QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#129667 | #6740. Function | UndertrainedOverpressure# | AC ✓ | 271ms | 3992kb | C++23 | 3.4kb | 2023-07-22 21:56:52 | 2023-07-22 21:57:02 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define TIME (clock() * 1.0 / CLOCKS_PER_SEC)
// если модуль подается на вход, убрать все <> и раскомментировать нужные строки
using uint = unsigned int;
using ull = unsigned long long;
template <uint MD> struct ModInt {
using M = ModInt;
// static int MD;
uint v;
ModInt(ll _v = 0) { set_v(uint(_v % MD + MD)); }
M& set_v(uint _v) {
v = (_v < MD) ? _v : _v - MD;
return *this;
}
explicit operator bool() const { return v != 0; }
M operator-() const { return M() - *this; }
M operator+(const M& r) const { return M().set_v(v + r.v); }
M operator-(const M& r) const { return M().set_v(v + MD - r.v); }
M operator*(const M& r) const { return M().set_v(uint((ull)v * r.v % MD)); }
M operator/(const M& r) const { return *this * r.inv(); }
M& operator+=(const M& r) { return *this = *this + r; }
M& operator-=(const M& r) { return *this = *this - r; }
M& operator*=(const M& r) { return *this = *this * r; }
M& operator/=(const M& r) { return *this = *this / r; }
bool operator==(const M& r) const { return v == r.v; }
bool operator!=(const M& r) const { return v != r.v; }
M inv() const;
friend istream& operator>>(istream& is, M& r) { ll x; is >> x; r = M(x); return is; }
friend ostream& operator<<(ostream& os, const M& r) { return os << r.v; }
};
template<uint MD>
ModInt<MD> pow(ModInt<MD> x, ll n) {
ModInt<MD> r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
template<uint MD>
ModInt<MD> ModInt<MD>::inv() const { return pow(*this, MD - 2); }
// or copy egcd and {return egcd(MD, v, 1).second;}
// if MD is from input
// this line is necessary, read later as you wish
// int ModInt::MD;
using Mint = ModInt<998244353>;
// using Mint = double;
const int R = 20210926;
const int M = 50010;
int n;
Mint f1[M];
Mint f2[M];
void solve() {
cin >> n;
if (n <= 3) {
cout << n << "\n";
return;
}
int p = 1;
while ((p + 1) * (p + 1) <= n) {
p++;
}
f1[1] = 1;
for (int d = 2; d <= p; d++) {
int x = (n / d);
Mint ans = 1;
int k = 2;
while (k <= R && k * x <= n) {
int cur_d = n / (k * x);
int rk = (n / (cur_d * x));
rk = min(rk, R);
ans += f1[cur_d] * (rk - k + 1);
k = rk + 1;
}
f1[d] = ans;
}
int rgt = (n / (p + 1));
for (int x = rgt; x >= 1; x--) {
Mint ans = 1;
int k = 2;
while (k <= R && k * x <= n) {
if (k * x > rgt) {
int cur_d = n / (k * x);
int rk = (n / (cur_d * x));
rk = min(rk, R);
ans += f1[cur_d] * (rk - k + 1);
k = rk + 1;
} else {
ans += f2[k * x];
k++;
}
}
f2[x] = ans;
}
cout << f2[1] << "\n";
}
int main() {
#ifdef ONPC
freopen("input", "r", stdin);
#endif
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
//cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3864kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3984kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3988kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 10ms
memory: 3856kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 49ms
memory: 3848kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 267ms
memory: 3856kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 270ms
memory: 3816kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 266ms
memory: 3808kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 270ms
memory: 3972kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 271ms
memory: 3868kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 266ms
memory: 3916kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 270ms
memory: 3856kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 269ms
memory: 3924kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 267ms
memory: 3808kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 249ms
memory: 3852kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3980kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 8ms
memory: 3848kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 8ms
memory: 3992kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 7ms
memory: 3872kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 5ms
memory: 3808kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 7ms
memory: 3772kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"