Editorial for Cái túi 1
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Submitting an official solution before solving the problem yourself is a bannable offence.
Submitting an official solution before solving the problem yourself is a bannable offence.
Lưu ý: Các code mẫu dưới đây chỉ mang tính tham khảo và có thể không AC được bài tập này
Code mẫu của flashmt
const fi=''; fo=''; maxn=40; maxc=1048575; var n,re,m,mid,max,num:longint; v,w:array[1..40] of longint; f,g:array[0..maxc] of longint; procedure rf; var i:longint; begin read(n,m); for i:=1 to n do read(w[i],v[i]); end; procedure calc; var i,j:longint; begin max:=1 shl mid-1; for i:=1 to max do for j:=0 to mid-1 do if (i shr j) and 1=1 then begin f[i]:=f[i]+w[j+1]; g[i]:=g[i]+v[j+1]; end; end; procedure sort(l,r:longint); var i,j,x,y,t:longint; begin i:=l; j:=r; x:=f[(i+j) shr 1]; y:=g[(i+j) shr 1]; repeat while (f[i]<x) or ((f[i]=x) and (g[i]>y)) do i:=i+1; while (f[j]>x) or ((f[j]=x) and (g[j]<y)) do j:=j-1; if i<=j then begin t:=f[i]; f[i]:=f[j]; f[j]:=t; t:=g[i]; g[i]:=g[j]; g[j]:=t; i:=i+1; j:=j-1; end; until i>j; if i<r then sort(i,r); if l<j then sort(l,j); end; procedure edit; var i:longint; begin num:=0; for i:=1 to max do if g[i]>g[num] then begin num:=num+1; f[num]:=f[i]; g[num]:=g[i]; end; end; function bs(t:longint):longint; var l,r,md,i:longint; begin l:=0; r:=num; while l<=r do begin md:=(l+r) shr 1; if f[md]=t then break; if f[md]<t then l:=md+1 else r:=md-1; end; if f[md]=t then bs:=md else begin for i:=md+1 downto md-1 do if (i>=0) and (i<=num) and (f[i]<=t) then begin bs:=i; exit; end; end; end; procedure pr; var i,l,ww,vv,j,x:longint; begin mid:=(n+1) shr 1; calc; sort(1,max); edit; l:=mid+1; mid:=n-mid; max:=1 shl mid-1; re:=0; for i:=0 to max do begin ww:=0; vv:=0; for j:=0 to mid-1 do if (i shr j) and 1=1 then begin ww:=ww+w[l+j]; vv:=vv+v[l+j]; end; if ww<=m then begin x:=bs(m-ww); if vv+g[x]>re then re:=vv+g[x]; end; end; end; procedure wf; begin writeln(re); end; begin assign(input,fi); reset(input); assign(output,fo); rewrite(output); rf; pr; wf; close(input); close(output); end.
Code mẫu của RR
{$MODE OBJFPC} uses math; const FINP = ''; FOUT = ''; MAXN = 40; var f1,f2 : text; n,m : longint; res : int64; v,w : array[1..MAXN] of longint; n1,n2 : longint; sv1,sv2, sw1,sw2 : array[0..1050000] of longint; procedure inp; var i:longint; begin read(f1,n,m); for i:=1 to n do read(f1,w[i],v[i]); end; procedure swap(var a,b:longint); inline; var tmp:longint; begin tmp:=a; a:=b; b:=tmp; end; procedure sort1(l,r:longint); inline; var i,j,mid:longint; begin i:=l; j:=r; mid:=sw1[l+random(r-l+1)]; repeat while sw1[i]<mid do inc(i); while sw1[j]>mid do dec(j); if i<=j then begin swap(sv1[i],sv1[j]); swap(sw1[i],sw1[j]); inc(i); dec(j); end; until i>j; if i<r then sort1(i,r); if l<j then sort1(l,j); end; procedure sort2(l,r:longint); inline; var i,j,mid:longint; begin i:=l; j:=r; mid:=sw2[l+random(r-l+1)]; repeat while sw2[i]<mid do inc(i); while sw2[j]>mid do dec(j); if i<=j then begin swap(sv2[i],sv2[j]); swap(sw2[i],sw2[j]); inc(i); dec(j); end; until i>j; if i<r then sort2(i,r); if l<j then sort2(l,j); end; procedure solve; var i,j,bit,nn,m1:longint; begin nn:=n shr 1; n1:=1 shl nn; n2:=1 shl (n-nn); for i:=0 to n1-1 do for bit:=1 to nn do if (i shr (bit-1)) and 1=1 then begin inc(sv1[i],v[bit]); inc(sw1[i],w[bit]); end; for i:=0 to n2-1 do for bit:=1 to n-nn do if (i shr (bit-1)) and 1=1 then begin inc(sv2[i],v[bit+nn]); inc(sw2[i],w[bit+nn]); end; sort1(0,n1-1); sort2(0,n2-1); j:=0; res:=0; m1:=sv1[j]; for i:=n2-1 downto 0 do begin while (j<n1-1) and (sw1[j+1]+sw2[i]<=m) do begin inc(j); m1:=max(m1,sv1[j]); end; if (sw1[j]+sw2[i]<=m) and (m1+sv2[i]>res) then res:=m1+sv2[i]; end; writeln(f2,res); end; begin assign(f1,FINP); reset(f1); assign(f2,FOUT); rewrite(f2); inp; solve; close(f1); close(f2); end.
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