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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#766603 | #9553. The Hermit | IntStar# | AC ✓ | 208ms | 34592kb | C++17 | 1.7kb | 2024-11-20 17:55:44 | 2024-11-20 17:55:52 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std ;
const int N = 3e5 + 10 , mod = 998244353 ;
typedef pair<int , int> PII ;
mt19937_64 rng(random_device{}());
int n , m , k ;
int w[N] ;
int f[N][30] ;
int fact[N] , infact[N] , p[N] ;
int qmi(int a, int k, int p){
int res = 1;
while (k){
if (k & 1) res = res * a % p;
a = a * a % p;
k >>= 1;
}
return res ;
}
int C(int a , int b){ // a 中 取 b 个
return fact[a] * infact[b] % mod * infact[a - b] % mod ;
}
vector<int> get(int x){
vector<int> res ;
for(int i = 1 ; i <= x / i ; i ++){
if(i == x)continue ;
if(x % i == 0){
res.push_back(i) ;
if(x / i != i and x / i != x){
res.push_back(x / i) ;
}
}
}
return res ;
}
void solve(){
cin >> n >> m ;
int res = C(n , m) * m % mod ;
for(int i = 1 ; i <= n ; i ++){
auto vc = get(i) ;
f[i][1] = 1 ;
for(int j = 2 ; j <= 20 ; j ++){
for(auto c : vc){
f[i][j] = (f[i][j] + f[c][j - 1]) % mod ;
}
}
int cnt = n / i - 1 ;
for(int j = 1 ; j <= 20 ; j ++){
int d = m - j ;
if(d < 0 or d > cnt)continue ;
//res = (res - f[i][j] * C(cnt , d) % mod) ; //
res = (res - f[i][j] * C(cnt , d) % mod) % mod ;
res = (res + mod) % mod ;
}
}
cout << (res + mod) % mod ;
}
signed main(){
ios::sync_with_stdio(0) ; cin.tie(0) ; cout.tie(0) ;
int t = 1 ;
fact[0] = infact[0] = 1;
for (int i = 1; i < N / 2 ; i ++)
{
fact[i] = fact[i - 1] * i % mod;
infact[i] = infact[i - 1] * qmi(i, mod - 2, mod) % mod;
}
// cin >> t ;
while(t --){
solve() ;
}
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: 18ms
memory: 9660kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 18ms
memory: 9716kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 190ms
memory: 31724kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 29ms
memory: 12632kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 187ms
memory: 34292kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 188ms
memory: 32584kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 191ms
memory: 32240kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 14ms
memory: 9664kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 18ms
memory: 12020kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 18ms
memory: 11996kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 14ms
memory: 9728kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 18ms
memory: 9748kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 18ms
memory: 9972kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 14ms
memory: 10016kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 19ms
memory: 11824kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 19ms
memory: 11764kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 18ms
memory: 9960kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 197ms
memory: 33288kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 60ms
memory: 18372kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 26ms
memory: 11764kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 18ms
memory: 9776kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 206ms
memory: 33008kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 203ms
memory: 32792kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 196ms
memory: 34580kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 27ms
memory: 10968kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 198ms
memory: 34256kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 206ms
memory: 32192kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 204ms
memory: 32028kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 190ms
memory: 33528kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 30ms
memory: 13888kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 198ms
memory: 33588kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 193ms
memory: 34324kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 199ms
memory: 32268kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 208ms
memory: 34592kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 200ms
memory: 34284kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 186ms
memory: 32040kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 186ms
memory: 32220kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 18ms
memory: 11708kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 18ms
memory: 9772kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 18ms
memory: 9776kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 18ms
memory: 9948kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 18ms
memory: 9724kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 14ms
memory: 9720kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 14ms
memory: 9672kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 18ms
memory: 9748kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 18ms
memory: 9772kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 117ms
memory: 26776kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 118ms
memory: 26096kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 118ms
memory: 26328kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 206ms
memory: 32244kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 194ms
memory: 33356kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 204ms
memory: 32156kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 192ms
memory: 34300kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed