Arkady and his friends love playing checkers on an n × n field. The rows and the columns of the field are enumerated from 1 to n.

The friends have recently won a championship, so Arkady wants to please them with some candies. Remembering an old parable (but not its moral), Arkady wants to give to his friends one set of candies per each cell of the field: the set of candies for cell (i, j) will have exactly (i^2 + j^2) candies of unique type.

There are m friends who deserve the present. How many of these n × n sets of candies can be split equally into m parts without cutting a candy into pieces? Note that each set has to be split independently since the types of candies in different sets are different.

Input

The only line contains two integers n and m (1 ≤ n ≤ 10^9, 1 ≤ m ≤ 1000) — the size of the field and the number of parts to split the sets into.

Output

Print a single integer — the number of sets that can be split equally.

Examples

Input


3 3


Output


1


Input


6 5


Output


13


Input


1000000000 1


Output


1000000000000000000

Note

In the first example, only the set for cell (3, 3) can be split equally (3^2 + 3^2 = 18, which is divisible by m=3).

In the second example, the sets for the following cells can be divided equally: 

  * (1, 2) and (2, 1), since 1^2 + 2^2 = 5, which is divisible by 5; 
  * (1, 3) and (3, 1); 
  * (2, 4) and (4, 2); 
  * (2, 6) and (6, 2); 
  * (3, 4) and (4, 3); 
  * (3, 6) and (6, 3); 
  * (5, 5). 



In the third example, sets in all cells can be divided equally, since m = 1.
//package contest.MailRuCup2018Round3;

import java.io.*;
import java.util.*;

/***********************
 * @oj: codeforces
 * @id: hitwanyang
 * @email: 296866643@qq.com
 * @date: 2021/2/2 17:32
 * @url: https://codeforc.es/problemset/problem/1056/B
 ***********************/

public class B {
    InputStream is;
    FastWriter  out;
    String      INPUT = "";

    //提交时注意需要注释掉首行package
    //基础类型数组例如long[]使用Arrays排序容易TLE,可以替换成Long[]
    //int 最大值2**31-1,2147483647;
    void solve() {
        //int t=ni();
        //for (; t > 0; t--)
        go();
    }

    void go() {
        long ans = 0;
        long n = nl();
        int m = ni();
        if (m == 1) {
            out.println(n * n);
            return;
        }
        List<int[]> list = new ArrayList<>();

        for (int i = 1; i <= m; i++) {
            for (int j = 1; j <= m; j++) {
                int[] v = new int[] { i, j };
                int mod = (i * i + j * j) % m;
                if (mod == 0) {
                    list.add(v);
                }
            }
        }
        long cnt = n / m;
        for (int[] pos : list) {
            int i = pos[0], j = pos[1];
            long x = cnt, y = cnt;
            if (i <= n % m) {
                x++;
            }
            if (j <= n % m) {
                y++;
            }
            ans += x * y;
        }
        out.println(ans);
    }

    void run() throws Exception {
        is = System.in;
        out = new FastWriter(System.out);

        long s = System.currentTimeMillis();
        solve();
        out.flush();
        //debug log
        //tr(System.currentTimeMillis() - s + "ms");
    }

    public static void main(String[] args) throws Exception {
        new B().run();
    }

    private byte[] inbuf  = new byte[1024];
    public int     lenbuf = 0, ptrbuf = 0;

    private int readByte() {
        if (lenbuf == -1)
            throw new InputMismatchException();
        if (ptrbuf >= lenbuf) {
            ptrbuf = 0;
            try {
                lenbuf = is.read(inbuf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (lenbuf <= 0)
                return -1;
        }
        return inbuf[ptrbuf++];
    }

    private boolean isSpaceChar(int c) {
        return !(c >= 33 && c <= 126);
    }

    private int skip() {
        int b;
        while ((b = readByte()) != -1 && isSpaceChar(b))
            ;
        return b;
    }

    private double nd() {
        return Double.parseDouble(ns());
    }

    private char nc() {
        return (char) skip();
    }

    private String ns() {
        int b = skip();
        StringBuilder sb = new StringBuilder();
        while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != ' ')
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    private char[] ns(int n) {
        char[] buf = new char[n];
        int b = skip(), p = 0;
        while (p < n && !(isSpaceChar(b))) {
            buf[p++] = (char) b;
            b = readByte();
        }
        return n == p ? buf : Arrays.copyOf(buf, p);
    }

    private int[] na(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++)
            a[i] = ni();
        return a;
    }

    private long[] nal(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++)
            a[i] = nl();
        return a;
    }

    private char[][] nm(int n, int m) {
        char[][] map = new char[n][];
        for (int i = 0; i < n; i++)
            map[i] = ns(m);
        return map;
    }

    private int[][] nmi(int n, int m) {
        int[][] map = new int[n][];
        for (int i = 0; i < n; i++)
            map[i] = na(m);
        return map;
    }

    private int ni() {
        return (int) nl();
    }

    private long nl() {
        long num = 0;
        int b;
        boolean minus = false;
        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
            ;
        if (b == '-') {
            minus = true;
            b = readByte();
        }

        while (true) {
            if (b >= '0' && b <= '9') {
                num = num * 10 + (b - '0');
            } else {
                return minus ? -num : num;
            }
            b = readByte();
        }
    }

    public static class FastWriter {
        private static final int   BUF_SIZE = 1 << 13;
        private final byte[]       buf      = new byte[BUF_SIZE];
        private final OutputStream out;
        private int                ptr      = 0;

        private FastWriter() {
            out = null;
        }

        public FastWriter(OutputStream os) {
            this.out = os;
        }

        public FastWriter(String path) {
            try {
                this.out = new FileOutputStream(path);
            } catch (FileNotFoundException e) {
                throw new RuntimeException("FastWriter");
            }
        }

        public FastWriter write(byte b) {
            buf[ptr++] = b;
            if (ptr == BUF_SIZE)
                innerflush();
            return this;
        }

        public FastWriter write(char c) {
            return write((byte) c);
        }

        public FastWriter write(char[] s) {
            for (char c : s) {
                buf[ptr++] = (byte) c;
                if (ptr == BUF_SIZE)
                    innerflush();
            }
            return this;
        }

        public FastWriter write(String s) {
            s.chars().forEach(c -> {
                buf[ptr++] = (byte) c;
                if (ptr == BUF_SIZE)
                    innerflush();
            });
            return this;
        }

        private static int countDigits(int l) {
            if (l >= 1000000000)
                return 10;
            if (l >= 100000000)
                return 9;
            if (l >= 10000000)
                return 8;
            if (l >= 1000000)
                return 7;
            if (l >= 100000)
                return 6;
            if (l >= 10000)
                return 5;
            if (l >= 1000)
                return 4;
            if (l >= 100)
                return 3;
            if (l >= 10)
                return 2;
            return 1;
        }

        public FastWriter write(int x) {
            if (x == Integer.MIN_VALUE) {
                return write((long) x);
            }
            if (ptr + 12 >= BUF_SIZE)
                innerflush();
            if (x < 0) {
                write((byte) '-');
                x = -x;
            }
            int d = countDigits(x);
            for (int i = ptr + d - 1; i >= ptr; i--) {
                buf[i] = (byte) ('0' + x % 10);
                x /= 10;
            }
            ptr += d;
            return this;
        }

        private static int countDigits(long l) {
            if (l >= 1000000000000000000L)
                return 19;
            if (l >= 100000000000000000L)
                return 18;
            if (l >= 10000000000000000L)
                return 17;
            if (l >= 1000000000000000L)
                return 16;
            if (l >= 100000000000000L)
                return 15;
            if (l >= 10000000000000L)
                return 14;
            if (l >= 1000000000000L)
                return 13;
            if (l >= 100000000000L)
                return 12;
            if (l >= 10000000000L)
                return 11;
            if (l >= 1000000000L)
                return 10;
            if (l >= 100000000L)
                return 9;
            if (l >= 10000000L)
                return 8;
            if (l >= 1000000L)
                return 7;
            if (l >= 100000L)
                return 6;
            if (l >= 10000L)
                return 5;
            if (l >= 1000L)
                return 4;
            if (l >= 100L)
                return 3;
            if (l >= 10L)
                return 2;
            return 1;
        }

        public FastWriter write(long x) {
            if (x == Long.MIN_VALUE) {
                return write("" + x);
            }
            if (ptr + 21 >= BUF_SIZE)
                innerflush();
            if (x < 0) {
                write((byte) '-');
                x = -x;
            }
            int d = countDigits(x);
            for (int i = ptr + d - 1; i >= ptr; i--) {
                buf[i] = (byte) ('0' + x % 10);
                x /= 10;
            }
            ptr += d;
            return this;
        }

        public FastWriter write(double x, int precision) {
            if (x < 0) {
                write('-');
                x = -x;
            }
            x += Math.pow(10, -precision) / 2;
            //		if(x < 0){ x = 0; }
            write((long) x).write(".");
            x -= (long) x;
            for (int i = 0; i < precision; i++) {
                x *= 10;
                write((char) ('0' + (int) x));
                x -= (int) x;
            }
            return this;
        }

        public FastWriter writeln(char c) {
            return write(c).writeln();
        }

        public FastWriter writeln(int x) {
            return write(x).writeln();
        }

        public FastWriter writeln(long x) {
            return write(x).writeln();
        }

        public FastWriter writeln(double x, int precision) {
            return write(x, precision).writeln();
        }

        public FastWriter write(int... xs) {
            boolean first = true;
            for (int x : xs) {
                if (!first)
                    write(' ');
                first = false;
                write(x);
            }
            return this;
        }

        public FastWriter write(long... xs) {
            boolean first = true;
            for (long x : xs) {
                if (!first)
                    write(' ');
                first = false;
                write(x);
            }
            return this;
        }

        public FastWriter writeln() {
            return write((byte) '\n');
        }

        public FastWriter writeln(int... xs) {
            return write(xs).writeln();
        }

        public FastWriter writeln(long... xs) {
            return write(xs).writeln();
        }

        public FastWriter writeln(char[] line) {
            return write(line).writeln();
        }

        public FastWriter writeln(char[]... map) {
            for (char[] line : map)
                write(line).writeln();
            return this;
        }

        public FastWriter writeln(String s) {
            return write(s).writeln();
        }

        private void innerflush() {
            try {
                out.write(buf, 0, ptr);
                ptr = 0;
            } catch (IOException e) {
                throw new RuntimeException("innerflush");
            }
        }

        public void flush() {
            innerflush();
            try {
                out.flush();
            } catch (IOException e) {
                throw new RuntimeException("flush");
            }
        }

        public FastWriter print(byte b) {
            return write(b);
        }

        public FastWriter print(char c) {
            return write(c);
        }

        public FastWriter print(char[] s) {
            return write(s);
        }

        public FastWriter print(String s) {
            return write(s);
        }

        public FastWriter print(int x) {
            return write(x);
        }

        public FastWriter print(long x) {
            return write(x);
        }

        public FastWriter print(double x, int precision) {
            return write(x, precision);
        }

        public FastWriter println(char c) {
            return writeln(c);
        }

        public FastWriter println(int x) {
            return writeln(x);
        }

        public FastWriter println(long x) {
            return writeln(x);
        }

        public FastWriter println(double x, int precision) {
            return writeln(x, precision);
        }

        public FastWriter print(int... xs) {
            return write(xs);
        }

        public FastWriter print(long... xs) {
            return write(xs);
        }

        public FastWriter println(int... xs) {
            return writeln(xs);
        }

        public FastWriter println(long... xs) {
            return writeln(xs);
        }

        public FastWriter println(char[] line) {
            return writeln(line);
        }

        public FastWriter println(char[]... map) {
            return writeln(map);
        }

        public FastWriter println(String s) {
            return writeln(s);
        }

        public FastWriter println() {
            return writeln();
        }
    }

    public void trnz(int... o) {
        for (int i = 0; i < o.length; i++)
            if (o[i] != 0)
                System.out.print(i + ":" + o[i] + " ");
        System.out.println();
    }

    // print ids which are 1
    public void trt(long... o) {
        Queue<Integer> stands = new ArrayDeque<>();
        for (int i = 0; i < o.length; i++) {
            for (long x = o[i]; x != 0; x &= x - 1)
                stands.add(i << 6 | Long.numberOfTrailingZeros(x));
        }
        System.out.println(stands);
    }

    public void tf(boolean... r) {
        for (boolean x : r)
            System.out.print(x ? '#' : '.');
        System.out.println();
    }

    public void tf(boolean[]... b) {
        for (boolean[] r : b) {
            for (boolean x : r)
                System.out.print(x ? '#' : '.');
            System.out.println();
        }
        System.out.println();
    }

    public void tf(long[]... b) {
        if (INPUT.length() != 0) {
            for (long[] r : b) {
                for (long x : r) {
                    for (int i = 0; i < 64; i++) {
                        System.out.print(x << ~i < 0 ? '#' : '.');
                    }
                }
                System.out.println();
            }
            System.out.println();
        }
    }

    public void tf(long... b) {
        if (INPUT.length() != 0) {
            for (long x : b) {
                for (int i = 0; i < 64; i++) {
                    System.out.print(x << ~i < 0 ? '#' : '.');
                }
            }
            System.out.println();
        }
    }

    private void tr(Object... o) {
        System.out.println(Arrays.deepToString(o));
    }
}
