[HDOJ6149] Valley Numer II(枚举,状压DP)

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=6149

比赛时这题想歪到最大流了,实际上高点至多只有15个。因此可以枚举低点,再枚举低点相连的高点做dp。

f(i,j)代表前i个低点,此时高点使用状态为j时的最多三元组数。事先预处理每一个高点在bit位中的位置,dp的时候直接枚举任意两个不等的高点,此时状态st,再枚举所有状态,把j^st的状态更新到j上就行,因为低点可能有间隔,所以用滚动数组即可。

  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 <cassert>
 24 #include <cstdio>
 25 #include <bitset>
 26 #include <vector>
 27 #include <deque>
 28 #include <queue>
 29 #include <stack>
 30 #include <ctime>
 31 #include <set>
 32 #include <map>
 33 #include <cmath>
 34 using namespace std;
 35 #define fr first
 36 #define sc second
 37 #define cl clear
 38 #define BUG puts("here!!!")
 39 #define W(a) while(a--)
 40 #define pb(a) push_back(a)
 41 #define Rint(a) scanf("%d", &a)
 42 #define Rll(a) scanf("%lld", &a)
 43 #define Rs(a) scanf("%s", a)
 44 #define Cin(a) cin >> a
 45 #define FRead() freopen("in", "r", stdin)
 46 #define FWrite() freopen("out", "w", stdout)
 47 #define Rep(i, len) for(int i = 0; i < (len); i++)
 48 #define For(i, a, len) for(int i = (a); i < (len); i++)
 49 #define Cls(a) memset((a), 0, sizeof(a))
 50 #define Clr(a, x) memset((a), (x), sizeof(a))
 51 #define Full(a) memset((a), 0x7f7f7f, sizeof(a))
 52 #define lrt rt << 1
 53 #define rrt rt << 1 | 1
 54 #define pi 3.14159265359
 55 #define RT return
 56 #define lowbit(x) x & (-x)
 57 #define onenum(x) __builtin_popcount(x)
 58 typedef long long LL;
 59 typedef long double LD;
 60 typedef unsigned long long ULL;
 61 typedef pair<int, int> pii;
 62 typedef pair<string, int> psi;
 63 typedef pair<LL, LL> pll;
 64 typedef map<string, int> msi;
 65 typedef vector<int> vi;
 66 typedef vector<LL> vl;
 67 typedef vector<vl> vvl;
 68 typedef vector<bool> vb;
 69 
 70 const int maxn = 33;
 71 const int maxm = 1 << 16;
 72 int n, m, k, f[2][maxm];
 73 int mask[maxn];
 74 vi G[maxn];
 75 
 76 signed main() {
 77     // FRead();
 78     int T, u, v;
 79     Rint(T);
 80     W(T) {
 81         Clr(mask, -1); Cls(f);
 82         Rint(n); Rint(m); Rint(k);
 83         Rep(i, n) G[i].clear();
 84         Rep(i, m) {
 85             Rint(u); Rint(v); u--, v--;
 86             G[u].pb(v); G[v].pb(u);
 87         }
 88         Rep(i, k) Rint(u), mask[--u] = i;
 89         int kk = 1 << k;
 90         Rep(i, n) {
 91             if(mask[i] != -1) continue;
 92             Rep(j, kk) f[1][j] = f[0][j];
 93             for(auto u : G[i]) {
 94                 for(auto v : G[i]) {
 95                     if(u == v) continue;
 96                     if(mask[u] == -1 || mask[v] == -1) continue;
 97                     int st = (1 << mask[u]) | (1 << mask[v]);
 98                     Rep(j, kk) {
 99                         if((j & st) == st) {
100                             f[0][j] = max(f[0][j], f[1][j^st]+1);
101                         }
102                     }
103                 }
104             }
105         }
106         printf("%d
", f[0][kk-1]);
107     }
108     RT 0;
109 }
原文地址:https://www.cnblogs.com/kirai/p/7395817.html