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Submission #297875

# Submission time Handle Problem Language Result Execution time Memory
297875 2020-09-12T05:52:59 Z tmwilliamlin168 Swapping Cities (APIO20_swap) C++14
100 / 100
 572 ms 35048 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

#define ar array

const int mxN=1e5;
int a[mxN], r[mxN], d[mxN], anc[mxN][17], b[mxN][17];
vector<ar<int, 2>> adj[mxN];
vector<int> adj2[mxN];

int find(int x) {
	return x^r[x]?r[x]=find(r[x]):x;
}

void dfs2(int u, int w) {
	a[u]=min(w, a[u]);
	for(int v : adj2[u])
		dfs2(v, w);
	adj2[u].clear();
}

bool join(int x, int y, int w) {
	if((x=find(x))==(y=find(y)))
		return 0;
	r[x]=y;
	if(a[y]<=1e9)
		dfs2(x, w);
	if(a[x]<=1e9)
		dfs2(y, w);
	adj2[y].push_back(x);
	return 1;
}

void dfs(int u=0, int p=-1) {
	anc[u][0]=p;
	for(int i=1; i<17; ++i) {
		anc[u][i]=~anc[u][i-1]?anc[anc[u][i-1]][i-1]:-1;
		b[u][i]=~anc[u][i-1]?max(b[u][i-1], b[anc[u][i-1]][i-1]):0;
	}
	for(auto v : adj[u]) {
		if(v[1]^p) {
			b[v[1]][0]=v[0];
			d[v[1]]=d[u]+1;
			dfs(v[1], u);
		}
	}
}

int qry(int x, int y) {
	if(d[x]<d[y])
		swap(x, y);
	int r=0;
	for(int i=16; ~i; --i) {
		if(d[x]-(1<<i)>=d[y]) {
			r=max(b[x][i], r);
			x=anc[x][i];
		}
	}
	if(x==y)
		return r;
	for(int i=16; ~i; --i) {
		if(anc[x][i]^anc[y][i]) {
			r=max({b[x][i], b[y][i], r});
			x=anc[x][i];
			y=anc[y][i];
		}
	}
	return max({b[x][0], b[y][0], r});
}

void init(int n, int m, vector<int> u, vector<int> v, vector<int> w) {
	vector<ar<int, 3>> e;
	for(int i=0; i<m; ++i)
		e.push_back({w[i], u[i], v[i]});
	sort(e.begin(), e.end());
	memset(a, 0x3f, 4*n);
	iota(r, r+n, 0);
	for(auto f : e) {
		if(join(f[1], f[2], f[0])) {
			adj[f[1]].push_back({f[0], f[2]});
			adj[f[2]].push_back({f[0], f[1]});
			if(adj[f[1]].size()>2||adj[f[2]].size()>2)
				dfs2(find(f[1]), f[0]);
		} else
			dfs2(find(f[1]), f[0]);
	}
	dfs();
}

