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Submission #1106583

# Submission time Handle Problem Language Result Execution time Memory
1106583 2024-10-30T16:53:28 Z Octagons Sphinx's Riddle (IOI24_sphinx) C++17
32 / 100
 777 ms 1864 KB 
#include <bits/stdc++.h>
using namespace std;
#include "sphinx.h"
//#include "grader.cpp"
#define sz(x) int(x.size())
int n, mmo;
int p[255], sz[255], p2[255], sz2[255], idxo = 1;
vector<int> adj57[255], tr[255], bck[255];
int vis[255];
 
int findp2(int u) {
    return p2[u] = (p2[u] == u ? u : findp2(p2[u]));
}
 
bool merge2(int u, int v) {
    u = findp2(u), v = findp2(v);
    if (u == v)return false;
    if (sz2[u] < sz2[v])swap(u, v);
    sz2[u] += sz2[v];
    p2[v] = u;
	return true;
}
 
int findp(int u) {
    return p[u] = (p[u] == u ? u : findp(p[u]));
}
 
void merge(int u, int v) {
    u = findp(u), v = findp(v);
    if (u == v)return;
    if (sz[u] < sz[v])swap(u, v);
    sz[u] += sz[v];
    p[v] = u;
}
 
bool chk(vector<int> v) {
	for (int i = 0; i < n; i++) {
		p2[i] = i;
		sz2[i] = 1;
	}
	int comps = n;
	for (int i = 0; i < n; i++) {
		for (auto &vv : adj57[i]) {
			if (~v[i] && v[i] == v[vv]) {
				comps -= merge2(i, vv);
			} else if (v[i] == -1 && v[vv] == -1 && findp(i) == findp(vv)) {
				comps -= merge2(i, vv);
			}
		}
	}
	int x = perform_experiment(v);
	return (comps > x);
}
 
bool chk2(int u, int v) {
	for (int i = 0; i < n; i++) {
		p2[i] = i;
		sz2[i] = 1;
	}
	int comps = n;
	vector<int> e(n, n);
	e[u] = e[v] = -1;
	for (int i = 0; i < n; i++) {
		for (auto &vv : adj57[i]) {
			if (e[i] == e[vv]) {
				comps -= merge2(i, vv);
			}
		}
	}
	int x = perform_experiment(e);
	return (comps == x);
}
 
void init(int u, int pr) {
	vis[u] = idxo++;
	for (auto &v : adj57[u]) {
		if (v == pr)continue;
		if (vis[v]) {
			if (vis[v] < vis[u])bck[u].push_back(v);
			continue;
		}
		if (chk2(u, v)) {
			merge(u, v);
		}
		init(v, u);
		tr[u].push_back(v);
	}
}
 
void soly(int u, vector<int> vvo) {
	if (mmo != n-1 && mmo != n * (n - 1) / 2) {
		for (auto &i : vvo) {
			vector<int> e(n, n);
			for (int j = 0; j < n; j++) {
				if (findp(j) == i)e[j] = -1;
			}
			e[u] = -1;
			if (chk(e))merge(u, i);
		}
		return;
	}
	if (vvo.empty())return;
	int l = 0, r = int(vvo.size()) - 1, id = -1;
	while (l <= r) {
		int m = (l + r) >> 1;
		vector<int> e(n, n);
		for (int j = 0; j <= m; j++) {
			for (int i = 0; i < n; i++) {
				if (findp(i) == vvo[j])e[i] = -1;
			}
		}
		e[u] = -1;
		if (chk(e)) {
			id = m;
			r = m-1;
		} else {
			l = m+1;
		}
	}
	if (~id) {
		merge(u, vvo[id]);
	} else {
		return;
	}
	if (id == sz(vvo)-1)return;
	vector<int> xx;
	for (int i = id+1; i < sz(vvo); i++) {
		xx.push_back(vvo[i]);
	}
	soly(u, xx);
}
 
void dfs(int u) {
	vector<int> vvo;
	for (auto &v : bck[u]) {
		if (findp(v) != findp(u))vvo.push_back(findp(v));
	}
	sort(vvo.begin(), vvo.end());
	vvo.erase(unique(vvo.begin(), vvo.end()), vvo.end());
	soly(u, vvo);
	for (auto &v : tr[u]) {
		dfs(v);
	}
}
 
std::vector<int> find_colours(int NH, std::vector<int> X, std::vector<int> Y) {
    n = NH;
    vector<int> ret(n, 0);
    for (int i = 0; i < n; i++) {
      p[i] = i;
      sz[i] = 1;
	  adj57[i].clear();
	  tr[i].clear();
	  bck[i].clear();
	  vis[i] = 0;
    }
    for (int i = 0; i < X.size(); i++) {
      int u = X[i], v = Y[i];
      adj57[u].push_back(v);
      adj57[v].push_back(u);
    }
	mmo = X.size();
	init(0, 0);
	dfs(0);
    for (int i = 0; i < n; i++) {
      ret[i] = findp(i);
    }
    return ret;
}

Compilation message

sphinx.cpp: In function 'std::vector<int> find_colours(int, std::vector<int>, std::vector<int>)':
sphinx.cpp:157:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  157 |     for (int i = 0; i < X.size(); i++) {
      |                     ~~^~~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Partially correct 1 ms 336 KB Partially correct

Subtask #1
1.5 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 1
2 Correct 1 ms 336 KB #experiments: 1
3 Partially correct 1 ms 336 KB Partially correct
4 Partially correct 1 ms 336 KB Partially correct

Subtask #2
3.5 / 7.0

# Verdict Execution time Memory Grader output
1 Partially correct 1 ms 336 KB Partially correct
2 Correct 1 ms 336 KB #experiments: 1
3 Correct 1 ms 336 KB #experiments: 1
4 Partially correct 1 ms 336 KB Partially correct
5 Partially correct 1 ms 336 KB Partially correct
6 Partially correct 1 ms 584 KB Partially correct
7 Partially correct 1 ms 336 KB Partially correct
8 Partially correct 1 ms 472 KB Partially correct
9 Partially correct 1 ms 336 KB Partially correct
10 Partially correct 1 ms 472 KB Partially correct
11 Partially correct 1 ms 336 KB Partially correct
12 Partially correct 1 ms 336 KB Partially correct
13 Partially correct 1 ms 504 KB Partially correct
14 Partially correct 2 ms 336 KB Partially correct
15 Partially correct 6 ms 512 KB Partially correct
16 Partially correct 9 ms 756 KB Partially correct
17 Partially correct 10 ms 336 KB Partially correct
18 Partially correct 9 ms 512 KB Partially correct
19 Partially correct 8 ms 592 KB Partially correct
20 Partially correct 8 ms 512 KB Partially correct
21 Partially correct 10 ms 768 KB Partially correct
22 Partially correct 9 ms 592 KB Partially correct
23 Partially correct 13 ms 336 KB Partially correct
24 Partially correct 9 ms 480 KB Partially correct
25 Partially correct 9 ms 484 KB Partially correct
26 Partially correct 2 ms 336 KB Partially correct
27 Partially correct 1 ms 512 KB Partially correct
28 Partially correct 2 ms 336 KB Partially correct
29 Partially correct 3 ms 336 KB Partially correct
30 Partially correct 9 ms 488 KB Partially correct
31 Partially correct 12 ms 504 KB Partially correct
32 Partially correct 23 ms 592 KB Partially correct
33 Partially correct 2 ms 336 KB Partially correct
34 Partially correct 25 ms 336 KB Partially correct

Subtask #3
16.5 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 1
2 Correct 1 ms 336 KB #experiments: 1
3 Partially correct 1 ms 336 KB Partially correct
4 Partially correct 1 ms 336 KB Partially correct
5 Partially correct 1 ms 584 KB Partially correct
6 Partially correct 1 ms 336 KB Partially correct
7 Partially correct 1 ms 472 KB Partially correct
8 Partially correct 1 ms 336 KB Partially correct
9 Partially correct 1 ms 472 KB Partially correct
10 Partially correct 1 ms 336 KB Partially correct
11 Partially correct 1 ms 336 KB Partially correct
12 Partially correct 1 ms 504 KB Partially correct
13 Partially correct 9 ms 336 KB Partially correct
14 Partially correct 8 ms 740 KB Partially correct
15 Partially correct 10 ms 728 KB Partially correct
16 Partially correct 6 ms 508 KB Partially correct
17 Partially correct 7 ms 604 KB Partially correct
18 Partially correct 6 ms 480 KB Partially correct
19 Partially correct 6 ms 336 KB Partially correct
20 Partially correct 7 ms 476 KB Partially correct
21 Partially correct 7 ms 744 KB Partially correct

Subtask #4
10.5 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB #experiments: 1
2 Correct 1 ms 336 KB #experiments: 1
3 Partially correct 1 ms 336 KB Partially correct
4 Partially correct 1 ms 336 KB Partially correct
5 Partially correct 2 ms 336 KB Partially correct
6 Partially correct 6 ms 512 KB Partially correct
7 Partially correct 9 ms 756 KB Partially correct
8 Partially correct 10 ms 336 KB Partially correct
9 Partially correct 9 ms 512 KB Partially correct
10 Partially correct 8 ms 592 KB Partially correct
11 Partially correct 8 ms 512 KB Partially correct
12 Partially correct 10 ms 768 KB Partially correct
13 Partially correct 189 ms 1484 KB Partially correct
14 Partially correct 447 ms 1404 KB Partially correct
15 Partially correct 555 ms 1864 KB Partially correct
16 Partially correct 683 ms 1764 KB Partially correct
17 Partially correct 777 ms 1656 KB Partially correct
18 Partially correct 727 ms 1712 KB Partially correct
19 Partially correct 689 ms 1712 KB Partially correct
20 Partially correct 82 ms 1352 KB Partially correct
21 Partially correct 493 ms 1736 KB Partially correct

Subtask #5
0.0 / 36.0

# Verdict Execution time Memory Grader output
1 Partially correct 1 ms 336 KB Partially correct
2 Correct 1 ms 336 KB #experiments: 1
3 Correct 1 ms 336 KB #experiments: 1
4 Partially correct 1 ms 336 KB Partially correct
5 Partially correct 1 ms 336 KB Partially correct
6 Partially correct 1 ms 584 KB Partially correct
7 Partially correct 1 ms 336 KB Partially correct
8 Partially correct 1 ms 472 KB Partially correct
9 Partially correct 1 ms 336 KB Partially correct
10 Partially correct 1 ms 472 KB Partially correct
11 Partially correct 1 ms 336 KB Partially correct
12 Partially correct 1 ms 336 KB Partially correct
13 Partially correct 1 ms 504 KB Partially correct
14 Partially correct 2 ms 336 KB Partially correct
15 Partially correct 6 ms 512 KB Partially correct
16 Partially correct 9 ms 756 KB Partially correct
17 Partially correct 10 ms 336 KB Partially correct
18 Partially correct 9 ms 512 KB Partially correct
19 Partially correct 8 ms 592 KB Partially correct
20 Partially correct 8 ms 512 KB Partially correct
21 Partially correct 10 ms 768 KB Partially correct
22 Partially correct 9 ms 592 KB Partially correct
23 Partially correct 13 ms 336 KB Partially correct
24 Partially correct 9 ms 480 KB Partially correct
25 Partially correct 9 ms 484 KB Partially correct
26 Partially correct 2 ms 336 KB Partially correct
27 Partially correct 1 ms 512 KB Partially correct
28 Partially correct 2 ms 336 KB Partially correct
29 Partially correct 3 ms 336 KB Partially correct
30 Partially correct 9 ms 488 KB Partially correct
31 Partially correct 12 ms 504 KB Partially correct
32 Partially correct 23 ms 592 KB Partially correct
33 Partially correct 2 ms 336 KB Partially correct
34 Partially correct 25 ms 336 KB Partially correct
35 Partially correct 9 ms 336 KB Partially correct
36 Partially correct 8 ms 740 KB Partially correct
37 Partially correct 10 ms 728 KB Partially correct
38 Partially correct 6 ms 508 KB Partially correct
39 Partially correct 7 ms 604 KB Partially correct
40 Partially correct 6 ms 480 KB Partially correct
41 Partially correct 6 ms 336 KB Partially correct
42 Partially correct 7 ms 476 KB Partially correct
43 Partially correct 7 ms 744 KB Partially correct
44 Partially correct 189 ms 1484 KB Partially correct
45 Partially correct 447 ms 1404 KB Partially correct
46 Partially correct 555 ms 1864 KB Partially correct
47 Partially correct 683 ms 1764 KB Partially correct
48 Partially correct 777 ms 1656 KB Partially correct
49 Partially correct 727 ms 1712 KB Partially correct
50 Partially correct 689 ms 1712 KB Partially correct
51 Partially correct 82 ms 1352 KB Partially correct
52 Partially correct 493 ms 1736 KB Partially correct
53 Partially correct 90 ms 1052 KB Partially correct
54 Partially correct 124 ms 572 KB Partially correct
55 Partially correct 107 ms 600 KB Partially correct
56 Partially correct 124 ms 612 KB Partially correct
57 Incorrect 476 ms 808 KB #experiments reached 2751
58 Halted 0 ms 0 KB -