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Submission #622975

# Submission time Handle Problem Language Result Execution time Memory
622975 2022-08-04T22:23:16 Z izanbf Examination (JOI19_examination) C++14
100 / 100
 2850 ms 62364 KB 
#include <bits/stdc++.h>
using namespace std;
 
struct Point {
	int x, y, z;
};
 
struct Query {
	int a, b, c, id;
};
 
const int B = 300;
const int MAXSZ = 6e5+9;

int bit[MAXSZ]; // binary/fenwick indexed tree
int sz; // bit size

int bit_sum(int r) {
    int ret = 0;
    for (; r >= 0; r = (r & (r + 1)) - 1)
        ret += bit[r];
    return ret;
}

int bit_sum(int l, int r) {
    return bit_sum(r) - bit_sum(l - 1);
}

void bit_add(int idx, int delta) {
    for (; idx < sz; idx = idx | (idx + 1))
        bit[idx] += delta;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
 
	int N, Q;
	cin >> N >> Q;
 
	set<int> values;
 
	vector<Point> pts(N);
	for (int i = 0; i < N; ++i) {
		Point& p = pts[i];
		cin >> p.x >> p.y;
		p.z = p.x + p.y;
		values.insert(p.x);
		values.insert(p.y);
		values.insert(p.z);
	}
 
	vector<Query> qs(Q);
	for (int i = 0; i < Q; ++i) {
		Query& q = qs[i];
		cin >> q.a >> q.b >> q.c;
		q.id = i;
		values.insert(q.a);
		values.insert(q.b);
		values.insert(q.c);
	}
 
 
	unordered_map<int,int> comp;
	for (int v : values) {
		comp[v] = comp.size();
	}
 
	for (Query& q : qs) {
		q.a = comp[q.a];
		q.b = comp[q.b];
		q.c = comp[q.c];
	}
 
	for (Point& p : pts) {
		p.x = comp[p.x];
		p.y = comp[p.y];
		p.z = comp[p.z];
	}
 
	sz = comp.size() + 2;
 
	sort(qs.begin(), qs.end(), [](const Query& l, const Query& r) {
		return l.c < r.c;
	});
 
	sort(pts.begin(), pts.end(), [](const Point& l, const Point& r) {
		return l.z < r.z;
	});
 
	int blocks = (N+B-1)/B;
	vector<vector<Query>> block_queries(blocks);
	int j = 0;
 
	for (int block = 1; block < blocks; ++block) {
		int i = B*block;
		while (j < Q and qs[j].c <= pts[i].z) {
			block_queries[block-1].push_back(qs[j]);
			++j;
		}
	}
	while (j < Q) {
		block_queries.back().push_back(qs[j]);
		++j;
	}
 
	vector<int> ans(Q);
 
	for (int block = 0; block < blocks; ++block) {
		if (block_queries[block].empty()) continue;
 
		memset(bit, 0, sizeof(int)*sz);
 
		vector<Point> in_block;
		in_block.reserve(B);
		for (int i = B*block; i < N and i < B*(block+1); ++i) {
			in_block.push_back(pts[i]);
		}
 
		vector<Point> over_block;
		over_block.reserve(N-B*block);
		for (int i = B*(block+1); i < N; ++i) {
			over_block.push_back(pts[i]);
			bit_add(pts[i].y, 1);
		}
 
		sort(over_block.begin(), over_block.end(), [&](const Point& l, const Point& r) {
			return l.x > r.x;
		});
 
		sort(block_queries[block].begin(), block_queries[block].end(), [&](const Query& l, const Query& r) {
			return l.a < r.a;
		});
 
		for (const Query& q : block_queries[block]) {
			int cnt_in = 0;
			int cnt_over = 0;
 
			// points in block
			for (const Point& p : in_block) {
				if (p.x >= q.a and p.y >= q.b and p.z >= q.c) ++cnt_in;
			}
 
			// points over block
			while ((not over_block.empty()) and over_block.back().x < q.a) {
				const Point& p = over_block.back();
				bit_add(p.y, -1);
				over_block.pop_back();
			}

			cnt_over = bit_sum(q.b, sz-1);
 
			ans[q.id] = cnt_in + cnt_over;
		}
	}
 
	for (int i = 0; i < Q; ++i) {
		cout << ans[i] << '\n';
	}
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 12 ms 2132 KB Output is correct
8 Correct 11 ms 2184 KB Output is correct
9 Correct 11 ms 2132 KB Output is correct
10 Correct 8 ms 1620 KB Output is correct
11 Correct 10 ms 1620 KB Output is correct
12 Correct 4 ms 548 KB Output is correct
13 Correct 10 ms 1876 KB Output is correct
14 Correct 9 ms 1876 KB Output is correct
15 Correct 12 ms 1876 KB Output is correct
16 Correct 5 ms 1108 KB Output is correct
17 Correct 7 ms 1364 KB Output is correct
18 Correct 2 ms 468 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 19380 KB Output is correct
2 Correct 239 ms 19356 KB Output is correct
3 Correct 290 ms 19256 KB Output is correct
4 Correct 167 ms 15972 KB Output is correct
5 Correct 199 ms 15844 KB Output is correct
6 Correct 78 ms 6128 KB Output is correct
7 Correct 253 ms 19200 KB Output is correct
8 Correct 250 ms 19144 KB Output is correct
9 Correct 221 ms 18856 KB Output is correct
10 Correct 177 ms 15224 KB Output is correct
11 Correct 158 ms 15192 KB Output is correct
12 Correct 67 ms 6220 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 19380 KB Output is correct
2 Correct 239 ms 19356 KB Output is correct
3 Correct 290 ms 19256 KB Output is correct
4 Correct 167 ms 15972 KB Output is correct
5 Correct 199 ms 15844 KB Output is correct
6 Correct 78 ms 6128 KB Output is correct
7 Correct 253 ms 19200 KB Output is correct
8 Correct 250 ms 19144 KB Output is correct
9 Correct 221 ms 18856 KB Output is correct
10 Correct 177 ms 15224 KB Output is correct
11 Correct 158 ms 15192 KB Output is correct
12 Correct 67 ms 6220 KB Output is correct
13 Correct 2129 ms 21924 KB Output is correct
14 Correct 1575 ms 19724 KB Output is correct
15 Correct 227 ms 19340 KB Output is correct
16 Correct 1348 ms 17188 KB Output is correct
17 Correct 1171 ms 17264 KB Output is correct
18 Correct 134 ms 6712 KB Output is correct
19 Correct 2063 ms 21900 KB Output is correct
20 Correct 1990 ms 20732 KB Output is correct
21 Correct 1925 ms 21868 KB Output is correct
22 Correct 143 ms 15176 KB Output is correct
23 Correct 174 ms 15176 KB Output is correct
24 Correct 74 ms 6208 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 12 ms 2132 KB Output is correct
8 Correct 11 ms 2184 KB Output is correct
9 Correct 11 ms 2132 KB Output is correct
10 Correct 8 ms 1620 KB Output is correct
11 Correct 10 ms 1620 KB Output is correct
12 Correct 4 ms 548 KB Output is correct
13 Correct 10 ms 1876 KB Output is correct
14 Correct 9 ms 1876 KB Output is correct
15 Correct 12 ms 1876 KB Output is correct
16 Correct 5 ms 1108 KB Output is correct
17 Correct 7 ms 1364 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 235 ms 19380 KB Output is correct
20 Correct 239 ms 19356 KB Output is correct
21 Correct 290 ms 19256 KB Output is correct
22 Correct 167 ms 15972 KB Output is correct
23 Correct 199 ms 15844 KB Output is correct
24 Correct 78 ms 6128 KB Output is correct
25 Correct 253 ms 19200 KB Output is correct
26 Correct 250 ms 19144 KB Output is correct
27 Correct 221 ms 18856 KB Output is correct
28 Correct 177 ms 15224 KB Output is correct
29 Correct 158 ms 15192 KB Output is correct
30 Correct 67 ms 6220 KB Output is correct
31 Correct 2129 ms 21924 KB Output is correct
32 Correct 1575 ms 19724 KB Output is correct
33 Correct 227 ms 19340 KB Output is correct
34 Correct 1348 ms 17188 KB Output is correct
35 Correct 1171 ms 17264 KB Output is correct
36 Correct 134 ms 6712 KB Output is correct
37 Correct 2063 ms 21900 KB Output is correct
38 Correct 1990 ms 20732 KB Output is correct
39 Correct 1925 ms 21868 KB Output is correct
40 Correct 143 ms 15176 KB Output is correct
41 Correct 174 ms 15176 KB Output is correct
42 Correct 74 ms 6208 KB Output is correct
43 Correct 2826 ms 62220 KB Output is correct
44 Correct 2850 ms 62364 KB Output is correct
45 Correct 2379 ms 62076 KB Output is correct
46 Correct 1962 ms 45488 KB Output is correct
47 Correct 1603 ms 45508 KB Output is correct
48 Correct 132 ms 6532 KB Output is correct
49 Correct 2121 ms 62044 KB Output is correct
50 Correct 2818 ms 62240 KB Output is correct
51 Correct 2007 ms 62184 KB Output is correct
52 Correct 1162 ms 35096 KB Output is correct
53 Correct 279 ms 26272 KB Output is correct