#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
int T;
vi tri(int N, int M) { // N > M
if (N % M == 0) {
vi z; F0R(i,N-1) z.pb(1);
return z;
}
int r = N%M;
// int res = 2*(N-1)-(N%M); // middle is positive
vi v;
F0R(i,N-1) {
if (i % M < r) v.pb(1);
else v.pb(-1);
}
vi res = vi(v.begin()+r,v.end()); reverse(all(res));
res.insert(res.end(),all(v));
pi x = {r,M-r}; // r*A - (M-r)*B > 0 --> r*A > (M-r)*B --> A/B > (M-r)/r
pi y = {0,0}; F0R(i,N) if (res[i] == 1) y.f ++; else y.s ++;
pi z = {y.s+x.s,y.f+x.f};
F0R(i,sz(res)) {
if (res[i] == 1) res[i] *= z.f;
else res[i] *= z.s;
}
return res;
/*cout << "AH " << N << " " << M << "\n";
for (int i: res) cout << i << " ";
exit(0);
return {};*/
}
vi flip(vi z) {
F0R(i,sz(z)) z[i] *= -1;
return z;
}
vi triN(int N, vi z) {
if (sz(z) < N) return z;
int tmp = 0; F0R(i,N) tmp += z[i];
if (tmp > 0) z = flip(z);
return z;
}
vi triM(int N, vi z) {
if (sz(z) < N) return z;
int tmp = 0; F0R(i,N) tmp += z[i];
if (tmp < 0) z = flip(z);
return z;
}
void solve() {
int N,M; cin >> N >> M;
vi z = tri(max(N,M),min(M,N));
z = triN(N,z);
z = triM(M,z);
cout << sz(z) << "\n";
for (int i: z) cout << i << " ";
cout << "\n";
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> T;
F0R(i,T) solve();
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Ok |
2 |
Correct |
3 ms |
612 KB |
Ok |
3 |
Correct |
4 ms |
720 KB |
Ok |
4 |
Correct |
4 ms |
720 KB |
Ok |
5 |
Correct |
4 ms |
744 KB |
Ok |
6 |
Correct |
2 ms |
748 KB |
Ok |
7 |
Correct |
2 ms |
752 KB |
Ok |
8 |
Correct |
3 ms |
756 KB |
Ok |
9 |
Correct |
3 ms |
764 KB |
Ok |
10 |
Correct |
2 ms |
768 KB |
Ok |
11 |
Correct |
2 ms |
772 KB |
Ok |
12 |
Correct |
3 ms |
832 KB |
Ok |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
844 KB |
there is incorrect sequence |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
848 KB |
Ok |
2 |
Correct |
3 ms |
848 KB |
Ok |
3 |
Incorrect |
2 ms |
848 KB |
there is incorrect sequence |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
3 ms |
860 KB |
there is incorrect sequence |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Ok |
2 |
Correct |
3 ms |
612 KB |
Ok |
3 |
Correct |
4 ms |
720 KB |
Ok |
4 |
Correct |
4 ms |
720 KB |
Ok |
5 |
Correct |
4 ms |
744 KB |
Ok |
6 |
Correct |
2 ms |
748 KB |
Ok |
7 |
Correct |
2 ms |
752 KB |
Ok |
8 |
Correct |
3 ms |
756 KB |
Ok |
9 |
Correct |
3 ms |
764 KB |
Ok |
10 |
Correct |
2 ms |
768 KB |
Ok |
11 |
Correct |
2 ms |
772 KB |
Ok |
12 |
Correct |
3 ms |
832 KB |
Ok |
13 |
Correct |
3 ms |
848 KB |
Ok |
14 |
Correct |
3 ms |
848 KB |
Ok |
15 |
Incorrect |
2 ms |
848 KB |
there is incorrect sequence |
16 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Ok |
2 |
Correct |
3 ms |
612 KB |
Ok |
3 |
Correct |
4 ms |
720 KB |
Ok |
4 |
Correct |
4 ms |
720 KB |
Ok |
5 |
Correct |
4 ms |
744 KB |
Ok |
6 |
Correct |
2 ms |
748 KB |
Ok |
7 |
Correct |
2 ms |
752 KB |
Ok |
8 |
Correct |
3 ms |
756 KB |
Ok |
9 |
Correct |
3 ms |
764 KB |
Ok |
10 |
Correct |
2 ms |
768 KB |
Ok |
11 |
Correct |
2 ms |
772 KB |
Ok |
12 |
Correct |
3 ms |
832 KB |
Ok |
13 |
Incorrect |
2 ms |
844 KB |
there is incorrect sequence |
14 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
504 KB |
Ok |
2 |
Correct |
3 ms |
612 KB |
Ok |
3 |
Correct |
4 ms |
720 KB |
Ok |
4 |
Correct |
4 ms |
720 KB |
Ok |
5 |
Correct |
4 ms |
744 KB |
Ok |
6 |
Correct |
2 ms |
748 KB |
Ok |
7 |
Correct |
2 ms |
752 KB |
Ok |
8 |
Correct |
3 ms |
756 KB |
Ok |
9 |
Correct |
3 ms |
764 KB |
Ok |
10 |
Correct |
2 ms |
768 KB |
Ok |
11 |
Correct |
2 ms |
772 KB |
Ok |
12 |
Correct |
3 ms |
832 KB |
Ok |
13 |
Incorrect |
2 ms |
844 KB |
there is incorrect sequence |
14 |
Halted |
0 ms |
0 KB |
- |