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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#132920#6740. FunctionNicolas125841TL 969ms789804kbC++171.4kb2023-08-01 06:29:282023-08-01 06:29:31

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-08-01 06:29:31]
  • 评测
  • 测评结果:TL
  • 用时:969ms
  • 内存:789804kb
  • [2023-08-01 06:29:28]
  • 提交

answer

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

using namespace std;

typedef long long ll;

// To use most b i ts rather than jus t the lowest ones :
struct chash { // large odd number for C
    const uint64_t C = ll(4e18 * acos(0)) | 71;

    ll operator()(ll x) const { return __builtin_bswap64(x*C); }
};

__gnu_pbds::gp_hash_table<ll,ll,chash> rdp({},{},{},{},{1<<25});

const ll mod = 998244353;
const ll N = 20210926;
const ll DPC = 31627;

ll TN;
vector<ll> dp(DPC, 0);

void prep(){
    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 rec(ll n){
    if(TN / n < DPC)
        return dp[TN / n];

    if(rdp.find(n) != rdp.end())
        return rdp[n];

    ll ans = 1;

    for(ll v = 2; v < DPC; v++){
        if(v * n <= TN)
            ans += rec(v * n);

        ll ub = min(N, TN / (n * (v - 1)));
        ll lb = max(DPC, TN / (n * v) + 1);

        if(ub >= lb)
            ans += (ub - lb + 1) * dp[v - 1];
        
        ans %= mod;
    }

    rdp[n] = ans;
    
    return ans;
}

int main(){
    cin >> TN;

    prep();

	cout << rec(1) << "\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 108ms
memory: 789720kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 96ms
memory: 789724kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 107ms
memory: 789720kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 89ms
memory: 789708kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 99ms
memory: 789804kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 111ms
memory: 789792kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 107ms
memory: 789720kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 98ms
memory: 789684kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 180ms
memory: 789672kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 969ms
memory: 789716kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: -100
Time Limit Exceeded

input:

1000000000

output:


result: