oj.uz

Submission #546037

# Submission time Handle Problem Language Result Execution time Memory
546037 2022-04-06T05:48:17 Z amunduzbaev Swapping Cities (APIO20_swap) C++17
100 / 100
 522 ms 49088 KB 
#include "swap.h"
#include "bits/stdc++.h"
using namespace std;

#ifndef EVAL
#include "grader.cpp"
#endif
#define ar array

const int N = 1e5 + 5;
int par[N][20], mx[N][20];
int tin[N], tout[N], t, is[N];
vector<ar<int, 2>> edges[N];

void dfs(int u, int p = -1){
	for(int j=1;j<20;j++){
		par[u][j] = par[par[u][j-1]][j-1];
		mx[u][j] = max(mx[u][j-1], mx[par[u][j-1]][j-1]);
	}
	
	tin[u] = ++t;
	for(auto x : edges[u]){
		if(x[0] == p) continue;
		par[x[0]][0] = u, mx[x[0]][0] = x[1];
		dfs(x[0], u);
	} tout[u] = t;
}

void init(int n, int m, vector<int> u, vector<int> v, vector<int> w) {
	vector<int> p(m); iota(p.begin(), p.end(), 0);
	sort(p.begin(), p.end(), [&](int i, int j){
		return (w[i] < w[j]);
	});
	
	vector<int> par(n), sz(n, 1), d(n);
	vector<vector<int>> sub(n);
	for(int i=0;i<n;i++){
		par[i] = i;
		sub[i].push_back(i);
	}
	
	auto upd = [&](int a, int c){
		for(auto x : sub[a]) is[x] = c;
		sub[a].clear();
	};
	function<int(int)> f = [&](int x) { return (par[x] == x ? x : par[x] = f(par[x])); };
	auto merge = [&](int a, int b, int c){
		d[a]++, d[b]++;
		bool t = (d[a] >= 3 || d[b] >= 3);
		a = f(a), b = f(b);
		if(a == b){
			upd(a, c);
			return false;
		}
		
		if(sz[a] < sz[b]) swap(a, b);
		par[b] = a, sz[a] += sz[b];
		sub[a].insert(sub[a].end(), sub[b].begin(), sub[b].end());
		
		if(is[a] && is[b]) return true;
		if(!is[a] && !is[b]){
			if(t) upd(a, c);
			return true;
		}
		
		upd(a, c);
		return true;
	};
	
	for(auto i : p){
		if(merge(u[i], v[i], w[i])){
			edges[u[i]].push_back({v[i], w[i]});
			edges[v[i]].push_back({u[i], w[i]});
		}
	}
	
	::par[0][0] = 0;
	dfs(0, -1);
}

bool P(int a, int b) { return (tin[a] <= tin[b] && tout[b] <= tout[a]); }
int lca(int a, int b){
	if(P(a, b)) return a;
	if(P(b, a)) return b;
	for(int j=19;~j;j--){
		if(!P(par[a][j], b)) a = par[a][j];
	} return par[a][0];
}

int getMinimumFuelCapacity(int a, int b) {
	int mx = 0;
	int p = lca(a, b);
	//~ cout<<a<<" "<<b<<" "<<p<<"\n";
	{
		int x = a;
		for(int j=19;~j;j--){
			if(!P(par[x][j], p)){
				mx = max(mx, ::mx[x][j]);
				x = par[x][j];
			}
		} if(x != p) mx = max(mx, ::mx[x][0]);
	}
	{
		int x = b;
		for(int j=19;~j;j--){
			if(!P(par[x][j], p)){
				mx = max(mx, ::mx[x][j]);
				x = par[x][j];
			}
		} if(x != p) mx = max(mx, ::mx[x][0]);
	}
	assert(mx);
	if(!is[a]) return -1;
	return max({mx, is[a], is[b]});
}

