11572 - Unique Snowflakes(贪心,两指针滑动保存子段最大长度)
Emily the entrepreneur has a cool business idea: packaging and selling snowflakes. She has devised a machine that captures snowflakes as they fall, and serializes them into a stream of snowflakes that flow, one by one, into a package. Once the package is full, it is closed and shipped to be sold. The marketing motto for the company is “bags of uniqueness.” To live up to the motto, every snowflake in a package must be different from the others. Unfortunately, this is easier said than done, because in reality, many of the snowflakes flowing through the machine are identical. Emily would like to know the size of the largest possible package of unique snowflakes that can be created. The machine can start filling the package at any time, but once it starts, all snowflakes flowing from the machine must go into the package until the package is completed and sealed. The package can be completed and sealed before all of the snowflakes have flowed out of the machine.
Input
The first line of input contains one integer specifying the number of test cases to follow. Each test case begins with a line containing an integer n, the number of snowflakes processed by the machine. The following n lines each contain an integer (in the range 0 to 109, inclusive) uniquely identifying a snowflake. Two snowflakes are identified by the same integer if and only if they are identical. The input will contain no more than one million total snowflakes.
Output
For each test case output a line containing single integer, the maximum number of unique snowflakes that can be in a package.
Sample Input
1 5 1 2 3 2 1
Sample Output
3
分析:
从一个有n个数的序列中,找到一个最大的子段(连续的),使得这个最大子段中没有重复元素,输出最大子段的长度。
注意:序列是不连续的,子段必须是连续的
做法:
对于该类段查找问题可以采用经典的滑动窗口方法,即维护一个窗口,窗口的左右边界用两个变量L,R代表,先增加R直到出现重复数字,再增加L,再增加R,直到R达到n
贴张图形象得一批~
set好用!
code:
#include<stdio.h> #include <iostream> #include <math.h> #include <queue> #include<set> using namespace std; #define max_v 1000005 int a[max_v]; int main() { set<int> s; int t,n; cin>>t; while(t--) { cin>>n; for(int i=0;i<n;i++) cin>>a[i]; s.clear(); int left=0,right=0,ans=0; while(right<n) { while(right<n&&!s.count(a[right])) { s.insert(a[right++]); } ans=max(ans,right-left); s.erase(a[left++]); } cout<<ans<<endl; } return 0; }