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中缀表达式
一个晚上+初一走人家时YY
终于想出了自己的傻逼错误
思路如下:
1.中缀转表达式树
2.dfs求值
贴上丑陋不堪的代码
1 #include<iostream> 2 #include<cstring> 3 #include<cstdio> 4 #include<cstdlib> 5 6 7 using namespace std; 8 9 //************************************** 10 struct Node 11 { 12 int v; 13 char ch; 14 Node* lch; 15 Node* rch; 16 Node(){ 17 v = 0; 18 ch = 0; 19 lch = NULL; 20 rch = NULL; 21 } 22 }; 23 24 Node* newnode() 25 { 26 return new Node(); 27 } 28 29 void deletenode(Node* head) 30 { 31 if(head == NULL) return; 32 if(head->lch != NULL) deletenode(head->lch ); 33 if(head->rch != NULL) deletenode(head->rch ); 34 delete head; 35 } 36 //******************************************** 37 const int maxn = 200000; 38 char op[maxn]; 39 Node* root = newnode(); 40 41 bool Onlyint(int start,int end) 42 { 43 for(int i = start;i < end;i++) 44 { 45 if(!(op[i] >= ‘0‘&&op[i] <= ‘9‘)) return false; 46 } 47 return true; 48 } 49 50 void build_tree(int start,int end,Node* p) 51 { 52 int flag = 0,c1 = -1,c2 = -1; 53 int v=0; 54 if(Onlyint(start,end)) 55 { 56 sscanf(&op[start],"%d",&v); 57 p->v = v; 58 return ; 59 } 60 for(int i = start;i < end;i++) 61 { 62 switch(op[i]) 63 { 64 case ‘(‘:flag++;break; 65 case ‘)‘:flag--;break; 66 case ‘+‘:if(flag == 0) c1 = i;break; 67 case ‘-‘:if(flag == 0) c1 = i;break; 68 case ‘*‘:if(flag == 0) c2 = i;break; 69 case ‘/‘:if(flag == 0) c2 = i;break; 70 } 71 } 72 if(c1 < 0) c1 = c2; 73 if(c1 < 0){ 74 build_tree(start+1,end-1,p); 75 return ; 76 }else{ 77 p->ch = op[c1]; 78 Node* lch = newnode(); 79 Node* rch = newnode(); 80 p->lch = lch; 81 p->rch = rch; 82 build_tree(start,c1,lch); 83 build_tree(c1+1,end,rch); 84 } 85 } 86 87 int dfs(Node* p) 88 { 89 if(p->lch == NULL&&p->rch == NULL) return p->v; 90 int val = 0; 91 switch(p->ch) 92 { 93 case ‘+‘:val = dfs(p->lch) + dfs(p->rch);break; 94 case ‘-‘:val = dfs(p->lch) - dfs(p->rch);break; 95 case ‘*‘:val = dfs(p->lch) * dfs(p->rch);break; 96 case ‘/‘:val = dfs(p->lch) / dfs(p->rch);break; 97 } 98 return val; 99 } 100 101 int main() 102 { 103 scanf("%s",op); 104 Node* p =newnode(); 105 p = root; 106 build_tree(0,strlen(op),p); 107 cout<<dfs(p); 108 deletenode(p); 109 return 0; 110 }
就酱吧
中缀表达式
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