# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1172403 | Vovamatrix | Nice sequence (IZhO18_sequence) | C++20 | 0 ms | 0 KiB |
//https://oj.uz/problem/view/IZhO18_sequence
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define PI acos(-1)
#define LSB(i) ((i) & -(i))
#define ll long long
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define sc second
#define th third
#define fo fourth
#define pii pair<int,int>
#define pll pair<ll,ll>
#define ldb double
#define INF 1e15
#define MOD 1000000007
#define endl "\n"
#define all(data) data.begin(),data.end()
#define TYPEMAX(type) std::numeric_limits<type>::max()
#define TYPEMIN(type) std::numeric_limits<type>::min()
#define MAXN 400007
ll degin[MAXN],psum[MAXN],a[MAXN];
vector<ll> adj[MAXN],tp;
void TopSort(ll k)
{
queue<ll> q;
for(int i=0;i<=k;i++)
{
if(degin[i]==0) q.push(i);
}
while(!q.empty())
{
ll u=q.front(); q.pop(); tp.pb(u);
for(auto v:adj[u])
{
degin[v]--;
if(degin[v]==0) q.push(v);
}
}
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
ll tt; cin>>tt;
while(tt--)
{
ll n,m; cin>>n>>m; tp.clear();
ll k=n+m-__gcd(n,m)-1;
for(int i=0;i<=k;i++) {adj[i].clear(); c[i]=0; degin[i]=0;}
for(int i=1;i<=k;i++)
{
if(i+m-1<=k) {adj[i-1].pb(i+m-1); degin[i+m-1]++;}
if(i+n-1<=k) {adj[i+n-1].pb(i-1); degin[i-1]++;}
}
TopSort(k);
ll idx;
for(int i=0;i<=k;i++)
{
if(tp[i]==0) {idx=i; break;}
}
psum[0]=0;
for(int i=idx-1;i>=0;i--) psum[tp[i]]=psum[tp[i+1]]-1;
for(int i=idx+1;i<=k;i++) psum[tp[i]]=psum[tp[i-1]]+1;
for(int i=1;i<=k;i++) a[i]=psum[i]-psum[i-1];
cout<<k<<endl;
for(int i=1;i<=k;i++) cout<<a[i]<<" ";
cout<<endl;
}
return 0;
}