线段树 区间合并 F - Sequence operation
F - Sequence operation
- 题解:
这个题目不是一个特别难的题目,但是呢,写了好久,首先线段树难敲,其次就是bug难找,最后这个代码都被我改的乱七八糟的了,
这个有两个地方要注意一下,一个是取反的lazy标志,每次取反都是对1取异或,还有一个也是这个取反的lazy标志,
这个标志再第一种操作之后要进行消除。
- #include <cstdio>
- #include <cstdlib>
- #include <queue>
- #include <algorithm>
- #include <vector>
- #include <cstring>
- #include <string>
- #include <iostream>
- #include <stack>
- #define inf 0x3f3f3f3f
- using namespace std;
- const int maxn = 1e6 + ;
- struct node
- {
- int sum;
- int max_sub, max_zero;
- int l, r, len;
- int lazy1, lazy2;
- int max_prezero, max_lastzero;
- int max_preone, max_lastone;
- }tree[maxn * ];
- int a[maxn];
- void push_up(int id)
- {
- tree[id].sum = tree[id << ].sum + tree[id << | ].sum;
- tree[id].max_preone = tree[id << ].max_preone;
- if (tree[id].max_preone == tree[id << ].len) tree[id].max_preone += tree[id << | ].max_preone;
- tree[id].max_lastone = tree[id << | ].max_lastone;
- if (tree[id].max_lastone == tree[id << | ].len) tree[id].max_lastone += tree[id << ].max_lastone;
- tree[id].max_sub = max(tree[id << ].max_lastone + tree[id << | ].max_preone, max(tree[id << ].max_sub, tree[id << | ].max_sub));
- tree[id].max_prezero = tree[id << ].max_prezero;
- if (tree[id].max_prezero == tree[id << ].len) tree[id].max_prezero += tree[id << | ].max_prezero;
- tree[id].max_lastzero = tree[id << | ].max_lastzero;
- if (tree[id].max_lastzero == tree[id << | ].len) tree[id].max_lastzero += tree[id << ].max_lastzero;
- tree[id].max_zero = max(tree[id << ].max_lastzero + tree[id << | ].max_prezero, max(tree[id << ].max_zero, tree[id << | ].max_zero));
- return;
- }
- void chang1(int id, int val)
- {
- if (val)
- {
- tree[id].sum = tree[id].len;
- tree[id].max_preone = tree[id].max_lastone = tree[id].max_sub = tree[id].len;
- tree[id].max_zero = tree[id].max_prezero = tree[id].max_lastzero = ;
- }
- else
- {
- tree[id].sum = ;
- tree[id].max_preone = tree[id].max_lastone = tree[id].max_sub = ;
- tree[id].max_zero = tree[id].max_prezero = tree[id].max_lastzero = tree[id].len;
- }
- }
- void chang2(int id)
- {
- swap(tree[id].max_sub, tree[id].max_zero);
- swap(tree[id].max_prezero, tree[id].max_preone);
- swap(tree[id].max_lastone, tree[id].max_lastzero);
- tree[id].sum = tree[id].len - tree[id].sum;
- }
- void push_down(int id)
- {
- if (tree[id].lazy1)
- {
- chang1(id << , tree[id].lazy1 - );
- chang1(id << | , tree[id].lazy1 - );
- tree[id << ].lazy1 = tree[id << | ].lazy1 = tree[id].lazy1;
- tree[id << ].lazy2 =tree[id << | ].lazy2 = ;
- tree[id].lazy1 = ;
- }
- if (tree[id].lazy2)
- {
- chang2(id << );
- chang2(id << | );
- tree[id << ].lazy2 ^= ;
- tree[id << | ].lazy2 ^= ;
- tree[id].lazy2 = ;
- }
- }
- void build(int id, int l, int r)
- {
- tree[id].l = l;
- tree[id].r = r;
- tree[id].lazy1 = ;
- tree[id].lazy2 = ;
- tree[id].len = r - l + ;
- if (l == r)
- {
- if (a[l]) chang1(id, );
- else chang1(id, );
- return;
- }
- int mid = (l + r) >> ;
- build(id << , l, mid);
- build(id << | , mid + , r);
- push_up(id);
- }
- void update_change(int id, int l, int r, int z)
- {
- if (l <= tree[id].l&&r >= tree[id].r)
- {
- chang1(id, z);
- tree[id].lazy1 = z + ;
- tree[id].lazy2 = ;
- return;
- }
- push_down(id);
- int mid = (tree[id].l + tree[id].r) >> ;
- if (l <= mid) update_change(id << , l, r, z);
- if (r > mid) update_change(id << | , l, r, z);
- push_up(id);
- }
- void update_trans(int id, int l, int r)
- {
- if (l <= tree[id].l&&r >= tree[id].r)
- {
- tree[id].lazy2 ^= ;
- chang2(id);
- return;
- }
- push_down(id);
- int mid = (tree[id].l + tree[id].r) >> ;
- if (l <= mid) update_trans(id << , l, r);
- if (r > mid) update_trans(id << | , l, r);
- push_up(id);
- }
- int query_sum(int id, int l, int r)
- {
- if (l <= tree[id].l&&r >= tree[id].r)
- {
- return tree[id].sum;
- }
- push_down(id);
- int mid = (tree[id].l + tree[id].r) >> , ans = ;
- if (l <= mid) ans += query_sum(id << , l, r);
- if (r > mid) ans += query_sum(id << | , l, r);
- return ans;
- }
- int query(int id, int l, int r)
- {
- int ans = ;
- if (l <= tree[id].l&&r >= tree[id].r)
- {
- return tree[id].max_sub;
- }
- push_down(id);
- int mid = (tree[id].l + tree[id].r) >> ;
- if (l <= mid) ans = max(ans, query(id << , l, r));
- if (r > mid) ans = max(ans, query(id << | , l, r));
- ans = max(ans, min(mid - l + , tree[id << ].max_lastone) + min(r - mid, tree[id << | ].max_preone));
- return ans;
- }
- int main()
- {
- int t;
- cin >> t;
- while (t--)
- {
- int n, m;
- cin >> n >> m;
- for (int i = ; i <= n; i++) scanf("%d", &a[i]);
- build(, , n);
- while (m--)
- {
- int c, x, y;
- scanf("%d%d%d", &c, &x, &y);
- if (c == ) update_change(, x + , y + , );
- if (c == ) update_change(, x + , y + , );
- if (c == ) update_trans(, x + , y + );
- if (c == )
- {
- int ans = query_sum(, x + , y + );
- printf("%d\n", ans);
- }
- if (c == )
- {
- int ans = query(, x + , y + );
- printf("%d\n", ans);
- }
- }
- }
- return ;
- }
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