답안 #925054

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
925054 2024-02-10T14:32:15 Z hmm789 Split the Attractions (IOI19_split) C++14
100 / 100
137 ms 35072 KB
#include <bits/stdc++.h>
using namespace std;
#define INF 1000000000000000000
#define MOD 998244353

vector<int> adj[100000], adj3[100000], grpv[100001];
set<pair<int, tuple<int, int, int>>> adj2[100000];
vector<int> path, res;
vector<pair<int, int>> t1;
int sz[100000], grp[100001], d, e, c1 = -1, c2 = -1, cnt, csz;
bool v[100000];

int size(int x, int g) {
    v[x] = 1; sz[x] = 1; grp[x] = g;
    if(g != -1) grpv[g].push_back(x);
    for(int i : adj3[x]) if(!v[i]) {
        if(g == -1) sz[x] += size(i, i);
        else sz[x] += size(i, g);
    }
    return sz[x];
}

int centroid(int x, int n) {
    v[x] = 1;
    for(int i : adj3[x]) if(!v[i] && sz[i] > n/2) return centroid(i, n);
    return x;
}

bool dfs(int x, int _c1, int _c2) {
    v[x] = 1;
    path.push_back(x);
    if(csz >= d) {
        c1 = _c1; c2 = _c2;
        return true;
    }
    for(auto i : adj2[x]) if(!v[i.first]) {
        csz += get<0>(i.second);
        if(dfs(i.first, get<1>(i.second), get<2>(i.second))) return true;
    }
    return false;
}

void dfs2(int x) {
    v[x] = 1;
    if(cnt == 0) return;
    res[x] = t1[0].second;
    cnt--;
    for(int i : adj[x]) if(!v[i] && grp[i] == grp[x]) dfs2(i);
}

void dfs3(int x) {
    if(cnt == 0) return;
    res[x] = t1[1].second;
    cnt--;
    for(int i : adj[x]) if(res[i] == 0) dfs3(i);
}

int up[100000];
int root(int x) {
    if(up[x] == x) return x;
    else return up[x] = root(up[x]);
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
    for(int i = 0; i < n; i++) res.push_back(0);
    for(int i = 0; i < n; i++) up[i] = i;
    for(int i = 0; i < p.size(); i++) {
        adj[p[i]].push_back(q[i]);
        adj[q[i]].push_back(p[i]);
        if(root(p[i]) == root(q[i])) continue;
        int x = root(p[i]), y = root(q[i]);
        up[x] = y;
        adj3[p[i]].push_back(q[i]);
        adj3[q[i]].push_back(p[i]);
    }
    t1 = {{a, 1}, {b, 2}, {c, 3}};
    sort(t1.begin(), t1.end());
    d = t1[0].first; e = t1[1].first;
    size(0, n);
    memset(v, 0, sizeof(v));
    int cen = centroid(0, n);
    memset(v, 0, sizeof(v));
    size(cen, -1);
    for(int i : adj3[cen]) if(sz[i] >= d) {
        memset(v, 0, sizeof(v));
        cnt = d;
        dfs2(i);
        cnt = e;
        dfs3(cen);
        for(int j = 0; j < n; j++) if(res[j] == 0) res[j] = t1[2].second;
        return res;
    }
    for(int i : adj3[cen]) assert(sz[i] == grpv[i].size());
    for(int i = 0; i < n; i++) {
        for(int j : adj[i]) {
            if(grp[i] == -1 || grp[j] == -1) continue;
            if(grp[i] == grp[j]) continue;
            auto it = adj2[grp[i]].lower_bound({grp[j], {0, 0, 0}});
            if(it != adj2[grp[i]].end() && it->first == grp[j]) continue;
            adj2[grp[i]].insert({grp[j], {sz[grp[j]], i, j}});
            adj2[grp[j]].insert({grp[i], {sz[grp[i]], j, i}});
        }
    }
    memset(v, 0, sizeof(v));
    for(int i : adj3[cen]) if(!v[i]) {
        csz = sz[i]; path.clear();
        if(dfs(i, -1, -1)) break;
    }
    if(c1 == -1) return res;
    cnt = d;
    for(int i = 0; i < path.size()-1; i++) {
        for(int j : grpv[path[i]]) {
            res[j] = t1[0].second;
            cnt--;
        }
    }
    memset(v, 0, sizeof(v));
    dfs2(c2);
    cnt = e;
    dfs3(cen);
    for(int i = 0; i < n; i++) if(res[i] == 0) res[i] = t1[2].second;
    return res;
}

Compilation message

split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:67:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |     for(int i = 0; i < p.size(); i++) {
      |                    ~~^~~~~~~~~~
In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from split.cpp:1:
split.cpp:93:41: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |     for(int i : adj3[cen]) assert(sz[i] == grpv[i].size());
      |                                   ~~~~~~^~~~~~~~~~~~~~~~~
split.cpp:111:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |     for(int i = 0; i < path.size()-1; i++) {
      |                    ~~^~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 13148 KB ok, correct split
2 Correct 3 ms 13148 KB ok, correct split
3 Correct 3 ms 13148 KB ok, correct split
4 Correct 3 ms 13148 KB ok, correct split
5 Correct 3 ms 13148 KB ok, correct split
6 Correct 3 ms 13148 KB ok, correct split
7 Correct 84 ms 29000 KB ok, correct split
8 Correct 77 ms 27212 KB ok, correct split
9 Correct 82 ms 26436 KB ok, correct split
10 Correct 82 ms 29000 KB ok, correct split
11 Correct 81 ms 27976 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 13148 KB ok, correct split
2 Correct 3 ms 13148 KB ok, correct split
3 Correct 3 ms 13148 KB ok, correct split
4 Correct 85 ms 24072 KB ok, correct split
5 Correct 72 ms 23120 KB ok, correct split
6 Correct 74 ms 29000 KB ok, correct split
7 Correct 80 ms 26956 KB ok, correct split
8 Correct 93 ms 25160 KB ok, correct split
9 Correct 68 ms 23116 KB ok, correct split
10 Correct 56 ms 26196 KB ok, correct split
11 Correct 57 ms 26356 KB ok, correct split
12 Correct 57 ms 26356 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 13144 KB ok, correct split
2 Correct 83 ms 23020 KB ok, correct split
3 Correct 24 ms 17236 KB ok, correct split
4 Correct 3 ms 13148 KB ok, correct split
5 Correct 73 ms 24960 KB ok, correct split
6 Correct 69 ms 24648 KB ok, correct split
7 Correct 77 ms 24652 KB ok, correct split
8 Correct 72 ms 25672 KB ok, correct split
9 Correct 74 ms 24740 KB ok, correct split
10 Correct 22 ms 16596 KB ok, no valid answer
11 Correct 36 ms 18540 KB ok, no valid answer
12 Correct 65 ms 25048 KB ok, no valid answer
13 Correct 71 ms 23372 KB ok, no valid answer
14 Correct 63 ms 26188 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 13148 KB ok, correct split
2 Correct 2 ms 13144 KB ok, no valid answer
3 Correct 3 ms 13148 KB ok, correct split
4 Correct 3 ms 13260 KB ok, correct split
5 Correct 3 ms 13400 KB ok, correct split
6 Correct 2 ms 13148 KB ok, correct split
7 Correct 2 ms 13148 KB ok, correct split
8 Correct 3 ms 13148 KB ok, correct split
9 Correct 5 ms 13488 KB ok, correct split
10 Correct 4 ms 13404 KB ok, correct split
11 Correct 3 ms 13148 KB ok, correct split
12 Correct 4 ms 13660 KB ok, correct split
13 Correct 3 ms 13148 KB ok, correct split
14 Correct 3 ms 13148 KB ok, correct split
15 Correct 3 ms 13148 KB ok, correct split
16 Correct 3 ms 13148 KB ok, correct split
17 Correct 3 ms 13148 KB ok, correct split
18 Correct 3 ms 13144 KB ok, correct split
19 Correct 3 ms 13148 KB ok, correct split
20 Correct 3 ms 13404 KB ok, correct split
21 Correct 4 ms 13404 KB ok, correct split
22 Correct 4 ms 13404 KB ok, correct split
23 Correct 4 ms 13404 KB ok, correct split
24 Correct 4 ms 13556 KB ok, correct split
25 Correct 4 ms 13404 KB ok, correct split
26 Correct 4 ms 13660 KB ok, correct split
27 Correct 5 ms 13660 KB ok, correct split
28 Correct 4 ms 13516 KB ok, correct split
29 Correct 3 ms 13144 KB ok, correct split
30 Correct 4 ms 13660 KB ok, correct split
31 Correct 3 ms 13148 KB ok, correct split
32 Correct 3 ms 13148 KB ok, correct split
33 Correct 3 ms 13148 KB ok, correct split
34 Correct 4 ms 13400 KB ok, correct split
35 Correct 4 ms 13404 KB ok, correct split
36 Correct 4 ms 13520 KB ok, correct split
37 Correct 5 ms 13660 KB ok, correct split
38 Correct 5 ms 13660 KB ok, correct split
39 Correct 5 ms 13660 KB ok, correct split
40 Correct 5 ms 13660 KB ok, correct split
41 Correct 5 ms 13320 KB ok, correct split
42 Correct 4 ms 13404 KB ok, correct split
43 Correct 5 ms 13660 KB ok, correct split
44 Correct 4 ms 13660 KB ok, correct split
45 Correct 5 ms 13660 KB ok, correct split
46 Correct 4 ms 13404 KB ok, correct split
47 Correct 4 ms 13404 KB ok, no valid answer
48 Correct 4 ms 13572 KB ok, correct split
49 Correct 4 ms 13404 KB ok, correct split
50 Correct 3 ms 13148 KB ok, no valid answer
51 Correct 3 ms 13148 KB ok, no valid answer
52 Correct 4 ms 13404 KB ok, no valid answer
53 Correct 5 ms 13404 KB ok, no valid answer
54 Correct 5 ms 13660 KB ok, no valid answer
55 Correct 4 ms 13656 KB ok, no valid answer
56 Correct 4 ms 13660 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 13148 KB ok, correct split
2 Correct 3 ms 13148 KB ok, correct split
3 Correct 3 ms 13148 KB ok, correct split
4 Correct 3 ms 13148 KB ok, correct split
5 Correct 3 ms 13148 KB ok, correct split
6 Correct 3 ms 13148 KB ok, correct split
7 Correct 84 ms 29000 KB ok, correct split
8 Correct 77 ms 27212 KB ok, correct split
9 Correct 82 ms 26436 KB ok, correct split
10 Correct 82 ms 29000 KB ok, correct split
11 Correct 81 ms 27976 KB ok, correct split
12 Correct 3 ms 13148 KB ok, correct split
13 Correct 3 ms 13148 KB ok, correct split
14 Correct 3 ms 13148 KB ok, correct split
15 Correct 85 ms 24072 KB ok, correct split
16 Correct 72 ms 23120 KB ok, correct split
17 Correct 74 ms 29000 KB ok, correct split
18 Correct 80 ms 26956 KB ok, correct split
19 Correct 93 ms 25160 KB ok, correct split
20 Correct 68 ms 23116 KB ok, correct split
21 Correct 56 ms 26196 KB ok, correct split
22 Correct 57 ms 26356 KB ok, correct split
23 Correct 57 ms 26356 KB ok, correct split
24 Correct 3 ms 13144 KB ok, correct split
25 Correct 83 ms 23020 KB ok, correct split
26 Correct 24 ms 17236 KB ok, correct split
27 Correct 3 ms 13148 KB ok, correct split
28 Correct 73 ms 24960 KB ok, correct split
29 Correct 69 ms 24648 KB ok, correct split
30 Correct 77 ms 24652 KB ok, correct split
31 Correct 72 ms 25672 KB ok, correct split
32 Correct 74 ms 24740 KB ok, correct split
33 Correct 22 ms 16596 KB ok, no valid answer
34 Correct 36 ms 18540 KB ok, no valid answer
35 Correct 65 ms 25048 KB ok, no valid answer
36 Correct 71 ms 23372 KB ok, no valid answer
37 Correct 63 ms 26188 KB ok, no valid answer
38 Correct 3 ms 13148 KB ok, correct split
39 Correct 2 ms 13144 KB ok, no valid answer
40 Correct 3 ms 13148 KB ok, correct split
41 Correct 3 ms 13260 KB ok, correct split
42 Correct 3 ms 13400 KB ok, correct split
43 Correct 2 ms 13148 KB ok, correct split
44 Correct 2 ms 13148 KB ok, correct split
45 Correct 3 ms 13148 KB ok, correct split
46 Correct 5 ms 13488 KB ok, correct split
47 Correct 4 ms 13404 KB ok, correct split
48 Correct 3 ms 13148 KB ok, correct split
49 Correct 4 ms 13660 KB ok, correct split
50 Correct 3 ms 13148 KB ok, correct split
51 Correct 3 ms 13148 KB ok, correct split
52 Correct 3 ms 13148 KB ok, correct split
53 Correct 3 ms 13148 KB ok, correct split
54 Correct 3 ms 13148 KB ok, correct split
55 Correct 3 ms 13144 KB ok, correct split
56 Correct 3 ms 13148 KB ok, correct split
57 Correct 3 ms 13404 KB ok, correct split
58 Correct 4 ms 13404 KB ok, correct split
59 Correct 4 ms 13404 KB ok, correct split
60 Correct 4 ms 13404 KB ok, correct split
61 Correct 4 ms 13556 KB ok, correct split
62 Correct 4 ms 13404 KB ok, correct split
63 Correct 4 ms 13660 KB ok, correct split
64 Correct 5 ms 13660 KB ok, correct split
65 Correct 4 ms 13516 KB ok, correct split
66 Correct 3 ms 13144 KB ok, correct split
67 Correct 4 ms 13660 KB ok, correct split
68 Correct 3 ms 13148 KB ok, correct split
69 Correct 3 ms 13148 KB ok, correct split
70 Correct 3 ms 13148 KB ok, correct split
71 Correct 4 ms 13400 KB ok, correct split
72 Correct 4 ms 13404 KB ok, correct split
73 Correct 4 ms 13520 KB ok, correct split
74 Correct 5 ms 13660 KB ok, correct split
75 Correct 5 ms 13660 KB ok, correct split
76 Correct 5 ms 13660 KB ok, correct split
77 Correct 5 ms 13660 KB ok, correct split
78 Correct 5 ms 13320 KB ok, correct split
79 Correct 4 ms 13404 KB ok, correct split
80 Correct 5 ms 13660 KB ok, correct split
81 Correct 4 ms 13660 KB ok, correct split
82 Correct 5 ms 13660 KB ok, correct split
83 Correct 4 ms 13404 KB ok, correct split
84 Correct 4 ms 13404 KB ok, no valid answer
85 Correct 4 ms 13572 KB ok, correct split
86 Correct 4 ms 13404 KB ok, correct split
87 Correct 3 ms 13148 KB ok, no valid answer
88 Correct 3 ms 13148 KB ok, no valid answer
89 Correct 4 ms 13404 KB ok, no valid answer
90 Correct 5 ms 13404 KB ok, no valid answer
91 Correct 5 ms 13660 KB ok, no valid answer
92 Correct 4 ms 13656 KB ok, no valid answer
93 Correct 4 ms 13660 KB ok, no valid answer
94 Correct 82 ms 25488 KB ok, correct split
95 Correct 100 ms 28664 KB ok, correct split
96 Correct 104 ms 27424 KB ok, correct split
97 Correct 25 ms 17740 KB ok, correct split
98 Correct 27 ms 17936 KB ok, correct split
99 Correct 36 ms 19804 KB ok, correct split
100 Correct 96 ms 27764 KB ok, correct split
101 Correct 90 ms 26616 KB ok, correct split
102 Correct 110 ms 31304 KB ok, correct split
103 Correct 95 ms 30540 KB ok, correct split
104 Correct 82 ms 28620 KB ok, correct split
105 Correct 42 ms 19996 KB ok, correct split
106 Correct 88 ms 29008 KB ok, correct split
107 Correct 67 ms 24136 KB ok, correct split
108 Correct 69 ms 24136 KB ok, correct split
109 Correct 93 ms 27168 KB ok, correct split
110 Correct 137 ms 34424 KB ok, correct split
111 Correct 133 ms 34264 KB ok, correct split
112 Correct 126 ms 34892 KB ok, correct split
113 Correct 124 ms 35072 KB ok, correct split
114 Correct 14 ms 15704 KB ok, correct split
115 Correct 16 ms 15324 KB ok, correct split
116 Correct 96 ms 28236 KB ok, correct split
117 Correct 87 ms 28044 KB ok, correct split
118 Correct 74 ms 24396 KB ok, correct split
119 Correct 91 ms 24244 KB ok, correct split
120 Correct 91 ms 26524 KB ok, correct split
121 Correct 66 ms 24272 KB ok, no valid answer
122 Correct 67 ms 24804 KB ok, no valid answer
123 Correct 91 ms 27752 KB ok, no valid answer
124 Correct 96 ms 27552 KB ok, no valid answer
125 Correct 76 ms 29008 KB ok, no valid answer
126 Correct 54 ms 26060 KB ok, no valid answer
127 Correct 84 ms 29804 KB ok, no valid answer