int getMinimumFuelCapacity(int x, int y) {
	int b=max(qry(x, y), a[x]);
	return b>1e9?-1:b;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 5 ms 5248 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 4 ms 5248 KB Output is correct
8 Correct 4 ms 5248 KB Output is correct
9 Correct 159 ms 25196 KB Output is correct
10 Correct 191 ms 30444 KB Output is correct
11 Correct 197 ms 29676 KB Output is correct
12 Correct 203 ms 31340 KB Output is correct
13 Correct 190 ms 32420 KB Output is correct
14 Correct 174 ms 24944 KB Output is correct
15 Correct 478 ms 31964 KB Output is correct
16 Correct 461 ms 30444 KB Output is correct
17 Correct 454 ms 33900 KB Output is correct
18 Correct 448 ms 33132 KB Output is correct
19 Correct 120 ms 12668 KB Output is correct
20 Correct 467 ms 32128 KB Output is correct
21 Correct 472 ms 30756 KB Output is correct
22 Correct 491 ms 33080 KB Output is correct
23 Correct 460 ms 33456 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 259 ms 30644 KB Output is correct
4 Correct 259 ms 31676 KB Output is correct
5 Correct 275 ms 31232 KB Output is correct
6 Correct 272 ms 31552 KB Output is correct
7 Correct 262 ms 31464 KB Output is correct
8 Correct 261 ms 30668 KB Output is correct
9 Correct 259 ms 31216 KB Output is correct
10 Correct 281 ms 30308 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 4 ms 5248 KB Output is correct
9 Correct 4 ms 5248 KB Output is correct
10 Correct 4 ms 5248 KB Output is correct
11 Correct 5 ms 5248 KB Output is correct
12 Correct 4 ms 5248 KB Output is correct
13 Correct 5 ms 5248 KB Output is correct
14 Correct 4 ms 5248 KB Output is correct
15 Correct 5 ms 5248 KB Output is correct
16 Correct 4 ms 5248 KB Output is correct
17 Correct 5 ms 5248 KB Output is correct
18 Correct 4 ms 5248 KB Output is correct
19 Correct 4 ms 5248 KB Output is correct
20 Correct 5 ms 5248 KB Output is correct
21 Correct 4 ms 5248 KB Output is correct
22 Correct 5 ms 5120 KB Output is correct
23 Correct 5 ms 5248 KB Output is correct
24 Correct 5 ms 5248 KB Output is correct
25 Correct 5 ms 5248 KB Output is correct
26 Correct 5 ms 5376 KB Output is correct
27 Correct 5 ms 5248 KB Output is correct
28 Correct 5 ms 5248 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 4 ms 5248 KB Output is correct
9 Correct 4 ms 5248 KB Output is correct
10 Correct 159 ms 25196 KB Output is correct
11 Correct 191 ms 30444 KB Output is correct
12 Correct 197 ms 29676 KB Output is correct
13 Correct 203 ms 31340 KB Output is correct
14 Correct 190 ms 32420 KB Output is correct
15 Correct 4 ms 5248 KB Output is correct
16 Correct 5 ms 5248 KB Output is correct
17 Correct 4 ms 5248 KB Output is correct
18 Correct 5 ms 5248 KB Output is correct
19 Correct 4 ms 5248 KB Output is correct
20 Correct 5 ms 5248 KB Output is correct
21 Correct 4 ms 5248 KB Output is correct
22 Correct 5 ms 5248 KB Output is correct
23 Correct 4 ms 5248 KB Output is correct
24 Correct 18 ms 8148 KB Output is correct
25 Correct 211 ms 31084 KB Output is correct
26 Correct 210 ms 29548 KB Output is correct
27 Correct 194 ms 28296 KB Output is correct
28 Correct 197 ms 27880 KB Output is correct
29 Correct 186 ms 27500 KB Output is correct
30 Correct 164 ms 25708 KB Output is correct
31 Correct 212 ms 29932 KB Output is correct
32 Correct 219 ms 30572 KB Output is correct
33 Correct 174 ms 31340 KB Output is correct
34 Correct 187 ms 28372 KB Output is correct
35 Correct 4 ms 5248 KB Output is correct
36 Correct 5 ms 5248 KB Output is correct
37 Correct 4 ms 5248 KB Output is correct
38 Correct 5 ms 5120 KB Output is correct
39 Correct 5 ms 5248 KB Output is correct
40 Correct 5 ms 5248 KB Output is correct
41 Correct 5 ms 5248 KB Output is correct
42 Correct 5 ms 5376 KB Output is correct
43 Correct 5 ms 5248 KB Output is correct
44 Correct 5 ms 5248 KB Output is correct
45 Correct 181 ms 25700 KB Output is correct
46 Correct 204 ms 28908 KB Output is correct
47 Correct 195 ms 27756 KB Output is correct
48 Correct 172 ms 27884 KB Output is correct
49 Correct 91 ms 12012 KB Output is correct
50 Correct 80 ms 10732 KB Output is correct
51 Correct 162 ms 22148 KB Output is correct
52 Correct 242 ms 31076 KB Output is correct
53 Correct 238 ms 31716 KB Output is correct
54 Correct 278 ms 33528 KB Output is correct
55 Correct 176 ms 32108 KB Output is correct
56 Correct 239 ms 30724 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 5 ms 5248 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 4 ms 5248 KB Output is correct
8 Correct 4 ms 5248 KB Output is correct
9 Correct 159 ms 25196 KB Output is correct
10 Correct 191 ms 30444 KB Output is correct
11 Correct 197 ms 29676 KB Output is correct
12 Correct 203 ms 31340 KB Output is correct
13 Correct 190 ms 32420 KB Output is correct
14 Correct 174 ms 24944 KB Output is correct
15 Correct 478 ms 31964 KB Output is correct
16 Correct 461 ms 30444 KB Output is correct
17 Correct 454 ms 33900 KB Output is correct
18 Correct 448 ms 33132 KB Output is correct
19 Correct 259 ms 30644 KB Output is correct
20 Correct 259 ms 31676 KB Output is correct
21 Correct 275 ms 31232 KB Output is correct
22 Correct 272 ms 31552 KB Output is correct
23 Correct 262 ms 31464 KB Output is correct
24 Correct 261 ms 30668 KB Output is correct
25 Correct 259 ms 31216 KB Output is correct
26 Correct 281 ms 30308 KB Output is correct
27 Correct 4 ms 5248 KB Output is correct
28 Correct 5 ms 5248 KB Output is correct
29 Correct 4 ms 5248 KB Output is correct
30 Correct 5 ms 5248 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 5 ms 5248 KB Output is correct
33 Correct 4 ms 5248 KB Output is correct
34 Correct 5 ms 5248 KB Output is correct
35 Correct 4 ms 5248 KB Output is correct
36 Correct 18 ms 8148 KB Output is correct
37 Correct 211 ms 31084 KB Output is correct
38 Correct 210 ms 29548 KB Output is correct
39 Correct 194 ms 28296 KB Output is correct
40 Correct 197 ms 27880 KB Output is correct
41 Correct 186 ms 27500 KB Output is correct
42 Correct 164 ms 25708 KB Output is correct
43 Correct 212 ms 29932 KB Output is correct
44 Correct 219 ms 30572 KB Output is correct
45 Correct 174 ms 31340 KB Output is correct
46 Correct 187 ms 28372 KB Output is correct
47 Correct 29 ms 8200 KB Output is correct
48 Correct 516 ms 31464 KB Output is correct
49 Correct 487 ms 30572 KB Output is correct
50 Correct 460 ms 30060 KB Output is correct
51 Correct 476 ms 29548 KB Output is correct
52 Correct 427 ms 28012 KB Output is correct
53 Correct 309 ms 23248 KB Output is correct
54 Correct 545 ms 31544 KB Output is correct
55 Correct 523 ms 31852 KB Output is correct
56 Correct 440 ms 33260 KB Output is correct
57 Correct 402 ms 30300 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 4 ms 5248 KB Output is correct
9 Correct 4 ms 5248 KB Output is correct
10 Correct 159 ms 25196 KB Output is correct
11 Correct 191 ms 30444 KB Output is correct
12 Correct 197 ms 29676 KB Output is correct
13 Correct 203 ms 31340 KB Output is correct
14 Correct 190 ms 32420 KB Output is correct
15 Correct 174 ms 24944 KB Output is correct
16 Correct 478 ms 31964 KB Output is correct
