import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int root(int[] uf, int u) { return (uf[u] < 0) ? u : (uf[u] = uf.root(uf[u])); } bool connect(int[] uf, int u, int v) { u = uf.root(u); v = uf.root(v); if (u == v) return false; if (uf[u] > uf[v]) swap(u, v); uf[u] += uf[v]; uf[v] = u; return true; } long brute(int N, long M) { alias Edge = Tuple!(long, "c", int, "u", int, "v"); Edge[] es; foreach (u; 0 .. N) foreach (v; u + 1 .. N) { es ~= Edge(((u + 1) + (v + 1)) % M, u, v); } es.sort; auto uf = new int[N]; uf[] = -1; long ans; foreach (e; es) { if (uf.connect(e.u, e.v)) { ans += e.c; } } return ans; } long solve(long N, long M) { chmin(N, M); long ans; if ((N - 1) + N < M) { // (1, 2), ..., (1, N) ans += ((1 + 2) + (1 + N)) * (N - 1) / 2; } else { // (1, 2), ..., (1, M-r) // (M-r, r), ..., (floor((M-1)/2), ceil((M+1)/2)) const r = min(N, M - 1); ans += ((1 + 2) + (1 + (M - r))) * (M - r - 1) / 2; ans += ((M - 1) / 2) - (M - r); if (M % 2 == 0) { ans += 1; } if (M <= N) { ans += 1; } } return ans; } void main() { debug {{ enum lim = 10; foreach (m; 1 .. lim + 1) foreach (n; 1 .. lim + 1) { const brt = brute(n, m); const slv = solve(n, m); assert(brt == slv, format("%s %s: %s %s", n, m, brt, slv)); } }} try { for (; ; ) { const numCases = readInt; foreach (caseId; 0 .. numCases) { const N = readLong; const M = readLong; const ans = solve(N, M); writeln(ans); } } } catch (EOFException e) { } }