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  • NOIP2012

    DAY1

    Vigenère 密码

    模拟

    可以先把密钥全部转化为大写或小写

     1 var
     2   i,asc:longint;
     3   k,c:ansistring;
     4 begin
     5   readln(k);
     6   for i:=1 to length(k) do k[i]:=upcase(k[i]);
     7   readln(c);
     8   while length(k)<length(c) do k:=k+k;
     9   for i:=1 to length(c) do
    10   begin
    11     asc:=ord(c[i])-(ord(k[i])-ord('A'));
    12     if (ord(c[i])>=65) and (ord(c[i])<=90) then
    13       if asc<65 then asc:=ord('Z')-(65-asc)+1;
    14     if (ord(c[i])>=97) and (ord(c[i])<=122) then
    15       if asc<97 then asc:=ord('z')-(97-asc)+1;
    16     write(chr(asc));
    17   end;
    18 end.
    我去年的程序
     1 var
     2   k,m,c:ansistring;
     3   i,l,s:longint;
     4   dax1,xix1,dax2,xix2:boolean;
     5 procedure pd(x,y:char);
     6 begin
     7   dax1:=false; dax2:=false;
     8   xix1:=false; xix2:=false;
     9   if (ord(x)>=ord('a'))and(ord(x)<=ord('z')) then xix1:=true
    10    else if (ord(x)>=ord('A'))and(ord(x)<=ord('Z')) then dax1:=true;
    11   if (ord(y)>=ord('a'))and(ord(y)<=ord('z')) then xix2:=true
    12    else if (ord(y)>=ord('A'))and(ord(y)<=ord('Z')) then dax2:=true;
    13 end;
    14 procedure doit1(var k,c:char);
    15 var cha:longint;
    16 begin
    17   cha:=ord(c)-(ord(k)-ord('a'));
    18   if cha<ord('a') then
    19    cha:=ord('z')-((ord('a')-cha))+1;
    20   c:=chr(cha);
    21 end;
    22 procedure doit2(var k,c:char);
    23 var cha:longint;
    24 begin
    25   cha:=ord(c)-(ord(k)-ord('A'));
    26   if cha<ord('A') then
    27    cha:=ord('Z')-((ord('A')-cha))+1;
    28   c:=chr(cha);
    29 end;
    30 procedure doit3(var k,c:char);
    31 var cha:longint;
    32 begin
    33   cha:=ord(c)-(ord(k)-ord('a'));
    34   if cha<ord('A') then
    35    cha:=ord('Z')-((ord('A')-cha))+1;
    36   c:=chr(cha);
    37 end;
    38 procedure doit4(var k,c:char);
    39 var cha:longint;
    40 begin
    41   cha:=ord(c)-(ord(k)-ord('A'));
    42   if cha<ord('a') then
    43    cha:=ord('z')-((ord('a')-cha))+1;
    44   c:=chr(cha);
    45 end;
    46 begin
    47 assign(input,'vigenere.in');
    48 reset(input);
    49 assign(output,'vigenere.out');
    50 rewrite(output);
    51   readln(k);
    52   readln(c);
    53   while l<length(c) do
    54    begin
    55      k:=k+k;
    56      l:=length(k);
    57    end;
    58   for i:=1 to length(c) do
    59   begin
    60     pd(k[i],c[i]);
    61     if (xix1)and(xix2) then doit1(k[i],c[i]);
    62     if (dax1)and(dax2) then doit2(k[i],c[i]);
    63     if (xix1)and(dax2) then doit3(k[i],c[i]);
    64     if (dax1)and(xix2) then doit4(k[i],c[i]);
    65   end;
    66   writeln(c);
    67 close(input);
    68 close(output);
    69 end.
    我今年的程序
     1 注意大小写
     2 var
     3 i,l,t:longint;
     4 a:Array[0..1000] of longint;
     5 s:string;
     6 ch:char;
     7 begin
     8   readln(s);
     9   l:=length(s);
    10   for i:=1 to l do
    11     if ord(s[i])>=97 then a[i]:=ord(s[i])-96
    12     else a[i]:=ord(s[i])-64;
    13   a[0]:=a[l];
    14   read(ch);
    15   i:=1;
    16   t:=ord(ch);
    17   while (t>64)and(t<124) do
    18    begin
    19     if t<97 then
    20      begin
    21       t:=t-64;
    22       t:=(t-a[i mod l]+27) mod 26;
    23       if t=0 then t:=26;
    24       t:=t+64;
    25       write(chr(t));
    26      end
    27     else
    28      begin
    29       t:=t-96;
    30       t:=(t-a[i mod l]+27) mod 26;
    31       if t=0 then t:=26;
    32       t:=t+96;
    33       write(chr(t));
    34      end;
    35     read(ch);
    36     inc(i);
    37     t:=ord(ch);
    38    end;
    39 end.
    老师给的题解

    智商在流失。。

    国王游戏

    快排+高精乘+高精除

    [转]

    正解= 贪心+高精.

    贪心证明 :

    设存在 相邻大臣A(l1,r1),B(l2,r2),A,B前左手乘积为Sum :

       当A在B前时: 

            则Ans=max(Sum/r1,Sum*l1/r2) ;

      当B在A前时: 

            则Ans=max(Sum/r2,Sum*l2/r1) ;

      显然 Sum*l2/r1>Sum/r1  ; 

             Sum*l1/r2>Sum/r2 ;

      所以当 Sum*l2/r1>Sum*l1/r2

            即   l2*r2>l1*r1 时  A应在B前

      同理

            即   l2*r2<l1*r1 时  B应在A前

      所以按 l*r 从小到大排序在进行模拟即为正解.

     1 type
     2   arr=array[1..10000] of longint;
     3 var
     4   ans:arr;
     5   n,i,j,a1,b1,la:longint;
     6   a,b,c:array[1..10000] of longint;
     7 procedure sort(l,r:longint);
     8 var
     9   i,j,tmp,mid:longint;
    10 begin
    11   i:=l;
    12   j:=r;
    13   mid:=c[(i+j)div 2];
    14   repeat
    15     while c[i]<mid do inc(i);
    16     while c[j]>mid do dec(j);
    17     if i<=j then
    18      begin
    19        tmp:=c[i]; c[i]:=c[j]; c[j]:=tmp;
    20        tmp:=a[i]; a[i]:=a[j]; a[j]:=tmp;
    21        tmp:=b[i]; b[i]:=b[j]; b[j]:=tmp;
    22        inc(i);
    23        dec(j);
    24      end;
    25   until i>j;
    26   if l<j then sort(l,j);
    27   if i<r then sort(i,r);
    28 end;
    29 procedure mul(var a:arr;c:longint;var la:longint);
    30   var i:longint;
    31   begin
    32     a[1]:=a[1]*c;
    33     for i:=2 to la do
    34       begin
    35         a[i]:=a[i]*c;
    36         a[i]:=a[i]+a[i-1] div 10;
    37         a[i-1]:=a[i-1] mod 10;
    38       end;
    39     while a[la]>=10 do
    40       begin
    41         inc(la);
    42         a[la]:=a[la-1] div 10;
    43         a[la-1]:=a[la-1] mod 10;
    44       end;
    45   end;
    46 procedure chufa(var d:arr; b:longint; var la:longint);
    47 var c,a:arr;
    48     x,j,tmp:longint;
    49 begin
    50   fillchar(c,sizeof(c),0);
    51   for i:=la downto 1 do a[la-i+1]:=d[i];
    52   //for i:=1 to la do write(a[i]); writeln;
    53   x:=0;
    54   for i:=1 to la do begin
    55     c[i]:=(x*10+a[i]) div b;
    56     x:=(x*10+a[i]) mod b; end;
    57    j:=1;
    58    while (c[j]=0) and (j<la) do inc(j);
    59    if (j=la) and (c[la]=0) then begin writeln(1); halt; end;
    60   for i:=j to la do
    61    write(c[i]);
    62 end;
    63 begin
    64 assign(input,'kinggame.in');
    65 reset(input);
    66 assign(output,'kinggame.out');
    67 rewrite(output);
    68   readln(n);
    69   readln(a1,b1);
    70   for i:=1 to n do
    71    begin
    72      readln(a[i],b[i]);
    73      c[i]:=a[i]*b[i];
