集训队作业解题报告

Ural1562GM-pineapple圆柱上的截面积4圆锥上的截面积

4hl a半椭球的截面积p•(1h2vara,b,v,r:extended;readln(a,b,n);r:=a/2;s[0]:=0;fori:=1tondiv2dobeginfori:=1tondiv2dowriteln((s[i]-s[i-ifnmod2=1thenwriteln((4/3*pi*r*r*r-2*s[ndiv2])/a*b:6:6);fori:=ndiv2downto1dowriteln((s[i]-s[i-1])*b/a:6:6);

1562.GM-TimeLimit:1.0secondMemoryLimit:64MBAsyouknow,Ravshan'sandJhamshud'steamisnowbuildingoneofthe“UralGuards”towers.OnaSkyscraperBuilder'sDay(yes,thereissuchaholiday)theirforemanboughthisworkersapineappleasapresent.Notanusualpineapple,butageneticallymodifiedone.Thebuilderswantedtodividethepineappleasfairlyastheycould.Theproblemwasponderedonforquitealongtime,andeventuallythemencameupwithasolution.Theyputthepineappleonitsside,thenusedmeasuringtapeandacircularsawtocutthefruitintonflatdiscsofequalthickness.Ravshan(yes,that'syou)isrecognizedasthewisestoneamongtheworkers,sotheymadeyougiveoutthepiecesfairlytoeveryoneinthegroup.You(thatis,Ravshan,asyouremember)aren'tbornyesterday,soyoutoldfellowbuildersthatyouwillhandoutthepiecesassoonasyoudeterminetheweightofeachpiece.Butwhatanillluck—therearenoscalesinworkers'toolboxes.Nevertheless,it'sknownthatGM-pineapplesallhavetheshapeofellipsoidofrevolution.Thisparticularpineappleisacentimeterswideandbcentimeterslong(b>a),and1cubiccentimeterofaGM-pineappleweighsexactly1gram.Youunderstoodthisknowledgeisenoughtodeterminetheweightofeachpiece.Thesinglelineofinputcontains3decimalnumbers:aandb—widthandlengthofthepineapple(incentimeters,measuredexactlywithslidegauge;1≤a<b≤100),followedbyn—numberofpieces(1≤n≤Outputtheweightofeachpieceingramswithmicrogramprecision,inorderofcutting.Placeeachnumber