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Submission #560694

# Submission time Handle Problem Language Result Execution time Memory
560694 2022-05-11T23:44:57 Z AlperenT Fountain Parks (IOI21_parks) C++17
30 / 100
 674 ms 51212 KB 
#include "parks.h"
#include <bits/stdc++.h>
 
using namespace std;
 
const int N = 2e5 + 5;
 
struct DSU{
    int par[N], setsize[N], setcnt;
 
    void reset(int n){
        for(int i = 0; i < n; i++) par[i] = i, setsize[i] = 1;
        setcnt = n;
    }
 
    int setfind(int a){
        if(a == par[a]) return a;
        else return par[a] = setfind(par[a]);
    }
 
    void setunion(int a, int b){
        a = setfind(a), b = setfind(b);
 
        if(a != b){
            if(setsize[b] > setsize[a]) swap(a, b);
            par[b] = par[a];
            setsize[a] += setsize[b];
            setcnt--;
        }
    }
};
 
DSU dsu;
 
struct Point{
    int x, y;
 
    bool operator < (const Point &sc) const{
        if(x == sc.x) return y < sc.y;
        else return x < sc.x;
    }
};
 
int construct_roads(vector<int> xvec, vector<int> yvec){
    int n = xvec.size();
 
    dsu.reset(n);
 
    map<Point, int> nodes;
    map<Point, Point> edges;
    map<Point, bool> vis;
 
    for(int i = 0; i < n; i++) nodes[{xvec[i], yvec[i]}] = i;
 
    if(*max_element(xvec.begin(), xvec.end()) <= 2){    // subtask 1
        for(auto p : nodes){
            Point po = p.first;
            if(nodes.find({2, po.y + 2}) != nodes.end()){
                edges[{p.second, nodes[{2, po.y + 2}]}] = {1, po.y + 1};
                dsu.setunion(p.second, nodes[{2, po.y + 2}]);
            }
        }
    }
    else if(*max_element(xvec.begin(), xvec.end()) <= 4){    // subtask 2
        vector<int> x2, x4;
 
        for(int i = 0; i < n; i++){
            if(xvec[i] == 2) x2.push_back(yvec[i]);
            else if(xvec[i] == 4) x4.push_back(yvec[i]);
        } 
 
        sort(x2.begin(), x2.end());
        sort(x4.begin(), x4.end());
 
        for(auto y : x2){
            if(nodes.find({2, y + 2}) != nodes.end()){
                edges[{nodes[{2, y}], nodes[{2, y + 2}]}] = {1, y + 1};
                dsu.setunion(nodes[{2, y}], nodes[{2, y + 2}]);
            }
        }
 
        for(auto y : x4){
            if(nodes.find({4, y + 2}) != nodes.end()){
                edges[{nodes[{4, y}], nodes[{4, y + 2}]}] = {5, y + 1};
                dsu.setunion(nodes[{4, y}], nodes[{4, y + 2}]);
            }
 
            if(nodes.find({2, y}) != nodes.end()){
                edges[{nodes[{4, y}], nodes[{2, y}]}] = {3, y + 1};
                dsu.setunion(nodes[{4, y}], nodes[{2, y}]);
            }
        }
    }
    else if(*max_element(xvec.begin(), xvec.end()) <= 6){    // subtask 3
        vector<int> x2, x4, x6;
 
        for(int i = 0; i < n; i++){
            if(xvec[i] == 2) x2.push_back(yvec[i]);
            else if(xvec[i] == 4) x4.push_back(yvec[i]);
            else if(xvec[i] == 6) x6.push_back(yvec[i]);
        } 
 
        sort(x2.begin(), x2.end());
        sort(x4.begin(), x4.end());
        sort(x6.begin(), x6.end());
 
        for(auto y : x2){
            if(nodes.find({2, y + 2}) != nodes.end()){
                edges[{nodes[{2, y}], nodes[{2, y + 2}]}] = {1, y + 1};
                dsu.setunion(nodes[{2, y}], nodes[{2, y + 2}]);
            }
        }
 
        for(auto y : x6){
            if(nodes.find({6, y + 2}) != nodes.end()){
                edges[{nodes[{6, y}], nodes[{6, y + 2}]}] = {7, y + 1};
                dsu.setunion(nodes[{6, y}], nodes[{6, y + 2}]);
            }
        }
 
        for(auto y : x4){
            if(nodes.find({4, y + 2}) != nodes.end()){
                dsu.setunion(nodes[{4, y}], nodes[{4, y + 2}]);
            }
        }
 
        for(auto y : x4){
            if(nodes.find({6, y}) != nodes.end() && dsu.setfind(nodes[{4, y}]) != dsu.setfind(nodes[{6, y}])){
                edges[{nodes[{4, y}], nodes[{6, y}]}] = {5, y - 1};
                vis[{5, y - 1}] = true;
                dsu.setunion(nodes[{4, y}], nodes[{6, y}]);
 
