#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
const int maxn = 6e5 + 10, inf = 1e9;
struct store
{
int x, t, a, b;
}s[maxn];
struct query
{
int l, y, idx;
}task[maxn];
int n, k, q;
void input()
{
cin >> n >> k >> q;
for (int i = 1; i <= n; i ++)
cin >> s[i].x >> s[i].t >> s[i].a >> s[i].b;
for (int i = 1; i <= q; i ++)
cin >> task[i].l >> task[i].y, task[i].idx = i;
}
unordered_map < int, int > rev;
int dif, back_to[2 * maxn];
int get_mid(int left, int right)
{
if (left == right)
return rev[left];
int lf = rev[left], rf = rev[right];
while(lf <= rf)
{
int mf = (lf + rf) / 2;
if (abs(left - back_to[mf]) <= abs(right - back_to[mf]))
lf = mf + 1;
else
rf = mf - 1;
}
return rf;
}
void compress_data()
{
vector < int > cor;
for (int i = 1; i <= n; i ++)
cor.push_back(s[i].x);
for (int i = 1; i <= q; i ++)
cor.push_back(task[i].l);
sort(cor.begin(), cor.end());
int sz = cor.size();
for (int i = 0; i < cor.size(); i ++)
{
if (i != 0 || cor[i - 1] != cor[i])
{
dif ++;
rev[cor[i]] = dif;
back_to[dif] = cor[i];
}
}
}
bool cmp_query(query t1, query t2)
{
return t1.l < t2.l;
}
struct event
{
int type, cor, add, arrive;
event(int _type, int _cor, int _add, int _arrive)
{
type = _type;
cor = _cor;
add = _add;
arrive = _arrive;
}
};
bool cmp_event(event e1, event e2)
{
if (e1.arrive != e2.arrive)
return e1.arrive < e2.arrive;
if (e1.add != e2.add)
return e1.add < e2.add;
return e1.cor < e2.cor; /// could have dublicates
}
multiset < int > act[maxn];
struct interval_ray
{
int s, e;
pair < int, int > ray;
interval_ray(int _s, int _e, pair < int, int > _ray)
{
s = _s;
e = _e;
ray = _ray;
}
};
vector < interval_ray > seg_left, seg_right;
map < pair < int, int >, int > ray_right[maxn], ray_left[maxn];
vector < int > dat;
void make_left_segment(int start, int finish, int timer, int type)
{
dat.push_back(ray_left[type][{start, finish}]);
dat.push_back(timer - 1);
///cout << "left " << start << " " << finish << " " << timer << endl;
seg_left.push_back(interval_ray(ray_left[type][{start, finish}], timer - 1, {start, finish}));
ray_left[type][{start, finish}] = 0;
}
void make_right_segment(int start, int finish, int timer, int type)
{
dat.push_back(ray_right[type][{start, finish}]);
dat.push_back(timer - 1);
seg_right.push_back(interval_ray(ray_right[type][{start, finish}], timer - 1, {start, finish}));
ray_right[type][{start, finish}] = 0;
}
void add_event(int type, int cor, int timer)
{
multiset < int > :: iterator it = act[type].upper_bound(cor);
int aft = *it;
int bef = *prev(it);
if (bef == -inf && aft == inf)
{
make_right_segment(-inf, inf, timer, type);
ray_left[type][{cor, -inf}] = timer;
ray_right[type][{cor, +inf}] = timer;
}
else
if (bef == - inf)
{
make_left_segment(aft, -inf, timer, type);
int mid = (cor + aft) / 2;
ray_right[type][{cor, mid}] = timer;
ray_left[type][{aft, mid + 1}] = timer;
ray_left[type][{cor, -inf}] = timer;
}
else
if (aft == inf)
{
make_right_segment(bef, inf, timer, type);
int mid = (bef + cor) / 2;
ray_left[type][{cor, mid + 1}] = timer;
ray_right[type][{bef, mid}] = timer;
ray_right[type][{cor, inf}] = timer;
}
else
{
int mid = (bef + aft) / 2;
make_right_segment(bef, mid, timer, type);
make_left_segment(aft, mid + 1, timer, type);
int mid_left = (bef + cor) / 2;
ray_right[type][{bef, mid_left}] = timer;
ray_left[type][{cor, mid_left + 1}] = timer;
int mid_right = (cor + aft) / 2;
ray_right[type][{cor, mid_right}] = timer;
ray_left[type][{aft, mid_right + 1}] = timer;
}
act[type].insert(cor);
}
void remove_event(int type, int cor, int timer)
{
multiset < int > :: iterator it = act[type].find(cor);
int aft = *next(it);
int bef = *prev(it);
if (bef == -inf && aft == inf)
{
///cout << "reverse " << timer << endl;
make_left_segment(cor, -inf, timer, type);
make_right_segment(cor, +inf, timer, type);
ray_right[type][{-inf, inf}] = timer;
}
else
if (bef == -inf)
{
///cout << "step " << timer << endl;
make_left_segment(cor, -inf, timer, type);
int mid = (cor + aft) / 2;
make_right_segment(cor, mid, timer, type);
make_left_segment(aft, mid + 1, timer, type);
ray_left[type][{aft, -inf}] = timer;
}
else
if (aft == inf)
{
make_right_segment(cor, inf, timer, type);
int mid = (bef + cor) / 2;
make_left_segment(cor, mid + 1, timer, type);
make_right_segment(bef, mid, timer, type);
ray_right[type][{bef, inf}] = timer;
}
else
{
int mid = (bef + aft) / 2;
///assert((ray_right[type][{bef, mid}]) == 0);
///assert((ray_left[type][{aft, mid + 1}]) == 0);
int mid_left = (bef + cor) / 2;
make_right_segment(bef, mid_left, timer, type);
make_left_segment(cor, mid_left + 1, timer, type);
int mid_right = (aft + cor) / 2;
make_right_segment(cor, mid_right, timer, type);
make_left_segment(aft, mid_right + 1, timer, type);
ray_right[type][{bef, mid}] = timer;
ray_left[type][{aft, mid + 1}] = timer;
}
act[type].erase(it);
}
int ans[maxn];
vector < interval_ray > tree_left[maxn * 4], tree_right[maxn * 4];
int pt_lf[4 * maxn], bs_lf[4 * maxn];
int pt_rf[4 * maxn], bs_rf[4 * maxn];
bool cmp_ray_second(interval_ray r1, interval_ray r2)
{
return r1.ray.second < r2.ray.second;
}
void update_range(int root, int left, int right, int qleft, int qright, interval_ray ray, int type)
{
if (left > qright || right < qleft)
return;
if (left >= qleft && right <= qright)
{
if (type == -1)
tree_left[root].push_back(ray);
else
tree_right[root].push_back(ray);
return;
}
int mid = (left + right) / 2;
update_range(root * 2, left, mid, qleft, qright, ray, type);
update_range(root * 2 + 1, mid + 1, right, qleft, qright, ray, type);
}
unordered_map < int, int > event_times;
void answer_queries()
{
sort(task + 1, task + q + 1, cmp_query);
vector < event > events;
for (int i = 1; i <= n; i ++)
{
events.push_back(event(s[i].t, s[i].x, 1, s[i].a));
events.push_back(event(s[i].t, s[i].x, -1, s[i].b + 1));
}
sort(events.begin(), events.end(), cmp_event);
for (int i = 1; i <= k; i ++)
{
act[i].insert(-inf);
act[i].insert(inf);
dat.push_back(1);
ray_right[i][{-inf, inf}] = 1;
}
int cnt = 0;
for (event cur : events)
{
///cout << "event " << cur.arrive << " " << cur.add << " " << cur.cor << " " << cur.type << endl;
if (cur.add == 1)
add_event(cur.type, cur.cor, cur.arrive);
else
remove_event(cur.type, cur.cor, cur.arrive);
}
for (int i = 1; i <= q; i ++)
dat.push_back(task[i].y);
sort(dat.begin(), dat.end());
cnt ++;
event_times[dat[0]] = cnt;
for (int i = 1; i < dat.size(); i ++)
{
if (dat[i] == dat[i - 1])
continue;
cnt ++;
event_times[dat[i]] = cnt;
}
map < pair < int, int >, int > :: iterator it;
for (int i = 1; i <= k; i ++)
for (it = ray_right[i].begin(); it != ray_right[i].end(); it ++)
{
///cout << it -> first.first << " :: " << it -> first.second << " " << it -> second << endl;
if (it -> second != 0)
make_right_segment(it -> first.first, it -> first.second, inf, i);
}
for (int i = 1; i <= k; i ++)
for (it = ray_left[i].begin(); it != ray_left[i].end(); it ++)
{
if (it -> second != 0)
{
///cout << "here " << endl;
make_left_segment(it -> first.first, it -> first.second, inf, i);
}
}
for (interval_ray cur : seg_left)
{
update_range(1, 1, cnt, event_times[cur.s], event_times[cur.e], cur, -1);
/// cout << "left ray " << cur.s << " " << cur.e << " " << cur.ray.first << " " << cur.ray.second << endl;
}
for (interval_ray cur : seg_right)
{
update_range(1, 1, cnt, event_times[cur.s], event_times[cur.e], cur, 1);
///cout << "right ray " << cur.s << " " << cur.e << " " << cur.ray.first << " " << cur.ray.second << endl;
}
for (int i = 1; i <= 4 * cnt; i ++)
{
pt_rf[i] = (int)(tree_right[i].size()) - 1;
bs_rf[i] = inf;
pt_lf[i] = 0;
bs_lf[i] = -inf;
sort(tree_right[i].begin(), tree_right[i].end(), cmp_ray_second);
sort(tree_left[i].begin(), tree_left[i].end(), cmp_ray_second);
}
for (int i = q; i > 0; i --)
{
int longest = 0;
int pos = event_times[task[i].y];
int root = 1, left = 1, right = cnt;
while(true)
{
while(pt_rf[root] >= 0 && task[i].l <= tree_right[root][pt_rf[root]].ray.second)
{
bs_rf[root] = min(bs_rf[root], tree_right[root][pt_rf[root]].ray.first);
pt_rf[root] --;
}
longest = max(longest, task[i].l - bs_rf[root]);
if (left == right)
break;
int mid = (left + right) / 2;
if (pos <= mid)
{
root *= 2;
right = mid;
}
else
{
root = root * 2 + 1;
left = mid + 1;
}
}
ans[task[i].idx] = max(ans[task[i].idx], longest);
}
for (int i = 1; i <= q; i ++)
{
int longest = 0;
int pos = event_times[task[i].y];
int root = 1, left = 1, right = cnt;
while(true)
{
///cout << "step " << root << " " << left << " " << right << endl;
while(pt_lf[root] < tree_left[root].size() && tree_left[root][pt_lf[root]].ray.second <= task[i].l)
{
bs_lf[root] = max(bs_lf[root], tree_left[root][pt_lf[root]].ray.first);
pt_lf[root] ++;
}
longest = max(longest, bs_lf[root] - task[i].l);
/**for (interval_ray cur : tree_left[root])
{
if (task[i].l >= cur.ray.second)
longest = max(longest, cur.ray.first - task[i].l);
}*/
if (left == right)
break;
int mid = (left + right) / 2;
if (pos <= mid)
{
root *= 2;
right = mid;
}
else
{
root = root * 2 + 1;
left = mid + 1;
}
}
ans[task[i].idx] = max(ans[task[i].idx], longest);
}
for (int i = 1; i <= q; i ++)
{
if (ans[i] > 2e8)
cout << -1 << endl;
else
cout << ans[i] << endl;
}
}
void solve()
{
input();
compress_data();
answer_queries();
}
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
int main()
{
speed();
solve();
return 0;
}
/**
2 1 2
3 1 1 3
5 1 3 4
3 3
3 4
4 2 4
3 1 1 10
9 2 2 4
7 2 5 7
4 1 8 10
5 3
5 6
5 9
1 10
2 1 3
1 1 1 4
1 1 2 6
1 3
1 5
1 7
1 1 1
100000000 1 1 1
1 1
*/
Compilation message
new_home.cpp: In function 'void compress_data()':
new_home.cpp:62:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
62 | for (int i = 0; i < cor.size(); i ++)
| ~~^~~~~~~~~~~~
new_home.cpp:60:9: warning: unused variable 'sz' [-Wunused-variable]
60 | int sz = cor.size();
| ^~
new_home.cpp: In function 'void answer_queries()':
new_home.cpp:321:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
321 | for (int i = 1; i < dat.size(); i ++)
| ~~^~~~~~~~~~~~
new_home.cpp:417:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<interval_ray>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
417 | while(pt_lf[root] < tree_left[root].size() && tree_left[root][pt_lf[root]].ray.second <= task[i].l)
| ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
42 ms |
211792 KB |
Output is correct |
| 2 |
Correct |
41 ms |
211804 KB |
Output is correct |
| 3 |
Incorrect |
40 ms |
211664 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
42 ms |
211792 KB |
Output is correct |
| 2 |
Correct |
41 ms |
211804 KB |
Output is correct |
| 3 |
Incorrect |
40 ms |
211664 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4073 ms |
964544 KB |
Output is correct |
| 2 |
Correct |
3247 ms |
940172 KB |
Output is correct |
| 3 |
Correct |
2073 ms |
698296 KB |
Output is correct |
| 4 |
Correct |
3860 ms |
894748 KB |
Output is correct |
| 5 |
Correct |
3011 ms |
926096 KB |
Output is correct |
| 6 |
Correct |
3248 ms |
928420 KB |
Output is correct |
| 7 |
Correct |
2069 ms |
715500 KB |
Output is correct |
| 8 |
Correct |
3802 ms |
921596 KB |
Output is correct |
| 9 |
Correct |
4241 ms |
955568 KB |
Output is correct |
| 10 |
Correct |
4075 ms |
879356 KB |
Output is correct |
| 11 |
Correct |
3321 ms |
886872 KB |
Output is correct |
| 12 |
Correct |
3867 ms |
918212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
5073 ms |
964812 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
42 ms |
211792 KB |
Output is correct |
| 2 |
Correct |
41 ms |
211804 KB |
Output is correct |
| 3 |
Incorrect |
40 ms |
211664 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
42 ms |
211792 KB |
Output is correct |
| 2 |
Correct |
41 ms |
211804 KB |
Output is correct |
| 3 |
Incorrect |
40 ms |
211664 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
