제출 #492980

#제출 시각아이디문제언어결과실행 시간메모리
492980ivan_tudorCats or Dogs (JOI18_catdog)C++14
38 / 100
259 ms46132 KiB
#include "catdog.h" #include<assert.h> using namespace std; const int N = 200005; const int INF = 1e9; int n; int scores[2][N]; int curl[2][N]; struct SegmentTree{ int ans[2][2]; SegmentTree(){ for(int i =0; i< 2; i++){ for(int j = 0; j < 2; j++) ans[i][j] = INF; } } }; SegmentTree NIL; SegmentTree join(SegmentTree a, SegmentTree b){ SegmentTree rsp; for(int i = 0; i <= 1; i++){ for(int j = 0; j <= 1; j++){ for(int midl = 0; midl <=1 ;midl++){ for(int midr = 0; midr <=1; midr++){ rsp.ans[i][j] = min(rsp.ans[i][j], a.ans[i][midl] + b.ans[midr][j] + (midl!=midr)); } } } } return rsp; } SegmentTree build(int nod, int animal){ SegmentTree rsp; for(int i =0; i <= 1; i++){ if(animal == i || animal == 2) rsp.ans[i][i] = 0; rsp.ans[i][i] += scores[i][nod]; } return rsp; } SegmentTree aint[4*N]; int getminscore(SegmentTree chain, int pet){ int ans = INF; for(int i = 0; i <= 1; i++){ ans = min(ans, chain.ans[pet][i]); ans = min(ans, chain.ans[pet^1][i] + 1); } return ans; } void update(int nod, int l, int r, int upoz, int utype){ if(l > upoz || r < upoz) return; if(l == r){ aint[nod] = build(upoz, utype); return; } int mid = (l + r)/2; update(2*nod, l, mid, upoz, utype); update(2*nod + 1, mid +1, r, upoz, utype); aint[nod] = join(aint[2*nod], aint[2*nod + 1]); } SegmentTree query(int nod, int l, int r, int ql, int qr){ if(ql <= l && r <= qr) return aint[nod]; int mid = (l + r)/2; SegmentTree rsp; if(ql <= mid && mid < qr) rsp = join(query(2*nod, l, mid, ql, qr), query(2*nod + 1, mid + 1, r, ql, qr)); else if(qr <= mid) rsp = query(2*nod, l, mid, ql, qr); else if(ql > mid) rsp = query(2*nod + 1, mid + 1, r, ql, qr); else assert(0); return rsp; } vector<int> gr[N]; int par[N]; int sz[N]; int id[N]; int head[N]; int low[N]; int tp[N]; void dfs_init(int nod, int dad){ par[nod] = dad; sz[nod] = 1; for(auto x:gr[nod]){ if(x == dad) continue; dfs_init(x, nod); sz[nod] += sz[x]; } } void dfs_heavy(int nod, int dad,int &idd, int chead){ head[nod] = chead; low[chead] = nod; id[nod] = idd++; int mson = -1; for(auto x:gr[nod]){ if(x == dad) continue; if(mson == -1 || sz[x] > sz[mson]) mson = x; } if(mson == -1) return; dfs_heavy(mson, nod, idd, chead); for(auto x:gr[nod]){ if(x == dad || x == mson) continue; dfs_heavy(x, nod, idd, x); } } SegmentTree update_heavy(int nod, int type){ tp[nod] = type; int hd = head[nod]; update(1, 1, n, id[nod], type); SegmentTree chain = query(1, 1, n, id[hd], id[low[hd]]); if(hd == 1) return chain; for(int i = 0; i<=1; i++){ scores[i][id[par[hd]]] -= curl[i][id[hd]]; curl[i][id[hd]] = getminscore(chain, i); scores[i][id[par[hd]]] += curl[i][id[hd]]; } return update_heavy(par[hd], tp[par[hd]]); } void build_aint(int nod, int l, int r){ if(l == r){ aint[nod] = build(nod, tp[l]); return; } int mid = (l + r)/2; build_aint(2*nod, l, mid); build_aint(2*nod + 1, mid + 1, r); aint[nod] = join(aint[2*nod], aint[2*nod + 1]); } void initialize(int N, std::vector<int> A, std::vector<int> B){ NIL = build(0, 2); n = N; for(int i = 0; i < N - 1; i++){ gr[A[i]].push_back(B[i]); gr[B[i]].push_back(A[i]); } for(int i = 1; i<=n; i++) tp[i] = 2; build_aint(1, 1, n); dfs_init(1, 0); int cnt = 1; dfs_heavy(1, 0, cnt, 1); }; int cat(int v){ SegmentTree rsp = update_heavy(v, 0); return min(getminscore(rsp, 0), getminscore(rsp, 1)); } int dog(int v){ SegmentTree rsp = update_heavy(v, 1); return min(getminscore(rsp, 0), getminscore(rsp, 1)); } int neighbor(int v){ SegmentTree rsp = update_heavy(v, 2); return min(getminscore(rsp, 0), getminscore(rsp, 1)); }
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