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2015蓝桥真题 (B组国赛):积分之迷

2017-07-12 11:28:43         来源:zyf_2014的博客  
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2015蓝桥真题 (B组国赛)

标题:积分之迷

小明开了个网上商店,卖风铃。共有3个品牌:A,B,C。

为了促销,每件商品都会返固定的积分。

小明开业第一天收到了三笔订单:

第一笔:3个A + 7个B + 1个C,共返积分:315

第二笔:4个A + 10个B + 1个C,共返积分:420

第三笔:A + B + C,共返积分....

你能算出第三笔订单需要返积分多少吗?

请提交该整数,不要填写任何多余的内容。

参考答案:

105

-------------------------

点评:

明显可以暴力破解,只要循环嵌套2层即可。

如果一定想用数学技巧也可以:

3A + 7B + C = 315 ......(1)

4A + 10B + C = 420 ......(2)

求:A + B + C = ?

(2)-(1) 得:A+3B = 105

(1)式变形: 2(A+3B) + (A+B+C) = 315

显然,A+B+C = 315 - 105 * 2 = 105

标题:完美正方形

如果一些边长互不相同的正方形,可以恰好拼出一个更大的正方形,则称其为完美正方形。

历史上,人们花了很久才找到了若干完美正方形。比如:如下边长的22个正方形

2 3 4 6 7 8 12 13 14 15 16 17 18 21 22 23 24 26 27 28 50 60

如【图1.png】那样组合,就是一种解法。此时,

紧贴上边沿的是:60 50

紧贴下边沿的是:26 28 17 21 18

22阶完美正方形一共有8种。下面的组合是另一种:

2 5 9 11 16 17 19 21 22 24 26 30 31 33 35 36 41 46 47 50 52 61

如果告诉你该方案紧贴着上边沿的是从左到右依次为:47 46 61,

你能计算出紧贴着下边沿的是哪几个正方形吗?

请提交紧贴着下边沿的正方形的边长,从左到右,用空格分开。

不要填写任何多余的内容或说明文字。

参考答案:

50 33 30 41

---------------------

点评:

完美正方形问题如果完全没有线索来求解,十分困难。

不过此题给出了诸多线索,暴力破解是可行的。

首先可以确定大正方形的边长。

接下来只要先去枚举3条未知边的所有可能组合情况,剩下中间的情况就很少了。

#include

#include

using namespace std;

int a[]={2, 5 ,9 ,11 ,16, 17, 19, 21, 22, 24, 26, 30, 31, 33, 35, 36, 41, 50 ,52 };//正方形

int vis[19]; //访问数组

int que[30]; // 存储最下行每个正方形大小

int fon=0; //最下行正方形索引

int map[154][154]; //填充为1 未填充为0

void make(int x,int y,int k,int u) //填充和清除正方形 u为1为填充 否则为清空

{

if(u==1)

for(int i=x;i154)

return 0;

if(y+k>154)

return 0;

//判断将被填入的正方形部分是否有已经被填充部分

for(int i=x;i=19) //完成遍历

{

for(int i=0;i

标题:关联账户

为增大反腐力度,某地警方专门支队,对若干银行账户展开调查。

如果两个账户间发生过转账,则认为有关联。如果a,b间有关联, b,c间有关联,则认为a,c间也有关联。

对于调查范围内的n个账户(编号0到n-1),警方已知道m条因转账引起的直接关联。

现在希望知道任意给定的两个账户,求出它们间是否有关联。有关联的输出1,没有关联输出0

小明给出了如下的解决方案:

#include

#define N 100

int connected(int* m, int p, int q)

{

return m[p]==m[q]? 1 : 0;

}

void link(int* m, int p, int q)

{

int i;

if(connected(m,p,q)) return;

int pID = m[p];

int qID = m[q];

for(i=0; i

}

int main()

{

int m[N];

int i;

for(i=0; i

link(m,0,1); //添加两个账户间的转账关联

link(m,1,2);

link(m,3,4);

link(m,5,6);

link(m,6,7);

link(m,8,9);

link(m,3,7);

printf("%d ", connected(m,4,7));

printf("%d ", connected(m,4,5));

printf("%d ", connected(m,7,9));

printf("%d ", connected(m,9,2));

return 0;

}

请分析源代码,并提交划线部分缺少的代码。不要填写已有代码或任何多余内容。

参考答案:

if(m[i]==pID) m[i]=qID

正确直接得分,否则把用户答案带入测评代码中的######,运行结果比对:

1 1 0 1 0 0

测评程序为:

#include

#define N 100

int connected(int* m, int p, int q)

{

return m[p]==m[q]? 1 : 0;

}

void link(int* m, int p, int q)

{

int i;

if(connected(m,p,q)) return;

int pID = m[p];

int qID = m[q];

for(i=0; i

}

void show(int* m)

{

int i;

for(i=0; i<10; i++) printf("%d=%d ", i, m[i]);

printf("\n");

}

int main()

{

int m[N];

int i;

for(i=0; i

link(m,0,1);

link(m,1,2);

link(m,3,4);

link(m,5,6);

link(m,6,7);

link(m,8,9);

link(m,3,7);

link(m,10,11);

link(m,6,10);

printf("%d ", connected(m,4,7));

printf("%d ", connected(m,4,5));

printf("%d ", connected(m,7,9));

printf("%d ", connected(m,11,4));

printf("%d ", connected(m,9,2));

printf("%d ", connected(m,12,5));

printf("\n");

return 0;

