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Submission #334860

# Submission time Handle Problem Language Result Execution time Memory
334860 2020-12-10T05:44:56 Z limabeans Swapping Cities (APIO20_swap) C++17
100 / 100
 486 ms 63676 KB 
#include <bits/stdc++.h>
#include "swap.h"

using namespace std;


const int maxn = 1e6 + 10;

int n, m;
vector<int> g[maxn];
vector<pair<int,pair<int,int>>> edges;
int head;

int par[maxn];
int indx[maxn];
int deg[maxn];
bool good[maxn];
int cost[maxn];

int parent(int x) {
    if (par[x]==x) return x;
    return par[x]=parent(par[x]);
}

const int LOG = 20;
int st[LOG+1][maxn];
int ht[maxn];

void dfs(int at, int p=-1) {
    for (int j=1; j<LOG; j++) {
	st[j][at]=st[j-1][st[j-1][at]];
    }
    for (int to: g[at]) {
	if (to == p) continue;
	st[0][to]=at;
	ht[to] = 1+ht[at];
	dfs(to, at);
    }
}

void init(int N, int M, std::vector<int> U, std::vector<int> V, std::vector<int> W) {
    n=N;
    m=M;
    head = n;
    for (int i=0; i<M; i++) {
	edges.push_back({W[i],{U[i],V[i]}});
    }

    sort(edges.begin(),edges.end());


    for (int i=0; i<n; i++) {
	par[i]=i;
	indx[i]=i;
	deg[i]=0;
	good[i]=false;
    }



    for (auto ed: edges) {
	int w = ed.first;
	int U = ed.second.first;
	int V = ed.second.second;
	int u = parent(U);
	int v = parent(V);
	
	if (u==v) {
	    if (!good[indx[u]]) {
		g[head].push_back(indx[u]);
		good[head]=true;
		cost[head]=w;
		indx[u] = head++;
	    }
	} else {
	    deg[U]++;
	    deg[V]++;
	    
	    bool ok = (good[indx[u]] || good[indx[v]] || deg[U]>2 || deg[V]>2);
	    par[v]=u;
	    g[head].push_back(indx[u]);
	    g[head].push_back(indx[v]);
	    good[head] = ok;
	    cost[head] = w;
	    indx[u] = head++;
	}
    }

    st[0][head-1] = head-1;
    dfs(head-1);
}

int lca(int u, int v) {
    if (ht[u]<ht[v]) {
	swap(u,v);
    }
    int dx = ht[u]-ht[v];
    for (int j=LOG-1; j>=0; j--) {
	if (dx>>j&1) {
	    u=st[j][u];
	}
    }
    if (u==v) return v;
    
    for (int j=LOG-1; j>=0; j--) {
	if (st[j][u]!=st[j][v]) {
	    u=st[j][u];
	    v=st[j][v];
	}
    }
    
    return st[0][v];
}

int getMinimumFuelCapacity(int u, int v) {
    if (!good[head-1]) return -1;

    int mid = lca(u,v);
    if (good[mid]) {
	return cost[mid];
    }

    for (int j=LOG-1; j>=0; j--) {
	if (ht[mid] < (1<<j)) continue;
	if (!good[st[j][mid]]) {
	    mid=st[j][mid];
	}
    }

    return cost[st[0][mid]];
}

/*
int main() {
    // init(4,4,{0,1,2,3},{1,2,3,0},{1,1,1,1});
    // cout<<getMinimumFuelCapacity(1, 2)<<endl;

    
    init(5, 6, {0, 0, 1, 1, 1, 2}, {1, 2, 2, 3, 4, 3}, {4, 4, 1, 2, 10, 3});
    cout<<getMinimumFuelCapacity(1, 2)<<endl;
    cout<<getMinimumFuelCapacity(2, 4)<<endl;
    cout<<getMinimumFuelCapacity(0, 1)<<endl;
    
    return 0;
}
*/

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 17 ms 24044 KB Output is correct
4 Correct 17 ms 24172 KB Output is correct
5 Correct 17 ms 24300 KB Output is correct
6 Correct 17 ms 24300 KB Output is correct
7 Correct 18 ms 24300 KB Output is correct
8 Correct 17 ms 24300 KB Output is correct
9 Correct 142 ms 43616 KB Output is correct
10 Correct 170 ms 47840 KB Output is correct
11 Correct 170 ms 47584 KB Output is correct
12 Correct 176 ms 48864 KB Output is correct
13 Correct 147 ms 52832 KB Output is correct
14 Correct 149 ms 43616 KB Output is correct
15 Correct 232 ms 49900 KB Output is correct
16 Correct 232 ms 49296 KB Output is correct
17 Correct 242 ms 50760 KB Output is correct
18 Correct 214 ms 54600 KB Output is correct
19 Correct 120 ms 31532 KB Output is correct
20 Correct 374 ms 51168 KB Output is correct
21 Correct 382 ms 50460 KB Output is correct
22 Correct 417 ms 52168 KB Output is correct
23 Correct 486 ms 56136 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 393 ms 58156 KB Output is correct
4 Correct 411 ms 59592 KB Output is correct
5 Correct 415 ms 58744 KB Output is correct
6 Correct 406 ms 59336 KB Output is correct
7 Correct 415 ms 59104 KB Output is correct
8 Correct 407 ms 57872 KB Output is correct
9 Correct 410 ms 58848 KB Output is correct
10 Correct 405 ms 57500 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 17 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 17 ms 24172 KB Output is correct
6 Correct 17 ms 24300 KB Output is correct
7 Correct 17 ms 24300 KB Output is correct
8 Correct 18 ms 24300 KB Output is correct
9 Correct 17 ms 24300 KB Output is correct
10 Correct 18 ms 24300 KB Output is correct
11 Correct 18 ms 24300 KB Output is correct
12 Correct 17 ms 24300 KB Output is correct
13 Correct 17 ms 24172 KB Output is correct
14 Correct 17 ms 24300 KB Output is correct
15 Correct 17 ms 24300 KB Output is correct
16 Correct 17 ms 24300 KB Output is correct
17 Correct 17 ms 24300 KB Output is correct
18 Correct 17 ms 24300 KB Output is correct
19 Correct 17 ms 24172 KB Output is correct
20 Correct 17 ms 24300 KB Output is correct
21 Correct 17 ms 24300 KB Output is correct
22 Correct 17 ms 24172 KB Output is correct
23 Correct 18 ms 24192 KB Output is correct
24 Correct 17 ms 24300 KB Output is correct
25 Correct 18 ms 24428 KB Output is correct
26 Correct 18 ms 24300 KB Output is correct
27 Correct 19 ms 24300 KB Output is correct
28 Correct 18 ms 24300 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 17 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 17 ms 24172 KB Output is correct
6 Correct 17 ms 24300 KB Output is correct
7 Correct 17 ms 24300 KB Output is correct
8 Correct 18 ms 24300 KB Output is correct
9 Correct 17 ms 24300 KB Output is correct
10 Correct 142 ms 43616 KB Output is correct
11 Correct 170 ms 47840 KB Output is correct
12 Correct 170 ms 47584 KB Output is correct
13 Correct 176 ms 48864 KB Output is correct
14 Correct 147 ms 52832 KB Output is correct
15 Correct 18 ms 24300 KB Output is correct
16 Correct 18 ms 24300 KB Output is correct
17 Correct 17 ms 24300 KB Output is correct
18 Correct 17 ms 24172 KB Output is correct
19 Correct 17 ms 24300 KB Output is correct
20 Correct 17 ms 24300 KB Output is correct
21 Correct 17 ms 24300 KB Output is correct
22 Correct 17 ms 24300 KB Output is correct
23 Correct 17 ms 24300 KB Output is correct
24 Correct 31 ms 27692 KB Output is correct
25 Correct 178 ms 50752 KB Output is correct
26 Correct 177 ms 50784 KB Output is correct
27 Correct 178 ms 50656 KB Output is correct
28 Correct 171 ms 50344 KB Output is correct
29 Correct 172 ms 50272 KB Output is correct
30 Correct 160 ms 48084 KB Output is correct
31 Correct 179 ms 51040 KB Output is correct
32 Correct 179 ms 50656 KB Output is correct
33 Correct 149 ms 55904 KB Output is correct
