Submission #593432

#	Time	Username	Problem	Language	Result	Execution time	Memory
593432		marvinthang	Cake 3 (JOI19_cake3)	C++17	100 / 100	978 ms	203948 KiB

cake3

/*************************************
*    author: marvinthang             *
*    created: 11.07.2022 14:10:03    *
*************************************/

#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                 div  ___div
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define             FULL(i)  (MASK(i) - 1)
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#define          file(name)  if (fopen (name".inp", "r")) { freopen (name".inp", "r", stdin); freopen (name".out", "w", stdout); }

template <class T>             scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class T>            print_op(vector <T>)  { out << '{'; for (size_t i = 0; i + 1 < u.size(); ++i) out << u[i] << ", "; if (!u.empty()) out << u.back(); return out << '}'; }
template <class U, class V>   scan_op(pair <U, V>)  { return in >> u.fi >> u.se; }
template <class U, class V>  print_op(pair <U, V>)  { return out << '(' << u.fi << ", " << u.se << ')'; }
template <class InIter, class OutIter>  void compress(InIter first, InIter last, OutIter result) { vector <__typeof(*first)> v(first, last); sort(v.begin(), v.end()); unique(v.begin(), v.end()); while (first != last) { *result = lower_bound(v.begin(), v.end(), *first) - v.begin() + 1; ++first; ++result; } }
template <class A, class B>   inline bool minimize(A &a, B b)  { A eps = 1e-9; if (a > b + eps) { a = b; return true; } return false; }
template <class A, class B>   inline bool maximize(A &a, B b)  { A eps = 1e-9; if (a + eps < b) { a = b; return true; } return false; }

const double PI = 3.1415926535897932384626433832795; // acos(-1.0); atan(-1.0);
const int dir[] = {1, 0, -1, 0, 1, 1, -1, -1, 1};
const int MAX = 2e5 + 5;
const long long oo = 1e18;

int N, M, B[MAX];
pair <int, int> A[MAX];
long long res = -oo;

struct Node {
	long long sum;
	int cnt;
	Node *left, *right;
	Node(): sum(0), cnt(0), left(nullptr), right(nullptr) {}
	Node(Node *l, Node *r) {
		sum = l->sum + r->sum;
		cnt = l->cnt + r->cnt;
		left = l;
		right = r;
	}
} *versions[MAX];

Node* build(int l, int r) {
	if (l == r) return new Node();
	int m = l + r >> 1;
	return new Node(build(l, m), build(m + 1, r));	
}

Node* upgrade(Node *pre, int l, int r, int p) {
	if (l == r) {
		Node *tmp = new Node();
		tmp->sum = pre->sum + B[p];
		tmp->cnt = pre->cnt + 1;
		return tmp;
	}
	int m = l + r >> 1;
	if (p <= m) return new Node(upgrade(pre->left, l, m, p), pre->right);
	return new Node(pre->left, upgrade(pre->right, m + 1, r, p));
}

long long get(Node *left, Node *right, int l, int r, int cnt) {
	if (l == r) {
		int c = right->cnt - left->cnt;
		if (c < cnt) return -oo;
		return 1LL * cnt * B[l];
	}
	int m = l + r >> 1;
	int c = right->right->cnt - left->right->cnt;
	if (c >= cnt) return get(left->right, right->right, m + 1, r, cnt);
	return right->right->sum - left->right->sum + get(left->left, right->left, l, m, cnt - c);
}

void solve(int l, int r, int from, int to) {
	if (l > r) return;
	int mid = l + r >> 1;
	long long best = -oo, pos = -1;
	for (int i = max(mid, from); i <= to; ++i)
		if (maximize(best, get(versions[mid - 1], versions[i], 1, N, M) - 2 * (A[i].fi - A[mid].fi))) pos = i;
	assert(pos != -1);
	maximize(res, best);
	solve(l, mid - 1, from, pos);
	solve(mid + 1, r, pos, to);
}

int main(void) {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
	file("cake3");
	cin >> N >> M;
	for (int i = 1; i <= N; ++i) cin >> A[i].se >> A[i].fi;
	sort(A + 1, A + 1 + N);
	for (int i = 1; i <= N; ++i) B[i] = A[i].se;
	sort(B + 1, B + 1 + N);
	versions[0] = build(1, N);
	for (int i = 1; i <= N; ++i) {
		int p = lower_bound(B + 1, B + 1 + N, A[i].se) - B;
		versions[i] = upgrade(versions[i - 1], 1, N, p);
	}
	solve(1, N - M + 1, 1, N);
	cout << res << '\n';
	cerr << "Time elapsed: " << TIME << " s.\n";
	return 0;
}

Compilation message (stderr)

cake3.cpp: In function 'Node* build(int, int)':
cake3.cpp:56:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   56 |  int m = l + r >> 1;
      |          ~~^~~
cake3.cpp: In function 'Node* upgrade(Node*, int, int, int)':
cake3.cpp:67:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   67 |  int m = l + r >> 1;
      |          ~~^~~
cake3.cpp: In function 'long long int get(Node*, Node*, int, int, int)':
cake3.cpp:78:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   78 |  int m = l + r >> 1;
      |          ~~^~~
cake3.cpp: In function 'void solve(int, int, int, int)':
cake3.cpp:86:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   86 |  int mid = l + r >> 1;
      |            ~~^~~
cake3.cpp: In function 'int main()':
cake3.cpp:22:69: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   22 | #define          file(name)  if (fopen (name".inp", "r")) { freopen (name".inp", "r", stdin); freopen (name".out", "w", stdout); }
      |                                                             ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
cake3.cpp:98:2: note: in expansion of macro 'file'
   98 |  file("cake3");
      |  ^~~~
cake3.cpp:22:103: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   22 | #define          file(name)  if (fopen (name".inp", "r")) { freopen (name".inp", "r", stdin); freopen (name".out", "w", stdout); }
      |                                                                                               ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
cake3.cpp:98:2: note: in expansion of macro 'file'
   98 |  file("cake3");
      |  ^~~~

• Subtask 1: 5 / 5
• Subtask 2: 19 / 19
• Subtask 3: 76 / 76