Submission #143960

#TimeUsernameProblemLanguageResultExecution timeMemory
143960sasaSplit the Attractions (IOI19_split)C++14
0 / 100
2053 ms20160 KiB
#include "split.h" #include <iostream> #include <algorithm> #include <fstream> #include <vector> #include <deque> #include <assert.h> #include <queue> #include <stack> #include <set> #include <map> #include <stdio.h> #include <string.h> #include <utility> #include <math.h> #include <bitset> #include <iomanip> #include <complex> using namespace std; //#define int long long typedef pair<int,int> pii; typedef vector<int> vi; typedef long double ld; typedef long long ll; #define X first #define Y second #define all(o) o.begin(), o.end() #define endl '\n' using namespace std; const int maxn = 2e5 + 10; vi adj[maxn], tree[maxn], oth[maxn]; vi g[maxn]; int num[3], ans[maxn], sz[maxn], comp[maxn]; bool mark[maxn]; void dfs(int v){ mark[v] = 1; for(auto u : adj[v]){ if(!mark[u]){ tree[v].push_back(u); tree[u].push_back(v); dfs(u); } else{ oth[u].push_back(v); oth[v].push_back(u); } } } void dfs_tree(int v,int root){ mark[v] = 1; sz[v] = 1; for(auto u : tree[v]){ if(mark[u]) continue; if(v == root) comp[u] = u; else comp[u] = comp[v]; dfs_tree(u, root); sz[v] += sz[u]; } } int Rem; void dfs_g(int v){ if(mark[v]) return; mark[v] = 1; Rem -= sz[v]; if(Rem <= 0) return; for(auto u : g[v]) dfs_g(u); } int answer[maxn]; int rems = 0; void dfs_ok(int v,int col){ if(mark[v] || ans[v] != col || rems <= 0) return; rems--; answer[v] = col; mark[v] = 1; for(auto u : adj[v]) dfs_ok(u, col); } void make_ok(int n){ for(int i=0; i<n; i++) answer[i] = 3; rems = num[0]; memset(mark, 0, sizeof mark); for(int i=0; i<n; i++) if(ans[i] == 1){ dfs_ok(i, 1); break; } rems = num[1]; memset(mark, 0, sizeof mark); for(int i=0; i<n; i++) if(ans[i] == 2){ dfs_ok(i, 2); break; } } vector<int> find_split(int n, int a1, int b1, int c1, vector<int> from, vector<int> to) { int m = from.size(); num[0] = a1, num[1] = b1, num[2] = c1; sort(num, num + 3); for(int i=0; i<m; i++){ int u = from[i], v = to[i]; adj[u].push_back(v); adj[v].push_back(u); } dfs(0); memset(mark, 0, sizeof mark); dfs_tree(0, 0); int root = 0; while(1){ int bef = root; for(auto u : tree[root]){ if(sz[u] > n/2) root = u; } if(bef == root) break; } memset(sz, 0, sizeof sz); memset(mark, 0, sizeof mark); dfs_tree(root, root); bool can = true; if(m == n - 1){ can = false; for(auto u : tree[root]){ if(sz[u] >= num[0]){ for(int i=0; i<n; i++) ans[i] = (comp[i] == u ? 1 : 2); can = true; break; } } make_ok(n); } else{ for(int i=0; i<n; i++){ ans[i] = 2; for(auto j : oth[i]){ if(j != root && i != root){ int u = comp[i]; int v = comp[j]; if(u != v){ g[u].push_back(v); g[v].push_back(u); } } } } can = false; for(auto u : tree[root]){ if(sz[u] >= num[0]){ for(int i=0; i<n; i++) ans[i] = (comp[i] == u ? 1 : 2); can = true; break; } } if(!can){ Rem = num[0]; memset(mark, 0, sizeof mark); for(auto u : tree[root]) dfs_g(u); for(int i=0; i<n; i++){ if(i != root && mark[comp[i]]) ans[i] = 1; else ans[i] = 2; } can = true; } make_ok(n); }/* cout << "CAN" << can << endl; for(int i=0; i<n; i++) cout << answer[i] << " "; cout << endl;*/ pii per[3]; per[0] = {a1, 1}; per[1] = {b1, 2}; per[2] = {c1, 3}; sort(per, per + 3); vi res; res.resize(n); if(can){ for(int i=0; i<n; i++) res[i] = per[answer[i] - 1].Y; } return res; } /* int main(){ int n, m; cin >> n >> m; int a1, b1, c1; cin >> a1 >> b1 >> c1; vi fr, to; for(int i=0; i<m; i++){ int x, y; cin >> x >> y; fr.push_back(x); to.push_back(y); } vi res = find_split(n, a1, b1, c1, fr, to); for(auto t : res) cout << t << " "; cout << endl; }*/
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