QOJ.ac

QOJ

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
#753925#9553. The Hermitucup-team5008#AC ✓356ms56252kbC++202.3kb2024-11-16 13:53:412024-11-18 19:46:11

Judging History

你现在查看的是最新测评结果

  • [2024-11-18 19:46:11]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:356ms
  • 内存:56252kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 13:53:42]
  • 评测
  • 测评结果:100
  • 用时:238ms
  • 内存:56304kb
  • [2024-11-16 13:53:41]
  • 提交

answer

#include<bits/stdc++.h>
#define rep2(i,j,k) for(ll i = ll(j); i < ll(k); i++)
#define rep(i,k) rep2(i,0,k)
#define rrep2(i,j,k) for(ll i = ll(j)-1; i >= ll(k); i--)
#define rrep(i,k) rrep2(i,k,0)
#define SZ(a) ll(a.size())
#define eb emplace_back
#define all(a) a.begin(), a.end()

using namespace std;
using ll = long long;
using P = pair<ll,ll>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vp = vector<P>;
using vvp = vector<vp>;

bool chmax(auto& a, auto b) {return a < b ? a = b, 1 : 0; }
bool chmin(auto& a, auto b) {return a > b ? a = b, 1 : 0; }

const int mod = 998244353;

struct mint {

	ll x;
	mint(ll x = 0): x((x%mod+mod)%mod) {}

	mint &operator+=(const mint &a) { if((x += a.x) >= mod) x -= mod; return *this; }
	mint &operator-=(const mint &a) { if((x += mod-a.x) >= mod) x -= mod; return *this; }
	mint &operator*=(const mint &a) { (x *= a.x) %= mod; return *this; }

	mint operator+(const mint &a) { return mint(*this) += a; }
	mint operator-(const mint &a) { return mint(*this) -= a; }
	mint operator*(const mint &a) { return mint(*this) *= a; }

	mint pow(ll t) {
		mint res(1), a(*this);
		while(t) {
			if(t&1) res *= a;
			a *= a;
			t >>= 1;
		}
		return res;
	}

	mint inv() { return pow(mod-2); }
};

using vm = vector<mint>;
using vvm = vector<vm>;

const int C = 100010;
mint fac[C+1], ifac[C+1];

mint binom(int n, int k) {
	assert(0 <= n and n <= C);
	if(k < 0 or k > n) return 0;
	return fac[n] * ifac[k] * ifac[n-k];
}

mint sub[20][100010];
mint sup[20][100010];

int main(){
	cin.tie(0) -> sync_with_stdio(0);
	fac[0] = 1;
	rep(i, C) fac[i+1] = fac[i] * (i+1);
	ifac[C] = fac[C].inv();
	rrep(i, C) ifac[i] = ifac[i+1] * (i+1);
	int n, m;
	cin >> m >> n;
	vvl div(m+1);
	rep2(i, 1, m+1) div[i].eb(0);
	rep2(i, 1, m+1) for(int j = i; j <= m; j += i) div[j].eb(i);
	sub[0][0] = 1;
	rep2(k, 1, 20) rep2(i, 1, m+1) for(int j : div[i]) if(j < i) sub[k][i] += sub[k-1][j];
	rep(k, 20) {
		if(k >= n) break;
		rrep2(i, m+1, 1) {
			sup[k][i] = binom(m/i, n-k);
			for(int j = 2*i; j <= m; j += i) sup[k][i] -= sup[k][j];
		}
		rep2(i, 1, m+1) {
			sup[k][i] -= binom(m/i-1, n-k-1);
		}
	}
	mint ans;
	rep(k, 20) {
		if(k >= n) break;
		rep2(i, 1, m+1) {
			mint now;
			for(int j : div[i]) now += sub[k][j];
			//cerr << k << ' ' << i << ' ' << now.x << ' ' << sup[k][i].x << endl;
			now *= sup[k][i];
			ans += now * (n-k);
		}
	}
	cout << ans.x << endl;
}

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: 36600kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 3ms
memory: 36316kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 356ms
memory: 56112kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 22ms
memory: 38044kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 341ms
memory: 56184kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 164ms
memory: 56228kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 294ms
memory: 56164kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 0ms
memory: 36384kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 9ms
memory: 36376kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 36324kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 6ms
memory: 36388kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 3ms
memory: 36312kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 36280kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 36484kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 5ms
memory: 36708kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 3ms
memory: 36464kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 5ms
memory: 36548kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 336ms
memory: 56120kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 70ms
memory: 42384kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 23ms
memory: 38216kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 36604kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 344ms
memory: 56176kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 339ms
memory: 56056kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 325ms
memory: 56172kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 13ms
memory: 38092kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 172ms
memory: 56180kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 160ms
memory: 56056kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 349ms
memory: 56160kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 334ms
memory: 56136kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 28ms
memory: 38344kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 280ms
memory: 56092kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 290ms
memory: 56056kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 261ms
memory: 56080kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 328ms
memory: 56252kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 355ms
memory: 56092kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 310ms
memory: 54836kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 316ms
memory: 54904kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 6ms
memory: 36616kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 36384kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 36320kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 6ms
memory: 36612kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 9ms
memory: 36380kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 36600kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 6ms
memory: 36380kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 36312kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 36392kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 194ms
memory: 49788kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 169ms
memory: 48732kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 171ms
memory: 48732kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 332ms
memory: 56144kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 341ms
memory: 56120kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 181ms
memory: 56084kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 286ms
memory: 56060kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed