poj 3258 River Hopscotch (二分搜索---最大化最小值)
题:http://poj.org/problem?id=3258
思路:函数 can(int x)判断 当前的距离x能不能得到。用贪心的策略来选取N-M个点来看是否满足。
注意边界条件和边界数据:
#include<iostream>#include<cstdio>#include<algorithm>#include<cstring>using namespace std;const int MAXN=50005;int L,N,M,d[MAXN];bool can(int mid){int num=N-M;int last=0;for(int i=0;i<num;i++){int cur=last+1;while(cur<=N && d[cur]-d[last]<mid){cur++;}if(cur>N) return 0;last=cur;}return 1;}int main(){while(cin>>L>>N>>M){if(N+M==0){cout<<L<<endl;continue;}d[0]=0;for(int i=1;i<=N;i++)scanf("%d",&d[i]);d[N+1]=L;if(N==M){cout<<L<<endl;continue;}sort(d+1,d+1+N);int lhs=0,rhs=L;while(rhs-lhs>1){int mid=(lhs+rhs)>>1;if(can(mid)) lhs=mid;else rhs=mid;}cout<<lhs<<endl;}return 0;}