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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
#710444#9553. The Hermitucup-team1196#TL 1712ms19460kbC++201.6kb2024-11-04 19:52:512024-11-18 19:43:52

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:43:52]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:TL
  • 用时:1712ms
  • 内存:19460kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-04 19:52:52]
  • 评测
  • 测评结果:100
  • 用时:1623ms
  • 内存:17428kb
  • [2024-11-04 19:52:51]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

#define int long long

using i64 = long long;
const int N=1e5+8;
vector<int>bs[N];
    const int MAXN = 1e5 + 10;
    const int MOD = 998244353;
    const int mod=MOD;

void solve() {
    int n,m;
    cin>>m>>n;
    std::vector<int> fac( m + 1), inv(m + 1);
    auto qpow = [&](int x, int y)->int{
        int ans = 1;
        while (y) {
            if (y & 1) {
                ans *= x;
                ans %= MOD;
            }
            x *= x;
            x %= MOD;
            y /= 2;
        }
        return ans;
    };
    fac[0] = 1;
    for (int i = 1; i <= m; i++) {
        fac[i] = fac[i - 1] * i % MOD;
    }
    inv[m] = qpow(fac[m], MOD - 2);
    for (int i = m; i >= 1; i--) {
        inv[i - 1] = inv[i] * i % MOD;
    }

    auto C = [&](int x, int y)->int {
        if(x<y) return 0;
        return fac[x] * inv[x - y] % MOD* inv[y] % MOD;
    };
    for(int i=1;i<=m;++i){
        for(int j=i+i;j<=m;j+=i){
            bs[i].push_back(j);
        }
    }

    int res=0;
    auto dfs=[&](auto dfs,int u,int t,int cnt)->void{
        if(t<=0) return;
        if(cnt<t) return;
        int ans=(C(cnt,t)-C(bs[u].size(),t)+mod)%mod*(t+1)%mod;
        for(auto v:bs[u]){
            dfs(dfs,v,t-1,m/u-v/u);
        }
        res+=ans;
        if(res>=mod) res-=mod;
    };
    int lst=0;
    for(int i=1;i<=m;++i){
        dfs(dfs,i,n-1,m-i);
    }
    cout<<res<<"\n";
}

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);
    int t = 1;
    while (t--) {
        solve();
    }
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3756kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

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

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 3ms
memory: 17144kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 5ms
memory: 4832kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 46ms
memory: 17244kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 4ms
memory: 17188kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 1712ms
memory: 17152kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

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

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3508kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

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

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

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

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 20ms
memory: 17212kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 13ms
memory: 7704kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 48ms
memory: 4932kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 1ms
memory: 3500kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 46ms
memory: 17176kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 15ms
memory: 17360kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 20ms
memory: 17144kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 35ms
memory: 4720kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 15ms
memory: 17380kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 57ms
memory: 17208kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 14ms
memory: 17108kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 10ms
memory: 17232kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 5ms
memory: 5060kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 1580ms
memory: 17324kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 1648ms
memory: 19460kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 1571ms
memory: 17184kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 1548ms
memory: 17324kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 10ms
memory: 17140kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 8ms
memory: 16208kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 11ms
memory: 16116kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 1ms
memory: 3496kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

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

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 1ms
memory: 3536kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 3536kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 16ms
memory: 12976kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 752ms
memory: 12264kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 739ms
memory: 12052kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 349ms
memory: 17048kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 336ms
memory: 17220kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 12ms
memory: 17144kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 21ms
memory: 17312kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: -3
Extra Test Failed : Time Limit Exceeded on 4

input:

100000 9

output:


result: