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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#138167#6740. FunctionNicolas125841AC ✓161ms4476kbC++171.1kb2023-08-11 03:08:342023-08-11 03:29:12

Judging History

你现在查看的是最新测评结果

  • [2023-08-11 03:29:12]
  • 评测
  • 测评结果:AC
  • 用时:161ms
  • 内存:4476kb
  • [2023-08-11 03:08:34]
  • 提交

answer

#include <bits/extc++.h>
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define depref(x, y) (x[y] - x[y-1])

unordered_map<ll, ll> s_f;

const ll mod = 998244353;
const ll CAP = 20210926;
const ll DPC = 100000;

vector<ll> dp(DPC + 1, 0);

void prep(){
    dp[0] = 0;
    dp[1] = 1;

    for(int i = 2; i <= DPC; i++){
        for(int j = 1; j * j <= i; j++){
            if(i % j)
                continue;

            dp[i] += dp[i / j];

            if(j * j != i)
                dp[i] += dp[j];

            dp[i] %= mod;
        }
    }

    for(int i = 1; i <= DPC; i++)
        dp[i] = (dp[i] + dp[i - 1]) % mod;
}

ll solve(ll n){
    if(n <= DPC)
        return dp[n];
    
    if(s_f.find(n) != s_f.end())
        return s_f[n];
    
    ll ans = 1;
    for(ll i = 2, ub; i <= min(n, CAP); i = ub + 1){
        ub = n / (n / i);
        
        ans += solve(n/i) * (min(CAP, ub) - i + 1) % mod;
        ans %= mod;
    }

    return s_f[n] = ans;
}

int main(){
    ll n;
    cin >> n;

    prep();

    cout << solve(n) << "\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 39ms
memory: 3672kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 43ms
memory: 3724kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 42ms
memory: 3744kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 38ms
memory: 3668kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 42ms
memory: 3752kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 38ms
memory: 3776kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 42ms
memory: 3676kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 42ms
memory: 3664kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 43ms
memory: 3704kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 53ms
memory: 3692kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 155ms
memory: 4416kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 155ms
memory: 4424kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 160ms
memory: 4476kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 159ms
memory: 4328kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 156ms
memory: 4408kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 161ms
memory: 4372kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 158ms
memory: 4384kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 159ms
memory: 4472kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 156ms
memory: 4400kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 148ms
memory: 4380kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 43ms
memory: 3752kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 43ms
memory: 3688kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 43ms
memory: 3676kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 43ms
memory: 3676kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 42ms
memory: 3668kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 43ms
memory: 3656kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"