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arc118d.cpp
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65 lines (64 loc) · 1.34 KB
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#include <bits/stdc++.h>
#define rep(i, j, k) for(int i = j; i <= k; ++ i)
#define per(i, j, k) for(int i = j; i >= k; -- i)
using namespace std;
using ll = long long;
const int N = 1e5 + 10;
int p, a, b, pa[N], pb[N], n, m;
bool vis[N];
void solve() {
fill(vis, vis + p, 0);
for(int z = 1, i = 1; i < p; i ++) {
z = (ll)z * a % p;
vis[z] = 1;
if(z == 1) { n = i; break ; }
}
for(int z = 1, i = 1; i < p; i ++) {
z = (ll)z * b % p;
if(vis[z]) { m = i; break ; }
}
}
int main() {
scanf("%d%d%d", &p, &a, &b);
solve();
if((ll)n * m != p - 1) {
puts("No"); return 0;
}
// cerr << "n = " << n << ", m = " << m << endl;
puts("Yes");
if(n == 1) {
for(int z = 1, i = 1; i <= p; i ++) {
printf("%d ", z);
z = (ll)z * b % p;
}
puts("");
return 0;
}
if(m == 1) {
for(int z = 1, i = 1; i <= p; i ++) {
printf("%d ", z);
z = (ll)z * a % p;
}
puts("");
return 0;
}
if(n & 1) {
swap(a, b);
solve();
}
*pa = 1;
rep(i, 1, n) pa[i] = (ll)pa[i - 1] * a % p;
*pb = 1;
rep(i, 1, m) pb[i] = (ll)pb[i - 1] * b % p;
for(int i = 1, x = 0, y = 0; i <= p; i ++) {
int z = (ll)pa[x] * pb[y] % p;
printf("%d ", z);
if((y == m - 1 && !(x & 1)) || (!y && (x & 1))) {
x ++;
} else {
y += x & 1 ? -1 : 1;
}
}
puts("");
return 0;
}