G1. Ruler (easy version)
题意:形式为?1y,如果y<x,则相应y,如果y>=x,则相应y+1
分析:用二分搜索最终值,在二分里输入x
代码:
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
void sol(){
int l=2,r=1000;
while(l<r){
int mid=(l+r)/2;
cout<<"? 1 "<<mid<<endl;
int x;cin>>x;
if(x==mid)l=mid+1;
else r=mid;
}
cout<<"! "<<l<<endl;
}
int main(){
int t;cin>>t;
while(t--)sol();
return 0;
}
G2. Ruler (hard version)
题意:形式为?a b,如果a<b<x,则相应a×b,如果a<x<=b,则相应a×(b+1),如果x<=a<b,则响应(a+1)(b+1)
分析:用三分搜索每次的a和b,在三分里输入x
代码:
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
void sol(){
int l=1,r=999;
while(l<r-2){
int a=(2*l+r)/3;
int b=(2*r+l)/3;
cout<<"? "<<a<<" "<<b<<endl;
int x;cin>>x;
if(x==(a+1)*(b+1))r=a;
else if(x==a*b)l=b;
else{
l=a;r=b;
}
}
if(r-l==2){
cout<<"? 1 "<<l+1<<endl;
int x;cin>>x;
if(x==l+1)l+=1;
else r=l+1;
}
cout<<"! "<<r<<endl;
}
int main(){
int t;cin>>t;
while(t--)sol();
return 0;
}