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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
#708094#5301. Modulo Ruins the Legendlonelywolf#RE 6ms3684kbC++201.4kb2024-11-03 19:31:212024-11-03 19:31:22

Judging History

你现在查看的是最新测评结果

  • [2024-11-03 19:31:22]
  • 评测
  • 测评结果:RE
  • 用时:6ms
  • 内存:3684kb
  • [2024-11-03 19:31:21]
  • 提交

answer

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

#define int long long  

int exgcd(int a, int b, int &x, int &y) {
    if (!b) {
        x = 1, y = 0;
        return a;
    }
    int g = exgcd(b, a % b, y, x);
    y -= a / b * x;
    return g;
}

bool liEu(int a, int b, int c, int& x, int& y) {
    int d = exgcd(a, b, x, y);
    if (c % d != 0) 
        return false;
    int k = c / d;
    x *= k;
    y *= k;
    return true;
}

int norm(int x, int m) {
	while (x < 0) {
		x += m;
	}
	if (x >= m) {
		x %= m;
	}
	return x;
}

signed main() {  
    ios::sync_with_stdio(false);
    cin.tie(nullptr);  

	int n, m;
	cin >> n >> m;

	int a = 0;
	for (int i = 1; i <= n; i++) {
		int x;
		cin >> x;
		a = (a + x) % m;
	}

	int b = n % m, c = (n + 1) * n / 2 % m;
	int g = gcd(b, c);
	if (g == 0) {
		cout << a << "\n";
		cout << 0 << " " << 0 << "\n";
		return 0;
	}

	g = gcd(g, m);

	int t = m / g;
	int ans = LLONG_MAX;
	int k = 0;

	int now = 0;
	while (now < t) {
		int sum = a + now * g;
		assert(sum >= 0);
		if (ans > sum % m) {
			ans = sum % m;
			k = now;
		}
		if (ans == 0) {
			break;
		}
		int u = (sum + m - 1) / m * m;
		int add = (u - sum + g - 1) / g;
		now += add;
	}

	int x, y;
	liEu(b, c, k * g, x, y);
	x = norm(x, m);
	y = norm(y, m);

	assert(ans == (a + x * b + y * c) % m);
	cout << ans << "\n";
	cout << x << " " << y << "\n";

    return 0;
}  
  

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3572kb

input:

6 24
1 1 4 5 1 4

output:

1
15 3

result:

ok ok

Test #2:

score: 0
Accepted
time: 0ms
memory: 3684kb

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: 3572kb

input:

1 1
0

output:

0
0 0

result:

ok ok

Test #4:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

1 1000000000
963837005

output:

0
0 36162995

result:

ok ok

Test #5:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

2 1
0 0

output:

0
0 0

result:

ok ok

Test #6:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

2 1000000000
948507269 461613424

output:

0
410120693 589879307

result:

ok ok

Test #7:

score: 0
Accepted
time: 3ms
memory: 3552kb

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: 6ms
memory: 3628kb

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
0 9281

result:

ok ok

Test #9:

score: -100
Runtime Error

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:


result: