Test Cases: 463 23,198,4000,614,199,3000,194,558,199,192 614,196,23,614,2000,558,530,198,198,558 530,199,192,189,199,3000,198,189,193,198 4000,198,191,199,198,4000,191,586,586,194 199,614,193,196,198,2000,23,193,192,586 530,198,198,199,2000,196,194,4000,191,193 192,189,3000,530,190,199,558,558,193,25 192,558,558,190,2000,198,194,191,530,194 2000,192,196,194,25,192,530,530,194,196 23,4000,530,558,530,189,196,198,192,199 191,194,25,23,3000,3000,196,194,614,4000 558,558,189,193,198,586,196,530,198,199 558,196,191,189,189,198,25,194,196,4000 614,2000,530,193,199,194,189,194,193,23 190,191,190,558,189,23,194,2000,586,191 4000,191,558,25,193,199,23,25,190,199 3000,193,192,198,2000,614,614,2000,614,2000 586,4000,2000,530,193,198,4000,189,192,586 3000,614,530,190,558,191,614,25,198,193 530,558,3000,558,196,25,558,192,194,196 2000,198,194,190,189,192,530,23,4000,189 191,23,192,530,190,190,3000,23,586,199 198,530,4000,189,530,530,2000,3000,586,23 3000,191,198,530,194,2000,586,530,193,189 189,614,194,189,199,23,190,4000,586,190 23,196,190,194,3000,2000,199,23,194,193 190,2000,614,191,586,25,196,586,25,558 23,558,192,614,2000,191,191,4000,192,191 558,25,586,23,2000,194,586,189,586,530 614,189,190,190,194,586,193,3000,190,198 530,196,189,25,198,192,193,196,2000,25 614,194,194,199,23,193,558,23,2000,530 25,199,2000,189,4000,196,196,192,4000,25 614,192,2000,4000,190,2000,196,196,199,530 25,23,198,558,614,193,198,196,190,194 3000,23,558,25,192,3000,193,193,530,190 25,191,25,586,192,558,194,3000,3000,191 25,4000,558,23,586,198,3000,4000,530,558 4000,2000,193,3000,194,3000,4000,196,192,192 2000,3000,191,530,558,196,558,193,193,199 193,586,199,191,189,586,198,193,3000,586 3000,530,586,2000,199,586,3000,196,558,586 614,558,194,23,3000,189,192,193,586,25 189,189,4000,199,586,193,23,558,530,189 586,191,189,192,530,191,530,586,199,530 4000,194,25,558,558,614,530,2000,2000,530 530,23,191,25,4000,189,586,196,191,614 4000,25,614,25,530,4000,192,586,558,196 586,189,193,25,199,530,614,23,3000,530 194,190,3000,193,586,4000,2000,199,4000,530 3000,199,191,199,189,199,196,199,23,23 586,558,4000,196,23,192,199,194,25,194 199,2000,190,2000,614,198,530,199,614,190 196,194,193,23,586,23,199,614,4000,586 198,192,558,196,191,586,558,198,4000,190 191,189,558,558,3000,192,614,189,189,2000 3000,23,189,586,25,530,199,586,192,4000 25,614,189,23,23,190,194,4000,189,530 193,198,3000,196,191,530,189,614,25,199 2000,194,4000,189,192,194,3000,25,194,558 189,2000,2000,198,198,191,189,190,190,614 3000,190,190,192,586,190,558,194,2000,196 192,190,2000,199,23,4000,23,2000,3000,558 199,194,23,586,614,191,189,23,196,196 23,23,192,190,23,199,2000,614,3000,2000 530,614,191,2000,192,199,189,558,4000,196 190,193,192,199,199,558,192,530,4000,614 199,191,190,190,3000,530,530,196,3000,3000 199,4000,194,193,192,192,586,586,189,23 25,586,199,194,530,193,193,3000,192,586 192,191,196,23,558,2000,198,198,614,196 189,198,614,3000,193,2000,558,3000,558,4000 198,558,23,4000,193,193,586,558,614,198 3000,196,192,193,193,189,191,3000,196,530 192,3000,194,199,614,530,614,199,199,558 2000,25,189,199,2000,614,23,558,25,190 191,196,199,190,586,558,198,558,586,2000 189,189,192,191,192,4000,530,194,198,198 2000,199,530,191,198,2000,2000,4000,190,25 196,530,199,23,189,193,558,586,586,199 198,193,25,3000,192,198,199,23,23,25 189,194,4000,4000,190,199,198,586,193,3000 199,189,25,198,190,25,199,193,191,189 558,23,586,4000,25,192,4000,190,4000,194 4000,190,192,586,194,189,199,198,23,4000 189,196,196,23,192,586,191,2000,191,586 2000,191,190,4000,191,189,23,194,189,586 23,191,193,198,2000,192,558,193,198,614 189,530,3000,614,3000,194,25,190,530,586 199,193,586,189,23,4000,193,25,4000,4000 196,190,2000,3000,614,192,3000,193,4000,191 23,586,199,190,190,192,2000,4000,614,558 193,191,191,614,614,25,190,192,558,25 192,189,614,194,3000,191,3000,558,23,199 193,193,558,586,558,2000,194,192,586,189 530,191,2000,196,586,586,192,23,530,23 194,194,191,196,3000,193,4000,191,198,25 3000,189,2000,23,558,558,199,199,199,192 190,199,199,614,25,191,190,23,25,530 23,2000,191,23,191,192,3000,192,194,530 25,193,614,196,198,199,530,23,199,586 530,530,558,193,2000,586,530,196,25,4000 190,2000,2000,190,192,193,190,198,558,2000 530,198,196,189,194,193,4000,199,3000,586 192,190,558,2000,189,196,2000,189,4000,614 25,199,194,25,196,191,3000,191,191,586 23,614,2000,614,586,530,193,189,193,4000 2000,2000,192,199,3000,196,193,192,199,198 25,586,189,4000,586,196,614,192,23,194 190,191,194,194,198,614,3000,614,530,198 3000,530,192,4000,614,25,4000,23,194,2000 192,199,23,194,191,23,199,25,2000,3000 25,189,2000,558,2000,194,2000,586,23,586 4000,190,586,530,3000,558,194,586,2000,196 4000,4000,191,196,199,2000,586,192,2000,192 196,193,198,4000,193,25,25,4000,3000,23 193,192,614,586,23,25,2000,2000,199,3000 2000,196,558,198,23,23,586,199,3000,198 192,4000,190,192,194,558,189,23,25,193 25,2000,4000,23,193,192,530,191,3000,196 198,193,2000,191,614,199,3000,558,192,192 558,25,189,198,189,2000,189,191,25,192 614,614,198,558,193,196,199,586,530,193 4000,196,4000,4000,192,614,558,193,4000,23 196,196,614,530,614,192,614,198,530,192 3000,586,614,189,198,23,25,23,189,3000 530,586,25,614,530,2000,614,586,4000,190 198,192,586,530,2000,189,23,192,189,191 190,25,194,193,3000,196,23,198,194,3000 191,23,190,193,530,193,614,191,199,191 23,2000,25,189,530,23,558,530,25,194 4000,189,530,614,189,198,196,191,25,3000 586,194,25,190,191,25,192,189,198,190 586,199,190,2000,189,558,586,193,530,558 198,191,3000,196,4000,190,614,193,196,193 189,192,193,192,23,189,586,614,558,190 193,3000,23,190,199,199,199,4000,189,191 558,3000,4000,558,23,2000,192,558,192,614 530,194,193,586,189,194,23,530,199,193 193,25,25,586,199,586,558,614,192,558 198,586,530,2000,558,3000,558,189,199,586 196,2000,189,190,4000,4000,199,3000,193,586 192,198,25,25,23,190,25,530,586,586 199,192,4000,3000,199,4000,25,558,614,193 196,614,25,191,23,558,4000,25,199,614 192,193,191,194,586,614,586,190,199,191 2000,194,586,530,558,586,190,3000,530,614 614,530,192,192,194,2000,25,614,198,194 198,196,3000,192,530,196,4000,190,193,558 193,4000,196,586,198,4000,4000,194,530,530 193,196,193,530,189,199,192,3000,614,194 3000,192,530,2000,4000,192,198,2000,586,199 614,530,4000,194,190,196,196,2000,196,190 191,614,558,192,198,194,192,2000,558,198 192,198,193,193,530,558,190,196,194,198 190,198,558,194,558,189,614,190,193,25 530,3000,530,198,192,25,3000,3000,196,194 193,530,194,558,4000,192,614,194,3000,190 199,196,530,23,194,190,3000,192,25,614 192,198,614,190,192,3000,23,530,614,530 199,3000,614,4000,189,190,4000,198,191,190 586,198,199,586,3000,199,191,25,191,614 586,586,190,23,4000,614,25,586,558,189 558,199,25,196,194,4000,198,190,189,190 190,192,23,25,614,3000,199,3000,23,199 199,199,3000,194,23,3000,530,191,586,23 530,2000,558,530,530,193,199,558,194,530 25,3000,189,193,196,189,4000,2000,25,189 196,586,192,558,191,191,189,3000,191,558 194,196,196,196,25,530,196,189,558,191 4000,4000,196,2000,23,191,25,614,586,25 25,199,586,198,194,198,614,558,199,23 190,614,4000,198,614,558,25,192,194,199 193,558,530,198,193,3000,23,23,4000,190 3000,2000,192,614,196,586,23,191,191,25 614,198,614,198,4000,4000,191,530,530,191 193,614,192,25,3000,193,189,196,196,558 614,23,614,191,558,530,189,25,189,2000 196,25,190,189,190,3000,614,199,198,2000 25,2000,198,199,23,530,25,193,2000,190 198,191,191,2000,190,198,193,530,25,2000 586,193,189,558,2000,3000,198,25,25,198 614,191,586,3000,198,25,198,191,194,614 198,198,614,23,614,191,199,196,2000,23 4000,558,25,192,614,530,198,2000,194,614 199,194,530,25,191,196,194,199,530,4000 25,530,190,198,558,4000,4000,198,2000,198 25,192,192,23,3000,614,558,25,193,190 189,530,614,199,191,614,2000,25,189,25 2000,25,198,23,196,4000,614,23,586,198 586,199,614,193,190,586,194,190,2000,23 2000,614,199,198,196,530,530,614,530,192 191,190,23,3000,4000,196,190,530,198,586 2000,23,25,193,4000,198,558,196,191,196 190,23,196,199,196,2000,530,558,196,558 4000,558,199,530,4000,194,189,199,199,190 189,3000,2000,586,586,192,25,191,192,198 190,558,193,2000,586,2000,4000,3000,189,23 558,194,189,194,199,193,2000,192,191,2000 558,193,3000,23,199,191,196,3000,530,193 191,2000,2000,25,189,23,191,614,25,199 191,191,193,189,3000,190,530,4000,4000,558 4000,193,194,25,190,586,4000,558,189,193 196,4000,4000,614,196,199,199,530,190,198 190,194,192,23,198,530,586,558,25,586 196,192,199,558,194,198,23,23,196,198 614,192,25,189,586,192,23,198,558,614 189,193,194,530,196,190,2000,190,198,196 193,3000,193,614,190,189,196,25,530,196 586,614,194,191,2000,189,189,530,558,3000 193,194,558,3000,2000,190,25,586,190,23 25,198,530,614,194,191,192,194,194,2000 194,23,192,23,530,25,23,190,2000,23 199,586,558,586,2000,614,192,191,2000,199 4000,23,2000,192,3000,192,614,530,191,3000 558,198,190,191,198,3000,191,198,193,196 4000,614,3000,190,530,614,194,194,191,192 3000,189,586,558,190,191,586,614,558,198 191,193,4000,190,194,189,558,199,2000,191 558,4000,614,25,189,189,193,4000,194,194 191,614,4000,199,25,25,586,198,193,25 191,23,194,614,199,614,189,2000,23,193 2000,199,614,192,530,193,25,25,196,2000 4000,191,193,23,614,189,2000,558,198,191 3000,25,199,194,194,194,194,192,4000,3000 198,23,23,2000,193,4000,194,194,194,614 193,190,198,23,190,558,558,191,23,2000 586,614,25,194,189,4000,3000,199,190,2000 198,189,192,3000,25,23,192,199,191,586 614,586,196,530,4000,23,194,614,23,198 4000,3000,190,25,2000,25,190,190,4000,198 