Ответ: 1*99+2*98+…+49*51+50*50+51*49+52*48+…+99*1==2*(1*99+2*98+…+49*51)+50*50==2*( (50-49)(50+49)+(50-48)(50+48)+…+(50-1)(50+1) )+2500==2*( (50^2-49^2)+(50^2-48^2)+…+(50^2-1^2) )+2500==2*( 49*50^2-(1^2+2^2+…+49^2) )+2500==2*(49*2500-40425)+2500=2*82075+2500=166650