Submission #91951

#	Time	Username	Problem	Language	Result	Execution time	Memory
91951		popovicirobert	Nice sequence (IZhO18_sequence)	C++14	76 / 100	2057 ms	51120 KiB

sequence

#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
#define ld long double
// 217
// 44

using namespace std;

const int INF = 5e8;
const int MAXN = (int) 2e5;

vector <int> g[2 * MAXN + 1];
char vis[2 * MAXN + 1];

void dfs(int nod, bool &ok) {
    vis[nod] = 1;
    for(auto it : g[nod]) {
        if(vis[it] == 0) {
            dfs(it, ok);
        }
        else if(vis[it] == 1) {
            ok = 0;
        }
        if(ok == 0) {
            return ;
        }
    }
    vis[nod] = 2;
}

inline bool check(int len, int n, int m) {
    int i;
    for(i = 0; i <= len; i++) {
        g[i].clear();
        vis[i] = 0;
    }
    for(i = 1; i <= len; i++) {
        if(i >= n) {
            g[i - n].push_back(i);
        }
        if(i >= m) {
            g[i].push_back(i - m);
        }
    }
    bool ok = 1;
    for(i = 0; i <= len; i++) {
        if(vis[i] == 0) {
            dfs(i, ok);
        }
    }
    return ok;
}

inline int get(int n, int m) {
    int res = 0;
    for(int step = 1 << 18; step; step >>= 1) {
        if(res + step <= n + m && check(res + step, n, m)) {
            res += step;
        }
    }
    return res;
}

vector <int> aux[2 * MAXN + 1];
vector <int> ord;
int sp[2 * MAXN + 1];

void dfs1(int nod) {
    vis[nod] = 1;
    for(auto it : aux[nod]) {
        if(vis[it] == 0) {
            dfs1(it);
        }
    }
    ord.push_back(nod);
}

inline void solve(int sz, int n, int m) {
    int i;
    for(i = 0; i <= sz; i++) {
        aux[i].clear();
        vis[i] = 0;
        if(i - n >= 0) {
            aux[i - n].push_back(i);
        }
        if(i - m >= 0) {
            aux[i].push_back(i - m);
        }
    }
    ord.clear();
    for(i = 0; i <= sz; i++) {
        if(vis[i] == 0) {
            dfs1(i);
        }
    }
    int val = -INF;
    for(auto it : ord) {
        if(it == 0) {
            val = max(val, 0);
            sp[it] = 0;
            val++;
            continue;
        }
        for(auto itr : aux[it]) {
            val = max(val, sp[itr] + 1);
        }
        sp[it] = val;
        val++;
    }
}

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int t, i, j;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> t;
    while(t > 0) {
        t--;
        int n, m;
        cin >> n >> m;
        int mn = min(n, m), mx = max(n, m);
        if(mx % mn == 0) {
            cout << mx - 1 << "\n";
            int sign = 1;
            if(mn == n) {
                sign = -1;
            }
            for(i = 1; i < mx; i++) {
                cout << sign << " ";
            }
            if(mx > 1) {
                cout << "\n";
            }
            continue;
        }
        int sz = get(n, m);
        solve(sz, n, m);
        cout << sz << "\n";
        for(i = 1; i <= sz; i++) {
            cout << sp[i] - sp[i - 1] << " ";
        }
        cout << "\n";
    }
    //cin.close();
    //cout.close();
    return 0;
}

Compilation message (stderr)

sequence.cpp: In function 'int main()':
sequence.cpp:117:15: warning: unused variable 'j' [-Wunused-variable]
     int t, i, j;
               ^

• Subtask 1: 6 / 6
• Subtask 2: 9 / 9
• Subtask 3: 14 / 14
• Subtask 4: 15 / 15
• Subtask 5: 14 / 14
• Subtask 6: 18 / 18
• Subtask 7: 0 / 24