hdoj1025 Constructing Roads In JGShining's Kingdom(DP+二分法)
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第一次提交超时了。
借鉴了一下别人的代码,发现dp的思路都错了。。。
而且还得用到二分法来减小时间复杂度。
dp+二分法。好题呀。
#include<iostream>using namespace std;int p[500005],dp[500005]; int search(int num,int low,int high){ int mid; while (low <= high) { mid = (low + high) / 2; if (num >= dp[mid]) low = mid + 1; else high = mid - 1; } return low;}int main(){int len,pos,k=1;int n,i,a,b,max;while(cin>>n){max=0;len=1;memset(p,0,n+5);memset(dp,0,n+5);for( i=1;i<=n;i++){cin>>a>>b;p[a]=b;}dp[1]=p[1];for(i=2;i<=n;i++){if(p[i]>dp[len]){dp[++len]=p[i];}else{pos=search(p[i],1,len);dp[pos]=p[i];}}if(len==1)cout<<"Case "<<k<<":"<<endl<<"My king, at most 1 road can be built."<<endl;else cout<<"Case "<<k<<":"<<endl<<"My king, at most "<<len<<" road can be built."<<endl;k++;}return 0;}
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