mirror of
https://github.com/Kiritow/OJ-Problems-Source.git
synced 2024-03-22 13:11:29 +08:00
458 lines
11 KiB
C++
458 lines
11 KiB
C++
#include <cstdio>
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#include <algorithm>
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#include <iostream>
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#include <cmath>
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#include <vector>
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#include <cstring>
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#include <map>
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#include <set>
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#include <unordered_map>
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#include <queue>
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#include <sstream>
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using namespace std;
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const int MAXN = 1005;
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struct A{
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int H, D;
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bool operator<(const A rhs)const{
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if(H != rhs.H)
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return H > rhs.H;
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else
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return D < rhs.D;
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}
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}arr[MAXN];
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int N;
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int dval[MAXN], dvn;
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#define MAXP 2010
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#define MAXQ 1000005
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#define MAXI 0x7fffffff
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#define MAXC 0x0fffffff
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#define BIGM MAXC
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struct EDGE{
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int st, ed;
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int flow;
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int low;
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int upf;
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int cost;
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int hnext;
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int tnext;
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int hprev;
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int tprev;
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char set;
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}edge[MAXQ+MAXP];
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int ecnt;
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int ecnt2;
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int sece;
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bool search_method;
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struct NODE{
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int head;
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int tail;
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int d;
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int pi;
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int pred;
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int depth;
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}node[MAXP];
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int ncnt;
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struct LOOP{
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int e;
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int prev;
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int next;
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}loop[MAXP+3];
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int lcnt;
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int addedge(int a, int b, int low, int upf, int cost, int &cnt)
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{
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edge[cnt].st = a;
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edge[cnt].ed = b;
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edge[cnt].low = low;
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edge[cnt].upf = upf;
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edge[cnt].cost = cost;
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edge[cnt].hnext = -1;
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edge[cnt].tnext = -1;
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edge[cnt].hprev = -1;
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edge[cnt].tprev = -1;
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cnt++;
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return (cnt - 1);
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}
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void insert_tree(int j)
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{
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int a, b;
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a = edge[j].st;
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b = edge[j].ed;
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edge[j].hprev = -1;
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edge[j].hnext = node[a].head;
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if(node[a].head >= 0)
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edge[node[a].head].hprev = j;
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node[a].head = j;
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edge[j].tprev = -1;
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edge[j].tnext = node[b].tail;
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if(node[b].tail >= 0)
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edge[node[b].tail].tprev = j;
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node[b].tail = j;
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}
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void delete_tree(int j)
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{
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int a, b;
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a = edge[j].st;
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b = edge[j].ed;
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if(edge[j].hprev >= 0)
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{
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edge[edge[j].hprev].hnext = edge[j].hnext;
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}else{
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node[a].head = edge[j].hnext;
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}
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if(edge[j].hnext >= 0)
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{
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edge[edge[j].hnext].hprev = edge[j].hprev;
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}
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edge[j].hprev = -1;
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edge[j].hnext = -1;
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if(edge[j].tprev >= 0)
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{
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edge[edge[j].tprev].tnext = edge[j].tnext;
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}else{
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node[b].tail = edge[j].tnext;
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}
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if(edge[j].tnext >= 0)
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{
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edge[edge[j].tnext].tprev = edge[j].tprev;
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}
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edge[j].tprev = -1;
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edge[j].tnext = -1;
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}
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void M_init()
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{
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int i, j;
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node[0].d = 0;
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node[0].head = -1;
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node[0].tail = -1;
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for(i=0;i<ecnt;i++)
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{
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edge[i].flow = edge[i].low;
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edge[i].set = 'L';
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node[edge[i].st].d -= edge[i].low;
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node[edge[i].ed].d += edge[i].low;
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}
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ecnt2 = ecnt;
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for(i=1;i<=ncnt;i++)
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{
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if(node[i].d > 0)
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{
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j = addedge(i, 0, 0, MAXC, BIGM, ecnt2);
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edge[j].flow = node[i].d;
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}else{
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j = addedge(0, i, 0, MAXC, BIGM, ecnt2);
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edge[j].flow = -node[i].d;
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}
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edge[j].set = 'T';
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insert_tree(j);
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}
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}
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void calc_pi(int root, int val, int dep, int pred)
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{
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int j;
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node[root].pi = val;
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node[root].depth = dep;
