#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("inline") #include using namespace std; template struct cLtraits_identity{ using type = T; } ; template using cLtraits_try_make_signed = typename conditional< is_integral::value, make_signed, cLtraits_identity >::type; template struct cLtraits_common_type{ using tS = typename cLtraits_try_make_signed::type; using tT = typename cLtraits_try_make_signed::type; using type = typename common_type::type; } ; void*wmem; char memarr[96000000]; template inline auto min_L(S a, T b) -> typename cLtraits_common_type::type{ return (typename cLtraits_common_type::type) a <= (typename cLtraits_common_type::type) b ? a : b; } template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } template inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){ walloc1d(arr, x2-x1, mem); (*arr) -= x1; } template void sortA_L(int N, T1 a[], T2 b[], void *mem = wmem){ int i; pair*arr; walloc1d(&arr, N, &mem); for(i=(0);i<(N);i++){ arr[i].first = a[i]; arr[i].second = b[i]; } sort(arr, arr+N); for(i=(0);i<(N);i++){ a[i] = arr[i].first; b[i] = arr[i].second; } } template void sortA_L(int N, T1 a[], T2 b[], T3 c[], void *mem = wmem){ int i; pair >*arr; walloc1d(&arr, N, &mem); for(i=(0);i<(N);i++){ arr[i].first = a[i]; arr[i].second.first = b[i]; arr[i].second.second = c[i]; } sort(arr, arr+N); for(i=(0);i<(N);i++){ a[i] = arr[i].first; b[i] = arr[i].second.first; c[i] = arr[i].second.second; } } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar_unlocked(c[i]); } } template struct segtree{ int N; int logN; T*sum; T*mn; int*mnind; T*fixval; char*fixed; T*addval; void malloc(int maxN, int once = 0){ int i; for(i=1;i 1){ fixed[a*2] = fixed[a*2+1] = 1; fixval[a*2] = fixval[a*2+1] = fixval[a]; sum[a*2] = sum[a*2+1] = sz * fixval[a]; mn[a*2] = mn[a*2+1] = fixval[a]; mnind[a*2] = st; mnind[a*2+1] = st + sz; } else{ sum[a*2] = sum[a*2+1] = sz * fixval[a]; mn[a*2] = mn[a*2+1] = fixval[a]; mnind[a*2] = st; mnind[a*2+1] = st + sz; } fixed[a] = 0; addval[a] = 0; return; } if(addval[a] != 0){ if(sz > 1){ if(fixed[a*2]){ fixval[a*2] += addval[a]; } else{ addval[a*2] += addval[a]; } if(fixed[a*2+1]){ fixval[a*2+1] += addval[a]; } else{ addval[a*2+1] += addval[a]; } sum[a*2] += sz * addval[a]; sum[a*2+1] += sz * addval[a]; mn[a*2] += addval[a]; mn[a*2+1] += addval[a]; } else{ sum[a*2] += sz * addval[a]; sum[a*2+1] += sz * addval[a]; mn[a*2] += addval[a]; mn[a*2+1] += addval[a]; } addval[a] = 0; return; } } inline void push(int a){ int i; int aa = a - N; int nd; int sz; int st; for(i=logN;i;i--){ nd = a>>i; sz = 1<<(i-1); st = 2 * sz * (aa>>i); push_one(nd, sz, st); } } inline void build(int a){ int sz = 1; int st = a - N; while(a > 1){ if(a%2){ st += sz; } a /= 2; sz *= 2; if(fixed[a]){ sum[a] = sz * fixval[a]; mn[a] = fixval[a]; } else{ sum[a] = sum[a*2] + sum[a*2+1]; if(mn[a*2] <= mn[a*2+1]){ mn[a] = mn[a*2]; mnind[a] = mnind[a*2]; } else{ mn[a] = mn[a*2+1]; mnind[a] = mnind[a*2+1]; } if(addval[a] != 0){ mn[a] += addval[a]; sum[a] += sz * addval[a]; } } } } inline void change(int a, int b, T val){ int sz = 1; int aa; int bb; int st_a = a; int st_b = b; if(a >= b){ return; } aa = (a += N); bb = (b += N); push(a); push(b-1); if(a%2){ sum[a] = mn[a] = val; a++; st_a += sz; } if(b%2){ b--; st_b -= sz; sum[b] = mn[b] = val; } a /= 2; b /= 2; while(a < b){ sz *= 2; if(a%2){ fixed[a]=1; fixval[a]=val; sum[a] = sz * val; mn[a] = val; mnind[a] = st_a; a++; st_a += sz; } if(b%2){ b--; st_b -= sz; fixed[b]=1; fixval[b]=val; sum[b] = sz * val; mn[b] = val; mnind[b] = st_b; } a /= 2; b /= 2; } build(aa); build(bb-1); } inline void add(int a, int b, T val){ int sz = 1; int aa; int bb; if(a >= b){ return; } aa = (a += N); bb = (b += N); push(a); push(b-1); if(a%2){ sum[a] += val; mn[a] += val; a++; } if(b%2){ b--; sum[b] += val; mn[b] += val; } a /= 2; b /= 2; while(a < b){ sz *= 2; if(a%2){ if(fixed[a]){ fixval[a] += val; } else{ addval[a] += val; } sum[a] += sz * val; mn[a] += val; a++; } if(b%2){ b--; if(fixed[b]){ fixval[b] += val; } else{ addval[b] += val; } sum[b] += sz * val; mn[b] += val; } a /= 2; b /= 2; } build(aa); build(bb-1); } inline pair getMin(int a, int b){ pair res; pair tmp; int fga = 0; int fgb = 0; a += N; b += N; push(a); push(b-1); while(a < b){ if(a%2){ if(fga){ res =min_L(res, make_pair(mn[a], mnind[a])); } else{ res = make_pair(mn[a], mnind[a]); fga = 1; } a++; } if(b%2){ b--; if(fgb){ tmp =min_L(make_pair(mn[b], mnind[b]), tmp); } else{ tmp = make_pair(mn[b], mnind[b]); fgb = 1; } } a /= 2; b /= 2; } if(fga==1 && fgb==0){ return res; } if(fga==0 && fgb==1){ return tmp; } if(fga==1 && fgb==1){ res =min_L(res, tmp); return res; } return res; } inline T getMinVal(int a, int b){ T res; T tmp; int fga = 0; int fgb = 0; a += N; b += N; push(a); push(b-1); while(a < b){ if(a%2){ if(fga){ res =min_L(res, mn[a]); } else{ res = mn[a]; fga = 1; } a++; } if(b%2){ b--; if(fgb){ tmp =min_L(mn[b], tmp); } else{ tmp = mn[b]; fgb = 1; } } a /= 2; b /= 2; } if(fga==1 && fgb==0){ return res; } if(fga==0 && fgb==1){ return tmp; } if(fga==1 && fgb==1){ res =min_L(res, tmp); return res; } return res; } inline int getMinInd(int a, int b){ return getMin(a,b).second; } inline T getSum(int a, int b){ T res; T tmp; int fga = 0; int fgb = 0; a += N; b += N; push(a); push(b-1); while(a < b){ if(a%2){ if(fga){ res = res + sum[a]; } else{ res = sum[a]; fga = 1; } a++; } if(b%2){ b--; if(fgb){ tmp = sum[b] + tmp; } else{ tmp = sum[b]; fgb = 1; } } a /= 2; b /= 2; } if(fga==1 && fgb==0){ return res; } if(fga==0 && fgb==1){ return tmp; } if(fga==1 && fgb==1){ res = res + tmp; return res; } return res; } } ; int N; int Q; int L[200000]; int R[200000]; int B[200000]; int A[200000]; segtree t; int main(){ int i; wmem = memarr; rd(N); rd(Q); { int Lj4PdHRW; for(Lj4PdHRW=(0);Lj4PdHRW<(Q);Lj4PdHRW++){ rd(L[Lj4PdHRW]);L[Lj4PdHRW] += (-1); rd(R[Lj4PdHRW]); rd(B[Lj4PdHRW]); } } sortA_L(Q,B,L,R); t.walloc(N,1); t.change(0,N,1000000000); for(i=(0);i<(Q);i++){ t.change(L[i],R[i],B[i]); } for(i=(0);i<(Q);i++){ if(B[i] != t.getMinVal(L[i],R[i])){ wt_L("-1"); wt_L('\n'); return 0; } } for(i=(0);i<(N);i++){ A[i] = t.getMinVal(i,i+1); } { int t_ynMSdg; if(N==0){ wt_L('\n'); } else{ for(t_ynMSdg=(0);t_ynMSdg<(N-1);t_ynMSdg++){ wt_L(A[t_ynMSdg]); wt_L(' '); } wt_L(A[t_ynMSdg]); wt_L('\n'); } } return 0; } // cLay version 20210904-1 // --- original code --- // int N, Q, L[2d5], R[], B[]; // int A[]; // segtree t; // { // rd(N,Q,(L--,R,B)(Q)); // sortA(Q,B,L,R); // t.walloc(N,1); // t.change(0,N,1d9); // rep(i,Q) t.change(L[i],R[i],B[i]); // rep(i,Q) if(B[i] != t.getMinVal(L[i],R[i])) wt("-1"), return 0; // rep(i,N) A[i] = t.getMinVal(i,i+1); // wt(A(N)); // }