제출 #156912

#제출 시각아이디문제언어결과실행 시간메모리
156912Alexa2001자리 배치 (IOI18_seats)C++17
33 / 100
1680 ms125836 KiB
#include "seats.h" #include <bits/stdc++.h> using namespace std; const int Nmax = 1e6 + 5; const int inf = 1e9; typedef long long ll; typedef pair<int,int> Pair; ll mars[Nmax]; int N, M, P; int posL[Nmax], posC[Nmax]; vector< vector<int> > matrix; vector< vector< pair<Pair, Pair> > > coef; /////////////////////////////////////////////////// struct info { ll mn; int cnt; }; info operator + (info a, info b) { if(a.mn < b.mn) return a; if(b.mn < a.mn) return b; return {a.mn, a.cnt + b.cnt}; } void operator += (info &a, int b) { a.mn += b; } ////////////////////////////////////////////////// #define mid ((st+dr)>>1) #define left_son ((node<<1)) #define right_son ((node<<1)|1) class SegTree { info a[Nmax<<2]; ll lazy[Nmax<<2]; void propag(int node) { if(!lazy[node]) return; lazy[left_son] += lazy[node]; lazy[right_son] += lazy[node]; a[left_son] += lazy[node]; a[right_son] += lazy[node]; lazy[node] = 0; } public: void build(int node, int st, int dr, ll A[]) { lazy[node] = 0; if(st == dr) { a[node] = {A[st], 1}; return; } build(left_son, st, mid, A); build(right_son, mid+1, dr, A); a[node] = a[left_son] + a[right_son]; } void update(int node, int st, int dr, int L, int R, int add) { if(L > R) return; if(L <= st && dr <= R) { lazy[node] += add; a[node] += add; return; } propag(node); if(L <= mid) update(left_son, st, mid, L, R, add); if(mid < R) update(right_son, mid+1, dr, L, R, add); a[node] = a[left_son] + a[right_son]; } info query() { return a[1]; } } aint; pair<Pair, Pair> get_coef(int x, int y) { vector<int> aux; aux.push_back(matrix[x][y]); aux.push_back(matrix[x+1][y]); aux.push_back(matrix[x][y+1]); aux.push_back(matrix[x+1][y+1]); sort(aux.begin(), aux.end()); return { {aux[0], aux[1] - 1}, {aux[2], aux[3] - 1} }; } void add_mars(Pair a, int c) { mars[a.first] += c; mars[a.second+1] -= c; } void give_initial_chart(int H, int W, vector<int> R, vector<int> C) { N = H; M = W; P = N * M; int i, j; matrix.resize(N+2); for(auto &it : matrix) it.resize(M+2, 0); coef.resize(N+1); for(auto &it : coef) it.resize(M+1); for(i=0; i<=N+1; ++i) for(j=0; j<=M+1; ++j) matrix[i][j] = ( (1 <= i && i <= N && 1 <= j && j <= M) ? 0 : P); for(i=0; i<P; ++i) { ++R[i]; ++C[i]; posL[i] = R[i], posC[i] = C[i]; matrix[R[i]][C[i]] = i; } for(i=0; i<=N; ++i) for(j=0; j<=M; ++j) /// ce coeficient are patratul cu coltul stanga-sus in (i,j) ? coef[i][j] = get_coef(i, j); for(i=0; i<=P; ++i) mars[i] = 0; for(i=0; i<=N; ++i) for(j=0; j<=M; ++j) { add_mars(coef[i][j].first, 1); add_mars(coef[i][j].second, inf); } for(i=1; i<P; ++i) mars[i] += mars[i-1]; aint.build(1, 0, P-1, mars); } int swap_seats(int id1, int id2) { int l1, c1, l2, c2; l1 = posL[id1]; c1 = posC[id1]; l2 = posL[id2]; c2 = posC[id2]; vector<Pair> changes; changes.push_back({l1, c1}); changes.push_back({l1-1, c1}); changes.push_back({l1, c1-1}); changes.push_back({l1-1, c1-1}); changes.push_back({l2, c2}); changes.push_back({l2-1, c2}); changes.push_back({l2, c2-1}); changes.push_back({l2-1, c2-1}); sort(changes.begin(), changes.end()); changes.erase( unique(changes.begin(), changes.end()), changes.end() ); swap(posL[id1], posL[id2]); swap(posC[id1], posC[id2]); swap(matrix[l1][c1], matrix[l2][c2]); for(auto it : changes) { int pc, pl; tie(pl, pc) = it; auto C = coef[pl][pc]; aint.update(1, 0, P-1, C.first.first, C.first.second, -1); aint.update(1, 0, P-1, C.second.first, C.second.second, -inf); C = coef[pl][pc] = get_coef(pl, pc); aint.update(1, 0, P-1, C.first.first, C.first.second, +1); aint.update(1, 0, P-1, C.second.first, C.second.second, +inf); } auto res = aint.query(); assert(res.mn == 4); return res.cnt; }
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