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#include <bits/stdc++.h> #define all(vec) vec.begin(),vec.end() #define pb push_back #define EB emplace_back #define EM emplace #define FI first #define SE second #define pct __builtin_popcountll #define ctz __builtin_ctzll #define SZ(a) ((int) a.size()) #define FOR(i, a, b) for (long long i = (a); i <= (b); ++i) #define ROF(i, a, b) for (long long i = (a); i >= (b); --i) #define debug(var) cerr << #var <<":"<<var<<"\n"; #define cend cerr<<"\n-----------\n" #define lson(var) (var<<1) #define rson(var) ((var<<1)+1) #define fsp(x) fixed<<setprecision(x)
using namespace std;
using ll = long long;using ull = unsigned long long; using DB=double;using LD=long double;
using pdd = pair<DB,DB>;using plb = pair<ll,bool>; using pll = pair<ll,ll>;using vll=vector<ll>;using vb=vector<bool>; using vdb = vector<DB>; using tll = tuple<ll,ll,ll>; using vpll = vector<pll>;using vtll = vector<tll>; using arr3 = array<ll,3> ;using arr2 = array<ll,2>; constexpr ll MAXN=(ll)1e6+10,INF=(ll)1e17+9; constexpr ll mod=(ll)1e9+7; constexpr double eps=1e-8;const double pi=acos(-1.0); ll N,M,Q,X,K,T,lT;
inline void __(); signed main() { ios::sync_with_stdio(false); cin.tie(0);cout.tie(0); cin>>lT; while(lT--) __(); return 0; }
inline void __(){ cin>>N>>M; vpll lr; vector<char> S(2*N+5); vll A(2*N+5); bool isN=false; FOR(i,0,M-1){ ll l,r; cin>>l>>r; if(l!=1){ lr.EB(l,r); } if(l==2*N){ isN=true; } } if(isN){ cout<<-1<<"\n"; return; } sort(all(lr),greater<>()); vpll llr; if(!lr.empty()){ ll l=lr[0].FI,r=lr[0].SE; FOR(i,1,SZ(lr)-1){ ll ll=max(l,lr[i].FI),rr=min(r,lr[i].SE); if(ll>rr){ llr.EB(l,r); l=lr[i].FI;r=lr[i].SE; }else{ l=ll; r=rr; } } llr.EB(l,r); } S[1]='(';A[1]=1; FOR(i,0,SZ(llr)-1){ S[llr[i].FI]='('; A[llr[i].FI]=1; } vll Sum(2*N+5); FOR(i,1,2*N){ if(A[i]==0){ A[i]=-1; } Sum[i]=Sum[i-1]+A[i]; } ll N2=2*N; #ifdef LOCAL FOR(i,1,N2){ cerr<<Sum[i]<<" "; } cerr<<"\n"; FOR(i,0,SZ(llr)-1){ debug(llr[i].FI); debug(llr[i].SE); } #endif if(Sum[2*N]>0){ cout<<-1<<"\n"; return; } ll sum=Sum[N2]; FOR(i,1,N2){ if(S[i]!='('){ if(sum<0){ sum+=2; S[i]='('; }else{ S[i]=')'; } } } sum=0; FOR(i,1,N2){ if(S[i]=='('){ sum+=1; }else{ sum-=1; } if(sum<0){ cout<<-1<<"\n"; return; } } FOR(i,1,N2){ cout<<S[i]; } cout<<"\n"; }
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