194,196,25,4000,196,191,2000,530,190,190 196,189,23,2000,198,198,191,192,614,190 198,2000,3000,25,194,558,196,25,192,189 199,190,4000,191,3000,23,614,3000,194,191 199,558,198,614,558,558,2000,190,558,194 4000,586,23,193,25,190,23,3000,530,2000 190,614,196,614,191,190,586,23,190,194 530,193,190,3000,23,194,2000,198,196,199 192,23,4000,192,189,586,199,192,198,586 530,25,198,192,193,614,196,198,586,586 23,196,194,199,4000,25,4000,194,558,199 194,25,196,190,190,193,530,193,189,614 199,25,190,196,193,558,198,530,23,25 194,199,193,191,193,614,193,196,191,199 25,25,193,190,558,23,586,586,196,3000 558,189,194,586,193,190,4000,2000,193,194 196,25,586,25,25,2000,2000,194,193,191 189,192,586,193,189,530,3000,194,199,25 586,196,191,190,194,194,530,2000,23,25 190,614,530,530,4000,3000,2000,191,2000,193 190,189,189,192,190,586,25,196,4000,196 189,586,558,23,194,530,4000,530,196,191 586,190,198,189,191,2000,193,558,558,198 194,189,199,189,191,189,25,198,199,23 199,199,189,192,614,23,558,194,190,192 530,196,194,199,191,4000,196,25,192,2000 192,192,614,190,196,194,190,530,192,23 190,193,530,196,2000,2000,191,586,191,198 23,530,25,189,194,196,586,4000,530,199 198,25,198,190,25,199,25,2000,199,199 191,193,614,2000,3000,530,190,191,190,189 586,196,558,558,190,4000,190,194,199,196 190,196,2000,3000,194,25,194,25,614,190 558,194,2000,530,194,614,193,4000,558,196 2000,3000,558,189,196,558,191,189,23,193 586,190,190,614,23,196,198,3000,614,191 25,194,586,192,192,2000,190,199,614,199 586,4000,586,189,25,3000,558,190,196,189 25,196,2000,2000,199,190,23,586,198,3000 193,199,23,558,192,192,25,199,193,614 586,586,530,3000,196,586,189,198,194,530 2000,199,190,23,190,190,189,558,192,194 25,192,3000,199,190,23,189,190,3000,4000 194,586,2000,198,614,199,586,194,586,193 4000,530,530,189,586,193,194,530,190,558 194,614,614,193,194,192,196,193,190,194 558,530,192,4000,558,192,194,558,190,586 3000,189,2000,193,191,614,198,4000,196,614 23,3000,586,586,558,558,3000,196,4000,190 25,194,194,530,191,198,191,193,558,192 25,190,191,193,25,586,199,25,586,190 558,4000,530,4000,3000,23,530,25,558,23 196,3000,191,586,530,23,198,189,530,25 189,190,198,193,558,3000,192,192,3000,558 199,198,192,558,586,194,196,193,198,3000 558,614,190,3000,190,530,558,192,614,198 196,4000,192,194,189,190,192,196,558,193 614,193,586,614,191,193,614,189,190,196 558,2000,199,614,192,199,614,189,2000,189 530,189,199,190,614,2000,586,190,194,2000 191,614,586,196,558,199,25,196,191,191 4000,192,194,198,586,558,193,614,196,586 194,192,190,530,192,196,192,4000,190,192 530,191,4000,193,190,191,25,189,189,192 586,23,3000,198,614,193,196,4000,189,198 192,191,199,3000,558,193,196,194,23,190 614,194,196,191,530,194,558,192,3000,193 198,190,194,199,586,3000,190,2000,191,194 199,191,25,199,25,193,191,190,198,198 193,189,191,192,196,3000,198,4000,189,4000 2000,193,196,193,586,199,199,191,558,190 558,193,193,530,196,196,25,194,23,558 189,23,530,194,614,558,25,193,25,530 192,196,198,191,199,192,586,191,196,4000 192,614,23,4000,614,586,193,3000,23,189 23,530,193,3000,192,190,198,614,199,189 2000,586,191,558,199,190,193,199,194,25 192,2000,586,189,193,614,198,23,192,558 198,25,193,194,192,191,4000,192,190,4000 3000,198,23,191,190,614,530,189,190,194 3000,3000,196,3000,3000,4000,2000,192,25,192 193,558,190,199,194,191,3000,189,191,530 192,196,586,586,558,193,192,614,190,23 586,192,199,586,193,191,3000,614,198,3000 194,198,586,192,196,25,2000,193,23,198 586,2000,23,199,558,190,192,191,194,192 191,2000,614,194,2000,198,198,194,4000,193 192,194,189,189,558,25,530,4000,191,191 23,194,198,2000,189,189,190,190,189,198 2000,558,3000,189,614,586,192,586,614,3000 189,4000,586,190,198,196,196,558,2000,2000 2000,190,558,614,193,4000,558,4000,189,199 196,192,194,192,558,199,194,189,25,4000 191,25,192,4000,23,198,190,586,530,192 199,192,2000,194,530,586,558,4000,199,194 2000,530,2000,586,196,3000,198,199,2000,191 196,558,558,193,192,23,196,558,192,3000 558,530,23,189,2000,23,199,193,199,196 189,199,199,3000,3000,25,191,199,189,194 191,198,194,530,25,191,198,192,196,23 196,2000,530,192,2000,530,193,614,189,191 189,558,196,198,191,194,614,196,23,4000 192,586,192,196,4000,558,3000,2000,189,196 192,192,189,614,193,23,4000,193,199,2000 3000,558,193,3000,191,199,193,190,586,558 194,614,23,198,530,198,198,558,3000,4000 2000,189,198,196,614,196,194,25,192,530 194,191,530,199,23,614,199,192,192,196 194,2000,194,3000,530,2000,558,2000,530,3000 198,194,190,614,196,192,196,614,586,614 199,23,199,196,198,23,199,189,558,558 4000,4000,198,194,196,23,23,189,614,614 196,23,2000,196,2000,614,190,199,194,189 23,190,194,196,190,194,25,3000,190,191 25,25,189,3000,586,189,530,189,3000,199 194,2000,25,614,198,189,194,199,196,193 190,194,199,193,23,4000,614,23,23,191 196,530,4000,191,4000,198,192,190,23,530 3000,4000,25,530,4000,193,190,558,4000,3000 194,189,189,194,4000,199,190,198,196,558 193,2000,530,586,25,194,586,558,23,192 193,558,2000,2000,530,199,530,190,192,193 191,530,191,198,23,586,194,189,192,3000 194,530,4000,25,558,194,191,23,191,2000 189,558,191,25,199,198,194,198,190,199 614,25,191,2000,25,614,614,4000,2000,586 530,25,586,191,191,190,199,2000,614,191 190,530,25,190,193,199,189,192,530,193 190,3000,25,189,614,194,193,191,614,23 614,189,199,4000,530,3000,3000,530,190,193 189,190,25,2000,2000,193,196,23,193,192 23,25,558,193,614,25,189,614,614,586 2000,4000,199,25,2000,614,4000,2000,198,4000 198,4000,189,530,586,4000,586,25,586,3000 3000,196,194,23,530,196,189,196,189,189 191,586,194,4000,193,194,199,190,189,614 23,191,614,4000,199,196,4000,199,586,196 194,193,23,2000,189,23,3000,614,193,530 190,190,193,4000,2000,4000,189,189,196,25 25,558,196,191,189,3000,25,614,2000,614 198,2000,196,558,23,558,189,4000,198,23 614,190,530,558,25,199,4000,190,614,192 2000,25,23,530,23,530,196,190,191,23 23,198,3000,2000,198,192,190,25,23,191 190,586,198,25,3000,198,198,3000,198,192 198,614,190,586,199,196,191,190,25,23 194,3000,198,194,586,3000,189,586,194,586 530,4000,191,3000,558,530,23,4000,23,196 558,190,530,198,191,558,190,586,3000,25 558,192,198,190,530,190,191,199,23,3000 189,25,3000,614,4000,2000,3000,189,194,23 190,193,586,199,530,192,189,193,614,3000 23,193,189,192,4000,191,23,199,614,194 23,190,196,25,196,614,192,3000,199,3000 194,4000,193,199,193,586,614,199,25,191 