Poj 3468 A Simple Problem with Integers (线段树 区间更新 区间求和)
来源:互联网 发布:联通 知乎 编辑:程序博客网 时间:2024/05/17 06:42
Description
You have N integers, A1, A2, ... ,AN. You need to deal with two kinds of operations. One type of operation is to add some given number to each number in a given interval. The other is to ask for the sum of numbers in a given interval.
Input
The first line contains two numbers N and Q. 1 ≤ N,Q ≤ 100000.
The second line contains N numbers, the initial values of A1,A2, ... ,AN. -1000000000 ≤ Ai ≤ 1000000000.
Each of the next Q lines represents an operation.
"C a b c" means adding c to each of Aa, Aa+1, ... , Ab. -10000 ≤ c ≤ 10000.
"Q a b" means querying the sum of Aa, Aa+1, ... ,Ab.
Output
You need to answer all Q commands in order. One answer in a line.
Sample Input
10 51 2 3 4 5 6 7 8 9 10Q 4 4Q 1 10Q 2 4C 3 6 3Q 2 4
Sample Output
455915
Hint
Source
线段树 区间更新
#include <cstdio>#include <algorithm>using namespace std;#define lson l , m , rt << 1#define rson m + 1 , r , rt << 1 | 1const int maxn = 111111;__int64 add[maxn<<2];__int64 sum[maxn<<2];void PushUp(__int64 rt) { sum[rt] = sum[rt<<1] + sum[rt<<1|1];}void PushDown(__int64 rt,__int64 m) { if (add[rt]) { add[rt<<1] += add[rt]; add[rt<<1|1] += add[rt]; sum[rt<<1] += add[rt] * (m - (m >> 1)); sum[rt<<1|1] += add[rt] * (m >> 1); add[rt] = 0; }}void build(__int64 l,__int64 r,__int64 rt) { add[rt] = 0; if (l == r) { scanf("%I64d",&sum[rt]); return ; } __int64 m = (l + r) >> 1; build(lson); build(rson); PushUp(rt);}void update(__int64 L,__int64 R,__int64 c,__int64 l,__int64 r,__int64 rt) { if (L <= l && r <= R) { add[rt] += c; sum[rt] += c * (r - l + 1); return ; } PushDown(rt , r - l + 1); __int64 m = (l + r) >> 1; if (L <= m) update(L , R , c , lson); if (m < R) update(L , R , c , rson); PushUp(rt);}__int64 query(__int64 L,__int64 R,__int64 l,__int64 r,__int64 rt) { if (L <= l && r <= R) { return sum[rt]; } PushDown(rt , r - l + 1); __int64 m = (l + r) >> 1; __int64 ret = 0; if (L <= m) ret += query(L , R , lson); if (m < R) ret += query(L , R , rson); return ret;}int main() { __int64 N , Q; scanf("%I64d%I64d",&N,&Q); build(1 , N , 1); while (Q --) { char op[2]; __int64 a , b , c; scanf("%s",op); if (op[0] == 'Q') { scanf("%I64d%I64d",&a,&b); printf("%I64d\n",query(a , b , 1 , N , 1)); } else { scanf("%I64d%I64d%I64d",&a,&b,&c); update(a , b , c , 1 , N , 1); } } return 0;}
- Poj 3468 A Simple Problem with Integers (线段树 区间更新 区间求和)
- poj 3468 A Simple Problem with Integers(线段树+区间更新+区间求和)
- 20140719 「线段树 - 区间更新,区间求和」 POJ 3468 A Simple Problem with Integers
- POJ 3468 A Simple Problem with Integers 数据结构+线段树+区间更新+区间求和
- POJ 3468 A Simple Problem with Integers(线段树区间更新+区间求和)
- POJ 3468 A Simple Problem with Integers(线段树区间更新+求和)
- poj 3468 A Simple Problem with Integers(线段树的区间更新与求和)
- POJ 3468-A Simple Problem with Integers(线段树:成段更新,区间求和)
- poj 3468 A Simple Problem with Integers(线段树区间更新求和)
- poj 3468 A Simple Problem with Integers(线段树,区间更新&求和)
- POJ 3468 A Simple Problem with Integers(线段树功能:区间加减区间求和)
- POJ 3468 A Simple Problem with Integers(线段树|区间加减&&区间求和)
- POJ-3468-A Simple Problem with Integers(线段树区间修改+区间求和)
- poj 3468 A Simple Problem with Integers(线段树区间修改+区间求和)
- poj 3468 A Simple Problem with Integers 线段树 区间更新求和
- POJ 3468 A Simple Problem with Integers (线段树,成段更新,区间求和)
- POJ 3468 A Simple Problem with Integers(段更新的区间求和&Lazy思想&线段树)
- POJ 题目3468 A Simple Problem with Integers(线段树成段更新,区间求和)
- apache,php,mysql,phpMyAdmin的配置.
- linux 禁止某个IP访问本机
- 基于tungsten API 同步mysql binlog出现EOF packet received的问题解决
- 什么时候该用NoSQL?
- JS函数定义方式的区别
- Poj 3468 A Simple Problem with Integers (线段树 区间更新 区间求和)
- 验证码的简单实现
- 第一章、mysql体系结构和存储引擎 [Mysql] (百度文库)
- JS函数的几种定义方式
- java环境变量配置
- NoSQL架构的几幅图
- CodeIgniter Unable to locate the model you have specified
- Qml的bug
- MyISAM InnoDB 发音(怎么读,读什么)