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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 |
---|---|---|---|---|---|---|---|---|---|
#883827 | #9553. The Hermit | Nimi_Sora | AC ✓ | 1003ms | 37636kb | C++23 | 1.1kb | 2025-02-05 19:14:50 | 2025-02-05 19:14:50 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll N=1e5+7,mod=998244353;
using pii=pair<int,int>;
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
ll fact[N],dfact[N];
map<ll,ll>dp[N];
ll ksm(ll a,ll b){
ll res=1;
while(b){
if(b&1)res=res*a%mod;
b>>=1;a=a*a%mod;
}
return res%mod;
}
ll c(ll a,ll b){
if(b<0||b>a)return 0;
return fact[a]*dfact[b]%mod*dfact[a-b]%mod;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
ll n,m;cin>>m>>n;
fact[0]=1,fact[1]=1;
for(ll i=1;i<=1e5;i++){
fact[i]=fact[i-1]*i%mod;
}
for(int i=0;i<=1e5;i++){
dfact[i]=ksm(fact[i],mod-2);
}
ll ans=n*c(m,n)%mod;
for(int i=1;i<=m;i++)dp[1][i]=1;
for(ll i=1;i<=n;i++){
for(auto [x,y]:dp[i]){
// cout<<ans<<'x';
ans=((ans-y*c(m/x-1,n-i)%mod)%mod+mod)%mod;
for(ll j=2;j*x<=m;j++){
dp[i+1][j*x]=(dp[i+1][j*x]+dp[i][x])%mod;
}
}
}
cout<<ans<<'\n';
}
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: 13ms
memory: 9840kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 12ms
memory: 9860kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 1002ms
memory: 37576kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 60ms
memory: 12848kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 991ms
memory: 37504kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 351ms
memory: 22308kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 988ms
memory: 37548kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 14ms
memory: 9796kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 12ms
memory: 9880kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 12ms
memory: 9700kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 12ms
memory: 9880kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 11ms
memory: 9728kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 13ms
memory: 9600kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 14ms
memory: 10092kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 17ms
memory: 10192kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 16ms
memory: 10168kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 14ms
memory: 10072kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 982ms
memory: 37488kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 230ms
memory: 19188kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 65ms
memory: 13088kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 10ms
memory: 9864kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 1003ms
memory: 37524kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 976ms
memory: 37460kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 978ms
memory: 37636kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 53ms
memory: 12508kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 644ms
memory: 27972kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 814ms
memory: 31916kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 998ms
memory: 37620kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 995ms
memory: 37540kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 67ms
memory: 13316kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 979ms
memory: 37588kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 956ms
memory: 37552kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 970ms
memory: 37476kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 960ms
memory: 37560kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 986ms
memory: 37580kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 875ms
memory: 36004kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 879ms
memory: 35984kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 11ms
memory: 9936kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 12ms
memory: 9784kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 12ms
memory: 9844kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 11ms
memory: 9824kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 12ms
memory: 9844kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 12ms
memory: 9828kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 12ms
memory: 9984kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 13ms
memory: 9824kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 12ms
memory: 9876kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 605ms
memory: 29376kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 572ms
memory: 27792kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 544ms
memory: 27840kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 992ms
memory: 37560kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 983ms
memory: 37440kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 626ms
memory: 27972kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 982ms
memory: 37592kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed