Coder
Time Limit: 10000ms
Memory Limit: 32768KB
This problem will be judged on HDU. Original ID: 428864-bit integer IO format: %I64d Java class name: Main
In mathematics and computer science, an algorithm describes a set of procedures or instructions that define a procedure. The term has become increasing popular since the advent of cheap and reliable computers. Many companies now employ a single coder to write an algorithm that will replace many other employees. An added benefit to the employer is that the coder will also become redundant once their work is done. 1
You are now the signle coder, and have been assigned a new task writing code, since your boss would like to replace many other employees (and you when you become redundant once your task is complete).
Your code should be able to complete a task to replace these employees who do nothing all day but eating: make the digest sum.
By saying “digest sum” we study some properties of data. For the sake of simplicity, our data is a set of integers. Your code should give response to following operations:
1. add x – add the element x to the set;
2. del x – remove the element x from the set;
3. sum – find the digest sum of the set. The digest sum should be understood by
where the set S is written as {a1, a2, ... , ak} satisfying a1 < a2 < a3 < ... < ak
Can you complete this task (and be then fired)?
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1 See http://uncyclopedia.wikia.com/wiki/Algorithm
You are now the signle coder, and have been assigned a new task writing code, since your boss would like to replace many other employees (and you when you become redundant once your task is complete).
Your code should be able to complete a task to replace these employees who do nothing all day but eating: make the digest sum.
By saying “digest sum” we study some properties of data. For the sake of simplicity, our data is a set of integers. Your code should give response to following operations:
1. add x – add the element x to the set;
2. del x – remove the element x from the set;
3. sum – find the digest sum of the set. The digest sum should be understood by
where the set S is written as {a1, a2, ... , ak} satisfying a1 < a2 < a3 < ... < ak
Can you complete this task (and be then fired)?
------------------------------------------------------------------------------
1 See http://uncyclopedia.wikia.com/wiki/Algorithm
Input
There’re several test cases.
In each test case, the first line contains one integer N ( 1 <= N <= 105 ), the number of operations to process.
Then following is n lines, each one containing one of three operations: “add x” or “del x” or “sum”.
You may assume that 1 <= x <= 109.
Please see the sample for detailed format.
For any “add x” it is guaranteed that x is not currently in the set just before this operation.
For any “del x” it is guaranteed that x must currently be in the set just before this operation.
Please process until EOF (End Of File).
In each test case, the first line contains one integer N ( 1 <= N <= 105 ), the number of operations to process.
Then following is n lines, each one containing one of three operations: “add x” or “del x” or “sum”.
You may assume that 1 <= x <= 109.
Please see the sample for detailed format.
For any “add x” it is guaranteed that x is not currently in the set just before this operation.
For any “del x” it is guaranteed that x must currently be in the set just before this operation.
Please process until EOF (End Of File).
Output
For each operation “sum” please print one line containing exactly one integer denoting the digest sum of the current set. Print 0 if the set is empty.
Sample Input
9 add 1 add 2 add 3 add 4 add 5 sum add 6 del 3 sum 6 add 1 add 3 add 5 add 7 add 9 sum
Sample Output
3 4 5
Hint
C++ maybe run faster than G++ in this problem.Source
解题：线段树，Orz
sum[i]可以算出来，(让左边的元素数量%5 + k%5)%5 = i 可以解出k
1 #include <bits/stdc++.h> 2 using namespace std; 3 typedef long long LL; 4 const int maxn = 100010; 5 struct node{ 6 int lt,rt,cnt; 7 LL sum[5]; 8 }tree[maxn<<2]; 9 void build(int lt,int rt,int v){ 10 tree[v].lt = lt; 11 tree[v].rt = rt; 12 tree[v].cnt = 0; 13 memset(tree[v].sum,0,sizeof tree[v].sum); 14 if(lt == rt) return; 15 int mid = (lt + rt)>>1; 16 build(lt,mid,v<<1); 17 build(mid+1,rt,v<<1|1); 18 } 19 void pushup(int v){ 20 for(int i = 0; i < 5; ++i){ 21 int tmp = ((i - tree[v<<1].cnt%5)%5 + 5)%5; 22 tree[v].sum[i] = tree[v<<1].sum[i] + tree[v<<1|1].sum[tmp]; 23 } 24 } 25 void update(int p,int val,int delta,int v){ 26 tree[v].cnt += delta; 27 if(tree[v].lt == tree[v].rt){ 28 tree[v].sum[0] += (LL)delta*val; 29 return; 30 } 31 int mid = (tree[v].lt + tree[v].rt)>>1; 32 if(p <= mid) update(p,val,delta,v<<1); 33 else update(p,val,delta,v<<1|1); 34 pushup(v); 35 } 36 int Li[maxn],q[maxn],tot,n; 37 char str[maxn][10]; 38 int main(){ 39 while(~scanf("%d",&n)){ 40 for(int i = tot = 0; i < n; ++i){ 41 scanf("%s",str[i]); 42 if(str[i][0] != 's'){ 43 scanf("%d",q+i); 44 Li[tot++] = q[i]; 45 } 46 } 47 sort(Li,Li+tot); 48 tot = unique(Li,Li+tot) - Li; 49 build(1,tot,1); 50 for(int i = 0; i < n; ++i){ 51 int p = lower_bound(Li,Li + tot,q[i]) - Li; 52 if(str[i][0] == 'a') update(p + 1,q[i],1,1); 53 else if(str[i][0] == 'd') update(p + 1,q[i],-1,1); 54 else printf("%I64d ",tree[1].sum[2]); 55 } 56 } 57 return 0; 58 }