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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#93825 | #5817. 小学生数学题 | HaccerKat | 100 ✓ | 761ms | 158528kb | C++20 | 7.2kb | 2023-04-03 00:35:03 | 2023-04-03 00:35:07 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
template<typename T>
int SIZE(T (&t)){
return t.size();
}
template<typename T, size_t N>
int SIZE(T (&t)[N]){
return N;
}
string to_string(char t){
return "'" + string({t}) + "'";
}
string to_string(bool t){
return t ? "true" : "false";
}
string to_string(const string &t, int x1=0, int x2=1e9){
string ret = "";
for(int i = min(x1,SIZE(t)), _i = min(x2,SIZE(t)-1); i <= _i; ++i){
ret += t[i];
}
return '"' + ret + '"';
}
string to_string(const char* t){
string ret(t);
return to_string(ret);
}
template<size_t N>
string to_string(const bitset<N> &t, int x1=0, int x2=1e9){
string ret = "";
for(int i = min(x1,SIZE(t)); i <= min(x2,SIZE(t)-1); ++i){
ret += t[i] + '0';
}
return to_string(ret);
}
template<typename T, typename... Coords>
string to_string(const T (&t), int x1=0, int x2=1e9, Coords... C);
template<typename T, typename S>
string to_string(const pair<T, S> &t){
return "(" + to_string(t.first) + ", " + to_string(t.second) + ")";
}
template<typename T, typename... Coords>
string to_string(const T (&t), int x1, int x2, Coords... C){
string ret = "[";
x1 = min(x1, SIZE(t));
auto e = begin(t);
advance(e,x1);
for(int i = x1, _i = min(x2,SIZE(t)-1); i <= _i; ++i){
ret += to_string(*e, C...) + (i != _i ? ", " : "");
e = next(e);
}
return ret + "]";
}
template<int Index, typename... Ts>
struct print_tuple{
string operator() (const tuple<Ts...>& t) {
string ret = print_tuple<Index - 1, Ts...>{}(t);
ret += (Index ? ", " : "");
return ret + to_string(get<Index>(t));
}
};
template<typename... Ts>
struct print_tuple<0, Ts...> {
string operator() (const tuple<Ts...>& t) {
return to_string(get<0>(t));
}
};
template<typename... Ts>
string to_string(const tuple<Ts...>& t) {
const auto Size = tuple_size<tuple<Ts...>>::value;
return print_tuple<Size - 1, Ts...>{}(t);
}
void dbgr(){;}
template<typename Heads, typename... Tails>
void dbgr(Heads H, Tails... T){
cout << to_string(H) << " | ";
dbgr(T...);
}
void dbgs(){;}
template<typename Heads, typename... Tails>
void dbgs(Heads H, Tails... T){
cout << H << " ";
dbgs(T...);
}
/*
formatted functions:
*/
/*
consider __VA_ARGS__ as a whole:
dbgv() prints values only
dbg() prints name and values
*/
#define dbgv(...) cout << to_string(__VA_ARGS__) << endl;
#define dbg(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgv(__VA_ARGS__);
//#define dbg(...)
/*
consider __VA_ARGS__ as a sequence of arguments:
dbgr() prints values only
dbgm() prints names and values
*/
#define dbgr(...) dbgr(__VA_ARGS__); cout << endl;
#define dbgm(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgr(__VA_ARGS__);
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
typedef long long ll;
typedef unsigned int ui;
typedef unsigned long long ull;
typedef pair<int, int> pi;
typedef pair<ll, ll> pll;
/*
000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
0000000
DO IT NOW!!!
*/
// using u128 = __uint128_t;
// using i128 = __int128;
constexpr int mod = 998244353;
const int mod2 = 998244352;
const int N = 20000005;
const int LOG = 20;
const int inf = 1e9;
const double eps = 1e-11;
string s;
int n, m, k, qq;
int sieve[N], f[N];
int add(int x, int y) {
return (x + y >= mod ? x + y - mod : x + y);
}
int mul(int x, int y) {
return (ll)x * y % mod;
}
int power(int x, int y) {
int res = 1;
while (y > 0) {
if (y & 1) res = mul(res, x);
x = mul(x, x);
y >>= 1;
}
return res;
}
void solve() {
cin >> n >> k;
int out = 1, p = (ll)(mod - 2) * k % mod2, cur = 1;
for (int i = 2; i <= n; i++) {
// dbgm(n, i);
cur = mul(cur, i);
if (sieve[i] != 0) {
f[i] = mul(f[sieve[i]], f[i / sieve[i]]);
out = add(mul(f[i], cur), out);
// dbgm(out, cur);
continue;
}
else {
f[i] = power(i, p);
out = add(mul(f[i], cur), out);
}
if ((ll)i * i > n) continue;
for (int j = i * i; j <= n; j += i) {
sieve[j] = i;
}
// dbgm(out, cur);
}
// dbg(f);
cout << out << "\n";
/*
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000 000000000000
000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000
*/
}
int32_t main() {
std::ios::sync_with_stdio(false);
cin.tie(NULL);
solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 10
Accepted
time: 323ms
memory: 77556kb
input:
9450395 1
output:
688545438
result:
ok single line: '688545438'
Test #2:
score: 10
Accepted
time: 268ms
memory: 76936kb
input:
8978812 1
output:
334565356
result:
ok single line: '334565356'
Test #3:
score: 10
Accepted
time: 287ms
memory: 75144kb
input:
8944235 1
output:
982802915
result:
ok single line: '982802915'
Test #4:
score: 10
Accepted
time: 206ms
memory: 61344kb
input:
7081118 3
output:
599009773
result:
ok single line: '599009773'
Test #5:
score: 10
Accepted
time: 251ms
memory: 67340kb
input:
7904241 3
output:
871243720
result:
ok single line: '871243720'
Test #6:
score: 10
Accepted
time: 342ms
memory: 82840kb
input:
9921275 3
output:
549818101
result:
ok single line: '549818101'
Test #7:
score: 10
Accepted
time: 633ms
memory: 143200kb
input:
17575748 14135489
output:
69236780
result:
ok single line: '69236780'
Test #8:
score: 10
Accepted
time: 761ms
memory: 158528kb
input:
19858362 14822524
output:
239890381
result:
ok single line: '239890381'
Test #9:
score: 10
Accepted
time: 688ms
memory: 153348kb
input:
18848696 15530895
output:
88125041
result:
ok single line: '88125041'
Test #10:
score: 10
Accepted
time: 629ms
memory: 145380kb
input:
17787945 13890407
output:
989967864
result:
ok single line: '989967864'
Extra Test:
score: 0
Extra Test Passed