#include <bits/stdc++.h>
using namespace std;
int c[500007];
vector<int> keys[500007];
struct sgt_max {
vector<int> tree;
int n;
void init(int n) {
this->n = n;
tree.resize(n * 4);
}
void update(int v, int l, int r, int pos, int val) {
if(r < pos || l > pos) return;
if (l == r) {
tree[v] = val;
return;
}
int mid = (l + r) / 2;
update(v * 2, l, mid, pos, val);
update(v * 2 + 1, mid + 1, r, pos, val);
tree[v] = max(tree[v * 2], tree[v * 2 + 1]);
}
int get(int v, int l, int r, int L, int R) {
if (r < L || l > R) return 0;
if (l >= L && r <= R) return tree[v];
int mid = (l + r) / 2;
return max(get(v * 2, l, mid, L, R), get(v * 2 + 1, mid + 1, r, L, R));
}
int prev_larger(int v,int l,int r,int k,int val) {
int m = (l + r) / 2;
if(tree[v] <= val or k < l) return -1;
if(l == r) {
if(tree[v] > val) return l;
return -1;
}
if(k <= m) {
return prev_larger(v * 2, l, m, k, val);
}
int right_part = prev_larger(v * 2 + 1, m + 1, r, k, val);
if(right_part != -1) {
return right_part;
}
return prev_larger(v * 2, l, m, m, val);
}
};
struct sgt_min {
vector<int> tree;
int n{};
void init(int n) {
this->n = n;
tree.resize(n * 4);
}
void update(int v, int l, int r, int pos, int val) {
if(r < pos || l > pos) return;
if (l == r) {
tree[v] = val;
return;
}
int mid = (l + r) / 2;
update(v * 2, l, mid, pos, val);
update(v * 2 + 1, mid + 1, r, pos, val);
tree[v] = min(tree[v * 2], tree[v * 2 + 1]);
}
int get(int v, int l, int r, int L, int R) {
if (r < L || l > R) return 1e9;
if (l >= L && r <= R) return tree[v];
int mid = (l + r) / 2;
return min(get(v * 2, l, mid, L, R), get(v * 2 + 1, mid + 1, r, L, R));
}
int next_smaller(int v,int l,int r,int k,int val) {
int m = (l + r) / 2;
if(tree[v] >= val or r < k) return -1;
if(l == r) {
if(tree[v] < val) return l;
return -1;
}
if(k > m) {
return next_smaller(v * 2 + 1, m + 1, r, k, val);
}
int left_part = next_smaller(v * 2, l, m, k, val);
if(left_part != -1) {
return left_part;
}
return next_smaller(v * 2 + 1, m + 1, r, m+1, val);
}
};
pair<int,int> reachable[500007];
int next_r[500007];
int prev_r[500007];
int main() {
int n;
cin >> n;
for(int i = 0; i < n-1;i++) {
cin >> c[i];
}
for(int i = 0;i < n;i++) {
int k;
cin >> k;
for (int j = 0;j < k;j++) {
int x;
cin >> x;
keys[i].push_back(x);
}
reachable[i] = {i,i};
}
sgt_max sgt_max;
sgt_max.init(n);
sgt_min sgt_min;
sgt_min.init(n);
map<int,int> mp;
for(int i = 0;i < n-1;i++) {
for(auto e:keys[i]) {
mp[e] = i;
}
if(mp.find(c[i]) != mp.end()) {
sgt_min.update(1,0,n-1,i,mp[c[i]]);
prev_r[i] = mp[c[i]];
}
else {
sgt_min.update(1,0,n-1,i,-1);
prev_r[i] = -1;
}
}
mp.clear();
for(int i = n-2;i >= 0;i--) {
for(auto e:keys[i+1]) {
mp[e] = i+1;
}
if(mp.find(c[i]) != mp.end()) {
sgt_max.update(1,0,n-1,i+1,mp[c[i]]);
next_r[i] = mp[c[i]];
}
else {
sgt_max.update(1,0,n-1,i+1,n);
next_r[i] = n;
}
}
for(int i = 0;i < n;i++) {
int R = sgt_min.next_smaller(1,0,n-1,i,reachable[i].second);
if(R != -1) {
reachable[i].second = R;
}
else {
reachable[i].second = n-1;
}
if(i and next_r[i-1] <= R) {
int L = reachable[i-1].first;
R = max(R,reachable[i-1].second);
int tmpL = L;
int tmpR = R;
do {
L = tmpL;
R = tmpR;
tmpL = sgt_max.prev_larger(1,0,n-1,L,R);
