#include <bits/stdc++.h>
using namespace std;
#ifdef tabr
#include "library/debug.cpp"
#else
#define debug(...)
#endif
const int MAX_N = 150015;
const int MAX_B = 810;
int B;
int n;
int l;
int upd_cnt;
int x[MAX_N];
pair<int, int> pos[MAX_N];
int jump_cnt[MAX_N];
int jump_pos[MAX_N];
vector<int> e[MAX_B];
void init(int n_, int l_, int x_[]) {
n = n_;
l = l_;
B = (int) sqrt(n_);
for (int i = 0; i < n; i++) {
x[i] = x_[i];
}
}
void build_one(int id) {
assert(!e[id].empty());
sort(e[id].begin(), e[id].end(), [&](int i, int j) {
return make_pair(x[i], i) < make_pair(x[j], j);
});
for (int i = 0; i < (int) e[id].size(); i++) {
pos[e[id][i]] = make_pair(id, i);
}
for (int i = (int) e[id].size() - 1, j = (int) e[id].size(); i >= 0; i--) {
while (j > 0 && x[e[id][j - 1]] > x[e[id][i]] + l) {
j--;
}
if (j == (int) e[id].size()) {
jump_cnt[e[id][i]] = 1;
jump_pos[e[id][i]] = x[e[id][i]] + l + 1;
} else {
jump_cnt[e[id][i]] = jump_cnt[e[id][j]] + 1;
jump_pos[e[id][i]] = jump_pos[e[id][j]];
}
}
}
void build() {
vector<int> order(n);
iota(order.begin(), order.end(), 0);
sort(order.begin(), order.end(), [&](int i, int j) {
return make_pair(x[i], i) < make_pair(x[j], j);
});
for (int i = 0; i < B; i++) {
e[i].clear();
for (int j = n * i / B; j < n * (i + 1) / B; j++) {
e[i].emplace_back(order[j]);
}
build_one(i);
}
}
int update(int i, int y) {
if (n == 1) {
return 1;
}
if (upd_cnt == 0) {
build();
}
upd_cnt++;
if (upd_cnt == n / B - 1) {
upd_cnt = 0;
}
// remove x[i]
e[pos[i].first].erase(e[pos[i].first].begin() + pos[i].second);
build_one(pos[i].first);
// add x[i]
x[i] = y;
for (int id = 0; id < B; id++) {
if (id == B - 1 || e[id + 1][0] > y) {
e[id].emplace_back(i);
build_one(id);
break;
}
}
// answer
int ans = 0;
int now = 0;
for (int id = 0; id < B; id++) {
assert(id == 0 || x[e[id - 1].back()] <= x[e[id][0]]);
// assert(is_sorted(e[id].begin(), e[id].end(), [&](int j, int k) {
// return x[j] < x[k];
// }));
x[150001] = now;
auto iter = lower_bound(e[id].begin(), e[id].end(), 150001, [&](int j, int k) {
return x[j] < x[k];
});
if (iter == e[id].end()) {
// assert(x[e[id].back()] < now);
continue;
}
// assert(x[e[id][iter - e[id].begin()]] >= now);
ans += jump_cnt[*iter];
now = jump_pos[*iter];
}
return ans;
}
#ifdef tabr
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n_ = 4;
int l_ = 10;
int x_[10];
x_[0] = 10;
x_[1] = 15;
x_[2] = 17;
x_[3] = 20;
init(n_, l_, x_);
debug(update(2, 16)); // 1
debug(update(1, 25)); // 2
debug(update(3, 35)); // 2
debug(update(0, 38)); // 2
debug(update(2, 0)); // 3
return 0;
}
#endif
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Runtime error |
1 ms |
596 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Runtime error |
1 ms |
596 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Runtime error |
1 ms |
596 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Runtime error |
1 ms |
596 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |