[NYIST16]矩形嵌套（DP，最长上升子序列）

Posted 2020-07-23

题目链接：http://acm.nyist.net/JudgeOnline/problem.php?pid=16

像套娃一样把矩形套起来。先给矩形从小到大排序，然后做最长上升子序列就行

  1 /*
  2 ━━━━━┒ギリギリ♂ eye！
  3 ┓┏┓┏┓┃キリキリ♂ mind！
  4 ┛┗┛┗┛┃＼○／
  5 ┓┏┓┏┓┃ /
  6 ┛┗┛┗┛┃ノ)
  7 ┓┏┓┏┓┃
  8 ┛┗┛┗┛┃
  9 ┓┏┓┏┓┃
 10 ┛┗┛┗┛┃
 11 ┓┏┓┏┓┃
 12 ┛┗┛┗┛┃
 13 ┓┏┓┏┓┃
 14 ┃┃┃┃┃┃
 15 ┻┻┻┻┻┻
 16 */
 17 #include <algorithm>
 18 #include <iostream>
 19 #include <iomanip>
 20 #include <cstring>
 21 #include <climits>
 22 #include <complex>
 23 #include <fstream>
 24 #include <cassert>
 25 #include <cstdio>
 26 #include <bitset>
 27 #include <vector>
 28 #include <deque>
 29 #include <queue>
 30 #include <stack>
 31 #include <ctime>
 32 #include <set>
 33 #include <map>
 34 #include <cmath>
 35 using namespace std;
 36 #define fr first
 37 #define sc second
 38 #define cl clear
 39 #define BUG puts("here!!!")
 40 #define W(a) while(a--)
 41 #define pb(a) push_back(a)
 42 #define Rint(a) scanf("%d", &a)
 43 #define Rll(a) scanf("%I64d", &a)
 44 #define Rs(a) scanf("%s", a)
 45 #define Cin(a) cin >> a
 46 #define FRead() freopen("in", "r", stdin)
 47 #define FWrite() freopen("out", "w", stdout)
 48 #define Rep(i, len) for(LL i = 0; i < (len); i++)
 49 #define For(i, a, len) for(LL i = (a); i < (len); i++)
 50 #define Cls(a) memset((a), 0, sizeof(a))
 51 #define Clr(a, x) memset((a), (x), sizeof(a))
 52 #define Fuint(a) memset((a), 0x7f7f, sizeof(a))
 53 #define lrt rt << 1
 54 #define rrt rt << 1 | 1
 55 #define pi 3.14159265359
 56 #define RT return
 57 #define lowbit(x) x & (-x)
 58 #define onenum(x) __builtin_popcount(x)
 59 typedef long long LL;
 60 typedef long double LD;
 61 typedef unsigned long long Uint;
 62 typedef pair<LL, LL> pii;
 63 typedef pair<string, LL> psi;
 64 typedef map<string, LL> msi;
 65 typedef vector<LL> vi;
 66 typedef vector<LL> vl;
 67 typedef vector<vl> vvl;
 68 typedef vector<bool> vb;
 69 
 70 typedef struct Square {
 71     int x, y;
 72     Square() {}
 73     Square(int xx, int yy) : x(xx), y(yy) {}
 74 }Square;
 75 
 76 const int maxn = 1010;
 77 Square s[maxn];
 78 int n;
 79 int dp[maxn];
 80 
 81 bool cmp(Square a, Square b) {
 82     if(a.x == b.x) return a.y <= b.y;
 83     return a.x < b.x;
 84 }
 85 
 86 bool ok(Square a, Square b) {
 87     return a.x > b.x && a.y > b.y;
 88 }
 89 
 90 int main() {
 91     // FRead();
 92     int T, x, y;
 93     Rint(T);
 94     W(T) {
 95         Cls(dp);
 96         Rint(n);
 97         For(i, 1, n+1) {
 98             Rint(x); Rint(y);
 99             if(x > y) swap(x, y);
100             s[i] = Square(x, y);
101         }
102         sort(s+1, s+n+1, cmp);
103         int ret = 0;
104         For(i, 2, n+1) {
105             dp[i] = 0;
106             For(j, 1, i+1) {
107                 if(ok(s[i], s[j])) {
108                     dp[i] = max(dp[i], dp[j]+1);
109                 }
110             }
111             ret = max(dp[i], ret);
112         }
113         printf("%d\n", ret+1);
114     }
115     RT 0;
116 }