QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#127753 | #6740. Function | Ormlis# | AC ✓ | 279ms | 5780kb | C++20 | 2.4kb | 2023-07-20 00:47:36 | 2023-07-20 00:47:39 |
Judging History
answer
#include "bits/stdc++.h"
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep1(i, n) for (int i = 1; i < (n); ++i)
#define rep1n(i, n) for (int i = 1; i <= (n); ++i)
#define repr(i, n) for (int i = (n) - 1; i >= 0; --i)
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define each(x, a) for (auto &x : a)
#define ar array
#define vec vector
#define range(i, n) rep(i, n)
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using str = string;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vpi = vector<pair<int, int>>;
using vvi = vector<vi>;
int Bit(int mask, int b) { return (mask >> b) & 1; }
template<class T>
bool ckmin(T &a, const T &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<class T>
bool ckmax(T &a, const T &b) {
if (b > a) {
a = b;
return true;
}
return false;
}
const int INFi = 2e9;
const ll INF = 1e18;
const int LG = 18;
const int md = 998244353; //1e9 + 7, 1e9 + 9
inline int add(const int &a, const int &b) {
return a + b >= md ? a + b - md : a + b;
}
inline int sub(const int &a, const int &b) {
return a - b < 0 ? a - b + md : a - b;
}
inline int mul(const int &a, const int &b) {
return (1ll * a * b) % md;
}
int pw(int a, ll b) {
int res = 1;
for (; b; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a);
return res;
}
int rev(int a) {
return pw(a, md - 2);
}
void solve() {
int n;
cin >> n;
unordered_map<int, int> dp;
dp[0] = 0;
const int K = 20210926;
for (int value = 1; value <= n;) {
int res = 1;
int L = 2;
while (L <= value && L <= K) {
int y = value / L;
int R = value / y;
R = min(R, K);
R++;
res = add(res, mul(R - L, dp[y]));
L = R;
}
dp[value] = res;
if (value == n) break;
int to = n / (value + 1);
value = n / to;
}
cout << dp[n] << '\n';
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout << setprecision(12) << fixed;
int t = 1;
// cin >> t;
rep(i, t) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3476kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3452kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3432kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3476kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3440kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3460kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 3ms
memory: 3560kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 10ms
memory: 3692kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 49ms
memory: 4072kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 279ms
memory: 5712kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 274ms
memory: 5688kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 271ms
memory: 5712kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 273ms
memory: 5660kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 277ms
memory: 5728kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 278ms
memory: 5712kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 279ms
memory: 5692kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 270ms
memory: 5684kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 271ms
memory: 5780kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 250ms
memory: 5688kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 3ms
memory: 3580kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 5ms
memory: 3736kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 6ms
memory: 3716kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 8ms
memory: 3680kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 5ms
memory: 3704kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"