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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#770869#9553. The HermitvwxyzAC ✓159ms33080kbC++231.7kb2024-11-22 01:00:012024-11-22 01:00:02

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 01:00:02]
  • 评测
  • 测评结果:AC
  • 用时:159ms
  • 内存:33080kb
  • [2024-11-22 01:00:01]
  • 提交

answer

#include <iostream>
#include <vector>
using namespace std;

const int mod = 998244353;
vector<long long> fact, fact_inve;

// モジュロの逆元を計算する関数
long long mod_pow(long long x, long long y, long long m) {
    long long res = 1;
    while (y > 0) {
        if (y % 2 == 1) res = res * x % m;
        x = x * x % m;
        y /= 2;
    }
    return res;
}

// 組み合わせ計算用関数
long long Comb(int n, int m) {
    if (n < m || n < 0) return 0;
    return fact[n] * fact_inve[n - m] % mod * fact_inve[m] % mod;
}

int main() {
    int M, N;
    cin >> M >> N;

    // 階乗と階乗の逆元の計算
    fact.push_back(1);
    for (int i = 1; i <= N + M; i++) {
        fact.push_back(fact.back() * i % mod);
    }

    fact_inve.resize(N + M + 1);
    for (int i = 0; i <= N + M; i++) {
        fact_inve[i] = mod_pow(fact[i], mod - 2, mod);
    }

    int NN = min(N, 20);
    vector<vector<int>> D(M + 1);
    for (int d = 1; d <= M; d++) {
        for (int m = 2 * d; m <= M; m += d) {
            D[m].push_back(d);
        }
    }

    vector<vector<long long>> dp(NN, vector<long long>(M + 1, 0));
    long long ans = Comb(M, N) * N % mod;

    for (int n = 0; n < NN; n++) {
        for (int m = 1; m <= M; m++) {
            if (n == 0) {
                dp[0][m] = 1;
            } else {
                for (int d : D[m]) {
                    dp[n][m] += dp[n - 1][d];
                    dp[n][m] %= mod;
                }
            }
            ans -= dp[n][m] * Comb(M / m - 1, N - 1 - n) % mod;
            ans = (ans + mod) % mod;
        }
    }

    cout << ans << endl;
    return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3804kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

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

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 122ms
memory: 33020kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 10ms
memory: 6328kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 131ms
memory: 31820kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 26ms
memory: 16632kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 113ms
memory: 27816kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

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

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

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

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

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

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 159ms
memory: 32720kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 37ms
memory: 12832kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 8ms
memory: 5924kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 102ms
memory: 31548kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 122ms
memory: 33080kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 131ms
memory: 32596kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 6ms
memory: 5376kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 42ms
memory: 17372kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 50ms
memory: 18228kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 118ms
memory: 33016kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 140ms
memory: 32944kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 12ms
memory: 6880kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 112ms
memory: 29320kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 106ms
memory: 28548kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 102ms
memory: 29212kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 110ms
memory: 29944kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

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

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 119ms
memory: 31360kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 133ms
memory: 31360kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 3548kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

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

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 93ms
memory: 23472kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 104ms
memory: 19952kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 66ms
memory: 20100kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 145ms
memory: 31732kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 114ms
memory: 31576kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 39ms
memory: 17440kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 114ms
memory: 32160kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed