最长上升子序列 HDU 1025 Constructing Roads In JGShining's Kingdom

最长上升子序列o(nlongn)写法

dp[]=a[];
int len=;
for(int i=;i<=n;i++){
    if(a[i]>dp[len]) dp[++len]=a[i];
    else *lower_bound(dp+,dp++len,a[i])=a[i];
}

数组dp[len]描述的是长度为len时的结尾的最小元素。

怎么样才能不交叉呢？i和j相连，i1和j1想连，只有i<i1&&j<j1时才不会交叉，所以让第行单调递增，然后第而行求他的LIS

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=5E5+;
const int INF=1E9+;
struct stu{
    int a,b;
    bool friend operator <(const stu x,const stu y){
        return x.a<y.a;
    }
}arr[N];
int a[N],dp[N];
int main(){
    ios::sync_with_stdio();
    int n;
    int t=;
    while(cin>>n){
        for(int i=;i<=n;i++) cin>>arr[i].a>>arr[i].b;
        sort(arr+,arr++n);
        for(int i=;i<=n;i++){
            a[i]=arr[i].b;
        }
        dp[]=a[];
        int len=;
        for(int i=;i<=n;i++){
            if(a[i]>dp[len]) dp[++len]=a[i];
            else *lower_bound(dp+,dp++len,a[i])=a[i];
        }
        cout << "Case " << ++t << ":\n";
        cout << "My king, at most " << len << (len >  ? " roads" : " road") << " can be built.\n\n";
    }
    return ;
}

注：sb了。为什么要用struct呢？还得排序，，，直接a[x]=y就行.....