//bubble.cpp
#include<bits/stdc++.h>
class BinaryIndexedTree
{
private:
unsigned int size;
std::vector<unsigned int>tree;
public:
BinaryIndexedTree(unsigned int _size):size(_size){tree.resize(size+1);}
inline void add(unsigned int pos,unsigned int value){if(pos<=size)for(;pos;pos-=pos&-pos)tree[pos]+=value;}
inline unsigned int sum(unsigned int pos){
if(pos>size)return 0;
unsigned int res=0;
for(;pos<=size;pos+=pos&-pos)res+=tree[pos];
return res;
}
};
class SegmentTree
{
private:
unsigned int Left,Right;
struct Node{
int min,add;
unsigned int pos;
};
std::vector<Node>node;
inline void pushup(unsigned int root){
node[root].min=std::min(node[root<<1].min,node[root<<1|1].min);
if(node[root].min==node[root<<1].min)node[root].pos=node[root<<1].pos;
else node[root].pos=node[root<<1|1].pos;
}
inline void build(unsigned int root,unsigned int left,unsigned int right){
if(left==right){node[root].pos=left;return;}
unsigned int mid=(left+right)>>1;
build(root<<1,left,mid),build(root<<1|1,mid+1,right),pushup(root);
}
inline void pushdown(unsigned int root){
if(!node[root].add)return;
node[root<<1].min+=node[root].add,node[root<<1].add+=node[root].add,
node[root<<1|1].min+=node[root].add,node[root<<1|1].add+=node[root].add,
node[root].add=0;
}
inline void modify(unsigned int root,unsigned int left,unsigned int right,unsigned int x,unsigned int y,unsigned int value){
if(x<=left&&right<=y){node[root].min+=value,node[root].add+=value;return;}
pushdown(root);
unsigned int mid=(left+right)>>1;
if(x<=mid)modify(root<<1,left,mid,x,y,value);
if(y>mid)modify(root<<1|1,mid+1,right,x,y,value);
pushup(root);
}
inline void query(unsigned int root,unsigned int left,unsigned int right,unsigned int x,unsigned int y,int&min,unsigned int&pos){
if(x<=left&&right<=y){
if(node[root].min<min)min=node[root].min,pos=node[root].pos;
return;
}
pushdown(root);
unsigned int mid=(left+right)>>1;
if(x<=mid)query(root<<1,left,mid,x,y,min,pos);
if(y>mid)query(root<<1|1,mid+1,right,x,y,min,pos);
}
public:
SegmentTree(unsigned int left,unsigned int right):Left(left),Right(right){if(left<=right)node.resize((right-left+1)<<2),build(1,Left,Right);}
inline void modify(unsigned int left,unsigned int right,unsigned int value){if(left>=Left&&right<=Right&&left<=right)modify(1,Left,Right,left,right,value);}
