POJ-3468 A simple problem with Integers (线段树区间更新,区间查询)

题目链接

首先,感谢雨巨的线段树入门视频,可算让我整明白线段树的原理,还学到了一些编码的技巧。orz,再次感谢雨巨。

回到这道题目POJ—3468,就是裸的线段树,区间更新,区间查询。

代码:

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#include <stdio.h>

typedef long long ll;
struct SeTreeNode {
int left, right;
ll lazy;
ll len;
ll sum;
};
SeTreeNode tree[400000];
ll a[100010];
void build(int id, int l, int r);
void update(int id, int l, int r, ll val);
void PushDown(int id);

ll query(int id, int l, int r);
int main()
{
int T, n, a1, a2, q;
ll a3;
char s[12];

scanf("%d%d", &n, &q);
for (int i = 1; i <= n; i++) {
scanf("%lld", &a[i]);
}
build(1, 1, n);

while (q--) {
scanf(" %s", s);

scanf("%d%d", &a1, &a2);
if (s[0] == 'Q') {
ll ans = query(1, a1, a2);
printf("%lld\n", ans);
}
if (s[0] == 'C') {
scanf("%lld", &a3);
update(1, a1, a2, a3);
}
}

return 0;
}

void build(int id, int l, int r)
{
tree[id].left = l, tree[id].right = r;
tree[id].len = tree[id].right - tree[id].left + 1;
tree[id].lazy = 0;
if (tree[id].left == tree[id].right) {
tree[id].sum = a[l];
//tree[id].lazy=0;
//tree[id].len=tree[id].right-tree[id].left+1;
return;
}
int mid = (l + r) / 2;
build(id * 2, l, mid);
build(id * 2 + 1, mid + 1, r);
tree[id].sum = tree[id * 2].sum + tree[id * 2 + 1].sum;
}
ll query(int id, int l, int r)
{
if (tree[id].left >= l && tree[id].right <= r)
return tree[id].sum;

if (tree[id].left > r || tree[id].right < l)
return 0;

if (tree[id].lazy)
PushDown(id);

return query(id * 2, l, r) + query(id * 2 + 1, l, r);
}
void update(int id, int l, int r, ll val)
{
if (tree[id].left >= l && tree[id].right <= r) {
tree[id].sum += val * tree[id].len;
tree[id].lazy += val;
return;
}
if (tree[id].left > r || tree[id].right < l)
return;
if (tree[id].lazy)
PushDown(id);

update(id * 2 + 1, l, r, val);

update(id * 2, l, r, val);

tree[id].sum = tree[id * 2].sum + tree[id * 2 + 1].sum;
}
void PushDown(int id)
{
if (tree[id].lazy) {
tree[id * 2].lazy += tree[id].lazy;
tree[id * 2 + 1].lazy += tree[id].lazy;
tree[id * 2].sum += tree[id].lazy * tree[id * 2].len;
tree[id * 2 + 1].sum += tree[id].lazy * tree[id * 2 + 1].len;
tree[id].lazy = 0;
}
}

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