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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#851844 | #9776. Best Friend, Worst Enemy | nhuang685 | TL | 0ms | 3628kb | C++23 | 4.2kb | 2025-01-11 07:20:56 | 2025-01-11 07:20:56 |
Judging History
answer
/**
* @author n685
* @date 2025-01-10 15:46:13
*/
#include "bits/stdc++.h"
#ifdef LOCAL
#include "dd/debug.h"
#else
#define dbg(...) 42
#define dbg_proj(...) 420
#define dbg_rproj(...) 420420
void nline() {}
void bar() {}
void start_clock() {}
void end_clock() {}
#endif
namespace rs = std::ranges;
namespace rv = std::views;
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
template <class T> constexpr T INF = T{};
template <std::floating_point T>
constexpr T INF<T> = std::numeric_limits<T>::infinity();
template <> constexpr int INF<int> = 0x3f3f3f3f; // 1061109567
template <>
constexpr long long INF<long long>
= 0x3f3f3f3f3f3f3f3fLL; // 4557430888798830399
int main() {
#ifndef LOCAL
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
#endif
int n;
std::cin >> n;
std::vector<int> x(n), y(n), cv(n), mx_m(n), mi_c(n, INF<int>);
for (int i = 0; i < n; ++i) {
std::cin >> x[i] >> y[i];
}
auto mh = [&](int i, int j) {
return std::abs(x[i] - x[j]) + std::abs(y[i] - y[j]);
};
auto che = [&](int i, int j) {
return std::max(std::abs(x[i] - x[j]), std::abs(y[i] - y[j]));
};
int l = mh(0, 1);
auto len = [&]() { return std::max(1, l / 4); };
int ans = 2;
std::vector<int> inds{0, 1};
int pp = std::max(x[0] + y[0], x[1] + y[1]),
pm = std::max(x[0] - y[0], x[1] - y[1]),
mp = std::max(-x[0] + y[0], -x[1] + y[1]),
mm = std::max(-x[0] - y[0], -x[1] - y[1]);
mx_m[0] = l;
mi_c[0] = che(0, 1);
mx_m[1] = l;
mi_c[1] = mi_c[0];
cv[0] = 1;
cv[1] = 1;
auto build = [&](int i) {
ans = 0;
for (int j = 0; j <= i; ++j) {
mx_m[j] = std::max(
{pp - x[j] - y[j], y[j] + pm - x[j], x[j] + mp - y[j], x[j] + y[j] + mm}
);
cv[j] = 0;
if (j == 0) {
inds = {0};
continue;
}
bool g = true;
for (int k = 0; k < std::ssize(inds); ++k) {
if (x[j] / len() == x[inds[k]] / len()
&& y[j] / len() == y[inds[k]] / len())
{
ans -= cv[inds[k]];
inds.erase(inds.begin() + k);
g = false;
break;
}
}
for (int k : inds) {
if (che(k, j) < mi_c[k]) {
mi_c[k] = che(k, j);
ans -= cv[k];
cv[k] = 0;
}
if (mh(k, j) == mx_m[k] && che(k, j) == mi_c[k]) {
++cv[k];
++ans;
}
}
if (g) {
inds.push_back(j);
for (int k = 0; k < j; ++k) {
mi_c[j] = std::min(mi_c[j], che(k, j));
}
for (int k = 0; k < j; ++k) {
if (mh(k, j) == mx_m[j] && che(k, j) == mi_c[j]) {
++cv[j];
++ans;
}
}
}
}
};
std::cout << "0\n";
std::cout << "2\n";
for (int i = 2; i < n; ++i) {
pp = std::max(pp, x[i] + y[i]);
pm = std::max(pm, x[i] - y[i]);
mp = std::max(mp, -x[i] + y[i]);
mm = std::max(mm, -x[i] - y[i]);
mx_m[i] = std::max(
{pp - x[i] - y[i], y[i] + pm - x[i], x[i] + mp - y[i], x[i] + y[i] + mm}
);
if (mx_m[i] >= 2 * l) {
l = mx_m[i];
build(i);
std::cout << ans << '\n';
continue;
}
bool g = true;
for (int j = 0; j < std::ssize(inds); ++j) {
if (x[i] / len() == x[inds[j]] / len()
&& y[i] / len() == y[inds[j]] / len())
{
ans -= cv[inds[j]];
cv[inds[j]] = 0;
inds.erase(inds.begin() + j);
g = false;
break;
}
}
for (int j = 0; j < i; ++j) {
mi_c[i] = std::min(mi_c[i], che(j, i));
}
for (int j : inds) {
int nm = std::max(
{pp - x[j] - y[j], y[j] + pm - x[j], x[j] + mp - y[j], x[j] + y[j] + mm}
);
int nc = std::min(mi_c[j], che(j, i));
if (nm > mx_m[j] || nc < mi_c[j]) {
ans -= cv[j];
cv[j] = 0;
}
mx_m[j] = nm;
mi_c[j] = nc;
if (mh(j, i) == mx_m[j] && che(j, i) == mi_c[j]) {
++cv[j];
++ans;
}
if (g) {
cv[i] += mh(j, i) == mx_m[i] && che(j, i) == mi_c[i];
}
}
ans += cv[i];
inds.push_back(i);
std::cout << ans << '\n';
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3620kb
input:
2 1 5 1 10
output:
0 2
result:
ok 2 number(s): "0 2"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
4 2 5 5 3 5 7 8 5
output:
0 2 4 4
result:
ok 4 number(s): "0 2 4 4"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
9 3 4 3 6 4 3 4 7 5 5 6 3 6 7 7 4 7 6
output:
0 2 1 0 4 5 6 7 8
result:
ok 9 numbers
Test #4:
score: 0
Accepted
time: 0ms
memory: 3504kb
input:
13 3 5 4 4 4 5 4 6 5 3 5 4 5 5 5 6 5 7 6 4 6 5 6 6 7 5
output:
0 2 4 7 2 2 5 2 2 3 3 4 4
result:
ok 13 numbers
Test #5:
score: -100
Time Limit Exceeded
input:
384010 200000 1000000 200000 1000001 199999 1000000 200001 1000000 200000 999999 200000 1000002 200002 1000000 200000 999998 199998 1000000 199997 1000000 200003 1000000 200000 999997 200000 1000003 199996 1000000 200004 1000000 200000 1000004 200000 999996 199995 1000000 200000 1000005 200000 99999...
output:
0 2 4 7 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...