inline std::pair<int,unsigned int>query(unsigned int left,unsigned int right){
int min=0x7fffffff;
unsigned int pos=0;
query(1,Left,Right,left,right,min,pos);
return std::make_pair(min,pos);
}
};
int main()
{
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr),std::cout.tie(nullptr);
unsigned int T;
for(std::cin>>T;T--;){
unsigned int n,m;
std::cin>>n>>m;
std::vector<unsigned int>L(m),R(m),V(m),sub(m),anc(n+1),left(n),right(n);
for(unsigned int i=0;i<m;++i)std::cin>>L[i]>>R[i]>>V[i],--L[i],--R[i],sub[i]=V[i];
std::sort(sub.begin(),sub.end()),sub.resize(std::unique(sub.begin(),sub.end())-sub.begin());
std::vector<std::vector<std::pair<unsigned int,unsigned int>>>G(sub.size());
for(unsigned int i=0;i<m;++i)G[V[i]=(unsigned int)(std::lower_bound(sub.begin(),sub.end(),V[i])-sub.begin())].emplace_back(L[i],R[i]);
m=(unsigned int)sub.size();
for(unsigned int i=0;i<=n;++i)anc[i]=i;
std::function<unsigned int(unsigned int)>find=[&](unsigned int x)->unsigned int{return x==anc[x]?x:anc[x]=find(anc[x]);};
bool flag=true;
for(unsigned int i=m-1,last;~i&&flag;--i)
if(!G[i].empty()){
std::sort(G[i].begin(),G[i].end(),std::greater<std::pair<unsigned int,unsigned int>>()),last=n;
for(unsigned int j=0,pos;j<G[i].size();++j)
if(G[i][j].second<last)pos=find(G[i][j].first),left[pos]=i+1,flag&=pos<=G[i][j].second,last=pos;
for(const auto&x:G[i])
for(unsigned int j=find(x.first);j<=x.second;j=find(j))right[j]=i+1,anc[j]=j+1;
}
if(!flag){std::cout<<"-1\n";continue;}
BinaryIndexedTree BIT(m+1);
SegmentTree tree(0,m+1);
unsigned long long ans=0;
for(unsigned int i=0;i<n;++i)if(left[i])ans+=BIT.sum(left[i]+1),BIT.add(left[i],1),tree.modify(left[i]+1,m+1,1);
for(unsigned int i=0;i<n;++i)
if(left[i])tree.modify(left[i]+1,m+1,-1),tree.modify(0,left[i]-1,1);
else{
auto res=tree.query(right[i],m+1);
ans+=res.first;
if(res.second)tree.modify(0,res.second-1,1);
}
std::cout<<ans<<'\n';
}
return 0;
}
RE 数据如下
1000
20 20
13 16 0
5 18 0
3 3 1
4 6 1
17 17 1
8 8 1
1 1 1
1 3 0
15 15 1
4 4 1
9 10 0
11 12 0
6 9 0
10 12 0
4 4 1
16 19 0
3 3 1
3 15 0
4 5 1
11 12 0
20 20
5 15 0
2 4 0
4 11 0
17 17 1
12 12 0
3 9 0
2 2 1
17 18 1
17 17 1
18 18 1
5 11 0
13 13 1
1 1 0
11 11 1
5 7 0
8 8 1
10 13 0
20 20 1
12 14 0
17 18 1
20 20
20 20 0
15 18 0
15 17 1
6 8 1
15 18 0
3 12 0
4 6 1
5 5 1
18 20 0
18 18 0
4 4 1
11 14 0
12 12 1
12 12 1
14 19 0
4 5 1
17 18 0
7 10 1
1 3 0
5 7 1
20 20
5 8 1
5 15 0
12 13 0
16 17 1
4 6 1
17 18 1
10 10 0
11 11 0
12 12 1
5 7 1
14 14 0
3 4 1
11 14 0
3 18 0
5 9 0
1 3 0
12 12 1
12 12 1
1 5 0
2 5 1
20 20
2 4 0
5 5 0
14 18 0
13 13 1
9 9 0
6 6 1
5 7 0
13 14 1
11 11 1
9 10 0
1 2 0
15 15 1
10 15 0
19 19 1
14 14 1
8 8 0
2 3 1
14 15 1
19 19 1
12 12 0
20 18
20 20 1
7 20 0
7 9 0
9 9 1
8 8 1
4 5 0
4 4 1
1 1 1
1 1 1
20 20 0
7 8 1
14 15 0
8 15 0
5 8 0
1 1 0
15 18 0
4 4 0
5 8 1
20 20
4 7 1
13 14 0
4 7 1
15 19 0
16 17 1
4 6 1
4 7 1
8 8 1
12 13 0
3 5 1
16 17 1
1 17 0
16 17 1
2 10 0
10 11 0
4 20 0
7 9 0
1 4 0
11 12 0
3 3 1
20 20
16 16 1
3 3 0
3 3 0
9 10 1
9 9 1
5 6 0
10 18 0
9 10 1
20 20 1
6 6 0
1 2 0
9 9 1
5 5 0
9 10 1
13 14 1
20 20 1
6 7 0
4 4 0
1 1 0
9 9 1
20 20
14 14 0
18 18 1
8 10 0
11 14 0
4 4 1
2 4 0
12 15 0
7 8 1
6 7 1
1 2 1
10 10 1
11 16 0
7 8 1
6 6 1
6 6 1
14 15 0
4 6 0
15 17 0
15 16 0
10 10 1
50 50
30 30 1
42 42 1
15 16 1
29 30 1
7 8 0
48 48 1
20 20 1
28 28 1
3 6 0
13 35 0
28 30 1
37 37 1
10 33 0
33 33 1
21 23 0
7 37 0
9 9 0
24 25 0
37 42 0
30 30 1
28 29 1
2 2 0
47 49 0
12 17 0
15 15 1
9 10 0
29 30 1
28 30 1
41 42 1
12 19 0
30 30 1
16 35 0
45 46 1
44 45 0
4 7 0
20 20 1
6 6 1
27 27 0
19 22 0
28 28 1
28 30 1
28 30 1
42 44 0
24 26 0
27 28 0
3 3 0
12 18 0
22 22 1
31 38 0
29 29 1
20 17
3 4 1
3 4 0
4 7 1
16 16 1
4 8 0
3 6 0
16 16 1
12 12 1
6 8 1
3 6 1
17 19 0
20 20 1
16 16 0
12 12 0
14 20 0
10 19 0
20 20 0
20 18
11 14 1
2 3 1
9 12 0
12 13 0
10 12 0
3 5 1
19 19 1
2 5 0
13 14 1
9 11 1
15 20 0
19 19 0
19 19 0
19 19 1
12 15 1
8 8 0
11 15 0
1 10 0
20 20
14 14 1
6 12 0
1 1 0
5 7 1
8 13 0
16 17 1
9 11 0
11 11 1
12 14 0
4 4 1
3 9 0
6 6 1
4 6 1
10 13 0
1 2 0
16 16 1
19 19 1
2 8 0
2 4 0
4 4 1
20 20
3 4 0
11 12 1
14 16 0
11 11 1
19 20 0
11 12 1
8 9 0
17 17 1
14 17 0
11 12 1
14 14 1
14 14 1
7 7 0
11 11 1
1 2 0
10 11 0
4 6 0
11 11 1
4 13 0
11 12 1
20 17
7 11 0
18 18 0
6 10 1
20 20 0
3 10 0
3 7 1
9 10 0
13 14 1
9 11 1
18 18 1
13 15 0
5 8 1
13 14 0
16 19 0
4 4 1
20 20 1
10 13 0
20 20
15 19 1
6 7 0
7 9 0
16 18 1
14 20 0
9 10 1
2 2 0
1 1 0
15 17 1
4 5 1
17 19 1
9 10 1
2 5 0
15 19 1
11 17 0
17 20 0
4 4 1
13 14 0
10 11 0
18 19 1
20 20
12 12 1
7 7 1
12 12 1
19 20 0
2 5 1
6 8 1
17 19 0
7 19 0
15 15 1
2 17 0
6 7 1
19 20 0
1 3 0
10 13 0
15 15 1
15 15 1
14 18 0
3 5 1
1 19 0
14 14 0
20 20
7 16 0
15 16 0
13 14 1
18 19 0
9 10 0
16 16 0
2 2 1
13 13 1
3 3 0
6 6 1
11 11 1
1 2 0
5 8 0
17 17 1
13 14 1
4 4 1
14 14 1
13 14 1
10 13 0
5 6 0
20 18
12 13 0
5 6 0
15 19 0
6 6 0
4 4 0
6 6 1
9 10 1
8 17 0
9 10 0
4 4 1
15 15 0
17 18 1
13 16 1
2 3 0
14 18 1
13 15 0
17 19 1
4 4 1
20 20
13 13 1
19 20 0
10 13 0
6 7 0
16 16 1
6 9 0
16 17 1
11 14 0
17 17 1
4 4 1
3 4 0
11 14 0
4 9 0
5 5 0
8 9 1
16 18 1
1 1 1
17 18 1
16 17 1
2 2 0
20 17
19 20 1
17 17 0
10 11 1
14 14 1
3 3 1
8 16 0
3 4 0
4 6 1
6 14 0
6 7 1
17 17 1
5 8 1
10 11 0
5 7 0
4 8 0
14 14 0
9 16 0
20 17
6 7 0
1 1 0
8 10 1
7 10 0
12 13 1
6 7 1
12 15 0
13 19 0
6 8 1
14 16 0
3 19 0
9 9 0
6 11 0
7 9 1
13 16 1
1 1 1
1 1 1
20 20
6 7 0
17 17 1
18 18 1
4 6 0
20 20 0
17 18 1
7 13 0
11 11 1
8 12 0
2 2 1
2 2 1
1 1 0
13 20 0
3 4 0
14 20 0
9 9 1
11 11 1
2 3 0
17 18 1
18 18 1
20 20
9 17 0
20 20 0
13 14 1
3 3 1
3 4 1
3 3 1
12 15 1
9 10 1
6 6 1
13 14 1
9 17 0
6 7 0
4 6 0
10 13 1
15 15 1
9 16 0
15 18 0
2 3 0
8 8 0
1 1 0
20 18
3 6 1
4 5 0
5 5 0
7 8 1
6 13 0
5 7 1
5 7 1
11 11 1
19 19 0
11 11 1
2 5 0
6 8 0
5 5 1
15 17 0
2 6 0
3 5 0
11 11 0
19 19 1
20 20
6 15 0
1 16 0
1 1 1
7 9 1
1 1 1
16 16 0
6 11 1
20 20 0
18 18 0
17 17 1
18 20 0
5 9 1
17 17 1
3 5 1
18 19 0
1 1 1
5 12 0
4 7 1
13 13 0
17 19 0
20 20
13 15 1
4 18 0
4 10 0
19 20 1
13 15 1
9 19 0
3 10 0
15 17 1
7 7 1
3 13 0
2 12 0
5 17 0
5 5 1
4 12 0
12 15 1
4 5 1
14 17 1
1 2 1
10 20 0
11 15 0
20 20
6 7 0
9 11 0
1 2 1
10 10 1
9 9 0
3 17 0
18 18 1
1 2 1
1 3 0
1 2 1
18 18 1
11 19 0
10 10 1
4 6 0
7 17 0
4 5 0
1 2 1
1 1 1
5 14 0
2 2 1
20 17
17 18 0
6 10 1
17 18 0
13 15 0
2 2 1
11 14 1
17 18 1
11 13 1
2 2 1
14 15 0
1 15 0
2 2 0
6 11 0
13 15 0
9 12 1
6 14 0
11 15 1
50 50
38 43 0
4 5 1
25 25 1
4 5 1
19 39 0
5 6 1
18 19 0
10 11 1
21 32 0
36 38 0
2 5 0
18 27 0
23 23 1
4 8 0
31 31 1
4 7 1
42 42 1
19 19 1
5 7 1
18 22 0
12 12 0
21 26 0
16 17 0
4 6 1
8 11 0
6 7 1
6 6 1
24 26 0
28 34 0
19 22 0
44 47 1
9 49 0
5 42 0
33 33 1
25 25 1
13 16 0
28 50 0
6 7 1
4 5 1
14 37 0
15 15 1
13 13 0
1 1 1
5 7 1
26 28 0
23 25 0
10 11 1
5 7 1
33 35 0
25 25 1
20 20
1 1 1
20 20 1
4 6 0
8 8 0
1 1 1
1 2 0
13 13 1
1 1 1
6 8 0
6 7 0
14 19 0
5 5 1
13 17 0
3 3 0
1 1 1
6 17 0
14 14 0
1 1 1
1 1 1
5 5 1
20 20
7 13 0
20 20 0
17 20 0
13 14 0
3 3 1
1 4 0
16 17 1
2 3 1
1 1 0
16 17 1
3 5 1
3 5 1
5 12 0
5 6 1
15 19 0
10 20 0
3 18 0
2 4 1
9 10 1
2 3 1
50 50
14 50 0
46 49 0
5 6 1
10 11 1
10 10 1
34 34 1
8 8 1
36 49 0
10 40 0
24 24 1
41 47 0
11 12 1
1 1 1
10 12 1
5 6 1
23 24 0
23 27 0
11 11 1
11 12 1
15 16 0
8 43 0
28 28 0
9 10 0
45 47 0
11 12 1
2 3 0
28 29 0
10 10 1
14 14 0
19 19 0
42 43 1
16 16 1
19 36 0
36 37 1
10 11 1
50 50 1
18 18 0
30 30 1
19 20 0
2 5 0
11 11 1
6 7 0
10 12 1
3 3 1
10 10 1
13 39 0
50 50 1
21 22 0
20 21 0
17 17 0
20 20
1 3 0
7 8 0
16 17 1
10 17 0
1 2 0
7 7 1
10 11 1
9 17 0
18 18 1
20 20 1
13 14 1
10 18 0
17 18 1
4 5 0
2 3 1
6 7 0
16 18 1
4 4 0
16 16 1
9 14 0
20 17
8 8 1
1 1 1
10 12 0
3 3 0
14 16 1
8 8 0
11 11 1
15 15 0
11 11 0
16 16 1
14 15 0
16 18 1
8 8 1
5 5 0
1 1 0
15 18 0
15 17 1
20 20
3 6 1
3 5 1
1 2 0
11 12 1
5 7 1
6 7 1
9 20 0
6 8 1
16 17 0
1 13 0
15 17 0
16 16 0
3 17 0
9 20 0
11 12 1
7 8 1
14 14 1
3 7 1
19 20 0
15 15 0
50 50
25 25 0
19 20 1
27 29 0
16 17 0
50 50 1
23 48 0
43 43 1
48 50 1
50 50 1
2 2 1
27 27 1
48 50 1
13 16 0
36 36 1
18 19 0
11 11 0
4 4 0
49 49 1
22 23 0
41 41 1
49 50 1
19 19 1
21 23 0
11 12 0
2 7 0
1 2 1
36 36 1
25 26 0
23 24 0
44 50 0
8 8 1
50 50 1
27 39 0
30 32 0
48 48 1
45 48 0
49 50 1
49 49 1
43 43 1
27 27 1
25 39 0
8 9 0
12 14 0
48 49 1
1 35 0
48 49 1
10 10 0
43 47 0
6 8 0
23 23 1
20 20
10 10 1
18 18 0
4 4 1
5 17 0
4 4 1
16 19 0
4 4 1
3 7 0
10 11 1
8 19 0
6 7 1
20 20 1
20 20 1
1 2 0
12 16 1
18 20 0
8 12 1
6 19 0
5 18 0
8 17 0
20 18
14 15 1
1 4 1
2 3 1
4 11 0
3 3 1
17 18 0
2 9 0
2 8 0
5 6 0
4 5 1
2 3 1
1 2 0
3 5 0
16 18 1
2 3 0
2 8 0
14 17 0
6 6 1
20 20
16 16 0
19 19 1
13 15 0
11 12 1
2 20 0
6 6 1
7 7 1
6 7 1
1 3 0
6 7 1
8 17 0
9 9 0
3 8 0
7 7 1
6 7 1
12 16 0
16 17 0
11 12 1
9 14 0
14 14 1
20 20
1 2 1
7 7 0
2 20 0
16 16 1
1 1 1
6 13 0
5 7 0
10 11 0
1 2 1
18 18 1
1 2 1
4 6 0
8 8 1
9 9 0
1 2 1
8 8 1
3 8 0
1 3 0
13 13 1
10 13 0
20 20
18 20 0
15 16 1
12 12 1
17 20 0
15 15 1
17 17 0
19 20 0
1 7 0
4 4 1
19 19 1
10 19 0
19 20 0
16 16 1
15 20 0
3 10 0
10 10 1
16 16 1
15 16 1
2 2 1
8 15 0
20 20
12 16 0
1 14 0
2 7 0
13 14 1
7 7 0
8 10 0
