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Submission #334861

# Submission time Handle Problem Language Result Execution time Memory
334861 2020-12-10T05:46:47 Z limabeans Swapping Cities (APIO20_swap) C++17
100 / 100
 493 ms 59592 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);

	deg[U]++;
	deg[V]++;
	
	if (u==v) {
	    if (!good[indx[u]]) {
		g[head].push_back(indx[u]);
		good[head]=true;
		cost[head]=w;
		indx[u] = head++;
	    }
	} else {
	    
	    
	    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 16 ms 24044 KB Output is correct
3 Correct 16 ms 24044 KB Output is correct
4 Correct 16 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 17 ms 24300 KB Output is correct
8 Correct 17 ms 24428 KB Output is correct
9 Correct 140 ms 43616 KB Output is correct
10 Correct 171 ms 47840 KB Output is correct
11 Correct 166 ms 47496 KB Output is correct
12 Correct 173 ms 48992 KB Output is correct
13 Correct 149 ms 52832 KB Output is correct
14 Correct 145 ms 43744 KB Output is correct
15 Correct 231 ms 49900 KB Output is correct
16 Correct 229 ms 49296 KB Output is correct
17 Correct 240 ms 50632 KB Output is correct
18 Correct 213 ms 54696 KB Output is correct
19 Correct 124 ms 31532 KB Output is correct
20 Correct 376 ms 51168 KB Output is correct
21 Correct 369 ms 50588 KB Output is correct
22 Correct 393 ms 52048 KB Output is correct
23 Correct 466 ms 56008 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 16 ms 24044 KB Output is correct
3 Correct 399 ms 57988 KB Output is correct
4 Correct 398 ms 59592 KB Output is correct
5 Correct 420 ms 58652 KB Output is correct
6 Correct 387 ms 59336 KB Output is correct
7 Correct 424 ms 59232 KB Output is correct
8 Correct 405 ms 57744 KB Output is correct
9 Correct 412 ms 58976 KB Output is correct
10 Correct 394 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 16 ms 24044 KB Output is correct
4 Correct 16 ms 24044 KB Output is correct
5 Correct 16 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 17 ms 24300 KB Output is correct
9 Correct 17 ms 24428 KB Output is correct
10 Correct 17 ms 24300 KB Output is correct
11 Correct 17 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 24172 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 18 ms 24300 KB Output is correct
21 Correct 18 ms 24428 KB Output is correct
22 Correct 18 ms 24172 KB Output is correct
23 Correct 18 ms 24172 KB Output is correct
24 Correct 18 ms 24320 KB Output is correct
25 Correct 17 ms 24300 KB Output is correct
26 Correct 18 ms 24300 KB Output is correct
27 Correct 17 ms 24300 KB Output is correct
28 Correct 18 ms 24336 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 16 ms 24044 KB Output is correct
4 Correct 16 ms 24044 KB Output is correct
5 Correct 16 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 17 ms 24300 KB Output is correct
9 Correct 17 ms 24428 KB Output is correct
10 Correct 140 ms 43616 KB Output is correct
11 Correct 171 ms 47840 KB Output is correct
12 Correct 166 ms 47496 KB Output is correct
13 Correct 173 ms 48992 KB Output is correct
14 Correct 149 ms 52832 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 24172 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 24300 KB Output is correct
23 Correct 17 ms 24300 KB Output is correct
24 Correct 29 ms 27436 KB Output is correct
25 Correct 173 ms 48864 KB Output is correct
26 Correct 171 ms 48864 KB Output is correct
27 Correct 176 ms 48864 KB Output is correct
28 Correct 172 ms 48480 KB Output is correct
29 Correct 170 ms 48512 KB Output is correct
30 Correct 157 ms 46432 KB Output is correct
31 Correct 177 ms 48852 KB Output is correct
32 Correct 173 ms 48992 KB Output is correct
33 Correct 144 ms 53984 KB Output is correct
34 Correct 178 ms 48900 KB Output is correct
35 Correct 17 ms 24172 KB Output is correct
36 Correct 18 ms 24300 KB Output is correct
37 Correct 18 ms 24428 KB Output is correct
38 Correct 18 ms 24172 KB Output is correct
39 Correct 18 ms 24172 KB Output is correct
40 Correct 18 ms 24320 KB Output is correct
41 Correct 17 ms 24300 KB Output is correct
42 Correct 18 ms 24300 KB Output is correct
43 Correct 17 ms 24300 KB Output is correct
44 Correct 18 ms 24336 KB Output is correct
45 Correct 171 ms 47836 KB Output is correct
46 Correct 172 ms 48900 KB Output is correct
47 Correct 174 ms 48896 KB Output is correct
48 Correct 169 ms 50784 KB Output is correct
49 Correct 86 ms 30816 KB Output is correct
50 Correct 74 ms 30048 KB Output is correct
51 Correct 144 ms 43744 KB Output is correct
52 Correct 208 ms 51036 KB Output is correct
53 Correct 239 ms 56540 KB Output is correct
54 Correct 223 ms 52440 KB Output is correct
55 Correct 144 ms 53600 KB Output is correct
56 Correct 210 ms 53724 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 16 ms 24044 KB Output is correct
3 Correct 16 ms 24044 KB Output is correct
4 Correct 16 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 17 ms 24300 KB Output is correct
8 Correct 17 ms 24428 KB Output is correct
9 Correct 140 ms 43616 KB Output is correct
10 Correct 171 ms 47840 KB Output is correct
11 Correct 166 ms 47496 KB Output is correct
12 Correct 173 ms 48992 KB Output is correct
13 Correct 149 ms 52832 KB Output is correct
14 Correct 145 ms 43744 KB Output is correct
15 Correct 231 ms 49900 KB Output is correct
16 Correct 229 ms 49296 KB Output is correct
17 Correct 240 ms 50632 KB Output is correct
18 Correct 213 ms 54696 KB Output is correct
19 Correct 399 ms 57988 KB Output is correct
20 Correct 398 ms 59592 KB Output is correct
21 Correct 420 ms 58652 KB Output is correct
22 Correct 387 ms 59336 KB Output is correct
23 Correct 424 ms 59232 KB Output is correct
24 Correct 405 ms 57744 KB Output is correct
25 Correct 412 ms 58976 KB Output is correct
26 Correct 394 ms 57500 KB Output is correct
27 Correct 17 ms 24300 KB Output is correct
28 Correct 17 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 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 29 ms 27436 KB Output is correct
37 Correct 173 ms 48864 KB Output is correct
38 Correct 171 ms 48864 KB Output is correct
39 Correct 176 ms 48864 KB Output is correct
40 Correct 172 ms 48480 KB Output is correct
41 Correct 170 ms 48512 KB Output is correct
42 Correct 157 ms 46432 KB Output is correct
43 Correct 177 ms 48852 KB Output is correct
44 Correct 173 ms 48992 KB Output is correct
45 Correct 144 ms 53984 KB Output is correct
46 Correct 178 ms 48900 KB Output is correct
47 Correct 38 ms 27436 KB Output is correct
48 Correct 371 ms 51528 KB Output is correct
49 Correct 355 ms 51400 KB Output is correct
50 Correct 342 ms 51528 KB Output is correct
51 Correct 340 ms 51284 KB Output is correct
52 Correct 318 ms 49936 KB Output is correct
53 Correct 263 ms 44116 KB Output is correct
54 Correct 368 ms 52168 KB Output is correct
55 Correct 377 ms 51528 KB Output is correct
56 Correct 426 ms 55496 KB Output is correct
57 Correct 342 ms 52168 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 16 ms 24044 KB Output is correct
4 Correct 16 ms 24044 KB Output is correct
5 Correct 16 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 17 ms 24300 KB Output is correct
9 Correct 17 ms 24428 KB Output is correct
10 Correct 140 ms 43616 KB Output is correct
11 Correct 171 ms 47840 KB Output is correct
12 Correct 166 ms 47496 KB Output is correct
13 Correct 173 ms 48992 KB Output is correct
14 Correct 149 ms 52832 KB Output is correct
15 Correct 145 ms 43744 KB Output is correct
16 Correct 231 ms 49900 KB Output is correct
17 Correct 229 ms 49296 KB Output is correct
18 Correct 240 ms 50632 KB Output is correct
19 Correct 213 ms 54696 KB Output is correct
20 Correct 399 ms 57988 KB Output is correct
21 Correct 398 ms 59592 KB Output is correct
22 Correct 420 ms 58652 KB Output is correct
23 Correct 387 ms 59336 KB Output is correct
24 Correct 424 ms 59232 KB Output is correct
25 Correct 405 ms 57744 KB Output is correct
26 Correct 412 ms 58976 KB Output is correct
27 Correct 394 ms 57500 KB Output is correct
28 Correct 17 ms 24300 KB Output is correct
29 Correct 17 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 24172 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 29 ms 27436 KB Output is correct
38 Correct 173 ms 48864 KB Output is correct
39 Correct 171 ms 48864 KB Output is correct
40 Correct 176 ms 48864 KB Output is correct
41 Correct 172 ms 48480 KB Output is correct
42 Correct 170 ms 48512 KB Output is correct
43 Correct 157 ms 46432 KB Output is correct
44 Correct 177 ms 48852 KB Output is correct
45 Correct 173 ms 48992 KB Output is correct
46 Correct 144 ms 53984 KB Output is correct
47 Correct 178 ms 48900 KB Output is correct
48 Correct 38 ms 27436 KB Output is correct
49 Correct 371 ms 51528 KB Output is correct
50 Correct 355 ms 51400 KB Output is correct
51 Correct 342 ms 51528 KB Output is correct
52 Correct 340 ms 51284 KB Output is correct
53 Correct 318 ms 49936 KB Output is correct
54 Correct 263 ms 44116 KB Output is correct
55 Correct 368 ms 52168 KB Output is correct
56 Correct 377 ms 51528 KB Output is correct
57 Correct 426 ms 55496 KB Output is correct
58 Correct 342 ms 52168 KB Output is correct
59 Correct 124 ms 31532 KB Output is correct
60 Correct 376 ms 51168 KB Output is correct
61 Correct 369 ms 50588 KB Output is correct
62 Correct 393 ms 52048 KB Output is correct
63 Correct 466 ms 56008 KB Output is correct
64 Correct 17 ms 24172 KB Output is correct
65 Correct 18 ms 24300 KB Output is correct
66 Correct 18 ms 24428 KB Output is correct
67 Correct 18 ms 24172 KB Output is correct
68 Correct 18 ms 24172 KB Output is correct
69 Correct 18 ms 24320 KB Output is correct
70 Correct 17 ms 24300 KB Output is correct
71 Correct 18 ms 24300 KB Output is correct
72 Correct 17 ms 24300 KB Output is correct
73 Correct 18 ms 24336 KB Output is correct
74 Correct 171 ms 47836 KB Output is correct
75 Correct 172 ms 48900 KB Output is correct
76 Correct 174 ms 48896 KB Output is correct
77 Correct 169 ms 50784 KB Output is correct
78 Correct 86 ms 30816 KB Output is correct
79 Correct 74 ms 30048 KB Output is correct
80 Correct 144 ms 43744 KB Output is correct
81 Correct 208 ms 51036 KB Output is correct
82 Correct 239 ms 56540 KB Output is correct
83 Correct 223 ms 52440 KB Output is correct
84 Correct 144 ms 53600 KB Output is correct
85 Correct 210 ms 53724 KB Output is correct
86 Correct 98 ms 33688 KB Output is correct
87 Correct 341 ms 51656 KB Output is correct
88 Correct 343 ms 51400 KB Output is correct
89 Correct 396 ms 51712 KB Output is correct
90 Correct 187 ms 32480 KB Output is correct
91 Correct 204 ms 34556 KB Output is correct
92 Correct 336 ms 46524 KB Output is correct
93 Correct 383 ms 53652 KB Output is correct
94 Correct 493 ms 57532 KB Output is correct
95 Correct 430 ms 53980 KB Output is correct
96 Correct 431 ms 55880 KB Output is correct
97 Correct 428 ms 54936 KB Output is correct