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<cstdio>
#include<cstring>
#include<cmath>
#include<cstdlib>
#include<ctime>
#include<algorithm>
#include<queue>
#include<vector>
#define ll long long
#define max(a,b) (a>b?a:b)
#define min(a,b) (a<b?a:b)
#define inf 0x3f3f3f3f
#define mod 1000000007
#define eps 1e-18
inline ll read()
{
    ll tmp=0; char c=getchar(),f=1;
    for(;c<'0'||'9'<c;c=getchar())if(c=='-')f=-1;
    for(;'0'<=c&&c<='9';c=getchar())tmp=(tmp<<3)+(tmp<<1)+c-'0';
    return tmp*f;
}
using namespace std;
void work()
{
	ll a=read(),b=read();
	ll ans=(ll)sqrt(a*b-1);
	if(ans*(ans+1)>=a*b)ans=ans*2-1;else ans*=2;
	if(a==b)printf("%lld\n",ans);else printf("%lld\n",ans-1);
}
int main()
{
	int t=read();
	while(t--)work();
	return 0;
}