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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 |
---|---|---|---|---|---|---|---|---|---|
#797358 | #9553. The Hermit | HalloWorld | AC ✓ | 159ms | 29480kb | C++20 | 1.5kb | 2024-12-02 21:27:38 | 2024-12-02 21:27:39 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define SZ(x) ((int)(x).size())
#define debug(a) cout<<#a<<":"<<a<<endl
#define rep(i,a,b) for(int i=a;i<=b;i++)
#define per(i,b,a) for(int i=b;i>=a;i--)
constexpr int N=100010;
constexpr int INF=2e9;
constexpr ll LLF=2e18;
constexpr ll mod=998244353;
constexpr int dir[4][2]={{-1,0},{1,0},{0,-1},{0,1}};
ll powmod(ll a,ll b,ll mod=mod) {ll res=1;a%=mod;for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;}
//ll inv(ll a){return powmod(a,mod-2);}
ll n,m,ans=0;
ll inv[N],inc[N];
void init(){
inc[0]=1; for(int i=1;i<N;i++) inc[i]=inc[i-1]*i%mod;
inv[N-1]=powmod(inc[N-1],mod-2);
for(int i=N-2;i>=1;i--) inv[i]=inv[i+1]*(i+1)%mod;
}
ll C(int a,int b){
if(b==0) return 1;
if (a<b) return 0; if (a==b) return 1;
return inc[a]*inv[a-b]%mod*inv[b]%mod;
}
ll f[N][31];
void solve() {
init();
cin>>m>>n;
ans=C(m,n)*n%mod;
rep(i,1,m) f[i][1]=1;
rep(i,2,30)rep(j,1,m){
for(int k=2;k*j<=m;k++){
f[k*j][i]=(f[k*j][i]+f[j][i-1])%mod;
}
}
rep(i,1,30)rep(j,1,m){
// cout<<j<<" "<<i<<" "<<f[j][i]<<"\n";
if(n-i>=0){
ll k=C((m/j)-1,n-i);
// cout<<j<<" "<<f[j][i]<<" "<<k<<'\n';
if((m/j)-1>=0) ans=(mod+ans-f[j][i]*C((m/j)-1,n-i)%mod)%mod;
else ans=(mod+ans-f[j][i])%mod;
}
}
cout<<ans<<'\n';
}
int main() {
ios::sync_with_stdio(false);cin.tie(nullptr);
//cout<<fixed<<setprecision(10);
// int testcase;cin>>testcase;rep(_,1,testcase){
solve();
// }
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: 7064kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 2ms
memory: 6920kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 120ms
memory: 29452kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 11ms
memory: 10956kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 117ms
memory: 29464kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 105ms
memory: 29336kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 113ms
memory: 29468kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 2ms
memory: 6404kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 2ms
memory: 6864kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5796kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 2ms
memory: 6296kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 6972kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 2ms
memory: 5284kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 2ms
memory: 5476kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 3ms
memory: 8976kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 6532kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 2ms
memory: 6876kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 116ms
memory: 29468kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 31ms
memory: 15060kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 10ms
memory: 11032kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 5172kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 129ms
memory: 29472kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 132ms
memory: 29388kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 132ms
memory: 29380kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 8ms
memory: 8964kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 116ms
memory: 29420kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 126ms
memory: 29396kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 134ms
memory: 29452kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 132ms
memory: 29396kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 12ms
memory: 11080kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 139ms
memory: 29468kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 134ms
memory: 29464kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 135ms
memory: 29388kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 158ms
memory: 29392kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 159ms
memory: 29424kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 138ms
memory: 29392kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 127ms
memory: 29452kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 2ms
memory: 5672kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 7112kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 6444kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 7160kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 2ms
memory: 6444kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 2ms
memory: 5232kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 2ms
memory: 6532kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 2ms
memory: 7076kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 1ms
memory: 5712kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 77ms
memory: 22996kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 70ms
memory: 23064kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 70ms
memory: 23320kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 117ms
memory: 29480kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 114ms
memory: 29476kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 105ms
memory: 29456kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 115ms
memory: 29392kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed