719775605"

Test #54:

score: 0
Accepted
time: 63ms
memory: 6352kb

input:

54 10 1314

output:

0

result:

ok 1 number(s): "0"

Test #55:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

22 54 12

output:

325137058

result:

ok 1 number(s): "325137058"

Test #56:

score: 0
Accepted
time: 256ms
memory: 13756kb

input:

54 35 1359

output:

0

result:

ok 1 number(s): "0"

Test #57:

score: 0
Accepted
time: 9ms
memory: 4284kb

input:

33 13 335

output:

202725820

result:

ok 1 number(s): "202725820"

Test #58:

score: 0
Accepted
time: 1025ms
memory: 37676kb

input:

64 64 2080

output:

1

result:

ok 1 number(s): "1"

Test #59:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

1 1 0

output:

0

result:

ok 1 number(s): "0"

Test #60:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

1 1 1

output:

1

result:

ok 1 number(s): "1"

Test #61:

score: 0
Accepted
time: 997ms
memory: 35528kb

input:

63 63 2016

output:

1

result:

ok 1 number(s): "1"