/*

5 6
0 1 4 
0 2 4
1 2 1
1 3 2
1 4 10 
2 3 3
3
1 2
2 4
0 1

*/

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2900 KB Output is correct
6 Correct 3 ms 2900 KB Output is correct
7 Correct 3 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 137 ms 31740 KB Output is correct
10 Correct 194 ms 39360 KB Output is correct
11 Correct 179 ms 38168 KB Output is correct
12 Correct 212 ms 40860 KB Output is correct
13 Correct 160 ms 39796 KB Output is correct
14 Correct 175 ms 31124 KB Output is correct
15 Correct 467 ms 41076 KB Output is correct
16 Correct 450 ms 38328 KB Output is correct
17 Correct 432 ms 44068 KB Output is correct
18 Correct 403 ms 39984 KB Output is correct
19 Correct 106 ms 11956 KB Output is correct
20 Correct 522 ms 40744 KB Output is correct
21 Correct 466 ms 38432 KB Output is correct
22 Correct 517 ms 42268 KB Output is correct
23 Correct 399 ms 39936 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 274 ms 32708 KB Output is correct
4 Correct 258 ms 38144 KB Output is correct
5 Correct 265 ms 37160 KB Output is correct
6 Correct 254 ms 37840 KB Output is correct
7 Correct 237 ms 37632 KB Output is correct
8 Correct 252 ms 36232 KB Output is correct
9 Correct 239 ms 37392 KB Output is correct
10 Correct 248 ms 35972 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2900 KB Output is correct
6 Correct 3 ms 2900 KB Output is correct
7 Correct 3 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 2 ms 2924 KB Output is correct
11 Correct 2 ms 2900 KB Output is correct
12 Correct 2 ms 2900 KB Output is correct
13 Correct 2 ms 2900 KB Output is correct
14 Correct 3 ms 2900 KB Output is correct
15 Correct 2 ms 2900 KB Output is correct
16 Correct 4 ms 3028 KB Output is correct
17 Correct 2 ms 3028 KB Output is correct
18 Correct 3 ms 2932 KB Output is correct
19 Correct 3 ms 2900 KB Output is correct
20 Correct 3 ms 3028 KB Output is correct
21 Correct 3 ms 2928 KB Output is correct
22 Correct 3 ms 2772 KB Output is correct
23 Correct 2 ms 2900 KB Output is correct
24 Correct 3 ms 3028 KB Output is correct
25 Correct 3 ms 3028 KB Output is correct
26 Correct 3 ms 3028 KB Output is correct
27 Correct 2 ms 2932 KB Output is correct
28 Correct 3 ms 2928 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2900 KB Output is correct
7 Correct 3 ms 2900 KB Output is correct
8 Correct 3 ms 3028 KB Output is correct
9 Correct 2 ms 3028 KB Output is correct
10 Correct 137 ms 31740 KB Output is correct
11 Correct 194 ms 39360 KB Output is correct
12 Correct 179 ms 38168 KB Output is correct
13 Correct 212 ms 40860 KB Output is correct
14 Correct 160 ms 39796 KB Output is correct
15 Correct 2 ms 2924 KB Output is correct
16 Correct 2 ms 2900 KB Output is correct
17 Correct 2 ms 2900 KB Output is correct
18 Correct 2 ms 2900 KB Output is correct
19 Correct 3 ms 2900 KB Output is correct
20 Correct 2 ms 2900 KB Output is correct
21 Correct 4 ms 3028 KB Output is correct
22 Correct 2 ms 3028 KB Output is correct
23 Correct 3 ms 2932 KB Output is correct
24 Correct 3 ms 2900 KB Output is correct
25 Correct 3 ms 3028 KB Output is correct
26 Correct 3 ms 2928 KB Output is correct
27 Correct 3 ms 2772 KB Output is correct
28 Correct 2 ms 2900 KB Output is correct
29 Correct 3 ms 3028 KB Output is correct
30 Correct 3 ms 3028 KB Output is correct
31 Correct 3 ms 3028 KB Output is correct
32 Correct 2 ms 2932 KB Output is correct
33 Correct 3 ms 2928 KB Output is correct
34 Correct 16 ms 7208 KB Output is correct
35 Correct 190 ms 41832 KB Output is correct
36 Correct 209 ms 38720 KB Output is correct
37 Correct 171 ms 36128 KB Output is correct
38 Correct 174 ms 34772 KB Output is correct
39 Correct 187 ms 33616 KB Output is correct
40 Correct 140 ms 31084 KB Output is correct
41 Correct 192 ms 40680 KB Output is correct
42 Correct 205 ms 41844 KB Output is correct
43 Correct 169 ms 39780 KB Output is correct
44 Correct 176 ms 34808 KB Output is correct
45 Correct 161 ms 31152 KB Output is correct
46 Correct 203 ms 37748 KB Output is correct
47 Correct 173 ms 34516 KB Output is correct
48 Correct 170 ms 34000 KB Output is correct
49 Correct 71 ms 10020 KB Output is correct
50 Correct 58 ms 10212 KB Output is correct
51 Correct 132 ms 26168 KB Output is correct
52 Correct 234 ms 41128 KB Output is correct
53 Correct 197 ms 39052 KB Output is correct
54 Correct 262 ms 45320 KB Output is correct
55 Correct 182 ms 41120 KB Output is correct
56 Correct 202 ms 38088 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2900 KB Output is correct
6 Correct 3 ms 2900 KB Output is correct
7 Correct 3 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 137 ms 31740 KB Output is correct
10 Correct 194 ms 39360 KB Output is correct
11 Correct 179 ms 38168 KB Output is correct
12 Correct 212 ms 40860 KB Output is correct
13 Correct 160 ms 39796 KB Output is correct
14 Correct 175 ms 31124 KB Output is correct
15 Correct 467 ms 41076 KB Output is correct
16 Correct 450 ms 38328 KB Output is correct
17 Correct 432 ms 44068 KB Output is correct
18 Correct 403 ms 39984 KB Output is correct
19 Correct 274 ms 32708 KB Output is correct
20 Correct 258 ms 38144 KB Output is correct
21 Correct 265 ms 37160 KB Output is correct
22 Correct 254 ms 37840 KB Output is correct
23 Correct 237 ms 37632 KB Output is correct
24 Correct 252 ms 36232 KB Output is correct
25 Correct 239 ms 37392 KB Output is correct
26 Correct 248 ms 35972 KB Output is correct
27 Correct 2 ms 2924 KB Output is correct
28 Correct 2 ms 2900 KB Output is correct
29 Correct 2 ms 2900 KB Output is correct
30 Correct 2 ms 2900 KB Output is correct
31 Correct 3 ms 2900 KB Output is correct
32 Correct 2 ms 2900 KB Output is correct
33 Correct 4 ms 3028 KB Output is correct
34 Correct 2 ms 3028 KB Output is correct
35 Correct 3 ms 2932 KB Output is correct
36 Correct 16 ms 7208 KB Output is correct
37 Correct 190 ms 41832 KB Output is correct
38 Correct 209 ms 38720 KB Output is correct
39 Correct 171 ms 36128 KB Output is correct
40 Correct 174 ms 34772 KB Output is correct
41 Correct 187 ms 33616 KB Output is correct
42 Correct 140 ms 31084 KB Output is correct
43 Correct 192 ms 40680 KB Output is correct
44 Correct 205 ms 41844 KB Output is correct
45 Correct 169 ms 39780 KB Output is correct
46 Correct 176 ms 34808 KB Output is correct
47 Correct 28 ms 6996 KB Output is correct
48 Correct 468 ms 44188 KB Output is correct
49 Correct 493 ms 41720 KB Output is correct
50 Correct 454 ms 40172 KB Output is correct
51 Correct 448 ms 38976 KB Output is correct
52 Correct 404 ms 36196 KB Output is correct
53 Correct 278 ms 27692 KB Output is correct
54 Correct 423 ms 43600 KB Output is correct
55 Correct 513 ms 45008 KB Output is correct
56 Correct 453 ms 44300 KB Output is correct
57 Correct 355 ms 38628 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2900 KB Output is correct
7 Correct 3 ms 2900 KB Output is correct
8 Correct 3 ms 3028 KB Output is correct
9 Correct 2 ms 3028 KB Output is correct
10 Correct 137 ms 31740 KB Output is correct
11 Correct 194 ms 39360 KB Output is correct
12 Correct 179 ms 38168 KB Output is correct
13 Correct 212 ms 40860 KB Output is correct
14 Correct 160 ms 39796 KB Output is correct
15 Correct 175 ms 31124 KB Output is correct
16 Correct 467 ms 41076 KB Output is correct
17 Correct 450 ms 38328 KB Output is correct
18 Correct 432 ms 44068 KB Output is correct
19 Correct 403 ms 39984 KB Output is correct
20 Correct 274 ms 32708 KB Output is correct
21 Correct 258 ms 38144 KB Output is correct
22 Correct 265 ms 37160 KB Output is correct
23 Correct 254 ms 37840 KB Output is correct
24 Correct 237 ms 37632 KB Output is correct
25 Correct 252 ms 36232 KB Output is correct
26 Correct 239 ms 37392 KB Output is correct
27 Correct 248 ms 35972 KB Output is correct
28 Correct 2 ms 2924 KB Output is correct
29 Correct 2 ms 2900 KB Output is correct
30 Correct 2 ms 2900 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 3 ms 2900 KB Output is correct
33 Correct 2 ms 2900 KB Output is correct
34 Correct 4 ms 3028 KB Output is correct
35 Correct 2 ms 3028 KB Output is correct
36 Correct 3 ms 2932 KB Output is correct
37 Correct 16 ms 7208 KB Output is correct
38 Correct 190 ms 41832 KB Output is correct
39 Correct 209 ms 38720 KB Output is correct
40 Correct 171 ms 36128 KB Output is correct
41 Correct 174 ms 34772 KB Output is correct
42 Correct 187 ms 33616 KB Output is correct
43 Correct 140 ms 31084 KB Output is correct
44 Correct 192 ms 40680 KB Output is correct
45 Correct 205 ms 41844 KB Output is correct
46 Correct 169 ms 39780 KB Output is correct
47 Correct 176 ms 34808 KB Output is correct
48 Correct 28 ms 6996 KB Output is correct
49 Correct 468 ms 44188 KB Output is correct
50 Correct 493 ms 41720 KB Output is correct
51 Correct 454 ms 40172 KB Output is correct
52 Correct 448 ms 38976 KB Output is correct
53 Correct 404 ms 36196 KB Output is correct
54 Correct 278 ms 27692 KB Output is correct
55 Correct 423 ms 43600 KB Output is correct
56 Correct 513 ms 45008 KB Output is correct
57 Correct 453 ms 44300 KB Output is correct
58 Correct 355 ms 38628 KB Output is correct
59 Correct 106 ms 11956 KB Output is correct
60 Correct 522 ms 40744 KB Output is correct
61 Correct 466 ms 38432 KB Output is correct
62 Correct 517 ms 42268 KB Output is correct
63 Correct 399 ms 39936 KB Output is correct
64 Correct 3 ms 2900 KB Output is correct
65 Correct 3 ms 3028 KB Output is correct
66 Correct 3 ms 2928 KB Output is correct
67 Correct 3 ms 2772 KB Output is correct
68 Correct 2 ms 2900 KB Output is correct
69 Correct 3 ms 3028 KB Output is correct
70 Correct 3 ms 3028 KB Output is correct
71 Correct 3 ms 3028 KB Output is correct
72 Correct 2 ms 2932 KB Output is correct
73 Correct 3 ms 2928 KB Output is correct
74 Correct 161 ms 31152 KB Output is correct
75 Correct 203 ms 37748 KB Output is correct
76 Correct 173 ms 34516 KB Output is correct
77 Correct 170 ms 34000 KB Output is correct
78 Correct 71 ms 10020 KB Output is correct
79 Correct 58 ms 10212 KB Output is correct
80 Correct 132 ms 26168 KB Output is correct
81 Correct 234 ms 41128 KB Output is correct
82 Correct 197 ms 39052 KB Output is correct
83 Correct 262 ms 45320 KB Output is correct
84 Correct 182 ms 41120 KB Output is correct
85 Correct 202 ms 38088 KB Output is correct
86 Correct 88 ms 14504 KB Output is correct
87 Correct 457 ms 41244 KB Output is correct
88 Correct 491 ms 41104 KB Output is correct
89 Correct 307 ms 35916 KB Output is correct
90 Correct 190 ms 13940 KB Output is correct
91 Correct 189 ms 16268 KB Output is correct
92 Correct 282 ms 29844 KB Output is correct
93 Correct 491 ms 45004 KB Output is correct
94 Correct 396 ms 42824 KB Output is correct
95 Correct 516 ms 49088 KB Output is correct
96 Correct 428 ms 42368 KB Output is correct
97 Correct 346 ms 40268 KB Output is correct