if(tmpL == -1) tmpL = 0;
tmpR = sgt_min.next_smaller(1,0,n-1,R,tmpL);
if(tmpR == -1) tmpR = n-1;
}while (tmpL != L or tmpR != R);
reachable[i].first = L;
reachable[i].second = R;
}
}
for(int i = 0;i < n;i++) {
//cerr << reachable[i].first << " " << reachable[i].second << "\n";
}
/*for(int i = 0;i < n;i++) {
int L = i;
int R = i;
int tmpL = L;
int tmpR = R;
do{
L = tmpL;
R = tmpR;
tmpL = sgt_max.prev_larger(1,0,n-1,L,R);
if(tmpL == -1)
tmpL = 0;
tmpR = sgt_min.next_smaller(1,0,n-1,R,tmpL);
if(tmpR == -1)
tmpR = n-1;
}while (tmpL != L or tmpR != R);
reachable[i].first = L;
reachable[i].second = R;
cerr << L << " " << R << "\n";
}*/
int q;
cin >> q;
for(int i = 0;i < q;i++) {
int l,r;
cin >> l >> r;
l--;
r--;
if(reachable[l].first <= r and reachable[l].second >= r) {
cout << "YES\n";
}
else {
cout << "NO\n";
}
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
19032 KB |
Output is correct |
2 |
Correct |
15 ms |
18880 KB |
Output is correct |
3 |
Correct |
15 ms |
19036 KB |
Output is correct |
4 |
Correct |
15 ms |
19036 KB |
Output is correct |
5 |
Correct |
14 ms |
18872 KB |
Output is correct |
6 |
Correct |
15 ms |
18876 KB |
Output is correct |
7 |
Correct |
14 ms |
19036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
19032 KB |
Output is correct |
2 |
Correct |
15 ms |
18880 KB |
Output is correct |
3 |
Correct |
15 ms |
19036 KB |
Output is correct |
4 |
Correct |
15 ms |
19036 KB |
Output is correct |
5 |
Correct |
14 ms |
18872 KB |
Output is correct |
6 |
Correct |
15 ms |
18876 KB |
Output is correct |
7 |
Correct |
14 ms |
19036 KB |
Output is correct |
8 |
Correct |
728 ms |
20780 KB |
Output is correct |
9 |
Correct |
723 ms |
20536 KB |
Output is correct |
10 |
Correct |
752 ms |
20960 KB |
Output is correct |
11 |
Correct |
738 ms |
21012 KB |
Output is correct |
12 |
Correct |
705 ms |
20560 KB |
Output is correct |
13 |
Correct |
731 ms |
20836 KB |
Output is correct |
14 |
Correct |
721 ms |
20820 KB |
Output is correct |
15 |
Correct |
741 ms |
20940 KB |
Output is correct |
16 |
Correct |
717 ms |
21020 KB |
Output is correct |
17 |
Correct |
739 ms |
25176 KB |
Output is correct |
18 |
Correct |
736 ms |
25172 KB |
Output is correct |
19 |
Correct |
737 ms |
25152 KB |
Output is correct |
20 |
Correct |
730 ms |
25300 KB |
Output is correct |
21 |
Correct |
736 ms |
24708 KB |
Output is correct |
22 |
Correct |
732 ms |
25324 KB |
Output is correct |
23 |
Correct |
749 ms |
25100 KB |
Output is correct |
24 |
Correct |
720 ms |
24912 KB |
Output is correct |
25 |
Correct |
728 ms |
24976 KB |
Output is correct |
26 |
Correct |
727 ms |
24756 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
943 ms |
29780 KB |
Output is correct |
2 |
Correct |
896 ms |
29580 KB |
Output is correct |
3 |
Correct |
908 ms |
29716 KB |
Output is correct |
4 |
Correct |
960 ms |
29488 KB |
Output is correct |
5 |
Correct |
923 ms |
29512 KB |
Output is correct |
6 |
Correct |
865 ms |
29136 KB |
Output is correct |
7 |
Correct |
884 ms |
29252 KB |
Output is correct |
8 |
Correct |
854 ms |
35408 KB |
Output is correct |
9 |
Correct |
856 ms |
35696 KB |
Output is correct |
