結果
| 問題 | No.568 じゃんじゃん 落とす 委員会 |
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2017-09-09 01:31:34 |
| 言語 | C++14 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
AC
|
| 実行時間 | 226 ms / 1,000 ms |
| コード長 | 7,936 bytes |
| 記録 | |
| コンパイル時間 | 2,219 ms |
| コンパイル使用メモリ | 184,164 KB |
| 実行使用メモリ | 13,432 KB |
| 最終ジャッジ日時 | 2024-11-30 11:12:51 |
| 合計ジャッジ時間 | 5,246 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 26 |
ソースコード
#include <bits/stdc++.h>
#define show(x) cerr << #x << " = " << x << endl
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
os << "sz=" << v.size() << "\n[";
for (const auto& p : v) {
os << p << ",";
}
os << "]\n";
return os;
}
template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
os << "(" << p.first << "," << p.second
<< ")";
return os;
}
constexpr ll MOD = 1e9 + 7;
template <typename T>
constexpr T INF = numeric_limits<T>::max() / 100;
struct Student {
int x;
int a;
int b;
bool operator>(const Student& s) const
{
return (a != s.a) ? a > s.a : b > s.b;
}
};
ostream& operator<<(ostream& os, const Student& s)
{
os << s.x << " " << s.a << " " << s.b << endl;
return os;
}
template <typename Base>
class SegmentTree
{
public:
using BaseAlgebra = Base;
using AccMonoid = typename BaseAlgebra::AccMonoid;
using OpMonoid = typename BaseAlgebra::OpMonoid;
using T = typename BaseAlgebra::T;
using F = typename BaseAlgebra::OpMonoid::T;
SegmentTree(const int n) : data_num(n), height(__lg(2 * data_num - 1)), size(1 << (1 + height)), half(size >> 1), value(size, AccMonoid::identity()), action(size, OpMonoid::identity()) { assert(n > 0); }
SegmentTree(const std::vector<T>& val) : data_num(val.size()), height(__lg(2 * data_num - 1)), size(1 << (1 + height)), half(size >> 1), value(size), action(size, OpMonoid::identity())
{
for (int data = 0; data < half; data++) {
if (data < data_num) {
value[data + half] = val[data];
} else {
value[data + half] = AccMonoid::identity();
}
}
for (int node = half - 1; node >= 1; node--) {
value[node] = acc(value[2 * node], value[2 * node + 1]);
}
}
T get(const int a) const
{
assert(0 <= a and a < data_num);
return accumulate(a, a + 1);
}
void set(const int a, const T& val)
{
assert(0 <= a and a < data_num);
const int node = a + half;
value[node] = val;
for (int i = node / 2; i > 0; i /= 2) {
value[i] = acc(value[2 * i], value[2 * i + 1]);
}
}
T accumulate(const int a, const int b) const // Accumulate (a,b]
{
assert(0 <= a and a < b and b <= data_num);
return accumulateRec(1, 0, half, a, b);
}
void modify(const int a, const int b, const F& f) // Apply f on (a,b]
{
assert(0 <= a and a < b and b <= data_num);
if (f == OpMonoid::identity()) {
return;
}
modifyRec(1, 0, half, a, b, f);
}
void print() const
{
// cout << "#VALUE" << endl;
// for (int i = half; i < size; i++) {
// cout << value[i] << " ";
// }
// cout << endl;
// cout << "#ACTION" << endl;
// for (int i = 1; i < half; i++) {
// cout << action[i] << " ";
// }
// cout << endl;
}
private:
void modifyRec(const int int_index, const int int_left, const int int_right, const int mod_left, const int mod_right, const F& f)
{
if (mod_left <= int_left and int_right <= mod_right) {
value[int_index] = act(f, value[int_index]);
action[int_index] = compose(f, action[int_index]);
} else if (int_right <= mod_left or mod_right <= int_left) {
// Do nothing
} else {
modifyRec(2 * int_index, int_left, (int_left + int_right) / 2, 0, half, action[int_index]);
modifyRec(2 * int_index, int_left, (int_left + int_right) / 2, mod_left, mod_right, f);
modifyRec(2 * int_index + 1, (int_left + int_right) / 2, int_right, 0, half, action[int_index]);
modifyRec(2 * int_index + 1, (int_left + int_right) / 2, int_right, mod_left, mod_right, f);
value[int_index] = acc(value[2 * int_index], value[2 * int_index + 1]);
action[int_index] = OpMonoid::identity();
}
}
T accumulateRec(const int int_index, const int int_left, const int int_right, const int mod_left, const int mod_right) const
{
if (mod_left <= int_left and int_right <= mod_right) {
return value[int_index];
} else if (int_right <= mod_left or mod_right <= int_left) {
return AccMonoid::identity();
} else {
return act(action[int_index], acc(accumulateRec(2 * int_index, int_left, (int_left + int_right) / 2, mod_left, mod_right),
accumulateRec(2 * int_index + 1, (int_left + int_right) / 2, int_right, mod_left, mod_right)));
}
}
const int data_num; // Num of valid data on leaves.
const int height;
const int size;
const int half;
vector<T> value; // Tree for value(length: size)
vector<F> action; // Tree for action(length: half)
bool has_lazy;
const AccMonoid acc{};
const OpMonoid compose{};
const BaseAlgebra act{};
};
struct Min_Plus {
using T = ll;
struct AccMonoid {
T operator()(const T& a, const T& b) const { return min(a, b); }
static constexpr T identity() { return INF<T>; }
};
struct OpMonoid {
using T = ll;
T operator()(const T& f1, const T& f2) const { return f1 + f2; }
static constexpr T identity() { return 0; }
};
T operator()(const OpMonoid::T& f, const T& x) const { return f + x; }
};
int main()
{
cin.tie(0);
ios::sync_with_stdio(false);
int N, M;
cin >> N >> M;
vector<Student> student(N);
int three = 0;
int two = 0;
constexpr int MAX = 100000;
SegmentTree<Min_Plus> seg{vector<ll>(MAX + 1, 0)};
SegmentTree<Min_Plus> seg2{vector<ll>(MAX + 1, 0)};
for (int i = 0; i < N; i++) {
int X, A, B;
cin >> X >> A >> B;
student[i] = Student{X, A, B};
if (X == 3) {
two++;
three++;
} else if (X == 1) {
seg.modify(0, B + 1, 1);
} else if (X == 2) {
two++;
seg2.modify(0, B + 1, 1);
}
}
if (two >= M) {
cout << three << endl;
return 0;
}
sort(student.begin(), student.end(), greater<Student>());
int pos = 0;
ll minimum = INF<ll>;
bool flag = true;
for (int A = MAX + 1; A >= 0 and pos < N; A--) {
const int prev_pos = pos;
while (pos < N and student[pos].a >= A) {
if (student[pos].x == 2) {
three++;
seg2.modify(0, student[pos].b + 1, -1);
} else if (student[pos].x == 1) {
two++;
seg.modify(0, student[pos].b + 1, -1);
seg2.modify(0, student[pos].b + 1, 1);
} else if (student[pos].x == 0) {
seg.modify(0, student[pos].b + 1, 1);
}
pos++;
}
if (pos == prev_pos) {
if (pos == 0 and flag) {
flag = false;
} else {
continue;
}
}
const ll target = M - two;
if (target <= 0) {
minimum = min(minimum, (ll)three);
continue;
} else if (target > seg.get(0)) {
continue;
}
int inf = 0;
int sup = MAX;
while (inf < sup) {
const int mid = (inf + sup) / 2;
const ll cnt = seg.get(mid);
if (cnt >= target) {
if (inf == mid) {
break;
}
inf = mid;
} else {
sup = mid;
}
}
minimum = min(minimum, three + seg2.get(inf));
}
cout << minimum << endl;
return 0;
}