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            USACO 1.5 Checker Challenge

            回溯法,要利用解的對稱特性來優化

            #include?<stdio.h>
            #include?
            <string.h>
            #include?
            <stdlib.h>

            typedef?
            int?bool;
            #define?true?1
            #define?false?0?

            int?pos[13];
            bool?row_status[13];
            int?total?=?0;
            int?n;

            void?backtracing(int?depth);

            void?solve()
            {

            #ifndef?_DEBUG
            ????freopen(
            "checker.in","r",stdin);
            ????freopen(
            "checker.out","w",stdout);
            #endif

            ????memset(pos,
            0,sizeof(pos));?
            ????memset(row_status,
            0,sizeof(row_status));

            ????scanf(
            "%d",&n);

            ????
            int?p;?
            ????
            int?t?=?n/2;
            ????
            for(p=0;p<t;++p){
            ????????pos[
            0]?=?p;
            ????????row_status[p]?
            =?true;
            ????????backtracing(
            1);
            ????????row_status[p]?
            =?false;
            ????}

            ????
            if(total<3){
            ????????
            for(p=t;p<n;++p){
            ????????????pos[
            0]?=?p;
            ????????????row_status[p]?
            =?true;
            ????????????backtracing(
            1);
            ????????????row_status[p]?
            =?false;
            ???????????}
            ????}
            else{
            ????????total
            +=total;
            ????????
            if(n%2!=0){
            ????????????pos[
            0]=t;
            ????????????row_status[t]?
            =?true;
            ????????????backtracing(
            1);
            ????????????row_status[t]?
            =?false;
            ????????}
            ????}

            ????printf(
            "%d\n",total);
            }

            bool?isok(int?depth,int?p)
            {
            ????
            int?i;

            ????
            if(row_status[p])
            ????????
            return?false;

            ????
            for(i=0;i<depth;++i){
            ????????
            if(abs(pos[i]-p)==abs(depth-i)?)
            ????????????
            return?false;
            ????}

            ????
            return?true;
            }

            void?backtracing(int?depth)
            {
            ????
            if(depth==n){
            ???????total
            ++;?
            ???????
            if(total<=3){
            ???????????
            int?i;
            ???????????
            for(i=0;i<n;++i){
            ???????????????
            if(i==0){
            ????????????????????printf(
            "%d",pos[i]+1);
            ???????????????}
            else{
            ????????????????????printf(
            "?%d",pos[i]+1);?
            ???????????????}
            ???????????}
            ???????????printf(
            "\n");
            ???????}
            ????}
            else{
            ????????
            int?i;
            ????????
            for(i=0;i<n;++i){
            ????????????
            if(?isok(depth,i)?){
            ????????????????pos[depth]?
            =?i;
            ????????????????row_status[i]
            =true;
            ????????????????backtracing(depth
            +1);
            ????????????????row_status[i]
            =false;
            ????????????}
            ????????}
            ????}
            }

            int?main(int?argc,char?*argv[])
            {
            ??solve();
            ??
            return?0;
            }


            posted on 2009-06-16 21:33 YZY 閱讀(951) 評論(0)  編輯 收藏 引用 所屬分類: AlgorithmUSACO

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