14 15 0
15 18 0
4 6 1
15 17 0
10 12 1
10 12 1
2 3 1
17 18 0
18 19 0
11 14 1
3 5 1
9 11 1
11 13 1
9 10 1
20 20
13 14 1
15 17 0
8 9 1
16 18 1
9 19 0
20 20 1
11 11 1
10 13 0
13 19 0
2 6 1
1 13 0
1 9 0
1 4 1
1 1 1
9 10 0
10 14 0
4 9 0
2 4 1
2 6 1
15 17 0
20 20
11 11 1
16 16 1
8 16 0
6 9 1
20 20 0
6 6 1
3 4 1
6 8 1
2 2 0
11 11 1
15 18 0
5 6 1
13 14 1
11 11 1
12 20 0
17 18 0
10 10 0
12 13 0
14 15 0
16 17 0
20 20
5 6 0
5 5 0
15 16 1
2 18 0
1 1 0
16 16 1
1 2 0
16 17 1
3 4 0
15 17 1
7 7 1
7 7 1
7 7 1
15 15 1
2 15 0
17 17 1
17 17 1
18 19 0
4 7 0
8 9 0
20 20
5 6 0
1 4 0
14 16 1
8 9 1
7 11 0
3 3 1
10 18 0
8 9 1
8 8 1
16 17 1
4 12 0
14 15 1
8 18 0
11 12 1
2 10 0
15 16 1
3 5 0
14 16 1
6 8 0
5 5 0
20 17
13 13 1
12 19 0
1 18 0
13 13 1
6 6 0
9 10 0
15 19 0
10 10 1
6 10 1
9 10 1
13 13 0
7 9 0
1 13 0
8 10 0
15 19 1
6 7 1
8 9 1
50 50
8 8 1
41 48 0
5 5 0
26 28 1
17 23 1
33 42 0
43 44 0
45 45 0
43 43 0
46 46 0
13 30 0
4 4 1
39 49 0
38 38 0
10 11 0
17 19 1
30 32 1
4 4 1
28 28 1
36 43 0
18 25 1
16 25 1
28 48 0
32 35 1
7 7 0
40 42 0
4 49 0
8 8 1
27 30 1
7 9 0
17 31 1
31 33 1
21 37 0
18 44 0
22 27 1
34 34 1
2 3 0
17 23 1
22 30 1
33 33 1
4 4 1
48 50 0
8 8 1
38 39 0
39 41 0
31 33 1
19 34 1
1 2 0
11 12 0
8 8 1
20 20
12 15 1
8 10 1
6 6 0
20 20 1
14 18 0
12 17 0
1 1 1
20 20 1
9 13 1
8 20 0
7 13 0
2 4 0
2 2 0
12 19 0
4 5 0
2 8 0
9 10 1
8 8 1
11 14 1
10 12 1
20 20
15 18 0
3 4 1
6 18 0
13 13 1
3 4 1
6 6 1
9 13 0
11 11 1
3 3 1
14 16 0
3 3 1
1 5 0
11 17 0
14 17 0
3 3 1
12 15 0
4 4 1
6 9 0
17 18 0
8 8 1
20 20
6 20 0
9 10 0
19 20 1
19 20 1
12 12 1
9 9 0
3 4 0
5 7 0
1 1 1
17 19 0
1 1 1
12 12 1
8 8 0
20 20 1
2 3 0
1 17 0
20 20 1
20 20 1
13 15 0
5 5 1
100 100
15 16 0
41 49 1
87 87 1
19 19 1
29 64 0
47 55 1
8 9 0
76 76 1
48 77 0
97 99 1
40 49 1
42 53 1
38 40 1
36 52 1
87 87 1
7 8 0
61 63 1
15 15 0
86 91 0
19 19 1
66 85 0
18 18 0
72 72 0
24 92 0
78 81 0
35 45 1
51 60 1
11 12 0
41 55 1
82 95 0
59 61 1
93 94 1
1 4 0
55 56 1
83 100 0
5 6 0
34 38 1
29 29 1
63 66 0
57 57 1
87 88 1
65 68 0
70 70 1
70 70 1
25 25 0
73 75 0
20 21 0
17 17 0
28 35 0
68 69 0
37 37 1
33 35 1
12 13 0
70 70 1
13 14 0
8 8 1
76 76 1
91 91 1
59 98 0
3 39 0
26 27 0
53 58 1
66 66 1
11 87 0
70 71 0
58 58 1
78 83 0
74 84 0
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20