QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#807277 | #9553. The Hermit | hjh123455 | AC ✓ | 344ms | 57364kb | C++23 | 2.4kb | 2024-12-09 20:45:56 | 2024-12-09 20:45:57 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod = 998244353;
int qmi(int a, int b)
{
int res = 1;
while (b)
{
if (b & 1)
res = res * a % mod;
b >>= 1;
a = a * a % mod;
}
return res;
}
int prime[100010],cnt,phi[100010];
void euler(int n){
for(int i=2;i<=n;i++){
if(!phi[i]){
prime[++cnt]=i;
phi[i]=i;
}
for(int j=1;j<=cnt&&prime[j]<=n/i;j++){
phi[i*prime[j]]=prime[j];
if(i%prime[j]==0)break;
}
}
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
euler(1e5);
vector<int> f(1e5 + 10);
vector<int> inv(1e5 + 10);
f[0] = inv[0] = 1;
for (int i = 1; i <= 1e5; i++)
f[i] = f[i - 1] * i % mod;
inv[(int)1e5] = qmi(f[(int)1e5], mod - 2);
for(int i=1e5-1;i>=1;i--){
inv[i]=inv[i+1]*(i+1)%mod;
}
int n, m;
cin >> n >> m;
auto c = [&](int a, int b) -> int
{
if (a < 0 || b < 0 || a < b)
return 0;
return f[a] * inv[b] % mod * inv[a - b] % mod;
};
vector<int> d(n + 1);
vector<vector<int>>dp(n+1,vector<int>(60));
for (int i = 1; i <= n; i++)
{
dp[i][1]=1;
for (int j = 2*i; j <= n; j += i)
{
for(int k=2;k<=60;k++){
dp[j][k]=(dp[j][k]+dp[i][k-1])%mod;
}
}
}
int ans = 0;
for (int i = 1; i <= n; i++)
{
int tmp=0;
for(int j=1;j<=60;j++){
tmp=(tmp+dp[i][j]*c(n/i-1,m-j)%mod)%mod;
ans=(ans+dp[i][j]*c(n/i-1,m-j)%mod)%mod;
}
}
ans=(m*c(n,m)%mod-ans)%mod;
ans = (ans % mod + mod) % mod;
cout << ans << '\n';
// vector<int>cnt(12);
// for(int i=0;i<(1<<n);i++){
// vector<int>tmp;
// for(int j=0;j<n;j++){
// if(i>>j&1){
// tmp.push_back(j+1);
// }
// }
// if(tmp.size()!=m)continue;
// vector<int>gcd(tmp.size());
// gcd[tmp.size()-1]=tmp.back();
// for(int i=tmp.size()-2;i>=0;i--){
// gcd[i]=__gcd(gcd[i+1],tmp[i]);
// }
// for(int i=0;i<(int)tmp.size();i++){
// if(tmp[i]==gcd[i]){
// cnt[tmp[i]]++;
// }
// else break;
// }
// }
}
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: 3ms
memory: 5340kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 3ms
memory: 5520kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 324ms
memory: 57248kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 15ms
memory: 11708kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 323ms
memory: 57172kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 305ms
memory: 57088kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 320ms
memory: 57200kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 5308kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5528kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 3ms
memory: 5476kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 5556kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 5500kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 5676kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 4ms
memory: 5968kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 2ms
memory: 6484kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 4ms
memory: 5944kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 4ms
memory: 5956kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 328ms
memory: 57248kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 88ms
memory: 23388kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 13ms
memory: 12160kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 3ms
memory: 5556kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 316ms
memory: 57172kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 327ms
memory: 57184kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 315ms
memory: 57156kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 15ms
memory: 10712kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 332ms
memory: 57364kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 329ms
memory: 57160kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 325ms
memory: 57312kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 310ms
memory: 57092kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 16ms
memory: 12504kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 338ms
memory: 57164kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 324ms
memory: 57248kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 340ms
memory: 57320kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 331ms
memory: 57160kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 318ms
memory: 57120kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 304ms
memory: 54000kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 311ms
memory: 54068kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 3ms
memory: 5416kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 3ms
memory: 5288kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 3ms
memory: 5288kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 3ms
memory: 5576kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 3ms
memory: 5504kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 3ms
memory: 5444kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 3ms
memory: 5524kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 3ms
memory: 5468kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 3ms
memory: 5292kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 228ms
memory: 42332kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 199ms
memory: 39216kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 208ms
memory: 39404kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 326ms
memory: 56892kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 344ms
memory: 57064kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 332ms
memory: 56956kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 332ms
memory: 57180kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed