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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#588800#6417. Classical Summation ProblemTobo#AC ✓164ms3720kbC++202.7kb2024-09-25 14:37:032024-09-25 14:37:04

Judging History

你现在查看的是最新测评结果

  • [2024-09-25 14:37:04]
  • 评测
  • 测评结果:AC
  • 用时:164ms
  • 内存:3720kb
  • [2024-09-25 14:37:03]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

template <int mod>
unsigned int down(unsigned int x)
{
    return x >= mod ? x - mod : x;
}
template <int mod>
struct Modint
{
    unsigned int x;
    Modint() = default;
    Modint(unsigned int x) : x(x) {}
    friend istream &operator>>(istream &in, Modint &a) { return in >> a.x; }
    friend ostream &operator<<(ostream &out, Modint a) { return out << a.x; }
    friend Modint operator+(Modint a, Modint b) { return down<mod>(a.x + b.x); }
    friend Modint operator-(Modint a, Modint b) { return down<mod>(a.x - b.x + mod); }
    friend Modint operator*(Modint a, Modint b) { return 1ULL * a.x * b.x % mod; }
    friend Modint operator/(Modint a, Modint b) { return a * ~b; }
    friend Modint operator^(Modint a, int b)
    {
        Modint ans = 1;
        for (; b; b >>= 1, a *= a)
            if (b & 1)
                ans *= a;
        return ans;
    }
    friend Modint operator~(Modint a) { return a ^ (mod - 2); }
    friend Modint operator-(Modint a) { return down<mod>(mod - a.x); }
    friend Modint &operator+=(Modint &a, Modint b) { return a = a + b; }
    friend Modint &operator-=(Modint &a, Modint b) { return a = a - b; }
    friend Modint &operator*=(Modint &a, Modint b) { return a = a * b; }
    friend Modint &operator/=(Modint &a, Modint b) { return a = a / b; }
    friend Modint &operator^=(Modint &a, int b) { return a = a ^ b; }
    friend Modint &operator++(Modint &a) { return a += 1; }
    friend Modint operator++(Modint &a, int)
    {
        Modint x = a;
        a += 1;
        return x;
    }
    friend Modint &operator--(Modint &a) { return a -= 1; }
    friend Modint operator--(Modint &a, int)
    {
        Modint x = a;
        a -= 1;
        return x;
    }
    friend bool operator==(Modint a, Modint b) { return a.x == b.x; }
    friend bool operator!=(Modint a, Modint b) { return !(a == b); }
};
const int mod = 998244353;
typedef Modint<mod> mint;

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, k;
    cin >> n >> k;

    if (k & 1)
    {
        mint ans = mint(n) ^ k;
        ans *= (n + 1);
        ans /= 2;
        cout << ans << '\n';
        exit(0);
    }

    mint coef = 1;
    for (int i = k / 2 + 1; i <= k; i++)
        coef *= i;
    for (int i = 1; i <= k / 2; i++)
        coef /= i;

    mint sum = 0;
    for (int i = 2; i <= n; i++)
    {
        mint tmp = mint(i - 1) ^ (k / 2);
        tmp *= mint(n - i + 1) ^ (k / 2);
        sum -= tmp;
    }
    sum *= coef;
    sum /= mint(n) ^ k;
    sum += n + 1;
    sum /= 2;
    sum *= mint(n) ^ k;
    cout << sum << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3648kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

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

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 18ms
memory: 3712kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 77ms
memory: 3648kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 88ms
memory: 3664kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

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

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 157ms
memory: 3584kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 160ms
memory: 3584kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

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

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 154ms
memory: 3664kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

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

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 153ms
memory: 3596kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 13ms
memory: 3596kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 53ms
memory: 3720kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 60ms
memory: 3612kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 83ms
memory: 3716kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 152ms
memory: 3592kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 157ms
memory: 3644kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 154ms
memory: 3584kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 158ms
memory: 3644kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 164ms
memory: 3588kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 5ms
memory: 3640kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 53ms
memory: 3708kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"