• [POJ1185]炮兵阵地(状压DP)


    题目链接:http://poj.org/problem?id=1185

    这个和之前的不一样,在于某个点影响的范围是两格。那么dp(cur,pre,i)表示第i行状态为cur,i-1行状态为pre时可以有多少种放法。转移的时候枚举ppre,就是i-2行即可。照葫芦画瓢

      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(int i = 0; i < (len); i++)
     49 #define For(i, a, len) for(int 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 Full(a) memset((a), 0x7f7f7f, 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 onecnt(x) __builtin_popcount(x)
     59 typedef long long LL;
     60 typedef long double LD;
     61 typedef unsigned long long ULL;
     62 typedef pair<int, int> pii;
     63 typedef pair<string, int> psi;
     64 typedef pair<LL, LL> pll;
     65 typedef map<string, int> msi;
     66 typedef vector<int> vi;
     67 typedef vector<LL> vl;
     68 typedef vector<vl> vvl;
     69 typedef vector<bool> vb;
     70 
     71 const int maxn = 101;
     72 const int maxm = 11;
     73 char tmp[maxm];
     74 int dp[1<<maxm][1<<maxm][maxn];
     75 int G[maxn];
     76 int n, m;
     77 
     78 bool ok(int x, int i) {
     79     if((x & G[i]) != x) return 0;
     80     if((x << 1) & x != 0) return 0;
     81     if((x << 2) & x != 0) return 0;
     82     return 1;
     83 }
     84 
     85 signed main() {
     86     // FRead();
     87     while(~scanf("%d%d",&n,&m)) {
     88         Cls(G);
     89         int mm = 1 << m;
     90         For(i, 1, n+1) {
     91             Rs(tmp);
     92             for(int j = m - 1; j >= 0; j--) {
     93                 G[i] <<= 1;
     94                 G[i] |= (tmp[j] == 'P' ? 1 : 0);
     95             }
     96         }
     97         Rep(i, mm) { if(!ok(i, 1)) continue;
     98             dp[i][0][1] = __builtin_popcount(i);
     99         }
    100         Rep(i, mm) { if(!ok(i, 1)) continue;
    101             Rep(j, mm) { if(!ok(j, 2)) continue;
    102                 if(i & j) continue;
    103                 dp[i][j][2] = max(dp[i][j][2], dp[i][0][1] + __builtin_popcount(i));
    104             }
    105         }
    106         For(i, 3, n+1) {
    107             Rep(cur, mm) { if(!ok(cur, i)) continue;
    108                 Rep(pre, mm) { if(!ok(pre, i-1)) continue;
    109                     if(cur & pre) continue;
    110                     Rep(ppre, mm) {
    111                         if((cur & pre) || (cur & ppre) || (pre & ppre)) continue;
    112                         dp[cur][pre][i] = max(dp[cur][pre][i], dp[pre][ppre][i-1] + __builtin_popcount(cur));
    113                     }
    114                 }
    115             }
    116         }
    117         int ret = 0;
    118         Rep(i, mm) {
    119             Rep(j, mm) {
    120                 ret = max(ret, dp[i][j][n]);
    121             }
    122         }
    123         printf("%d
    ", ret);
    124     }
    125     RT 0;
    126 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5877003.html
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