HDU 2159 FATE (二维背包)
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题意:中文题。
析:dp[i][j] 已经杀了 i 个怪兽,已经用了 j 体积,所能获得的最大经验值,这个和一维的差不多,只是加一维而已。
代码如下:
#pragma comment(linker, "/STACK:1024000000,1024000000") #include <cstdio> #include <string> #include <cstdlib> #include <cmath> #include <iostream> #include <cstring> #include <set> #include <queue> #include <algorithm> #include <vector> #include <map> #include <cctype> #include <cmath> #include <stack> //#include <tr1/unordered_map> #define freopenr freopen("in.txt", "r", stdin) #define freopenw freopen("out.txt", "w", stdout) using namespace std; //using namespace std :: tr1; typedef long long LL; typedef pair<int, int> P; const int INF = 0x3f3f3f3f; const double inf = 0x3f3f3f3f3f3f; const LL LNF = 0x3f3f3f3f3f3f; const double PI = acos(-1.0); const double eps = 1e-8; const int maxn = 1e2 + 5; const LL mod = 10000000000007; const int N = 1e6 + 5; const int dr[] = {-1, 0, 1, 0, 1, 1, -1, -1}; const int dc[] = {0, 1, 0, -1, 1, -1, 1, -1}; const char *Hex[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"}; inline LL gcd(LL a, LL b){ return b == 0 ? a : gcd(b, a%b); } int n, m; const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; inline int Min(int a, int b){ return a < b ? a : b; } inline int Max(int a, int b){ return a > b ? a : b; } inline LL Min(LL a, LL b){ return a < b ? a : b; } inline LL Max(LL a, LL b){ return a > b ? a : b; } inline bool is_in(int r, int c){ return r >= 0 && r < n && c >= 0 && c < m; } int dp[maxn][maxn]; int a[maxn], c[maxn]; int main(){ int q, s; while(scanf("%d %d %d %d", &n, &m, &q, &s) == 4){ for(int i = 0; i < q; ++i) scanf("%d %d", a+i, c+i); memset(dp, 0, sizeof dp); int ans = -1; for(int i = 1; i <= s; ++i){ for(int k = 0; k < q; ++k){ for(int j = c[k]; j <= m; ++j){ dp[i][j] = Max(dp[i][j], dp[i-1][j-c[k]] + a[k]); if(dp[i][j] >= n){ ans = Max(ans, m-j); break; } } } } printf("%d\n", ans); } return 0; }
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