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Submission #486576

# Submission time Handle Problem Language Result Execution time Memory
486576 2021-11-12T04:29:15 Z aryan12 Swapping Cities (APIO20_swap) C++17
43 / 100
 2000 ms 44088 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

const int MAXN = 1e5 + 5;
vector<array<int, 3> > edges(MAXN * 2);
int DP[20][MAXN * 3];

struct ufds {
    bool isLine;
    pair<int, int> endpoints;
    int parent, value, depth;

    ufds(int x) {
        isLine = true;
        endpoints = {x, x};
        parent = x;
        value = 1e9;
        depth = 0;
    } 
} *Node[MAXN * 3];

int Find(int x) {
    if(Node[x]->parent == x) {
        return x;
    }
    return Node[x]->parent = Find(Node[x]->parent);
}

void Unite(int a, int b, int new_idx, int cur_val) {
    int original_a = a, original_b = b;
    a = Find(a);
    b = Find(b);
    Node[a]->parent = new_idx;
    Node[b]->parent = new_idx;
    Node[new_idx]->value = cur_val;
    DP[0][a] = new_idx;
    DP[0][b] = new_idx;
    if(a == b || !Node[a]->isLine || !Node[b]->isLine) {
        Node[new_idx]->isLine = false;
        Node[new_idx]->endpoints = {-1, -1};
    }
    else {
        //cout << "a = " << a << ", b = " << b << "\n";
        //cout << "A Line = " << Node[a]->endpoints.first << ", " << Node[a]->endpoints.second << "\n";
        //cout << "B Line = " << Node[b]->endpoints.first << ", " << Node[b]->endpoints.second << "\n";
        if(Node[a]->endpoints.first != original_a) {
            swap(Node[a]->endpoints.first, Node[a]->endpoints.second);
        }
        if(Node[b]->endpoints.first != original_b) {
            swap(Node[b]->endpoints.first, Node[b]->endpoints.second);
        }
        if(original_a == Node[a]->endpoints.first && original_b == Node[b]->endpoints.first) {
            Node[new_idx]->isLine = true;
            Node[new_idx]->endpoints = {Node[a]->endpoints.second, Node[b]->endpoints.second};
        }
        else {
            Node[new_idx]->isLine = false;
            Node[new_idx]->endpoints = {-1, -1};
        }
    }
}

bool cmp(array<int, 3> a, array<int, 3> b) {
    return a[2] < b[2];
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    auto begin = std::chrono::high_resolution_clock::now();
    for(int i = 0; i < 20; i++) {
        for(int j = 0; j < MAXN * 3; j++) {
            DP[i][j] = -1;
        }
    }
    for(int i = 0; i < M; i++) {
        edges[i] = {U[i], V[i], W[i]};
    }
    sort(edges.begin(), edges.begin() + M, cmp);
    int cur_new = N;
    for(int i = 0; i < MAXN * 3; i++) {
        Node[i] = new ufds(i);
    }
    for(int i = 0; i < M; i++) {
        //cout << Find(edges[i][0]) << " " << Find(edges[i][1]) << "\n"; 
        int x = Find(edges[i][0]), y = Find(edges[i][1]);
        //cout << "x = " << x << ", Node[x] is a line? " << Node[x]->isLine << "\n";
        if(x != y || Node[x]->isLine == true) {
            //cout << "Uniting edge: (" << edges[i][0] << ", " << edges[i][1] << ", " << edges[i][2] << ")\n";
            Unite(edges[i][0], edges[i][1], cur_new++, edges[i][2]);
        }
    }
    assert(cur_new <= MAXN * 3);
    for(int i = 1; i < 20; i++) {
        for(int j = 0; j < cur_new; j++) {
            if(DP[i - 1][j] != -1) {
                DP[i][j] = DP[i - 1][DP[i - 1][j]];
            }
            else {
                DP[i][j] = -1;
            }
        }
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    if(elapsed.count() * 1e-9 > 2.0) {
        assert(false);
    }
}

bool Check(int val, int X, int Y) {
    for(int i = 19; i >= 0; i--) {
        if(DP[i][X] != -1 && Node[DP[i][X]]->value <= val) {
            X = DP[i][X];
        }
        if(DP[i][Y] != -1 && Node[DP[i][Y]]->value <= val) {
            Y = DP[i][Y];
        }
    }
    return (X == Y && Node[X]->isLine == false);
}

int getMinimumFuelCapacity(int X, int Y) {
    int ans = 1e9 + 2;
    int l = 0, r = 1e9;
    while(l <= r) {
        int mid = (l + r) / 2;
        if(Check(mid, X, Y)) {
            r = mid - 1;
            ans = mid;
        }
        else {
            l = mid + 1;
        }
    }
    if(ans == 1e9 + 2) {
        ans = -1;
    }
    return ans;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37836 KB Output is correct
2 Correct 19 ms 37836 KB Output is correct
3 Correct 19 ms 37764 KB Output is correct
4 Correct 20 ms 37796 KB Output is correct
5 Correct 20 ms 37804 KB Output is correct
6 Correct 25 ms 37884 KB Output is correct
7 Correct 21 ms 37844 KB Output is correct
8 Correct 19 ms 37836 KB Output is correct
9 Correct 61 ms 39876 KB Output is correct
10 Correct 82 ms 40284 KB Output is correct
11 Correct 96 ms 40244 KB Output is correct
12 Correct 73 ms 40440 KB Output is correct
13 Correct 66 ms 40944 KB Output is correct
14 Correct 113 ms 40004 KB Output is correct
15 Correct 750 ms 42108 KB Output is correct
16 Correct 771 ms 42076 KB Output is correct
17 Correct 800 ms 42276 KB Output is correct
18 Correct 1276 ms 42688 KB Output is correct
19 Correct 389 ms 41956 KB Output is correct
20 Correct 732 ms 43256 KB Output is correct
21 Correct 746 ms 43492 KB Output is correct
22 Correct 788 ms 43688 KB Output is correct
23 Correct 1266 ms 44088 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37836 KB Output is correct
2 Correct 19 ms 37836 KB Output is correct
3 Execution timed out 2087 ms 41772 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37836 KB Output is correct
2 Correct 19 ms 37836 KB Output is correct
3 Correct 19 ms 37764 KB Output is correct
4 Correct 20 ms 37796 KB Output is correct
5 Correct 20 ms 37804 KB Output is correct
6 Correct 25 ms 37884 KB Output is correct
7 Correct 21 ms 37844 KB Output is correct
8 Correct 19 ms 37836 KB Output is correct
9 Correct 26 ms 37852 KB Output is correct
10 Correct 20 ms 37892 KB Output is correct
11 Correct 20 ms 37888 KB Output is correct
12 Correct 20 ms 37832 KB Output is correct
13 Correct 23 ms 37768 KB Output is correct
14 Correct 27 ms 37828 KB Output is correct
15 Correct 22 ms 37812 KB Output is correct
16 Correct 20 ms 37828 KB Output is correct
17 Correct 20 ms 37896 KB Output is correct
18 Correct 19 ms 37892 KB Output is correct
19 Correct 24 ms 37800 KB Output is correct
20 Correct 19 ms 37836 KB Output is correct
21 Correct 19 ms 37844 KB Output is correct
22 Correct 22 ms 37868 KB Output is correct
23 Correct 22 ms 37772 KB Output is correct
24 Correct 20 ms 37900 KB Output is correct
25 Correct 21 ms 37836 KB Output is correct
26 Correct 22 ms 37872 KB Output is correct
27 Correct 19 ms 37828 KB Output is correct
28 Correct 20 ms 37924 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 37852 KB Output is correct
2 Correct 18 ms 37836 KB Output is correct
3 Correct 19 ms 37836 KB Output is correct
4 Correct 19 ms 37764 KB Output is correct
5 Correct 20 ms 37796 KB Output is correct
6 Correct 20 ms 37804 KB Output is correct
7 Correct 25 ms 37884 KB Output is correct
8 Correct 21 ms 37844 KB Output is correct
9 Correct 19 ms 37836 KB Output is correct
10 Correct 61 ms 39876 KB Output is correct
11 Correct 82 ms 40284 KB Output is correct
12 Correct 96 ms 40244 KB Output is correct
13 Correct 73 ms 40440 KB Output is correct
14 Correct 66 ms 40944 KB Output is correct
15 Correct 20 ms 37892 KB Output is correct
16 Correct 20 ms 37888 KB Output is correct
17 Correct 20 ms 37832 KB Output is correct
