LightOJ 1164 - Horrible Queries（线段树啊 功能：区间增减和区间求和）

题目链接：http://lightoj.com/volume_showproblem.php?problem=1164

World is getting more evil and it's getting tougher to get into the Evil League of Evil. Since the legendary Bad Horse has retired, now you have to correctly answer the evil questions of Dr. Horrible, who has a PhD in horribleness (but not in Computer Science). You are given an array of n elements,which are initially all 0. After that you will be given q commands. They are -

1.      0 x y v - you have to add v to all numbers in the range of x to y (inclusive), where x and y are two indexes of the array.

2.      1 x y - output a line containing a single integer which is the sum of all the array elements between x and y (inclusive).

The array is indexed from 0 to n - 1.

Input

Input starts with an integer T (≤ 5), denoting the number of test cases.

Each case contains two integers n (1 ≤ n ≤ 10⁵) and q (1 ≤ q ≤ 50000). Each of the next q lines contains a task in one of the following form:

0 x y v (0 ≤ x ≤ y < n, 1 ≤ v ≤ 1000)

1 x y (0 ≤ x ≤ y < n)

Output

For each case, print the case number first. Then for each query '1 x y', print the sum of all the array elements between x and y.

Sample Input

Output for Sample Input

2

10 5

0 0 9 10

1 1 6

0 3 7 2

0 4 5 1

1 5 5

20 3

0 10 12 1

1 11 12

1 19 19

Case 1:

60

13

Case 2:

2

0

代码如下：

#include <cstdio>#include <algorithm>using namespace std;#define lson l , mid , rt << 1#define rson mid + 1 , r , rt << 1 | 1#define LL __int64const LL maxn = 111111;LL add[maxn<<2];LL sum[maxn<<2];//求和void PushUp(LL rt){    sum[rt] = sum[rt<<1] + sum[rt<<1|1];}void PushDown(LL rt,LL len){    if (add[rt])    {        add[rt<<1] += add[rt];        add[rt<<1|1] += add[rt];        sum[rt<<1] += add[rt] * (len - (len >> 1));        sum[rt<<1|1] += add[rt] * (len >> 1);//更新右儿子的和        add[rt] = 0;    }}void build(LL l,LL r,LL rt){    add[rt] = 0;//初始化为所有结点未被标记    if (l == r)    {        //scanf("%lld",&sum[rt]);        sum[rt] = 0;        return ;    }    LL mid = (l + r) >> 1;    build(lson);    build(rson);    PushUp(rt);}void update(LL L,LL R,LL c,LL l,LL r,LL rt){    if (L <= l && r <= R)    {        add[rt] += c;        sum[rt] += (LL)c * (r - l + 1);//更新代表某个区间的节点和，该节点不一定是叶子节点        return ;    }    PushDown(rt , r - l + 1);    LL mid = (l + r) >> 1;    if (L <= mid)        update(L , R , c , lson);//更新左儿子    if (mid < R)        update(L , R , c , rson);//更新右儿子    PushUp(rt);}LL query(LL L,LL R,LL l,LL r,LL rt){    if (L <= l && r <= R)    {        return sum[rt];    }    PushDown(rt , r - l + 1);    LL mid = (l + r) >> 1;    LL ret = 0;    if (L <= mid)        ret += query(L , R , lson);    if (mid < R)        ret += query(L , R , rson);    return ret;}int main(){    LL N , Q;    LL t;    LL cas = 0;    scanf("%lld",&t);    while(t--)    {        scanf("%lld%lld",&N,&Q);//N为节点数        build(1 , N , 1); //建树        printf("Case %d:\n",++cas);        while (Q--)//Q为询问次数        {            //char op[2];            LL op;            LL a , b , c;            scanf("%lld",&op);            if(op == 1)            {                scanf("%lld%lld",&a,&b);                printf("%lld\n",query(a+1 , b+1 , 1 , N , 1));            }            else if(op == 0)            {                scanf("%lld%lld%lld",&a,&b,&c);//c为区间a到b增加的值                update(a+1 , b+1 , c , 1 , N , 1);            }        }    }    return 0;}/*210 50 0 9 101 0 60 3 7 20 4 5 11 5 520 30 10 12 11 11 121 19 19*/