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답안 #383922

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
383922 2021-03-31T02:31:27 Z nikatamliani Examination (JOI19_examination) C++14
100 / 100
 828 ms 58984 KB 
#include <bits/stdc++.h>
using namespace std;
const int N = 3e5+10;
template <typename T>
struct fenwick_tree {
    int size;
    vector<T> tree;
    T neutral;
    fenwick_tree(int n, T _neutral) {
        size = n;
        neutral = _neutral;
        tree = vector<T>(n + 1);
    }

    void update(int index, T value) {
        for(; index <= size; index += index & -index) {
            tree[index] += value;
        }
    }
    T query_prefix(int index) {
        T ans = neutral;
        for(; index; index -= index & -index) {
            ans += tree[index];
        }
        return ans; 
    }
    T query(int l, int r) {
        return query_prefix(r) - query_prefix(l - 1);
    }
};
map<int, int> compress(vector<int> &coords) {
	sort(coords.begin(), coords.end());
	map<int, int> compressed;
	for(int i = 0, current = 0; i < (int)coords.size(); ++i) {
		if(i == 0 || coords[i] != coords[i - 1]) ++current;
		compressed[coords[i]] = current;
	}
	return compressed;
}
int x[N], y[N], a[N], b[N], c[N];
int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	int n, m;
	cin >> n >> m; 
	vector<vector<int>> v;
	vector<int> sorted_sums;
	for(int i = 1; i <= n; ++i) {
		cin >> x[i] >> y[i];
		sorted_sums.push_back(x[i] + y[i]);
		v.push_back({x[i], y[i]});
	}
	sort(sorted_sums.begin(), sorted_sums.end());
	sort(v.begin(), v.end());
	for(int i = 1; i <= n; ++i) {
		x[i] = v[i - 1][0];
		y[i] = v[i - 1][1];
	}
	v.clear();
	for(int i = 1; i <= m; ++i) {
		cin >> a[i] >> b[i] >> c[i];
	}
	vector<int> type1, type2;
	for(int i = 1; i <= m; ++i) {
		if(a[i] + b[i] >= c[i]) {
			type1.push_back(i);
		} else {
			type2.push_back(i);
		}
	}
	map<int, int> compressed_sum, compressed_x, compressed_y;
	//sum
	vector<int> coords(n + m); 
	for(int i = 1; i <= m; ++i) {
		coords[i - 1] = c[i];
	}
	for(int i = 1; i <= n; ++i) {
		coords[i + m - 1] = x[i] + y[i];
	}
	compressed_sum = compress(coords);
	//x
	for(int i = 1; i <= m; ++i) {
		coords[i - 1] = a[i];
	}
	for(int i = 1; i <= n; ++i) {
		coords[i + m - 1] = x[i];
	}
	compressed_x = compress(coords);
	//y
	for(int i = 1; i <= m; ++i) {
		coords[i - 1] = b[i];
	}
	for(int i = 1; i <= n; ++i) {
		coords[i + m - 1] = y[i];
	}
	compressed_y = compress(coords);
	sort(type1.begin(), type1.end(), [&](int x, int y) {
		if(a[x] == a[y]) {
			if(b[x] == b[y]) {
				return c[x] < c[y];
			}
			return b[x] < b[y];
		}
		return a[x] < a[y];
	});
	auto sum = [](int x, int y) -> int {
		return x + y;
	};
	fenwick_tree<int> t(N, 0);
	fenwick_tree<int> tx(N, 0);
	fenwick_tree<int> ty(N, 0);
	vector<int> ans(m+1);
	for(int i = (int)type1.size() - 1, j = n; i >= 0; --i) {
		int q_id = type1[i];
		while(j > 0 && x[j] >= a[q_id]) {
			int val = compressed_y[y[j]];
			t.update(val, 1);
			--j;
		}
		int val = compressed_y[b[q_id]];
		ans[q_id] = t.query(val, t.size);
	}
	for(int i : type2) {
		int l = 0, r = n - 1, ind = n;
		while(r >= l) {
			int middle = l + r >> 1;
			if(sorted_sums[middle] >= c[i]) {
				r = middle - 1;
				ind = middle;
			} else {
				l = middle + 1;
			}
		}
		ans[i] = n - ind;
	}
	vector<int> sums[N], queries[N];
	for(int i = 1; i <= n; ++i) {
		int val = compressed_sum[x[i] + y[i]];
		sums[val].push_back(i);
	}
	for(int i : type2) {
		if(i == -1) continue;
		int val = compressed_sum[c[i]];
		queries[val].push_back(i);
	}
	int max_sum_val = (int)compressed_sum.size();
	for(int i = max_sum_val; i >= 1; --i) {
		for(int id : sums[i]) {
			int val_x = compressed_x[x[id]];
			int val_y = compressed_y[y[id]];
			tx.update(val_x, 1); 
			ty.update(val_y, 1);
		}
		for(int id : queries[i]) {
			int val_x = compressed_x[a[id]];
			int val_y = compressed_y[b[id]];
			ans[id] -= tx.query(1, val_x - 1);
			ans[id] -= ty.query(1, val_y - 1);
		}
	}
	for(int i = 1; i <= m; ++i) {
		cout << ans[i] << '\n';
	}
}

Compilation message

examination.cpp: In function 'int main()':
examination.cpp:125:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  125 |    int middle = l + r >> 1;
      |                 ~~^~~
examination.cpp:105:7: warning: variable 'sum' set but not used [-Wunused-but-set-variable]
  105 |  auto sum = [](int x, int y) -> int {
      |       ^~~

Subtask #1
2.0 / 2.0

# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 18028 KB Output is correct
2 Correct 11 ms 18028 KB Output is correct
3 Correct 12 ms 18028 KB Output is correct
4 Correct 12 ms 18028 KB Output is correct
5 Correct 12 ms 18028 KB Output is correct
6 Correct 12 ms 18028 KB Output is correct
7 Correct 23 ms 19180 KB Output is correct
8 Correct 23 ms 19180 KB Output is correct
9 Correct 23 ms 19180 KB Output is correct
10 Correct 20 ms 18924 KB Output is correct
11 Correct 22 ms 18924 KB Output is correct
12 Correct 16 ms 18284 KB Output is correct
13 Correct 21 ms 19052 KB Output is correct
14 Correct 21 ms 18924 KB Output is correct
15 Correct 21 ms 18924 KB Output is correct
16 Correct 18 ms 18668 KB Output is correct
17 Correct 19 ms 18924 KB Output is correct
18 Correct 15 ms 18284 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 454 ms 38940 KB Output is correct
2 Correct 443 ms 38812 KB Output is correct
3 Correct 471 ms 39088 KB Output is correct
4 Correct 230 ms 33980 KB Output is correct
5 Correct 267 ms 34076 KB Output is correct
6 Correct 139 ms 26908 KB Output is correct
7 Correct 419 ms 37916 KB Output is correct
8 Correct 431 ms 37904 KB Output is correct
9 Correct 437 ms 37028 KB Output is correct
10 Correct 237 ms 33820 KB Output is correct
11 Correct 221 ms 33820 KB Output is correct
12 Correct 111 ms 26012 KB Output is correct

Subtask #3
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 454 ms 38940 KB Output is correct
2 Correct 443 ms 38812 KB Output is correct
3 Correct 471 ms 39088 KB Output is correct
4 Correct 230 ms 33980 KB Output is correct
5 Correct 267 ms 34076 KB Output is correct
6 Correct 139 ms 26908 KB Output is correct
7 Correct 419 ms 37916 KB Output is correct
8 Correct 431 ms 37904 KB Output is correct
9 Correct 437 ms 37028 KB Output is correct
10 Correct 237 ms 33820 KB Output is correct
11 Correct 221 ms 33820 KB Output is correct
12 Correct 111 ms 26012 KB Output is correct
13 Correct 563 ms 42524 KB Output is correct
14 Correct 501 ms 41500 KB Output is correct
15 Correct 447 ms 38940 KB Output is correct
16 Correct 302 ms 36252 KB Output is correct
17 Correct 341 ms 36252 KB Output is correct
18 Correct 137 ms 26140 KB Output is correct
19 Correct 573 ms 42396 KB Output is correct
20 Correct 542 ms 41756 KB Output is correct
21 Correct 608 ms 42484 KB Output is correct
22 Correct 238 ms 33820 KB Output is correct
23 Correct 215 ms 33820 KB Output is correct
24 Correct 113 ms 26012 KB Output is correct

Subtask #4
57.0 / 57.0

# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 18028 KB Output is correct
2 Correct 11 ms 18028 KB Output is correct
3 Correct 12 ms 18028 KB Output is correct
4 Correct 12 ms 18028 KB Output is correct
5 Correct 12 ms 18028 KB Output is correct
6 Correct 12 ms 18028 KB Output is correct
7 Correct 23 ms 19180 KB Output is correct
8 Correct 23 ms 19180 KB Output is correct
9 Correct 23 ms 19180 KB Output is correct
10 Correct 20 ms 18924 KB Output is correct
11 Correct 22 ms 18924 KB Output is correct
12 Correct 16 ms 18284 KB Output is correct
13 Correct 21 ms 19052 KB Output is correct
14 Correct 21 ms 18924 KB Output is correct
15 Correct 21 ms 18924 KB Output is correct
16 Correct 18 ms 18668 KB Output is correct
17 Correct 19 ms 18924 KB Output is correct
18 Correct 15 ms 18284 KB Output is correct
19 Correct 454 ms 38940 KB Output is correct
20 Correct 443 ms 38812 KB Output is correct
21 Correct 471 ms 39088 KB Output is correct
22 Correct 230 ms 33980 KB Output is correct
23 Correct 267 ms 34076 KB Output is correct
24 Correct 139 ms 26908 KB Output is correct
25 Correct 419 ms 37916 KB Output is correct
26 Correct 431 ms 37904 KB Output is correct
27 Correct 437 ms 37028 KB Output is correct
28 Correct 237 ms 33820 KB Output is correct
29 Correct 221 ms 33820 KB Output is correct
30 Correct 111 ms 26012 KB Output is correct
31 Correct 563 ms 42524 KB Output is correct
32 Correct 501 ms 41500 KB Output is correct
33 Correct 447 ms 38940 KB Output is correct
34 Correct 302 ms 36252 KB Output is correct
35 Correct 341 ms 36252 KB Output is correct
36 Correct 137 ms 26140 KB Output is correct
37 Correct 573 ms 42396 KB Output is correct
38 Correct 542 ms 41756 KB Output is correct
39 Correct 608 ms 42484 KB Output is correct
40 Correct 238 ms 33820 KB Output is correct
41 Correct 215 ms 33820 KB Output is correct
42 Correct 113 ms 26012 KB Output is correct
43 Correct 761 ms 57884 KB Output is correct
44 Correct 774 ms 58012 KB Output is correct
45 Correct 672 ms 56952 KB Output is correct
46 Correct 366 ms 48412 KB Output is correct
47 Correct 464 ms 48412 KB Output is correct
48 Correct 139 ms 26780 KB Output is correct
49 Correct 707 ms 57756 KB Output is correct
50 Correct 807 ms 58524 KB Output is correct
51 Correct 828 ms 58984 KB Output is correct
52 Correct 389 ms 48284 KB Output is correct
53 Correct 247 ms 42012 KB Output is correct