Taotao Picks Apples

st表+二分

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
const int maxn = 100100;
int n,m,t;
int a[maxn];
int st[maxn][20];
int lg[maxn];
int cnt[maxn];
int cnt2[maxn];
inline int getmax(int l,int r){
    if(l>r)return 0;
    if(r>n)return 2e9;
    int len=lg[r-l+1];
    return std::max(st[l][len],st[r-(1<<len)+1][len]);
}
int main(){
    std::ios::sync_with_stdio(false),std::cin.tie(0);
    std::cin >> t;
    lg[0]=-1;
    for(int i=1;i<maxn;++i)lg[i]=lg[i>>1]+1;
    while(t--){
        std::cin >> n >> m;
        memset(st,0,sizeof st);
        memset(cnt,0,sizeof cnt);
        memset(cnt2,0,sizeof cnt2);
        for(int i=1;i<=n;++i)std::cin >> a[i],st[i][0]=a[i];
        for(int i=1;i<20;++i)
            for(int j=1;j+(1<<i-1)<=n;++j)
                st[j][i]=std::max(st[j][i-1],st[j+(1<<i-1)][i-1]);
        cnt[1]=1;
        for(int i=2,now=a[1];i<=n;++i){
            cnt[i]=cnt[i-1];
            if(a[i] > now) ++cnt[i],now=a[i];
        }
        cnt2[n]=1;
        for(int i=n-1;i;--i){
            if(getmax(i+1,n) <= a[i]){
                cnt2[i]=1;
            }else{
                int l=i+1,r=n;
                while(l!=r){
                    int mid=l+r>>1;
                    if(getmax(i+1,mid) <= a[i])l=mid+1;
                    else r=mid;
                }
                cnt2[i]=cnt2[l]+1;
            }
        }
        for(int i=1,p,q;i<=m;++i){
            std::cin >> p >> q;
            if(getmax(1,p-1) >= q){
                int k = getmax(1,p-1);
                int l=p+1,r=n+1;
                while(l!=r){
                    int mid=l+r>>1;
                    if(getmax(p+1,mid) <= k)l=mid+1;
                    else r=mid;
                }
                std::cout << cnt[p-1]+cnt2[l] << '
';
            }else{
                if(getmax(p+1,n) <= q){
                    std::cout << cnt[p-1]+1 << '
';
                }else{
                    int l=p+1,r=n;
                    while(l!=r){
                        int mid=l+r>>1;
                        if(getmax(p+1,mid) <= q)l=mid+1;
                        else r=mid;
                    }
                    std::cout << cnt[p-1]+1+cnt2[l] << '
';
                }
            }
        }
    }
}
原文地址:https://www.cnblogs.com/skip1978/p/10332740.html