Submission #851795

#TimeUsernameProblemLanguageResultExecution timeMemory
851795denniskimClosing Time (IOI23_closing)C++17
43 / 100
184 ms85056 KiB
#include "closing.h" #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef __int128 lll; typedef long double ld; typedef pair<ll, ll> pll; typedef pair<ld, ld> pld; #define MAX 9223372036854775807LL #define MIN -9223372036854775807LL #define INF 0x3f3f3f3f3f3f3f3f #define fi first #define se second #define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10); #define sp << " " #define en << "\n" #define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end()) ll n, x, y; vector<pll> vec[500010]; ll dist1[500010], dist2[500010]; ll yuk[500010], chk[500010]; ll A[500010], B[500010], C[500010]; ll D[500010]; void dfs1(ll here, ll pa) { for(auto &i : vec[here]) { if(i.fi == pa) continue; dist1[i.fi] = dist1[here] + i.se; dfs1(i.fi, here); } } void dfs2(ll here, ll pa) { for(auto &i : vec[here]) { if(i.fi == pa) continue; yuk[i.fi] = here; dist2[i.fi] = dist2[here] + i.se; dfs2(i.fi, here); } } int max_score(int N, int X, int Y, long long K, vector<int> U, vector<int> V, vector<int> W) { n = N; x = X + 1; y = Y + 1; ll ans = -INF; for(ll i = 1 ; i <= n * 2 + 3 ; i++) { vec[i].clear(); dist1[i] = dist2[i] = yuk[i] = chk[i] = 0; } for(ll i = 0 ; i <= n * 2 + 3 ; i++) A[i] = B[i] = C[i] = D[i] = INF; A[0] = B[0] = C[0] = D[0] = 0; for(ll i = 0 ; i < n - 1 ; i++) { vec[U[i] + 1].push_back({V[i] + 1, W[i]}); vec[V[i] + 1].push_back({U[i] + 1, W[i]}); } dfs1(x, 0); dfs2(y, 0); vector<ll> vvv; for(ll i = 1 ; i <= n ; i++) { vvv.push_back(dist1[i]); vvv.push_back(dist2[i]); } sort(vvv.begin(), vvv.end()); ll hap = 0; for(ll i = 0 ; i < (ll)vvv.size() ; i++) { hap += vvv[i]; if(hap <= K) ans = max(ans, i + 1); } vector<ll> vv; for(ll i = x ; i != y ; i = yuk[i]) { vv.push_back(i); chk[i] = 1; } vv.push_back(y); chk[y] = 1; vector<ll> vv2, vv3; ll len = (ll)vv.size(); A[len * 2] = 0; for(auto &i : vv) { vv2.push_back(dist1[i]); vv2.push_back(dist2[i]); vv3.push_back(max(dist1[i], dist2[i]) - dist1[i]); vv3.push_back(max(dist1[i], dist2[i]) - dist2[i]); A[len * 2] += max(dist1[i], dist2[i]); } sort(vv2.begin(), vv2.end()); sort(vv3.begin(), vv3.end()); reverse(vv3.begin(), vv3.end()); ll cc = 0; for(ll i = 1 ; i <= len ; i++) A[i] = A[i - 1] + vv2[i - 1]; for(ll i = len * 2 - 1 ; i > len ; i--) A[i] = A[i + 1] - vv3[cc++]; vector<pll> vv4; for(ll i = 1 ; i <= n ; i++) { if(!chk[i]) vv4.push_back({min(dist1[i], dist2[i]), max(dist1[i], dist2[i])}); } vector<ll> vv5; vector<pll> vv6; ll minn = INF; for(auto &i : vv4) { if(i.fi * 2 <= i.se) { vv5.push_back(i.fi); vv5.push_back(i.se - i.fi); } else { vv6.push_back(i); minn = min(minn, i.fi); } } ll nam = (ll)vv6.size(); sort(vv5.begin(), vv5.end()); for(ll i = 0 ; i < (ll)vv5.size() ; i++) B[i + 1] = B[i] + vv5[i]; if(nam >= 1) C[1] = minn; multiset<pll> st1; multiset<ll> st3, st2; for(auto &i : vv6) { st1.insert({i.se, i.fi - i.se}); st3.insert(i.fi); } ll sum = 0; for(ll i = 2 ; i <= nam * 2 ; i++) { if(i % 2 == 0) { sum += (*st1.begin()).fi; st3.erase(st3.find((*st1.begin()).fi + (*st1.begin()).se)); st2.insert((*st1.begin()).se); st1.erase(st1.find(*st1.begin())); C[i] = sum; } else { C[i] = INF; C[i] = min(C[i], sum + (*st3.begin())); if(!st1.empty()) C[i] = min(C[i], sum + (*st2.begin()) + (*st1.begin()).fi); } } ll p1 = 1, p2 = 1; cc = 1; while(1) { if(A[p1] == INF && B[p2] == INF) break; if(A[p1] == INF) { D[cc] = D[cc - 1] + B[p2] - B[p2 - 1]; p2++, cc++; } else if(B[p2] == INF) { D[cc] = D[cc - 1] + A[p1] - A[p1 - 1]; p1++, cc++; } else { if(B[p2] - B[p2 - 1] < A[p1] - A[p1 - 1]) { D[cc] = D[cc - 1] + B[p2] - B[p2 - 1]; p2++, cc++; } else { D[cc] = D[cc - 1] + A[p1] - A[p1 - 1]; p1++, cc++; } } } ll p = -1; for(ll i = 0 ; i <= n * 2 ; i++) { if(C[i] != INF) p = i; } for(ll i = 0 ; i <= n * 2 ; i++) { if(D[i] == INF) break; while(p >= 0 && D[i] + C[p] > K) p--; if(p < 0) break; ans = max(ans, i + p); } /*for(ll i = 0 ; i <= n * 2 ; i++) cout << A[i] sp; cout en; for(ll i = 0 ; i <= n * 2 ; i++) cout << B[i] sp; cout en; for(ll i = 0 ; i <= n * 2 ; i++) cout << D[i] sp; cout en; for(ll i = 0 ; i <= n * 2 ; i++) cout << C[i] sp; cout en;*/ return ans; }
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