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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#754531#9553. The Hermitucup-team2010#AC ✓89ms31376kbC++231.6kb2024-11-16 15:15:152024-11-18 19:47:38

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:47:38]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:89ms
  • 内存:31376kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 15:15:17]
  • 评测
  • 测评结果:100
  • 用时:63ms
  • 内存:31432kb
  • [2024-11-16 15:15:15]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb push_back
constexpr int maxn = 2e5 + 7;
constexpr int mod = 998244353;
template<class T>
T power(T a, ll b) {
	T res = 1;
	for (; b; b >>= 1) {
		if (b & 1) {
			res = res * a;
		}
		a *= a;
	}
	return res;
}
ll powermod(ll a, ll b) {
	ll res = 1;
	for (; b; b >>= 1) {
		if (b & 1) {
			res = (res * a) % mod;
		}
		a = (a * a) % mod;
	}
	return res;
}
ll fac[maxn], invfac[maxn];
void init() {
	fac[0] = invfac[0] = 1;
	for (int i = 1; i < maxn; i++) {
		fac[i] = (fac[i - 1] * i) % mod;
	}
	invfac[maxn - 1] = powermod(fac[maxn - 1], mod - 2);
	for (int i = maxn - 2; i >= 0; i--) {
		invfac[i] = (invfac[i + 1] * (i + 1)) % mod;
	}
}
ll binom(int n, int m) {
	if (n < m or m < 0)return 0;
	return (fac[n] * invfac[m] % mod) * invfac[n - m] % mod;
}
ll del(ll a, ll b) {
	a -= b;
	if (a < 0)a += mod;
	return a;
}
std::vector<int> pr[maxn];
ll ff[maxn];
void solve() {
	ll n, m;
	cin >> n >> m;
	ll ans = (binom(n, m) * m) % mod;
	for (ll i = 1; i <= n; i++) {
		for (ll j = 2 * i; j <= n; j += i) {
			pr[j].pb(i);
			ff[i]++;
		}
	}
	std::vector dp(n + 1, std::vector<ll>());
	for (int i = 1; i <= n; i++) {
		dp[i].resize((ll)(pr[i].size() + 1));
		dp[i][0] = 1;
		for (auto q : pr[i]) {
			for(int j=0;j<dp[q].size();j++){
				dp[i][j+1]=(dp[i][j+1]+dp[q][j])%mod;
			}
		}
		for(int j=0;j<dp[i].size();j++){
			ans=del(ans,dp[i][j]*binom(ff[i],m-j-1)%mod);
		}
	}
	cout << ans;
}
int main() {
	ios::sync_with_stdio(false); cin.tie(0);
	init();
	int t = 1;
	// cin>>t;
	while (t--)solve();
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 7992kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 4ms
memory: 7708kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 82ms
memory: 29884kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 7ms
memory: 10080kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 72ms
memory: 29372kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 68ms
memory: 30280kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 73ms
memory: 29652kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 3ms
memory: 7996kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 3ms
memory: 7452kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 7436kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 3ms
memory: 8612kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 3ms
memory: 7920kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 3ms
memory: 7916kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 4ms
memory: 7964kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 7368kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 7452kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 2ms
memory: 8276kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 71ms
memory: 30764kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 18ms
memory: 15160kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 9ms
memory: 10860kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 8312kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 72ms
memory: 29924kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 64ms
memory: 30332kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 75ms
memory: 30024kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 7ms
memory: 9644kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 77ms
memory: 30012kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 71ms
memory: 30780kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 89ms
memory: 29748kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 71ms
memory: 30544kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 8ms
memory: 9676kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 72ms
memory: 31084kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 86ms
memory: 29932kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 83ms
memory: 29848kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 64ms
memory: 31244kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 67ms
memory: 31116kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 80ms
memory: 29552kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 53ms
memory: 28564kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 3ms
memory: 6924kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 6984kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 7216kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 7144kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 3ms
memory: 8496kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 3ms
memory: 7808kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 7576kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 7180kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 7308kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 43ms
memory: 22696kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 31ms
memory: 22408kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 46ms
memory: 22404kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 71ms
memory: 30616kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 69ms
memory: 30448kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 81ms
memory: 30292kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 57ms
memory: 31376kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed