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Submission #297872

# Submission time Handle Problem Language Result Execution time Memory
297872 2020-09-12T05:47:07 Z tmwilliamlin168 Swapping Cities (APIO20_swap) C++14
100 / 100
 559 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], b1[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;
		b1[u][i]=~anc[u][i-1]?max(b1[u][i-1], b1[anc[u][i-1]][i-1]):0;
	}
	for(auto v : adj[u]) {
		if(v[1]^p) {
			b1[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(b1[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({b1[x][i], b1[y][i], r});
			x=anc[x][i];
			y=anc[y][i];
		}
	}
	return max({b1[x][0], b1[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 5 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 6 ms 5248 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 5 ms 5376 KB Output is correct
9 Correct 153 ms 25204 KB Output is correct
10 Correct 203 ms 30700 KB Output is correct
11 Correct 191 ms 29936 KB Output is correct
12 Correct 207 ms 31596 KB Output is correct
13 Correct 180 ms 32572 KB Output is correct
14 Correct 177 ms 25072 KB Output is correct
15 Correct 479 ms 32236 KB Output is correct
16 Correct 473 ms 30700 KB Output is correct
17 Correct 449 ms 34096 KB Output is correct
18 Correct 433 ms 33256 KB Output is correct
19 Correct 120 ms 12856 KB Output is correct
20 Correct 485 ms 32092 KB Output is correct
21 Correct 480 ms 30940 KB Output is correct
22 Correct 503 ms 33336 KB Output is correct
23 Correct 468 ms 33468 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 256 ms 31048 KB Output is correct
4 Correct 262 ms 31932 KB Output is correct
5 Correct 272 ms 31512 KB Output is correct
6 Correct 259 ms 31900 KB Output is correct
7 Correct 268 ms 31852 KB Output is correct
8 Correct 261 ms 30664 KB Output is correct
9 Correct 260 ms 31532 KB Output is correct
10 Correct 257 ms 30532 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 5 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 6 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 5 ms 5248 KB Output is correct
9 Correct 5 ms 5376 KB Output is correct
10 Correct 5 ms 5248 KB Output is correct
11 Correct 4 ms 5248 KB Output is correct
12 Correct 4 ms 5248 KB Output is correct
13 Correct 4 ms 5248 KB Output is correct
14 Correct 5 ms 5248 KB Output is correct
15 Correct 6 ms 5248 KB Output is correct
16 Correct 5 ms 5248 KB Output is correct
17 Correct 5 ms 5376 KB Output is correct
18 Correct 5 ms 5248 KB Output is correct
19 Correct 6 ms 5248 KB Output is correct
20 Correct 4 ms 5248 KB Output is correct
21 Correct 5 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 5376 KB Output is correct
25 Correct 5 ms 5376 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 5376 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 5 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 6 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 5 ms 5248 KB Output is correct
9 Correct 5 ms 5376 KB Output is correct
10 Correct 153 ms 25204 KB Output is correct
11 Correct 203 ms 30700 KB Output is correct
12 Correct 191 ms 29936 KB Output is correct
13 Correct 207 ms 31596 KB Output is correct
14 Correct 180 ms 32572 KB Output is correct
15 Correct 5 ms 5248 KB Output is correct
16 Correct 4 ms 5248 KB Output is correct
17 Correct 4 ms 5248 KB Output is correct
18 Correct 4 ms 5248 KB Output is correct
19 Correct 5 ms 5248 KB Output is correct
20 Correct 6 ms 5248 KB Output is correct
21 Correct 5 ms 5248 KB Output is correct
22 Correct 5 ms 5376 KB Output is correct
23 Correct 5 ms 5248 KB Output is correct
24 Correct 19 ms 8256 KB Output is correct
25 Correct 213 ms 31212 KB Output is correct
26 Correct 216 ms 29548 KB Output is correct
27 Correct 215 ms 28396 KB Output is correct
28 Correct 219 ms 27884 KB Output is correct
29 Correct 202 ms 27500 KB Output is correct
30 Correct 177 ms 25836 KB Output is correct
31 Correct 234 ms 30060 KB Output is correct
32 Correct 234 ms 30704 KB Output is correct
33 Correct 186 ms 31468 KB Output is correct
34 Correct 189 ms 28396 KB Output is correct
35 Correct 6 ms 5248 KB Output is correct
36 Correct 4 ms 5248 KB Output is correct
37 Correct 5 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 5376 KB Output is correct
41 Correct 5 ms 5376 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 5376 KB Output is correct
45 Correct 185 ms 25828 KB Output is correct
46 Correct 214 ms 28908 KB Output is correct
47 Correct 204 ms 27884 KB Output is correct
48 Correct 180 ms 28044 KB Output is correct
49 Correct 92 ms 12144 KB Output is correct
50 Correct 79 ms 10988 KB Output is correct
51 Correct 153 ms 22252 KB Output is correct
52 Correct 241 ms 31200 KB Output is correct
53 Correct 242 ms 31776 KB Output is correct
54 Correct 284 ms 33640 KB Output is correct
55 Correct 188 ms 32300 KB Output is correct
56 Correct 241 ms 30948 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 4992 KB Output is correct
2 Correct 4 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 6 ms 5248 KB Output is correct
6 Correct 5 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 5 ms 5376 KB Output is correct
9 Correct 153 ms 25204 KB Output is correct
10 Correct 203 ms 30700 KB Output is correct
11 Correct 191 ms 29936 KB Output is correct
12 Correct 207 ms 31596 KB Output is correct
13 Correct 180 ms 32572 KB Output is correct
14 Correct 177 ms 25072 KB Output is correct
15 Correct 479 ms 32236 KB Output is correct
16 Correct 473 ms 30700 KB Output is correct
17 Correct 449 ms 34096 KB Output is correct
18 Correct 433 ms 33256 KB Output is correct
19 Correct 256 ms 31048 KB Output is correct
20 Correct 262 ms 31932 KB Output is correct
21 Correct 272 ms 31512 KB Output is correct
22 Correct 259 ms 31900 KB Output is correct
23 Correct 268 ms 31852 KB Output is correct
24 Correct 261 ms 30664 KB Output is correct
25 Correct 260 ms 31532 KB Output is correct
26 Correct 257 ms 30532 KB Output is correct
27 Correct 5 ms 5248 KB Output is correct
28 Correct 4 ms 5248 KB Output is correct
29 Correct 4 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 6 ms 5248 KB Output is correct
33 Correct 5 ms 5248 KB Output is correct
34 Correct 5 ms 5376 KB Output is correct
35 Correct 5 ms 5248 KB Output is correct
36 Correct 19 ms 8256 KB Output is correct
37 Correct 213 ms 31212 KB Output is correct
38 Correct 216 ms 29548 KB Output is correct
39 Correct 215 ms 28396 KB Output is correct
40 Correct 219 ms 27884 KB Output is correct
41 Correct 202 ms 27500 KB Output is correct
42 Correct 177 ms 25836 KB Output is correct
43 Correct 234 ms 30060 KB Output is correct
44 Correct 234 ms 30704 KB Output is correct
45 Correct 186 ms 31468 KB Output is correct
46 Correct 189 ms 28396 KB Output is correct
47 Correct 30 ms 8228 KB Output is correct
48 Correct 489 ms 31724 KB Output is correct
49 Correct 524 ms 30700 KB Output is correct
50 Correct 482 ms 30136 KB Output is correct
51 Correct 465 ms 29676 KB Output is correct
52 Correct 430 ms 28140 KB Output is correct
53 Correct 294 ms 23504 KB Output is correct
54 Correct 527 ms 31676 KB Output is correct
55 Correct 476 ms 31976 KB Output is correct
56 Correct 429 ms 33592 KB Output is correct
57 Correct 376 ms 30392 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 5 ms 4992 KB Output is correct
3 Correct 4 ms 4992 KB Output is correct
4 Correct 4 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 6 ms 5248 KB Output is correct
7 Correct 5 ms 5248 KB Output is correct
8 Correct 5 ms 5248 KB Output is correct
9 Correct 5 ms 5376 KB Output is correct
10 Correct 153 ms 25204 KB Output is correct
11 Correct 203 ms 30700 KB Output is correct
12 Correct 191 ms 29936 KB Output is correct
13 Correct 207 ms 31596 KB Output is correct
14 Correct 180 ms 32572 KB Output is correct
15 Correct 177 ms 25072 KB Output is correct
16 Correct 479 ms 32236 KB Output is correct
17 Correct 473 ms 30700 KB Output is correct
18 Correct 449 ms 34096 KB Output is correct
19 Correct 433 ms 33256 KB Output is correct
20 Correct 256 ms 31048 KB Output is correct
21 Correct 262 ms 31932 KB Output is correct
22 Correct 272 ms 31512 KB Output is correct
23 Correct 259 ms 31900 KB Output is correct
24 Correct 268 ms 31852 KB Output is correct
25 Correct 261 ms 30664 KB Output is correct
26 Correct 260 ms 31532 KB Output is correct
27 Correct 257 ms 30532 KB Output is correct
28 Correct 5 ms 5248 KB Output is correct
29 Correct 4 ms 5248 KB Output is correct
30 Correct 4 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 6 ms 5248 KB Output is correct
34 Correct 5 ms 5248 KB Output is correct
35 Correct 5 ms 5376 KB Output is correct
36 Correct 5 ms 5248 KB Output is correct
37 Correct 19 ms 8256 KB Output is correct
38 Correct 213 ms 31212 KB Output is correct
39 Correct 216 ms 29548 KB Output is correct
40 Correct 215 ms 28396 KB Output is correct
41 Correct 219 ms 27884 KB Output is correct
42 Correct 202 ms 27500 KB Output is correct
43 Correct 177 ms 25836 KB Output is correct
44 Correct 234 ms 30060 KB Output is correct
45 Correct 234 ms 30704 KB Output is correct
46 Correct 186 ms 31468 KB Output is correct
47 Correct 189 ms 28396 KB Output is correct
48 Correct 30 ms 8228 KB Output is correct
49 Correct 489 ms 31724 KB Output is correct
50 Correct 524 ms 30700 KB Output is correct
51 Correct 482 ms 30136 KB Output is correct
52 Correct 465 ms 29676 KB Output is correct
53 Correct 430 ms 28140 KB Output is correct
54 Correct 294 ms 23504 KB Output is correct
55 Correct 527 ms 31676 KB Output is correct
56 Correct 476 ms 31976 KB Output is correct
57 Correct 429 ms 33592 KB Output is correct
58 Correct 376 ms 30392 KB Output is correct
59 Correct 120 ms 12856 KB Output is correct
60 Correct 485 ms 32092 KB Output is correct
61 Correct 480 ms 30940 KB Output is correct
62 Correct 503 ms 33336 KB Output is correct
63 Correct 468 ms 33468 KB Output is correct
64 Correct 6 ms 5248 KB Output is correct
65 Correct 4 ms 5248 KB Output is correct
66 Correct 5 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 5376 KB Output is correct
70 Correct 5 ms 5376 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 5376 KB Output is correct
74 Correct 185 ms 25828 KB Output is correct
75 Correct 214 ms 28908 KB Output is correct
76 Correct 204 ms 27884 KB Output is correct
77 Correct 180 ms 28044 KB Output is correct
78 Correct 92 ms 12144 KB Output is correct
79 Correct 79 ms 10988 KB Output is correct
80 Correct 153 ms 22252 KB Output is correct
81 Correct 241 ms 31200 KB Output is correct
82 Correct 242 ms 31776 KB Output is correct
83 Correct 284 ms 33640 KB Output is correct
84 Correct 188 ms 32300 KB Output is correct
85 Correct 241 ms 30948 KB Output is correct
86 Correct 94 ms 13424 KB Output is correct
87 Correct 512 ms 30476 KB Output is correct
88 Correct 504 ms 30572 KB Output is correct
89 Correct 345 ms 28396 KB Output is correct
90 Correct 198 ms 13932 KB Output is correct
91 Correct 223 ms 14440 KB Output is correct
92 Correct 313 ms 23788 KB Output is correct
93 Correct 521 ms 33000 KB Output is correct
94 Correct 434 ms 33200 KB Output is correct
95 Correct 559 ms 35048 KB Output is correct
96 Correct 483 ms 32240 KB Output is correct
97 Correct 396 ms 31188 KB Output is correct