#define _USE_MATH_DEFINES///////////////////////////////////////////////////// #include <bits/stdc++.h>////////////////////////////////////////////////////// #ifdef LOC//////////////////////////////////////////////////////////////////// #include "debuglib.h"///////////////////////////////////////////////////////// #else///////////////////////////////////////////////////////////////////////// #define deb(...)////////////////////////////////////////////////////////////// #define DBP(...)////////////////////////////////////////////////////////////// #endif//////////////////////////////////////////////////////////////////////// #define x first/////////////////////////////////////////////////////////////// #define y second////////////////////////////////////////////////////////////// #define mp make_pair////////////////////////////////////////////////////////// #define pb push_back////////////////////////////////////////////////////////// #define sz(x)int((x).size())////////////////////////////////////////////////// #define each(a,x)for(auto&a:(x))////////////////////////////////////////////// #define all(x)(x).begin(),(x).end()/////////////////////////////////////////// #define rep(i,b,e)for(int i=(b);i<(e);i++)//////////////////////////////////// using namespace std;using namespace rel_ops;using ll=int64_t;using Pii=pair/// <int,int>;using ull=uint64_t;using Vi=vector<int>;void run();int main(){cin.// sync_with_stdio(0);cin.tie(0);cout<<fixed<<setprecision(20);run();return 0;}// //--------------------------------------------------------------------------// constexpr ll INF = 1e9; struct SegmentTree { struct Node { int extra{0}, great{INF}; DBP(extra, great); }; vector<Node> V; int len, origLen; void init(int n) { origLen = n; for (len = 1; len < n; len *= 2); V.assign(len*2, {}); } void set(int i, int val) { V[len+i].extra = V[len+i].great = val; } void update(int i) { V[i].great = max(V[i*2].great, V[i*2+1].great) + V[i].extra; } void build() { for (int i = len-1; i > 0; i--) update(i); } int get(int i) { i += len; int ret = V[i].extra; while ((i /= 2) > 0) ret += V[i].extra; return ret; } void push() { rep(i, 1, len) { V[i*2].extra += V[i].extra; V[i*2+1].extra += V[i].extra; V[i].extra = 0; } } void add(int vBegin, int vEnd, int val, int i, int begin, int end) { if (begin >= vEnd || vBegin >= end) return; if (vBegin <= begin && end <= vEnd) { V[i].extra += val; V[i].great += val; return; } int mid = (begin+end) / 2; add(vBegin, vEnd, val, i*2, begin, mid); add(vBegin, vEnd, val, i*2+1, mid, end); update(i); } int lowerBound(int val, int i, int begin, int end) { if (i >= len) return i - len + (V[i].extra < val); int mid = (begin+end) / 2; val -= V[i].extra; if (V[i*2].great >= val) { return lowerBound(val, i*2, begin, mid); } return lowerBound(val, i*2+1, mid, end); } void add(int vBegin, int vEnd, int val) { add(vBegin, vEnd, val, 1, 0, len); } int lowerBound(int val) { return lowerBound(val, 1, 0, len); } void rawr(int i) { int coord = get(i); int from = lowerBound(coord), to = lowerBound(coord+1); add(0, from, 1); add(to, origLen, -1); } }; // --- int n; vector<Pii> points; bool twoD; Vi orderX, posX, orderY, posY; SegmentTree treeX, treeY; void rawr(int i) { treeX.rawr(posX[i]); if (twoD) treeY.rawr(posY[i]); } ll getAnswer(int without) { ll ret = 0; treeX.push(); if (twoD) treeY.push(); rep(i, 0, n) if (i != without) { int a = treeX.V[treeX.len + posX[i]].extra; if (twoD) { int b = treeY.V[treeY.len + posY[i]].extra; ret += ll(a) * ll(b); } else { ret += a; } } return ret; } void handle(int k) { vector<SegmentTree::Node> savedX = treeX.V, savedY; if (twoD) savedY = treeY.V; rep(i, k+1, n) rawr(i); ll ans = getAnswer(k); ans += ll(points[k].x) * points[k].y; cout << ans << '\n'; treeX.V.swap(savedX); if (twoD) treeY.V.swap(savedY); rawr(k); } void solve() { orderX.resize(n); iota(all(orderX), 0); sort(all(orderX), [](int l, int r) { return points[l].x < points[r].x; }); orderY.resize(n); iota(all(orderY), 0); sort(all(orderY), [](int l, int r) { return points[l].y < points[r].y; }); posX.resize(n); rep(i, 0, n) posX[orderX[i]] = i; posY.resize(n); rep(i, 0, n) posY[orderY[i]] = i; treeX.init(n); treeY.init(n); rep(i, 0, n) { treeX.set(i, points[orderX[i]].x); treeY.set(i, points[orderY[i]].y); } treeX.build(); treeY.build(); rep(i, 0, n) handle(i); } void run() { bool x1 = 1, y1 = 1; cin >> n; points.resize(n); each(p, points) { cin >> p.x >> p.y; if (p.x != 1) x1 = 0; if (p.y != 1) y1 = 0; } if (!y1 && x1) { swap(x1, y1); each(p, points) swap(p.x, p.y); } twoD = !y1; solve(); }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 | #define _USE_MATH_DEFINES///////////////////////////////////////////////////// #include <bits/stdc++.h>////////////////////////////////////////////////////// #ifdef LOC//////////////////////////////////////////////////////////////////// #include "debuglib.h"///////////////////////////////////////////////////////// #else///////////////////////////////////////////////////////////////////////// #define deb(...)////////////////////////////////////////////////////////////// #define DBP(...)////////////////////////////////////////////////////////////// #endif//////////////////////////////////////////////////////////////////////// #define x first/////////////////////////////////////////////////////////////// #define y second////////////////////////////////////////////////////////////// #define mp make_pair////////////////////////////////////////////////////////// #define pb push_back////////////////////////////////////////////////////////// #define sz(x)int((x).size())////////////////////////////////////////////////// #define each(a,x)for(auto&a:(x))////////////////////////////////////////////// #define all(x)(x).begin(),(x).end()/////////////////////////////////////////// #define rep(i,b,e)for(int i=(b);i<(e);i++)//////////////////////////////////// using namespace std;using namespace rel_ops;using ll=int64_t;using Pii=pair/// <int,int>;using ull=uint64_t;using Vi=vector<int>;void run();int main(){cin.// sync_with_stdio(0);cin.tie(0);cout<<fixed<<setprecision(20);run();return 0;}// //--------------------------------------------------------------------------// constexpr ll INF = 1e9; struct SegmentTree { struct Node { int extra{0}, great{INF}; DBP(extra, great); }; vector<Node> V; int len, origLen; void init(int n) { origLen = n; for (len = 1; len < n; len *= 2); V.assign(len*2, {}); } void set(int i, int val) { V[len+i].extra = V[len+i].great = val; } void update(int i) { V[i].great = max(V[i*2].great, V[i*2+1].great) + V[i].extra; } void build() { for (int i = len-1; i > 0; i--) update(i); } int get(int i) { i += len; int ret = V[i].extra; while ((i /= 2) > 0) ret += V[i].extra; return ret; } void push() { rep(i, 1, len) { V[i*2].extra += V[i].extra; V[i*2+1].extra += V[i].extra; V[i].extra = 0; } } void add(int vBegin, int vEnd, int val, int i, int begin, int end) { if (begin >= vEnd || vBegin >= end) return; if (vBegin <= begin && end <= vEnd) { V[i].extra += val; V[i].great += val; return; } int mid = (begin+end) / 2; add(vBegin, vEnd, val, i*2, begin, mid); add(vBegin, vEnd, val, i*2+1, mid, end); update(i); } int lowerBound(int val, int i, int begin, int end) { if (i >= len) return i - len + (V[i].extra < val); int mid = (begin+end) / 2; val -= V[i].extra; if (V[i*2].great >= val) { return lowerBound(val, i*2, begin, mid); } return lowerBound(val, i*2+1, mid, end); } void add(int vBegin, int vEnd, int val) { add(vBegin, vEnd, val, 1, 0, len); } int lowerBound(int val) { return lowerBound(val, 1, 0, len); } void rawr(int i) { int coord = get(i); int from = lowerBound(coord), to = lowerBound(coord+1); add(0, from, 1); add(to, origLen, -1); } }; // --- int n; vector<Pii> points; bool twoD; Vi orderX, posX, orderY, posY; SegmentTree treeX, treeY; void rawr(int i) { treeX.rawr(posX[i]); if (twoD) treeY.rawr(posY[i]); } ll getAnswer(int without) { ll ret = 0; treeX.push(); if (twoD) treeY.push(); rep(i, 0, n) if (i != without) { int a = treeX.V[treeX.len + posX[i]].extra; if (twoD) { int b = treeY.V[treeY.len + posY[i]].extra; ret += ll(a) * ll(b); } else { ret += a; } } return ret; } void handle(int k) { vector<SegmentTree::Node> savedX = treeX.V, savedY; if (twoD) savedY = treeY.V; rep(i, k+1, n) rawr(i); ll ans = getAnswer(k); ans += ll(points[k].x) * points[k].y; cout << ans << '\n'; treeX.V.swap(savedX); if (twoD) treeY.V.swap(savedY); rawr(k); } void solve() { orderX.resize(n); iota(all(orderX), 0); sort(all(orderX), [](int l, int r) { return points[l].x < points[r].x; }); orderY.resize(n); iota(all(orderY), 0); sort(all(orderY), [](int l, int r) { return points[l].y < points[r].y; }); posX.resize(n); rep(i, 0, n) posX[orderX[i]] = i; posY.resize(n); rep(i, 0, n) posY[orderY[i]] = i; treeX.init(n); treeY.init(n); rep(i, 0, n) { treeX.set(i, points[orderX[i]].x); treeY.set(i, points[orderY[i]].y); } treeX.build(); treeY.build(); rep(i, 0, n) handle(i); } void run() { bool x1 = 1, y1 = 1; cin >> n; points.resize(n); each(p, points) { cin >> p.x >> p.y; if (p.x != 1) x1 = 0; if (p.y != 1) y1 = 0; } if (!y1 && x1) { swap(x1, y1); each(p, points) swap(p.x, p.y); } twoD = !y1; solve(); } |