제출 #54458

#제출 시각아이디문제언어결과실행 시간메모리
54458egorlifarNice sequence (IZhO18_sequence)C++17
100 / 100
830 ms64572 KiB
/*
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 */
#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <iomanip>
#include <deque>
    
     
using namespace std;
template<typename T1, typename T2>inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; }
template<typename T1, typename T2>inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } 
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const pair<T, U> &_p) { _out << _p.first << ' ' << _p.second; return _out; }
template<typename T, typename U> inline istream &operator>> (istream &_in, pair<T, U> &_p) { _in >> _p.first >> _p.second; return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const vector<T> &_v) { if (_v.empty()) { return _out; } _out << _v.front(); for (auto _it = ++_v.begin(); _it != _v.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline istream &operator>> (istream &_in, vector<T> &_v) { for (auto &_i : _v) { _in >> _i; } return _in; }
template<typename T> inline ostream &operator<< (ostream &_out, const set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_set<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T> inline ostream &operator<< (ostream &_out, const unordered_multiset<T> &_s) { if (_s.empty()) { return _out; } _out << *_s.begin(); for (auto _it = ++_s.begin(); _it != _s.end(); ++_it) { _out << ' ' << *_it; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
template<typename T, typename U> inline ostream &operator<< (ostream &_out, const unordered_map<T, U> &_m) { if (_m.empty()) { return _out; } _out << '(' << _m.begin()->first << ": " << _m.begin()->second << ')'; for (auto _it = ++_m.begin(); _it != _m.end(); ++_it) { _out << ", (" << _it->first << ": " << _it->second << ')'; } return _out; }
#define sz(c) (int)(c).size()
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define left left228
#define right right228
#define next next228
#define rank rank228
#define prev prev228
#define y1 y1228                                                         
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define files(FILENAME) read(FILENAME), write(FILENAME)
#define pb push_back
#define x first
#define y second
const string FILENAME = "input";
const int MAXN = 400001;


vector<int> g[MAXN];
int used[MAXN];
bool bad = false;
vector<int> rg[MAXN];
long long pref[MAXN];


void dfs(int u) {
    used[u] = 1;
    for (auto h: g[u]) {
        if (!used[h]) {
            dfs(h);
            if (bad) {
                return;
            }
        } else if (used[h] == 1) {
            bad = true;
            return;
        }
    }
    used[u] = 2;
}


bool good(int len, int n, int m) {
    for (int i = 0; i <= len; i++) {
        g[i].clear();
        used[i] = false;
    }
    bad = false;
    for (int i = 1; i <= len; i++) {
        if (i >= n) {
            g[i].pb(i - n);
        } 
        if (i >= m) {
            g[i - m].pb(i);
        }
    }
    for (int i = 0; i <= len; i++) {
        if (!used[i]) {
            dfs(i);
            if (bad) {
                return false;
            }
        }
    }
    return !bad;
}


int timer = 0;
int in[MAXN];
int res[MAXN];
int nn, mm;
int lens;


void dfs1(int u) {
    used[u] = 1;
    if (u >= nn && !used[u - nn]) {
        dfs1(u - nn);
    }
    if (u + mm <= lens && !used[u + mm]) {
        dfs1(u + mm);
    }
    res[u] = timer; 
    timer++;
}



void solve(int n, int m) {
    nn = n;
    mm = m;
    if (n == m) {
        cout << n - 1 << '\n';
        for (int i = 0; i < n - 1; i++) {
            cout << 1 << ' ';
        }
        cout << '\n';
        return;
    }
    int l = 1;
    // int r = n + m;
    // while (l != r) {
    //     int mid = (l + r + 1) >> 1;
    //     if (good(mid, n, m)) {
    //         l = mid;
    //     } else {
    //         r = mid - 1;
    //     }
    // }
    l = n + m - __gcd(n, m) - 1;
    lens = l;
    for (int i = 0; i <= l; i++) {
        g[i].clear();
        rg[i].clear();
        used[i] = false;
        pref[i] = 0;
    }
    // for (int i = 1; i <= l; i++) {
    //     if (i >= n) {
    //         g[i].pb(i - n);
    //         //i < i - n
    //     } 
    // }
    // for (int i = 1; i <= l; i++) {
    //     if (i >= m) {
    //         g[i - m].pb(i);
    //     }
    // }
    timer = 0;
    for (int i = 0; i <= l; i++) {
        if (!used[i]) {
            dfs1(i);
        }
    }
    cout << l << '\n';
    for (int i = 0; i < l; i++) {
        cout << res[i] - res[i + 1] << ' ';
    }
    cout << '\n';
}
//-1 + x >= 2
//x >= 3



int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	//read(FILENAME);
    int t;
    cin >> t;
    for (int it = 0; it < t; it++) {
        int n, m;
        cin >> n >> m;
        solve(n, m);
    }
}          
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