QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#754087 | #9553. The Hermit | ucup-team5318# | AC ✓ | 166ms | 45060kb | C++14 | 1.8kb | 2024-11-16 14:11:50 | 2024-11-16 14:11:50 |
Judging History
你现在查看的是测评时间为 2024-11-16 14:11:50 的历史记录
- [2024-11-18 19:43:48]
- hack成功,自动添加数据
- (/hack/1196)
- [2024-11-16 14:11:50]
- 提交
answer
#include<bits/stdc++.h>
using namespace std;
const int N=1e5+5,mod=998244353;
int fac[N],inv[N],n,m;
int power(int a,int b){int res=1;for(;b;b>>=1){if(b&1)res=1ll*res*a%mod;a=1ll*a*a%mod;}return res;}
void init()
{
fac[0]=1;for(int i=1;i<N;i++)fac[i]=1ll*fac[i-1]*i%mod;
inv[N-1]=power(fac[N-1],mod-2);
for(int i=N-2;i>=0;i--)inv[i]=1ll*inv[i+1]*(i+1)%mod;
}
int c(int x,int y){if(x<0 || y<0 || x<y)return 0;return 1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;}
int d[N];
vector<int>g[N],f[N];
int h[N][21],h1[N][21];
void calc(int len)
{
if(g[len].size())return ;
g[len].resize(len+1);
for(int i=1;i<=len;i++)
{
g[len][i]=c(len,i);
for(int j=1;j<=len;j++)
{
if(len/j-1>=i-1)g[len][i]=(g[len][i]-c(len/j-1,i-1)+mod)%mod;
else break;
}
}
}
vector<int>sd[N];
int main()
{
// freopen(".in.txt","r",stdin);
init();
scanf("%d %d",&n,&m);
for(int i=1;i<=n;i++)for(int j=i;j<=n;j+=i)d[j]++,sd[j].push_back(i);
for(int i=1;i<=n;i++)calc(n/i);
for(int i=1;i<=n;i++)
{
h[i][1]=1;
for(auto j:sd[i])if(j!=i)for(int k=2;k<=20;k++)h[i][k]=(h[i][k]+h[j][k-1])%mod;
}
for(int i=1;i<=n;i++)
{
h1[i][0]=1;
for(auto j:sd[i])for(int k=1;k<=20;k++)h1[i][k]=(h1[i][k]+h[j][k])%mod;
}
int ans=0;
for(int i=n;i>=1;i--)
{
int num=n/i-1;
f[i].resize(num+2);
int res=0;
for(int j=1;j<=min(m,num);j++)
{
f[i][j]=1ll*g[n/i][j]*j%mod;
for(int k=i*2;k<=n;k+=i)
{
if(j>=f[k].size())break;
f[i][j]=(f[i][j]-f[k][j]+mod)%mod;
}
if(m-j<=20)
{
// cout<<i<<" "<<m-j<<" "<<h[i][m-j]<<" "<<f[i][j]<<" "<<c(d[i],m-j)<<endl;
ans=(ans+1ll*f[i][j]*h1[i][m-j])%mod;
}
// res=(res+1ll*f[i][j]*c(d[i],m-j))%mod;
}
// cout<<i<<" "<<res<<endl;
}
printf("%d\n",ans);
return 0;
}
这程序好像有点Bug,我给组数据试试?
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 15848kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 3ms
memory: 15840kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 151ms
memory: 45028kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 15ms
memory: 17476kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 155ms
memory: 44932kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 126ms
memory: 44968kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 136ms
memory: 44928kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 15880kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 4ms
memory: 15912kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 4ms
memory: 16228kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 3ms
memory: 16280kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 16168kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 15896kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 4ms
memory: 15832kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 5ms
memory: 16520kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 15952kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 4ms
memory: 15968kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 150ms
memory: 44952kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 41ms
memory: 29220kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 13ms
memory: 18128kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 16156kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 153ms
memory: 44940kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 153ms
memory: 44972kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 146ms
memory: 44932kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 13ms
memory: 17676kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 126ms
memory: 44848kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 126ms
memory: 45032kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 166ms
memory: 44928kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 154ms
memory: 44864kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 13ms
memory: 19128kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 140ms
memory: 44844kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 146ms
memory: 45060kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 121ms
memory: 44960kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 146ms
memory: 44948kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 144ms
memory: 44848kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 143ms
memory: 43760kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 150ms
memory: 43940kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 4ms
memory: 16148kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 15840kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 3ms
memory: 16212kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 3ms
memory: 16196kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 4ms
memory: 15776kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 3ms
memory: 15836kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 3ms
memory: 13712kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 3ms
memory: 16128kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 3ms
memory: 15788kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 115ms
memory: 37120kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 90ms
memory: 36204kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 78ms
memory: 38576kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 145ms
memory: 44980kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 157ms
memory: 44968kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 138ms
memory: 44916kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 162ms
memory: 45044kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed