P1020 [NOIP1999 提高组] 导弹拦截

链接:https://www.luogu.com.cn/problem/P1020
这个题目一分为二:
首先就是LIS:改下,改成最长不升子序列,复杂度:nlogn;然后用vector的贪心,复杂度:n^2(这里似乎可以二分降到nlogn,不过反正过了OwO!)
被这个输入卡的好难受,建议用getline读取不确定的数
题目:

代码:

#include<iostream>
#include<vector>
#include<algorithm>
#include<math.h>
#include<sstream>
#include<string>
#include<string.h>
#include<iomanip>
#include<stdlib.h>
#include<map>
#include<queue>
#include<limits.h>
#include<climits>
#include<fstream>
#include<stack>
typedef unsigned long long ll;
using namespace std;

const int N = 1e5 + 5;
ll v[N];
ll jd[N];
int binarysearch(int l, int r, int val)
{
	int ll = l, rr = r, mid;
	while (ll < rr)
	{
		mid = ll + (rr - ll) / 2;
		if (val <= jd[mid])ll = mid + 1;
		else rr = mid;
	}
	return ll;
}
int toa(string s)//getline配套
{
	int ans = 0;
	for (int i = 0; i < s.length(); i++)ans = ans * 10 + s[i] - '0';
	return ans;
}
int main()
{
	string s;
	int n = 0;
	getline(cin, s);
	int lef = 0, righ = 1;
	while (righ < s.length())
	{
		while (righ < s.length() and s[righ] != ' ')righ++;
		v[++n] = toa(s.substr(lef, righ-lef));
		lef = righ + 1;
		righ = lef;
		
	}
	for (int i = 1; i <= n; i++)jd[i] = LLONG_MAX;
	jd[1] = v[1];
	ll ans = 1;
    //标准的LIS模板
	for (int i = 2; i <= n; i++)
	{
		if (v[i] <= jd[ans])
		{
			ans++; jd[ans] = v[i];
		}
		else jd[binarysearch(1, ans, v[i])] = v[i];
	}
	cout << ans << endl;
	vector<int>num2;
	num2.push_back(v[1]);
    //标准的贪心,求第二问
	for (int i = 2; i <= n; i++)
	{
		if (num2.back() < v[i])num2.push_back(v[i]);
		else
			for(int j=0;j<num2.size();j++)
				if (num2[j] >= v[i])
				{
					num2[j] = v[i];
					break;
				}
	}
	cout << num2.size();
	return 0;
}

更新:好像输入可以用while(cin>>x)?

posted on 2024-04-05 11:35  WHUStar  阅读(66)  评论(0编辑  收藏  举报