17 Correct 461 ms 30444 KB Output is correct
18 Correct 454 ms 33900 KB Output is correct
19 Correct 448 ms 33132 KB Output is correct
20 Correct 259 ms 30644 KB Output is correct
21 Correct 259 ms 31676 KB Output is correct
22 Correct 275 ms 31232 KB Output is correct
23 Correct 272 ms 31552 KB Output is correct
24 Correct 262 ms 31464 KB Output is correct
25 Correct 261 ms 30668 KB Output is correct
26 Correct 259 ms 31216 KB Output is correct
27 Correct 281 ms 30308 KB Output is correct
28 Correct 4 ms 5248 KB Output is correct
29 Correct 5 ms 5248 KB Output is correct
30 Correct 4 ms 5248 KB Output is correct
31 Correct 5 ms 5248 KB Output is correct
32 Correct 4 ms 5248 KB Output is correct
33 Correct 5 ms 5248 KB Output is correct
34 Correct 4 ms 5248 KB Output is correct
35 Correct 5 ms 5248 KB Output is correct
36 Correct 4 ms 5248 KB Output is correct
37 Correct 18 ms 8148 KB Output is correct
38 Correct 211 ms 31084 KB Output is correct
39 Correct 210 ms 29548 KB Output is correct
40 Correct 194 ms 28296 KB Output is correct
41 Correct 197 ms 27880 KB Output is correct
42 Correct 186 ms 27500 KB Output is correct
43 Correct 164 ms 25708 KB Output is correct
44 Correct 212 ms 29932 KB Output is correct
45 Correct 219 ms 30572 KB Output is correct
46 Correct 174 ms 31340 KB Output is correct
47 Correct 187 ms 28372 KB Output is correct
48 Correct 29 ms 8200 KB Output is correct
49 Correct 516 ms 31464 KB Output is correct
50 Correct 487 ms 30572 KB Output is correct
51 Correct 460 ms 30060 KB Output is correct
52 Correct 476 ms 29548 KB Output is correct
53 Correct 427 ms 28012 KB Output is correct
54 Correct 309 ms 23248 KB Output is correct
55 Correct 545 ms 31544 KB Output is correct
56 Correct 523 ms 31852 KB Output is correct
57 Correct 440 ms 33260 KB Output is correct
58 Correct 402 ms 30300 KB Output is correct
59 Correct 120 ms 12668 KB Output is correct
60 Correct 467 ms 32128 KB Output is correct
61 Correct 472 ms 30756 KB Output is correct
62 Correct 491 ms 33080 KB Output is correct
63 Correct 460 ms 33456 KB Output is correct
64 Correct 4 ms 5248 KB Output is correct
65 Correct 5 ms 5248 KB Output is correct
66 Correct 4 ms 5248 KB Output is correct
67 Correct 5 ms 5120 KB Output is correct
68 Correct 5 ms 5248 KB Output is correct
69 Correct 5 ms 5248 KB Output is correct
70 Correct 5 ms 5248 KB Output is correct
71 Correct 5 ms 5376 KB Output is correct
72 Correct 5 ms 5248 KB Output is correct
73 Correct 5 ms 5248 KB Output is correct
74 Correct 181 ms 25700 KB Output is correct
75 Correct 204 ms 28908 KB Output is correct
76 Correct 195 ms 27756 KB Output is correct
77 Correct 172 ms 27884 KB Output is correct
78 Correct 91 ms 12012 KB Output is correct
79 Correct 80 ms 10732 KB Output is correct
80 Correct 162 ms 22148 KB Output is correct
81 Correct 242 ms 31076 KB Output is correct
82 Correct 238 ms 31716 KB Output is correct
83 Correct 278 ms 33528 KB Output is correct
84 Correct 176 ms 32108 KB Output is correct
85 Correct 239 ms 30724 KB Output is correct
86 Correct 94 ms 13340 KB Output is correct
87 Correct 508 ms 30316 KB Output is correct
88 Correct 507 ms 30424 KB Output is correct
89 Correct 352 ms 28140 KB Output is correct
90 Correct 199 ms 13676 KB Output is correct
91 Correct 218 ms 14152 KB Output is correct
92 Correct 323 ms 23528 KB Output is correct
93 Correct 540 ms 32740 KB Output is correct
94 Correct 439 ms 33000 KB Output is correct
95 Correct 572 ms 35048 KB Output is correct
96 Correct 457 ms 32108 KB Output is correct
97 Correct 395 ms 31016 KB Output is correct