Submission #760219

# Submission time Handle Problem Language Result Execution time Memory
760219 2023-06-17T10:11:36 Z fakeaccount3169 Distributing Candies (IOI21_candies) C++17
0 / 100
5000 ms 44904 KB
#include <bits/stdc++.h>
#define pb push_back
#define int int64_t
using namespace std;

constexpr static int MEMORY_FACTOR = 3;
constexpr static int INF = 1e18;



struct SegTree
{
	struct Node
	{
		int sum, min_prefix, max_prefix, min_index, max_index;	
		Node(int sum, int min_prefix, int max_prefix, int index) : sum(sum), min_prefix(min_prefix), max_prefix(max_prefix), min_index(index), max_index(index) {}
		Node(int sum, int min_prefix, int max_prefix) : Node(sum, min_prefix, max_prefix, -1) {}
		Node() : Node(0, 0, 0) {}
		bool check(int capacity) {return max_prefix - min_prefix > capacity; } 

	};

	static Node merge(Node l, Node r)
	{
		Node new_node(l.sum + r.sum, min(l.min_prefix, r.min_prefix + l.sum), max(l.max_prefix, r.max_prefix + l.sum));
		if (l.min_prefix < r.min_prefix + l.sum)
			new_node.min_index = l.min_index;
		else
			new_node.min_index = r.min_index;
		if (l.max_prefix > r.max_prefix + l.sum)
			new_node.max_index = l.max_index;
		else
			new_node.max_index = r.max_index;
		return new_node;
	}

	int n;
	vector<Node> data;
	SegTree(int n) : n(n), data(n<<2) {}
	void set(int l, int r, int index, int i, int val)
	{
		if (i >= r || l > i)
			return;
		if (l + 1 == r)
		{
			data[index] = Node(val, val, val, i);
			return;
		}
		int mid = (l+r)>>1;
		set(l, mid, index<<1, i, val);
		set(mid, r, index<<1|1, i, val);
		data[index] = merge(data[index<<1], data[index<<1|1]);
	}
	Node get(int l, int r, int index, int ss, int ee) const
	{
		if (l >= ee || ss >= r)
			return Node(0, INF, -INF);
		if (l + 1 == r)
			return data[index];
		int mid = (l+r)>>1;
		Node l_node = get(l, mid, index<<1, ss, ee);
		Node r_node = get(mid, r, index<<1|1, ss, ee);
		return merge(l_node, r_node);
	}
	void set(int i, int val) { set(0, n, 1, i, val); }
	Node get(int ss, int ee) const { return get(0, n, 1, ss, ee); }
	int find_smallest_distance(int cap) 
	{
		if (!data[1].check(cap))
			return -1;
		int l = 0, r = n, index = 1;
		int min_prefix = INF, max_prefix = -INF;
		while (r - l > 1)
		{
			if (max(data[index<<1|1].max_prefix, max_prefix) - min(data[index<<1|1].min_prefix, min_prefix) > cap)
			{
				l = (l+r)>>1;
				index = index<<1|1;
			}
			else
			{
				r = (l+r)>>1;
				min_prefix = min(data[index<<1|1].min_prefix + data[index<<1].sum, min_prefix);
				max_prefix = max(data[index<<1|1].max_prefix + data[index<<1].sum, max_prefix);
			}
		}
		return l;
	}

};

vector<array<int,2>> index_sort(const vector<int32_t>& v)
{
	vector<array<int, 2>> res(v.size());
	for (int i = 0; i < static_cast<int64_t>(v.size()); i++)
		res[i] = {v[i], i};
	sort(res.begin(), res.end());
	return res;
}
/*

int find_min_prefix(const SegTree& st, int ss, int ee)
{
	int mp = st.get(ss, ee).min_prefix;
	int l = ss, r = ee;
	while (r - l > 1)
	{
		int m = (l+r)>>1;
		if (st.get(ss, m).sum + st.get(m, ee).min_prefix == mp)
			l = m;
		else
			r = m;
	}
	return l;
}

int find_max_prefix(const SegTree& st, int ss, int ee)
{
	int mp = st.get(ss, ee).max_prefix;
	int l = ss, r = ee;
	while (r - l > 1)
	{
		int m = (l+r)>>1;
		if (st.get(ss, m).sum + st.get(m, ee).max_prefix == mp)
			l = m;
		else
			r = m;
	}
	return l;
}
*/

vector<int32_t> distribute_candies(vector<int32_t> c, vector<int32_t> l, vector<int32_t> r, vector<int32_t> v)
{
	for (int32_t& i : r) i++;
	vector<array<int,2>> li = index_sort(l), ri = index_sort(r);
	int n = v.size()+1;
	int m = c.size();
	int ll = 0, rr = 0;
	SegTree st(n);
	vector<int32_t> res(m);
	for (int i = 0; i < m; i++)
	{
		while (ll < static_cast<int64_t>(li.size()) && li[ll][0] == i) 
		{
			int index = li[ll][1];
			st.set(index+1, v[index]);
			ll++;
		}
		while (rr < static_cast<int64_t>(ri.size()) && ri[rr][0] == i)
		{
			int index = ri[rr][1];
			st.set(index+1, 0);
			rr++;
		}
		int ss = st.find_smallest_distance(c[i]);
		if (ss == -1)
		{
			int min_index = st.get(0, n).min_index;
			res[i] = st.get(min_index + 1, n).sum;
		}
		else
		{
			int a = st.get(ss, n).min_index,
			b = st.get(ss, n).max_index;
			if (a > b)
				res[i] = st.get(a+1, n).sum;
			else
				res[i] = c[i] + st.get(b+1, n).sum;
		}
	}
	return res;
}

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Incorrect 0 ms 212 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 5055 ms 44904 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Incorrect 1 ms 212 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Incorrect 0 ms 212 KB Output isn't correct
3 Halted 0 ms 0 KB -