Submission #374477

#TimeUsernameProblemLanguageResultExecution timeMemory
374477ne4eHbKaSvjetlo (COCI20_svjetlo)C++17
110 / 110
855 ms124500 KiB
#include <bits/stdc++.h> using namespace std; #ifndef _LOCAL //#pragma GCC optimize("O3,Ofast") #else #pragma GCC optimize("O0") #endif template<typename t> inline void umin(t &a, const t b) {a = min(a, b);} template<typename t> inline void umax(t &a, const t b) {a = max(a, b);} typedef pair<int, int> pii; typedef long long ll; typedef long double ld; typedef int8_t i8; ll time() {return chrono::system_clock().now().time_since_epoch().count();} mt19937 rnd(time()); #define ft first #define sd second #define len(f) int((f).size()) #define bnd(f) (f).begin(), (f).end() #define _ <<' '<< #define int ll const int inf = 1e9 + 5; const ll inf64 = 4e18 + 5; const int md = 998244353; namespace MD { void add(int &a, const int b) {if((a += b) >= md) a -= md;} void sub(int &a, const int b) {if((a -= b) < 0) a += md;} int prod(const int a, const int b) {return ll(a) * b % md;} }; int n; const int N = 5e5 + 5; vector<int> g[N], h; i8 p[N]; bool unlit[N], mk[N]; int s[2][N], t[2][N], f[2][N], e[N], T[2][2][N], S[2][3][N], rT[2][2][N]; int min(int a, int b, int c) {return min(a, min(b, c));} int min(int a, int b, int c, int d) {return min(min(a, d), min(b, c));} void solve() { cin >> n; #ifdef KEK memset(mk, 0, N); for(int i = 0; i < n; ++i) g[i].clear(); #endif for(int i = 0; i < n; ++i) { char c; cin >> c; p[i] = c == '0'; e[i] = 0; } for(int i = 1; i < n; ++i) { int u, v; cin >> u >> v; --u, --v; g[u].push_back(v); g[v].push_back(u); ++e[u], ++e[v]; } queue<int> q; for(int i = 0; i < n; ++i) if(e[i] == 1) q.push(i); int cnt = 0; for(;;) { ++cnt; assert(!q.empty()); int v = q.front(); q.pop(); mk[v] = true; unlit[v] = p[v]; h.clear(); for(int u : g[v]) { if(--e[u] == 1) q.push(u); if(mk[u] && unlit[u]) { unlit[v] = true; h.push_back(u); } } if(!unlit[v]) continue; int k = len(h); f[0][v] = +inf; f[1][v] = 1; for(int u : h) { int f0 = min(f[1][v] + f[0][u] + 1, f[0][v] + f[1][u] + 3); int f1 = min(f[0][v] + f[0][u] + 1, f[1][v] + f[1][u] + 3); f[0][v] = min(+inf, f0); f[1][v] = min(+inf, f1); } for(int i : {0, 1}) for(int j : {0, 1}) fill(T[i][j], T[i][j] + k + 1, +inf); T[1][0][0] = 1; for(int i = 0; i < k; ++i) { for(int p : {0, 1}) { for(int z : {0, 1}) for(int ff : {0, 1}) umin(T[p ^ ff ^ 1][z][i + 1], T[p][z][i] + f[ff][h[i]] + 1 + (ff << 1)); for(int e : {0, 1}) umin(T[p ^ e][1][i + 1], T[p][0][i] + t[e][h[i]] + (e << 1)); } } t[0][v] = min(T[0][0][k], T[0][1][k], f[0][v]); t[1][v] = min(T[1][0][k], T[1][1][k], f[1][v]); for(int i : {0, 1}) for(int j : {0, 1, 2}) fill(S[i][j], S[i][j] + k + 1, +inf); S[1][0][0] = 1; for(int i = 0; i < k; ++i) { for(int p : {0, 1}) { for(int z : {0, 1, 2}) for(int ff : {0, 1}) umin(S[p ^ ff ^ 1][z][i + 1], S[p][z][i] + f[ff][h[i]] + 1 + (ff << 1)); for(int z : {0, 1}) for(int e : {0, 1}) umin(S[p ^ e][z + 1][i + 1], S[p][z][i] + t[e][h[i]] + (e << 1)); } } s[0][v] = min(S[0][0][k], S[0][1][k], S[0][2][k], t[0][v]); s[1][v] = min(S[1][0][k], S[1][1][k], S[1][2][k], t[1][v]); for(int i : {0, 1}) for(int j : {0, 1}) fill(rT[i][j], rT[i][j] + k + 1, +inf); rT[0][0][0] = 1; for(int i = 0; i < k; ++i) { for(int p : {0, 1}) { for(int z : {0, 1}) for(int ff : {0, 1}) umin(rT[p ^ ff ^ 1][z][i + 1], rT[p][z][i] + f[ff][h[k - 1 - i]] + 1 + (ff << 1)); for(int e : {0, 1}) umin(rT[p ^ e][1][i + 1], rT[p][0][i] + t[e][h[k - 1 - i]] + (e << 1)); } } for(int i = 0; i < k; ++i) { for(int fi : {0, 1}) { for(int se : {0, 1}) { ll P = s[1][h[i]]; P += T[fi][0][i]; P += rT[se][0][k - 1 - i]; if(P > +inf) continue; umin(s[fi ^ se][v], int(P)); } } } if(p[v]) { swap(f[0][v], f[1][v]); swap(t[0][v], t[1][v]); swap(s[0][v], s[1][v]); } if(cnt == n) { cout << s[0][v] << endl; return; } } } signed main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); #ifndef _LOCAL // freopen("file.in", "r", stdin); // freopen("file.out", "w", stdout); #else system("color a"); freopen("in.txt", "r", stdin); int t; cin >> t; while(t--) #endif solve(); }
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