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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#803303 | #9553. The Hermit | wangjunrui | AC ✓ | 354ms | 35772kb | C++14 | 2.4kb | 2024-12-07 16:44:51 | 2024-12-07 16:44:52 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define mod 998244353
int ksm(int x,int y){
int base=x;
int res=1;
while(y){
if(y&1){
res=res*base%mod;
}
base=base*base%mod;
y>>=1;
}
return res;
}
void solve(){
int n,m;cin>>n>>m;
vector<int> ni(n+1);
int oo=1;
for(int i=1;i<=n;i++){
oo*=i;
oo%=mod;
}
ni[n]=ksm(oo,mod-2);
for(int i=n-1;i>=1;i--){
ni[i]=ni[i+1]*(i+1)%mod;
}
vector<vector<int>> use(n+1);
for(int i=1;i<=n;i++){
for(int j=2;j*j<=i;j++){
if(i%j==0){
use[i].push_back(j);
if(j*j==i){continue;}
use[i].push_back(i/j);
}
}
use[i].push_back(1);
}
vector<vector<int>> dp(n+1);
for(int i=1;i<=n;i++){
dp[i].resize(log2(i)+2,-1);
}
auto dfs=[&](auto &&dfs,int x,int num)->void{
if(num==1){
dp[x][num]=1;
return;
}
if(num>log2(x)+1){
return;
}
if(dp[x][num]!=-1){
return;
}
dp[x][num]=0;
for(auto &i:use[x]){
if(num-1>log2(i)+1){
continue;
}
dfs(dfs,i,num-1);
dp[x][num]+=dp[i][num-1];
dp[x][num]%=mod;
}
};
int tot=m*ni[m]%mod;
for(int k=0;k<m;k++){
tot=tot*(n-k)%mod;
}
for(int i=1;i<=n;i++){
for(int j=1;j<=log2(i)+1;j++){
dfs(dfs,i,j);
if(m<j){continue;}
if(n/i-1>=m-j && dp[i][j]>0){
//cout<<i<<" "<<j<<" "<<dp[i][j]<<" ";
int now=1;
if(n/i-1>m-j){
for(int k=0;k<m-j;k++){
now*=(n/i-1-k);
now%=mod;
}
now*=ni[m-j];
now%=mod;
}
if(m-j==0){
now=1;
}
//cout<<now<<"\n";
now*=dp[i][j];
now%=mod;
tot-=now;
tot=(tot%mod+mod)%mod;
}
}
}
cout<<tot<<"\n";
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t=1;
while(t--){
solve();
}
}
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: 1ms
memory: 3804kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 314ms
memory: 35512kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 24ms
memory: 6520kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 329ms
memory: 35708kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 323ms
memory: 35592kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 330ms
memory: 35752kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 1ms
memory: 4088kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 3ms
memory: 4328kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 2ms
memory: 3888kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 330ms
memory: 35668kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 96ms
memory: 13904kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 26ms
memory: 6596kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 318ms
memory: 35592kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 327ms
memory: 35580kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 331ms
memory: 35592kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 17ms
memory: 6100kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 314ms
memory: 35576kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 314ms
memory: 35672kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 317ms
memory: 35704kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 316ms
memory: 35540kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 24ms
memory: 6944kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 327ms
memory: 35660kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 332ms
memory: 35576kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 329ms
memory: 35748kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 328ms
memory: 35704kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 324ms
memory: 35740kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 309ms
memory: 33704kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 301ms
memory: 33472kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 199ms
memory: 25552kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 198ms
memory: 23700kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 190ms
memory: 23704kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 343ms
memory: 35772kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 334ms
memory: 35588kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 354ms
memory: 35668kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 323ms
memory: 35672kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed