oj.uz

Submission #589575

# Submission time Handle Problem Language Result Execution time Memory
589575 2022-07-04T21:39:47 Z farhan132 Split the Attractions (IOI19_split) C++17
100 / 100
 188 ms 29444 KB 
#include "split.h"
#include <bits/stdc++.h>
 
using namespace std;
 
typedef int ll;
typedef pair<ll , ll> ii;
 
#define ff first
#define ss second
#define pb push_back
#define in insert

const ll N = 2e5 + 5;

ll n;

struct DSU{
	ll par[N], sz[N];
	void start(){
		for(ll i = 0; i < N; i++){
			par[i] = i; sz[i] = 1;
		}
		return;
	}
	ll find(ll a){
		if(a == par[a]) return par[a];
		return par[a] = find(par[a]);
	}
	void merge(ll x, ll y){
		x = find(x); y = find(y);
		if(x == y) return;
		if(sz[x] > sz[y]) swap(x, y);
		sz[y] += sz[x];
		par[x] = y;
		return;
	}
};

vector < ll > v[N], g[N];
ll sub[N];
ll up,down;

void dfs(ll s, ll p){
	sub[s] = 1;
	for(auto u : v[s]){
		if(u - p){
			dfs(u, s);
			sub[s] += sub[u];
		}
	}
	return;
}
ll centroid(ll s, ll p){
	for(auto u : v[s]){
		if(u - p){
			if(sub[u] > n/2){
				return centroid(u, s);
			}
		}
	}
	return s;
}
vector < ll > res;
ll cen;

void color(ll s, ll &rem, ll col){
	if(s == cen || res[s] == col) return;
	if(rem == 0) return;
	res[s] = col; rem--;
	for(auto u : v[s]){
			color(u, rem, col);
	}
	return;
}
ll wut[N];

void full(ll s, ll p, ll x){
	wut[s] = x;
	for(auto u : v[s]){
		if(u - p){
			full(u, s, x);
		}
	}
}

vector<int> find_split(int _n, int a, int b, int c, vector<int> p, vector<int> q) {
	vector < ii > all;
	all.pb({a, 1});
	all.pb({b, 2});
	all.pb({c, 3});
	sort(all.begin(), all.end());
	down = all[0].ff; up = all[1].ff; n = _n;

	ll m = p.size();

	vector < ii > extra;

	DSU T; T.start();

	for(ll i = 0; i < m; i++){
		ll x = p[i], y = q[i];
		g[x].pb(y);
		g[y].pb(x);
		if(T.find(x) == T.find(y)){
			extra.pb({x, y});
			continue;
		}
		T.merge(x, y);
		v[x].pb(y);
		v[y].pb(x);
	}
	res.resize(n, 0);

	dfs(0, -1);
	cen = centroid(0, -1);
	dfs(cen, -1);
	ll f = -1;
	for(auto u : v[cen]){
		if(sub[u] >= down){
			f = u;
			break;
		}
	}
	if(f != -1){
		res.resize(0);
		res.resize(n, all[2].ss);

		color(f, down, all[0].ss);

		up--;
		res[cen] = all[1].ss;
		for(auto u : v[cen]){
			if(u == f) continue;
			color(u, up, all[1].ss);
		}
		return res;
	}

	DSU final;

	final.start();

	for(auto u : v[cen]){
		final.sz[u] = sub[u];
		full(u, cen, u);
	}
	vector < ii > last_hope;
	for(auto [x, y] : extra){
		if(x == cen || y == cen) continue;
		if(final.find(wut[x]) == final.find(wut[y])) continue;
		ll X = final.find(wut[x]); ll Y = final.find(wut[y]);
		if(final.sz[X] + final.sz[Y] > n/2){
			 last_hope.pb({x, y}); continue;
		}
		ll kk = final.sz[X] + final.sz[Y];
		final.merge(X, Y);
		v[x].pb(y);
		v[y].pb(x);
		//assert(final.sz[final.find(wut[x])] == kk && kk == final.sz[final.find(wut[y])]);
 	}
 	f = -1;
 	for(auto u : v[cen]){
		if(final.sz[final.find(u)] >= down){
			f = u;
			break;
		}
	}
	if(f != -1){
		res.resize(0);
		res.resize(n, all[2].ss);

		color(f, down, all[0].ss);
		up--;
		res[cen] = all[1].ss;
		for(auto u : v[cen]){
			if(final.find(u) == final.find(f)) continue;
			color(u, up, all[1].ss);
		}
		return res;
	}

	for(auto [x, y] : last_hope){
		ll X = final.find(wut[x]); ll Y = final.find(wut[y]);
		if(n - final.sz[X] + final.sz[Y] >= all[1].ff){
			final.merge(X, Y);
			v[x].pb(y);
			v[y].pb(x);
			break;
		}
	}
	f = -1;
 	for(auto u : v[cen]){
		if(final.sz[final.find(u)] >= down){
			f = u;
			break;
		}
	}
	if(f != -1){
		res.resize(0);
		res.resize(n, all[2].ss);

		color(f, down, all[0].ss);

		up--;
		res[cen] = all[1].ss;
		for(auto u : v[cen]){
			if(final.find(u) == final.find(f)) continue;
			color(u, up, all[1].ss);
		}
		return res;
	}

	return res;
}

Compilation message

split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:156:6: warning: unused variable 'kk' [-Wunused-variable]
  156 |   ll kk = final.sz[X] + final.sz[Y];
      |      ^~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12756 KB ok, correct split
2 Correct 6 ms 12756 KB ok, correct split
3 Correct 6 ms 12804 KB ok, correct split
4 Correct 7 ms 12808 KB ok, correct split
5 Correct 7 ms 12756 KB ok, correct split
6 Correct 6 ms 12756 KB ok, correct split
7 Correct 137 ms 29444 KB ok, correct split
8 Correct 146 ms 26928 KB ok, correct split
9 Correct 121 ms 26232 KB ok, correct split
10 Correct 118 ms 29440 KB ok, correct split
11 Correct 127 ms 28108 KB ok, correct split

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12756 KB ok, correct split
2 Correct 7 ms 12756 KB ok, correct split
3 Correct 6 ms 12756 KB ok, correct split
4 Correct 120 ms 23264 KB ok, correct split
5 Correct 107 ms 22148 KB ok, correct split
6 Correct 155 ms 29260 KB ok, correct split
7 Correct 133 ms 26748 KB ok, correct split
8 Correct 143 ms 24752 KB ok, correct split
9 Correct 151 ms 21832 KB ok, correct split
10 Correct 68 ms 22512 KB ok, correct split
11 Correct 72 ms 22500 KB ok, correct split
12 Correct 87 ms 22500 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12756 KB ok, correct split
2 Correct 99 ms 22024 KB ok, correct split
3 Correct 32 ms 16508 KB ok, correct split
4 Correct 7 ms 12756 KB ok, correct split
5 Correct 126 ms 24448 KB ok, correct split
6 Correct 148 ms 24076 KB ok, correct split
7 Correct 123 ms 24056 KB ok, correct split
8 Correct 133 ms 25284 KB ok, correct split
9 Correct 124 ms 24176 KB ok, correct split
10 Correct 41 ms 16000 KB ok, no valid answer
11 Correct 41 ms 17628 KB ok, no valid answer
12 Correct 84 ms 22784 KB ok, no valid answer
13 Correct 106 ms 22508 KB ok, no valid answer
14 Correct 83 ms 23020 KB ok, no valid answer

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12756 KB ok, correct split
2 Correct 6 ms 12880 KB ok, no valid answer
3 Correct 7 ms 12756 KB ok, correct split
4 Correct 6 ms 12756 KB ok, correct split
5 Correct 6 ms 12756 KB ok, correct split
6 Correct 7 ms 12816 KB ok, correct split
7 Correct 6 ms 12756 KB ok, correct split
8 Correct 6 ms 12836 KB ok, correct split
9 Correct 9 ms 13140 KB ok, correct split
10 Correct 10 ms 13096 KB ok, correct split
11 Correct 6 ms 12756 KB ok, correct split
12 Correct 9 ms 13140 KB ok, correct split
13 Correct 7 ms 12832 KB ok, correct split
14 Correct 7 ms 12756 KB ok, correct split
15 Correct 7 ms 12780 KB ok, correct split
16 Correct 7 ms 12780 KB ok, correct split
17 Correct 8 ms 12780 KB ok, correct split
18 Correct 7 ms 12780 KB ok, correct split
19 Correct 7 ms 12816 KB ok, correct split
20 Correct 7 ms 12916 KB ok, correct split
21 Correct 8 ms 13048 KB ok, correct split
22 Correct 9 ms 13140 KB ok, correct split
23 Correct 10 ms 13148 KB ok, correct split
24 Correct 8 ms 13140 KB ok, correct split
25 Correct 8 ms 13140 KB ok, correct split
26 Correct 9 ms 13140 KB ok, correct split
27 Correct 9 ms 13188 KB ok, correct split
28 Correct 8 ms 13140 KB ok, correct split
29 Correct 8 ms 12884 KB ok, correct split
30 Correct 8 ms 13140 KB ok, correct split
31 Correct 10 ms 12884 KB ok, correct split
32 Correct 8 ms 12780 KB ok, correct split
33 Correct 7 ms 12884 KB ok, correct split
34 Correct 17 ms 13048 KB ok, correct split
35 Correct 9 ms 13052 KB ok, correct split
36 Correct 9 ms 13012 KB ok, correct split
37 Correct 9 ms 13140 KB ok, correct split
38 Correct 10 ms 13176 KB ok, correct split
39 Correct 9 ms 13156 KB ok, correct split
40 Correct 10 ms 13140 KB ok, correct split
41 Correct 9 ms 12920 KB ok, correct split
42 Correct 9 ms 13012 KB ok, correct split
43 Correct 9 ms 13140 KB ok, correct split
44 Correct 9 ms 13172 KB ok, correct split
45 Correct 8 ms 13140 KB ok, correct split
46 Correct 9 ms 13140 KB ok, correct split
47 Correct 9 ms 13052 KB ok, no valid answer
48 Correct 8 ms 13012 KB ok, correct split
49 Correct 9 ms 13140 KB ok, correct split
50 Correct 7 ms 12776 KB ok, no valid answer
51 Correct 7 ms 12788 KB ok, no valid answer
52 Correct 9 ms 13044 KB ok, no valid answer
53 Correct 9 ms 13172 KB ok, no valid answer
54 Correct 9 ms 13012 KB ok, no valid answer
55 Correct 10 ms 13172 KB ok, no valid answer
56 Correct 9 ms 13052 KB ok, no valid answer

