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1、把數(shù)碼問題(wnt)就是把一串數(shù)字變成下面這個樣子:1 2 38 0 4 7 6 5實現(xiàn)(shxin)方法1.過程(guchng)表示源代碼:#includestatic int style9=1,2,3,6,7,4,5,8,0;/輸入的數(shù)碼/2,5,4,3,0,7,1,8,6 3,2,1,8,0,4,7,6,5 1,0,4,2,7,3,8,5,6 1,0,3,8,2,4,7,6,5static int arrayStep416=5,4,3,6,7,8;/第四步和第六步共用的數(shù)組,所以設為全局量static int arrayStep714=3,6,7,4;static int local;/
2、空格的位置int i,j;/所用到的變量int number=0;/記錄移動步數(shù)void print();void step1();void step2();void step3();void step4();void step5();void step6();void step7();void step8();void step9();void exchange(int x,int y);void judge();void judge()/判斷空格位置number = 0;for(i=0;i9;i+)if(stylei=0)local=i;return;void exchange(int x
3、,int y)/交換(jiohun)兩個數(shù)int temp;print();temp=stylex;stylex=styley;styley=temp;local=y;number+;void step1()int arrayStep115=3,0,1,2,5;int arrayStep126=6,7,8,5,2,1;if(style2!=0)&style2!=1)return;elseif(local=2)if(style1=1)exchange(2,5);elseexchange(2,1);return;elseif(local=4)exchange(4,1);i=2;while(loca
4、l!=5)exchange(arrayStep11i,arrayStep11i+1);i+;return;for(i=0;i3;i+)if(arrayStep11i=local)while(local!=5)exchange(arrayStep11i,arrayStep11i+1);i+;return;for(i=0;i4;i+)if(arrayStep12i=local)while(local!=1)exchange(arrayStep12i,arrayStep12i+1);i+;return;return;void step2()int arrayStep218=0,3,6,7,8,5,4
5、,1;for(i=0;i8;i+)if(arrayStep21i=local)while(style0!=1)exchange(arrayStep21i%8,arrayStep21(i+1)%8);i+;break;void step3()int arrayStep318=2,1,4,3,6,7,8,5;for(i=0;i8;i+)if(arrayStep31i=local)while(style1!=2)exchange(arrayStep31i%8,arrayStep31(i+1)%8);i+;break;void step4()for(i=0;i6;i+)if(arrayStep41i=
6、local)while(style4!=3)exchange(arrayStep41i%6,arrayStep41(i+1)%6);i=(i+1)%6;while(local!=3)exchange(arrayStep41i%6,arrayStep41(i+5)%6);i=(i+5)%6;break;void step5()int arrayStep519=3,0,1,4,5,2,1,0,3;i=0;doexchange(arrayStep51i,arrayStep51i+1);i+;while(local!=3);void step6()for(i=0;i6;i+)if(arrayStep4
7、1i=local)while(style5!=4)exchange(arrayStep41i%6,arrayStep41(i+1)%6);i+;if(local=8)exchange(8,7);break;return;void step7()for(i=0;i4;i+)if(arrayStep71i=local)while(style4!=5)exchange(arrayStep71i%4,arrayStep71(i+1)%4);i=(i+1)%4;while(local!=3)exchange(arrayStep71i%4,arrayStep71(i+3)%4);i=(i+3)%4;bre
8、ak;void step8()int arrayStep8113=3,0,1,2,5,4,7,8,5,2,1,0,3;i=0;doexchange(arrayStep81i,arrayStep81i+1);i+;while(local!=3);void step9()for(i=0;i4;i+)if(arrayStep71i=local)while(style7!=6)exchange(arrayStep71i%4,arrayStep71(i+1)%4);i=(i+1)%4;while(local!=4)exchange(arrayStep71i%4,arrayStep71(i+3)%4);i
9、=(i+3)%4;break;void print()for(j=0;j9;j+)if(stylej=0)printf( t);elseprintf(%dt,stylej);if(j+1)%3=0)printf(n);printf(* %d *n,number);void loop()printf(請輸入(shr)數(shù)碼:n);for(i=0;i9;i+)scanf(%d,&stylei);judge();step1();step2();step3();if(style2!=3)step4();step5();step6();if(style8!=5)step7();step8();step9(
10、);print();if(!(style3=8)&(style6=7)printf(用書上所給算法(sun f)來看此數(shù)碼錯誤!n);void main()while(1)loop();深度優(yōu)先(yuxin)實現(xiàn)/*說明(shumng)* 用寬度優(yōu)先搜索算法實現(xiàn)八數(shù)碼問題 */#include#include#include#include #include string.h #include assert.h #include windows.h using namespace std;int wholeStyle9 = 2,8,3,1,6,4,7,0,5;int standard19 =
11、1,2,3,8,0,4,7,6,5;int local,i,j;int startKey = 0,endKey = 0,equalKey = 1,tempSpace;struct node *openHead,*open; /open表struct node *closedHead,*closed; /closed表struct node *tempNode; /臨時(ln sh)節(jié)點struct node *answer; /找到的路徑(ljng)int num = 0;struct nodeint style9;struct node *next;struct node *father;v
12、oid updateData() /更新(gngxn)要判斷數(shù)據(jù)int i;printf(請輸入八數(shù)碼原始狀態(tài):n);for(i = 0;i 9;i+)scanf(%d,&wholeStylei);printf(請輸入八數(shù)碼最終狀態(tài):n);for(i = 0;i 9;i+)scanf(%d,&standard1i);void judge1(struct node *head)/判斷空格位置for(i = 0;i stylei = 0)local = i;return;int judge2(struct node *head) /判斷是否與標準八數(shù)碼相等,不相等返回值為0for(i = 0;i
13、stylei != standard1i)if(i = 3)&(head-style3 = standard16);else if(i = 6)&(head-style6 = standard13);else return 0;return 1;void judge3() /判斷新生成的八數(shù)碼是否就是最終狀態(tài)(zhungti)或者在open、closed表中出現(xiàn)if(judge2(tempNode)endKey = 1;elsewhile(openHead-next-next-style0 != 9)for(i = 0;i next-next-stylei != tempNode-stylei
14、)equalKey = 1;break;elseequalKey = 0;if(equalKey)/不相等(xingdng)openHead = openHead-next;elsebreak;openHead = open-next;if(equalKey)/不相等(xingdng)while(closedHead-next-style0 != 9)for(i = 0;i next-stylei != tempNode-stylei)equalKey = 1;break;elseequalKey = 0;if(!equalKey)/相等(xingdng)break;elseclosedHea
15、d = closedHead-next;closedHead = closed-next;if(equalKey)/不相等(xingdng)open-next = tempNode;tempNode-next = openHead;tempNode-father = openHead-next;open = open-next;void print(struct node *temp) /輸出(shch)八數(shù)碼表for(j = 0;j stylej = 0)printf( t);elseprintf(%dt,temp-stylej);if(j + 1) % 3 = 0)printf(n);vo
16、id write2txt()ofstream out(F:out_details.txt,ios:app);if( out.fail() )cerr未找到文件endl;out 第+num步n;outnext-style0 != 9)for(i = 0;i 9;i +)outnext-styleit;if(i+1) % 3 = 0)outn;outnext;openHead = openHead-next;out*n;outnext-style0 != 9)for(i = 0;i 9;i +)outnext-styleit;if(i + 1) % 3 =0)outn;outnext;closed
17、Head = closedHead-next;out-n;out.close();void main()/updateData();/輸入(shr)八數(shù)碼數(shù)據(jù)for(i = 0;i style0 = 9;openHead-next = open;for(i = 0;i stylei = wholeStylei;open-next = openHead;open-father = openHead;closedHead = new node();closed = new node();closedHead-style0 = 9;closedHead-next = closedHead;close
18、d = closedHead;while(open-style0 != 9)/當open表不為空時一直(yzh)循環(huán)judge1(openHead-next);if(local % 3 0)/右移equalKey = 1;tempNode = new node();for(i = 0;i stylei = openHead-next-stylei;tempSpace = tempNode-stylelocal - 1;tempNode-stylelocal - 1 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if
19、(endKey)break;if(local 2)/下移equalKey = 1;tempNode = new node();for(i = 0;i stylei = openHead-next-stylei;tempSpace = tempNode-stylelocal - 3;tempNode-stylelocal - 3 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;if(local % 3 2)/左移equalKey = 1;tempNode = new node();for
20、(i = 0;i stylei = openHead-next-stylei;tempSpace = tempNode-stylelocal + 1;tempNode-stylelocal + 1 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;if(local 6)/上移equalKey = 1;tempNode = new node();/tempNode = malloc(sizeof(struct node);for(i = 0;i stylei = openHead-next
21、-stylei;tempSpace = tempNode-stylelocal + 3;tempNode-stylelocal + 3 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;closed-next = openHead-next;/把open的標頭添加(tin ji)到closed表中openHead-next = openHead-next-next; closed = closed-next;closed-next = closedHead;write2txt();ope
22、n-next = tempNode;/把找到的新節(jié)點(ji din)添加到open表中tempNode-next = openHead;tempNode-father = openHead-next;open = open-next;closed-next = openHead-next;/把open的標頭添加(tin ji)到closed表中openHead-next = openHead-next-next; closed = closed-next;closed-next = closedHead;write2txt();answer = new node();tempNode = ne
23、w node();tempNode = open;while(tempNode-style0 != 9)/將結果路徑存于answeranswer = tempNode;tempNode = tempNode-father;tempNode-next = answer;num = 0;while(answer-next-style0 != 9)/輸出answerprintf(*第%d步*n,num+);print(answer);answer = answer-next;printf(n);printf(*第%d步*n,num+);print(answer);if(answer-style3 !
24、= standard13)printf(n!輸入的八數(shù)碼不合法,不能從初始狀態(tài)到最終狀態(tài)nnnn);return;寬度(kund)優(yōu)先:/*說明(shumng)* 用寬度(kund)優(yōu)先搜索算法實現(xiàn)八數(shù)碼問題 */#include#include#include#include #include string.h #include assert.h #include windows.h using namespace std;int wholeStyle9 = 2,8,3,1,6,4,7,0,5;int standard19 = 1,2,3,8,0,4,7,6,5;int local,i,j;
25、int startKey = 0,endKey = 0,equalKey = 1,tempSpace;struct node *openHead,*open; /open表struct node *closedHead,*closed; /closed表struct node *tempNode; /臨時節(jié)點struct node *answer; /找到的路徑int num = 0;struct nodeint style9;struct node *next;struct node *father;void updateData() /更新要判斷數(shù)據(jù)int i;printf(請輸入八數(shù)碼原
26、始狀態(tài):n);for(i = 0;i 9;i+)scanf(%d,&wholeStylei);printf(請輸入八數(shù)碼最終狀態(tài):n);for(i = 0;i 9;i+)scanf(%d,&standard1i);void judge1(struct node *head)/判斷(pndun)空格位置for(i = 0;i stylei = 0)local = i;return;int judge2(struct node *head) /判斷是否與標準(biozhn)八數(shù)碼相等,不相等返回值為0for(i = 0;i stylei != standard1i)if(i = 3)&(head-
27、style3 = standard16);else if(i = 6)&(head-style6 = standard13);else return 0;return 1;void judge3() /判斷新生成的八數(shù)碼是否(sh fu)就是最終狀態(tài)或者在open、closed表中出現(xiàn)if(judge2(tempNode)endKey = 1;elsewhile(openHead-next-next-style0 != 9)for(i = 0;i next-next-stylei != tempNode-stylei)equalKey = 1;break;elseequalKey = 0;if
28、(equalKey)/不相等(xingdng)openHead = openHead-next;elsebreak;openHead = open-next;if(equalKey)/不相等(xingdng)while(closedHead-next-style0 != 9)for(i = 0;i next-stylei != tempNode-stylei)equalKey = 1;break;elseequalKey = 0;if(!equalKey)/相等(xingdng)break;elseclosedHead = closedHead-next;closedHead = closed
29、-next;if(equalKey)/不相等open-next = tempNode;tempNode-next = openHead;tempNode-father = openHead-next;open = open-next;void print(struct node *temp) /輸出八數(shù)碼表for(j = 0;j stylej = 0)printf( t);elseprintf(%dt,temp-stylej);if(j + 1) % 3 = 0)printf(n);void write2txt()ofstream out(F:out_details.txt,ios:app);
30、if( out.fail() )cerr未找到文件(wnjin)endl;out 第+num步n;outnext-style0 != 9)for(i = 0;i 9;i +)outnext-styleit;if(i+1) % 3 = 0)outn;outnext;openHead = openHead-next;out*n;outnext-style0 != 9)for(i = 0;i 9;i +)outnext-styleit;if(i + 1) % 3 =0)outn;outnext;closedHead = closedHead-next;out-n;out.close();void m
31、ain()/updateData();/輸入八數(shù)碼(shm)數(shù)據(jù)for(i = 0;i style0 = 9;openHead-next = open;for(i = 0;i stylei = wholeStylei;open-next = openHead;open-father = openHead;closedHead = new node();closed = new node();closedHead-style0 = 9;closedHead-next = closedHead;closed = closedHead;while(open-style0 != 9)/當open表不為
32、空時一直(yzh)循環(huán)judge1(openHead-next);if(local % 3 0)/右移(yu y)equalKey = 1;tempNode = new node();for(i = 0;i stylei = openHead-next-stylei;tempSpace = tempNode-stylelocal - 1;tempNode-stylelocal - 1 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;if(local 2)/下移equalKey = 1;
33、tempNode = new node();for(i = 0;i stylei = openHead-next-stylei;tempSpace = tempNode-stylelocal - 3;tempNode-stylelocal - 3 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;if(local % 3 2)/左移equalKey = 1;tempNode = new node();for(i = 0;i stylei = openHead-next-stylei;te
34、mpSpace = tempNode-stylelocal + 1;tempNode-stylelocal + 1 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;if(local 6)/上移equalKey = 1;tempNode = new node();/tempNode = malloc(sizeof(struct node);for(i = 0;i stylei = openHead-next-stylei;tempSpace = tempNode-stylelocal +
35、 3;tempNode-stylelocal + 3 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;judge3();if(endKey)break;closed-next = openHead-next;/把open的標頭添加(tin ji)到closed表中openHead-next = openHead-next-next; closed = closed-next;closed-next = closedHead;write2txt();open-next = tempNode;/把找到的新節(jié)點(ji din)添加到open
36、表中tempNode-next = openHead;tempNode-father = openHead-next;open = open-next;closed-next = openHead-next;/把open的標頭添加(tin ji)到closed表中openHead-next = openHead-next-next; closed = closed-next;closed-next = closedHead;write2txt();answer = new node();tempNode = new node();tempNode = open;while(tempNode-s
37、tyle0 != 9)/將結果(ji gu)路徑存于answeranswer = tempNode;tempNode = tempNode-father;tempNode-next = answer;num = 0;while(answer-next-style0 != 9)/輸出(shch)answerprintf(*第%d步*n,num+);print(answer);answer = answer-next;printf(n);printf(*第%d步*n,num+);print(answer);if(answer-style3 != standard13)printf(n!輸入的八數(shù)碼
38、(shm)不合法,不能從初始狀態(tài)到最終狀態(tài)nnnn);return;A算法/*說明* * A算法實現(xiàn)八數(shù)碼問題 * */#include#include#includeusing namespace std;void print(struct node *temp);int wholeStyle9 = 2,8,3,1,6,4,7,0,5;int standard19 = 1,2,3,8,0,4,7,6,5;int local,i,j;int tempSpace;struct node *openHead,*open; /open表struct node *closedHead,*closed;
39、 /closed表struct node *tempNode; /臨時節(jié)點struct node *answer; /找到的路徑(ljng)int num = 0;bool endKey;struct nodeint depth;int judgement_based;int style9;struct node *next;struct node *father;void updateData() /更新(gngxn)要判斷數(shù)據(jù)int i;cout請輸入(shr)八數(shù)碼原始狀態(tài):endl;for(i = 0;i wholeStylei;cout請輸入八數(shù)碼最終狀態(tài):endl;for(i =
