제출 #989847

#제출 시각아이디문제언어결과실행 시간메모리
989847Cyber_WolfBoard Game (JOI24_boardgame)C++17
49 / 100
876 ms922752 KiB
#include <bits/stdc++.h> using namespace std; #define lg long long #define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0); const int N = 5e4+5, M = 305, K = (5e4+5)/(305)+1000; vector<int> adj[N]; int loc[N], stop[N], stops = 0; long long dist[N][K], dist2[N][K], sto[K], doub[N], sing[N], ans2[N], dist3[N][2], gh[N], inc[N]; bitset<K> vis[N], visd; int main() { fastio; int n, m, k; cin >> n >> m >> k; for(int i = 0; i < m; i++) { int u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } string s; cin >> s; vector<int> st; for(int i = 1; i <= n; i++) { stop[i] = (s[i-1] == '1'); stops += stop[i]; if(stop[i]) st.push_back(i); } for(int i = 0; i < k; i++) { cin >> loc[i]; } if(!stops) { memset(ans2, 0x3f, sizeof(ans2)); queue<int>q; visd = 0; visd[loc[0]] = 1; ans2[loc[0]] = 0; q.push(loc[0]); while(q.size()) { int u = q.front(); q.pop(); if(stop[u] && u != loc[0]) continue; for(auto it : adj[u]) { if(ans2[it] > ans2[u]+1) { ans2[it] = ans2[u]+1; q.push(it); } } } for(int i = 1; i <= n; i++) cout << ans2[i] << '\n'; return 0; } if(k > M) { memset(dist, 0x3f, sizeof(dist)); memset(dist2, 0x3f, sizeof(dist2)); stops = min(stops, K-5); queue<int> q[stops+3]; q[0].push(loc[0]); dist[loc[0]][0] = 0; vis[loc[0]][0] = true; for(int i = 0; i <= stops+2; i++) { int its = 0; while(q[i].size()) { int u = q[i].front(); q[i].pop(); vis[u][i] = false; int newOg = i; if(stop[u] && (its || i)) { newOg++; } if(newOg > stops+2) continue; for(auto it : adj[u]) { if(dist[it][newOg] > dist[u][i]+1) { if(!vis[it][newOg]) q[newOg].push(it); vis[it][newOg] = true; dist[it][newOg] = dist[u][i]+1; } } its++; } } for(int i = 1; i <= n; i++) vis[i] = 0, dist2[i][0] = 0; for(auto it : st) q[0].push(it), vis[it][0] = true; for(int i = 0; i <= stops+2; i++) { while(q[i].size()) { int u = q[i].front(); q[i].pop(); vis[u][i] = false; int newOg = i; if(stop[u]) { newOg++; } if(newOg > stops+2) continue; for(auto it : adj[u]) { if(dist2[it][newOg] > dist2[u][i]+1) { if(!vis[it][newOg]) q[newOg].push(it); vis[it][newOg] = true; dist2[it][newOg] = dist2[u][i]+1; } } } } for(int i = 1; i < k; i++) { for(int j = 0; j <= stops+2; j++) { if(dist2[loc[i]][j] > 1e18) { sto[j] = -1; break; } sto[j] += dist2[loc[i]][j]; } } for(int i = 1; i <= n; i++) { long long ans = dist[i][0]; for(int j = 1; j <= stops+2; j++) { if(sto[j] == -1) continue; ans = min(ans, dist[i][j]+sto[j]); } cout << ans << '\n'; } return 0; } memset(sing, 0x3f, sizeof(sing)); memset(doub, 0x3f, sizeof(doub)); queue<int> q; for(auto it : st) { q.push(it); sing[it] = 0; } while(q.size()) { int u = q.front(); q.pop(); for(auto it : adj[u]) { if(sing[it] > sing[u]+1) { sing[it] = sing[u]+1; q.push(it); } } } for(int i = 1; i <= n; i++) { sing[i] = 2*(!sing[i])+sing[i]; } for(int i = 1; i < k; i++) gh[0] += sing[loc[i]]; deque<int> dq; for(auto it : st) { for(auto it2 : adj[it]) { if(stop[it2]) { dq.push_back(it); doub[it] = 0; break; } } } while(dq.size()) { int u = dq.front(); dq.pop_front(); for(auto it : adj[u]) { if(doub[it] > doub[u]+(!stop[u])) { doub[it] = doub[u]+(!stop[u]); if(stop[u]) dq.push_front(it); else dq.push_back(it); } } } bool bad = false; for(int i = 1; i < k; i++) { if(doub[loc[i]] >= 1e18) { bad = true; break; } inc[i] = doub[loc[i]]-sing[loc[i]]; } if(!bad) { sort(inc+1, inc+k); for(int i = 1; i < k; i++) { gh[i] = gh[i-1]+inc[i]; } } memset(ans2, 0x3f, sizeof(ans2)); visd = 0; visd[loc[0]] = 1; ans2[loc[0]] = 0; q.push(loc[0]); while(q.size()) { int u = q.front(); q.pop(); if(stop[u] && u != loc[0]) continue; for(auto it : adj[u]) { if(ans2[it] > ans2[u]+1) { ans2[it] = ans2[u]+1; q.push(it); } } } for(int its = 0; its < k; its++) { if(bad && its) break; memset(dist3, 0x3f, sizeof(dist3)); dist3[loc[0]][0] = 0; vis[loc[0]][0] = true; priority_queue<array<lg, 3>> pq; pq.push({0, loc[0], 0}); while(pq.size()) { int u = pq.top()[1]; int ty = pq.top()[2]; vis[u][ty] = 0; int stopp = (u != loc[0] && stop[u]); int newty = (ty||stopp); pq.pop(); for(auto it : adj[u]) { if(dist3[it][newty] > dist3[u][ty]+(stopp ? 2*(k-1-its)+its+1 : 1)) { dist3[it][newty] = dist3[u][ty]+(stopp ? 2*(k-1-its)+its+1 : 1); if(!vis[it][newty]) { pq.push({-dist3[it][newty], it, newty}); } vis[it][newty] = true; } } } for(int i = 1; i <= n; i++) { ans2[i] = min(ans2[i], dist3[i][1]+gh[its]-2*(k-1-its)); } } for(int i = 1; i <= n; i++) cout << ans2[i] << '\n'; return 0; }
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