34 Correct 180 ms 51040 KB Output is correct
35 Correct 17 ms 24172 KB Output is correct
36 Correct 17 ms 24300 KB Output is correct
37 Correct 17 ms 24300 KB Output is correct
38 Correct 17 ms 24172 KB Output is correct
39 Correct 18 ms 24192 KB Output is correct
40 Correct 17 ms 24300 KB Output is correct
41 Correct 18 ms 24428 KB Output is correct
42 Correct 18 ms 24300 KB Output is correct
43 Correct 19 ms 24300 KB Output is correct
44 Correct 18 ms 24300 KB Output is correct
45 Correct 169 ms 51036 KB Output is correct
46 Correct 174 ms 50784 KB Output is correct
47 Correct 174 ms 50656 KB Output is correct
48 Correct 171 ms 52704 KB Output is correct
49 Correct 86 ms 33504 KB Output is correct
50 Correct 75 ms 32352 KB Output is correct
51 Correct 142 ms 46432 KB Output is correct
52 Correct 203 ms 54492 KB Output is correct
53 Correct 240 ms 60252 KB Output is correct
54 Correct 222 ms 56408 KB Output is correct
55 Correct 145 ms 55392 KB Output is correct
56 Correct 218 ms 57436 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 17 ms 24044 KB Output is correct
4 Correct 17 ms 24172 KB Output is correct
5 Correct 17 ms 24300 KB Output is correct
6 Correct 17 ms 24300 KB Output is correct
7 Correct 18 ms 24300 KB Output is correct
8 Correct 17 ms 24300 KB Output is correct
9 Correct 142 ms 43616 KB Output is correct
10 Correct 170 ms 47840 KB Output is correct
11 Correct 170 ms 47584 KB Output is correct
12 Correct 176 ms 48864 KB Output is correct
13 Correct 147 ms 52832 KB Output is correct
14 Correct 149 ms 43616 KB Output is correct
15 Correct 232 ms 49900 KB Output is correct
16 Correct 232 ms 49296 KB Output is correct
17 Correct 242 ms 50760 KB Output is correct
18 Correct 214 ms 54600 KB Output is correct
19 Correct 393 ms 58156 KB Output is correct
20 Correct 411 ms 59592 KB Output is correct
21 Correct 415 ms 58744 KB Output is correct
22 Correct 406 ms 59336 KB Output is correct
23 Correct 415 ms 59104 KB Output is correct
24 Correct 407 ms 57872 KB Output is correct
25 Correct 410 ms 58848 KB Output is correct
26 Correct 405 ms 57500 KB Output is correct
27 Correct 18 ms 24300 KB Output is correct
28 Correct 18 ms 24300 KB Output is correct
29 Correct 17 ms 24300 KB Output is correct
30 Correct 17 ms 24172 KB Output is correct
31 Correct 17 ms 24300 KB Output is correct
32 Correct 17 ms 24300 KB Output is correct
33 Correct 17 ms 24300 KB Output is correct
34 Correct 17 ms 24300 KB Output is correct
35 Correct 17 ms 24300 KB Output is correct
36 Correct 31 ms 27692 KB Output is correct
37 Correct 178 ms 50752 KB Output is correct
38 Correct 177 ms 50784 KB Output is correct
39 Correct 178 ms 50656 KB Output is correct
40 Correct 171 ms 50344 KB Output is correct
41 Correct 172 ms 50272 KB Output is correct
42 Correct 160 ms 48084 KB Output is correct
43 Correct 179 ms 51040 KB Output is correct
44 Correct 179 ms 50656 KB Output is correct
45 Correct 149 ms 55904 KB Output is correct
46 Correct 180 ms 51040 KB Output is correct
47 Correct 48 ms 27948 KB Output is correct
48 Correct 370 ms 55624 KB Output is correct
49 Correct 359 ms 55624 KB Output is correct
50 Correct 353 ms 55564 KB Output is correct
51 Correct 340 ms 55508 KB Output is correct
52 Correct 326 ms 53904 KB Output is correct
53 Correct 260 ms 47828 KB Output is correct
54 Correct 379 ms 56648 KB Output is correct
55 Correct 378 ms 55752 KB Output is correct
56 Correct 435 ms 59720 KB Output is correct
57 Correct 346 ms 56648 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 17 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 17 ms 24172 KB Output is correct
6 Correct 17 ms 24300 KB Output is correct
7 Correct 17 ms 24300 KB Output is correct
8 Correct 18 ms 24300 KB Output is correct
9 Correct 17 ms 24300 KB Output is correct
10 Correct 142 ms 43616 KB Output is correct
11 Correct 170 ms 47840 KB Output is correct
