POJ 1185 炮兵阵地

gaiStateDp[i][j][k] = max{gaiStateDp[i-1][k][p]+c[j]},(枚举p的每种状态) 
gaiStateDp[i][j][k]表示第i行状态为aiState[j],第i-1行状态为aiState[k]的最大炮兵数,且aiState[j],aiState[k],aiState[p]及地形之间互不冲突.

 

/*炮兵阵地Time Limit: 2000MS Memory Limit: 65536K Total Submissions: 8514 Accepted: 2986 Description司令部的将军们打算在N*M的网格地图上部署他们的炮兵部队。一个N*M的地图由N行M列组成，地图的每一格可能是山地（用"H" 表示），也可能是平原（用"P"表示），如下图。在每一格平原地形上最多可以布置一支炮兵部队（山地上不能够部署炮兵部队）；一支炮兵部队在地图上的攻击范围如图中黑色区域所示： 如果在地图中的灰色所标识的平原上部署一支炮兵部队，则图中的黑色的网格表示它能够攻击到的区域：沿横向左右各两格，沿纵向上下各两格。图上其它白色网格均攻击不到。从图上可见炮兵的攻击范围不受地形的影响。 现在，将军们规划如何部署炮兵部队，在防止误伤的前提下（保证任何两支炮兵部队之间不能互相攻击，即任何一支炮兵部队都不在其他支炮兵部队的攻击范围内），在整个地图区域内最多能够摆放多少我军的炮兵部队。 Input第一行包含两个由空格分割开的正整数，分别表示N和M； 接下来的N行，每一行含有连续的M个字符('P'或者'H')，中间没有空格。按顺序表示地图中每一行的数据。N <= 100；M <= 10。Output仅一行，包含一个整数K，表示最多能摆放的炮兵部队的数量。Sample Input5 4PHPPPPHHPPPPPHPPPHHPSample Output6*/#include <stdio.h>#include "string.h"#define MAX_ROW_NUM 100#define MAX_STATE_NUM 60#define MAX(a,b) (((a) > (b)) ? (a) : (b))typedef struct _POSSIBLE_STATE_ST_{int iStateNum;int aiState[MAX_STATE_NUM];int aiState1Num[MAX_STATE_NUM];/*1的个数*/}POSSIBLE_STATE_ST;int gaiMap[MAX_ROW_NUM];int gaiStateDp[MAX_ROW_NUM][MAX_STATE_NUM][MAX_STATE_NUM];POSSIBLE_STATE_ST gstPossibleState;int ArtilleryPositionmain(void){char acInputBuff[11];int iM;int iN;int iInvalidState;int iLoopM;int iLoopN;int iStateNum;int iLoop;int iLoopState;int iLoopPreLineState;int iLoopPrePreLineState;int iResult = 0;int iMaxPreNum;int iTempState;memset(gaiMap,0,MAX_ROW_NUM*sizeof(int));memset(gaiStateDp,0,MAX_STATE_NUM*MAX_ROW_NUM*sizeof(int));/*input*/scanf("%d %d",&iN,&iM);for (iLoopN = 0; iLoopN < iN; iLoopN++){scanf("%s",acInputBuff);for (iLoopM = 0; iLoopM < iM; iLoopM++){gaiMap[iLoopN] = gaiMap[iLoopN]<<1;gaiMap[iLoopN] |= ('H' == acInputBuff[iLoopM]);}}iStateNum = (1<<iM);/*init possible state*/gstPossibleState.iStateNum = 0;for (iLoopState = 0; iLoopState < iStateNum; iLoopState++){iInvalidState = 3;//11Bfor (iLoop = 0; iLoop < iM-1; iLoop++){if(iInvalidState == (iInvalidState&iLoopState)){break;}iInvalidState = iInvalidState<<1;}if (iLoop < iM-1){continue;}iInvalidState = 5;//101Bfor (iLoop = 0; iLoop < iM-2; iLoop++){if(iInvalidState == (iInvalidState&iLoopState)){break;}iInvalidState = iInvalidState<<1;}if (iLoop < iM-2){continue;}iTempState = iLoopState;gstPossibleState.aiState1Num[gstPossibleState.iStateNum] = 0;while(iTempState){iTempState &= (iTempState-1);gstPossibleState.aiState1Num[gstPossibleState.iStateNum]++;}gstPossibleState.aiState[gstPossibleState.iStateNum] = iLoopState;gstPossibleState.iStateNum++;}/*resolve*/for (iLoopN = 0; iLoopN < iN; iLoopN++){for (iLoopState = 0; iLoopState < gstPossibleState.iStateNum; iLoopState++){/*hill*/if (0 != (gaiMap[iLoopN]&gstPossibleState.aiState[iLoopState])){continue;}if (0 == iLoopN){gaiStateDp[0][iLoopState][0] = gstPossibleState.aiState1Num[iLoopState];}else if (1 == iLoopN){for (iLoopPreLineState = 0; iLoopPreLineState < gstPossibleState.iStateNum; iLoopPreLineState++){/*hill*/if (0 != (gaiMap[0]&gstPossibleState.aiState[iLoopPreLineState])){continue;}if (0 <= gaiStateDp[0][iLoopPreLineState][0]&&0 == (gstPossibleState.aiState[iLoopPreLineState]&gstPossibleState.aiState[iLoopState])){gaiStateDp[iLoopN][iLoopState][iLoopPreLineState] = gstPossibleState.aiState1Num[iLoopState]+gaiStateDp[0][iLoopPreLineState][0];}}}else{for (iLoopPreLineState = 0; iLoopPreLineState < gstPossibleState.iStateNum; iLoopPreLineState++){/*hill*/if (0 != (gaiMap[iLoopN-1]&gstPossibleState.aiState[iLoopPreLineState])){continue;}iMaxPreNum = 0;for (iLoopPrePreLineState = 0; iLoopPrePreLineState < gstPossibleState.iStateNum; iLoopPrePreLineState++){/*hill*/if (0 != (gaiMap[iLoopN-2]&gstPossibleState.aiState[iLoopPrePreLineState])){continue;}if (0 == (gstPossibleState.aiState[iLoopPreLineState]&gstPossibleState.aiState[iLoopState])&&0 == (gstPossibleState.aiState[iLoopPrePreLineState]&gstPossibleState.aiState[iLoopState])&&0 == (gstPossibleState.aiState[iLoopPrePreLineState]&gstPossibleState.aiState[iLoopPreLineState])){iMaxPreNum = MAX(iMaxPreNum,gaiStateDp[iLoopN-1][iLoopPreLineState][iLoopPrePreLineState]);}}gaiStateDp[iLoopN][iLoopState][iLoopPreLineState] = gstPossibleState.aiState1Num[iLoopState]+iMaxPreNum;}}}}for (iLoopState = 0; iLoopState < gstPossibleState.iStateNum; iLoopState++){for (iLoop = 0; iLoop < gstPossibleState.iStateNum; iLoop++){iResult = MAX(iResult,gaiStateDp[iN-1][iLoopState][iLoop]);}}printf("%d/n",iResult);return 0;}