                if(nodes.find({2, y}) != nodes.end() && dsu.setfind(nodes[{4, y}]) != dsu.setfind(nodes[{2, y}])){
                    edges[{nodes[{2, y}], nodes[{4, y}]}] = {3, y + 1};
                    vis[{3, y + 1}] = true;
                    dsu.setunion(nodes[{2, y}], nodes[{4, y}]);
                }
            }
            else if(nodes.find({2, y}) != nodes.end() && dsu.setfind(nodes[{4, y}]) != dsu.setfind(nodes[{2, y}])){
                edges[{nodes[{2, y}], nodes[{4, y}]}] = {3, y - 1};
                vis[{3, y - 1}] = true;
                dsu.setunion(nodes[{2, y}], nodes[{4, y}]);
            }
        }
 
        for(auto y : x4){
            if(nodes.find({4, y + 2}) != nodes.end()){
                if(!vis[{3, y + 1}]){
                    edges[{nodes[{4, y}], nodes[{4, y + 2}]}] = {3, y + 1};
                }
                else if(!vis[{5, y + 1}]){
                    edges[{nodes[{4, y}], nodes[{4, y + 2}]}] = {5, y + 1};
                }
                else assert(false);
            }
        }
    }
    else{    // subtask 4, 5
        for(auto p : nodes){
            Point po = p.first;

            if(nodes.find({po.x + 2, po.y}) != nodes.end()){
                if(!vis[{po.x + 1, po.y - 1}]){
                    edges[{p.second, nodes[{po.x + 2, po.y}]}] = {po.x + 1, po.y - 1};
                    vis[{po.x + 1, po.y - 1}] = true;
                }
                else if(!vis[{po.x + 1, po.y + 1}]){
                    edges[{p.second, nodes[{po.x + 2, po.y}]}] = {po.x + 1, po.y + 1};
                    vis[{po.x + 1, po.y + 1}] = true;
                }
                else assert(false);
            }

            if(nodes.find({po.x, po.y + 2}) != nodes.end()){
                if(!vis[{po.x + 1, po.y + 1}]){
                    edges[{p.second, nodes[{po.x, po.y + 2}]}] = {po.x + 1, po.y + 1};
                    vis[{po.x + 1, po.y + 1}] = true;
                }
                else if(!vis[{po.x - 1, po.y + 1}]){
                    edges[{p.second, nodes[{po.x, po.y + 2}]}] = {po.x - 1, po.y + 1};
                    vis[{po.x - 1, po.y + 1}] = true;
                }
                else assert(false);
            }
        }
    }
 
    if(dsu.setcnt == 1){
        vector<int> vecs[4];
 
        for(auto p : edges){
            vecs[0].push_back(p.first.x);
            vecs[1].push_back(p.first.y);
            vecs[2].push_back(p.second.x);
            vecs[3].push_back(p.second.y);
        }
 
        build(vecs[0], vecs[1], vecs[2], vecs[3]);
 
