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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
#175816#6417. Classical Summation Problemdanielkou5855WA 1ms3592kbC++171.3kb2023-09-11 00:45:102023-09-11 00:45:12

Judging History

你现在查看的是最新测评结果

  • [2023-09-11 00:45:12]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3592kb
  • [2023-09-11 00:45:10]
  • 提交

answer

// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>

#define ll long long

using namespace std;

const int MOD = 998244353;

ll exp(ll a, ll b) {
    ll res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a % MOD;
        a = a * a % MOD;
        b >>= 1;
    }
    return res;
}

vector<ll> factorial;

void generate_factorial(int m) {
    factorial.resize(m + 1);
    factorial[0] = 1;

    for (ll i = 1; i <= m; i++) {
        factorial[i] = factorial[i - 1] * i; factorial[i] += MOD; factorial[i] %= MOD;
    }
}

ll choose(ll a, ll b) {
    ll tmp = factorial[a];

    tmp *= exp(factorial[a - b], MOD - 2); tmp += MOD; tmp %= MOD;
    tmp *= exp(factorial[b], MOD - 2); tmp += MOD; tmp %= MOD;

    return tmp;
}

signed main() {
	int N, K; cin >> N >> K;

	generate_factorial(max(N + 1, K));

    if (K % 2 == 1) {
        ll ans = ((N + 1) / 2) * exp(N, K) % MOD;

        cout << ans << "\n";
        return 0;
    }

	ll ans = 0;

	for (int i = 1; i < N; i++) {
		ll tmp = choose(K, K / 2) * exp(i, K / 2) % MOD;
		tmp = tmp * exp(N - i, K / 2) % MOD;

		ans += tmp; ans %= MOD;
	}

    ll tmp2 = (N + 1) * exp(N, K) % MOD;

    tmp2 -= ans; tmp2 += MOD; tmp2 %= MOD;

    tmp2 *= exp(2, MOD - 2); tmp2 %= MOD;

	cout << tmp2 << "\n";
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3528kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3376kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: -100
Wrong Answer
time: 1ms
memory: 3432kb

input:

10 9

output:

8778235

result:

wrong answer 1st numbers differ - expected: '508778235', found: '8778235'