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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
#411719#6736. Alice and BobYnoiynoi#AC ✓127ms159928kbC++17768b2024-05-15 18:45:062024-05-15 18:45:06

Judging History

你现在查看的是最新测评结果

  • [2024-05-15 18:45:06]
  • 评测
  • 测评结果:AC
  • 用时:127ms
  • 内存:159928kb
  • [2024-05-15 18:45:06]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

typedef long long LL;

const int N = 1e7+10, MO = 998244353;

LL n, fac[N], facInv[N];

LL qpm(LL a, LL b) {
	LL ans = 1;
	while(b) {
		if(b & 1) ans = ans * a % MO;
		a = a * a % MO;
		b >>= 1;
	}
	return ans;
}
LL A(int n, int m) {
	if(m < 0) return 0;
	if(n < m) return 0;
	return fac[n] * facInv[n-m] % MO;
}
int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n;
	fac[0] = 1;
	for(int i = 1; i <= n; i ++) fac[i] = fac[i-1] * i % MO;
	facInv[n] = qpm(fac[n], MO-2);
	for(int i = n-1; i >= 0; i --) facInv[i] = facInv[i+1] * (i+1) % MO;
	LL ans = 0;
	for(int i = 1; i <= n; i ++) {
		ans = (ans + A(n-i, i-1) * A(n-i, n-i) % MO) % MO;
	}
	cout << ans << '\n';
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 5656kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5780kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 5720kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5696kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 0ms
memory: 5720kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 0ms
memory: 5732kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5776kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 0ms
memory: 5660kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5736kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 1ms
memory: 5780kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5728kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5740kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 20ms
memory: 26928kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 84ms
memory: 122692kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 97ms
memory: 132964kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 71ms
memory: 101784kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 42ms
memory: 61136kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 72ms
memory: 114424kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 27ms
memory: 52328kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 127ms
memory: 159856kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 111ms
memory: 159916kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 114ms
memory: 159928kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"