10 |
Correct |
844 ms |
35696 KB |
Output is correct |
11 |
Correct |
853 ms |
35668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
19032 KB |
Output is correct |
2 |
Correct |
15 ms |
18880 KB |
Output is correct |
3 |
Correct |
15 ms |
19036 KB |
Output is correct |
4 |
Correct |
15 ms |
19036 KB |
Output is correct |
5 |
Correct |
14 ms |
18872 KB |
Output is correct |
6 |
Correct |
15 ms |
18876 KB |
Output is correct |
7 |
Correct |
14 ms |
19036 KB |
Output is correct |
8 |
Correct |
728 ms |
20780 KB |
Output is correct |
9 |
Correct |
723 ms |
20536 KB |
Output is correct |
10 |
Correct |
752 ms |
20960 KB |
Output is correct |
11 |
Correct |
738 ms |
21012 KB |
Output is correct |
12 |
Correct |
705 ms |
20560 KB |
Output is correct |
13 |
Correct |
731 ms |
20836 KB |
Output is correct |
14 |
Correct |
721 ms |
20820 KB |
Output is correct |
15 |
Correct |
741 ms |
20940 KB |
Output is correct |
16 |
Correct |
717 ms |
21020 KB |
Output is correct |
17 |
Correct |
739 ms |
25176 KB |
Output is correct |
18 |
Correct |
736 ms |
25172 KB |
Output is correct |
19 |
Correct |
737 ms |
25152 KB |
Output is correct |
20 |
Correct |
730 ms |
25300 KB |
Output is correct |
21 |
Correct |
736 ms |
24708 KB |
Output is correct |
22 |
Correct |
732 ms |
25324 KB |
Output is correct |
23 |
Correct |
749 ms |
25100 KB |
Output is correct |
24 |
Correct |
720 ms |
24912 KB |
Output is correct |
25 |
Correct |
728 ms |
24976 KB |
Output is correct |
26 |
Correct |
727 ms |
24756 KB |
Output is correct |
27 |
Correct |
943 ms |
29780 KB |
Output is correct |
28 |
Correct |
896 ms |
29580 KB |
Output is correct |
29 |
Correct |
908 ms |
29716 KB |
Output is correct |
30 |
Correct |
960 ms |
29488 KB |
Output is correct |
31 |
Correct |
923 ms |
29512 KB |
Output is correct |
32 |
Correct |
865 ms |
29136 KB |
Output is correct |
33 |
Correct |
884 ms |
29252 KB |
Output is correct |
34 |
Correct |
854 ms |
35408 KB |
Output is correct |
35 |
Correct |
856 ms |
35696 KB |
Output is correct |
36 |
Correct |
844 ms |
35696 KB |
Output is correct |
37 |
Correct |
853 ms |
35668 KB |
Output is correct |
38 |
Correct |
1408 ms |
60252 KB |
Output is correct |
39 |
Correct |
1385 ms |
66464 KB |
Output is correct |
40 |
Correct |
1256 ms |
52232 KB |
Output is correct |
41 |
Correct |
1156 ms |
64616 KB |
Output is correct |
42 |
Correct |
968 ms |
38504 KB |
Output is correct |
43 |
Correct |
997 ms |
38012 KB |
Output is correct |
44 |
Correct |
1245 ms |
49360 KB |
Output is correct |
45 |
Correct |
1250 ms |
50428 KB |
Output is correct |
46 |
Correct |
1264 ms |
50772 KB |
Output is correct |
47 |
Correct |
972 ms |
38764 KB |
Output is correct |
48 |
Correct |
942 ms |
36856 KB |
Output is correct |
49 |
Correct |
1203 ms |
47612 KB |
Output is correct |
50 |
Correct |
1260 ms |
49256 KB |
Output is correct |
51 |
Correct |
1285 ms |
51632 KB |
Output is correct |
52 |
Correct |
1130 ms |
53096 KB |
Output is correct |
53 |
Correct |
1318 ms |
64544 KB |
Output is correct |
54 |
Correct |
2494 ms |
78456 KB |
Output is correct |
55 |
Correct |
1254 ms |
65880 KB |
Output is correct |