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java.io.*;\nimport java.util.*;\nimport java.util.function.IntUnaryOperator;\nimport java.util.function.LongUnaryOperator;\nimport java.util.stream.Collectors;\n \nclass Main {\n static In in = new FastIn();\n static Out out = new Out(false);\n static final long inf = 0x1fffffffffffffffL;\n static final int iinf = 0x3fffffff;\n static final double eps = 1e-9;\n static long mod = 998244353;\n \tstatic long[] fib = {0, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733};\n\n // code starts here\n void solve() {\n \tlong n = in.nextLong();\n \tlong k = in.nextLong();\n \t\n \tif(k >= 29){\n \t\tout.println(0);\n \t\treturn;\n \t}\n \t\n \tlong b = fib[(int)k];\n \tlong a = fib[(int)k-1];\n \t\n \tlong gcd = gcd(a , b);\n \t\n \tif(n < b || n % gcd != 0 || b % gcd != 0 || a % gcd != 0){\n \t\tout.println(0);\n \t\treturn;\n \t}\n \t\n \tif(n == b){\n \t\tout.println(1);\n \t\treturn;\n \t}\n \t\n \tlong t1 = b / gcd;\n \tlong t2 = a / gcd;\n \t \n \tlong K = 0;\n \t\nol: \twhile(true){\n \t\tif((n-(K*a)) % b == 0){\n \t\t\tbreak ol;\n \t\t}\n \t\tK++; \n \t}\n \t\n \t\n\t\tlong coeff = (n - (K*a)) / b;\n\t \n \tlong eq2 , eq1;\n \t\n \tlong l = -1 , r = 150000;\n \t\n \twhile(r - l > 1){\n \t\tlong m = (l + r) / 2;\n \t\t\n \t\teq1 = K + m * t1;\n \t\teq2 = coeff - (t2 * m);\n \t\t\n \t\tif(eq2 >= eq1) l = m;\n \t\telse r = m;\n \t}\n \t\n \tout.println(r);\n \t\n }\n \n long gcd(long a, long b) {\n while (b != 0) {\n long t = a;\n a = b; \n b = t % b;\n } \n \n return a;\n \t} \n // ends here , this works in 124ms in java , when converted to c++ using chatgpt it is taking 1000ms, I don' know why\n public static void main(String[] args) {\n int ntc = 1;\n \n ntc = in.nextInt();\n for(int i = 1 ; i <= ntc ; i++)\n new Main().solve();\n out.flush();\n }\n \n int inp(){\n \treturn in.nextInt();\n }\n}\n \nclass FastIn extends In {\n private final BufferedInputStream reader = new BufferedInputStream(System.in);\n private final byte[] buffer = new byte[0x10000];\n private int i = 0;\n private int length = 0;\n \n public int read() {\n if (i == length) {\n i = 0;\n try {\n length = reader.read(buffer);\n } catch (IOException ignored) {\n }\n if (length == -1) {\n return 0;\n }\n }\n if (length <= i) {\n throw new RuntimeException();\n }\n return buffer[i++];\n }\n \n String next() {\n StringBuilder builder = new StringBuilder();\n int b = read();\n while (b < '!' || '~' < b) {\n b = read();\n }\n while ('!' <= b && b <= '~') {\n builder.appendCodePoint(b);\n b = read();\n }\n return builder.toString();\n }\n \n String nextLine() {\n StringBuilder builder = new StringBuilder();\n int b = read();\n while (b != 0 && b != '\\r' && b != '\\n') {\n builder.appendCodePoint(b);\n b = read();\n }\n if (b == '\\r') {\n read();\n }\n return builder.toString();\n }\n \n int nextInt() {\n long val = nextLong();\n if ((int)val != val) {\n throw new NumberFormatException();\n }\n return (int)val;\n }\n \n long nextLong() {\n int b = read();\n while (b < '!' || '~' < b) {\n b = read();\n }\n boolean neg = false;\n if (b == '-') {\n neg = true;\n b = read();\n }\n long n = 0;\n int c = 0;\n while ('0' <= b && b <= '9') {\n n = n * 10 + b - '0';\n b = read();\n c++;\n }\n if (c == 0 || c >= 2 && n == 0) {\n throw new NumberFormatException();\n }\n return neg ? -n : n;\n }\n}\n \nclass In {\n private final BufferedReader reader = new BufferedReader(new InputStreamReader(System.in), 0x10000);\n private StringTokenizer tokenizer;\n \n String next() {\n try {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n tokenizer = new StringTokenizer(reader.readLine());\n }\n } catch (IOException ignored) {\n }\n return tokenizer.nextToken();\n }\n \n int nextInt() {\n return Integer.parseInt(next());\n }\n \n long nextLong() {\n return Long.parseLong(next());\n }\n \n double nextDouble() {\n return Double.parseDouble(next());\n }\n \n char[] nextCharArray() {\n return next().toCharArray();\n }\n \n String[] nextStringArray(int n) {\n String[] s = new String[n];\n for (int i = 0; i < n; i++) {\n s[i] = next();\n }\n return s;\n }\n \n char[][] nextCharGrid(int n, int m) {\n char[][] a = new char[n][m];\n for (int i = 0; i < n; i++) {\n a[i] = next().toCharArray();\n }\n return a;\n }\n \n int[] nextIntArray(int n) {\n int[] a = new int[n];\n for (int i = 0; i < n; i++) {\n a[i] = nextInt();\n }\n return a;\n }\n \n int[] nextIntArray(int n, IntUnaryOperator op) {\n int[] a = new int[n];\n for (int i = 0; i < n; i++) {\n a[i] = op.applyAsInt(nextInt());\n }\n return a;\n }\n \n int[][] nextIntMatrix(int h, int w) {\n int[][] a = new int[h][w];\n for (int i = 0; i < h; i++) {\n a[i] = nextIntArray(w);\n }\n return a;\n }\n \n long[] nextLongArray(int n) {\n long[] a = new long[n];\n for (int i = 0; i < n; i++) {\n a[i] = nextLong();\n }\n return a;\n }\n \n long[] nextLongArray(int n, LongUnaryOperator op) {\n long[] a = new long[n];\n for (int i = 0; i < n; i++) {\n a[i] = op.applyAsLong(nextLong());\n }\n return a;\n }\n \n long[][] nextLongMatrix(int h, int w) {\n long[][] a = new long[h][w];\n for (int i = 0; i < h; i++) {\n a[i] = nextLongArray(w);\n }\n return a;\n }\n \n List> nextEdges(int n, int m, boolean directed) {\n List> res = new ArrayList<>();\n for (int i = 0; i < n; i++) {\n res.add(new ArrayList<>());\n }\n for (int i = 0; i < m; i++) {\n int u = nextInt() - 1;\n int v = nextInt() - 1;\n res.get(u).add(v);\n if (!directed) {\n res.get(v).add(u);\n }\n }\n return res;\n }\n}\n \nclass Out {\n private final PrintWriter out = new PrintWriter(System.out);\n private final PrintWriter err = new PrintWriter(System.err);\n boolean autoFlush = false;\n boolean enableDebug;\n \n Out(boolean enableDebug) {\n this.enableDebug = enableDebug;\n }\n \n void println(Object... args) {\n if (args == null || args.getClass() != Object[].class) {\n args = new Object[] {args};\n }\n out.println(Arrays.stream(args).map(obj -> {\n Class clazz = obj == null ? null : obj.getClass();\n return clazz == Double.class ? String.format(\"%.10f\", obj) :\n clazz == byte[].class ? Arrays.toString((byte[])obj) :\n