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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#788169 | #9553. The Hermit | frankly6# | AC ✓ | 48ms | 35132kb | C++17 | 1.9kb | 2024-11-27 16:06:32 | 2024-11-27 16:06:35 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<vector>
#include<queue>
#define int long long
using namespace std;
typedef long long ll;
const int p=998244353;
const int MX=100010;
int N, M, ans;
int fac[MX], invf[MX], dep[MX][20], in[MX];
vector<int> e[MX];
bool vis[MX];
int read()
{
int r=0, f=1; char ch=getchar();
while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();}
while(ch>='0'&&ch<='9') {r=r*10+ch-'0'; ch=getchar();}
return r*f;
}
int qpow(int x, int pow)
{
int ans=1;
while(pow)
{
if(pow&1) ans=ans*x%p;
x=x*x%p;
pow>>=1;
}
return ans;
}
int inv(int x) {return qpow(x,p-2);}
int C(int n, int m)
{
if(m<0) return 0;
if(n==0&&m==0) return 1;
if(m>n) return ll(0);
else return fac[n]*invf[m]%p*invf[n-m]%p;
}
void norm()
{
ans=(ans%p+p)%p;
}
queue<int> q;
void bfs()
{
q.push(1);
while(!q.empty())
{
int x=q.front(); q.pop();
dep[x][1]=1;
// cout << "x=" << x << '\n';
for(int i=1;i<=18;i++)
{
// if(dep[x][i]) cout << " dep[x][i]=" << dep[x][i] << '\n';
ans-=dep[x][i]*C((M-x)/x,N-i)%p;
}
norm();
for(auto u:e[x])
{
in[u]--;
for(int i=2;i<=20;i++)
dep[u][i]+=dep[x][i-1];
if(!in[u]) q.push(u);
}
}
}
signed main()
{
// freopen("testdata.in","r",stdin);
fac[0]=1;
for(int i=1;i<=100000;i++) fac[i]=fac[i-1]*i%p;
for(int i=0;i<=100000;i++) invf[i]=inv(fac[i]);
M=read(); N=read();
ans=C(M,N)*N%p;
// cout << "ans=" << ans << '\n';
for(int i=1;i<=M;i++)
{
for(int j=2*i;j<=M;j+=i)
{
in[j]++;
e[i].emplace_back(j);
}
}
bfs();
norm();
cout << ans << '\n';
return (0-0);
}
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: 13ms
memory: 9716kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 13ms
memory: 11624kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 41ms
memory: 35028kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 16ms
memory: 12656kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 41ms
memory: 35112kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 42ms
memory: 35092kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 40ms
memory: 34888kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 13ms
memory: 11608kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 10ms
memory: 11492kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 13ms
memory: 9580kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 13ms
memory: 9572kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 13ms
memory: 9200kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 13ms
memory: 11832kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 13ms
memory: 11684kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 13ms
memory: 9480kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 13ms
memory: 9352kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 13ms
memory: 11900kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 45ms
memory: 34956kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 24ms
memory: 19056kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 12ms
memory: 12924kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 13ms
memory: 11620kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 45ms
memory: 35064kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 40ms
memory: 34952kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 41ms
memory: 35076kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 16ms
memory: 12036kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 42ms
memory: 34996kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 39ms
memory: 34876kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 41ms
memory: 35024kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 44ms
memory: 34964kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 13ms
memory: 14856kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 41ms
memory: 35032kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 43ms
memory: 35084kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 38ms
memory: 35028kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 45ms
memory: 35132kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 40ms
memory: 34892kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 39ms
memory: 34276kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 37ms
memory: 34224kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 10ms
memory: 9448kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 6ms
memory: 11628kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 13ms
memory: 9512kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 12ms
memory: 9768kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 8ms
memory: 9716kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 6ms
memory: 11596kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 13ms
memory: 11636kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 9ms
memory: 9564kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 6ms
memory: 11564kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 34ms
memory: 26920kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 24ms
memory: 26636kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 28ms
memory: 26688kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 44ms
memory: 35028kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 41ms
memory: 34912kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 48ms
memory: 34932kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 44ms
memory: 34832kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed