#include <bits/stdc++.h>
using namespace std;

const long long MOD = 119<<23|1;

long long final_dp[1<<24];
long long possible_after[1<<24];
long long complement_after[1<<24];

long long ALL_MASK;

int n, m;
int a, b, c;

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin >> n >> m;

    ALL_MASK = (1 << n) - 1;

    for (int i = 0; i <= ALL_MASK; ++i) {
        possible_after[i] = ALL_MASK ^ i;
        complement_after[i] = ALL_MASK;
    }

    for (int i = 0; i < m; ++i) {
        cin >> a >> b >> c;
        --a; --b; --c;

        long long set_mask = (1 << a) | (1 << c);
        long long possible_mask = ALL_MASK ^ (1 << b);

        possible_after[set_mask] &= possible_mask;
        complement_after[set_mask] &= possible_mask;
    }

    for (int i = 0; i < n; ++i) {
        for (int mask = 0; mask < (1 << n); ++mask) {
            if (mask & (1 << i)) {
                possible_after[mask] &= possible_after[mask ^ (1 << i)];
                complement_after[mask] &= complement_after[mask ^ (1 << i)];
            }
        }
    }

    final_dp[0] = 1;

    for (int mask = 0; mask < (1 << n); ++mask) {
        for (int i = 0; i < n; ++i) {
            if ((mask & (1 << i)) && (possible_after[mask ^ (1 << i)] & (1 << i)) && (complement_after[ALL_MASK ^ mask] & (1 << i))) {
                final_dp[mask] = final_dp[mask] + final_dp[mask ^ (1 << i)] % MOD;
            }
        }
    }

    cout << final_dp[ALL_MASK];

    return 0;
}