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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#775484#9553. The Hermitguiyuan98#AC ✓186ms33496kbC++201.9kb2024-11-23 16:03:242024-11-23 16:03:25

Judging History

你现在查看的是最新测评结果

  • [2024-11-23 16:03:25]
  • 评测
  • 测评结果:AC
  • 用时:186ms
  • 内存:33496kb
  • [2024-11-23 16:03:24]
  • 提交

answer

#include <bits/stdc++.h>

using i64 = long long;
const int N = 1e5 + 10;
const int MOD = 998244353;

std::vector<i64> fac(N + 1, 1), invfac(N + 1, 1);

i64 ksm(i64 a, i64 n, i64 MOD) {
    i64 ans = 1;
    a = (a % MOD + MOD) % MOD;
    while (n) {
        if (n & 1) {
            ans = (a * ans) % MOD;
        }
        a = (a * a) % MOD;
        n >>= 1;
    }
    return ans;
}

void init(int n) {
    fac[0] = 1;
    for (int i = 1; i <= n; i++) {
        fac[i] = fac[i - 1] * i % MOD;
    }
    invfac[n] = ksm(fac[n], MOD - 2, MOD);
    for (int i = n - 1; i >= 0; i--) {
        invfac[i] = invfac[i + 1] * (i + 1) % MOD;
    }
}

i64 C(int n, int m) {  // 组合数
    if (m > n || m < 0) {
        return 0;
    }
    return fac[n] * invfac[m] % MOD * invfac[n - m] % MOD;
}

i64 A(int n, int m) {  // 排列数
    if (m > n || m < 0) {
        return 0;
    }
    return fac[n] * invfac[n - m] % MOD;
}

i64 catalan(int n) {  // 卡特兰数
    if (n < 0) {
        return 0;
    }
    return C(2 * n, n) * ksm(n + 1, MOD - 2, MOD) % MOD;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);
    std::cout.tie(0);

    init(N);
    int m, n;
    std::cin >> m >> n;

    std::unordered_map<int, std::unordered_map<int, int>> f;
    for (int x = 1; x <= m; x++) {
        f[1][x] = 1;
    }

    int ans = n * C(m, n) % MOD;
    for (int i = 1; i <= n; i++) {  // 枚举长度
        for (auto [x, y] : f[i]) {
            ans = ans - f[i][x] * C(m / x - 1, n - i) % MOD;  // 直接枚举倍数
            ans %= MOD;
            if (ans < 0) {
                ans += MOD;
            }
            for (int j = 2; j * x <= m && i + 1 <= n; j++) {  // 更新倍数链
                f[i + 1][j * x] = (f[i + 1][j * x] + f[i][x]) % MOD;
            }
        }
    }
    std::cout << ans << '\n';
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 4640kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 4588kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 186ms
memory: 33496kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 14ms
memory: 7000kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 173ms
memory: 25468kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 9ms
memory: 9440kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 168ms
memory: 24196kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 4540kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 2ms
memory: 4544kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 2ms
memory: 4512kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 2ms
memory: 4728kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 2ms
memory: 4732kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 2ms
memory: 4540kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 2ms
memory: 4972kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 5160kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 5048kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 2ms
memory: 5020kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 179ms
memory: 31016kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 42ms
memory: 11564kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 14ms
memory: 7164kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 2ms
memory: 4584kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 176ms
memory: 25168kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 173ms
memory: 32888kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 177ms
memory: 31060kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 11ms
memory: 6604kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 51ms
memory: 13900kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 101ms
memory: 18304kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 180ms
memory: 33440kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 169ms
memory: 33356kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 12ms
memory: 7528kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 162ms
memory: 24128kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 166ms
memory: 24176kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 179ms
memory: 24124kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 176ms
memory: 24116kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 173ms
memory: 33340kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 162ms
memory: 31588kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 173ms
memory: 31508kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 2ms
memory: 4416kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 4592kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 2ms
memory: 4640kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 2ms
memory: 4588kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 4584kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 2ms
memory: 4540kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 2ms
memory: 4728kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 2ms
memory: 4556kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 2ms
memory: 4444kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 102ms
memory: 20060kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 82ms
memory: 17064kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 84ms
memory: 17232kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 168ms
memory: 24108kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 172ms
memory: 24160kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 56ms
memory: 13960kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 170ms
memory: 28952kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed