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Submission #698954

# Submission time Handle Problem Language Result Execution time Memory
698954 2023-02-15T01:41:29 Z Cross_Ratio Swapping Cities (APIO20_swap) C++14
100 / 100
 290 ms 41768 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
const int INF = 2e9;
array<int, 3> Edge[200005];
vector<int> adj[200005];
int cnt = 0;
int ans[200005];
int N, M;
struct UnionFind {
    vector<int> root;
    vector<int> L, R, V;
    UnionFind(int N) {
        root.resize(N);
        L.resize(N);
        R.resize(N);
        V.resize(N);
        for(int i = 0; i<N;i++) {
            root[i] = -1;
            L[i] = R[i] = V[i] = i;
        }
    }
    int Find(int n) {
        if(root[n]<0) return n;
        int r = Find(root[n]);
        root[n] = r;
        return r;
    }
    void Merge(int a, int b, int d) {
       int x = Find(a), y = Find(b);
        if(x==y) {
            ans[V[x]] = min(ans[V[x]], d);
            return;
        }
        if(root[x]>root[y]) {
            swap(x, y);
            swap(a, b);
        }
        root[x] += root[y];
        root[y] = x;
        bool isLine = true;
        if(a==L[x]) {
            int k = L[x];
            L[x] = R[x];
            R[x] = k;
        }
        if(a != R[x]) isLine = false;
        if(b == R[y]) {
            int k = L[y];
            L[y] = R[y];
            R[y] = k;
        }
        if(b != L[y]) isLine = false;
        if(!isLine) {
            ans[V[x]] = min(ans[V[x]], d);
            ans[V[y]] = min(ans[V[y]], d);
        }
        ans[cnt] = min(ans[V[x]], ans[V[y]]);
        ans[cnt] = max(ans[cnt], d);
        if(ans[cnt]!=INF) isLine = false;
        //assert(isLine);
        /*cout << a << ' ' << b << ' ' << d << " Merging\n";
        cout << x << ' ' << y <<'\n';
        cout << L[x] << ' ' << R[x] << ' ' << L[y] << ' ' << R[y] << '\n';
        cout << "isLine : " << isLine << '\n';*/
        R[x] = R[y];
        adj[cnt].push_back(V[x]);
        adj[cnt].push_back(V[y]);
        V[x] = cnt;
        cnt++;
    }
};
int par[200005][20];
int dep[200005];
void dfs(int c, int p, int d, int k) {
    k = min(k, ans[c]);
    ans[c] = k;
    par[c][0] = p;
    dep[c] = d;
    for(int n : adj[c]) {
        dfs(n, c, d+1, k);
    }
}
int LCA(int x, int y) {
    if(dep[x]<dep[y]) swap(x, y);
    int d = dep[x] - dep[y];
    int i;
    for(i=19;i>=0;i--) {
        if(d&(1<<i)) x = par[x][i];
    }
    if(x==y) return x;
    for(i=19;i>=0;i--) {
        if(par[x][i]!=par[y][i]) {
            x = par[x][i], y = par[y][i];
        }
    }
    assert(par[x][0]==par[y][0]);
    return par[x][0];
}
void init(int _N, int _M,vector<int> _U, vector<int> _V, vector<int> _W) {
    N = _N, M = _M;
    int i, j;
    for(i=0;i<M;i++) Edge[i] = {_W[i], _U[i], _V[i]};
    cnt = N;
    for(i=0;i<=2*N;i++) ans[i] = INF;
    sort(Edge, Edge+M);
    UnionFind UF(N);
    for(i=0;i<M;i++) {
        UF.Merge(Edge[i][1], Edge[i][2], Edge[i][0]);
    }
    dfs(cnt-1, cnt, 0, INF);
    par[cnt][0] = cnt;
    /*for(i=0;i<=cnt;i++) {
        cout << par[i][0] << ' ';
    }
    cout << '\n';
    for(i=0;i<=cnt;i++) {
        cout << ans[i] << ' ';
    }
    cout << '\n';*/
    for(j=1;j<20;j++) {
        for(i=0;i<=cnt;i++) {
            par[i][j] = par[par[i][j-1]][j-1];
        }
    }
}

int getMinimumFuelCapacity(int X, int Y) {
    int v = ans[LCA(X, Y)];
    //cout << X << ' ' << Y << ' ' << LCA(X, Y) << '\n';
    return (v==INF?-1:v);
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 5076 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 82 ms 26528 KB Output is correct
10 Correct 109 ms 31396 KB Output is correct
11 Correct 121 ms 31044 KB Output is correct
12 Correct 113 ms 32544 KB Output is correct
13 Correct 95 ms 34836 KB Output is correct
14 Correct 89 ms 26912 KB Output is correct
15 Correct 207 ms 35436 KB Output is correct
16 Correct 210 ms 34776 KB Output is correct
17 Correct 211 ms 36384 KB Output is correct
18 Correct 274 ms 38776 KB Output is correct
19 Correct 75 ms 14472 KB Output is correct
20 Correct 206 ms 35452 KB Output is correct
21 Correct 207 ms 34756 KB Output is correct
22 Correct 211 ms 36436 KB Output is correct
23 Correct 290 ms 38804 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 230 ms 35020 KB Output is correct
4 Correct 238 ms 36556 KB Output is correct
5 Correct 270 ms 35596 KB Output is correct
6 Correct 253 ms 36428 KB Output is correct
7 Correct 281 ms 36000 KB Output is correct
8 Correct 228 ms 34772 KB Output is correct
9 Correct 230 ms 35796 KB Output is correct
10 Correct 223 ms 34504 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 5076 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 3 ms 5276 KB Output is correct
13 Correct 4 ms 5204 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 4 ms 5244 KB Output is correct
16 Correct 3 ms 5208 KB Output is correct
17 Correct 3 ms 5284 KB Output is correct
18 Correct 3 ms 5204 KB Output is correct
19 Correct 3 ms 5152 KB Output is correct
20 Correct 3 ms 5204 KB Output is correct
21 Correct 3 ms 5204 KB Output is correct
22 Correct 4 ms 5076 KB Output is correct
23 Correct 3 ms 5204 KB Output is correct
24 Correct 5 ms 5276 KB Output is correct
25 Correct 4 ms 5320 KB Output is correct
26 Correct 4 ms 5332 KB Output is correct
27 Correct 3 ms 5204 KB Output is correct
28 Correct 4 ms 5332 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 4 ms 5076 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 82 ms 26528 KB Output is correct
11 Correct 109 ms 31396 KB Output is correct
12 Correct 121 ms 31044 KB Output is correct
13 Correct 113 ms 32544 KB Output is correct
14 Correct 95 ms 34836 KB Output is correct
15 Correct 3 ms 5204 KB Output is correct
16 Correct 4 ms 5204 KB Output is correct
17 Correct 3 ms 5276 KB Output is correct
18 Correct 4 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 4 ms 5244 KB Output is correct
21 Correct 3 ms 5208 KB Output is correct
22 Correct 3 ms 5284 KB Output is correct
23 Correct 3 ms 5204 KB Output is correct
24 Correct 3 ms 5152 KB Output is correct
25 Correct 3 ms 5204 KB Output is correct
26 Correct 3 ms 5204 KB Output is correct
27 Correct 4 ms 5076 KB Output is correct
28 Correct 3 ms 5204 KB Output is correct
29 Correct 5 ms 5276 KB Output is correct
30 Correct 4 ms 5320 KB Output is correct
31 Correct 4 ms 5332 KB Output is correct
32 Correct 3 ms 5204 KB Output is correct
33 Correct 4 ms 5332 KB Output is correct
34 Correct 11 ms 8660 KB Output is correct
35 Correct 103 ms 32272 KB Output is correct
36 Correct 106 ms 32372 KB Output is correct
37 Correct 104 ms 32204 KB Output is correct
38 Correct 105 ms 31876 KB Output is correct
39 Correct 101 ms 31748 KB Output is correct
40 Correct 99 ms 29484 KB Output is correct
41 Correct 110 ms 32556 KB Output is correct
42 Correct 102 ms 32160 KB Output is correct
43 Correct 99 ms 35368 KB Output is correct
44 Correct 107 ms 32596 KB Output is correct
45 Correct 111 ms 31672 KB Output is correct
46 Correct 108 ms 32200 KB Output is correct
47 Correct 122 ms 32240 KB Output is correct
48 Correct 122 ms 33356 KB Output is correct
49 Correct 63 ms 13516 KB Output is correct
50 Correct 54 ms 13308 KB Output is correct
51 Correct 119 ms 27180 KB Output is correct
52 Correct 213 ms 36028 KB Output is correct
53 Correct 141 ms 37580 KB Output is correct
54 Correct 155 ms 37888 KB Output is correct
55 Correct 104 ms 35020 KB Output is correct
56 Correct 135 ms 37980 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 5076 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 4 ms 5204 KB Output is correct
9 Correct 82 ms 26528 KB Output is correct
10 Correct 109 ms 31396 KB Output is correct
11 Correct 121 ms 31044 KB Output is correct
12 Correct 113 ms 32544 KB Output is correct
13 Correct 95 ms 34836 KB Output is correct
14 Correct 89 ms 26912 KB Output is correct
15 Correct 207 ms 35436 KB Output is correct
16 Correct 210 ms 34776 KB Output is correct
17 Correct 211 ms 36384 KB Output is correct
18 Correct 274 ms 38776 KB Output is correct
19 Correct 230 ms 35020 KB Output is correct
20 Correct 238 ms 36556 KB Output is correct
21 Correct 270 ms 35596 KB Output is correct
22 Correct 253 ms 36428 KB Output is correct
23 Correct 281 ms 36000 KB Output is correct
24 Correct 228 ms 34772 KB Output is correct
25 Correct 230 ms 35796 KB Output is correct
26 Correct 223 ms 34504 KB Output is correct
27 Correct 3 ms 5204 KB Output is correct
28 Correct 4 ms 5204 KB Output is correct
29 Correct 3 ms 5276 KB Output is correct
30 Correct 4 ms 5204 KB Output is correct
31 Correct 4 ms 5204 KB Output is correct
32 Correct 4 ms 5244 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 3 ms 5284 KB Output is correct
35 Correct 3 ms 5204 KB Output is correct
36 Correct 11 ms 8660 KB Output is correct
37 Correct 103 ms 32272 KB Output is correct
38 Correct 106 ms 32372 KB Output is correct
39 Correct 104 ms 32204 KB Output is correct
40 Correct 105 ms 31876 KB Output is correct
41 Correct 101 ms 31748 KB Output is correct
42 Correct 99 ms 29484 KB Output is correct
43 Correct 110 ms 32556 KB Output is correct
44 Correct 102 ms 32160 KB Output is correct
45 Correct 99 ms 35368 KB Output is correct
46 Correct 107 ms 32596 KB Output is correct
47 Correct 19 ms 8828 KB Output is correct
48 Correct 241 ms 36080 KB Output is correct
49 Correct 202 ms 36068 KB Output is correct
50 Correct 206 ms 36124 KB Output is correct
51 Correct 218 ms 35932 KB Output is correct
52 Correct 189 ms 34256 KB Output is correct
53 Correct 169 ms 28048 KB Output is correct
54 Correct 244 ms 36428 KB Output is correct
55 Correct 213 ms 36120 KB Output is correct
56 Correct 253 ms 38556 KB Output is correct
57 Correct 204 ms 36488 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 4 ms 5076 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 82 ms 26528 KB Output is correct
11 Correct 109 ms 31396 KB Output is correct
12 Correct 121 ms 31044 KB Output is correct
13 Correct 113 ms 32544 KB Output is correct
14 Correct 95 ms 34836 KB Output is correct
15 Correct 89 ms 26912 KB Output is correct
16 Correct 207 ms 35436 KB Output is correct
17 Correct 210 ms 34776 KB Output is correct
18 Correct 211 ms 36384 KB Output is correct
19 Correct 274 ms 38776 KB Output is correct
20 Correct 230 ms 35020 KB Output is correct
21 Correct 238 ms 36556 KB Output is correct
22 Correct 270 ms 35596 KB Output is correct
23 Correct 253 ms 36428 KB Output is correct
24 Correct 281 ms 36000 KB Output is correct
25 Correct 228 ms 34772 KB Output is correct
26 Correct 230 ms 35796 KB Output is correct
27 Correct 223 ms 34504 KB Output is correct
28 Correct 3 ms 5204 KB Output is correct
29 Correct 4 ms 5204 KB Output is correct
30 Correct 3 ms 5276 KB Output is correct
31 Correct 4 ms 5204 KB Output is correct
32 Correct 4 ms 5204 KB Output is correct
33 Correct 4 ms 5244 KB Output is correct
34 Correct 3 ms 5208 KB Output is correct
35 Correct 3 ms 5284 KB Output is correct
36 Correct 3 ms 5204 KB Output is correct
37 Correct 11 ms 8660 KB Output is correct
38 Correct 103 ms 32272 KB Output is correct
39 Correct 106 ms 32372 KB Output is correct
40 Correct 104 ms 32204 KB Output is correct
41 Correct 105 ms 31876 KB Output is correct
42 Correct 101 ms 31748 KB Output is correct
43 Correct 99 ms 29484 KB Output is correct
44 Correct 110 ms 32556 KB Output is correct
45 Correct 102 ms 32160 KB Output is correct
46 Correct 99 ms 35368 KB Output is correct
47 Correct 107 ms 32596 KB Output is correct
48 Correct 19 ms 8828 KB Output is correct
49 Correct 241 ms 36080 KB Output is correct
50 Correct 202 ms 36068 KB Output is correct
51 Correct 206 ms 36124 KB Output is correct
52 Correct 218 ms 35932 KB Output is correct
53 Correct 189 ms 34256 KB Output is correct
54 Correct 169 ms 28048 KB Output is correct
55 Correct 244 ms 36428 KB Output is correct
56 Correct 213 ms 36120 KB Output is correct
57 Correct 253 ms 38556 KB Output is correct
58 Correct 204 ms 36488 KB Output is correct
59 Correct 75 ms 14472 KB Output is correct
60 Correct 206 ms 35452 KB Output is correct
61 Correct 207 ms 34756 KB Output is correct
62 Correct 211 ms 36436 KB Output is correct
63 Correct 290 ms 38804 KB Output is correct
64 Correct 3 ms 5152 KB Output is correct
65 Correct 3 ms 5204 KB Output is correct
66 Correct 3 ms 5204 KB Output is correct
67 Correct 4 ms 5076 KB Output is correct
68 Correct 3 ms 5204 KB Output is correct
69 Correct 5 ms 5276 KB Output is correct
70 Correct 4 ms 5320 KB Output is correct
71 Correct 4 ms 5332 KB Output is correct
72 Correct 3 ms 5204 KB Output is correct
73 Correct 4 ms 5332 KB Output is correct
74 Correct 111 ms 31672 KB Output is correct
75 Correct 108 ms 32200 KB Output is correct
76 Correct 122 ms 32240 KB Output is correct
77 Correct 122 ms 33356 KB Output is correct
78 Correct 63 ms 13516 KB Output is correct
79 Correct 54 ms 13308 KB Output is correct
80 Correct 119 ms 27180 KB Output is correct
81 Correct 213 ms 36028 KB Output is correct
82 Correct 141 ms 37580 KB Output is correct
83 Correct 155 ms 37888 KB Output is correct
84 Correct 104 ms 35020 KB Output is correct
85 Correct 135 ms 37980 KB Output is correct
86 Correct 56 ms 16028 KB Output is correct
87 Correct 205 ms 36128 KB Output is correct
88 Correct 210 ms 36020 KB Output is correct
89 Correct 205 ms 35732 KB Output is correct
90 Correct 148 ms 18120 KB Output is correct
91 Correct 149 ms 20128 KB Output is correct
92 Correct 189 ms 31008 KB Output is correct
93 Correct 244 ms 39624 KB Output is correct
94 Correct 251 ms 41268 KB Output is correct
95 Correct 253 ms 41768 KB Output is correct
96 Correct 262 ms 38812 KB Output is correct
97 Correct 238 ms 39584 KB Output is correct