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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#412395#6740. FunctionLiberty12619AC ✓72ms11576kbC++20946b2024-05-16 13:11:042024-05-16 13:11:04

Judging History

你现在查看的是最新测评结果

  • [2024-05-16 13:11:04]
  • 评测
  • 测评结果:AC
  • 用时:72ms
  • 内存:11576kb
  • [2024-05-16 13:11:04]
  • 提交

answer

#include <bits/stdc++.h>
#define x first
#define y second
#define int long long
using namespace std;
typedef pair<int,int> PII;
const int N = 1e6+10,mod = 998244353,INF=1e12,cap  = 20210926;
int dp[N];
map<int,int>mp;
void init()
{
    dp[1]=1;
    for(int i=1;i<N;i++)
    {
        dp[i]%=mod;
        for(int j=i*2;j<N;j+=i) dp[j]+=dp[i];
    }
    for(int i=2;i<=N;i++)
    {
        dp[i]+=dp[i-1];
        if(dp[i]>=mod)  dp[i]-=mod;
    }

}
int solve(int n)
{
    if(n<N) return dp[n];
    if(mp.count(n)) return mp[n];
    int ans=1;
    for(int l=2,r;l<=min(cap,n);l=r+1)
    {
        r = n/(n/l);
        ans =(ans + solve(n/l)*(min(cap,r)-l+1))%mod;
    }
    return mp[n]=ans;
}

signed main()
{
    int T=1;
    cin.tie(0)->sync_with_stdio(false);
    //cin>>T;
    init();
    while(T--)
    {
        int n;
        cin>>n;
        cout<<solve(n)<<"\n";
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 30ms
memory: 11520kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 29ms
memory: 11444kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 30ms
memory: 11364kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 29ms
memory: 11356kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 32ms
memory: 11516kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 30ms
memory: 11428kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 30ms
memory: 11444kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 29ms
memory: 11492kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 30ms
memory: 11448kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 30ms
memory: 11456kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 71ms
memory: 11428kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 67ms
memory: 11476kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 72ms
memory: 11572kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 71ms
memory: 11448kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 71ms
memory: 11484kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 67ms
memory: 11576kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 68ms
memory: 11448kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 72ms
memory: 11448kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 71ms
memory: 11504kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 64ms
memory: 11496kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 30ms
memory: 11368kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 30ms
memory: 11392kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 26ms
memory: 11360kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 26ms
memory: 11440kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 29ms
memory: 11368kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 30ms
memory: 11368kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"