193,558,586,194,614,614,191,530,3000,192 190,190,23,25,198,191,558,199,192,23 530,192,191,4000,194,23,191,191,2000,558 3000,194,3000,194,193,530,192,198,189,194 189,530,189,196,530,189,193,23,614,614 558,199,558,4000,4000,530,194,23,198,4000 191,25,4000,2000,196,2000,193,25,3000,194 614,3000,193,558,198,193,3000,530,2000,4000 530,3000,23,23,25,558,193,194,190,3000 23,3000,199,2000,4000,586,199,25,196,192 196,198,3000,4000,3000,586,586,2000,192,190 193,198,586,193,586,23,193,198,198,193 192,199,4000,586,196,193,190,586,558,193 199,3000,196,196,196,198,194,196,193,2000 530,190,614,194,530,198,586,614,198,189 586,2000,23,196,192,25,2000,196,586,4000 196,199,196,530,199,189,193,586,4000,2000 530,198,189,199,3000,198,614,614,558,614 196,530,199,198,191,196,530,191,193,196 194,558,199,198,199,190,192,25,196,189 558,193,199,199,586,23,2000,196,614,25 3000,196,4000,196,191,3000,4000,4000,3000,3000 2000,23,193,3000,586,191,191,198,193,2000 192,198,2000,198,25,189,3000,191,189,558 586,530,196,4000,190,558,23,190,193,199 198,4000,23,198,3000,194,198,191,558,530 192,25,530,558,23,4000,191,196,190,189 23,189,196,191,193,198,190,25,2000,192 198,190,199,192,199,25,530,196,530,194 189,191,190,194,189,25,614,25,192,199 558,199,198,586,23,4000,3000,586,194,191 4000,199,196,192,2000,196,3000,198,3000,189 189,194,614,614,25,558,199,196,3000,614 614,199,3000,586,558,198,193,530,189,614 614,558,614,25,614,190,190,189,193,198 191,192,189,191,194,193,2000,2000,530,23 586,3000,192,25,586,23,530,192,614,189 198,586,4000,530,198,190,196,196,3000,4000 194,199,191,586,2000,558,192,3000,614,4000 193,193,189,4000,25,198,191,614,194,193 4000,558,3000,191,25,196,199,23,558,2000 23,23,198,530,3000,193,530,3000,25,25 558,586,196,192,558,25,191,558,192,25 194,4000,558,191,199,191,194,193,3000,190 190,4000,3000,190,190,192,191,194,199,4000 23,199,23,191,586,189,23,2000,586,192 191,4000,196,192,614,198,2000,3000,194,190 193,23,4000,189,2000,196,189,614,2000,198 189,2000,23,4000,190,189,192,198,25,191 199,3000,191,23,194,199,190,614,586,198 23,586,193,192,25,4000,194,191,196,23 25,4000,23,586,191,25,614,530,193,193 192,530,198,189,198,191,193,2000,4000,192 2000,23,194,2000,194,25,3000,198,614,192 190,586,586,586,4000,586,530,4000,25,2000 191,3000,23,192,191,3000,194,199,558,25 189,190,191,558,192,530,191,191,4000,193 614,191,23,191,196,3000,586,199,4000,199 196,191,558,199,25,194,189,3000,2000,194 614,194,198,198,4000,586,2000,194,192,189 199,586,3000,199,192,189,198,25,190,586 198,199,23,193,194,2000,4000,586,23,614 3000,189,193,192,23,198,189,2000,586,191 194,586,614,558,23,586,190,192,193,193 614,4000,558,196,189,191,198,558,191,192 530,530,190,4000,25,199,190,193,194,4000 23,192,198,3000,198,558,614,586,191,189 191,558,530,586,190,4000,196,193,194,586 190,3000,191,191,193,191,2000,23,3000,189 191,199,198,190,192,194,4000,614,25,196 614,190,189,190,192,558,3000,190,25,3000 4000,23,189,2000,191,194,192,4000,193,189 586,25,2000,4000,198,192,192,3000,4000,193 191,3000,3000,189,2000,199,23,196,198,530 199,530,193,530,4000,25,193,2000,190,530 198,3000,3000,3000,189,614,586,3000,2000,196 558,191,192,2000,614,4000,23,614,191,4000