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12756 KB ok, correct split
2 Correct 6 ms 12756 KB ok, correct split
3 Correct 6 ms 12804 KB ok, correct split
4 Correct 7 ms 12808 KB ok, correct split
5 Correct 7 ms 12756 KB ok, correct split
6 Correct 6 ms 12756 KB ok, correct split
7 Correct 137 ms 29444 KB ok, correct split
8 Correct 146 ms 26928 KB ok, correct split
9 Correct 121 ms 26232 KB ok, correct split
10 Correct 118 ms 29440 KB ok, correct split
11 Correct 127 ms 28108 KB ok, correct split
12 Correct 7 ms 12756 KB ok, correct split
13 Correct 7 ms 12756 KB ok, correct split
14 Correct 6 ms 12756 KB ok, correct split
15 Correct 120 ms 23264 KB ok, correct split
16 Correct 107 ms 22148 KB ok, correct split
17 Correct 155 ms 29260 KB ok, correct split
18 Correct 133 ms 26748 KB ok, correct split
19 Correct 143 ms 24752 KB ok, correct split
20 Correct 151 ms 21832 KB ok, correct split
21 Correct 68 ms 22512 KB ok, correct split
22 Correct 72 ms 22500 KB ok, correct split
23 Correct 87 ms 22500 KB ok, correct split
24 Correct 7 ms 12756 KB ok, correct split
25 Correct 99 ms 22024 KB ok, correct split
26 Correct 32 ms 16508 KB ok, correct split
27 Correct 7 ms 12756 KB ok, correct split
28 Correct 126 ms 24448 KB ok, correct split
29 Correct 148 ms 24076 KB ok, correct split
30 Correct 123 ms 24056 KB ok, correct split
31 Correct 133 ms 25284 KB ok, correct split
32 Correct 124 ms 24176 KB ok, correct split
33 Correct 41 ms 16000 KB ok, no valid answer
34 Correct 41 ms 17628 KB ok, no valid answer
35 Correct 84 ms 22784 KB ok, no valid answer
36 Correct 106 ms 22508 KB ok, no valid answer
37 Correct 83 ms 23020 KB ok, no valid answer
38 Correct 7 ms 12756 KB ok, correct split
39 Correct 6 ms 12880 KB ok, no valid answer
40 Correct 7 ms 12756 KB ok, correct split
41 Correct 6 ms 12756 KB ok, correct split
42 Correct 6 ms 12756 KB ok, correct split
43 Correct 7 ms 12816 KB ok, correct split
44 Correct 6 ms 12756 KB ok, correct split
45 Correct 6 ms 12836 KB ok, correct split
46 Correct 9 ms 13140 KB ok, correct split
47 Correct 10 ms 13096 KB ok, correct split
48 Correct 6 ms 12756 KB ok, correct split
49 Correct 9 ms 13140 KB ok, correct split
50 Correct 7 ms 12832 KB ok, correct split
51 Correct 7 ms 12756 KB ok, correct split
52 Correct 7 ms 12780 KB ok, correct split
53 Correct 7 ms 12780 KB ok, correct split
54 Correct 8 ms 12780 KB ok, correct split
55 Correct 7 ms 12780 KB ok, correct split
56 Correct 7 ms 12816 KB ok, correct split
57 Correct 7 ms 12916 KB ok, correct split
58 Correct 8 ms 13048 KB ok, correct split
59 Correct 9 ms 13140 KB ok, correct split
60 Correct 10 ms 13148 KB ok, correct split
61 Correct 8 ms 13140 KB ok, correct split
62 Correct 8 ms 13140 KB ok, correct split
63 Correct 9 ms 13140 KB ok, correct split
64 Correct 9 ms 13188 KB ok, correct split
65 Correct 8 ms 13140 KB ok, correct split
66 Correct 8 ms 12884 KB ok, correct split
67 Correct 8 ms 13140 KB ok, correct split
68 Correct 10 ms 12884 KB ok, correct split
69 Correct 8 ms 12780 KB ok, correct split
70 Correct 7 ms 12884 KB ok, correct split
71 Correct 17 ms 13048 KB ok, correct split
72 Correct 9 ms 13052 KB ok, correct split
73 Correct 9 ms 13012 KB ok, correct split
74 Correct 9 ms 13140 KB ok, correct split
75 Correct 10 ms 13176 KB ok, correct split
76 Correct 9 ms 13156 KB ok, correct split
77 Correct 10 ms 13140 KB ok, correct split
78 Correct 9 ms 12920 KB ok, correct split
79 Correct 9 ms 13012 KB ok, correct split
80 Correct 9 ms 13140 KB ok, correct split
81 Correct 9 ms 13172 KB ok, correct split
82 Correct 8 ms 13140 KB ok, correct split
83 Correct 9 ms 13140 KB ok, correct split
84 Correct 9 ms 13052 KB ok, no valid answer
85 Correct 8 ms 13012 KB ok, correct split
86 Correct 9 ms 13140 KB ok, correct split
87 Correct 7 ms 12776 KB ok, no valid answer
88 Correct 7 ms 12788 KB ok, no valid answer
89 Correct 9 ms 13044 KB ok, no valid answer
90 Correct 9 ms 13172 KB ok, no valid answer
91 Correct 9 ms 13012 KB ok, no valid answer
92 Correct 10 ms 13172 KB ok, no valid answer
93 Correct 9 ms 13052 KB ok, no valid answer
94 Correct 133 ms 23912 KB ok, correct split
95 Correct 151 ms 27444 KB ok, correct split
96 Correct 143 ms 26788 KB ok, correct split
97 Correct 36 ms 16936 KB ok, correct split
98 Correct 44 ms 17100 KB ok, correct split
99 Correct 49 ms 19308 KB ok, correct split
100 Correct 141 ms 27520 KB ok, correct split
101 Correct 153 ms 26100 KB ok, correct split
102 Correct 161 ms 26368 KB ok, correct split
103 Correct 134 ms 26068 KB ok, correct split
104 Correct 142 ms 28264 KB ok, correct split
105 Correct 60 ms 19232 KB ok, correct split
106 Correct 104 ms 27596 KB ok, correct split
107 Correct 108 ms 23244 KB ok, correct split
108 Correct 102 ms 23280 KB ok, correct split
109 Correct 157 ms 27052 KB ok, correct split
110 Correct 180 ms 27504 KB ok, correct split
111 Correct 159 ms 27564 KB ok, correct split
112 Correct 176 ms 28140 KB ok, correct split
113 Correct 151 ms 28100 KB ok, correct split
114 Correct 19 ms 14476 KB ok, correct split
115 Correct 17 ms 14332 KB ok, correct split
116 Correct 128 ms 27016 KB ok, correct split
117 Correct 125 ms 26904 KB ok, correct split
118 Correct 115 ms 22988 KB ok, correct split
119 Correct 121 ms 23448 KB ok, correct split
120 Correct 138 ms 26372 KB ok, correct split
121 Correct 129 ms 23544 KB ok, no valid answer
122 Correct 98 ms 23716 KB ok, no valid answer
123 Correct 179 ms 27880 KB ok, no valid answer
124 Correct 188 ms 27852 KB ok, no valid answer
125 Correct 90 ms 25156 KB ok, no valid answer
126 Correct 60 ms 23000 KB ok, no valid answer
127 Correct 114 ms 25940 KB ok, no valid answer