2025-09-12 14:50:25 -03:00

141 lines
2.9 KiB
C++

/* Problem URL: https://codeforces.com/contest/2107/problem/A */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
while (t--) {
int n;
cin >> n;
vi fds(n);
cin >> fds;
vi pref(n);
vi suf(n);
pref[0] = fds[0];
suf.back() = fds.back();
nrep(i, 1, n) {
pref[i] = __gcd(pref[i - 1], fds[i]);
suf[n - i - 1] = __gcd(suf[n - i], fds[n - i - 1]);
}
if (fds[0] != suf[1]) {
cout << "Yes\n";
cout << "1";
nrep(i, 1, n) {
cout << " 2";
}
cout << '\n';
continue;
}
if (fds[n - 1] != pref[n - 2]) {
cout << "Yes\n";
rep(i, n - 1) {
cout << "1 ";
}
cout << "2\n";
continue;
}
int choice = -1;
nrep(i, 1, n - 1) {
int act = __gcd(pref[i - 1], suf[i + 1]);
if (act != fds[i]) {
choice = i;
break;
}
}
if (choice != -1) {
cout << "Yes\n";
rep(i, choice) {
cout << "1 ";
}
cout << "2";
nrep(i, choice + 1, n) {
cout << " 1";
}
cout << "\n";
} else {
cout << "No\n";
}
}
}