HDU 1051:Wooden Sticks
Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 11605 Accepted Submission(s): 4792
Problem Description
There is a pile of n wooden sticks. The length and weight of each stick are known in advance. The sticks are to be processed by a woodworking machine in one by one fashion. It needs some time, called setup time, for the machine to prepare processing a stick.
The setup times are associated with cleaning operations and changing tools and shapes in the machine. The setup times of the woodworking machine are given as follows:
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
Input
The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case consists of two lines: The first line has an integer n , 1<=n<=5000, that represents the number of wooden sticks in the test case,
and the second line contains n 2 positive integers l1, w1, l2, w2, ..., ln, wn, each of magnitude at most 10000 , where li and wi are the length and weight of the i th wooden stick, respectively. The 2n integers are delimited by one or more spaces.
Output
The output should contain the minimum setup time in minutes, one per line.
Sample Input
3 5 4 9 5 2 2 1 3 5 1 4 3 2 2 1 1 2 2 3 1 3 2 2 3 1
Sample Output
2 1 3
简单贪心。。
题意能够看做是:给定若干(1<= n <=5000)组二维坐标点,凡是满足 "x1<= x2 && y1<= y2"的话那么我们承认这两个坐标是属于同一个集合中。题目要我们求出这些坐标点最少能表示成几个集合。
#include<cstdio> #include<cstring> #include<iostream> #include<algorithm> #include<vector> #include<queue> using namespace std; const int maxn = 5000 + 50; int cas;//案例 int n;//木条数量 int vis[maxn];//标记数组 int ans_minute;//最短时间 struct point { int l;//长度 int w;//重量 }; point s[maxn]; bool cmp(point a, point b) { if( a.l==b.l )return a.w<b.w; else return a.l<b.l; } int main() { scanf("%d", &cas); while( cas-- ) { scanf("%d", &n); ans_minute = 0; memset(vis, 0, sizeof(vis)); for(int i=1; i<=n; i++)scanf("%d%d", &s[i].l, &s[i].w); sort(s+1, s+n+1, cmp); //for(int i=1; i<=n; i++)printf("%d__%d ", s[i].l, s[i].w); int judge = 1; for(int i=1; i<=n; i++) { if( vis[i] ) continue; ans_minute++; int temp = s[i].w; vis[i] = 1; for(int j=i+1; j<=n; j++) { if( temp<=s[j].w && !vis[j] ) { temp = s[j].w; judge++; vis[j] = 1; continue; } } if(judge>=n)break; } printf("%d\n", ans_minute); } }