oj.uz

Submission #760197

# Submission time Handle Problem Language Result Execution time Memory
760197 2023-06-17T09:33:44 Z fakeaccount3169 Distributing Candies (IOI21_candies) C++17
3 / 100
 5000 ms 32984 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;
		Node(int sum, int min_prefix, int max_prefix) : sum(sum), min_prefix(min_prefix), max_prefix(max_prefix) {}
		bool check(int capacity) {return max_prefix - min_prefix > capacity; } 
		Node() : Node(0, 0, 0) {}

	};

	static Node merge(Node l, Node r)
	{
		return Node(l.sum + r.sum, min(l.min_prefix, r.min_prefix + l.sum), max(l.max_prefix, r.max_prefix + l.sum));
	}

	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);
			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); }

};

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;
}

int find_smallest_distance(const SegTree& st, int cap, int n)
{
	int l = -1, r = n;
	while (r - l > 1)
	{
		int m = (l+r)>>1;
		if (st.get(m, n).check(cap))
			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 = find_smallest_distance(st, c[i], n);
		if (ss == -1)
		{
			res[i] = st.get(find_min_prefix(st, 0, n) + 1, n).sum;
		}
		else
		{
			int a = find_min_prefix(st, ss, n),
			b = find_max_prefix(st, ss, n);
			if (a > b)
				res[i] = st.get(a+1, n).sum;
			else
				res[i] = c[i] + st.get(b+1, n).sum;
		}
	}
	return res;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 3 ms 596 KB Output is correct
4 Correct 10 ms 564 KB Output is correct
5 Correct 110 ms 596 KB Output is correct

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Execution timed out 5078 ms 32364 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Execution timed out 5072 ms 32984 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 304 KB Output is correct
3 Execution timed out 5081 ms 32604 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 3 ms 596 KB Output is correct
4 Correct 10 ms 564 KB Output is correct
5 Correct 110 ms 596 KB Output is correct
6 Execution timed out 5078 ms 32364 KB Time limit exceeded
7 Halted 0 ms 0 KB -