Problem:
Score : 700 points

Problem Statement

10^{10^{10}} participants, including Takahashi, competed in two programming contests.
In each contest, all participants had distinct ranks from first through 10^{10^{10}}-th.

The score of a participant is the product of his/her ranks in the two contests.

Process the following Q queries:

In the i-th query, you are given two positive integers A_i and B_i. Assuming that Takahashi was ranked A_i-th in the first contest and B_i-th in the second contest, find the maximum possible number of participants whose scores are smaller than Takahashi's.

Constraints

1 \leq Q \leq 100

1\leq A_i,B_i\leq 10^9(1\leq i\leq Q)

All values in input are integers.

Input

Input is given from Standard Input in the following format:

Q
A_1 B_1
:
A_Q B_Q

Output

For each query, print the maximum possible number of participants whose scores are smaller than Takahashi's.

Sample Input 1

8
1 4
10 5
3 3
4 11
8 9
22 40
8 36
314159265 358979323

Sample Output 1

1
12
4
11
14
57
31
671644785

Let us denote a participant who was ranked x-th in the first contest and y-th in the second contest as (x,y).

In the first query, (2,1) is a possible candidate of a participant whose score is smaller than Takahashi's. There are never two or more participants whose scores are smaller than Takahashi's, so we should print 1.

Solution in C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define REP(i,n) for(int i=0;i<n;i++)
#define REPP(i,n) for(int i=1;i<=n;i++)
const double PI = acos(-1);
const double EPS = 1e-15;
long long INF=(long long)1E17;
#define i_7 (long long)(1E9+7)
long mod(long a){
    long long c=a%i_7;
    if(c>=0)return c;
    return c+i_7;
}
using namespace std;
bool prime(int n){
  if(n==1){
    return false;
  }else if(n==2){
    return true;
  }else{
    for(int i=2;i<=sqrt(n);i++){
      if(n%i==0){
        return false;
      }
    }
    return true;
  }
}

long long gcd(long long a, long long b){
  if(a<b){
    swap(a,b);
  }
  if(a%b==0){
    return b;
  }else{
    return gcd(b,a%b);
  }
}
 
long long lcm(long long x, long long y){
  return (x/gcd(x,y))*y;
}
 
class UnionFind {
    public:
    //各頂点の親の番号を格納する。その頂点自身が親だった場合は-(その集合のサイズ)を入れる。
    vector<int> Parent;
    
    //クラスを作るときは、Parentの値を全て-1にする。
    //以下のようにすると全てバラバラの頂点として解釈できる。
    UnionFind(int N) {
        Parent = vector<int>(N, -1);
    }
    
    //Aがどのグループに属しているか調べる
    int root(int A) {
        if (Parent[A] < 0) return A;
        return Parent[A] = root(Parent[A]);
    }
    
    //自分のいるグループの頂点数を調べる
    int size(int A) {
        return -Parent[root(A)];//先祖をrootで取っておきたい。
    }
    
    //AとBをくっ付ける
    bool connect(int A, int B) {
        //AとBを直接つなぐのではなく、root(A)にroot(B)をくっつける
        A = root(A);
        B = root(B);
        if (A == B) {
            //すでにくっついてるからくっ付けない
            return false;
        }
        
        //大きい方(A)に小さいほう(B)をくっ付けたい
        //大小が逆だったらAとBをひっくり返す。
        if (size(A) < size(B)) swap(A, B);
        
        //Aのサイズを更新する
        Parent[A] += Parent[B];
        //Bの親をAに変更する
        Parent[B] = A;
        
        return true;
    }
};

int main(){
  int q;
  cin>>q;
  long long a,b;
  long long temp;
  REP(i,q){
    cin>>a>>b;
    if(a==1&&b==1){
      cout<<0<<endl;
    }else if(a==1||b==1){
      for(int i=0;i*i<=max(a,b);i++){
        temp=i;
      }
      if(temp*temp==max(a,b)){
        temp--;
      }
      cout<<2*(temp-1)<<endl;
    }else if(a==b){
      cout<<2*(a-1)<<endl;
    }else{
      cout<<max(a,b)-1<<endl;
    }
  }
  return 0;
}