Language: Java

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashSet;
import java.util.NoSuchElementException;
import java.util.function.IntBinaryOperator;
import java.util.function.UnaryOperator;

import lib.MathUtil;

public class Main {
    public static void main(String[] args) {
        Out out = new Out();
        solve(out);
        out.outln();
        out.flush();
        out.close();
    }

    public static void solve(Out out) {
        int mod = (int) Const.MOD7;
        int n = Math.max(3, In.ni());
        int m = In.ni();
        int[] rlx = new int[m];
        int b1 = MathUtil.ceilExponent(n + 1);
        int b2 = b1 << 1;
        int mask1 = (1 << b1) - 1;
        int mask2 = (1 << b2) - 1;
        int l, r, x;
        for (int i = 0; i < m; i++) {
            l = In.ni();
            r = In.ni();
            x = In.ni();
            rlx[i] = (r << b2) + (l << b1) + x;
        }
        Arrays.sort(rlx);
        int[] ft = ArrayUtil.filledArray(-1, n + 1);
        int bm = MathUtil.ceilExponent(m);
        int mask = (1 << bm) - 1;
        for (int i = 0; i < m; i++) {
            l = (rlx[i] & mask2) >> b1;
            r = rlx[i] >> b2;
            x = rlx[i] & mask1;
            if (i == 0 || r != rlx[i - 1] >> b2) {
                ft[r] = 0;
                ft[r] += i;
            }
            if (i == m - 1 || r != rlx[i + 1] >> b2) {
                ft[r] += i << bm;
            }
        }
        int n2 = (n + 1) * (n + 1);
        int n1 = n + 1;
        int[] dp = new int[n1 * n1 * n1];
        dp[0] = 1;
        int i, j, k;
        int p, q;
        int fr, to;
        int ii, jj, kk;
        int ijk, ijk2;
        boolean ok, ib, jb, kb, and, xor;
        for (i = 0; i < n; i++) {
            for (j = 0; j < n; j++) {
                for (k = 0; k < n; k++) {
                    ijk = i * n2 + j * n1 + k;
                    if (dp[ijk] == 0) {
                        continue;
                    }
                    r = IntUtil.max(i, j, k);
                    for (q = 0; q < 3; q++) {
                        ii = q == 0 ? r + 1 : i;
                        jj = q == 1 ? r + 1 : j;
                        kk = q == 2 ? r + 1 : k;
                        ijk2 = ii * n2 + jj * n1 + kk;
                        if ((ii == jj & ii != 0) | (jj == kk & jj != 0) | (kk == ii & kk != 0)) {
                            continue;
                        }
                        if (ft[r + 1] < 0) {
                            dp[ijk2] += dp[ijk];
                            if (dp[ijk2] >= mod) {
                                dp[ijk2] -= mod;
                            }
                        } else {
                            ok = true;
                            fr = ft[r + 1] & mask;
                            to = ft[r + 1] >> bm;
                            for (p = fr; p <= to; p++) {
                                l = (rlx[p] & mask2) >> b1;
                                x = rlx[p] & mask1;
                                ib = ii >= l;
                                jb = jj >= l;
                                kb = kk >= l;
                                and = ib & jb & kb;
                                xor = ib ^ jb ^ kb;
                                ok &= (x == 1 & !and & xor) | (x == 2 & !xor) | (x == 3 & and);
                                if (!ok) {
                                    break;
                                }
                            }
                            if (ok) {
                                dp[ijk2] += dp[ijk];
                                if (dp[ijk2] >= mod) {
                                    dp[ijk2] -= mod;
                                }
                            }
                        }
                    }
                }
            }
        }
        long ans = 0;
        for (i = 0; i < n; i++) { 
            for (j = 0; j < n; j++) {
                ans += dp[n * n2 + i * n1 + j];
                ans += dp[j * n2 + n * n1 + i];
                ans += dp[i * n2 + j * n1 + n];
            }
        }
        out.append(ans % mod);
    }
}



class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;

    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        } else {
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }

    private int readByte() {
        if (hasNextByte()) {
            return buffer[ptr++];
        } else {
            return -1;
        }
    }

    private static boolean isPrintableChar(int c) {
        return 33 <= c && c <= 126;
    }

    public boolean hasNext() {
        while (hasNextByte() && !isPrintableChar(buffer[ptr])) {
            ptr++;
        }
        return hasNextByte();
    }

    public String next() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while (isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    public long nextLong() {
        if (!hasNext()) {
            throw new NoSuchElementException();
        }
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while (true) {
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            } else if (b == -1 || !isPrintableChar(b)) {
                return minus ? -n : n;
            } else {
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }

    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
            throw new NumberFormatException();
        }
        return (int) nl;
    }

    public double nextDouble() {
        return Double.parseDouble(next());
    }
}


class IntUtil {

    private IntUtil(){}
    
    public static int min(int... a) {
        int ret = Const.IINF;
        for (int c : a) ret = Math.min(ret, c);
        return ret;
    }

    public static int max(int... a) {
        int ret = -Const.IINF;
        for (int c : a) ret = Math.max(ret, c);
        return ret;
    }

    /**
     * Caluculate the ceil of a/b. Returns the smallest integer greater than or
     * equal to a/b while 'a/b' rounds fractional parts to ZERO.
     * 
     * @param a
     * @param b
     * @return the smallest integer greater than or equal to a/b
     */
    public static int cld(int a, int b) {
        if (a > 0 && b > 0) return (a + b - 1) / b;
        else if (a < 0 && b < 0) return (a + b + 1) / b;
        else return a / b;
    }

    /**
     * Caluculate the floor of a/b. Returns the largest integer less than or equal
     * to a/b while 'a/b' rounds fractional parts to ZERO.
     * 
     * @param a
     * @param b
     * @return the largest integer less than or equal to a/b
     */
    public static int fld(int a, int b) {
        if (a <= 0 && b > 0) return (a - b + 1) / b;
        else if (a > 0 && b <= 0) return (a - b - 1) / b;
        else return a / b;
    }

    public static int fold(IntBinaryOperator func, int e, int... a) {
        int ret = e;
        for (int c : a) ret = func.applyAsInt(ret, c);
        return ret;
    }
}


class Out {
    private StringBuilder sb = new StringBuilder();
    private PrintWriter w = new PrintWriter(System.out);

    public Out() {
    }

    public void append(int v) {
        sb.append(v);
    }

    public void append(long v) {
        sb.append(v);
    }

    public void append(char c) {
        sb.append(c);
    }

    public void append(double v) {
        sb.append(v);
    }

    public void append(char[] c) {
        sb.append(c);
    }

    public void append(String s) {
        sb.append(s);
    }

    public void append(Object e) {
        sb.append(e);
    }

    public void append(int[] a, String sep) {
        for (int i = 0; i < a.length; i++) {
            append(a[i]);
            if (i < a.length - 1) {
                append(sep);
            }
        }
    }

    public void append(long[] a, String sep) {
        for (int i = 0; i < a.length; i++) {
            append(a[i]);
            if (i < a.length - 1) {
                append(sep);
            }
        }
    }

    public void append(char[] a, String sep) {
        for (int i = 0; i < a.length; i++) {
            append(a[i]);
            if (i < a.length - 1) {
                append(sep);
            }
        }
    }

    public void append(double[] a, String sep) {
        for (int i = 0; i < a.length; i++) {
            append(a[i]);
            if (i < a.length - 1) {
                append(sep);
            }
        }
    }

    public void append(char[][] c, String sep) {
        for (int i = 0; i < c.length; i++) {
            append(c[i]);
            if (i < c.length - 1) {
                append(sep);
            }
        }
    }

    public void append(String[] a, String sep) {
        for (int i = 0; i < a.length; i++) {
            append(a[i]);
            if (i < a.length - 1) {
                append(sep);
            }
        }
    }

    public void append(Object[] a, String sep) {
        for (int i = 0; i < a.length; i++) {
            append(a[i]);
            if (i < a.length - 1) {
                append(sep);
            }
        }
    }

    public void out() {
        w.print(sb);
        clearBuilder();
    }

    public void outln() {
        w.println(sb);
        clearBuilder();
    }

    public void print(int v) {
        w.print(v);
    }

    public void print(long v) {
        w.print(v);
    }

    public void print(char c) {
        w.print(c);
    }

    public void print(double v) {
        w.print(v);
    }

    public void print(String s) {
        w.print(s);
    }

    public void print(Object e) {
        w.print(e);
    }

    public void print(String sep, int... a) {
        StringBuilder s = new StringBuilder();
        for (int i = 0; i < a.length; i++) {
            s.append(a[i]);
            if (i < a.length - 1) {
                s.append(sep);
            }
        }
        print(s);
    }

    public void print(String sep, long... a) {
        StringBuilder s = new StringBuilder();
        for (int i = 0; i < a.length; i++) {
            s.append(a[i]);
            if (i < a.length - 1) {
                s.append(sep);
            }
        }
        print(s);
    }

    public void print(String sep, char... a) {
        StringBuilder s = new StringBuilder();
        for (int i = 0; i < a.length; i++) {
            s.append(a[i]);
            if (i < a.length - 1) {
                s.append(sep);
            }
        }
        print(s);
    }

    public void print(String sep, double... a) {
        StringBuilder s = new StringBuilder();
        for (int i = 0; i < a.length; i++) {
            s.append(a[i]);
            if (i < a.length - 1) {
                s.append(sep);
            }
        }
        print(s);
    }

    public void print(String sep, String... a) {
        StringBuilder s = new StringBuilder();
        for (int i = 0; i < a.length; i++) {
            s.append(a[i]);
            if (i < a.length - 1) {
                s.append(sep);
            }
        }
        print(s);
    }

    public void print(String sep, Object... a) {
        StringBuilder s = new StringBuilder();
        for (int i = 0; i < a.length; i++) {
            s.append(a[i]);
            if (i < a.length - 1) {
                s.append(sep);
            }
        }
        print(s);
    }

    public void println() {
        w.println();
    }

    public void println(int v) {
        w.println(v);
    }

    public void println(long v) {
        w.println(v);
    }

    public void println(double v) {
        w.println(v);
    }

    public void println(char c) {
        w.println(c);
    }

    public void println(String s) {
        w.println(s);
    }

    public void println(Object e) {
        w.println(e);
    }

    public void println(String sep, int... a) {
        print(sep, a);
        println();
    }

    public void println(String sep, long... a) {
        print(sep, a);
        println();
    }

    public void println(String sep, double... a) {
        print(sep, a);
        println();
    }

    public void println(String sep, char... a) {
        print(sep, a);
        println();
    }

    public void println(String sep, String... a) {
        print(sep, a);
        println();
    }

    // public void println(String sep, Object... a) {
    //     print(sep, a);
    //     println();
    // }

    public void flush() {
        w.flush();
    }

    public void close() {
        w.close();
    }

    public void clearBuilder() {
        sb = new StringBuilder();
    }

    public void reverse() {
        sb.reverse();
    }

    public void delete(int start, int end) {
        sb.delete(start, end);
    }

    public void delete(int length) {
        sb.delete(sb.length() - length, sb.length());
    }

    public int length() {
        return sb.length();
    }
}

class Const {
    public static final long MOD7 = 1_000_000_007;
    public static final long MOD9 = 1_000_000_009;
    public static final long MOD99 = 998_244_353;

    public static final long LINF = 1_000_000_000_000_000_000l;
    public static final int IINF = 1_000_000_000;
    public static final double DINF = 1e150;

    public static final double DELTA = 0.000_000_000_1;
    public static final double LDELTA = 0.000_001;

    public static final String YES = "YES";
    public static final String NO = "NO";
    public static final String Yes = "Yes";
    public static final String No = "No";
    public static final String POSSIBLE = "POSSIBLE";
    public static final String IMPOSSIBLE = "IMPOSSIBLE";
    public static final String Possible = "Possible";
    public static final String Impossible = "Impossible";

    public static final int[] dx8 = {1, 0, -1, 0, 1, -1, -1, 1};
    public static final int[] dy8 = {0, 1, 0, -1, 1, 1, -1, -1};
    public static final int[] dx = {1, 0, -1, 0};
    public static final int[] dy = {0, 1, 0, -1};

    private Const(){}
}


class In {
    public static final FastScanner fsc = new FastScanner();

    public static int ni() {
        return fsc.nextInt();
    }

    public static int[] ni(int n) {
        int[] a = new int[n];
        Arrays.setAll(a, i -> fsc.nextInt());
        return a;
    }

    public static int[][] ni(int n, int m) {
        int[][] a = new int[n][m];
        Arrays.setAll(a, i -> ni(m));
        return a;
    }

    public static long nl() {
        return fsc.nextLong();
    }

    public static long[] nl(int n) {
        long[] a = new long[n];
        Arrays.setAll(a, i -> fsc.nextLong());
        return a;
    }