clazz == short[].class ? Arrays.toString((short[])obj) :\n clazz == int[].class ? Arrays.toString((int[])obj) :\n clazz == long[].class ? Arrays.toString((long[])obj) :\n clazz == char[].class ? Arrays.toString((char[])obj) :\n clazz == float[].class ? Arrays.toString((float[])obj) :\n clazz == double[].class ? Arrays.toString((double[])obj) :\n clazz == boolean[].class ? Arrays.toString((boolean[])obj) :\n obj instanceof Object[] ? Arrays.deepToString((Object[])obj) :\n String.valueOf(obj);\n }).collect(Collectors.joining(\" \")));\n if (autoFlush) {\n out.flush();\n }\n }\n \n void debug(Object... args) {\n if (!enableDebug) {\n return;\n }\n if (args == null || args.getClass() != Object[].class) {\n args = new Object[] {args};\n }\n err.println(Arrays.stream(args).map(obj -> {\n Class clazz = obj == null ? null : obj.getClass();\n return clazz == Double.class ? String.format(\"%.10f\", obj) :\n clazz == byte[].class ? Arrays.toString((byte[])obj) :\n clazz == short[].class ? Arrays.toString((short[])obj) :\n clazz == int[].class ? Arrays.toString((int[])obj) :\n clazz == long[].class ? Arrays.toString((long[])obj) :\n clazz == char[].class ? Arrays.toString((char[])obj) :\n clazz == float[].class ? Arrays.toString((float[])obj) :\n clazz == double[].class ? Arrays.toString((double[])obj) :\n clazz == boolean[].class ? Arrays.toString((boolean[])obj) :\n obj instanceof Object[] ? Arrays.deepToString((Object[])obj) :\n String.valueOf(obj);\n }).collect(Collectors.joining(\" \")));\n err.flush();\n }\n \n void println(char a) {\n out.println(a);\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(int a) {\n out.println(a);\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(long a) {\n out.println(a);\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(double a) {\n out.println(String.format(\"%.10f\", a));\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(String s) {\n out.println(s);\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(char[] s) {\n out.println(String.valueOf(s));\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(int[] a) {\n StringJoiner joiner = new StringJoiner(\" \");\n for (int i : a) {\n joiner.add(Integer.toString(i));\n }\n out.println(joiner);\n if (autoFlush) {\n out.flush();\n }\n }\n \n void println(long[] a) {\n StringJoiner joiner = new StringJoiner(\" \");\n for (long i : a) {\n joiner.add(Long.toString(i));\n }\n out.println(joiner);\n if (autoFlush) {\n out.flush();\n }\n }\n \n void flush() {\n err.flush();\n out.flush();\n }\n}\n// template - Yu_212","codes",[3396],{"_3397":3398,"_3392":3399},"file","fib","#include \n#include \n#include \n#include \n#include \n\nusing namespace std;\n\ntypedef long long ll;\n\nconst ll fib[] = {0, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465};\n\nvoid solve() {\n ll n, k;\n cin >> n >> k;\n\n if (k >= 30) {\n cout << 0 << endl;\n return;\n }\n\n ll b = fib[k];\n ll a = fib[k - 1];\n\n ll gcd_val = __gcd(a, b);\n\n if ((n % gcd_val != 0)) {\n cout << 0 << endl;\n return;\n }\n\n ll t1 = b / gcd_val;\n ll t2 = a / gcd_val;\n \n // finding any one valid soln of the equation\n ll K = 0;\n while (true) {\n if ((n - (K * a)) % b == 0) {\n break;\n }\n K++;\n }\n \n \n // eq1 and eq2 are the parametric coordinates of all the solutions of the equation\n ll l = -1 , r = 200000;\n \n while(r - l > 1){\n ll m = (l + r) / 2;\n \n ll eq1 = K + m * t1;\n ll eq2 = ((n - (K * a)) / b) - (t2 * m);\n \n if(eq2 >= eq1) l = m;\n else r = m;\n }\n \n cout << r << \"\\n\";\n}\n\nint main() {\n int ntc = 1;\n\n cin >> ntc;\n for (int i = 1; i <= ntc; i++)\n solve();\n\n return 0;\n}\n","stdin","8\n22 4\n3 9\n55 11\n42069 6\n69420 4\n69 1434\n1 3\n1 4","compiler","openjdk-jdk-15.0.3+2","createdAt",1690322879,"title","description","isPrivate","compilerInfo",{"_11":3403,"_13":3411,"_15":1204,"_17":1205,"_19":3412,"_22":23,"_24":25,"_26":1208,"_28":3413},"jdk-15.0.3+2",[1207],[],"results",[3416,3420,3423,3426],{"_31":3417,"_3418":3419},"Control","data","Start",{"_31":3421,"_3418":3422},"StdOut","4\n0\n1\n1052\n11571\n0\n1\n0\n",{"_31":3424,"_3418":3425},"ExitCode","0",{"_31":3417,"_3418":3427},"Finish","hpplib",[3430,3445,3456,3465,3474,3483,3492,3501,3511,3520,3531,3542,3553,3564,3575,3586],{"_11":3431,"_3432":3433,"_3407":3434,"_3435":3436,"_3437":3438,"_3443":3444},"CLI11","repository","CLIUtils/CLI11","CLI11 is a command line parser for C++11 and beyond that provides a rich feature set with a simple and intuitive interface.","headerDescription","","wandbox",{"_3439":3440,"_3441":3442},"tagName","v2.5.0","publishedAt","2025-02-27T12:29:12Z","clangd",{"_3439":3440,"_3441":3442},{"_11":3446,"_3432":3447,"_3407":3448,"_3435":3449,"_3437":3450,"_3443":3453},"cxxopts","jarro2783/cxxopts","Lightweight C++ command line option parser","",{"_3439":3451,"_3441":3452},"v3.3.1","2025-05-26T08:12:04Z",{"_3439":3454,"_3441":3455},"v3.2.0","2024-02-15T05:32:43Z",{"_11":3457,"_3432":3458,"_3407":3459,"_3435":3460,"_3437":3461,"_3443":3464},"nanobench","martinus/nanobench","Simple, fast, accurate single-header microbenchmarking functionality for C++11/14/17/20","",{"_3439":3462,"_3441":3463},"v4.3.11","2023-02-16T19:06:26Z",{"_3439":3462,"_3441":3463},{"_11":3466,"_3432":3467,"_3407":3468,"_3435":3469,"_3437":3470,"_3443":3473},"toml11","ToruNiina/toml11","TOML for Modern C++","",{"_3439":3471,"_3441":3472},"v4.4.0","2025-02-15T16:20:52Z",{"_3439":3471,"_3441":3472},{"_11":3475,"_3432":3476,"_3407":3477,"_3435":3478,"_3437":3479,"_3443":3482},"toml++","marzer/tomlplusplus","Header-only TOML config file parser and serializer for C++17.","",{"_3439":3480,"_3441":3481},"v3.4.0","2023-10-13T13:45:17Z",{"_3439":3480,"_3441":3481},{"_11":3484,"_3432":3485,"_3407":3486,"_3435":3487,"_3437":3488,"_3443":3491},"rapidjson","Tencent/rapidjson","A fast JSON parser/generator for C++ with both SAX/DOM style API","",{"_3439":3489,"_3441":3490},"v1.1.0","2016-08-25T08:01:22Z",{"_3439":3489,"_3441":3490},{"_11":3493,"_3432":3494,"_3407":3495,"_3435":3496,"_3437":3497,"_3443":3500},"picojson","kazuho/picojson","a header-file-only, JSON parser serializer in C++","",{"_3439":3498,"_3441":3499},"v1.3.0","2015-02-25T04:12:53Z",{"_3439":3498,"_3441":3499},{"_11":3502,"_3432":3502,"_3407":3503,"_3435":3504,"_3437":3505,"_3443":3508},"nlohmann/json","JSON for Modern C++","",{"_3439":3506,"_3441":3507},"v3.12.0","2025-04-11T08:43:39Z",{"_3439":3509,"_3441":3510},"v3.11.3","2023-11-28T21:38:09Z",{"_11":3512,"_3432":3513,"_3407":3514,"_3435":3515,"_3437":3516,"_3443":3519},"csv-parser","vincentlaucsb/csv-parser","A high-performance, fully-featured CSV parser and serializer for modern C++.","",{"_3439":3517,"_3441":3518},"2.3.0","2024-06-15T20:23:18Z",{"_3439":3517,"_3441":3518},{"_11":3521,"_3432":3522,"_3407":3523,"_3435":3524,"_3437":3525,"_3443":3528},"rapidcsv","d99kris/rapidcsv","C++ CSV parser library","",{"_3439":3526,"_3441":3527},"v8.87","2025-05-17T05:37:53Z",{"_3439":3529,"_3441":3530},"v8.84","2024-09-28T05:31:16Z",{"_11":3532,"_3432":3533,"_3407":3534,"_3435":3535,"_3437":3536,"_3443":3539},"fmt","fmtlib/fmt","A modern formatting library","",{"_3439":3537,"_3441":3538},"11.2.0","2025-05-03T16:40:00Z",{"_3439":3540,"_3441":3541},"11.1.4","2025-02-26T18:33:33Z",{"_11":3543,"_3432":3544,"_3407":3545,"_3435":3546,"_3437":3547,"_3443":3550},"NumCpp","dpilger26/NumCpp","C++ implementation of the Python Numpy library","",{"_3439":3548,"_3441":3549},"Version_2.14.1","2025-05-05T03:42:56Z",{"_3439":3551,"_3441":3552},"Version_2.14.0","2025-02-09T04:16:30Z",{"_11":3554,"_3432":3555,"_3407":3556,"_3435":3557,"_3437":3558,"_3443":3561},"spdlog","gabime/spdlog","Fast C++ logging library.","",{"_3439":3559,"_3441":3560},"v1.15.3","2025-05-09T08:59:29Z",{"_3439":3562,"_3441":3563},"v1.15.1","2025-02-01T12:08:58Z",{"_11":3565,"_3432":3566,"_3407":3567,"_3435":3568,"_3437":3569,"_3443":3572},"expected-lite","martinmoene/expected-lite","expected lite - Expected objects in C++11 and later in a single-file header-only library","",{"_3439":3570,"_3441":3571},"v0.9.0","2025-06-24T10:27:34Z",{"_3439":3573,"_3441":3574},"v0.8.0","2024-06-05T21:24:45Z",{"_11":3576,"_3432":3577,"_3407":3578,"_3435":3579,"_3437":3580,"_3443":3583},"gsl-lite","gsl-lite/gsl-lite","ISO C++ Core Guidelines Library implementation for C++98, C++11 up","",{"_3439":3581,"_3441":3582},"v1.0.1","2025-05-19T21:18:08Z",{"_3439":3584,"_3441":3585},"v0.42.0","2024-11-01T20:24:11Z",{"_11":3587,"_3432":3588,"_3407":3589,"_3435":3590,"_3437":3591,"_3443":3594},"ut","boost-ext/ut","C++20 μ(micro)/Unit Testing framework","",{"_3439":3592,"_3441":3593},"v2.3.1","2025-04-02T13:02:52Z",{"_3439":3595,"_3441":3596},"v2.3.0","2025-02-04T11:58:39Z","env",{"_3599":3600,"_3601":3602,"_3603":3604,"_3605":3606,"_3607":3608,"_3609":3610,"_3611":3612,"_3613":3614,"_3615":3616},"KV_CACHE",{},"KV_SESSION",{},"R2_BUCKET",{},"WANDBOX_GITHUB_CLIENT_ID","f9d429d939d997e6b08e","WANDBOX_GITHUB_CLIENT_SECRET","d99b3d12225671cde514d9e2b3d5cc8356f4ed5f","WANDBOX_KV_COOKIE_SECRET","FaCnykHoYzqiXReGkgvmcYGvQdQ4yZUE","WANDBOX_R2_PREFIX","master/","WANDBOX_URL_PREFIX","https://api.wandbox.org","ASSETS",{},"root","actionData","errors"]