QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#164883 | #6740. Function | xaphoenix# | AC ✓ | 605ms | 3992kb | C++14 | 1.7kb | 2023-09-05 14:24:19 | 2023-09-05 14:24:20 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define pf push_front
#define LC k<<1
#define RC k<<1|1
#define IO cin.sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define all(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define rep(i, a, n) for (int i = a; i < n; i++)
#define repn(i, a, n) for (int i = a; i <= n; i++)
#define per(i, a, n) for (int i = (n) - 1; i >= a; i--)
#define pern(i, a, n) for (int i = n; i >= a; i--)
typedef long long LL;
typedef long double LD;
typedef unsigned long long ull;
typedef pair<int, int> PII;
typedef pair<int, LL> PIL;
typedef pair<LL, int> PLI;
typedef pair<double, double> PDD;
typedef pair<ull, ull> PUU;
typedef pair<LL, LL> PLL;
const int N = 110000;
const int M = 1100000;
const int mod = 998244353;
const int inf = (int)1e9;
const LL INF = 1e18;
const double eps = 1e-9;
mt19937_64 Rand((unsigned long long)new char);
#define rand Rand
int n, lim;
int f[N], g[N];
const int L = 20210926;
int dfs(LL x) {
if (x > n) return 0;
if (x > 50) x = n / (n / x);
if (x <= lim && f[x]) return f[x];
else if (x > lim && g[n / x]) return g[n / x];
int res = 1, l = 2, r, d = n / x;
while ((LL)l * x <= 50) res = (res + dfs(l * x)) % mod, l++;
d = min(d, L);
while (l <= d) {
r = min((LL)d, n / (n / (l * x)) / x);
LL num = (r - l + 1) % mod;
num = num * dfs(l * x) % mod;
res = (res + num) % mod;
l = r + 1;
}
if (x <= lim) return f[x] = res;
else return g[n / x] = res;
}
int main() {
IO;
cin >> n;
// n = 1000000000;
lim = int(sqrt(n) + 0.1);
cout << dfs(1) << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3664kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3660kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 4ms
memory: 3600kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 20ms
memory: 3684kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 107ms
memory: 3796kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 604ms
memory: 3928kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 600ms
memory: 3848kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 600ms
memory: 3848kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 605ms
memory: 3992kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 605ms
memory: 3852kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 604ms
memory: 3972kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 605ms
memory: 3840kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 604ms
memory: 3932kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 599ms
memory: 3892kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 558ms
memory: 3908kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 5ms
memory: 3672kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 16ms
memory: 3684kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 17ms
memory: 3752kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 14ms
memory: 3700kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 9ms
memory: 3740kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 11ms
memory: 3684kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"