one fine morning n fool line row after number number 1 n inclusive each fool get unique number the fool decide change number end funevery fool exactly k bullet pistol in addition fool number probability pi percent kill fool shoot atthe fool decide round fun each round fun look like currently live fool shoot live fool small number fool stupid shoot all shot round perfome time simultaneously if exactly live fool shootlet define situation set number live fool time we situation possible integer number j 0jk nonzero probability j round fun situation occurValera know number p1p2pn k Help Valera determine number distinct possible situation