Submission #750151

#TimeUsernameProblemLanguageResultExecution timeMemory
750151GrindMachineLong Mansion (JOI17_long_mansion)C++17
100 / 100
822 ms146196 KiB
// Om Namah Shivaya
 
#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;
 
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
 
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "YES" << endl
#define no cout << "NO" << endl
 
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
 
template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}
 
template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}
 
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
 
/*
 
refs:
https://codeforces.com/blog/entry/51010
 
*/
 
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
 
void solve(int test_case)
{
    int n; cin >> n;
    vector<int> c(n+5);
    rep1(i,n-1) cin >> c[i];
    
    vector<int> a[n+5];
    rep1(i,n){
        int k; cin >> k;
        rep1(j,k){
            ll x; cin >> x;
            a[i].pb(x);
        }
    }    
 
    // find left_pos and right_pos
    vector<int> left_pos(n+5), right_pos(n+5);
    vector<int> pos(n+5);
 
    rep1(i,n){
        trav(x,a[i]){
            pos[x] = i;
        }
 
        left_pos[i] = pos[c[i]];
    }
 
    fill(all(pos),n+1);
 
    rev(i,n,1){
        trav(x,a[i]){
            pos[x] = i;
        }
 
        right_pos[i] = pos[c[i-1]];
    }
    
    // find max unextendable range for every l
    vector<int> left_here[n+5];
    rep1(i,n) left_here[left_pos[i]].pb(i);

    vector<int> mxbad(n+5);
    set<int> st;

    rep1(l,n){
        trav(i,left_here[l-1]){
            st.insert(i);
        }

        // l <= r <= rx, r is max possible
        int rx = right_pos[l]-1;
        auto it = st.upper_bound(rx);
        if(it != st.begin()){
            it--;
            int r = *it;
            if(r >= l){
                mxbad[l] = r;
            }
        }
    }

    // for every i, find the closest to left l with mxbad[l] >= i
    vector<int> mxbad_here[n+5];
    rep1(i,n) mxbad_here[mxbad[i]].pb(i);
    st.clear();

    vector<int> closestl(n+5);

    rev(i,n,1){
        trav(l,mxbad_here[i]){
            st.insert(l);
        }

        // find max l <= i in set
        auto it = st.upper_bound(i);
        assert(it != st.begin());

        it--;
        int l = *it;
        closestl[i] = l;
    }

    // for every i, find smallest r s.t r >= i and range [closestl[i],r] is bad
    vector<int> closestl_here[n+5];
    rep1(i,n) closestl_here[closestl[i]].pb(i);

    vector<pii> range(n+5);
    st.clear();

    rep1(l,n){
        trav(i,left_here[l-1]){
            st.insert(i);
        }

        trav(i,closestl_here[l]){
            // find smallest r >= i
            auto it = st.lower_bound(i);
            assert(it != st.end());

            int r = *it;
            range[i] = {l,r};
        }
    }

    int q; cin >> q;
 
    while(q--){
        // can go from x to y if y is in the reachable range of x
        int x,y; cin >> x >> y;
        auto [l,r] = range[x];
        if(l <= y and y <= r){
            yes;
        }
        else{
            no;
        }
    }

    /*

    vector<pii> ranges;
    
    rep1(l,n){
        // find all r s.t [l,r] is unextendable
        for(int r = l; r < right_pos[l]; ++r){
            if(left_pos[r] < l){
                ranges.pb({l,r});
            }
        }
    }
    
    vector<pii> range(n+5,{-inf1,inf1});
 
    for(auto [l,r] : ranges){
        for(int i = l; i <= r; ++i){
            if(l > range[i].ff){
                range[i] = {l,r};
            }
        }        
    }
 
    int q; cin >> q;
 
    while(q--){
        int x,y; cin >> x >> y;
        auto [l,r] = range[x];
        if(l <= y and y <= r){
            yes;
        }
        else{
            no;
        }
    }

    */
}
 
int main()
{
    fastio;
 
    int t = 1;
    // cin >> t;
 
    rep1(i, t) {
        solve(i);
    }
 
    return 0;
}
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