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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#676498 | #8782. Schoolgirls | ucup-team5062# | WA | 3ms | 3776kb | C++17 | 3.3kb | 2024-10-25 21:50:35 | 2024-10-25 21:50:36 |
Judging History
answer
#include <random>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
mt19937_64 mt(1);
int MOD;
class modint {
private:
int x;
public:
modint() : x(0) {}
modint(long long x_) : x(x_ >= 0 ? x_ % MOD : (x_ + 1) % MOD + (MOD - 1)) {}
int 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 = 1LL * 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() % (1000000000 / (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
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3608kb
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: 1ms
memory: 3488kb
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: 3ms
memory: 3776kb
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]