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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
#755503#9553. The Hermitucup-team1264#AC ✓148ms33008kbC++202.2kb2024-11-16 17:31:232024-11-16 17:31:23

Judging History

你现在查看的是测评时间为 2024-11-16 17:31:23 的历史记录

  • [2024-11-18 19:49:08]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:191ms
  • 内存:33012kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 17:31:23]
  • 评测
  • 测评结果:100
  • 用时:148ms
  • 内存:33008kb
  • [2024-11-16 17:31:23]
  • 提交

answer

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

constexpr i64 MOD = 998244353, N = 1e5 + 1145;

i64 fact[N + 1], inv_fact[N + 1], mu[N + 1], is_prime[N + 1];
vector<int> prs;

i64 inv(i64 x) {
    i64 res = 1, pw = MOD - 2;
    while (pw) {
        if (pw & 1) (res *= x) %= MOD;
        (x *= x) %= MOD;
        pw >>= 1;
    }
    return res;
}

i64 dp[20][N + 1];
vector<int> fac[N + 1];

i64 comb(int n, int m) {
    if (m < 0 || n < m) return 0;
    return fact[n] * inv_fact[m] % MOD * inv_fact[n - m] % MOD;
}

void get_mu(int n) {
    fill(is_prime + 1, is_prime + n + 1, 1);
    mu[1] = 1;
    for (int i = 2; i <= n; i++) {
        if (is_prime[i]) mu[i] = -1, prs.push_back(i);
        for (int p : prs) {
            if (p > n / i) break;
            is_prime[i * p] = false;
            mu[i * p] = mu[i] * (i % p ? -1 : 0);
			if (i % p == 0) break;
        }
    }
}

int main() {
    int n, m; cin >> m >> n;
    get_mu(m);
    fact[0] = 1;
    for (int i = 1; i <= m; i++) fact[i] = fact[i - 1] * i % MOD;
    inv_fact[m] = inv(fact[m]);
    for (int i = m - 1; i >= 0; i--) inv_fact[i] = inv_fact[i + 1] * (i + 1) % MOD;

    for (int i = 1; i <= m; i++) {
        for (int j = i + i; j <= m; j += i) {
            fac[j].push_back(i);
        }
    }

    auto get = [&](int n, int c) {
        i64 res = comb(n - 1, c);
        for (int i = 2; i <= n; i++) {
            res += mu[i] * comb(n / i, c);
        }
        return res % MOD;
    };

    i64 ans = 0;
    for (int i = 1; i <= m; i++) {
        dp[0][i] = dp[1][i] = 1;
        for (int c = 2; c < 20; c++) {
            for (int j: fac[i]) (dp[c][i] += dp[c - 1][j]) %= MOD;
        }
        i64 t[20];
        for (int c = 0; c < 20; c++) {
            t[c] = dp[c][i];
            if (c > 0) for (int j: fac[i]) t[c] += dp[c][j];
            t[c] %= MOD;
        }
        for (int c = 0; c < 20; c++) {
            ans += (t[c] * get(m / i, n - c)) % MOD * (n - c) % MOD;
            // if (i == 1) {
            //     cout << format("{} {} {}\n", c, dp[c][i], get(m / i, n - c));
            // }
        }
        ans %= MOD;
    }
    (ans += MOD) %= MOD;

    cout << ans << "\n";
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 7828kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 9772kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 125ms
memory: 32844kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 14ms
memory: 14500kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 139ms
memory: 32912kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 146ms
memory: 32876kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 137ms
memory: 33008kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 11968kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 9864kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 9780kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 2ms
memory: 11820kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 1ms
memory: 9840kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 1ms
memory: 7808kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 2ms
memory: 12100kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 10292kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 8060kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 7980kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 148ms
memory: 32972kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 40ms
memory: 17744kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 12ms
memory: 14628kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 1ms
memory: 7664kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 145ms
memory: 32864kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 132ms
memory: 32980kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 141ms
memory: 32876kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 8ms
memory: 10272kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 143ms
memory: 32916kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 139ms
memory: 32992kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 127ms
memory: 32872kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 141ms
memory: 32876kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 16ms
memory: 14756kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 140ms
memory: 32872kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 140ms
memory: 32940kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 145ms
memory: 32912kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 139ms
memory: 32928kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 131ms
memory: 32924kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 112ms
memory: 31344kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 117ms
memory: 31444kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 7868kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 11884kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 9840kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 9904kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 2ms
memory: 9824kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 9776kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 9840kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 9768kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 9852kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 88ms
memory: 26212kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 93ms
memory: 25060kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 83ms
memory: 24464kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 127ms
memory: 32808kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 120ms
memory: 32860kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 131ms
memory: 32972kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 135ms
memory: 32928kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed