oj.uz

Submission #1080410

# Submission time Handle Problem Language Result Execution time Memory
1080410 2024-08-29T09:38:05 Z vjudge1 Long Mansion (JOI17_long_mansion) C++17
100 / 100
 603 ms 143840 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll int
#define pll pair<int, int>
#define pb push_back
#define F first
#define S second  
#define all(x) (x).begin(), (x).end()
 
const ll N = 5e5 + 100;
const ll inf = 1e9;
const ll mod = 1e9 + 7;
const ll block = 230;
ll n, q;
ll c[N], pos[N];
ll L[N][21], R[N][21], l[N], r[N];
struct segment_tree_max{
    ll n;
    vector<ll>st;
    void init(ll _n){
        n = _n;
        st.clear(); st.resize(4 * n + 10, -inf);
    }
    void update(ll id, ll l, ll r, ll left, ll right, ll val){
        if(l > right || r < left) return;
        if(left <= l && r <= right){
            st[id] = max(st[id], val);
            return;
        }
        ll mid = (l + r) / 2;
        update(2 * id, l, mid, left, right, val);
        update(2 * id + 1, mid + 1, r, left, right, val);
        st[id] = max(st[2 * id], st[2 * id + 1]);
    }
    ll get(ll id, ll l, ll r, ll left, ll right){
        if(l > right || r < left) return -inf;
        if(left <= l && r <= right) return st[id];
        ll mid = (l + r) / 2;
        return max(get(2 * id, l, mid, left, right), get(2 * id + 1, mid + 1, r, left, right));
    }
    void update(ll l, ll r, ll val){update(1,1,n,l,r,val);}
    ll get(ll l, ll r){return get(1,1,n,l,r);}
} stmax;
struct segment_tree_min{
    ll n;
    vector<ll>st;
    void init(ll _n){
        n = _n;
        st.clear(); st.resize(4 * n + 10, inf);
    }
    void update(ll id, ll l, ll r, ll left, ll right, ll val){
        if(l > right || r < left) return;
        if(left <= l && r <= right){
            st[id] = min(st[id], val);
            return;
        }
        ll mid = (l + r) / 2;
        update(2 * id, l, mid, left, right, val);
        update(2 * id + 1, mid + 1, r, left, right, val);
        st[id] = min(st[2 * id], st[2 * id + 1]);
    }
    ll get(ll id, ll l, ll r, ll left, ll right){
        if(l > right || r < left) return inf;
        if(left <= l && r <= right) return st[id];
        ll mid = (l + r) / 2;
        return min(get(2 * id, l, mid, left, right), get(2 * id + 1, mid + 1, r, left, right));
    }
    void update(ll l, ll r, ll val){update(1,1,n,l,r,val);}
    ll get(ll l, ll r){return get(1,1,n,l,r);}
} stmin;
vector<ll>g[N];
ll get_L(ll l, ll r){
	ll p = 31 - __builtin_clz(r - l + 1);
	return min(L[l][p], L[r - (1 << p) + 1][p]);
}
ll get_R(ll l, ll r){
	ll p = 31 - __builtin_clz(r - l + 1);
	return max(R[l][p], R[r - (1 << p) + 1][p]);
}
void build(){
	for(int i = 1; i <= n;i++){
		if(i >= 2) L[i][0] = (pos[c[i - 1]] == 0 ? -inf : pos[c[i-1]]);
		else L[i][0] = -inf;
		for(auto x : g[i]) pos[x] = i;
	}
	for(int i = 1; i <= n - 1;i++) pos[c[i]] = 0;
	for(int i = n; i >= 1;i--){
		if(i <= n - 1) R[i][0] = (pos[c[i]] == 0 ? inf : pos[c[i]]);
		else R[i][0] = inf;
		for(auto x : g[i]) pos[x] = i;
	}
	for(int j = 1; j <= 20;j++){
		for(int i = 1; i + (1 << j) <= n + 1;i++){
			L[i][j] = min(L[i][j-1], L[i + (1 << (j - 1))][j-1]);
			R[i][j] = max(R[i][j-1], R[i + (1 << (j - 1))][j-1]);
		}
	}
	stmin.init(n); stmax.init(n);
	for(int i = 1; i <= n;i++){
		ll x = i, y = i;
		while(1){
			pll lst = {x, y};
			if(x > 1){
				ll l = 1, r = x - 1, pos = -1;
				while(l <= r){
					ll mid = (l + r) / 2;
					if(get_R(mid, x - 1) <= y) pos = mid, r = mid - 1;
					else l = mid + 1;
				}
				if(pos != -1){
					ll mn = stmin.get(pos, x - 1), mx = stmax.get(pos, x - 1); 
					x = min({x, mn, pos}); y = max(y, mx);
				}
			}
			if(y < n){
				ll l = y + 1, r = n, pos = -1;
				while(l <= r){
					ll mid = (l + r) / 2;
					if(get_L(y + 1, mid) >= x) pos = mid, l = mid + 1;
					else r = mid - 1;
				}
				if(pos != -1){
					ll mn = stmin.get(y + 1, pos), mx = stmax.get(y + 1, pos); 
					x = min(x, mn); y = max({y, mx, pos});
				}	
			}
			if(lst.F == x && lst.S == y) break;	
		}
		l[i] = x, r[i] = y;
		stmin.update(i, i, l[i]); stmax.update(i, i, r[i]);
	}
}
void to_thic_cau(){
	cin >> n;
	for(int i = 1; i <= n - 1;i++) cin >> c[i];
	for(int i = 1; i <= n;i++){
		ll sz; cin >> sz;
		while(sz--){
			ll x; cin >> x;
			g[i].pb(x);
		}
	}
	build();
	cin >> q;
	while(q--){
		ll x,y; cin >> x >> y;
		if(l[x] <= y && y <= r[x]) cout << "YES" << '\n';
		else cout << "NO" << "\n";
	}
}
 
signed main()   
{  
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	ll tc = 1;
	//cin >> tc;
	while(tc--) to_thic_cau();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12636 KB Output is correct
2 Correct 9 ms 12892 KB Output is correct
3 Correct 10 ms 13516 KB Output is correct
4 Correct 7 ms 12636 KB Output is correct
5 Correct 7 ms 12636 KB Output is correct
6 Correct 7 ms 12792 KB Output is correct
7 Correct 7 ms 12636 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12636 KB Output is correct
2 Correct 9 ms 12892 KB Output is correct
3 Correct 10 ms 13516 KB Output is correct
4 Correct 7 ms 12636 KB Output is correct
5 Correct 7 ms 12636 KB Output is correct
6 Correct 7 ms 12792 KB Output is correct
7 Correct 7 ms 12636 KB Output is correct
8 Correct 69 ms 18516 KB Output is correct
9 Correct 76 ms 18336 KB Output is correct
10 Correct 73 ms 19024 KB Output is correct
11 Correct 88 ms 19672 KB Output is correct
12 Correct 69 ms 18000 KB Output is correct
13 Correct 68 ms 18772 KB Output is correct
14 Correct 74 ms 18768 KB Output is correct
15 Correct 69 ms 18760 KB Output is correct
16 Correct 73 ms 18772 KB Output is correct
17 Correct 70 ms 18760 KB Output is correct
18 Correct 69 ms 18772 KB Output is correct
19 Correct 96 ms 18772 KB Output is correct
20 Correct 69 ms 18772 KB Output is correct
21 Correct 66 ms 18512 KB Output is correct
22 Correct 64 ms 18512 KB Output is correct
23 Correct 86 ms 18496 KB Output is correct
24 Correct 69 ms 18536 KB Output is correct
25 Correct 71 ms 18516 KB Output is correct
26 Correct 71 ms 18516 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 188 ms 45452 KB Output is correct
2 Correct 193 ms 45136 KB Output is correct
3 Correct 186 ms 45136 KB Output is correct
4 Correct 184 ms 45308 KB Output is correct
5 Correct 220 ms 45300 KB Output is correct
6 Correct 170 ms 44212 KB Output is correct
7 Correct 148 ms 44116 KB Output is correct
8 Correct 154 ms 44064 KB Output is correct
9 Correct 199 ms 44116 KB Output is correct
10 Correct 165 ms 43940 KB Output is correct
11 Correct 154 ms 43900 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12636 KB Output is correct
2 Correct 9 ms 12892 KB Output is correct
3 Correct 10 ms 13516 KB Output is correct
4 Correct 7 ms 12636 KB Output is correct
5 Correct 7 ms 12636 KB Output is correct
6 Correct 7 ms 12792 KB Output is correct
7 Correct 7 ms 12636 KB Output is correct
8 Correct 69 ms 18516 KB Output is correct
9 Correct 76 ms 18336 KB Output is correct
10 Correct 73 ms 19024 KB Output is correct
11 Correct 88 ms 19672 KB Output is correct
12 Correct 69 ms 18000 KB Output is correct
13 Correct 68 ms 18772 KB Output is correct
14 Correct 74 ms 18768 KB Output is correct
15 Correct 69 ms 18760 KB Output is correct
16 Correct 73 ms 18772 KB Output is correct
17 Correct 70 ms 18760 KB Output is correct
18 Correct 69 ms 18772 KB Output is correct
19 Correct 96 ms 18772 KB Output is correct
20 Correct 69 ms 18772 KB Output is correct
21 Correct 66 ms 18512 KB Output is correct
22 Correct 64 ms 18512 KB Output is correct
23 Correct 86 ms 18496 KB Output is correct
24 Correct 69 ms 18536 KB Output is correct
25 Correct 71 ms 18516 KB Output is correct
26 Correct 71 ms 18516 KB Output is correct
27 Correct 188 ms 45452 KB Output is correct
28 Correct 193 ms 45136 KB Output is correct
29 Correct 186 ms 45136 KB Output is correct
30 Correct 184 ms 45308 KB Output is correct
31 Correct 220 ms 45300 KB Output is correct
32 Correct 170 ms 44212 KB Output is correct
33 Correct 148 ms 44116 KB Output is correct
34 Correct 154 ms 44064 KB Output is correct
35 Correct 199 ms 44116 KB Output is correct
36 Correct 165 ms 43940 KB Output is correct
37 Correct 154 ms 43900 KB Output is correct
38 Correct 432 ms 120076 KB Output is correct
39 Correct 485 ms 143840 KB Output is correct
40 Correct 324 ms 95516 KB Output is correct
41 Correct 603 ms 142392 KB Output is correct
42 Correct 172 ms 45140 KB Output is correct
43 Correct 186 ms 45144 KB Output is correct
44 Correct 327 ms 71780 KB Output is correct
45 Correct 321 ms 71840 KB Output is correct
46 Correct 293 ms 72272 KB Output is correct
47 Correct 172 ms 45136 KB Output is correct
48 Correct 166 ms 44880 KB Output is correct
49 Correct 315 ms 71504 KB Output is correct
50 Correct 294 ms 71764 KB Output is correct
51 Correct 305 ms 72272 KB Output is correct
52 Correct 263 ms 70608 KB Output is correct
53 Correct 383 ms 96256 KB Output is correct
54 Correct 584 ms 121940 KB Output is correct
55 Correct 381 ms 96588 KB Output is correct