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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 |
---|---|---|---|---|---|---|---|---|---|
#761354 | #9553. The Hermit | cppcppcpp3 | AC ✓ | 24ms | 19528kb | C++14 | 1.7kb | 2024-11-18 22:21:03 | 2024-11-18 22:21:04 |
Judging History
answer
#include<bits/stdc++.h>
#define FIO(file) freopen(file".in","r",stdin),freopen(file".out","w",stdout)
using namespace std;
const int N=1e6+5;
const int mod=998244353;
static char buf[1000000],*p1=buf,*p2=buf;
#define getchar() p1==p2&&(p2=(p1=buf)+fread(buf,1,1000000,stdin),p1==p2)?EOF:*p1++
inline int wrd(){int x=0,f=1;char c=getchar();while(c<'0' || c>'9'){if(c=='-') f=-1;c=getchar();}while(c>='0' && c<='9') {x=(x<<3)+(x<<1)+c-48;c=getchar();}return x*f;}
inline void write(int x){static char buf[20];static int len=-1;if(x<0)putchar('-'),x=-x;do buf[++len]=x%10,x/=10;while(x);while(len>=0)putchar(buf[len--]+48);}
int qpw(int a,int b){
int as=1;
while(b){
if(b&1) as=1ll*as*a%mod;
a=1ll*a*a%mod,b>>=1;
}
return as;
}
void ad(int &a,int b){(a+=b)>=mod&&(a-=mod);}
int n,m,as,fac[N],inv[N],pr[N],cnt;
bool vs[N];
void init(int n){
fac[0]=1; for(int i=1;i<=n;++i) fac[i]=1ll*fac[i-1]*i%mod;
inv[n]=qpw(fac[n],mod-2); for(int i=n;i;--i) inv[i-1]=1ll*inv[i]*i%mod;
for(int i=2;i<=n;++i){
if(!vs[i]) pr[++cnt]=i;
for(int j=1;j<=cnt&&i*pr[j]<=n;++j){
vs[i*pr[j]]=1;
if(i%pr[j]==0) break;
}
}
}
int C(int n,int m){
if(n<m || m<0) return 0;
return 1ll*fac[n]*inv[m]%mod*inv[n-m]%mod;
}
int f[N],g[N];
signed main(){
m=wrd(),n=wrd(),init(N-5);
int len=min(n,(int)log2(m)+1);
for(int i=1;i<=m;++i) f[i]=1,ad(as,C(m/i-1,n-1));
for(int k=2;k<=len;++k){
for(int i=1;i<=m;++i) g[i]=f[i];
for(int j=1;j<=cnt&&pr[j]<=m;++j){
for(int i=1;i*pr[j]<=m;++i) ad(g[i*pr[j]],g[i]);
}
for(int i=1;i<=m;++i){
f[i]=(g[i]-f[i]+mod)%mod;
ad(as,1ll*f[i]*C(m/i-1,n-k)%mod);
}
}
as=(1ll*n*C(m,n)%mod-as+mod)%mod;
write(as);
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 15ms
memory: 15240kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 11ms
memory: 15700kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 17ms
memory: 15892kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 15ms
memory: 15876kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 22ms
memory: 17572kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 16ms
memory: 19268kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 19ms
memory: 19380kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 11ms
memory: 16012kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 15ms
memory: 15164kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 15ms
memory: 15284kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 11ms
memory: 15696kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 14ms
memory: 15708kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 15ms
memory: 15576kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 15ms
memory: 19020kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 14ms
memory: 15040kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 7ms
memory: 19048kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 15ms
memory: 17156kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 22ms
memory: 19284kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 13ms
memory: 17332kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 15ms
memory: 15200kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 7ms
memory: 15620kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 22ms
memory: 15864kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 22ms
memory: 17764kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 18ms
memory: 16100kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 15ms
memory: 15920kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 16ms
memory: 17800kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 17ms
memory: 17616kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 19ms
memory: 19364kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 15ms
memory: 17712kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 12ms
memory: 16160kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 20ms
memory: 19528kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 12ms
memory: 17688kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 24ms
memory: 16204kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 23ms
memory: 19296kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 15ms
memory: 16696kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 18ms
memory: 19476kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 15ms
memory: 17532kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 11ms
memory: 15820kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 15ms
memory: 15164kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 15ms
memory: 15236kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 3ms
memory: 15732kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 11ms
memory: 18924kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 11ms
memory: 15804kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 11ms
memory: 15380kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 11ms
memory: 16148kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 11ms
memory: 16240kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 12ms
memory: 17484kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 17ms
memory: 16008kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 12ms
memory: 15408kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 22ms
memory: 16508kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 22ms
memory: 16252kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 16ms
memory: 16100kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 18ms
memory: 17584kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed