Submission #1107887

#	Time	Username	Problem	Language	Result	Execution time	Memory
1107887		Tymond	Longest beautiful sequence (IZhO17_subsequence)	C++17	23 / 100	75 ms	2128 KiB

subsequence

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
 
struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
 
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

const int MAXN = 1e5 + 7;
int a[MAXN];
int k[MAXN];
int n;

void solve1(){
    int ans = 1;
    vi dp(n + 1, 0);
    vi lst(n + 1, -1);
    for(int i = 1; i <= n; i++){
        dp[i] = 1;
        for(int j = 1; j < i; j++){
            if(__builtin_popcount(a[i] & a[j]) == k[i]){
                if(dp[j] + 1 > dp[i]){
                    lst[i] = j;
                }

                dp[i] = max(dp[j] + 1, dp[i]);
            }
        }
        ans = max(ans, dp[i]);
    }

    cout << ans << '\n';
    for(int i = 1; i <= n; i++){
        if(dp[i] == ans){
            vi res;
            int v = i;
            while(v != -1){
                res.pb(v);
                v = lst[v];
            }

            reverse(all(res));
            for(auto ele : res){
                cout << ele << ' ';
            }
            cout << '\n';
            return;
        }
    }
}

void solve2(){
    vector<pii> dp((1 << 8) + 7, mp(0, -1));
    vi lst(n + 1, -1);
    int ans = 0;
    for(int i = 1; i <= n; i++){
        if(dp[a[i]].fi > 0){
            if(__builtin_popcount(a[i]) == k[i]){
                lst[i] = dp[a[i]].se;
                dp[a[i]].fi++;
                dp[a[i]].se = i;
            }
        }else{
            dp[a[i]].fi = 1;
            dp[a[i]].se = i;
        }

        for(int j = 0; j < (1 << 8); j++){
            if(j == a[i]){
                continue;
            }
            if(__builtin_popcount(j & a[i]) == k[i]){
                if(dp[j].fi + 1 > dp[a[i]].fi){
                    lst[i] = dp[j].se;
                    dp[a[i]].fi = dp[j].fi + 1;
                }
            }
        }
    }

    cout << ans << '\n';
    for(int i = 0; i < (1 << 8); i++){
        if(dp[i].fi == ans){
            vi res;
            int v = dp[i].se;
            while(v != -1){
                res.pb(v);
                v = lst[v];
            }

            reverse(all(res));
            for(auto ele : res){
                cout << ele << ' ';
            }
            cout << '\n';
            return;
        }
    }
}

void solve(){
    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> a[i];
    }

    for(int i = 1; i <= n; i++){
        cin >> k[i];
    }

    if(n <= 5000){
        solve1();
    }else{
        solve2();
    }
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
    //freopen("subsequence.in", "r", stdin);
    //freopen("subsequence.out", "w", stdout);
    int t = 1;
    //cin >> t;
    while(t--){
        solve();
    }

    return 0;
}

• Subtask 1: 7 / 7
• Subtask 2: 16 / 16
• Subtask 3: 0 / 17
• Subtask 4: 0 / 60