POJ 3468 A Simple Problem with Integers(线段树,区间更新,区间求和)-白红宇

POJ 3468 A Simple Problem with Integers(线段树,区间更新,区间求和)

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发布时间：2019-06-24

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A Simple Problem with Integers

Time Limit: 5000MS		Memory Limit: 131072K
Total Submissions: 67511		Accepted: 20818
Case Time Limit: 2000MS

Description

You have N integers, A₁, A₂, ... , A_N. 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, ... , A_N. -1000000000 ≤ A_i ≤ 1000000000.

Each of the next Q lines represents an operation.

"C a b c" means adding c to each of A_a, A_a₊₁, ... , A_b. -10000 ≤ c ≤ 10000.

"Q a b" means querying the sum of A_a, A_a₊₁, ... , A_b.

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

Hint

The sums may exceed the range of 32-bit integers.

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                  using namespace std;#define root 1,n,1#define lson l,mid,rt<<1#define rson mid+1,r,rt<<1|1#define lr rt<<1#define rr rt<<1|1typedef long long LL;const int oo = 1e9+7;const double PI = acos(-1.0);const double eps = 1e-6 ;const int N = 100010;const int mod = 2333333;int n , m ;LL sum[N<<2] , lazy[N<<2] , e[N] , tot ;void Up( int rt ) { sum[rt] = sum[lr] + sum[rr];}void Down( int l , int r , int rt ) { if( lazy[rt] != 0 ) { int mid = (l+r)>>1; sum[lr] += lazy[rt]*(mid-l+1) , sum[rr] += lazy[rt]*(r-mid); lazy[lr] += lazy[rt] , lazy[rr] += lazy[rt]; lazy[rt] = 0 ; }}void build( int l , int r , int rt ){ lazy[rt] = 0 ; if( l == r ) { sum[rt] = e[tot++]; return ; } int mid = (l+r)>>1; build(lson),build(rson); Up(rt);}void update( int l , int r , int rt , int L , int R , LL val ) { if( L == l && r == R ) { sum[rt] += val*(r-l+1) ; lazy[rt] += val; return ; } Down( l , r , rt ); int mid = (l+r)>>1; if( R <= mid ) update(lson,L,R,val); else if( L > mid ) update(rson,L,R,val); else update(lson,L,mid,val) , update(rson,mid+1,R,val); Up(rt);}LL query( int l , int r , int rt , int L , int R ) { if( L == l && r == R ) { return sum[rt]; } Down(l,r,rt); int mid = (l+r)>>1; if( R <= mid ) return query(lson,L,R); else if( L > mid ) return query(rson,L,R); else return query(lson,L,mid) + query(rson,mid+1,R);}int main(){ #ifdef LOCAL freopen("in.txt","r",stdin);// freopen("out.txt","w",stdout); #endif // LOCAL char s[10]; int x , y ; LL c ; while( ~scanf("%d%d",&n,&m ) ) { tot = 0 ; for( int i = 0 ; i < n ; ++i ) { scanf("%I64d",&e[i]); } build(root); while(m--) { scanf("%s",s); if( s[0] == 'Q' ) { scanf("%d%d",&x,&y); printf("%I64d\n",query(root,x,y)); } else { scanf("%d%d%I64d",&x,&y,&c); update(root,x,y,c); } } }}