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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#213859#2157. 数列one_zero_four_zero100360ms16692kbC++11908b2024-11-13 22:07:342024-11-13 23:10:36

answer

#include<bits/stdc++.h>
using namespace std;

int N;
long long ans, p;
long long power[2000006], inv[2000006];

long long qpow(long long a, long long b){
	long long res = 1;
	while (b){
		if (b & 1) res = (res * a) % p;
		a = (a * a) % p;
		b >>= 1;
	}
	return res;
}

void __init(){
	power[0] = inv[0] = 1;
	for (int i = 1; i <= 2 * N + 2; i ++){
		power[i] = (power[i - 1] * i) % p;
	}
}

long long getC(int n, int m){
	long long res = power[n];
	inv[m] = qpow(power[m], p - 2);
	inv[n - m] = qpow(power[n - m], p - 2);
	res = (res * inv[m]) % p;
	res = (res * inv[n - m]) % p;
	return res;
}

int main(){
#ifndef ONLINE_JUDGE
	freopen("../data.in", "r", stdin);
	freopen("../data.out", "w", stdout);
#endif

	scanf("%d %lld", &N, &p);
	__init();
	ans = getC(2 * N, N);
	ans -= getC(2 * N, N - 1);
	ans = (ans + p) % p;
	printf("%lld\n", ans);

	return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 0ms
memory: 1212kb

input:

921 998054347

output:

345389219

result:

ok single line: '345389219'

Test #2:

score: 5
Accepted
time: 0ms
memory: 1216kb

input:

926 998064329

output:

458756691

result:

ok single line: '458756691'

Test #3:

score: 5
Accepted
time: 1ms
memory: 1220kb

input:

1000 998074327

output:

457273797

result:

ok single line: '457273797'

Test #4:

score: 5
Accepted
time: 1ms
memory: 1216kb

input:

952 998084303

output:

329700115

result:

ok single line: '329700115'

Test #5:

score: 5
Accepted
time: 1ms
memory: 1216kb

input:

989 998094347

output:

94788253

result:

ok single line: '94788253'

Test #6:

score: 5
Accepted
time: 1ms
memory: 1216kb

input:

902 998104313

output:

911969455

result:

ok single line: '911969455'

Test #7:

score: 5
Accepted
time: 1ms
memory: 1212kb

input:

914 998114333

output:

827812986

result:

ok single line: '827812986'

Test #8:

score: 5
Accepted
time: 0ms
memory: 1220kb

input:

986 998124313

output:

169699253

result:

ok single line: '169699253'

Test #9:

score: 5
Accepted
time: 1ms
memory: 1216kb

input:

947 998134339

output:

761932751

result:

ok single line: '761932751'

Test #10:

score: 5
Accepted
time: 0ms
memory: 1216kb

input:

934 998144339

output:

42889072

result:

ok single line: '42889072'

Test #11:

score: 5
Accepted
time: 35ms
memory: 16692kb

input:

991572 998154343

output:

277089318

result:

ok single line: '277089318'

Test #12:

score: 5
Accepted
time: 35ms
memory: 15780kb

input:

932800 998164337

output:

945072504

result:

ok single line: '945072504'

Test #13:

score: 5
Accepted
time: 31ms
memory: 15324kb

input:

903603 998174341

output:

29916736

result:

ok single line: '29916736'

Test #14:

score: 5
Accepted
time: 39ms
memory: 16184kb

input:

958646 998184331

output:

802903490

result:

ok single line: '802903490'

Test #15:

score: 5
Accepted
time: 41ms
memory: 16560kb

input:

983016 998194349

output:

802900579

result:

ok single line: '802900579'

Test #16:

score: 5
Accepted
time: 36ms
memory: 15612kb

input:

922347 998204353

output:

228575331

result:

ok single line: '228575331'

Test #17:

score: 5
Accepted
time: 37ms
memory: 16456kb

input:

976053 998214317

output:

982618317

result:

ok single line: '982618317'

Test #18:

score: 5
Accepted
time: 32ms
memory: 16156kb

input:

957300 998224351

output:

514549818

result:

ok single line: '514549818'

Test #19:

score: 5
Accepted
time: 33ms
memory: 15600kb

input:

921760 998234353

output:

470386410

result:

ok single line: '470386410'

Test #20:

score: 5
Accepted
time: 35ms
memory: 15468kb

input:

912948 998244353

output:

129235345

result:

ok single line: '129235345'