QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#754116#9553. The Hermitucup-team3661#AC ✓276ms40360kbC++201.3kb2024-11-16 14:14:582024-11-18 19:47:05

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:47:05]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:276ms
  • 内存:40360kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 14:15:00]
  • 评测
  • 测评结果:100
  • 用时:114ms
  • 内存:40396kb
  • [2024-11-16 14:14:58]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const ll mod = 998244353;

const ll MAX = 300000;
ll fac[MAX];
ll inv[MAX];

ll modpow(ll a, ll b){
	if(b == 0)return 1;
	if(b % 2 == 0){
		ll t = modpow(a, b/2);
		t *= t;
		t %= mod;
		return t;
	}
	ll t = modpow(a, b-1);
	t *= a;
	t %= mod;
	return t;
}

ll C(ll n, ll k){
	if(n < k)return 0;
	ll ret = fac[n];
	ret *= inv[n-k];
	ret %= mod;
	ret *= inv[k];
	ret %= mod;
	return ret;
}

int main(){
	fac[0] = 1;
	for(int i = 1; i <= MAX; i++){
		fac[i] = fac[i-1] * i;
		fac[i] %= mod;
	}
	inv[MAX-1] = modpow(fac[MAX-1] , mod-2);
	for(int i = MAX-2; i >= 0; i--){
		inv[i] = inv[i+1] * (i+1);
		inv[i] %= mod;
	}
	ll N,M; cin >> M >> N;
	vector<map<ll,ll>> dp(M+1);
	for(int i = 1; i <= M; i++){
		dp[i][1] = 1;
		for(int j = i*2; j <= M; j += i){
			for(auto p:dp[i]){
				int len = p.first;
				ll value = p.second;
				dp[j][len+1] += value;
				dp[j][len+1] %= mod;
			}
		}
	}
	ll ans = C(M, N);
	ans *= N;
	ans %= mod;
	for(int i = 1; i <= M; i++){
		ll B = M / i - 1;
		for(auto p:dp[i]){
			ll A = p.first;
			if(N-A < 0)continue;
			ll value = p.second;
			ll add = mod - C(B , N-A);
			add *= p.second;
			add %= mod;
			ans += add;
			ans %= mod;
		}
	}
	cout << ans << endl;
}

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: 2ms
memory: 8292kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 8300kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 151ms
memory: 40272kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 4ms
memory: 11400kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 122ms
memory: 40104kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 241ms
memory: 40220kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 244ms
memory: 40220kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 2ms
memory: 8524kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 8300kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 8460kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 4ms
memory: 8200kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 8488kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 4ms
memory: 8552kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 5ms
memory: 8588kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 5ms
memory: 9092kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 4ms
memory: 8592kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 4ms
memory: 8824kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 253ms
memory: 40120kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 46ms
memory: 18856kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 13ms
memory: 11628kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 4ms
memory: 8528kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 112ms
memory: 40128kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 205ms
memory: 40284kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 226ms
memory: 40360kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 7ms
memory: 10892kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 132ms
memory: 40196kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 153ms
memory: 40224kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 276ms
memory: 40188kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 246ms
memory: 40296kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 11ms
memory: 12112kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 249ms
memory: 40108kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 138ms
memory: 40284kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 155ms
memory: 40176kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 157ms
memory: 40216kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 186ms
memory: 40116kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 109ms
memory: 38332kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 107ms
memory: 38256kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 4ms
memory: 8244kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 4ms
memory: 8228kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 4ms
memory: 8228kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 4ms
memory: 8180kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 4ms
memory: 8180kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 4ms
memory: 8532kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 4ms
memory: 8308kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 8528kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 2ms
memory: 8296kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 75ms
memory: 30672kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 70ms
memory: 29148kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 136ms
memory: 28912kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 163ms
memory: 40176kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 102ms
memory: 40224kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 115ms
memory: 40336kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 153ms
memory: 40224kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed