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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#756281 | #9553. The Hermit | ucup-team3734# | AC ✓ | 40ms | 12292kb | C++23 | 1.9kb | 2024-11-16 19:41:18 | 2024-11-18 19:50:18 |
Judging History
answer
#include "bits/stdc++.h"
using namespace std;
using ll = long long;
using ld = long double;
#define all(x) (x).begin(), (x).end()
const int mod = 998244353;
int add(int x) {
return x;
}
template<typename... T>
int add(int x, T... y) {
x += add(y...);
if (x >= mod)
x -= mod;
return x;
}
template<typename... T>
int udd(int &x, T... y) {
return x = add(x, y...);
}
template<typename... T>
int sub(int x, T... y) {
return add(x, mod - add(y...));
}
int mul(int x) {
return x;
}
template<typename... T>
int mul(int x, T... y) {
return 1ll * x * mul(y...) % mod;
}
int bin(int x, int to) {
int y = 1;
while (to) {
if (to & 1) {
y = mul(x, y);
}
to >>= 1;
x = mul(x, x);
}
return y;
}
int inv(int x) {
assert(x != 0);
return bin(x, mod - 2);
}
const int M = 100300;
const int A = 20;
int fact[M], ifact[M];
int binom(int n, int k) {
if (n < 0 || k < 0 || n < k)
return 0;
return mul(fact[n], ifact[n - k], ifact[k]);
}
void precalc() {
fact[0] = 1;
for (int i = 1; i < M; ++i) {
fact[i] = mul(i, fact[i - 1]);
}
for (int i = 0; i < M; ++i)
ifact[i] = inv(fact[i]);
}
int d[A][M];
void pre() {
fill(d[1], d[1] + M, 1);
for (int j = 1; j + 1 < A; ++j)
for (int i = 1; i < M; ++i) {
for (int t = 2 * i; t < M; t += i)
udd(d[j + 1][t], d[j][i]);
}
}
int main() {
#ifndef ONLINE_JUDGE
freopen("f.txt", "r", stdin);
#endif
ios_base::sync_with_stdio(false);
precalc();
pre();
int n, m;
cin >> m >> n;
int ans = mul(n, binom(m, n));
for (int j = 1; j < A && j <= n; ++j)
for (int x = 1; x <= m; ++x) {
int bon = d[j][x];
if (n > j)
bon = mul(bon, binom((m / x) - 1, n - j));
// cerr << "len = " << j << " pivot = " << x << " cnt ways = " << d[j][x] << " total = " << bon << "\n";
ans = sub(ans, bon);
}
cout << ans << "\n";
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 37ms
memory: 11820kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 35ms
memory: 11960kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 35ms
memory: 11888kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 33ms
memory: 11900kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 32ms
memory: 12048kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 29ms
memory: 11868kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 40ms
memory: 11864kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 36ms
memory: 11832kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 36ms
memory: 11896kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 31ms
memory: 11828kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 30ms
memory: 12240kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 21ms
memory: 11820kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 37ms
memory: 11824kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 25ms
memory: 11884kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 31ms
memory: 11876kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 34ms
memory: 12020kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 27ms
memory: 11880kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 38ms
memory: 11872kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 36ms
memory: 12124kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 31ms
memory: 12224kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 36ms
memory: 11940kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 39ms
memory: 11952kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 31ms
memory: 11900kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 37ms
memory: 11824kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 35ms
memory: 12120kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 28ms
memory: 11876kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 29ms
memory: 12020kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 30ms
memory: 12092kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 39ms
memory: 11836kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 32ms
memory: 11868kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 27ms
memory: 11956kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 36ms
memory: 11880kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 35ms
memory: 11940kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 36ms
memory: 11884kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 32ms
memory: 11884kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 34ms
memory: 12288kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 33ms
memory: 11936kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 32ms
memory: 11888kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 31ms
memory: 12292kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 25ms
memory: 11832kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 32ms
memory: 11892kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 36ms
memory: 11824kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 22ms
memory: 11900kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 34ms
memory: 11884kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 32ms
memory: 11904kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 29ms
memory: 11896kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 35ms
memory: 11960kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 35ms
memory: 11892kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 38ms
memory: 11940kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 31ms
memory: 11888kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 36ms
memory: 11820kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 33ms
memory: 11908kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 31ms
memory: 12020kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed