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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#199410 | #5143. Quick Sort | bigJ | TL | 44ms | 3536kb | C++20 | 5.3kb | 2023-10-04 11:50:30 | 2023-10-04 11:50:30 |
Judging History
answer
#include <bits/stdc++.h>
template<typename T, std::size_t N> std::istream& operator>>(std::istream& is, std::array<T, N>& v) { for (auto& i : v) is >> i; return is; }
template<typename T, std::size_t N> std::ostream& operator<<(std::ostream& os, std::array<T, N>& v) { for (auto& i : v) os << i << ' '; return os; }
template<typename T> std::istream& operator>>(std::istream& is, std::vector<T>& v) { for (auto& i : v) is >> i; return is; }
template<typename T> std::ostream& operator<<(std::ostream& os, std::vector<T>& v) { for (auto& i : v) os << i << ' '; return os; }
template<typename...Args> void debug(Args...args) { ((std::cerr << args << ' '), ...); std::cerr << '\n'; }
template<typename...Args> void println(Args...args) { ((std::cout << args << ' '), ...); std::cout << '\n'; }
using i64 = long long;
template <class Info>
struct SegmentTree {
#define m (l + r) / 2
int n;
std::vector<Info> tr;
SegmentTree() : n(0) {}
SegmentTree(int n_, Info v_ = Info()) {
init(n_, v_);
}
template<class T>
SegmentTree(std::vector<T> init_) {
init(init_);
}
void init(int n_, Info v_ = Info()) {
init(std::vector(n_, v_));
}
template<class T>
void init(std::vector<T> init_) {
n = init_.size();
tr.assign(4 << std::__lg(n), Info());
std::function<void(int, int, int)> build = [&](int p, int l, int r) {
if (r - l == 1) {
tr[p] = { init_[l] };
return;
}
build(2 * p, l, m);
build(2 * p + 1, m, r);
pull(p);
};
build(1, 0, n);
}
void pull(int p) {
tr[p] = tr[2 * p] + tr[2 * p + 1];
}
void modify(int p, int l, int r, int x, const Info& v) {
if (r - l == 1) {
tr[p] = v;
return;
}
if (x < m) {
modify(2 * p, l, m, x, v);
}
else {
modify(2 * p + 1, m, r, x, v);
}
pull(p);
}
void modify(int x, const Info& v) {
modify(1, 0, n, x, v);
}
Info rangeQuery(int p, int l, int r, int x, int y) {
if (l >= y || r <= x) {
return Info();
}
if (l >= x && r <= y) {
return tr[p];
}
return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m, r, x, y);
}
Info rangeQuery(int l, int r) {
return rangeQuery(1, 0, n, l, r);
}
int findFirstUpper(int p, int l, int r, int x, int y, int v) { // 向右找第一个不小于v的值
if (tr[p].mx < v) {
return -1;
}
if (r - l == 1) {
return l;
}
int mid = (l + r - 1) / 2;
if (x > mid) {
return findFirstUpper(2 * p + 1, m, r, x, y, v);
}
int ret = findFirstUpper(2 * p, l, m, x, y, v);
if (ret != -1) {
return ret;
}
return findFirstUpper(2 * p + 1, m, r, x, y, v);
}
int findFirstLower(int p, int l, int r, int x, int y, int v) { //向左找第一个不大于v的值
if (tr[p].mn > v) {
return -1;
}
if (r - l == 1) {
return l;
}
if (m > x) {
return findFirstLower(2 * p, l, m, x, y, v);
}
int ret = findFirstLower(2 * p + 1, m, r, x, y, v);
if (ret != -1) {
return ret;
}
return findFirstLower(2 * p, l, m, x, y, v);
}
int findFirstUpper(int l, int r, int v) {
return findFirstUpper(1, 0, n, l, r, v);
}
int findFirstLower(int l, int r, int v) {
return findFirstLower(1, 0, n, l, r, v);
}
#undef m
};
struct Info {
int mx, mn;
Info(int x) :mx(x), mn(x) {}
Info() :mx(-1e9), mn(1e9) {}
Info(int mx, int mn) :mx(mx), mn(mn) {}
friend Info operator+(const Info& a, const Info& b) {
return Info(std::max(a.mx, b.mx), std::min(a.mn, b.mn));
}
};
SegmentTree<Info> seg;
int res = 0;
int work(std::vector<int>& a, int l, int r) {
int m = a[(l + r) / 2];
int i = l - 1, j = r + 1;
while (true) {
i++, j--;
if (j - i + 1 <= 15) {
while (a[i] < m) i++;
while (a[j] > m) j--;
}
else {
std::tie(i, j) = std::pair(seg.findFirstUpper(i, j + 1, m), seg.findFirstLower(i, j + 1, m));
}
if (i >= j) {
return j;
}
else {
seg.modify(i, a[j]);
seg.modify(j, a[i]);
std::swap(a[i], a[j]);
res++;
}
}
return -1;
}
void quickSort(std::vector<int>& a, int l, int r) {
if (l >= 0 && r >= 0 && l < r) {
int m = work(a, l, r);
quickSort(a, l, m);
quickSort(a, m + 1, r);
}
}
auto solve() {
int n;
std::cin >> n;
std::vector<int> a(n + 1);
for (int i = 1; i <= n; i++) {
std::cin >> a[i];
}
seg.init(a);
quickSort(a, 1, n);
std::cout << res << "\n";
}
int main() {
std::cin.tie(nullptr);
std::ios::sync_with_stdio(false);
int c = 1;
std::cin >> c;
for (int i = 1; i <= c; i++) {
res = 0;
solve();
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3536kb
input:
3 3 3 2 1 5 2 4 5 3 1 10 7 2 4 6 1 9 10 8 5 3
output:
1 4 7
result:
ok 3 number(s): "1 4 7"
Test #2:
score: 0
Accepted
time: 40ms
memory: 3456kb
input:
100000 4 3 4 2 1 5 5 4 1 3 2 4 3 1 4 2 4 4 2 1 3 4 1 3 2 4 4 4 2 3 1 4 3 2 1 4 5 1 2 3 4 5 5 5 2 3 1 4 5 1 3 5 4 2 5 4 3 2 1 5 5 3 4 2 1 5 5 5 4 3 2 1 4 3 4 2 1 5 4 2 5 1 3 5 4 1 5 2 3 4 3 4 1 2 4 2 1 3 4 5 4 3 2 5 1 4 4 2 1 3 5 3 1 5 2 4 4 4 1 2 3 5 1 5 2 4 3 5 4 1 3 5 2 5 4 2 3 5 1 5 1 2 3 4 5 5 4...
output:
3 4 3 2 1 1 1 0 2 2 2 3 2 3 2 3 2 1 3 2 4 3 2 3 2 0 4 2 4 1 3 2 3 2 2 1 3 1 1 2 4 3 2 3 1 1 1 3 3 3 4 4 2 3 3 2 3 3 3 2 1 1 2 3 1 3 1 1 3 4 2 2 4 1 1 3 2 2 2 2 1 3 4 4 3 4 2 2 1 3 2 3 2 3 3 2 1 4 2 3 4 1 2 2 3 2 2 3 2 2 2 2 4 1 2 3 2 2 2 2 3 2 3 4 3 2 3 4 2 4 1 3 2 3 4 3 3 4 1 2 4 3 2 4 2 3 3 1 2 2 ...
result:
ok 100000 numbers
Test #3:
score: 0
Accepted
time: 44ms
memory: 3452kb
input:
50000 10 3 1 2 10 6 8 5 4 7 9 10 8 3 9 2 10 4 5 1 7 6 9 6 8 4 9 5 7 1 3 2 9 6 7 9 3 8 5 2 1 4 10 7 10 1 2 6 5 3 9 4 8 10 1 10 4 3 2 9 7 8 5 6 9 1 5 3 4 9 6 7 2 8 10 4 7 2 8 3 6 9 5 10 1 9 6 4 9 1 8 5 2 3 7 10 5 1 7 8 10 3 9 6 2 4 9 4 8 6 3 9 7 5 2 1 9 9 1 7 6 2 3 8 5 4 10 5 7 2 1 4 3 6 8 9 10 10 9 7...
output:
8 8 8 8 9 5 3 8 8 9 9 8 7 9 8 9 6 8 8 7 7 11 7 6 9 8 3 6 8 8 6 7 8 4 8 6 6 8 5 6 7 6 7 5 5 6 9 5 9 10 6 7 8 9 4 9 6 7 8 8 9 9 5 7 6 6 10 9 8 6 4 8 6 10 4 9 9 6 9 6 7 7 7 9 6 6 9 8 7 11 9 5 6 8 8 8 8 8 6 4 8 8 5 8 8 8 9 8 8 7 8 7 6 10 9 7 7 7 6 5 5 6 8 9 5 6 7 8 6 7 9 6 7 9 7 7 6 8 9 9 7 7 9 7 8 6 7 ...
result:
ok 50000 numbers
Test #4:
score: -100
Time Limit Exceeded
input:
5000 94 69 86 59 9 67 89 24 63 14 18 16 11 19 46 23 40 4 55 53 61 30 3 78 29 15 74 32 41 51 13 77 47 66 92 57 45 42 21 62 43 26 1 84 75 71 54 73 36 39 48 88 8 80 64 58 10 60 76 17 70 25 37 38 6 72 91 7 20 68 2 35 44 90 79 50 93 81 94 27 33 5 52 28 82 56 87 31 22 83 34 65 85 49 12 97 44 97 28 56 95 6...