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node[root].pred = pred;
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for(j=node[root].head;j!=-1;j=edge[j].hnext)
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{
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if(j != pred)
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{
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calc_pi(edge[j].ed, val - edge[j].cost, dep + 1, j);
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}
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}
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for(j=node[root].tail;j!=-1;j=edge[j].tnext)
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{
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if(j != pred)
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{
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calc_pi(edge[j].st, val + edge[j].cost, dep + 1, j);
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}
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}
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}
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int calc_dual1()
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{
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int i, ret = -1, dual0 = -1, dual;
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for(i=0;i<ecnt2;i++)
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{
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dual = edge[i].cost - node[edge[i].st].pi + node[edge[i].ed].pi;
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if((edge[i].set == 'L' && dual < 0)||(edge[i].set == 'U' && dual > 0))
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{
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dual = labs(dual);
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if(dual > dual0)
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{
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ret = i;
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dual0 = dual;
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}
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}
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}
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return ret;
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}
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int calc_dual2()
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{
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int i, dual;
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for(i=sece;i<ecnt2;i++)
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{
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dual = edge[i].cost - node[edge[i].st].pi + node[edge[i].ed].pi;
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if((edge[i].set == 'L' && dual < 0)||(edge[i].set == 'U' && dual > 0))
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{
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sece = i + 1;
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return i;
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}
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}
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for(i=0;i<sece;i++)
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{
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dual = edge[i].cost - node[edge[i].st].pi + node[edge[i].ed].pi;
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if((edge[i].set == 'L' && dual < 0)||(edge[i].set == 'U' && dual > 0))
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{
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sece = i + 1;
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return i;
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}
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}
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return -1;
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}
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bool augment(int rda)
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{
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int p, q;
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int pl, ql, pp, qp, maxflow;
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bool flagp, flagq, flag, ret;
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lcnt = 0;
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if(edge[rda].set == 'L')
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{
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p = edge[rda].st;
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q = edge[rda].ed;
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}else{
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q = edge[rda].st;
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p = edge[rda].ed;
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}
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loop[lcnt].e = rda;
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loop[lcnt].prev = 1;
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loop[lcnt].next = 2;
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pl = 1;
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ql = 2;
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loop[pl].e = -1;
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loop[pl].next = 0;
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loop[pl].prev = -1;
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loop[ql].e = -1;
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loop[ql].next = -1;
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loop[ql].prev = 0;
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lcnt = 3;
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maxflow = edge[rda].upf - edge[rda].low;
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while(p != q)
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{
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if(node[p].depth > node[q].depth)
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{
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flagp = true;
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flagq = false;
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}else if(node[p].depth < node[q].depth)
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{
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flagp = false;
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flagq = true;
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}else{
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flagp = true;
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flagq = true;
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}
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if(flagp)
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{
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pp = node[p].pred;
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if(edge[pp].ed == p)
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{
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maxflow = min(maxflow, edge[pp].upf - edge[pp].flow);
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p = edge[pp].st;
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}else{
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maxflow = min(maxflow, edge[pp].flow - edge[pp].low);
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p = edge[pp].ed;
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}
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loop[pl].e = pp;
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loop[pl].prev = lcnt;
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loop[lcnt].e = -1;
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loop[lcnt].next = pl;
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loop[lcnt].prev = -1;
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pl = lcnt;
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lcnt++;
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}
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if(flagq)
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{
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qp = node[q].pred;
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if(edge[qp].st == q)
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{
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maxflow = min(maxflow, edge[qp].upf - edge[qp].flow);
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q = edge[qp].ed;
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}else{
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maxflow = min(maxflow, edge[qp].flow - edge[qp].low);
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q = edge[qp].st;
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}
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loop[ql].e = qp;
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loop[ql].next = lcnt;
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loop[lcnt].e = -1;
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loop[lcnt].next = -1;
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loop[lcnt].prev = ql;
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ql = lcnt;
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lcnt++;
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}
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}
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flag = false;
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while(loop[pl].next >= 0)
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{
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pl = loop[pl].next;
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ql = loop[pl].e;
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if(ql == -1)
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break;
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if(ql == rda)
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{
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ret = (flag == (edge[rda].set == 'L'));
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}
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if(edge[ql].st == p)
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{
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edge[ql].flow += maxflow;
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if(!flag && (edge[ql].flow == edge[ql].upf))
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{
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edge[ql].set = 'U';
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flag = true;
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delete_tree(ql);
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}else{
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edge[ql].set = 'T';
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}
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p = edge[ql].ed;
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}else{
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edge[ql].flow -= maxflow;
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if(!flag && (edge[ql].flow == edge[ql].low))
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{
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edge[ql].set = 'L';
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flag = true;
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delete_tree(ql);
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}else{
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edge[ql].set = 'T';
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}
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p = edge[ql].st;
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}
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}
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return ret;
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}
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bool NSMCalc(int &cost)
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{
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int rda, i;
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M_init();
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calc_pi(0, 0, 0, -1);
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rda = (search_ ? calc_dual1() : calc_dual2());
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while(rda >= 0)
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{
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int j;
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insert_tree(rda);
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if(augment(rda))
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{
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i = edge[rda].st;
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j = edge[rda].ed;
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calc_pi(i, node[j].pi + edge[rda].cost, node[j].depth + 1, rda);
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}else{
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i = edge[rda].ed;
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j = edge[rda].st;
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calc_pi(i, node[j].pi - edge[rda].cost, node[j].depth + 1, rda);
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}
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rda = (search_ ? calc_dual1() : calc_dual2());
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}
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for(i=ecnt;i<ecnt2;i++)
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{
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if(edge[i].flow > 0)
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return false;
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}
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cost = 0;
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for(i=0;i<ecnt;i++)
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{
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cost += edge[i].flow * edge[i].cost;
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}
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return true;
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}
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void init_graph(int pointnum, bool method)
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{
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int i;
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ncnt = pointnum;
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ecnt = 0;
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sece = 0;
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for(i=0;i<=ncnt;i++)
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{
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node[i].d = 0;
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node[i].head = -1;
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node[i].tail = -1;
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node[i].pred = -1;
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node[i].pi = 0;
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node[i].depth = 0;
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}
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search_method = method;
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}
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inline char getc(){
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static const int BUFLEN = 1 << 15;
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static char B[BUFLEN], *S = B, *T = B;
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if(S == T){
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S = B;
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T = S + fread(B, 1, BUFLEN, stdin);
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}
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return (S == T) ? 0 : *(S ++);
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}
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int ReadInt(){
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char ch;
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do ch = getc(); while(!isdigit(ch));
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int aa = ch - '0';
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for(ch = getc(); isdigit(ch); ch = getc())
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aa = aa * 10 + ch - '0';
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return aa;
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}
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int calc(){
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int i, j;
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int ret, mxv;
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init_graph(N * 2 + 3, false);
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addedge(0, 1, 0, 2, 0, ecnt);
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for(i = 1; i <= N; i ++){
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addedge(1, i + 1, 0, 1, 0, ecnt);
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addedge(i + N + 1, N * 2 + 2, 0, 1, 0, ecnt);
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addedge(i + 1, i + N + 1, 0, 1, -1, ecnt);
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}
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for(i = 1; i <= N; i ++){
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mxv = 0x3fffffff;
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for(j = i + 1; j <= N; j ++){
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if(arr[j].D < arr[i].D || arr[j].D >= mxv)
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continue;
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addedge(i + N + 1, j + 1, 0, 1, 0, ecnt);
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addedge(i + 1, j + 1, 0, 1, 0, ecnt);
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mxv = arr[j].D;
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}
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}
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node[0].d = 2;
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node[N * 2 + 2].d = -2;
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NSMCalc(ret);
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return - ret;
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}
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bool deal1(){
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int i;
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for(i = 1; i <= N; i ++){
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if(arr[i + 1].D < arr[i].D)
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return false;
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}
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printf("%d\n", N);
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return true;
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}
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void domain(){
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int i, ans = 0;
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N = ReadInt();
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for(i = 1; i <= N; i ++){
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arr[i].H = ReadInt();
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arr[i].D = ReadInt();
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}
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sort(arr + 1, arr + N + 1);
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dvn = 0;
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for(i = 1; i <= N; i ++){
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dval[dvn ++] = arr[i].D;
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}
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sort(dval, dval + dvn);
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dvn = unique(dval, dval + dvn) - dval;
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for(i = 1; i <= N; i ++){
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arr[i].D = lower_bound(dval, dval + dvn, arr[i].D) - dval + 1;
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}
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ans = calc();
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printf("%d\n", ans);
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}
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int main(){
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int T = ReadInt();
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while(T --){
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domain();
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}
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return 0;
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}
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