    public static long[][] nl(int n, int m) {
        long[][] a = new long[n][m];
        Arrays.setAll(a, i -> nl(m));
        return a;
    }

    public static char[] nc() {
        return fsc.next().toCharArray();
    }

    public static char[][] nc(int n, int m) {
        char[][] c = new char[n][m];
        Arrays.setAll(c, i -> nc());
        return c;
    }

    public static double nd() {
        return fsc.nextDouble();
    }

    public static double[] nd(int n) {
        double[] a = new double[n];
        Arrays.setAll(a, i -> nd());
        return a;
    }

    public static double[][] nd(int n, int m) {
        double[][] a = new double[n][m];
        Arrays.setAll(a, i -> nd(m));
        return a;
    }

    public static String ns() {
        return fsc.next();
    }

    public static String[] ns(int n) {
        String[] s = new String[n];
        Arrays.setAll(s, i -> ns());
        return s;
    }

    public static boolean[][] inputGrid(int h, int w, char truechar) {
        boolean[][] grid = new boolean[h][w];
        for (int i = 0; i < h; i++) {
            char[] s = fsc.next().toCharArray();
            for (int j = 0; j < w; j++) {
                grid[i][j] = s[j] == truechar;
            }
        }
        return grid;
    }
}


class ArrayUtil {
    public static int[] compress(long[] a) {
        int n = a.length;
        HashSet<Long> set = new HashSet<>();
        for (long e : a) {
            set.add(e);
        }
        ArrayList<Long> sorted = new ArrayList<>(set);
        int size = sorted.size();
        Collections.sort(sorted);
        int[] compress = new int[n];
        for (int i = 0; i < n; i++) {
            int l = 0, r = size;
            while (r - l > 1) {
                int m = l + (r - l) / 2;
                if (sorted.get(m) <= a[i]) {
                    l = m;
                } else {
                    r = m;
                }
            }
            compress[i] = l + 1;
        }
        return compress;
    }

    /**
     * destructive methods
     */

    public static void swap(int[] a, int u, int v) {
        int tmp = a[u];
        a[u] = a[v];
        a[v] = tmp;
    }

    public static void swap(long[] a, int u, int v) {
        long tmp = a[u];
        a[u] = a[v];
        a[v] = tmp;
    }

    public static void reverse(int[] a, int begin, int end) {
        for (int i = begin; i < begin + (end - begin) / 2; i++) {
            swap(a, i, begin + end - i - 1);
        }
    }

    public static void reverse(int[] a) {
        reverse(a, 0, a.length);
    }

    public static void reverse(long[] a, int begin, int end) {
        for (int i = begin; i < begin + (end - begin) / 2; i++) {
            swap(a, i, begin + end - i - 1);
        }
    }

    public static void reverse(long[] a) {
        reverse(a, 0, a.length);
    }

    public static void revSort(int[] a) {
        Arrays.sort(a);
        reverse(a);
    }

    public static void revSort(long[] a) {
        Arrays.sort(a);
        reverse(a);
    }

    public static void sort(int[][] a, int sortIndex) {
        Arrays.sort(a, (u, v) -> u[sortIndex] - v[sortIndex]);
    }

    public static void sort(int[][] a) {
        sort(a, 0);
    }

    public static void sort(long[][] a, int sortIndex) {
        Arrays.sort(a, (u, v) -> Long.compare(u[sortIndex], v[sortIndex]));
    }

    public static void sort(long[][] a) {
        sort(a, 0);
    }

    public static void revSort(int[][] a, int sortIndex) {
        Arrays.sort(a, (u, v) -> v[sortIndex] - u[sortIndex]);
    }

    public static void revSort(int[][] a) {
        revSort(a, 0);
    }

    public static void revSort(long[][] a, int sortIndex) {
        Arrays.sort(a, (u, v) -> Long.compare(v[sortIndex], u[sortIndex]));
    }

    public static void revSort(long[][] a) {
        revSort(a, 0);
    }

    /**
     * permutation
     */

    public static int[] nextPermutation(int[] a) {
        int[] ret = a.clone();
        int n = ret.length;
        for (int i = n - 1; i >= 1; i--) {
            if (ret[i] > ret[i - 1]) {
                int fail = n, pass = i;
                while (fail - pass > 1) {
                    int mid = pass + (fail - pass) / 2;
                    if (ret[mid] > ret[i - 1]) {
                        pass = mid;
                    } else {
                        fail = mid;
                    }
                }
                swap(ret, pass, i - 1);
                reverse(ret, i, n);
                return ret;
            }
        }
        return null;
    }

    public static int[] predPermutation(int[] a) {
        int[] ret = a.clone();
        int n = ret.length;
        for (int i = n - 1; i >= 1; i--) {
            if (ret[i] < ret[i - 1]) {
                int fail = n, pass = i;
                while (fail - pass > 1) {
                    int mid = pass + (fail - pass) / 2;
                    if (ret[mid] < ret[i - 1]) {
                        pass = mid;
                    } else {
                        fail = mid;
                    }
                }
                swap(ret, pass, i - 1);
                reverse(ret, i, n);
                return ret;
            }
        }
        return null;
    }

    /**
     * 
     */

    public static int[] map(UnaryOperator<Integer> op, int[] a) {
        int[] b = new int[a.length];
        for (int i = 0; i < a.length; i++) {
            b[i] = op.apply(a[i]);
        }
        return b;
    }

    public static long[] map(UnaryOperator<Long> op, long[] a) {
        long[] b = new long[a.length];
        for (int i = 0; i < a.length; i++) {
            b[i] = op.apply(a[i]);
        }
        return b;
    }

    public static <T> T[] map(UnaryOperator<T> op, T[] a) {
        @SuppressWarnings("unchecked")
        T[] b = (T[]) new Object[a.length];
        for (int i = 0; i < a.length; i++) {
            b[i] = op.apply(a[i]);
        }
        return b;
    }

    public static int[][] transpose(int[][] a) {
        int n = a.length;
        int m = a[0].length;
        int[][] ret = new int[m][n];
        for (int j = 0; j < m; j++) {
            for (int i = 0; i < n; i++) {
                ret[j][i] = a[i][j];
            }
        }
        return ret;
    }

    public static long[][] transpose(long[][] a) {
        int n = a.length;
        int m = a[0].length;
        long[][] ret = new long[m][n];
        for (int j = 0; j < m; j++) {
            for (int i = 0; i < n; i++) {
                ret[j][i] = a[i][j];
            }
        }
        return ret;
    }

    /**
     * comparation
     */

    public static int compare(int[] a, int[] b) {
        for (int i = 0; i < a.length; i++) {
            if (i >= b.length) {
                return -1;
            } else if (a[i] > b[i]) {
                return 1;
            } else if (a[i] < b[i]) {
                return -1;
            }
        }
        if (a.length < b.length) {
            return 1;
        } else {
            return 0;
        }
    }

    public static int compare(long[] a, long[] b) {
        for (int i = 0; i < a.length; i++) {
            if (i >= b.length) {
                return -1;
            } else if (a[i] > b[i]) {
                return 1;
            } else if (a[i] < b[i]) {
                return -1;
            }
        }
        if (a.length < b.length) {
            return 1;
        } else {
            return 0;
        }
    }

    public static boolean equals(int[] a, int[] b) {
        return compare(a, b) == 0;
    }

    public static boolean equals(long[] a, long[] b) {
        return compare(a, b) == 0;
    }

    /**
     * initialize methods
     */

    public static int[] filledArray(int init, int n) {
        int[] ret = new int[n];
        Arrays.fill(ret, init);
        return ret;
    }

    public static int[][] filledArray(int init, int n, int m) {
        int[][] ret = new int[n][m];
        for (int i = 0; i < n; i++) {
            Arrays.fill(ret[i], init);
        }
        return ret;
    }

    public static long[] filledArray(long init, int n) {
        long[] ret = new long[n];
        Arrays.fill(ret, init);
        return ret;
    }

    public static long[][] filledArray(long init, int n, int m) {
        long[][] ret = new long[n][m];
        for (int i = 0; i < n; i++) {
            Arrays.fill(ret[i], init);
        }
        return ret;
    }
}


Compiler output:
Main.java:12: error: package lib does not exist
import lib.MathUtil;
          ^
Main.java:28: error: cannot find symbol
        int b1 = MathUtil.ceilExponent(n + 1);
                 ^
  symbol:   variable MathUtil
  location: class Main
Main.java:41: error: cannot find symbol
        int bm = MathUtil.ceilExponent(m);
                 ^
  symbol:   variable MathUtil
  location: class Main
3 errors