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Submission #435577

# Submission time Handle Problem Language Result Execution time Memory
435577 2021-06-23T12:45:58 Z grt Fountain Parks (IOI21_parks) C++17
55 / 100
 929 ms 126824 KB 
#include <bits/stdc++.h>
#include "parks.h"
#define ST first
#define ND second
#define PB push_back

using namespace std;
using ll = long long;
using pi = pair<int,int>;
using vi = vector<int>;

const int nax = 800 * 1000 + 10;
map<pi, int>fontain;
pi road[nax];
int n;
vi V[nax], V2[nax];
map<pi, int>pts;
pi inv[nax];
bool vis[nax];
int match[nax];

bool augument(int u) {
	vis[u] = true;
	for(int v : V[u]) {
		if(match[v] == -1) {
			match[u] = v;
			match[v] = u;
			return true;
		}
	}
	for(int v : V[u]) {
		if(!vis[match[v]] && augument(match[v])) {
			match[u] = v;
			match[v] = u;
			return true;
		}
	}
	return false;
}

void dfs(int x) {
	vis[x] = true;
	for(int nbh : V2[x]) if(!vis[nbh]) {
		dfs(nbh);
	}
}

int construct_roads(vi xx, vi yx) {
	for(int i = 0; i < (int)xx.size(); ++i) {
		fontain[{xx[i], yx[i]}] = i;
	}
	for(auto it : fontain) {
		auto [x, y] = it.ST;
		if(fontain.count({x + 2, y})) {
			road[n] = {it.ND, fontain[{x + 2, y}]};
			pts[{x + 1, y - 1}];
			pts[{x + 1, y + 1}];
			n++;
		}
		if(fontain.count({x, y + 2})) {
			road[n] = {it.ND, fontain[{x, y + 2}]};
			pts[{x - 1, y + 1}];
			pts[{x + 1, y + 1}];
			n++;
		}
	}
	int id = 0;
	for(auto &it : pts) {
		inv[id] = it.ST;
		it.ND = id++;
	}
	for(int i = 0; i < n; ++i) {
		V2[road[i].ST].PB(road[i].ND);
		V2[road[i].ND].PB(road[i].ST);
		int x1 = xx[road[i].ST], y1 = yx[road[i].ST];
		int x2 = xx[road[i].ND], y2 = yx[road[i].ND];
		if(x1 == x2) {
			int y = (y1 + y2) / 2;
			for(int x : {x1 - 1, x1 + 1}) {
				int nr = pts[{x, y}];
				V[i].emplace_back(n + nr);
				V[n + nr].emplace_back(i);
			}
		} else if(y1 == y2) {
			int x = (x1 + x2) / 2;
			for(int y : {y1 - 1, y1 + 1}) {
				int nr = pts[{x, y}];
				V[i].emplace_back(n + nr);
				V[n + nr].emplace_back(i);
			}
		}
	}
	dfs(0);
	for(int i = 0; i < (int)xx.size(); ++i) {
		if(!vis[i]) {
			return 0;
		}
	}
	for(int i = 0; i < n + id; ++i) {
		match[i] = -1;
	}
	while(true) {
		bool any = false;
		for(int i = 0; i < n + id; ++i) {
			vis[i] = false;
		}
		for(int i = 0; i < n + id; ++i) {
			if(match[i] == -1 && augument(i)) {
				any = true;
			}
		}
		if(!any) break;
	}
	for(int i = 0; i < n; ++i) {
		if(match[i] == -1) {
			return 0;
		}
	}
	vi u(n), v(n), a(n), b(n);
	for(int i = 0; i < n; ++i) {
		u[i] = road[i].ST;
		v[i] = road[i].ND;
		a[i] = inv[match[i] - n].ST;
		b[i] = inv[match[i] - n].ND;
	}
	build(u,v,a,b);
	return 1;
}

//int main() {
	//ios_base::sync_with_stdio(0);
	//cin.tie(0);
//}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 37828 KB Output is correct
2 Correct 22 ms 37964 KB Output is correct
3 Correct 22 ms 37772 KB Output is correct
4 Correct 23 ms 37808 KB Output is correct
5 Correct 24 ms 37892 KB Output is correct
6 Correct 23 ms 37836 KB Output is correct
7 Correct 22 ms 37780 KB Output is correct
8 Correct 23 ms 37844 KB Output is correct
9 Correct 370 ms 80948 KB Output is correct
10 Correct 46 ms 42308 KB Output is correct
11 Correct 174 ms 61088 KB Output is correct
12 Correct 56 ms 44484 KB Output is correct
13 Correct 117 ms 53980 KB Output is correct
14 Correct 25 ms 38152 KB Output is correct
15 Correct 27 ms 38476 KB Output is correct
16 Correct 368 ms 80148 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 37828 KB Output is correct
2 Correct 22 ms 37964 KB Output is correct
3 Correct 22 ms 37772 KB Output is correct
4 Correct 23 ms 37808 KB Output is correct
5 Correct 24 ms 37892 KB Output is correct
6 Correct 23 ms 37836 KB Output is correct
7 Correct 22 ms 37780 KB Output is correct
8 Correct 23 ms 37844 KB Output is correct
9 Correct 370 ms 80948 KB Output is correct
10 Correct 46 ms 42308 KB Output is correct
11 Correct 174 ms 61088 KB Output is correct
12 Correct 56 ms 44484 KB Output is correct
13 Correct 117 ms 53980 KB Output is correct
14 Correct 25 ms 38152 KB Output is correct
15 Correct 27 ms 38476 KB Output is correct
16 Correct 368 ms 80148 KB Output is correct
17 Correct 27 ms 37848 KB Output is correct
18 Correct 25 ms 37828 KB Output is correct
19 Correct 29 ms 37796 KB Output is correct
20 Correct 26 ms 37836 KB Output is correct
21 Correct 22 ms 37888 KB Output is correct
22 Correct 22 ms 37800 KB Output is correct
23 Correct 903 ms 126808 KB Output is correct
24 Correct 21 ms 37836 KB Output is correct
25 Correct 25 ms 38424 KB Output is correct
26 Correct 29 ms 38844 KB Output is correct
27 Correct 31 ms 39188 KB Output is correct
28 Correct 321 ms 73532 KB Output is correct
29 Correct 492 ms 91248 KB Output is correct
30 Correct 699 ms 109180 KB Output is correct
31 Correct 929 ms 126824 KB Output is correct
32 Correct 22 ms 37836 KB Output is correct
33 Correct 22 ms 37836 KB Output is correct
34 Correct 23 ms 37836 KB Output is correct
35 Correct 23 ms 37836 KB Output is correct
36 Correct 22 ms 37816 KB Output is correct
37 Correct 23 ms 37836 KB Output is correct
38 Correct 23 ms 37964 KB Output is correct
39 Correct 22 ms 37840 KB Output is correct
40 Correct 27 ms 37836 KB Output is correct
41 Correct 23 ms 37808 KB Output is correct
42 Correct 21 ms 37836 KB Output is correct
43 Correct 25 ms 38420 KB Output is correct
44 Correct 27 ms 38732 KB Output is correct
45 Correct 341 ms 73684 KB Output is correct
46 Correct 487 ms 89908 KB Output is correct
47 Correct 490 ms 89940 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 37828 KB Output is correct
2 Correct 22 ms 37964 KB Output is correct
3 Correct 22 ms 37772 KB Output is correct
4 Correct 23 ms 37808 KB Output is correct
5 Correct 24 ms 37892 KB Output is correct
6 Correct 23 ms 37836 KB Output is correct
7 Correct 22 ms 37780 KB Output is correct
8 Correct 23 ms 37844 KB Output is correct
9 Correct 370 ms 80948 KB Output is correct
10 Correct 46 ms 42308 KB Output is correct
11 Correct 174 ms 61088 KB Output is correct
12 Correct 56 ms 44484 KB Output is correct
13 Correct 117 ms 53980 KB Output is correct
14 Correct 25 ms 38152 KB Output is correct
15 Correct 27 ms 38476 KB Output is correct
16 Correct 368 ms 80148 KB Output is correct
17 Correct 27 ms 37848 KB Output is correct
18 Correct 25 ms 37828 KB Output is correct
19 Correct 29 ms 37796 KB Output is correct
20 Correct 26 ms 37836 KB Output is correct
21 Correct 22 ms 37888 KB Output is correct
22 Correct 22 ms 37800 KB Output is correct
23 Correct 903 ms 126808 KB Output is correct
24 Correct 21 ms 37836 KB Output is correct
25 Correct 25 ms 38424 KB Output is correct
26 Correct 29 ms 38844 KB Output is correct
27 Correct 31 ms 39188 KB Output is correct
28 Correct 321 ms 73532 KB Output is correct
29 Correct 492 ms 91248 KB Output is correct
30 Correct 699 ms 109180 KB Output is correct
31 Correct 929 ms 126824 KB Output is correct
32 Correct 22 ms 37836 KB Output is correct
33 Correct 22 ms 37836 KB Output is correct
34 Correct 23 ms 37836 KB Output is correct
35 Correct 23 ms 37836 KB Output is correct
36 Correct 22 ms 37816 KB Output is correct
37 Correct 23 ms 37836 KB Output is correct
38 Correct 23 ms 37964 KB Output is correct
39 Correct 22 ms 37840 KB Output is correct
40 Correct 27 ms 37836 KB Output is correct
41 Correct 23 ms 37808 KB Output is correct
42 Correct 21 ms 37836 KB Output is correct
43 Correct 25 ms 38420 KB Output is correct
44 Correct 27 ms 38732 KB Output is correct
45 Correct 341 ms 73684 KB Output is correct
46 Correct 487 ms 89908 KB Output is correct
47 Correct 490 ms 89940 KB Output is correct
48 Correct 22 ms 37776 KB Output is correct
49 Correct 24 ms 37784 KB Output is correct
50 Correct 25 ms 37848 KB Output is correct
51 Correct 23 ms 37844 KB Output is correct
52 Correct 23 ms 37808 KB Output is correct
53 Correct 24 ms 37852 KB Output is correct
54 Correct 24 ms 37808 KB Output is correct
55 Incorrect 816 ms 113296 KB Solution announced impossible, but it is possible.
56 Halted 0 ms 0 KB -

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 37828 KB Output is correct
2 Correct 22 ms 37964 KB Output is correct
3 Correct 22 ms 37772 KB Output is correct
4 Correct 23 ms 37808 KB Output is correct
5 Correct 24 ms 37892 KB Output is correct
6 Correct 23 ms 37836 KB Output is correct
7 Correct 22 ms 37780 KB Output is correct
8 Correct 23 ms 37844 KB Output is correct
9 Correct 370 ms 80948 KB Output is correct
10 Correct 46 ms 42308 KB Output is correct
11 Correct 174 ms 61088 KB Output is correct
12 Correct 56 ms 44484 KB Output is correct
13 Correct 117 ms 53980 KB Output is correct
14 Correct 25 ms 38152 KB Output is correct
15 Correct 27 ms 38476 KB Output is correct
16 Correct 368 ms 80148 KB Output is correct
17 Correct 22 ms 37836 KB Output is correct
18 Correct 23 ms 37836 KB Output is correct
19 Correct 25 ms 37836 KB Output is correct
20 Correct 686 ms 115080 KB Output is correct
21 Correct 720 ms 107072 KB Output is correct
22 Correct 776 ms 107144 KB Output is correct
23 Correct 667 ms 110148 KB Output is correct
24 Correct 250 ms 53632 KB Output is correct
25 Correct 646 ms 108356 KB Output is correct
26 Correct 573 ms 108356 KB Output is correct
27 Correct 702 ms 120604 KB Output is correct
28 Correct 679 ms 120548 KB Output is correct
29 Correct 790 ms 120608 KB Output is correct
30 Correct 838 ms 120668 KB Output is correct
31 Correct 24 ms 37836 KB Output is correct
32 Correct 57 ms 43024 KB Output is correct
33 Correct 120 ms 45712 KB Output is correct
34 Correct 734 ms 114900 KB Output is correct
35 Correct 46 ms 40524 KB Output is correct
36 Correct 157 ms 51340 KB Output is correct
37 Correct 281 ms 64944 KB Output is correct
38 Correct 314 ms 64136 KB Output is correct
39 Correct 416 ms 73832 KB Output is correct
40 Correct 505 ms 83620 KB Output is correct
41 Correct 609 ms 93476 KB Output is correct
42 Correct 755 ms 103356 KB Output is correct
43 Correct 26 ms 37836 KB Output is correct
44 Correct 27 ms 37844 KB Output is correct
45 Correct 25 ms 37852 KB Output is correct
46 Correct 29 ms 37860 KB Output is correct
47 Correct 24 ms 37848 KB Output is correct
48 Correct 24 ms 37832 KB Output is correct
49 Correct 24 ms 37816 KB Output is correct
50 Correct 23 ms 37860 KB Output is correct
51 Correct 23 ms 37888 KB Output is correct
52 Correct 25 ms 37852 KB Output is correct
53 Correct 26 ms 37816 KB Output is correct
54 Correct 27 ms 38480 KB Output is correct
55 Correct 32 ms 38732 KB Output is correct
56 Correct 388 ms 73648 KB Output is correct
57 Correct 629 ms 89908 KB Output is correct
58 Correct 533 ms 89776 KB Output is correct
59 Correct 24 ms 37836 KB Output is correct
60 Correct 27 ms 37836 KB Output is correct
61 Correct 22 ms 37832 KB Output is correct
62 Correct 887 ms 123084 KB Output is correct
63 Correct 818 ms 123156 KB Output is correct
64 Correct 747 ms 123140 KB Output is correct
65 Correct 36 ms 38980 KB Output is correct
66 Correct 44 ms 40132 KB Output is correct
67 Correct 423 ms 72600 KB Output is correct
68 Correct 641 ms 90436 KB Output is correct
69 Correct 855 ms 107520 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 37828 KB Output is correct
2 Correct 22 ms 37964 KB Output is correct
3 Correct 22 ms 37772 KB Output is correct
4 Correct 23 ms 37808 KB Output is correct
5 Correct 24 ms 37892 KB Output is correct
6 Correct 23 ms 37836 KB Output is correct
7 Correct 22 ms 37780 KB Output is correct
8 Correct 23 ms 37844 KB Output is correct
9 Correct 370 ms 80948 KB Output is correct
10 Correct 46 ms 42308 KB Output is correct
11 Correct 174 ms 61088 KB Output is correct
12 Correct 56 ms 44484 KB Output is correct
13 Correct 117 ms 53980 KB Output is correct
14 Correct 25 ms 38152 KB Output is correct
15 Correct 27 ms 38476 KB Output is correct
16 Correct 368 ms 80148 KB Output is correct
17 Correct 844 ms 124164 KB Output is correct
18 Correct 752 ms 123800 KB Output is correct
19 Correct 741 ms 103248 KB Output is correct
20 Correct 842 ms 113600 KB Output is correct
21 Correct 700 ms 109700 KB Output is correct
22 Correct 25 ms 37836 KB Output is correct
23 Correct 107 ms 48868 KB Output is correct
24 Correct 64 ms 43748 KB Output is correct
25 Correct 189 ms 58212 KB Output is correct
26 Correct 315 ms 72704 KB Output is correct
27 Correct 402 ms 74708 KB Output is correct
28 Correct 509 ms 83884 KB Output is correct
29 Correct 590 ms 93136 KB Output is correct
30 Correct 725 ms 102376 KB Output is correct
31 Correct 798 ms 111516 KB Output is correct
32 Correct 867 ms 118540 KB Output is correct
33 Correct 786 ms 124120 KB Output is correct
34 Correct 32 ms 39372 KB Output is correct
35 Correct 44 ms 40612 KB Output is correct
36 Correct 350 ms 74736 KB Output is correct
37 Correct 590 ms 93456 KB Output is correct
38 Correct 768 ms 112372 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 37828 KB Output is correct
2 Correct 22 ms 37964 KB Output is correct
3 Correct 22 ms 37772 KB Output is correct
4 Correct 23 ms 37808 KB Output is correct
5 Correct 24 ms 37892 KB Output is correct
6 Correct 23 ms 37836 KB Output is correct
7 Correct 22 ms 37780 KB Output is correct
8 Correct 23 ms 37844 KB Output is correct
9 Correct 370 ms 80948 KB Output is correct
10 Correct 46 ms 42308 KB Output is correct
11 Correct 174 ms 61088 KB Output is correct
12 Correct 56 ms 44484 KB Output is correct
13 Correct 117 ms 53980 KB Output is correct
14 Correct 25 ms 38152 KB Output is correct
15 Correct 27 ms 38476 KB Output is correct
16 Correct 368 ms 80148 KB Output is correct
17 Correct 27 ms 37848 KB Output is correct
18 Correct 25 ms 37828 KB Output is correct
19 Correct 29 ms 37796 KB Output is correct
20 Correct 26 ms 37836 KB Output is correct
21 Correct 22 ms 37888 KB Output is correct
22 Correct 22 ms 37800 KB Output is correct
23 Correct 903 ms 126808 KB Output is correct
24 Correct 21 ms 37836 KB Output is correct
25 Correct 25 ms 38424 KB Output is correct
26 Correct 29 ms 38844 KB Output is correct
27 Correct 31 ms 39188 KB Output is correct
28 Correct 321 ms 73532 KB Output is correct
29 Correct 492 ms 91248 KB Output is correct
30 Correct 699 ms 109180 KB Output is correct
31 Correct 929 ms 126824 KB Output is correct
32 Correct 22 ms 37836 KB Output is correct
33 Correct 22 ms 37836 KB Output is correct
34 Correct 23 ms 37836 KB Output is correct
35 Correct 23 ms 37836 KB Output is correct
36 Correct 22 ms 37816 KB Output is correct
37 Correct 23 ms 37836 KB Output is correct
38 Correct 23 ms 37964 KB Output is correct
39 Correct 22 ms 37840 KB Output is correct
40 Correct 27 ms 37836 KB Output is correct
41 Correct 23 ms 37808 KB Output is correct
42 Correct 21 ms 37836 KB Output is correct
43 Correct 25 ms 38420 KB Output is correct
44 Correct 27 ms 38732 KB Output is correct
45 Correct 341 ms 73684 KB Output is correct
46 Correct 487 ms 89908 KB Output is correct
47 Correct 490 ms 89940 KB Output is correct
48 Correct 22 ms 37776 KB Output is correct
49 Correct 24 ms 37784 KB Output is correct
50 Correct 25 ms 37848 KB Output is correct
51 Correct 23 ms 37844 KB Output is correct
52 Correct 23 ms 37808 KB Output is correct
53 Correct 24 ms 37852 KB Output is correct
54 Correct 24 ms 37808 KB Output is correct
55 Incorrect 816 ms 113296 KB Solution announced impossible, but it is possible.
56 Halted 0 ms 0 KB -