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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#769242 | #9553. The Hermit | huangxi | AC ✓ | 476ms | 25216kb | C++20 | 1.7kb | 2024-11-21 16:43:05 | 2024-11-21 16:43:10 |
Judging History
answer
#include<bits/stdc++.h>
#define ls p*2
#define rs p*2+1
#define x first
#define y second
#define endl '\n'
using namespace std;
mt19937 rnd(time(0));
typedef long long LL;
typedef unsigned long long uLL;
typedef pair<LL,LL>PII;
typedef pair<double,double>PDD;
const double PI=acos(-1);
const int N=2e5+10,M=2e5+10,MOD=998244353,INF=1e9;
int n;
int m;
map<PII,LL>mp;
LL f[N],inv[N],inf[N];
void init(int n)
{
inv[0] = inf[0] = f[0] = 1;
inv[1] = inf[1] = f[1] = 1;
for(int i=2;i<n;i++)
{
f[i] = f[i - 1] * i % MOD;
inv[i] = (MOD - MOD / i) * inv[MOD % i] % MOD;
inf[i] = inf[i - 1] * inv[i] % MOD;
}
}
LL C(int a,int b)
{
return f[a] * inf[b] % MOD * inf[a - b] % MOD;
}
LL calc(LL pos,LL x){
LL res=0;
if(pos==1) return 1;
if(mp.count({pos,x})) return mp[{pos,x}];
for(int i=1;i<=x/i;i++){
if(x%i==0){
if(i!=1){
res+=calc(pos-1,x/i);
res=res%MOD;
}
if(i*i!=x){
res+=calc(pos-1,i);
res=res%MOD;
}
}
}
mp[{pos,x}]=res;
return res;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
init(1e5+10);
cin>>n>>m;
LL ans=C(n,m)*m%MOD;
for(int i=1;i<=n;i++){
int pos=n/i;
pos--;
if(pos<0) break;
for(int j=max(1,m-pos);j<=m;j++){//放在第j位
LL hou=C(pos,m-j);
LL qian=calc(j,i);
if(qian==0) break;
ans-=hou*qian%MOD;
ans=(ans%MOD+MOD)%MOD;
}
}
cout<<ans<<endl;
}
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: 2ms
memory: 6808kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 2ms
memory: 6928kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 457ms
memory: 24812kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 31ms
memory: 8816kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 452ms
memory: 23960kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 3ms
memory: 7968kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 471ms
memory: 22308kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 2ms
memory: 7396kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 2ms
memory: 6980kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 2ms
memory: 6864kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 6960kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 2ms
memory: 8348kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 2ms
memory: 8104kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 0ms
memory: 7164kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 5ms
memory: 7216kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 3ms
memory: 7112kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 3ms
memory: 7024kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 459ms
memory: 23996kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 117ms
memory: 12936kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 36ms
memory: 8708kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 2ms
memory: 7344kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 465ms
memory: 25216kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 457ms
memory: 24056kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 460ms
memory: 23580kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 23ms
memory: 8708kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 99ms
memory: 13648kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 314ms
memory: 16424kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 458ms
memory: 24712kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 468ms
memory: 23764kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 37ms
memory: 9524kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 472ms
memory: 23612kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 476ms
memory: 23016kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 463ms
memory: 22488kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 466ms
memory: 22280kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 460ms
memory: 23876kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 419ms
memory: 23152kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 428ms
memory: 22848kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 2ms
memory: 6960kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 2ms
memory: 6988kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 7420kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 2ms
memory: 8188kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 2ms
memory: 7284kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 2ms
memory: 6948kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 2ms
memory: 7168kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 1ms
memory: 8092kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 7272kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 303ms
memory: 18812kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 278ms
memory: 17244kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 272ms
memory: 17712kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 462ms
memory: 23704kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 470ms
memory: 23980kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 94ms
memory: 13448kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 463ms
memory: 25040kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed