#include using namespace std; inline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;} template inline string toString(T x) {ostringstream sout;sout< VI; typedef vector VVI; typedef vector VL; typedef vector> VVL; typedef vector VS; typedef pair P; typedef tuple tpl; #define ALL(a) (a).begin(),(a).end() #define SORT(c) sort((c).begin(),(c).end()) #define REVERSE(c) reverse((c).begin(),(c).end()) #define LB(a,x) lower_bound((a).begin(), (a).end(), x) - (a).begin() #define UB(a,x) upper_bound((a).begin(), (a).end(), x) - (a).begin() #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define RFOR(i,a,b) for(int i=(a)-1;i>=(b);--i) #define RREP(i,n) RFOR(i,n,0) #define en "\n" constexpr double EPS = 1e-9; constexpr double PI = 3.1415926535897932; constexpr int INF = 2147483647; constexpr long long LINF = 1LL<<60; constexpr long long MOD = 1000000007; // 998244353; #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } void Main(){ int N,K; cin >> N >> K; int ans; if(N == 1){ ans = 1; } else if(N%2 == 0){ if(K%2 == 0) ans = min(N/2, K/2+1 + K/2); else ans = min(N/2, (K+1)/2 * 2); } else{ if(K%2 == 0) ans = min((N+1)/2, K/2+1) + min(N/2, K/2); else ans = min(N/2, (K+1)/2) + min((N+1)/2, K/2+1); } cout << ans << en; return; } int main(void){ cin.tie(0);ios_base::sync_with_stdio(0);cout<> t; REP(_,t){ Main(); } return 0; }