[ ST表 ] Codeforces875E Delivery Club
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二分答案,然后对每个点二分出以当前距离最远能到达的点,判一下前缀
#include<cstdio>#include<cstring>#include<iostream>#include<algorithm>using namespace std;inline char nc(){ static char buf[100000],*p1=buf,*p2=buf; return p1==p2&&(p2=(p1=buf)+fread(buf,1,100000,stdin),p1==p2)?EOF:*p1++;}inline void Read(int& x){ char c=nc(); for(;c<'0'||c>'9';c=nc()); for(x=0;c>='0'&&c<='9';x=(x<<3)+(x<<1)+c-48,c=nc());}#define N 100010#define M 20#define INF 1e9int i,j,k,n,m,p,a[N],l,r,Mid;int s1[N][M],t1[N][M],s2[N][M],t2[N][M],lg2[N];inline int Max(int x,int y){ int k=lg2[y-x+1]; return max(s1[x][k],t1[y][k]);}inline int Min(int x,int y){ int k=lg2[y-x+1]; return min(s2[x][k],t2[y][k]);}inline bool Check(int s){ int mx=0; for(int i=1;i<=n;i++){ int l=i,r=n; while(l<=r){ int Mid=l+r>>1; if(Max(i,Mid)<=a[i]+s&&Min(i,Mid)>=a[i]-s)l=Mid+1;else r=Mid-1; } if(i>2&&i>mx)return 0; mx=max(mx,r); } return 1;}int main(){ Read(n);n+=2; for(i=1;i<=n;i++)Read(a[i]),s1[i][0]=t1[i][0]=s2[i][0]=t2[i][0]=a[i]; for(i=2;i<=n;i++)lg2[i]=lg2[i>>1]+1; for(j=1;j<=lg2[n];j++) for(i=1;i<=n;i++){ if(i+(1<<j-1)<=n)s1[i][j]=max(s1[i+(1<<j-1)][j-1],s1[i][j-1]),s2[i][j]=min(s2[i+(1<<j-1)][j-1],s2[i][j-1]); if(i-(1<<j-1)>=0)t1[i][j]=max(t1[i-(1<<j-1)][j-1],t1[i][j-1]),t2[i][j]=min(t2[i-(1<<j-1)][j-1],t2[i][j-1]); } l=abs(a[1]-a[2]);r=INF; while(l<=r){ Mid=l+r>>1; if(Check(Mid))r=Mid-1;else l=Mid+1; } cout<<l<<endl; return 0;}
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