12 Correct 170 ms 47584 KB Output is correct
13 Correct 176 ms 48864 KB Output is correct
14 Correct 147 ms 52832 KB Output is correct
15 Correct 149 ms 43616 KB Output is correct
16 Correct 232 ms 49900 KB Output is correct
17 Correct 232 ms 49296 KB Output is correct
18 Correct 242 ms 50760 KB Output is correct
19 Correct 214 ms 54600 KB Output is correct
20 Correct 393 ms 58156 KB Output is correct
21 Correct 411 ms 59592 KB Output is correct
22 Correct 415 ms 58744 KB Output is correct
23 Correct 406 ms 59336 KB Output is correct
24 Correct 415 ms 59104 KB Output is correct
25 Correct 407 ms 57872 KB Output is correct
26 Correct 410 ms 58848 KB Output is correct
27 Correct 405 ms 57500 KB Output is correct
28 Correct 18 ms 24300 KB Output is correct
29 Correct 18 ms 24300 KB Output is correct
30 Correct 17 ms 24300 KB Output is correct
31 Correct 17 ms 24172 KB Output is correct
32 Correct 17 ms 24300 KB Output is correct
33 Correct 17 ms 24300 KB Output is correct
34 Correct 17 ms 24300 KB Output is correct
35 Correct 17 ms 24300 KB Output is correct
36 Correct 17 ms 24300 KB Output is correct
37 Correct 31 ms 27692 KB Output is correct
38 Correct 178 ms 50752 KB Output is correct
39 Correct 177 ms 50784 KB Output is correct
40 Correct 178 ms 50656 KB Output is correct
41 Correct 171 ms 50344 KB Output is correct
42 Correct 172 ms 50272 KB Output is correct
43 Correct 160 ms 48084 KB Output is correct
44 Correct 179 ms 51040 KB Output is correct
45 Correct 179 ms 50656 KB Output is correct
46 Correct 149 ms 55904 KB Output is correct
47 Correct 180 ms 51040 KB Output is correct
48 Correct 48 ms 27948 KB Output is correct
49 Correct 370 ms 55624 KB Output is correct
50 Correct 359 ms 55624 KB Output is correct
51 Correct 353 ms 55564 KB Output is correct
52 Correct 340 ms 55508 KB Output is correct
53 Correct 326 ms 53904 KB Output is correct
54 Correct 260 ms 47828 KB Output is correct
55 Correct 379 ms 56648 KB Output is correct
56 Correct 378 ms 55752 KB Output is correct
57 Correct 435 ms 59720 KB Output is correct
58 Correct 346 ms 56648 KB Output is correct
59 Correct 120 ms 31532 KB Output is correct
60 Correct 374 ms 51168 KB Output is correct
61 Correct 382 ms 50460 KB Output is correct
62 Correct 417 ms 52168 KB Output is correct
63 Correct 486 ms 56136 KB Output is correct
64 Correct 17 ms 24172 KB Output is correct
65 Correct 17 ms 24300 KB Output is correct
66 Correct 17 ms 24300 KB Output is correct
67 Correct 17 ms 24172 KB Output is correct
68 Correct 18 ms 24192 KB Output is correct
69 Correct 17 ms 24300 KB Output is correct
70 Correct 18 ms 24428 KB Output is correct
71 Correct 18 ms 24300 KB Output is correct
72 Correct 19 ms 24300 KB Output is correct
73 Correct 18 ms 24300 KB Output is correct
74 Correct 169 ms 51036 KB Output is correct
75 Correct 174 ms 50784 KB Output is correct
76 Correct 174 ms 50656 KB Output is correct
77 Correct 171 ms 52704 KB Output is correct
78 Correct 86 ms 33504 KB Output is correct
79 Correct 75 ms 32352 KB Output is correct
80 Correct 142 ms 46432 KB Output is correct
81 Correct 203 ms 54492 KB Output is correct
82 Correct 240 ms 60252 KB Output is correct
83 Correct 222 ms 56408 KB Output is correct
84 Correct 145 ms 55392 KB Output is correct
85 Correct 218 ms 57436 KB Output is correct
86 Correct 99 ms 35352 KB Output is correct
87 Correct 339 ms 55624 KB Output is correct
88 Correct 343 ms 55624 KB Output is correct
89 Correct 396 ms 55936 KB Output is correct
90 Correct 188 ms 37344 KB Output is correct
91 Correct 199 ms 39292 KB Output is correct
92 Correct 342 ms 51516 KB Output is correct
93 Correct 373 ms 59156 KB Output is correct
94 Correct 485 ms 63676 KB Output is correct
95 Correct 421 ms 60252 KB Output is correct
96 Correct 441 ms 59976 KB Output is correct
97 Correct 426 ms 60312 KB Output is correct