    74    end;
    75   sort(1,n);
    76   fillchar(ans,sizeof(ans),0);
    77   ans[1]:=1; la:=1;
    78   for i:=1 to n-1 do mul(ans,a[i],la);
    79   mul(ans,a1,la);
    80   //for i:=la downto 1 do write(ans[i]); writeln(b[n]);
    81   chufa(ans,b[n],la);
    82   //for i:=la downto 1 do write(ans[i]);
    83   //for i:=1 to n do writeln(a[i],' ',b[i],' ',c[i]);
    84   close(input);
    85   close(output);
    86 end.
    我的程序
     1 可以证明最优序列是按照左手上的数*右手上的数递增排序,所以
     2 1.    按照左手上的数*右手上的数递增排序
     3 2.    前n-1个左手上的数累乘(高精乘)
     4 3.    除以n右手上的数(高精除)
     5 var
     6 i,n,l:longint;
     7 a,b,c:array[0..10000] of longint;
     8 g,g2:array[0..100000] of longint;
     9 procedure gj1;
    10 var
    11 j:longint;
    12 begin
    13  for j:=1 to l do g[j]:=g[j]*b[i];
    14  for j:=1 to l do
    15   begin
    16    g[j+1]:=g[j+1]+g[j] div 10;
    17    g[j]:=g[j] mod 10;
    18   end;
    19  inc(l);
    20  while g[l]>9 do
    21   begin
    22    g[l+1]:=g[l+1]+g[l] div 10;
    23    g[l]:=g[l] mod 10;
    24    inc(l);
    25   end;
    26  if g[l]=0 then dec(l);
    27 end;
    28 procedure gj2;
    29 var
    30 j:longint;
    31 begin
    32  for j:=l downto 1 do
    33   begin
    34    g[j-1]:=g[j-1]+(g[j] mod c[n])*10;
    35    g[j]:=g[j] div c[n];
    36   end;
    37  while g[l]=0 do dec(l);
    38 end;
    39 procedure sort(l,r:longint);
    40 var
    41 i,j,x,y:longint;
    42 begin
    43   i:=l;
    44   j:=r;
    45   x:=a[(l+r) div 2];
    46   repeat
    47     while a[i]<x do inc(i);
    48     while x<a[j] do dec(j);
    49     if not (i>j) then
    50      begin
    51       y:=a[i];
    52       a[i]:=a[j];
    53       a[j]:=y;
    54       y:=b[i];
    55       b[i]:=b[j];
    56       b[j]:=y;
    57       y:=c[i];
    58       c[i]:=c[j];
    59       c[j]:=y;
    60       inc(i);
    61       dec(j);
    62      end;
    63   until (i>j);
    64   if l<j then sort(l,j);
    65   if i<r then sort(i,r);
    66 end;
    67 begin
    68   readln(n);
    69   readln(b[0],c[0]);
    70   for i:=1 to n do
    71    begin
    72     read(b[i],c[i]);
    73     a[i]:=b[i]*c[i];
    74    end;
    75   sort(1,n);
    76   l:=1;
    77   g[1]:=b[0];
    78   for i:=1 to n-1 do gj1;
    79   gj2;
    80   for i:=l downto 1 do write(g[i]);
    81   writeln;
    82 end.
    老师给的题解
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  • 原文地址:https://www.cnblogs.com/vacation/p/6044311.html
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