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
#821003#6417. Classical Summation ProblemOIer_kzc#AC ✓75ms9464kbC++201.3kb2024-12-19 11:25:292024-12-19 11:25:32

Judging History

This is the latest submission verdict.

  • [2024-12-19 11:25:32]
  • Judged
  • Verdict: AC
  • Time: 75ms
  • Memory: 9464kb
  • [2024-12-19 11:25:29]
  • Submitted

answer

#include <stdio.h>
#include <string.h>

#include <algorithm>

#define LOG(FMT...) fprintf(stderr, FMT)

using namespace std;

typedef long long LL;
constexpr int N = 1000005;
constexpr int mod = 998244353;

constexpr int inv(int x, int k = mod - 2) {
	int r = 1;
	while (k) {
		if (k & 1) {
			r = x * (LL)r % mod;
		}
		x = x * (LL)x % mod;
		k >>= 1;
	}
	return r;
}

int fact[N], infact[N];

void pref() {
	constexpr int n = 1000000;
	*fact = 1;
	for (int i = 1; i <= n; ++i) {
		fact[i] = fact[i - 1] * (LL)i % mod;
	}
	infact[n] = inv(fact[n]);
	for (int i = n; i; --i) {
		infact[i - 1] = infact[i] * (LL)i % mod;
	}
}

int C(int x, int y) {
	return y < 0 || x < y ? 0 : fact[x] * (LL)infact[y] % mod * infact[x - y] % mod;
}

int main() {
	pref();
	int n, m;
	scanf("%d%d", &n, &m);
	int res = (n / 2 + 1ll) * inv(n, m) % mod;
	if (!(m & 1)) {
		int s = 0;
		for (int x = 1; x <= (n - 1) / 2; ++x) {
			s = (s + inv(x, m / 2) * (LL)inv(n - x, m / 2)) % mod;
		}
		res = (res - s * (LL)C(m, m / 2)) % mod;
	}
	if (!(n & 1)) {
		int s = inv(2, m);
		if (!(m & 1)) {
			s = (s + C(m, m / 2)) % mod;
		}
		s = s * (LL)inv(2) % mod;
		res = (res - inv(n / 2, m) * (LL)s) % mod;
	}
	if (res < 0) {
		res += mod;
	}
	printf("%d\n", res);
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 7ms
memory: 9452kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 6ms
memory: 9344kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 10ms
memory: 9428kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 10ms
memory: 9456kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 10ms
memory: 9344kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 6ms
memory: 9356kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 5ms
memory: 9340kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 10ms
memory: 9416kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 16ms
memory: 9424kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 47ms
memory: 9420kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 47ms
memory: 9416kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 3ms
memory: 9384kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 10ms
memory: 9400kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 75ms
memory: 9392kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 75ms
memory: 9436kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 0ms
memory: 9412kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 68ms
memory: 9348kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 5ms
memory: 9440kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 72ms
memory: 9424kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 10ms
memory: 9460kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 10ms
memory: 9412kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 10ms
memory: 9424kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 3ms
memory: 9464kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 11ms
memory: 9392kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 22ms
memory: 9400kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 31ms
memory: 9340kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 43ms
memory: 9440kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 71ms
memory: 9436kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 74ms
memory: 9352kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 69ms
memory: 9444kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 70ms
memory: 9360kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 72ms
memory: 9392kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 13ms
memory: 9420kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 10ms
memory: 9352kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"