POJ 3468 A Simple Problem with Integers (线段树区间更新模板)
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POJ 3468
老是忘。。
#include <iostream>#include <cstdio>#include <queue>#include <cstring>using namespace std;typedef long long ll;struct node {int l, r, m;ll val, mark;//注意此处标记和值都要定义为long long };const int MAXN = 100100;node T[MAXN * 4 + 10];ll a[MAXN];void build(int root, int begin, int end) {T[root].mark = 0;T[root].l = begin;T[root].r = end;T[root].m = (begin + end) >> 1;if(begin == end) {T[root].val = a[begin];}else {build(root << 1, begin, T[root].m);build(root << 1 | 1, T[root].m + 1, end);T[root].val = T[root << 1].val + T[root << 1 | 1].val;}}ll query(int root, int l, int r) {if(T[root].l == l && T[root].r == r) {return T[root].val + T[root].mark * (r - l + 1);}else {if(T[root].mark != 0) {T[root << 1].mark += T[root].mark;T[root << 1 | 1].mark += T[root].mark;T[root].val += T[root].mark * (T[root].r - T[root].l + 1);T[root].mark = 0;}if(r <= T[root].m) return query(root << 1, l, r);else if(l > T[root].m) return query(root << 1 | 1, l, r);else return query(root << 1, l, T[root].m) + query(root << 1 | 1, T[root].m + 1, r);}}void updata(int root, int l, int r, int add) {if(T[root].l == l && T[root].r == r) {T[root].mark += add;}else {T[root].val += add * (r - l + 1);if(r <= T[root].m) updata(root << 1, l, r, add);else if(l > T[root].m) updata(root << 1 | 1, l, r, add);else {updata(root << 1, l, T[root].m, add);updata(root << 1 | 1, T[root].m + 1, r, add);}}}int main() {int n, q;while(~scanf("%d %d", &n, &q)) {int i;for(i = 1; i <= n; i++) {scanf("%I64d", a + i);}getchar();build(1, 1, n);char ch;int l, r, add;for(i = 0; i < q; i++) {scanf("%c %d %d", &ch, &l, &r);getchar();if(ch == 'Q') {printf("%I64d\n", query(1, l, r));}if(ch == 'C') {scanf("%d", &add);getchar();updata(1, l, r, add);}}}return 0;}
另附一个线段树模板:
#include<stdio.h>#include<algorithm>#include<string.h>#define ll __int64#define M 100007using namespace std;struct node{ ll l,r,mid,val,mark;}tree[M<<2];ll s[M];void build(ll left,ll right,ll i)//建树{ tree[i].l=left;tree[i].r=right; tree[i].mid=(left+right)>>1;tree[i].mark=0; if(left==right){tree[i].val=s[left]; return;} build(left,tree[i].mid,i*2); build(tree[i].mid+1,right,i*2+1); tree[i].val=tree[i*2].val+tree[i*2+1].val;}void update(int pos,ll val,int i)//点更新{ tree[i].val+=val; if(tree[i].l==tree[i].r)return; if(pos<=tree[i].mid)update(pos,val,i*2); else update(pos,val,i*2+1);}//ll query(int left,int right,int i)//点查询//{// if(tree[i].l==left&&tree[i].r==right)return tree[i].val;// if(right<=tree[i].mid)query(left,right,i*2);// else if(left>tree[i].mid)query(left,right,i*2+1);// else return query(left,tree[i].mid,i*2)+query(tree[i].mid+1,right,i*2+1);//}void update(int left,int right,ll val,int i)//区间更新{ if(tree[i].l==left&&tree[i].r==right){tree[i].mark+=val;return;} tree[i].val+=val*(right-left+1); if(tree[i].mid<left)update(left,right,val,2*i+1); else if(tree[i].mid>=right)update(left,right,val,2*i); else { update(left,tree[i].mid,val,2*i); update(tree[i].mid+1,right,val,2*i+1); }}ll query(int left,int right,int i)//区间查询{ if(tree[i].l==left&&tree[i].r==right) return tree[i].val+tree[i].mark*(right-left+1); if(tree[i].mark!=0) { tree[i*2].mark+=tree[i].mark;tree[i*2+1].mark+=tree[i].mark; tree[i].val+=(tree[i].r-tree[i].l+1)*tree[i].mark;tree[i].mark=0; } if(tree[i].mid>=right){return query(left,right,i*2);} else if(tree[i].mid<left){return query(left,right,i*2+1);} else{return query(left,tree[i].mid,i*2)+query(tree[i].mid+1,right,i*2+1);}}int main(){ ll n,m,i,j,k; ll l,f,num; char str[5]; while(scanf("%I64d%I64d",&n,&m)!=EOF) { for(int i=1;i<=n;i++) scanf("%I64d",&s[i]); build(0,n,1); for(i=0;i<m;i++) { // printf("i=%I64d",i); scanf("%s",&str); if(str[0]=='Q') { scanf("%I64d%I64d",&l,&f); printf("%I64d\n",query(l,f,1)); } if(str[0]=='C') { scanf("%I64d%I64d%I64d",&l,&f,&num); update(l,f,num,1); } } } return 0;}
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