#include "bits/stdc++.h" using namespace std; #define int long long using i64 = long long; #define REP(i, n) for (int i = 0; i < (int)n; ++i) #define RREP(i, n) for (int i = (int)n - 1; i >= 0; --i) #define FOR(i, s, n) for (int i = s; i < (int)n; ++i) #define RFOR(i, s, n) for (int i = (int)n - 1; i >= s; --i) #define ALL(a) a.begin(), a.end() #define IN(a, x, b) (a <= x && x < b) templateinline void out(T t){cout << t << "\n";} templateinline void out(T t,Ts... ts){cout << t << " ";out(ts...);} templateinline bool CHMIN(T&a,T b){if(a > b){a = b;return true;}return false;} templateinline bool CHMAX(T&a,T b){if(a < b){a = b;return true;}return false;} constexpr int INF = 1e18; template struct SegmentTree{ //using F = function; //using G = function; //using H = function; int n,height; F f; G g; H h; T ti; E ei; vector dat; vector laz; SegmentTree(F f,G g,H h,T ti,E ei): f(f),g(g),h(h),ti(ti),ei(ei){} void init(int n_){ n=1;height=0; while(n &v){ int n_=v.size(); init(n_); for(int i=0;i>i); } inline void recalc(int k){ while(k>>=1) dat[k]=f(reflect((k<<1)|0),reflect((k<<1)|1)); } void update(int a,int b,E x){ if(a>=b) return; thrust(a+=n); thrust(b+=n-1); for(int l=a,r=b+1;l>=1,r>>=1){ if(l&1) laz[l]=h(laz[l],x),l++; if(r&1) --r,laz[r]=h(laz[r],x); } recalc(a); recalc(b); } void set_val(int a,T x){ thrust(a+=n); dat[a]=x;laz[a]=ei; recalc(a); } T query(int a,int b){ if(a>=b) return ti; thrust(a+=n); thrust(b+=n-1); T vl=ti,vr=ti; for(int l=a,r=b+1;l>=1,r>>=1) { if(l&1) vl=f(vl,reflect(l++)); if(r&1) vr=f(reflect(--r),vr); } return f(vl,vr); } template int find(int st,C &check,T &acc,int k,int l,int r){ if(l+1==r){ acc=f(acc,reflect(k)); return check(acc)?k-n:-1; } propagate(k); int m=(l+r)>>1; if(m<=st) return find(st,check,acc,(k<<1)|1,m,r); if(st<=l&&!check(f(acc,dat[k]))){ acc=f(acc,dat[k]); return -1; } int vl=find(st,check,acc,(k<<1)|0,l,m); if(~vl) return vl; return find(st,check,acc,(k<<1)|1,m,r); } template int find(int st,C &check){ T acc=ti; return find(st,check,acc,1,0,n); } //アウトの条件を渡す }; //SegmentTree seg(f,g,h,ti,ei); signed main() { i64 N; cin >> N; vectorxa(N), ya(N), xb(N), yb(N); REP(i, N) { cin >> xa[i] >> ya[i] >> xb[i] >> yb[i]; } vector ans(N); auto func = [&](vector&x, vector&y) -> void { auto f = [&](i64 a, i64 b) {return a + b;}; auto g = [&](i64 a, i64 b) {return max(a, b);}; auto h = [&](i64 a, i64 b) {return max(a, b);}; SegmentTree seg(f,g,h,0ll,0ll); auto ma = [&](i64 a, i64 b) {return max(a, b);}; auto mi = [&](i64 a, i64 b) {return min(a, b);}; SegmentTree segmax(mi,ma,ma,INF,0ll); seg.build(vector(20020)); segmax.build(vector(20020)); i64 tar, ret = 0; auto check = [&](i64 x) {return x < tar;}; REP(i, N) { tar = y[i]; i64 idx = segmax.find(0, check); CHMIN(idx, x[i]); ret += y[i] * (x[i] - idx) - seg.query(idx, x[i]); seg.update(idx, x[i], y[i]); segmax.update(idx, x[i], y[i]); ans[i] += ret; } }; vector>x(4,vector(N)),y(4,vector(N)); REP(i, N) { x[0][i] = -xa[i], y[0][i] = -ya[i]; x[1][i] = -xa[i], y[1][i] = yb[i]; x[2][i] = xb[i], y[2][i] = -ya[i]; x[3][i] = xb[i], y[3][i] = yb[i]; } REP(i, 4) func(x[i], y[i]); RREP(i, N - 1) ans[i + 1] -= ans[i]; REP(i, N) cout << ans[i] << endl; }