18 Correct 23 ms 37768 KB Output is correct
19 Correct 27 ms 37828 KB Output is correct
20 Correct 22 ms 37812 KB Output is correct
21 Correct 20 ms 37828 KB Output is correct
22 Correct 20 ms 37896 KB Output is correct
23 Correct 19 ms 37892 KB Output is correct
24 Correct 24 ms 37800 KB Output is correct
25 Correct 19 ms 37836 KB Output is correct
26 Correct 19 ms 37844 KB Output is correct
27 Correct 22 ms 37868 KB Output is correct
28 Correct 22 ms 37772 KB Output is correct
29 Correct 20 ms 37900 KB Output is correct
30 Correct 21 ms 37836 KB Output is correct
31 Correct 22 ms 37872 KB Output is correct
32 Correct 19 ms 37828 KB Output is correct
33 Correct 20 ms 37924 KB Output is correct
34 Correct 26 ms 38348 KB Output is correct
35 Correct 79 ms 40392 KB Output is correct
36 Correct 73 ms 40352 KB Output is correct
37 Correct 76 ms 40468 KB Output is correct
38 Correct 78 ms 40428 KB Output is correct
39 Correct 101 ms 40388 KB Output is correct
40 Correct 76 ms 40344 KB Output is correct
41 Correct 77 ms 40476 KB Output is correct
42 Correct 88 ms 40384 KB Output is correct
43 Correct 77 ms 40380 KB Output is correct
44 Correct 101 ms 40476 KB Output is correct
45 Correct 112 ms 41580 KB Output is correct
46 Correct 84 ms 40388 KB Output is correct
47 Correct 75 ms 40388 KB Output is correct
48 Correct 86 ms 40644 KB Output is correct
49 Correct 74 ms 41820 KB Output is correct
50 Correct 64 ms 40820 KB Output is correct
51 Correct 97 ms 41152 KB Output is correct
52 Correct 127 ms 41888 KB Output is correct
53 Correct 126 ms 42256 KB Output is correct
54 Correct 140 ms 42832 KB Output is correct
55 Correct 68 ms 40388 KB Output is correct
56 Correct 160 ms 42152 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37836 KB Output is correct
2 Correct 19 ms 37836 KB Output is correct
3 Correct 19 ms 37764 KB Output is correct
4 Correct 20 ms 37796 KB Output is correct
5 Correct 20 ms 37804 KB Output is correct
6 Correct 25 ms 37884 KB Output is correct
7 Correct 21 ms 37844 KB Output is correct
8 Correct 19 ms 37836 KB Output is correct
9 Correct 61 ms 39876 KB Output is correct
10 Correct 82 ms 40284 KB Output is correct
11 Correct 96 ms 40244 KB Output is correct
12 Correct 73 ms 40440 KB Output is correct
13 Correct 66 ms 40944 KB Output is correct
14 Correct 113 ms 40004 KB Output is correct
15 Correct 750 ms 42108 KB Output is correct
16 Correct 771 ms 42076 KB Output is correct
17 Correct 800 ms 42276 KB Output is correct
18 Correct 1276 ms 42688 KB Output is correct
19 Execution timed out 2087 ms 41772 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 37852 KB Output is correct
2 Correct 18 ms 37836 KB Output is correct
3 Correct 19 ms 37836 KB Output is correct
4 Correct 19 ms 37764 KB Output is correct
5 Correct 20 ms 37796 KB Output is correct
6 Correct 20 ms 37804 KB Output is correct
7 Correct 25 ms 37884 KB Output is correct
8 Correct 21 ms 37844 KB Output is correct
9 Correct 19 ms 37836 KB Output is correct
10 Correct 61 ms 39876 KB Output is correct
11 Correct 82 ms 40284 KB Output is correct
12 Correct 96 ms 40244 KB Output is correct
13 Correct 73 ms 40440 KB Output is correct
14 Correct 66 ms 40944 KB Output is correct
15 Correct 113 ms 40004 KB Output is correct
16 Correct 750 ms 42108 KB Output is correct
17 Correct 771 ms 42076 KB Output is correct
18 Correct 800 ms 42276 KB Output is correct
19 Correct 1276 ms 42688 KB Output is correct
20 Execution timed out 2087 ms 41772 KB Time limit exceeded
21 Halted 0 ms 0 KB -