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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#654833#5301. Modulo Ruins the LegendwlmrhWA 6ms3752kbC++201.8kb2024-10-18 22:30:392024-10-18 22:30:41

Judging History

你现在查看的是最新测评结果

  • [2024-10-18 22:30:41]
  • 评测
  • 测评结果:WA
  • 用时:6ms
  • 内存:3752kb
  • [2024-10-18 22:30:39]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;

template<class T>
constexpr T power(T a, i64 b, i64 mod) {
    T res = 1;
    for (; b; b /= 2, a = a * a % mod) {
        if (b % 2) {
            res = res * a % mod;
        }
    }
    return res;
}

vector<i64> get_mult1(vector<i64> mult1, vector<i64> mult2, int index1, int index2)
{// 调整系数直到一个0,一个1
	int is_rev = 0; // 是否index1 < index2
	if (index1 < index2) is_rev = 1;

	while (index1 != 1 and index2 != 1)
	{
		if (is_rev)
		{
			i64 m = index2 / index1;
			mult2[0] -= mult1[0] * m, mult2[1] -= mult1[1] * m;
			index2 -= index1 * m;
		}
		else
		{
			i64 m = index1 / index2;
			mult1[0] -= mult2[0] * m, mult1[1] -= mult2[1] * m;
			index1 -= index2 * m;
		}

		is_rev ^= 1;
	}

	if (index1 == 1) return mult1;
	return mult2;
}

int main()
{
	ios::sync_with_stdio(false); cin.tie(nullptr);
	int n, m; cin >> n >> m;
	int m_cpy = m;
	int index1 = n, index2 = (1 + n) * n / 2;
	int GCD = gcd(index1, index2); index1 /= GCD, index2 /= GCD;

	// 先计算如何获得一个gcd
	vector<i64> mult1(2), mult2(2); mult1[0] = mult2[1] = 1; mult1[1] = mult2[0] = 0;

	mult1 = get_mult1(mult1, mult2, index1, index2);
	mult1[0] = (mult1[0] % m + m) % m, mult1[1] = (mult1[1] % m + m) % m; // 把(s, d)对映射到0 ~ m 之间

	i64 sum = 0;
	for (int i = 0; i < n; i++)
	{
		int num; cin >> num;
		sum += num;
	}
	sum %= m;

	int GCD_m = gcd(GCD, m);
	GCD /= GCD_m, m /= GCD_m;
	i64 idx = power(GCD, m - 2, m); idx = idx % m_cpy;
	mult1[0] = mult1[0] * idx % m_cpy;
	mult1[1] = mult1[1] * idx % m_cpy;

	cout << sum % GCD_m << endl;

	i64 add = sum / GCD_m; add = m_cpy - add;
	cout << mult1[0] * add % m_cpy << " " << mult1[1] * add % m_cpy;

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3544kb

input:

6 24
1 1 4 5 1 4

output:

1
15 19

result:

ok ok

Test #2:

score: 0
Accepted
time: 0ms
memory: 3472kb

input:

7 29
1 9 1 9 8 1 0

output:

0
0 0

result:

ok ok

Test #3:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

1 1
0

output:

0
0 0

result:

ok ok

Test #4:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

1 1000000000
963837005

output:

0
36162995 0

result:

ok ok

Test #5:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

2 1
0 0

output:

0
0 0

result:

ok ok

Test #6:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

2 1000000000
948507269 461613424

output:

0
410120693 589879307

result:

ok ok

Test #7:

score: 0
Accepted
time: 3ms
memory: 3752kb

input:

100000 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...

output:

0
0 0

result:

ok ok

Test #8:

score: -100
Wrong Answer
time: 6ms
memory: 3480kb

input:

100000 1000000000
253614966 278270960 980235895 498158918 928430170 216003119 852570558 948400590 239257296 897053667 294741176 38297441 382677590 406314557 609468973 854148232 314532767 738191551 158215002 5865825 920471826 380037058 356271728 749175327 28319049 208101105 953758995 896570758 521930...

output:

5
805710548 503325948

result:

wrong answer Result not equal to solution.