제출 #836322

#제출 시각아이디문제언어결과실행 시간메모리
836322penguinmanRectangles (IOI19_rect)C++17
72 / 100
5040 ms407064 KiB
#include "rect.h" #include <bits/stdc++.h> using std::cin; using std::cout; using std::endl; using std::vector; using std::string; using ll = int; using vi = vector<ll>; using vii = vector<vi>; using pii = std::pair<ll,ll>; #define rep(i,j,k) for(ll i=ll(j); i<ll(k); i++) #define REP(i,j,k) for(ll i=ll(j); i<=ll(k); i++) #define per(i,j,k) for(ll i=ll(j); i>=ll(k); i--) #define all(a) a.begin(),a.end() #define pb emplace_back #define mp std::make_pair #define mtp std::make_tuple #define ln "\n" constexpr ll inf = (1ll<<30); /* constexpr ll LOG = 12; ll left_table[2510][2510][LOG+1]; ll right_table[2510][2510][LOG+1]; ll up_table[2510][2510][LOG+1]; ll down_table[2510][2510][LOG+1];*/ struct binary_indexed_tree{ vi node; ll N; binary_indexed_tree(int n): N(n){ node.resize(N+1); } void add(ll idx, ll val){ idx++; for(; idx<=N; idx+=(idx&-idx)) node[idx] += val; } ll sum(ll idx){ idx++; ll ret = 0; for(; 0<idx; idx-=(idx&-idx)) ret += node[idx]; return ret; } }; long long count_rectangles(std::vector<std::vector<int> > a) { ll H = a.size(), W = a[0].size(); long long ans = 0; vector<vector<vector<pii>>> query(H,vector<vector<pii>>(W)); { vector<std::map<ll,ll>> dp_right(W); vector<std::map<ll,ll>> right(W); per(i,H-1,0){ std::deque<ll> max, idx; max.pb(inf); idx.pb(-1); rep(j,0,W){ while(max[0] < a[i][j]){ max.pop_front(); idx.pop_front(); } if(idx[0] != -1) right[idx[0]][j] = 1; max.emplace_front(a[i][j]); idx.emplace_front(j); } max.clear(); idx.clear(); max.pb(inf); idx.pb(W); per(j,W-1,0){ while(max[0] < a[i][j]){ max.pop_front(); idx.pop_front(); } if(idx[0] != W) right[j][idx[0]] = 1; max.emplace_front(a[i][j]); idx.emplace_front(j); } rep(j,0,W){ if(right[j].count(j+1)) right[j].erase(j+1); for(auto &el: right[j]){ if(dp_right[j].count(el.first)) el.second += dp_right[j][el.first]; } } rep(j,1,W-1){ for(auto el: right[j-1]){ ll bottom = i+el.second; // bottom 以下 かつ ll lasting = el.first-j; // lasting 以上 query[i][j].pb(mp(lasting, -bottom)); } } rep(j,0,W){ dp_right[j] = right[j]; right[j].clear(); } } } { vector<std::map<ll,ll>> dp_down(H); vector<std::map<ll,ll>> down(H); per(j,W-1,0){ std::deque<ll> max, idx; max.pb(inf); idx.pb(-1); rep(i,0,H){ while(max[0] < a[i][j]){ max.pop_front(); idx.pop_front(); } if(idx[0] != -1) down[idx[0]][i] = 1; max.emplace_front(a[i][j]); idx.emplace_front(i); } max.clear(); idx.clear(); max.pb(inf); idx.pb(H); per(i,H-1,0){ while(max[0] < a[i][j]){ max.pop_front(); idx.pop_front(); } if(idx[0] != H) down[i][idx[0]] = 1; max.emplace_front(a[i][j]); idx.emplace_front(i); } rep(i,0,H){ if(down[i].count(i+1)) down[i].erase(i+1); for(auto &el: down[i]){ if(dp_down[i].count(el.first)) el.second += dp_down[i][el.first]; } } rep(i,1,H-1){ for(auto el: down[i-1]){ query[i][j].pb(mp(el.second, el.first)); } } rep(i,0,H){ dp_down[i] = down[i]; down[i].clear(); } } } binary_indexed_tree bit(H+10); rep(i,1,H-1){ rep(j,1,W-1){ auto query_ = query[i][j]; sort(all(query_)); reverse(all(query_)); for(auto el: query_){ if(el.second < 0) ans += bit.sum(-el.second); else bit.add(el.second,1); } for(auto el: query_){ if(el.second > 0) bit.add(el.second,-1); } } } return ans; }
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