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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
#878940#9553. The HermitInfinity (Tadija Šebez, Nikola Pešić, Viktor Lučić)#AC ✓53ms25104kbC++141.7kb2025-02-01 19:06:342025-02-01 19:06:35

Judging History

This is the latest submission verdict.

  • [2025-02-01 19:06:35]
  • Judged
  • Verdict: AC
  • Time: 53ms
  • Memory: 25104kb
  • [2025-02-01 19:06:34]
  • Submitted

answer

#include <bits/stdc++.h>

#define ll long long
#define pb push_back
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define ios ios_base::sync_with_stdio(false);cin.tie(NULL)
#define ld long double

using namespace std;

mt19937 rng(time(NULL));

const int mod=998244353;
int add(int a,int b){
    a+=b;
    if(a>=mod)
        a-=mod;
    return a;
}
int sub(int a,int b){
    a-=b;
    if(a<0)
        a+=mod;
    return a;
}
int mul(int a,int b){
    return (long long)a*b%mod;
}
int pwrmod(int x,int k){
    int ans=1;
    for(;k;k>>=1,x=mul(x,x))
        if(k&1)
            ans=mul(ans,x);
    return ans;
}
int inv(int x){
	return pwrmod(x,mod-2);
}
const int N=1e5+5,L=17;
vector<int> fact(N),ifact(N);
void init(){
	fact[0]=1;
	for(int i=1;i<N;i++)
		fact[i]=mul(fact[i-1],i);
	ifact[N-1]=pwrmod(fact[N-1],mod-2);
	for(int i=N-2;i>=0;i--)
		ifact[i]=mul(ifact[i+1],i+1);
}
int nck(int n,int k){
	if(n<0||k<0||n<k)return 0;
	return mul(mul(fact[n],ifact[k]),ifact[n-k]);
}
int main()
{
	init();
	int n,m;
	cin >> n >> m;
	int total=mul(m,nck(n,m));
	vector<vector<int>> dp(n+1,vector<int>(L,0));
	vector<vector<int>> manji(n+1);
	vector<int> veci(n+1);
	for(int i=1;i<=n;i++){
		for(int j=2*i;j<=n;j+=i){
			manji[j].pb(i);
			veci[i]++;
		}
	}
	for(int i=1;i<=n;i++){
		for(int k=0;k<L;k++){
			dp[i][k]=0;
			if(k==0){
				dp[i][k]=1;
			}
			else{
				for(auto p:manji[i]){
					dp[i][k]=add(dp[i][k],dp[p][k-1]);
				}
			}
			int trebaJos=m-k-1;
			if(trebaJos>=0&&trebaJos<=veci[i]){
				total=sub(total,mul(dp[i][k],nck(veci[i],trebaJos)));
			}
		}
	}
	cout << total << endl;
	return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 4096kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 2ms
memory: 4096kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 49ms
memory: 25032kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 4ms
memory: 6400kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 46ms
memory: 25060kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 47ms
memory: 25100kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 46ms
memory: 25096kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 2ms
memory: 4096kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 2ms
memory: 4096kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 4352kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 4480kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 2ms
memory: 4352kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 4352kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 50ms
memory: 25096kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 15ms
memory: 11264kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 4ms
memory: 6656kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 47ms
memory: 25008kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 49ms
memory: 25104kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 49ms
memory: 25100kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 3ms
memory: 6016kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 47ms
memory: 25008kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 53ms
memory: 25076kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 47ms
memory: 25104kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 48ms
memory: 25040kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 6ms
memory: 6784kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 45ms
memory: 24972kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 51ms
memory: 24936kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 51ms
memory: 25096kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 47ms
memory: 25100kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 46ms
memory: 25100kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 46ms
memory: 23876kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 45ms
memory: 23876kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 2ms
memory: 3968kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 1ms
memory: 3968kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 4096kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 31ms
memory: 18816kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 30ms
memory: 17792kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 30ms
memory: 17664kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 48ms
memory: 25088kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 46ms
memory: 25092kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 49ms
memory: 25060kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 47ms
memory: 25104kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed