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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#149157 | #6740. Function | UFRJ | AC ✓ | 520ms | 5800kb | C++20 | 2.8kb | 2023-08-24 02:55:38 | 2023-08-24 02:55:39 |
Judging History
answer
#include<bits/stdc++.h>
using lint = int64_t;
using namespace std;
int minv(int a, int m) {
a %= m; assert(a);
return a == 1 ? 1 : int(m - int64_t(minv(m, a)) * m / a);
}
template<unsigned M_> struct modnum {
static constexpr unsigned M = M_;
using ll = int64_t; using ull = uint64_t; unsigned x;
modnum& norm(unsigned a) { x = a < M ? a : a - M; return *this; }
constexpr modnum(ll a = 0U) : x(unsigned((a %= ll(M)) < 0 ? a + ll(M) : a)) {}
explicit operator int() const { return x; }
modnum& operator+=(const modnum& a) { return norm(x + a.x); }
modnum& operator-=(const modnum& a) { return norm(x - a.x + M); }
modnum& operator*=(const modnum& a) { x = unsigned(ull(x) * a.x % M); return *this; }
modnum& operator/=(const modnum& a) { return (*this *= a.inv()); }
modnum operator+(const modnum& a) const { return (modnum(*this) += a); }
modnum operator-(const modnum& a) const { return (modnum(*this) -= a); }
modnum operator*(const modnum& a) const { return (modnum(*this) *= a); }
modnum operator/(const modnum& a) const { return (modnum(*this) /= a); }
template<typename T> friend modnum operator+(T a, const modnum& b) { return (modnum(a) += b); }
template<typename T> friend modnum operator-(T a, const modnum& b) { return (modnum(a) -= b); }
template<typename T> friend modnum operator*(T a, const modnum& b) { return (modnum(a) *= b); }
template<typename T> friend modnum operator/(T a, const modnum& b) { return (modnum(a) /= b); }
modnum operator+() const { return *this; }
modnum operator-() const { return modnum() - *this; }
modnum pow(ll e) const {
if (e < 0) return inv().pow(-e);
modnum b = x, xe = 1U;
for (; e; e >>= 1) { if (e & 1) xe *= b; b *= b; }
return xe;
}
modnum inv() const { return minv(x, M); }
friend modnum inv(const modnum& a) { return a.inv(); }
explicit operator bool() const { return x; }
friend bool operator==(const modnum& a, const modnum& b) { return a.x == b.x; }
friend bool operator!=(const modnum& a, const modnum& b) { return a.x != b.x; }
friend ostream &operator<<(ostream& os, const modnum& a) { return os << a.x; }
friend istream &operator>>(istream& in, modnum& n) { ll v_; in >> v_; n = modnum(v_); return in; }
};
using lint = int64_t;
using mod = modnum<998244353>;
unordered_map<lint, mod> memo;
mod solve(lint n) {
//cout << "N: " << n << endl;
mod ans = 1;
if(memo.count(n)) return memo[n];
for(lint a = 2, b; a <= n; a = b + 1) {
b = n / (n / a);
if(b > 20210926) {
lint cur = (20210926-a+1);
return memo[n] = (ans) + (cur * solve(n/a));
}
lint cur = (b-a+1);
ans += cur * solve(n/a);
}
return memo[n] = ans;
}
int main(void) {
cin.tie(nullptr)->sync_with_stdio(false);
lint n;
cin >> n;
cout << solve(n) << endl;
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3448kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3448kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3516kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3452kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3520kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 2ms
memory: 3544kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 4ms
memory: 3544kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 16ms
memory: 3752kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 91ms
memory: 4088kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 504ms
memory: 5800kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 512ms
memory: 5752kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 510ms
memory: 5704kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 505ms
memory: 5736kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 520ms
memory: 5796kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 510ms
memory: 5764kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 510ms
memory: 5692kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 508ms
memory: 5728kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 503ms
memory: 5692kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 463ms
memory: 5688kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 5ms
memory: 3580kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 14ms
memory: 3764kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 14ms
memory: 3752kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 12ms
memory: 3652kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 4ms
memory: 3724kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 13ms
memory: 3720kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"