Codeforces Round #371 (Div. 2) C. Sonya and Queries

C. Sonya and Queries

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Today Sonya learned about long integers and invited all her friends to share the fun. Sonya has an initially empty multiset with integers. Friends give her t queries, each of one of the following type:

1.  +  a_i — add non-negative integer a_i to the multiset. Note, that she has a multiset, thus there may be many occurrences of the same integer.
2.  -  a_i — delete a single occurrence of non-negative integer a_i from the multiset. It's guaranteed, that there is at least one a_i in the multiset.
3. ? s — count the number of integers in the multiset (with repetitions) that match some pattern s consisting of 0 and 1. In the pattern, 0 stands for the even digits, while 1 stands for the odd. Integer x matches the pattern s, if the parity of the i-th from the right digit in decimal notation matches the i-th from the right digit of the pattern. If the pattern is shorter than this integer, it's supplemented with 0-s from the left. Similarly, if the integer is shorter than the pattern its decimal notation is supplemented with the 0-s from the left.

For example, if the pattern is s = 010, than integers 92, 2212, 50 and 414 match the pattern, while integers 3, 110, 25 and 1030 do not.

Input

The first line of the input contains an integer t (1 ≤ t ≤ 100 000) — the number of operation Sonya has to perform.

Next t lines provide the descriptions of the queries in order they appear in the input file. The i-th row starts with a character c_i — the type of the corresponding operation. If c_i is equal to '+' or '-' then it's followed by a space and an integer a_i (0 ≤ a_i < 10¹⁸) given without leading zeroes (unless it's 0). If c_i equals '?' then it's followed by a space and a sequence of zeroes and onse, giving the pattern of length no more than 18.

It's guaranteed that there will be at least one query of type '?'.

It's guaranteed that any time some integer is removed from the multiset, there will be at least one occurrence of this integer in it.

Output

For each query of the third type print the number of integers matching the given pattern. Each integer is counted as many times, as it appears in the multiset at this moment of time.

Examples

Input

12
+ 1
+ 241
? 1
+ 361
- 241
? 0101
+ 101
? 101
- 101
? 101
+ 4000
? 0

Output

2
1
2
1
1

Input

4
+ 200
+ 200
- 200
? 0

Output

1

Note

Consider the integers matching the patterns from the queries of the third type. Queries are numbered in the order they appear in the input.

1. 1 and 241.
2. 361.
3. 101 and 361.
4. 361.
5. 4000.    

   /*
   给你一个容器你可以向里添加元素，也可以删除里面已有的元素
   询问：输入一个二进制数1表示奇数0表示偶数，返回对应的数的个数，所有询问都是从右边开始，位数不够用0补充
   
   字典树，插入01数，删除的地方只需要将对应字段末尾减1就可以
   
   */
   #include <bits/stdc++.h>
   using namespace std;
   const int N = 5000000+10;
   struct Trie
   {
       int ch[N][3];
       int sz;
       int val[N];
       void Init()
       {
           sz=1;
           memset(ch,0,sizeof ch);
           memset(val,0,sizeof val);
       }
       /*
       0是偶数  1是奇数
       */
       void Insert(char *num,int op)//插异或
       {
           //cout<<"num="<<num<<endl;
           int u=0;
           for(int i=20;i>=strlen(num);i--)
           {
               if(ch[u][0]==0)///无该儿子
                   ch[u][0]=sz++;
               u=ch[u][0];
           }
           for(int i=0;i<strlen(num);i++)
           {
               int c=(num[i]-'0')%2;
               //cout<<"cur="<<cur<<" i="<<i<<" c="<<c<<endl;
               if(ch[u][c]==0)///无该儿子
                   ch[u][c]=sz++;
               u=ch[u][c];
           }
           val[u]+=op;//表示当前结点的单词数
       }
   
       int Find(char *num)
       {
           int u=0;
           int cur=0;
           for(int i=20;i>=strlen(num);i--)
           {
               if(ch[u][0]==0)///无该儿子
                   return 0;
               u=ch[u][0];
               cur+=val[u];
           }
           for(int i=0;i<strlen(num);i++)
           {
               int c=(num[i]-'0')%2;
               //cout<<"cur="<<cur<<" i="<<i<<" c="<<c<<endl;
               if(ch[u][c]==0)///无该儿子
                   return 0;
               u=ch[u][c];
               cur+=val[u];
           }
           return cur;
       }
   };
   Trie trie;
   int main()
   {
       //freopen("C:\\Users\\acer\\Desktop\\in.txt","r",stdin);
       trie.Init();
       int q;
       scanf("%d",&q);
       getchar();
       while(q--)
       {
           char s[2];
           char x[20];
           scanf("%s%s",s,x);
           //cout<<"x="<<x<<endl;
           if(s[0]=='+')
               trie.Insert(x,1);
           if(s[0]=='?')
               printf("%d\n",trie.Find(x));
           if(s[0]=='-')
               trie.Insert(x,-1);
       }
       return 0;
   }

   /*
   最后附上大神代码......大神的世界没有知识点只有乱搞
   */
   
   #include <bits/stdc++.h>
   using namespace std;
   int cnt[1<<18];
   int main()
   {
       int t;
       scanf("%d",&t);
       while(t--)
       {
           char ty[5],buf[25];
           scanf("%s%s",ty,buf);
           int tmp=0;
           for(int i=0;buf[i];i++)
               tmp=tmp*2+(buf[i]-'0')%2;
           if(*ty=='?')printf("%d\n",cnt[tmp]);
           else cnt[tmp]+=(*ty=='+' ? 1 : -1);
       }
       return 0;
   }