        return 1;
    }
    else return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 316 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 183 ms 20624 KB Output is correct
10 Correct 15 ms 2504 KB Output is correct
11 Correct 76 ms 11356 KB Output is correct
12 Correct 17 ms 3624 KB Output is correct
13 Correct 46 ms 7224 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 2 ms 580 KB Output is correct
16 Correct 194 ms 20664 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 316 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 183 ms 20624 KB Output is correct
10 Correct 15 ms 2504 KB Output is correct
11 Correct 76 ms 11356 KB Output is correct
12 Correct 17 ms 3624 KB Output is correct
13 Correct 46 ms 7224 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 2 ms 580 KB Output is correct
16 Correct 194 ms 20664 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 312 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 647 ms 51136 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 3 ms 596 KB Output is correct
26 Correct 5 ms 852 KB Output is correct
27 Correct 5 ms 980 KB Output is correct
28 Correct 258 ms 21220 KB Output is correct
29 Correct 334 ms 31124 KB Output is correct
30 Correct 494 ms 41340 KB Output is correct
31 Correct 674 ms 51212 KB Output is correct
32 Correct 1 ms 232 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 316 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 312 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 ms 308 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 2 ms 596 KB Output is correct
44 Correct 3 ms 740 KB Output is correct
45 Correct 271 ms 20912 KB Output is correct
46 Correct 352 ms 30340 KB Output is correct
47 Correct 321 ms 30424 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 316 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 183 ms 20624 KB Output is correct
10 Correct 15 ms 2504 KB Output is correct
11 Correct 76 ms 11356 KB Output is correct
12 Correct 17 ms 3624 KB Output is correct
13 Correct 46 ms 7224 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 2 ms 580 KB Output is correct
16 Correct 194 ms 20664 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 312 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 647 ms 51136 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 3 ms 596 KB Output is correct
26 Correct 5 ms 852 KB Output is correct
27 Correct 5 ms 980 KB Output is correct
28 Correct 258 ms 21220 KB Output is correct
29 Correct 334 ms 31124 KB Output is correct
30 Correct 494 ms 41340 KB Output is correct
31 Correct 674 ms 51212 KB Output is correct
32 Correct 1 ms 232 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 316 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 312 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 ms 308 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 2 ms 596 KB Output is correct
44 Correct 3 ms 740 KB Output is correct
45 Correct 271 ms 20912 KB Output is correct
46 Correct 352 ms 30340 KB Output is correct
47 Correct 321 ms 30424 KB Output is correct
48 Correct 1 ms 312 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 308 KB Output is correct
55 Correct 605 ms 44852 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 3 ms 712 KB Output is correct
58 Correct 9 ms 1748 KB Output is correct
59 Correct 14 ms 2016 KB Output is correct
60 Correct 309 ms 23016 KB Output is correct
61 Correct 348 ms 30380 KB Output is correct
62 Correct 474 ms 36884 KB Output is correct
63 Correct 621 ms 45024 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 1 ms 308 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 572 ms 40736 KB Output is correct
68 Correct 533 ms 40776 KB Output is correct
69 Correct 555 ms 40608 KB Output is correct
70 Correct 5 ms 980 KB Output is correct
71 Correct 11 ms 1848 KB Output is correct
72 Correct 260 ms 24516 KB Output is correct
73 Correct 416 ms 35512 KB Output is correct
74 Correct 615 ms 47252 KB Output is correct
75 Correct 538 ms 43364 KB Output is correct
76 Correct 471 ms 40748 KB Output is correct
77 Correct 6 ms 1236 KB Output is correct
78 Correct 12 ms 2004 KB Output is correct
79 Correct 255 ms 23664 KB Output is correct
80 Correct 414 ms 34728 KB Output is correct
81 Correct 587 ms 46272 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 316 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 183 ms 20624 KB Output is correct
10 Correct 15 ms 2504 KB Output is correct
11 Correct 76 ms 11356 KB Output is correct
12 Correct 17 ms 3624 KB Output is correct
13 Correct 46 ms 7224 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 2 ms 580 KB Output is correct
16 Correct 194 ms 20664 KB Output is correct
17 Incorrect 1 ms 212 KB Solution announced impossible, but it is possible.
18 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 316 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 183 ms 20624 KB Output is correct
10 Correct 15 ms 2504 KB Output is correct
11 Correct 76 ms 11356 KB Output is correct
12 Correct 17 ms 3624 KB Output is correct
13 Correct 46 ms 7224 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 2 ms 580 KB Output is correct
16 Correct 194 ms 20664 KB Output is correct
17 Incorrect 527 ms 43192 KB Solution announced impossible, but it is possible.
18 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 316 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 183 ms 20624 KB Output is correct
10 Correct 15 ms 2504 KB Output is correct
11 Correct 76 ms 11356 KB Output is correct
12 Correct 17 ms 3624 KB Output is correct
13 Correct 46 ms 7224 KB Output is correct
14 Correct 1 ms 448 KB Output is correct
15 Correct 2 ms 580 KB Output is correct
16 Correct 194 ms 20664 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 312 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 647 ms 51136 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 3 ms 596 KB Output is correct
26 Correct 5 ms 852 KB Output is correct
27 Correct 5 ms 980 KB Output is correct
28 Correct 258 ms 21220 KB Output is correct
29 Correct 334 ms 31124 KB Output is correct
30 Correct 494 ms 41340 KB Output is correct
31 Correct 674 ms 51212 KB Output is correct
32 Correct 1 ms 232 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 316 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 312 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 ms 308 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 2 ms 596 KB Output is correct
44 Correct 3 ms 740 KB Output is correct
45 Correct 271 ms 20912 KB Output is correct
46 Correct 352 ms 30340 KB Output is correct
47 Correct 321 ms 30424 KB Output is correct
48 Correct 1 ms 312 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 308 KB Output is correct
55 Correct 605 ms 44852 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 3 ms 712 KB Output is correct
58 Correct 9 ms 1748 KB Output is correct
59 Correct 14 ms 2016 KB Output is correct
60 Correct 309 ms 23016 KB Output is correct
61 Correct 348 ms 30380 KB Output is correct
62 Correct 474 ms 36884 KB Output is correct
63 Correct 621 ms 45024 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 1 ms 308 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 572 ms 40736 KB Output is correct
68 Correct 533 ms 40776 KB Output is correct
69 Correct 555 ms 40608 KB Output is correct
70 Correct 5 ms 980 KB Output is correct
71 Correct 11 ms 1848 KB Output is correct
72 Correct 260 ms 24516 KB Output is correct
73 Correct 416 ms 35512 KB Output is correct
74 Correct 615 ms 47252 KB Output is correct
75 Correct 538 ms 43364 KB Output is correct
76 Correct 471 ms 40748 KB Output is correct
77 Correct 6 ms 1236 KB Output is correct
78 Correct 12 ms 2004 KB Output is correct
79 Correct 255 ms 23664 KB Output is correct
80 Correct 414 ms 34728 KB Output is correct
81 Correct 587 ms 46272 KB Output is correct
82 Incorrect 1 ms 212 KB Solution announced impossible, but it is possible.
83 Halted 0 ms 0 KB -