/****************************************************************************************************經典DP，LIS，最長上升子序列 ****************************************************************************************************/ #include <iostream> #include <iomanip> #include <functional> #include <algorithm> #include <complex> #include <cstdlib> #include <cstring> #include <fstream> #include <sstream> #include <utility> #include <bitset> #include <cctype> #include <cstdio> #include <limits> #include <memory> #include <string> #include <vector> #include <cmath> #include <ctime> #include <queue> #include <stack> #include <list> #include <map> #include <set> using namespace std;#define LOWBIT(x) ( (x) & ( (x) ^ ( (x) - 1 ) ) ) #define CLR(x, k) memset((x), (k), sizeof(x)) #define CPY(t, s) memcpy((t), (s), sizeof(s)) #define SC(t, s) static_cast<t>(s) #define LEN(s) static_cast<int>( strlen((s)) ) #define SZ(s) static_cast<int>( (s).size() )typedef double LF; //typedef long long LL; //GNU C++ //typedef unsigned long long ULL; typedef __int64 LL; //Visual C++ 2010 typedef unsigned __int64 ULL;typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef pair<double, double> PDD;typedef map<int, int>::iterator MI; typedef vector<int>::iterator VI; typedef list<int>::iterator LI; typedef set<int>::iterator SI;template <typename T> T sqa(const T &x) {return x * x; } template <typename T> T gcd(T a, T b) {if (!a || !b){return max(a, b);}T t;while (t = a % b){a = b;b = t;}return b; } template <typename T> T ext_gcd(T a, T b, T &x, T &y) {if (!b){x = 1;y = 0;return a;}T d = ext_gcd(b, a % b, x, y);T t = x; x = y;y = t - a / b * y;return d; } template <typename T> T invmod(T a, T p) {LL inv, y;ext_gcd(a, p, inv, y);inv < 0 ? inv += p : 0; return inv; }const int INF_INT = 0x3f3f3f3f; const LL INF_LL = 0x7fffffffffffffffLL; //15f const double oo = 10e9; const double eps = 10e-7; const double PI = acos(-1.0);#define ONLINE_JUDGEconst int MAXN = 504; const int loop[][3] = {{0, 1, 2}, {0, 2, 1}, {2, 1, 0}};int n, cube[MAXN][3]; int dp[MAXN]; struct Node {int x, y, z;int s;bool operator < (const Node &rhs) const{return x < rhs.x && y < rhs.y || x < rhs.y && y < rhs.x;}bool operator > (const Node &rhs) const{return x > rhs.x && y > rhs.y || x > rhs.y && y > rhs.x;} }node[MAXN], tmp[MAXN];bool inline nodeCmp(const Node &na, const Node &nb) {return na.s < nb.s; } void ace() {int cas = 1;int ncnt;while (cin >> n, n){for (int i = 0; i < n; ++i){for (int j = 0; j < 3; ++j){cin >> cube[i][j];}}for (int i = 0; i < n; ++i){for (int j = 0; j < 3; ++j) //因為立方體是無限的，但是x,y相同的立方體只可能出現一次{int k = i * 3 + j;node[k].x = cube[i][ loop[j][0] ];node[k].y = cube[i][ loop[j][1] ];node[k].z = cube[i][ loop[j][2] ];node[k].s = node[k].x * node[k].y;}}n *= 3;sort(node, node + n, nodeCmp); //對面積排序，盡量使小面積的在前面ncnt = 0;CLR(dp, 0);dp[0] = node[0].z; //dp數組記錄在當前第i個立方體放入后，以第i個立方體為底的高度for (int i = 1; i < n; ++i){int buf = 0;for (int j = 0; j < i; ++j) {if (node[i] > node[j] && buf < dp[j]) //顯然應該找之前最高的，因為只要保證node[i] > node[j]{ //那么i之前的狀態對于i來說是無關的 buf = dp[j];}}dp[i] = buf + node[i].z;}int res = 0;for (int i = 0; i < n; ++i){res = max(res, dp[i]);}printf("Case %d: maximum height = %d\n", cas++, res);}return ; } int main() { #ifndef ONLINE_JUDGEfreopen("in.txt", "r", stdin); #endiface();return 0; }

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