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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#676513#8782. Schoolgirlsucup-team5062WA 176ms3732kbC++173.3kb2024-10-25 21:54:272024-10-25 21:54:29

Judging History

你现在查看的是最新测评结果

  • [2024-10-25 21:54:29]
  • 评测
  • 测评结果:WA
  • 用时:176ms
  • 内存:3732kb
  • [2024-10-25 21:54:27]
  • 提交

answer

#include <random>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;

mt19937_64 mt(1);

int64_t MOD;

class modint {
private:
	int64_t x;
public:
	modint() : x(0) {}
	modint(int64_t x_) : x(x_ >= 0 ? x_ % MOD : (x_ + 1) % MOD + (MOD - 1)) {}
	int64_t get() const { return x; }
	modint& operator+=(const modint& m) { x = (x + m.x) % MOD; return *this; }
	modint& operator-=(const modint& m) { x = (x - m.x + MOD) % MOD; return *this; }
	modint& operator*=(const modint& m) { x = __int128_t(x) * m.x % MOD; return *this; }
	modint operator+(const modint& m) const { return modint(*this) += m; }
	modint operator-(const modint& m) const { return modint(*this) -= m; }
	modint operator*(const modint& m) const { return modint(*this) *= m; }
	modint pow(long long b) const {
		modint res(1), a(*this);
		while (b) {
			if (b & 1) {
				res *= a;
			}
			a *= a;
			b >>= 1;
		}
		return res;
	}
	modint inv() const {
		return pow(MOD - 2);
	}
};

bool isprime(long long x) {
	if (x <= 1) {
		return false;
	}
	for (int i = 2; 1LL * i * i <= x; i++) {
		if (x % i == 0) {
			return false;
		}
	}
	return true;
}

string to_string(const vector<int>& arr) {
	string res = "[";
	for (int i = 0; i < int(arr.size()); i++) {
		if (i != 0) {
			res += ", ";
		}
		res += to_string(arr[i]);
	}
	res += "]";
	return res;
}

int main() {
	// step #1. input
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	int N, M, Q;
	cin >> N >> M >> Q;
	vector<int> A(N + M, -1), B(N + M, -1), C(N + M, -1);
	for (int i = N; i < N + M; i++) {
		cin >> A[i] >> B[i] >> C[i];
		A[i]--;
		B[i]--;
		C[i]--;
	}
	vector<int> R(Q);
	vector<vector<int> > P(Q);
	for (int i = 0; i < Q; i++) {
		cin >> R[i];
		P[i].resize(R[i]);
		for (int j = 0; j < R[i]; j++) {
			cin >> P[i][j];
			P[i][j]--;
		}
	}

	// step #2. decide prime
	do {
		MOD = 2 * N * (mt() % (1000000000000000 / (2 * N))) + 1;
	} while (!isprime(MOD));
	
	// step #3. decide root
	vector<int> pdiv;
	for (int i = 2; 1LL * i * i <= MOD - 1; i++) {
		if ((MOD - 1) % i == 0) {
			if (isprime(i)) {
				pdiv.push_back(i);
			}
			if (isprime((MOD - 1) / i)) {
				pdiv.push_back((MOD - 1) / i);
			}
		}
	}
	sort(pdiv.begin(), pdiv.end());
	modint root;
	while (true) {
		root = mt() % (MOD - 1) + 1;
		bool f = true;
		for (int i : pdiv) {
			if (modint(root).pow((MOD - 1) / i).get() == 1) {
				f = false;
				break;
			}
		}
		if (f) {
			break;
		}
	}
	modint gen = root.pow((MOD - 1) / (2 * N));

	// step #4. initialize
	vector<modint> h(N + M);
	for (int i = 0; i < N; i++) {
		h[i] = gen.pow(i * 2);
	}
	
	// step #5. simulation
	for (int i = N; i < N + M; i++) {
		h[i] = h[A[i]] + h[C[i]] - h[B[i]];
	}

	// step #6. calculation
	for (int i = 0; i < Q; i++) {
		if ((2 * N) % R[i] != 0) {
			cout << "No\n";
		} else {
			modint center = 0;
			for (int j = 0; j < R[i]; j++) {
				center += h[P[i][j]];
			}
			center *= modint(R[i]).inv();
			vector<int> q1(R[i]), q2(R[i]);
			for (int j = 0; j < R[i]; j++) {
				q1[j] = ((h[P[i][0]] - center) * gen.pow((2 * N) / R[i] * j) + center).get();
				q2[j] = h[P[i][j]].get();
			}
			sort(q1.begin(), q1.end());
			sort(q2.begin(), q2.end());
			cout << (q1 == q2 ? "Yes\n" : "No\n");
		}
	}

	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 141ms
memory: 3484kb

input:

3 6 8
1 2 3
3 1 4
5 4 3
3 1 2
4 5 3
4 5 2
6 4 7 6 5 1 2
3 1 3 2
3 1 1 8
4 2 5 6 7
3 2 1 4
3 6 5 9
3 4 7 9
4 1 3 2 8

output:

Yes
Yes
Yes
No
No
No
Yes
No

result:

ok 8 token(s): yes count is 4, no count is 4

Test #2:

score: 0
Accepted
time: 176ms
memory: 3548kb

input:

12 0 1
12 12 11 10 9 8 7 6 5 4 3 2 1

output:

Yes

result:

ok YES

Test #3:

score: -100
Wrong Answer
time: 141ms
memory: 3732kb

input:

3 0 6685
5 1 3 1 2 2
3 1 2 3
5 3 1 3 3 1
4 1 1 1 3
3 3 2 1
5 2 3 2 1 3
6 2 2 3 2 3 1
5 3 1 2 3 2
3 3 3 2
5 3 2 2 2 3
5 2 2 3 3 1
6 3 3 1 3 1 3
6 2 3 3 2 2 1
5 2 2 3 2 2
6 2 3 3 2 1 3
6 2 2 2 2 1 3
3 3 1 2
4 3 2 1 1
5 3 1 3 2 3
4 3 1 1 2
4 2 2 2 3
3 1 2 2
4 2 3 3 1
3 2 2 2
4 1 2 2 3
3 3 3 3
4 1 3 1 3...

output:

No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
N...

result:

wrong answer expected YES, found NO [107th token]