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)); } enum MO = 998244353; long solve(const(long) N, const(long) X) { long ans; if (X & 1) { ans = (N + 1) / 2; } else { const q = (N + 1) / (X + 3); const r = (N + 1) % (X + 3); ans += q * (X / 2 + 1); if (r < X) { ans += (r + 1) / 2; } else { ans += X / 2; if (X + 1 < r) { ans += 1; } } ans = N + 1 - ans; } return ans; } void main() { debug {{ int calc(int n, int x) { if (x & 1) return n & 1; const r = n % (x + 3); if (r < x) return (r & 1); if (r == x + 1) return 0; return 1; } enum lim = 100; foreach (x; 1 .. lim) { auto dp = new bool[][][](lim, 2, 2); foreach (n; 0 .. lim) { foreach (s; 0 .. 2) foreach (t; 0 .. 2) { if (n >= 1) { if (!dp[n - 1][t][0]) dp[n][s][t] = true; } if (n >= x && !s) { if (!dp[n - x][t][1]) dp[n][s][t] = true; } } } foreach (n; 0 .. lim) { write(dp[n][0][0] ? '#' : '.'); } writeln; foreach (n; 0 .. lim) { const res = calc(n, x); if (~res) { assert(dp[n][0][0] == cast(bool)(res), format("%s %s: %s %s", n, x, dp[n][0][0], res)); } // assert(~res); } } }} debug {{ enum lim = 20; foreach (x; 1 .. lim) if (!(x & 1)) { write(x, ":"); foreach (n; 0 .. lim) { write(" ", solve(n, x)); } writeln; } }} try { for (; ; ) { const numCases = readInt; foreach (caseId; 0 .. numCases) { const N = readLong; const X = readLong; const ans = solve(N, X); writeln(ans % MO); } } } catch (EOFException e) { } }