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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#436383 | #8782. Schoolgirls | ucup-team1198# | WA | 4ms | 3824kb | C++20 | 4.1kb | 2024-06-09 00:23:15 | 2024-06-09 00:23:15 |
Judging History
answer
#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>
using namespace std;
const int HMOD = 998244353;
int rnd(int x) {
return (1ll * x * x) % HMOD;
}
int P;
int reduce(int x) {
if (x >= P) return x - P;
return x;
}
int norm(int x) {
if (x < 0) return x + P;
return x;
}
int add(int a, int b) {
return norm(a - P + b);
}
int sub(int a, int b) {
return norm(a - b);
}
int mul(int a, int b) {
return (1ll * a * b) % P;
}
int pw(int x, int n) {
int res = 1;
while (n) {
if (n % 2 == 0) {
x = mul(x, x);
n /= 2;
} else {
res = mul(res, x);
--n;
}
}
return res;
}
int XI;
vector<int> operator+(vector<int> a, const vector<int>& b) {
for (int i = 0; i < (int)a.size(); ++i) {
a[i] = add(a[i], b[i]);
}
return a;
}
vector<int> operator-(vector<int> a, const vector<int>& b) {
for (int i = 0; i < (int)a.size(); ++i) {
a[i] = sub(a[i], b[i]);
}
return a;
}
vector<int> operator*(vector<int> a, const vector<int>& b) {
for (int i = 0; i < (int)a.size(); ++i) {
a[i] = mul(a[i], b[i]);
}
return a;
}
vector<int> operator*(vector<int> a, int n) {
for (int& x : a) {
x = mul(n, x);
}
return a;
}
const int MAXN = 4e4 + 100;
vector<int> coord[MAXN];
const int B = 5757, HMOD2 = 1e9 + 1000 - 7;
int hsh(const vector<int>& a) {
int res = 0;
for (int x : a) {
res = (1ll * res * B + x) % HMOD2;
}
return rnd(res);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n;
cin >> n;
for (int i = (HMOD2 + n - 1) / n * n + 1;; i += n) {
bool f = true;
for (int x = 2; x * x <= i && f; ++x) {
f &= (i % x != 0);
}
if (f) {
P = i;
break;
}
}
/// cerr << P << endl;
/// P is a prime, n | (P - 1)
int p1 = P - 1;
vector<int> prm;
for (int i = 2; i * i <= p1; ++i) {
if (p1 % i == 0) {
prm.push_back(i);
while (p1 % i == 0) p1 /= i;
}
}
if (p1 != 1) {
prm.push_back(p1);
}
for (int g = 2;; ++g) {
bool f = true;
for (int q : prm) {
if (pw(g, (P - 1) / q) == 1) {
f = false;
break;
}
}
if (f) {
XI = pw(g, (P - 1) / n); /// nth root of unity
break;
}
}
vector<int> x(n);
x[0] = 1;
for (int i = 1; i < n; ++i) {
x[i] = mul(x[i - 1], XI);
}
coord[0] = vector<int>(n, 1);
for (int i = 1; i < n; ++i) {
coord[i] = coord[i - 1] * x;
}
int m, k;
cin >> m >> k;
for (int i = 0; i < m; ++i) {
int a, b, c;
cin >> a >> b >> c;
--a; --b; --c;
coord[i + n] = coord[a] + coord[c] - coord[b];
}
while (k--) {
int r;
cin >> r;
vector<int> pos(r);
vector<int> sum(n, 0);
for (int i = 0; i < r; ++i) {
cin >> pos[i];
--pos[i];
sum = sum + coord[pos[i]];
}
vector<int> cur_rot;
if (n % r == 0) {
cur_rot = coord[n / r];
} else if (n % 2 == 1 && (2 * n) % r == 0) {
cur_rot = vector<int>(n, 0) - coord[(n + 1) / 2];
int val = 2 * n / r;
val = (val - 1) / 2;
cur_rot = cur_rot * coord[val];
} else {
cout << "No\n";
/// cout << "here" << "\n";
continue;
}
int check = 0, rot = 0;
for (int i = 0; i < r; ++i) {
vector<int> cur = (coord[pos[i]] * r - sum);
/**for (int x : cur) {
cerr << x << " ";
}
cerr << endl;
cerr << "->\n";*/
check = (check + hsh(cur)) % HMOD;
cur = cur * cur_rot;
/**for (int x : cur) {
cerr << x << " ";
}
cerr << "\n---\n";*/
rot = (rot + hsh(cur)) % HMOD;
}
if (check == rot) {
cout << "Yes\n";
} else {
cout << "No\n";
}
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3824kb
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: 3624kb
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: 4ms
memory: 3564kb
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]