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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#282481 | #6420. Certain Scientific Railgun | jrjyy | WA | 1ms | 3632kb | C++20 | 4.2kb | 2023-12-12 10:23:10 | 2023-12-12 10:23:10 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
constexpr i64 inf = 1e18;
template <typename T, typename Cmp = std::less<T>>
struct RMQ {
const Cmp cmp{};
int n;
std::vector<std::vector<T>> a;
RMQ() = default;
RMQ(const std::vector<T> &v) {
init(v);
}
RMQ(const std::vector<T> &v, const Cmp &cmp_) : cmp{cmp_} {
init(v);
}
void init(const std::vector<T> &ini) {
n = int(ini.size());
int lg = std::__lg(n);
a.assign(lg + 1, std::vector<T>(n));
a[0] = ini;
for (int i = 0; i < lg; ++i) {
for (int j = 0; j <= n - (2 << i); ++j) {
a[i + 1][j] = std::min(a[i][j], a[i][j + (1 << i)], cmp);
}
}
}
T operator()(int l, int r) const {
int k = std::__lg(r - l);
return std::min(a[k][l], a[k][r - (1 << k)], cmp);
}
};
void solve() {
int n;
std::cin >> n;
std::vector<int> x(n), y(n);
for (int i = 0; i < n; ++i) {
std::cin >> x[i] >> y[i];
}
x.push_back(0);
y.push_back(0);
++n;
std::vector<int> pos, neg{n - 1};
for (int i = 0; i < n; ++i) {
if (x[i] >= 0) {
pos.push_back(i);
} else {
neg.push_back(i);
}
}
i64 ans = inf;
auto work = [&]() {
auto get = [&](const std::vector<int> &id) {
std::vector<int> v;
for (auto i : id) {
v.push_back(std::abs(x[i]));
}
std::sort(v.begin(), v.end());
v.erase(std::unique(v.begin(), v.end()), v.end());
std::vector<int> l(v.size() + 1), r(v.size() + 1);
for (auto i : id) {
int nx = std::lower_bound(v.begin(), v.end(), std::abs(x[i])) - v.begin();
l[nx] = std::min(l[nx], y[i]);
r[nx] = std::max(r[nx], y[i]);
}
for (int i = int(v.size()) - 1; i >= 0; --i) {
l[i] = std::min(l[i], l[i + 1]);
r[i] = std::max(r[i], r[i + 1]);
}
return std::make_tuple(v, l, r);
};
auto [pv, pl, pr] = get(pos);
auto [nv, nl, nr] = get(neg);
std::array<RMQ<i64>, 4> rmq;
for (auto s : {0, 1, 2, 3}) {
std::vector<i64> f(nv.size());
for (int i = 0; i < int(nv.size()); ++i) {
f[i] = i64(nv[i]) - s % 2 * nl[i + 1] + s / 2 * nr[i + 1];
}
rmq[s].init(f);
}
for (int i = 0, jl = 0, jr = 0, kl = 0, kr = 0; i < int(pv.size()); ++i) {
while (jl < int(nv.size()) && pl[i + 1] > nl[jl + 1]) {
++jl;
}
while (kl < int(nv.size()) && pl[i + 1] >= nl[kl + 1]) {
++kl;
}
while (jr < int(nv.size()) && pr[i + 1] < nr[jr + 1]) {
++jr;
}
while (kr < int(nv.size()) && pr[i + 1] <= nr[kr + 1]) {
++kr;
}
for (auto s : {0, 1, 2, 3}) {
int ql = std::max(s % 2 * jl, s / 2 * jr);
int qr = std::min(s % 2 ? int(nv.size()) : kl, s / 2 ? int(nv.size()) : kr);
if (ql < qr) {
i64 res =
rmq[s ^ 3](ql, qr) + pv[i] + nv[ql] - s % 2 * pl[i + 1] + s / 2 * pr[i + 1];
ans = std::min(ans, res);
}
}
}
};
for (auto a : {-1, 1}) {
for (auto b : {-1, 1}) {
for (int i = 0; i < n; ++i) {
if (x[i] * a > 0) {
x[i] *= 2;
}
if (y[i] * b > 0) {
y[i] *= 2;
}
}
work();
for (int i = 0; i < n; ++i) {
if (x[i] * a > 0) {
x[i] /= 2;
}
if (y[i] * b > 0) {
y[i] /= 2;
}
}
}
}
std::cout << ans << "\n";
}
int main() {
std::cin.tie(nullptr)->sync_with_stdio(false);
int t;
std::cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3632kb
input:
3 2 0 1 1 0 4 1 1 -3 -3 4 -4 -2 2 4 1 100 3 100 -100 1 3 -100
output:
0 8 4
result:
ok 3 number(s): "0 8 4"
Test #2:
score: -100
Wrong Answer
time: 1ms
memory: 3552kb
input:
120 4 11 11 -22 -22 33 -33 -44 44 4 -11 11 22 -22 -33 -33 44 44 4 -11 -11 22 22 -33 33 44 -44 4 11 -11 -22 22 33 33 -44 -44 4 -11 11 22 -22 33 33 -44 -44 4 11 11 -22 -22 -33 33 44 -44 4 11 -11 -22 22 -33 -33 44 44 4 -11 -11 22 22 33 -33 -44 44 4 1 1 -2 -2 3 -3 -4 4 4 -1 1 2 -2 -3 -3 4 4 4 -1 -1 2 2 ...
output:
99 99 99 99 99 99 99 99 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 12 12 12 12 12 12 12 12 0 0 0 0 0 0 0 0 13 11 11 13 11 11 11 11 116 111 111 116 111 111 111 111 300 300 300 300 300 300 300 300 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 48 48 48 48 48 48 48...
result:
wrong answer 30th numbers differ - expected: '4', found: '5'