40、0;i standard1i;int judge1(struct node *head)/判斷空格位置for(i = 0;i stylei = 0)return i;int evaluation_function(struct node *head) /計算不在正確位置的點的個數(shù)int not_correct_position = 0;for(i = 0;i stylei != 0)&(head-stylei != standard1i)not_correct_position+;return not_correct_position;void print(struct node *temp)
41、 /輸出八數(shù)碼表for(j = 0;j stylej = 0)cout t;elsecoutstylejt;if(j + 1) % 3 = 0)coutendl;void write2txt() /將過程(guchng)記錄到文本文檔中ofstream out(F:out_details4.txt,ios:app);if( out.fail() )cerr未找到文件(wnjin)endl;out 第+num步n;outnext-style0 != 9)for(i = 0;i 9;i +)outnext-styleit;if(i+1) % 3 = 0)outn;out估值:;outnext-ju
42、dgement_basednext;openHead = openHead-next;out*n;outnext-style0 != 9)for(i = 0;i 9;i +)outnext-styleit;if(i + 1) % 3 =0)outn;out深度(shnd):next-depth 估值:next-judgement_basednext;closedHead = closedHead-next;outfather)/當新生成節(jié)點的空格位置與closed父親(f qn)節(jié)點的空格位置不相等tempNode-father = closed; /新生成節(jié)點(ji din)的指向它的父親節(jié)
43、點tempNode-depth = closed-depth + 1;/深度加1tempNode-judgement_based = evaluation_function(tempNode) + tempNode-depth;/計算估值while(openHead-next-style0 != 9)if(tempNode-judgement_based openHead-next-judgement_based)openHead = openHead-next;elsetempNode-next = openHead-next;openHead-next = tempNode;openHea
44、d = open-next;return;/插入的值比最后一個還大 進行下面的操作openHead = open-next;/先恢復表頭 否則Head指向為最后一個open-next = tempNode;tempNode-next = openHead;open = open-next;return;void main()/updateData();/輸入八數(shù)碼數(shù)據(jù)openHead = new node(); /初始化open表open = new node();openHead-style0 = 9;openHead-next = open;for(i = 0;i stylei = who
45、leStylei;open-next = openHead;open-father = openHead;open-depth = 0;open-judgement_based = evaluation_function(open) + open-depth;/這行可以(ky)不寫closedHead = new node(); /初始化closed表closed = new node();closedHead-style0 = 9;closedHead-next = closedHead;closed = closedHead;int min_judgement1 = open-judgem
46、ent_based;while(open-style0 != 9)/當open表不為空時一直(yzh)循環(huán)/updateData();/輸入八數(shù)碼(shm)數(shù)據(jù)write2txt();closed-next = openHead-next; /把open表中第一組八數(shù)碼移到closed表中openHead-next = openHead-next-next;closed = closed-next;closed-next = closedHead;if(openHead-next-style0 = 9)/如果是第一次 則open暫時指向openHeadopen = openHead;if(cl
47、osed-judgement_based = closed-depth)/判斷新移進closed表中的八數(shù)碼的f值是否等于它的層數(shù)coutsucceed!style0 != 9) /將結果存于answer表中answer = closed;closed = closed-father;closed-next = answer;num = 0;while(answer-style0 != 9) /控制臺顯示步驟cout*第num+步*n;print(answer);coutnext;return;else /如果closed表末的八數(shù)碼是最終(zu zhn)狀態(tài) 則拓展新的八數(shù)碼local =
48、judge1(closed);if(local % 3 0)/右移(yu y)tempNode = new node();for(i = 0;i stylei = closed-stylei;tempSpace = tempNode-stylelocal - 1;tempNode-stylelocal - 1 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;basic_exchange_oper();if(local 6)/上移tempNode = new node();for(i = 0;i stylei = closed-stylei;tempSpace = tempNode-stylelocal + 3;tempNode-stylelocal + 3 = tempNode-stylelocal;tempNode-stylelocal = tempSpace;basic_exchange_oper();if(local 2)/下移tempNode = new node();for(i = 0;i style
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