QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#759470 | #9553. The Hermit | mango09 | WA | 977ms | 83720kb | C++14 | 2.1kb | 2024-11-18 09:04:56 | 2024-11-18 09:05:06 |
Judging History
answer
// Ice cream? I scream!
#include <bits/stdc++.h>
#ifdef ONLINE_JUDGE
#define freopen Chitanda
#endif
#define wjy namespace
#define xsy std
typedef long long ll;
typedef unsigned long long ull;
using wjy xsy;
template<typename T> void debug(string s, T x) {cerr << " " << s << " = " << x << " \n";}
template<typename T, typename... Args> void debug(string s, T x, Args... args) {for (int i = 0, b = 0; i < (int)s.size(); i++) if (s[i] == '(' || s[i] == '{') b++;else if (s[i] == ')' || s[i] == '}') b--;else if (s[i] == ',' && b == 0) {cerr << " " << s.substr(0, i) << " = " << x << " |";debug(s.substr(s.find_first_not_of(' ', i + 1)), args...);break;}}
#ifdef ONLINE_JUDGE
#define Debug(...)
#else
#define Debug(...) debug(#__VA_ARGS__, __VA_ARGS__)
#endif
const int MAXN = 1e5 + 5;
const int MOD = 998244353;
int Qpow(int a, int b) {int base = a, ans = 1; while (b) {if (b & 1) ans = 1ll * ans * base % MOD; base = 1ll * base * base % MOD; b >>= 1;} return ans;}
int Inv(int a) {return Qpow(a, MOD - 2);}
int fac[MAXN], ifac[MAXN];
void Init(int n)
{
fac[0] = 1;
for (int i = 1; i <= n; i++)
fac[i] = 1ll * fac[i - 1] * i % MOD;
ifac[n] = Inv(fac[n]);
for (int i = n - 1; ~i; i--)
ifac[i] = 1ll * ifac[i + 1] * (i + 1) % MOD;
}
int C(int n, int m)
{
if (n < m)
return 0;
return 1ll * fac[n] * ifac[n - m] % MOD * ifac[m] % MOD;
}
int m, n, cnt;
int d[MAXN];
unordered_map<ull, int> f;
ull Hash(int x, int y)
{
return ((ull)x << 32) | (ull)y;
}
int main()
{
scanf("%d%d", &m, &n);
Init(m);
int ans = 1ll * n * C(m, n) % MOD, tot = 0;
// Debug(C(m, n), ans);
for (int i = 1; i <= m; i++)
{
f[Hash(i, 1)] = 1;
for (int k = 2; i * k <= m; k++)
for (int j = 1; j <= ceil(log2(i)) + 1; j++)
f[Hash(i * k, j + 1)] = (f[Hash(i * k, j + 1)] + f[Hash(i, j)]) % MOD;
}
for (int i = 1; i <= m; i++)
{
for (int j = 1; j <= ceil(log2(i)) + 1; j++)
{
// Debug(i, j, f[{i, j}]);
tot = (tot + 1ll * f[Hash(i, j)] * C((m / i) - 1, n - j) % MOD) % MOD;
}
}
// Debug(tot);
// tot = (tot + 1ll * (n - 1) * cnt % MOD) % MOD;
printf("%d\n", (ans - tot + MOD) % MOD);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 4084kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 4012kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 959ms
memory: 83624kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 31ms
memory: 9496kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 954ms
memory: 83720kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: -100
Wrong Answer
time: 977ms
memory: 83636kb
input:
100000 1
output:
575723243
result:
wrong answer 1st numbers differ - expected: '0', found: '575723243'