This page demonstrates a permutation-fair **d840 + d1440 + 6d5040** configuration of Go First Dice, found by Paul Meyer on Oct 15, 2026. With an LCM of 10080, this solution can be scaled to a homogeneous **8d10080**.

''hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefeggggggggggggggggggggggggggggggggggggggggggggggggggggefefeabcddcbadbaccabdfffdbaccabdeeffedbaccabdffcbaddabceeeeefecbaddabcfffabcddcbaeefefcbaddabcfffabcddcbaeeeeeefeeedbaccabdfffcbaddabceeeabcddcbaffcbaddabcfabcddcbafffffcbaddabceefeabcddcbafffffdbaccabdfeeecbaddabcabcddcbaeeeeeecbaddabcfffabcddcbaeefedbaccabdfffeffeeabcddcbaefeecbaddabceeefdbaccabdeefffefdbaccabdeeffeabcddcbafcbaddabcffffdbaccabdeeedbaccabdffdbaccabdeeedbaccabdffffcbaddabcfabcddcbaeffeedbaccabdfefffeedbaccabdfeeecbaddabceefeabcddcbaeeffefffdbaccabdefeeabcddcbafffcbaddabceeeeeeabcddcbacbaddabceeefdbaccabdfffffabcddcbaefeecbaddabcfffffabcddcbafcbaddabcffabcddcbaeeecbaddabcfffdbaccabdeeefeeeeeeabcddcbafffcbaddabcfefeeabcddcbafffcbaddabcefeeeeecbaddabcffdbaccabdeffeedbaccabdfffdbaccabdabcddcbaefefegggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh''