#include #include const long long mod = 1e9+7; struct Element{ int l,r,t; Element(){} Element(int l,int r,int t):l(l),r(r),t(t){} }; Element a[200005]; Element b[200005]; Element c[200005]; //i: even, i+n+1: odd int p[400005]; int isOne[200005]; int fix[400005]; int seq[200005]; int border[200005]; long long f[200005], prefix[200005]; long long pow2[200005]; int find(int u){ if(p[u]==u) return u; else return p[u] = find(p[u]); } void merge(int x,int y){ p[find(y)] = find(x); } long long cal(int n,int m){ //printf("n = %d, m = %d\n",n,m); for(int i = 0; i <= 2*n+2; i++) p[i] = i, fix[i] = 0; for(int i = 1; i <= m; i++){ int x = c[i].l-1, y = c[i].r; if(c[i].t==1) merge(x,y), merge(x+n+1,y+n+1); else merge(x,y+n+1), merge(x+n+1,y); } int x = find(0), y = find(0+n+1); fix[x] = fix[y] = 1; long long res = 1; for(int i = 1; i <= n; i++){ if(find(i)==find(i+n+1)) res = 0; int x = find(i), y = find(i+n+1); if(!fix[x]){ fix[x] = fix[y] = 1; res = res*2ll%mod; } } //printf("res = %lld\n",res); return res; } long long getPartOne(int n){ std::sort(a+1,a+1+n,[&](Element& u,Element& v){ return u.l=u){ res = M; R = M-1; } else L = M+1; } return res; } int getLast(int u,int n){ int L = 1, R = n; int res = -1; while(L<=R){ int M = (L+R)/2; if(seq[M]<=u){ res = M; L = M+1; } else R = M-1; } return res; } long long power(long long a,long long b){ long long res = 1; while(b){ if(b%2) res = res*a%mod; a = a*a%mod; b /= 2; } return res; } long long inv(long long u){ return power(u,mod-2); } long long getPartTwo(int n,int m){ int size = 0; for(int i = 1; i <= n; i++){ if(!isOne[i]) seq[++size] = i; } pow2[0] = 1; for(int i = 1; i <= size+2; i++) pow2[i] = pow2[i-1]*2ll%mod; for(int i = 1; i <= m; i++){ int l = getFirst(b[i].l,size), r = getLast(b[i].r,size); if(l==-1 || r==-1 || l>r) return 0; else b[i].l = l, b[i].r = r; //printf("l = %d, r = %d\n",b[i].l,b[i].r); } std::sort(b+1,b+1+m,[&](Element& u,Element& v){ return u.r=upper){ long long add = f[0]*pow2[size-0]%mod; res += add; if(res>=mod) res -= mod; } for(int i = 1; i <= size; i++){ f[i] = prefix[i-1]; if(border[i]!=0) f[i] -= prefix[border[i]-1]; //printf("before: %lld\n",f[i]); if(f[i]<0) f[i] += mod; f[i] = f[i]*pow2[i]%mod; prefix[i] = prefix[i-1]+f[i]*inv(pow2[i+1])%mod; if(prefix[i]>=mod) prefix[i] -= mod; if(i>=upper){ long long add = f[i]*pow2[size-i]%mod; res += add; if(res>=mod) res -= mod; } //printf("border[%d] = %d, f[%d] = %lld\n",i,border[i],i,f[i]); } return res; } int main(){ int n,m; scanf("%d%d",&n,&m); int size0 = 0, size1 = 0; for(int i = 1; i <= m; i++){ int l,r,t; scanf("%d%d%d",&l,&r,&t); if(t!=0) a[++size0] = Element(l,r,t); else b[++size1] = Element(l,r,t); } long long part1 = getPartOne(size0); //printf("%lld\n",part1); long long part2 = getPartTwo(n,size1); //printf("%lld\n",part2); printf("%lld\n",part1*part2%mod); return 0; }