uses
  Math;
var
  a:Array[1..202] of Int64;
  b:Array[1..202] of Longint;
  p:Array[1..101] of Int64;
  k:Array[1..101] of Longint;
  c:Array[1..101] of Longint;
  aa:Array[0..1000002] of Longint;
procedure QuickSort(iLow, iHigh : Integer);
var
  iLo, iHi : Integer;
  x, Temp : Int64;
begin
  iLo := iLow;
  iHi := iHigh;
  X := a[(iLow + iHigh) div 2];
  repeat
    while a[iLo] < X do Inc(iLo);
    while a[iHi] > X do Dec(iHi);
    if (iLo <= iHi) then
    begin
      Temp := a[iLo];
      a[iLo] := a[iHi];
      a[iHi] := Temp;
      Temp := b[iLo];
      b[iLo] := b[iHi];
      b[iHi] := Temp;
      Inc(iLo);
      Dec(iHi);
    end;
  until iLo > iHi;
  if (iHi > iLow) then QuickSort(iLow, iHi);
  if (iLo < iHigh) then QuickSort(iLo, iHigh);
end;
var
  i, ii, j, m, n, t, u, v, mi, pi, ki, d, pn: Longint;
  w: Int64;
  dalej: boolean;
begin
  Read(n, m);
  if m >= n then
  begin
    Writeln('TAK');
    Exit;
  end;
  for i:=1 to n do
    Read(p[i], k[i], c[i]);
  pn := 1;
  repeat
    j := 0;
    dalej := true;
    for i:=pn to n do
    begin
      Inc(j);
      a[j] := (p[i] shl 1) or 1;
      b[j] := i;
      Inc(j);
      a[j] := (k[i] shl 1);
      b[j] := i;
    end;
    a[j+1] := 1000001 shl 20;
    QuickSort(1, j);
    v := 0;
    mi := 0;
    for ii:=1 to j do
    begin
      if (a[ii] and 1) = 1 then
      begin
        d := (a[ii] shr 1);
        if mi = m then
          for i:=pn to n do
          begin
            if p[i] <= v then
            begin
              if (k[i] >= d) then
              begin
                Dec(c[i], d - v);
              end
              else
              begin
                if (k[i] > v) then
                begin
                  Dec(c[i], k[i] - v);
                  k[i] := d;
                end
                else
                  Inc(k[i], d - v);
              end;
              Inc(p[i], d - v);
            end
            else
            begin
              if p[i] < d then
              begin
                if (k[i] >= d) then
                begin
                  Dec(c[i], d - p[i]);
                end
                else
                begin
                  Dec(c[i], k[i] - p[i]);
                  k[i] := d;
                end;
                p[i] := d;
              end;
            end;
          end;
        Inc(mi);
      end
      else
      begin
        Dec(mi);
        if mi = m then
          v := a[ii] shr 1;
      end;
    end;
    for i:=pn to n do
    begin
      if (k[i] > v) then
      begin
        Dec(c[i], k[i] - Max(p[i], v));
        k[i] := v;
      end;
      if (c[i] <= 0) then
      begin
        dalej := false;
        if (i > pn) then
        begin
          t := p[i];
          p[i] := p[pn];
          p[pn] := t;
          t := k[i];
          k[i] := k[pn];
          k[pn] := t;
          t := c[i];
          c[i] := c[pn];
          c[pn] := t;
        end;
        Inc(pn);
      end;
    end;
  until dalej or (pn > n);
  if pn > n then
  begin
    Writeln('TAK');
    Exit;
  end;
  j := 0;
  for i:=pn to n do
  begin
    Inc(j);
    Inc(aa[p[i]]);
    a[j] := (p[i] shl  20) or (k[i]-p[i]-c[i]);
    b[j] := i;
  end;
  a[j+1] := 1000001 shl 20;
  QuickSort(1, j);
  i := 1;
  repeat
    pi := a[i] shr 20;
    t := aa[pi];
    ki := a[i+t] shr 20;
    u := aa[ki];
    v := ki - pi;
    mi := 0;
    w := v;
    for ii:=i to i+t-1 do
    begin
      if w > c[b[ii]] then
         w := c[b[ii]];
      if ii-i = m then
      begin
        if w > (a[ii] and 1048575) - (a[ii-1] and 1048575) then
          w := (a[ii] and 1048575) - (a[ii-1] and 1048575);
        if w = 0 then
          w := 1;
        if (a[ii] and 1048575) < w then
        begin
          Writeln('NIE');
          Exit;
        end
        else
          break;
      end;
    end;
    for ii:=i to i+t-1 do
    begin
      Inc(a[ii], w shl 20);
      if ii-i < m then
      begin
        if (c[b[ii]] = w) then
        begin
          a[ii] := 0;
          Inc(mi);
        end
        else
        begin
          Dec(c[b[ii]], w);
        end;
      end
      else
      begin
        if (a[ii] and 1048575) < w then
        begin
          Writeln('NIE');
          Exit;
        end;
        Dec(a[ii], w);
      end;
    end;
    Inc(aa[pi + w], t-mi);
    if (w < v) then
      QuickSort(i, i+t-1)
    else
      QuickSort(i, i+t+u-1);
    Inc(i, mi);
  until i>j;
  Writeln('TAK');
end.
        | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 | uses Math; var a:Array[1..202] of Int64; b:Array[1..202] of Longint; p:Array[1..101] of Int64; k:Array[1..101] of Longint; c:Array[1..101] of Longint; aa:Array[0..1000002] of Longint; procedure QuickSort(iLow, iHigh : Integer); var iLo, iHi : Integer; x, Temp : Int64; begin iLo := iLow; iHi := iHigh; X := a[(iLow + iHigh) div 2]; repeat while a[iLo] < X do Inc(iLo); while a[iHi] > X do Dec(iHi); if (iLo <= iHi) then begin Temp := a[iLo]; a[iLo] := a[iHi]; a[iHi] := Temp; Temp := b[iLo]; b[iLo] := b[iHi]; b[iHi] := Temp; Inc(iLo); Dec(iHi); end; until iLo > iHi; if (iHi > iLow) then QuickSort(iLow, iHi); if (iLo < iHigh) then QuickSort(iLo, iHigh); end; var i, ii, j, m, n, t, u, v, mi, pi, ki, d, pn: Longint; w: Int64; dalej: boolean; begin Read(n, m); if m >= n then begin Writeln('TAK'); Exit; end; for i:=1 to n do Read(p[i], k[i], c[i]); pn := 1; repeat j := 0; dalej := true; for i:=pn to n do begin Inc(j); a[j] := (p[i] shl 1) or 1; b[j] := i; Inc(j); a[j] := (k[i] shl 1); b[j] := i; end; a[j+1] := 1000001 shl 20; QuickSort(1, j); v := 0; mi := 0; for ii:=1 to j do begin if (a[ii] and 1) = 1 then begin d := (a[ii] shr 1); if mi = m then for i:=pn to n do begin if p[i] <= v then begin if (k[i] >= d) then begin Dec(c[i], d - v); end else begin if (k[i] > v) then begin Dec(c[i], k[i] - v); k[i] := d; end else Inc(k[i], d - v); end; Inc(p[i], d - v); end else begin if p[i] < d then begin if (k[i] >= d) then begin Dec(c[i], d - p[i]); end else begin Dec(c[i], k[i] - p[i]); k[i] := d; end; p[i] := d; end; end; end; Inc(mi); end else begin Dec(mi); if mi = m then v := a[ii] shr 1; end; end; for i:=pn to n do begin if (k[i] > v) then begin Dec(c[i], k[i] - Max(p[i], v)); k[i] := v; end; if (c[i] <= 0) then begin dalej := false; if (i > pn) then begin t := p[i]; p[i] := p[pn]; p[pn] := t; t := k[i]; k[i] := k[pn]; k[pn] := t; t := c[i]; c[i] := c[pn]; c[pn] := t; end; Inc(pn); end; end; until dalej or (pn > n); if pn > n then begin Writeln('TAK'); Exit; end; j := 0; for i:=pn to n do begin Inc(j); Inc(aa[p[i]]); a[j] := (p[i] shl 20) or (k[i]-p[i]-c[i]); b[j] := i; end; a[j+1] := 1000001 shl 20; QuickSort(1, j); i := 1; repeat pi := a[i] shr 20; t := aa[pi]; ki := a[i+t] shr 20; u := aa[ki]; v := ki - pi; mi := 0; w := v; for ii:=i to i+t-1 do begin if w > c[b[ii]] then w := c[b[ii]]; if ii-i = m then begin if w > (a[ii] and 1048575) - (a[ii-1] and 1048575) then w := (a[ii] and 1048575) - (a[ii-1] and 1048575); if w = 0 then w := 1; if (a[ii] and 1048575) < w then begin Writeln('NIE'); Exit; end else break; end; end; for ii:=i to i+t-1 do begin Inc(a[ii], w shl 20); if ii-i < m then begin if (c[b[ii]] = w) then begin a[ii] := 0; Inc(mi); end else begin Dec(c[b[ii]], w); end; end else begin if (a[ii] and 1048575) < w then begin Writeln('NIE'); Exit; end; Dec(a[ii], w); end; end; Inc(aa[pi + w], t-mi); if (w < v) then QuickSort(i, i+t-1) else QuickSort(i, i+t+u-1); Inc(i, mi); until i>j; Writeln('TAK'); end. | 
 
            
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