/*
叠箱子问题：
dp[i][j] := 第i个箱子到第n个箱子叠放起来总重量为j，所能叠放的最多箱子数
dp[i][j] = max(dp[i][j], dp[i+1][j - weight[i]] + 1)
*/
1 #include <iostream>
2 #include <fstream>
3 #include <sstream>
4 #include <cstdlib>
5 #include <cstdio>
6 #include <cstddef>
7 #include <iterator>
8 #include <algorithm>
9 #include <string>
10 #include <locale>
11 #include <cmath>
12 #include <vector>
13 #include <cstring>
14 #include <map>
15 #include <utility>
16 #include <queue>
17 #include <stack>
18 #include <set>
19 #include <functional>
20 using namespace std;
21 typedef pair<int, int> PII;
22 typedef long long int64;
23 const int INF = 0x3f3f3f3f;
24 const int modPrime = 3046721;
25 const double eps = 1e-9;
26 const int MaxN = 100010;
27 const int MaxM = 30;
28 const char Opt[4] = { '+', '-', '*', '/' };
29
30 int dp[6010];
31 /*
32 pW: 从1号到n号的自身重量(1 <= Wn <= 3000)
33 pM: 从1号到n号的可承受重量(1 <= Mn <= 3000)
34 返回值: 一次所能叠放的最多箱子数
35 */
36 int CalcMaxNum(int n, int * pW, int * pM)
37 {
38 if ((n < 1) || (n > 900) || (NULL == pW) || (NULL == pM))
39 {
40 return 0;
41 }
42
43 int maxTotalWeight = 6000;
44 fill(dp, dp + maxTotalWeight + 1, 0);
45
46 for (int i = n - 1; i >= 0; --i)
47 {
48 for (int j = maxTotalWeight; j >= 0; --j)
49 {
50 if ((j >= pW[i]) && (j - pW[i] <= pM[i]))
51 {
52 dp[j] = max(dp[j], dp[j - pW[i]] + 1);
53 }
54 }
55 }
56 int ans = *max_element(dp, dp + maxTotalWeight + 1);
57 return ans;
58 }
59
60
61
62 int main()
63 {
64 #ifdef HOME
65 freopen("in", "r", stdin);
66 //freopen("out", "w", stdout);
67 #endif
68
69 int ws[] = {
70 19, 7, 5, 6, 1 };
71 int ms[] = {
72 15, 13, 7, 8, 2 };
73 int ret = CalcMaxNum(5,
74 ws,
75 ms);
76 (ret == 4);
77
78 #ifdef HOME
79 cerr << "Time elapsed: " << clock() / CLOCKS_PER_SEC << " ms" << endl;
80 _CrtDumpMemoryLeaks();
81 #endif
82 return 0;
83 }