#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
void *wmem;
char memarr[96000000];
template<class S, class T> inline S min_L(S a,T b){
  return a<=b?a:b;
}
template<class T> 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<class T1> void sortA_L(int N, T1 a[], void *mem = wmem){
  sort(a, a+N);
}
template<class T1, class T2> void sortA_L(int N, T1 a[], T2 b[], void *mem = wmem){
  int i;
  pair<T1, T2> *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<class T1, class T2, class T3> void sortA_L(int N, T1 a[], T2 b[], T3 c[], void *mem = wmem){
  int i;
  pair<T1, pair<T2, T3> > *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;
  }
}
template<class T1, class T2, class T3, class T4> void sortA_L(int N, T1 a[], T2 b[], T3 c[], T4 d[], void *mem = wmem){
  int i;
  pair<pair<T1, T2>, pair<T3, T4> > *arr;
  walloc1d(&arr, N, &mem);
  for(i=(0);i<(N);i++){
    arr[i].first.first = a[i];
    arr[i].first.second = b[i];
    arr[i].second.first = c[i];
    arr[i].second.second = d[i];
  }
  sort(arr, arr+N);
  for(i=(0);i<(N);i++){
    a[i] = arr[i].first.first;
    b[i] = arr[i].first.second;
    c[i] = arr[i].second.first;
    d[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;
  }
}
inline void rd(long long &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(long long x){
  int s=0;
  int m=0;
  char f[20];
  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<class T> struct segtree_Point_Minval{
  int N;
  int logN;
  T *mn;
  void malloc(int maxN, int once = 0){
    int i;
    for(i=1;i<maxN;i*=2){
      ;
    }
    mn = new T[2*i];
    if(once){
      setN(maxN);
    }
  }
  void walloc(int maxN, int once = 0, void **mem = &wmem){
    int i;
    for(i=1;i<maxN;i*=2){
      ;
    }
    walloc1d(&mn, 2*i, mem);
    if(once){
      setN(maxN);
    }
  }
  void free(void){
    delete [] mn;
  }
  T& operator[](int i){
    return mn[N+i];
  }
  void setN(int n, int zerofill = 1, int dobuild = 1){
    int i;
    for(i=1,logN=0;i<n;i*=2,logN++){
      ;
    }
    N = i;
    if(zerofill){
      for(i=(0);i<(N);i++){
        mn[N+i] = 0;
      }
    }
    if(dobuild){
      build();
    }
  }
  void build(void){
    int i;
    for(i=N-1;i;i--){
      mn[i] =min_L(mn[2*i], mn[2*i+1]);
    }
  }
  inline void build(int a){
    while(a > 1){
      a /= 2;
      mn[a] =min_L(mn[2*a], mn[2*a+1]);
    }
  }
  inline void change(int a, T val){
    mn[a+N] = val;
    build(a+N);
  }
  inline void add(int a, T val){
    mn[a+N] += val;
    build(a+N);
  }
  inline T getMinVal(int a, int b){
    T res;
    T tmp;
    int fga = 0;
    int fgb = 0;
    a += N;
    b += N;
    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;
  }
}
;
int N;
long long A[100000];
long long B[100000];
long long C[100000];
int ind[100000];
int nx[100000];
int val[100000];
int nxind[100000];
long long res[100000];
int main(){
  int i, loop;
  wmem = memarr;
  long long tmp;
  segtree_Point_Minval<long long> t;
  rd(N);
  {
    int Lj4PdHRW;
    for(Lj4PdHRW=(0);Lj4PdHRW<(N);Lj4PdHRW++){
      rd(A[Lj4PdHRW]);
      rd(B[Lj4PdHRW]);
      rd(C[Lj4PdHRW]);
    }
  }
  for(i=(0);i<(N);i++){
    ind[i] = i;
  }
  sortA_L(N,A,B,C,ind);
  for(i=(0);i<(N);i++){
    int xr20shxY;
    int WYIGIcGE;
    int t_ynMSdg;
    xr20shxY = -1;
    WYIGIcGE = N-1;
    while(xr20shxY < WYIGIcGE){
      if((xr20shxY + WYIGIcGE)%2==0){
        t_ynMSdg = (xr20shxY + WYIGIcGE) / 2;
      }
      else{
        t_ynMSdg = (xr20shxY + WYIGIcGE + 1) / 2;
      }
      if(A[t_ynMSdg] <= B[i]-C[i]){
        xr20shxY = t_ynMSdg;
      }
      else{
        WYIGIcGE = t_ynMSdg - 1;
      }
    }
    nx[i] =WYIGIcGE;
  }
  for(i=(0);i<(N);i++){
    if(nx[i]==i){
      nx[i]--;
    }
  }
  for(i=(0);i<(N);i++){
    {
      auto APIVbQlN = (nx[i]);
      auto YREPHmFM = ( i);
      val[i] = APIVbQlN;
      nxind[i] = YREPHmFM;
    }
  }
  sortA_L(N, val, nxind);
  t.walloc(N,1);
  for(loop=(0);loop<(4);loop++){
    int ZIeRIny5;
    for(ZIeRIny5=(0);ZIeRIny5<(N);ZIeRIny5++){
      auto &i = nxind[ZIeRIny5];
      if(nx[i]==-1){
        tmp = B[i];
      }
      else if(nx[i] < i){
        tmp = B[i] - t.getMinVal(0,nx[i]+1);
      }
      else{
        tmp = B[i] -min_L(t.getMinVal(0,i), t.getMinVal(i+1,nx[i]+1));
      }
      if(tmp >= 4611686016279904256LL){
        tmp = 4611686016279904256LL;
      }
      if(res[ind[i]] < tmp){
        if(loop==3){
          tmp = 4611686016279904256LL;
        }
        res[ind[i]] = tmp;
        t.change(i, -tmp);
      }
    }
  }
  for(i=(0);i<(N);i++){
    if(res[i]==4611686016279904256LL){
      wt_L("BAN");
      wt_L('\n');
    }
    else{
      wt_L(res[i]);
      wt_L('\n');
    }
  }
  return 0;
}
// cLay varsion 20200317-1

// --- original code ---
// int N; ll A[1d5], B[1d5], C[1d5];
// int ind[1d5];
// 
// int nx[1d5], val[1d5], nxind[1d5];
// ll res[1d5];
// 
// {
//   ll tmp;
//   segtree_Point_Minval<ll> t;
//   rd(N,(A,B,C)(N));
//   rep(i,N) ind[i] = i;
//   sortA(N,A,B,C,ind);
// 
//   rep(i,N) nx[i] = bsearch_max[int,x,-1,N-1](A[x] <= B[i]-C[i]);
//   rep(i,N) if(nx[i]==i) nx[i]--;
//   rep(i,N) (val[i], nxind[i]) = (nx[i], i);
//   sortA(N, val, nxind);
// 
//   t.walloc(N,1);
//   rep(loop,4) rep[nxind](i,N){
//     if(nx[i]==-1){
//       tmp = B[i];
//     } else if(nx[i] < i){
//       tmp = B[i] - t.getMinVal(0,nx[i]+1);
//     } else {
//       tmp = B[i] - min(t.getMinVal(0,i), t.getMinVal(i+1,nx[i]+1));
//     }
//     if(tmp >= ll_inf) tmp = ll_inf;
//     if(res[ind[i]] < tmp){
//       if(loop==3) tmp = ll_inf;
//       res[ind[i]] = tmp;
//       t.change(i, -tmp);
//     }
//   }
// 
//   rep(i,N) wt(if[res[i]==ll_inf, "BAN", res[i]]);
// }