Submission #519366

#TimeUsernameProblemLanguageResultExecution timeMemory
519366Dasha_GnedkoNice sequence (IZhO18_sequence)C++17
100 / 100
1937 ms53564 KiB
#include <bits/stdc++.h>

//#include <ext/pb_ds/detail/standard_policies.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>

//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx2")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4")

using namespace std;

//using namespace __gnu_pbds;
//template <typename T> using ordered_set = tree <T, null_type, less < T >, rb_tree_tag, tree_order_statistics_node_update>;

mt19937 gen(time(0));

#define ll long long
#define ld long double
#define pb push_back
#define F first
#define S second
#define TIME clock() * 1.0 / CLOCKS_PER_SEC
#define sz(a) int32_t(a.size())
#define endl '\n'
//#define int long long

const int N = 1e6 + 100;
const int M = 31;
const int mod = 998244353;
const int inf = 1e9 + 7;

int a[N], n, m, u[N], fl, len;
vector < int > ve;

void DFS(int v, int c)
{
    if (!v) c = 0;
    a[v] = c;
    u[v] = 1;
    if (v >= n)
    {
        if (u[v - n]) fl = 1;
        else DFS(v - n, c - 1);
    }
    if (v + m <= len)
    {
        if (u[v + m]) fl = 1;
        else DFS(v + m, c - 1);
    }
    if (c > 0) ve.pb(v);
}

bool good(int d)
{
    len = d;
    for(int i = 0; i <= len; i++)
        u[i] = 0;
    fl = 0;
    ve.clear();
    for(int i = 0; i <= len; i++)
    {
        if (i >= m) continue;
        if (i + n <= len) continue;
        DFS(i, len);
    }
    if (fl) return 0;
    for(int i = 0; i < sz(ve); i++)
        a[ve[i]] = i + 1;
    for(int i = len; i >= 0; i--)
    {
        if (!u[i]) return 0;
        if (i) a[i] -= a[i - 1];
    }
    return 1;
}

void solve()
{
    cin >> n >> m;
    int x = n, y = m;
    if (n < m) swap(n, m);
    if (n % m == 0)
    {
        cout << n - 1 << endl;
        for(int i = 0; i < n - 1; i++)
        {
            if (x == max(x, y)) cout << "1 ";
            else cout << "-1 ";
        }
        cout << endl;
        return;
    }
    int l = n, r = n + m, ans = -1;
    while (l <= r)
    {
        int mid = (l + r) / 2;
        if (good(mid))
        {
            ans = mid;
            l = mid + 1;
        }
        else r = mid - 1;
    }
    good(ans);
    cout << ans << endl;
    for(int i = 1; i <= ans; i++)
    {
        if (x > y) a[i] *= -1;
        cout << a[i] << " ";
    }
}

int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#else
//    freopen("input.txt", "r", stdin);
//    freopen("output.txt", "w", stdout);
#endif // LOCAL

    int T;
    cin >> T;
    while (T--)
        solve();
}
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