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  • [POJ1050]To the Max(最大子矩阵,DP)

    题目链接:http://poj.org/problem?id=1050

    发现这个题没有写过题解,现在补上吧,思路挺经典的。

    思路就是枚举所有的连续的连续的行,比如1 2 3 4 12 23 34 45 123 234 345...然后把这些行对应列相加缩成一行,之后就是求最大子序列和了。

      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("%lld", &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 onenum(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 = 110;
     72 int G[maxn][maxn];
     73 int n;
     74 int dp[maxn];
     75 
     76 int lss() {
     77     int tmp = -0x7f7f7f, ret = -0x7f7f7f;
     78     For(i, 1, n+1) {
     79         if(tmp > 0) tmp += dp[i];
     80         else tmp = dp[i];
     81         ret = max(tmp, ret);
     82     }
     83     return ret;
     84 }
     85 
     86 int main() {
     87     // FRead();
     88     while(~Rint(n)) {
     89         For(i, 1, n+1) For(j, 1, n+1) Rint(G[i][j]);
     90         int ret = 0;
     91         For(i, 1, n+1) {
     92             Cls(dp);
     93             For(j, i, n+1) {
     94                 For(k, 1, n+1) dp[k] += G[j][k];
     95                 ret = max(ret, lss());
     96             }
     97         }
     98         printf("%d
    ", ret);
     99     }
    100     RT 0;
    101 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5595849.html
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