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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#411554#6736. Alice and Bobxiwon#AC ✓111ms159832kbC++14877b2024-05-15 15:55:242024-05-15 15:55:24

Judging History

你现在查看的是最新测评结果

  • [2024-05-15 15:55:24]
  • 评测
  • 测评结果:AC
  • 用时:111ms
  • 内存:159832kb
  • [2024-05-15 15:55:24]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

using ll = long long;

const int SIZE = 10000003;
const ll MD = 998244353;
ll jc[SIZE], jc_inv[SIZE];

ll pwer(ll a, ll b, ll ret = 1ll) {
	for ( ; b; b >>= 1) {
		if (b & 1) ret = ret * a % MD;
		a = a * a % MD;
	}
	return ret;
}

int main() {
	ll n;
	cin >> n;

	// cout << pwer(3, 3) << endl;

	jc[0] = 1;
	for (int i = 1; i <= n; i++) {
		jc[i] = jc[i - 1] * i % MD;
	}
	jc_inv[n] = pwer(jc[n], MD - 2);
	// assert(jc_inv[n] * jc[n] % MD == 1);
	for (int i = n - 1; i >= 0; i--) {
		jc_inv[i] = jc_inv[i + 1] * (i + 1) % MD;
	}
	// assert(jc_inv[0] == 1);

	ll lim = (n + 1) / 2;
	ll ans = 0;
	for (int i = 1; i <= lim; i++) {
		ll t = jc[n - i] * jc[n - i] % MD * jc_inv[n - i - i + 1] % MD;
		// cout << "i = " << i << ", " << t << endl;
		ans = (ans + t) % MD;
	}
	cout << ans;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5784kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 0ms
memory: 5716kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 0ms
memory: 5576kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5632kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 0ms
memory: 5704kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 0ms
memory: 5580kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5768kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 14ms
memory: 27292kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 71ms
memory: 125340kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 98ms
memory: 132956kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 76ms
memory: 101348kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 44ms
memory: 60648kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 75ms
memory: 114252kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 32ms
memory: 52456kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 100ms
memory: 159832kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 91ms
memory: 159776kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 111ms
memory: 159828kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"