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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#654839#5301. Modulo Ruins the LegendwlmrhWA 6ms3752kbC++201.8kb2024-10-18 22:31:522024-10-18 22:31:53

Judging History

你现在查看的是最新测评结果

  • [2024-10-18 22:31:53]
  • 评测
  • 测评结果:WA
  • 用时:6ms
  • 内存:3752kb
  • [2024-10-18 22:31:52]
  • 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, i64 index1, i64 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);
	i64 n, m; cin >> n >> m;
	i64 m_cpy = m;
	i64 index1 = n, index2 = (1 + n) * n / 2;
	i64 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 (i64 i = 0; i < n; i++)
	{
		i64 num; cin >> num;
		sum += num;
	}
	sum %= m;

	i64 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: 3680kb

input:

6 24
1 1 4 5 1 4

output:

1
15 19

result:

ok ok

Test #2:

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

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: 3544kb

input:

1 1
0

output:

0
0 0

result:

ok ok

Test #4:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

1 1000000000
963837005

output:

0
36162995 0

result:

ok ok

Test #5:

score: 0
Accepted
time: 0ms
memory: 3480kb

input:

2 1
0 0

output:

0
0 0

result:

ok ok

Test #6:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

2 1000000000
948507269 461613424

output:

0
410120693 589879307

result:

ok ok

Test #7:

score: 0
Accepted
time: 3ms
memory: 3484kb

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: 0
Accepted
time: 3ms
memory: 3552kb

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:

46613
535950000 999989281

result:

ok ok

Test #9:

score: 0
Accepted
time: 6ms
memory: 3488kb

input:

100000 998244353
561002596 498658036 721339539 63377827 532179242 934651519 234198881 490149304 2056307 499913682 427679408 694677560 516580968 300129454 816286800 688594301 183049581 456627420 495848352 273497462 953217060 796225499 207179832 728054671 409492082 25003432 810431468 206421553 5569626...

output:

0
813586357 839886562

result:

ok ok

Test #10:

score: -100
Wrong Answer
time: 6ms
memory: 3472kb

input:

100000 823593588
49428507 531539751 61870891 800048628 775048962 784733848 328557377 689322372 219461104 675220341 766029393 488914111 239397724 96030886 535128775 725148224 781428428 415057434 63184780 813491758 45833062 206477264 794055396 620712453 773776688 121478140 274571586 180906090 39075043...

output:

0
611002288 317499580

result:

wrong answer Result not equal to solution.