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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#814226 | #9799. Magical Palette | YipChip# | RE | 4ms | 13732kb | C++23 | 2.1kb | 2024-12-14 16:06:57 | 2024-12-14 16:06:58 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e6 + 10;
int primes[N], st[N], phi[N], cnt;
int vis[N], mod;
void init()
{
phi[1] = 1;
for (int i = 2; i < N; i ++ )
{
if (!st[i]) primes[cnt ++ ] = i, phi[i] = i - 1;
for (int j = 0; i * primes[j] < N; j ++ )
{
st[i * primes[j]] = 1;
if (i % primes[j] == 0)
{
phi[primes[j] * i] = phi[i] * primes[j];
break;
}
phi[primes[j] * i] = phi[i] * (primes[j] - 1);
}
}
}
int get(int n, int m)
{
ll res = 1, cnt = 0;
for (int i = 2; i <= mod; i ++ )
{
res = res * i % mod, cnt ++ ;
while (res != 1 && cnt <= m) res = res * i % mod, cnt ++ ;
if (cnt == m) return i;
else res = cnt = 1;
}
return 0;
}
void solve()
{
int n, m;
cin >> n >> m, mod = n * m;
if (n == m)
{
if (n == 1) return cout << "Yes\n1\n1\n", void();
return cout << "No\n", void();
}
if (phi[mod] % (n - 1) || phi[mod] % (m - 1)) return cout << "No\n", void();
int pd = 0;
if (n > m) swap(n, m), pd = 1;
int mul = get(n, m);
for (int i = 1; i <= n * m; i ++ ) vis[i] = 0;
vector<int> ans1, ans2;
ll res = 1;
res = res * mul % (n * m);
ans1.push_back(1), ans2.push_back(1), vis[1] = 1;
while (res != 1) ans2.push_back(res), res = res * mul % mod, vis[res] = 1;
for (int i = 2; i <= mod; i ++ )
{
if (!vis[i])
{
ans1.push_back(i);
res = i, vis[i] = 1;
res = res * i % mod;
while (!vis[res]) vis[res] = 1, res = res * i % mod;
}
}
ans1.push_back(n), ans2.push_back(m);
if (pd) swap(ans1, ans2);
cout << "Yes\n";
for (int i = 0; i < n; i ++ ) cout << ans1[i] << " \n"[i == n - 1];
for (int i = 0; i < m; i ++ ) cout << ans2[i] << " \n"[i == m - 1];
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
init();
int T = 1;
cin >> T;
while (T -- ) solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 4ms
memory: 13732kb
input:
2 2 3 2 2
output:
Yes 1 2 1 5 3 No
result:
ok 2 cases (2 test cases)
Test #2:
score: -100
Runtime Error
input:
1 1 1000000