首页 > 代码库 > HDU1698 Just a Hook 【线段树】+【成段更新】+【lazy标记】
HDU1698 Just a Hook 【线段树】+【成段更新】+【lazy标记】
Just a Hook
Time Limit: 4000/2000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 15889 Accepted Submission(s): 7897
Problem Description
In the game of DotA, Pudge’s meat hook is actually the most horrible thing for most of the heroes. The hook is made up of several consecutive metallic sticks which are of the same length.
Now Pudge wants to do some operations on the hook.
Let us number the consecutive metallic sticks of the hook from 1 to N. For each operation, Pudge can change the consecutive metallic sticks, numbered from X to Y, into cupreous sticks, silver sticks or golden sticks.
The total value of the hook is calculated as the sum of values of N metallic sticks. More precisely, the value for each kind of stick is calculated as follows:
For each cupreous stick, the value is 1.
For each silver stick, the value is 2.
For each golden stick, the value is 3.
Pudge wants to know the total value of the hook after performing the operations.
You may consider the original hook is made up of cupreous sticks.
Now Pudge wants to do some operations on the hook.
Let us number the consecutive metallic sticks of the hook from 1 to N. For each operation, Pudge can change the consecutive metallic sticks, numbered from X to Y, into cupreous sticks, silver sticks or golden sticks.
The total value of the hook is calculated as the sum of values of N metallic sticks. More precisely, the value for each kind of stick is calculated as follows:
For each cupreous stick, the value is 1.
For each silver stick, the value is 2.
For each golden stick, the value is 3.
Pudge wants to know the total value of the hook after performing the operations.
You may consider the original hook is made up of cupreous sticks.
Input
The input consists of several test cases. The first line of the input is the number of the cases. There are no more than 10 cases.
For each case, the first line contains an integer N, 1<=N<=100,000, which is the number of the sticks of Pudge’s meat hook and the second line contains an integer Q, 0<=Q<=100,000, which is the number of the operations.
Next Q lines, each line contains three integers X, Y, 1<=X<=Y<=N, Z, 1<=Z<=3, which defines an operation: change the sticks numbered from X to Y into the metal kind Z, where Z=1 represents the cupreous kind, Z=2 represents the silver kind and Z=3 represents the golden kind.
For each case, the first line contains an integer N, 1<=N<=100,000, which is the number of the sticks of Pudge’s meat hook and the second line contains an integer Q, 0<=Q<=100,000, which is the number of the operations.
Next Q lines, each line contains three integers X, Y, 1<=X<=Y<=N, Z, 1<=Z<=3, which defines an operation: change the sticks numbered from X to Y into the metal kind Z, where Z=1 represents the cupreous kind, Z=2 represents the silver kind and Z=3 represents the golden kind.
Output
For each case, print a number in a line representing the total value of the hook after the operations. Use the format in the example.
Sample Input
1 10 2 1 5 2 5 9 3
Sample Output
Case 1: The total value of the hook is 24.
Source
2008 “Sunline Cup” National Invitational Contest
这题是线段树的成段更新,要用到lazy标记,也叫延迟标记,每次更新的时候不要更新到底,只是更新当前区段,然后标记下一层但不再更新,剩下的等下次查询时再更新。
//#define DEBUG #include <stdio.h> #define maxn 100002 #define lson l, mid, rt << 1 #define rson mid + 1, r, rt << 1 | 1 int tree[maxn << 2], lazy[maxn << 2]; void pushDown(int l, int r, int rt) { int mid = (l + r) >> 1; tree[rt << 1] = (mid - l + 1) * lazy[rt]; tree[rt << 1 | 1] = (r - mid) * lazy[rt]; lazy[rt << 1] = lazy[rt << 1 | 1] = lazy[rt]; lazy[rt] = 0; } void build(int l, int r, int rt) { lazy[rt] = 0; if(l == r){ tree[rt] = 1; return; } int mid = (l + r) >> 1; build(lson); build(rson); tree[rt] = tree[rt << 1] + tree[rt << 1 | 1]; } void update(int left, int right, int val, int l, int r, int rt) { if(left == l && right == r){ tree[rt] = val * (r - l + 1); lazy[rt] = val; return; } //include l == r if(lazy[rt]) pushDown(l, r, rt); int mid = (l + r) >> 1; if(right <= mid) update(left, right, val, lson); else if(left > mid) update(left, right, val, rson); else{ update(left, mid, val, lson); update(mid + 1, right, val, rson); } tree[rt] = tree[rt << 1] + tree[rt << 1 | 1]; } int main() { #ifdef DEBUG freopen("../stdin.txt", "r", stdin); freopen("../stdout.txt", "w", stdout); #endif int t, n, q, cas, a, b, c; scanf("%d", &t); for(cas = 1; cas <= t; ++cas){ scanf("%d%d", &n, &q); build(1, n, 1); while(q--){ scanf("%d%d%d", &a, &b, &c); update(a, b, c, 1, n, 1); } printf("Case %d: The total value of the hook is %d.\n", cas, tree[1]); } return 0; }
声明:以上内容来自用户投稿及互联网公开渠道收集整理发布,本网站不拥有所有权,未作人工编辑处理,也不承担相关法律责任,若内容有误或涉及侵权可进行投诉: 投诉/举报 工作人员会在5个工作日内联系你,一经查实,本站将立刻删除涉嫌侵权内容。