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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#814273 | #9799. Magical Palette | YipChip# | WA | 41ms | 13848kb | C++23 | 2.7kb | 2024-12-14 16:27:24 | 2024-12-14 16:27:24 |
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 ++ )
{
if (i == n || i == m) continue;
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 == 1)
{
cout << "Yes\n1\n";
for (int i = 1; i <= m; i ++ ) cout << i << " \n"[i == m];
return;
}
if (m == 1)
{
for (int i = 1; i <= n; i ++ ) cout << i << " \n"[i == n];
cout << "Yes\n1\n";
return;
}
if (n == m) 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);
if (!mul) return cout << "No\n", void();
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;
ans1.push_back(n), ans2.push_back(m);
for (int i = 0; i < m; i ++ ) vis[1ll * ans1[i] * n % mod] = 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;
}
}
if (pd) swap(ans1, ans2), swap(n, m);
cout << "Yes\n";
// for (int i = 0; i < n; i ++ )
// {
// for (int j = 0; j < m; j ++ )
// {
// cout << ans1[i] * ans2[j] % mod << ' ';
// }
// cout << "\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: 6ms
memory: 13768kb
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
Wrong Answer
time: 41ms
memory: 13848kb
input:
1 1 1000000
output:
Yes 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 10...
result:
wrong answer Integer parameter [name=b[1000000]] equals to 1000000, violates the range [0, 999999] (test case 1)