}

标题:密文搜索

福尔摩斯从X星收到一份资料,全部是小写字母组成。

他的助手提供了另一份资料:许多长度为8的密码列表。

福尔摩斯发现,这些密码是被打乱后隐藏在先前那份资料中的。

请你编写一个程序,从第一份资料中搜索可能隐藏密码的位置。要考虑密码的所有排列可能性。

数据格式:

输入第一行:一个字符串s,全部由小写字母组成,长度小于1024*1024

紧接着一行是一个整数n,表示以下有n行密码,1<=n<=1000

紧接着是n行字符串,都是小写字母组成,长度都为8

要求输出:

一个整数, 表示每行密码的所有排列在s中匹配次数的总和。

例如:

用户输入:

aaaabbbbaabbcccc

2

aaaabbbb

abcabccc

则程序应该输出:

4

这是因为:第一个密码匹配了3次,第二个密码匹配了1次,一共4次。

资源约定:

峰值内存消耗 < 512M

CPU消耗 < 3000ms

请严格按要求输出,不要画蛇添足地打印类似:“请您输入...” 的多余内容。

所有代码放在同一个源文件中,调试通过后,拷贝提交该源码

注意: main函数需要返回0

注意: 只使用ANSI C/ANSI C++ 标准,不要调用依赖于编译环境或操作系统的特殊函数。

注意: 所有依赖的函数必须明确地在源文件中 #include , 不能通过工程设置而省略常用头文件。

提交时,注意选择所期望的编译器类型。

用例:输入:askfjsahsiafsahifhgafghghhsaggggfhsafsaaskfjsahsiafsahifhgafghghhsaggggfhsafsa

1

hahhgggs输出:4输入:iskfjhhhsiafsahifgsafghgghssgaasfhsafsaaskfjsghsiafsahifhgaiaaghhaaggggfhisfskaskfjgsssfafhahihhgafghghhsaggggfhhafgaaskajsaasshasaaifahafghghhssgsgsfhsafsghakfjsagsiafsasifhgafghghhsagggffhsafsghskfjshhsaafsagifggsfghghhagggggshfhfsagskfjsfhsiafgghifhgafghghaaaghgaahsafsafskfjsafsiaisahiffgafahghssaggggfhsgfsaaskfjsahssafsahifhgafghghhaagggafhsafsgasffjssfsiafhahifhgafhhghhssgaggghsgfsaaskajsghsigffahifhgafifgshsaggggfhsafsiaskfjsahgiahsahjfhsafghghssggaagshgafsagskfjsahsiafsahifhgaggkghhsfgahffhaafsaaskfjfahsiassahifhgaffhghsgaahggfhaahsaaakgjgaasifhsahifsgafghghhhagaggfasafsahsshfsahsiafhahafhgafahghhsaggagfhhafss

1

hhhggsag输出:5输入:aakiafahsihasahifhgsfghihhsggahishhsfaaaskfjsahsiafaahgfhgafghghhsaggggfhsafsaaskhjsahgiafsahifhgafhhgfhsafgggfasafsafskfjsaksffffahiahgafghgihssagggfhsasssaakfgsahsiahsahishgafghkhgsahggsihsaisaaakfjsahsihfsaffghfshghghhsagghgihssfsaaakfjsahsiggsahishgafghghasafgggfasafsafhgfjsahshafsahsahgafaagsfsaggggfksahhaaskfjjahsiafsahifhgafghghhsaggggghsafsaasgaisafsisssahhfsgafghhhishggggghsafsaahkaisahsfafsasjghgashhghhsaggggfffafsafsghjahhsiafsihifhgafghghhsaagggfhsfgsagskfjsahsiassahiffgafghghhsfggghfgsafsafskfsssgfiafsahifhgkfghfhgsagaggfhsafgaaskfjsahsgafaahafhgafghghhgaggggfhsaffajfsfjashsiafsahgfhaafghgfhaajggjfhsafss

10

hggagghs

sjfssakh

hfhaggfi

sahsfias

sksjsahf

ifgfahhg

sasifhaj

akjfshas

iasihaff

saijhsaf输出:44输入:askfjaahsiafssaihhgafghghhsaggfgfhsakgaaskhjsahsiafsasishgafghghhsaggggfhsafsaaskfjsassiafsahifagffghghhsaggggfhsafsaafkfjsahsiassahifggafahghksjggggfhsafhaiskfjsassiagsahifhgafghghhsaggggfhsafsaaskfasghsiafsjjiahgafghghhsagggggfsaasaasffafahsiaasahhfggafghghhshgfhgfgsafiaasggjsghsiafsahifhgafghghhsasgggfhsahsaaskffsahsgafsahifhgffgsgihsaggagfhsafsaafhfjsassigfaahighgafghahhhagiggfhahfsaaskagfghsisfsahifhgafghghhsaggshfhaafsaaskfjssfsiafsahifggsfghfhssaggggfhsassaasgfjsahsiafsahifhgafghghhsaggggfhaafssskafasafsiagsahifsgafghghhkagfggfhsasshaskfjsahsiafsahsfhhafghghasagghgfhsafsaaskfjsahsiagshhifhgafghahhsaagggfhsafshaakfjsaasiafsahhfhgsfghghhsgggggshsassaaskhjsahsiafsahifhgagghghhsaggggfhsafsaaskfjsshsiagsahifhgafghahhfaggggfhsafsasskfjsahsiafsahsfhgafggghhgaigggfhsafsaaskajsahsiafsahihhkafgagghfagggsghfafsfaskfjsassiafsahihhgafghghhsagggafhsafsaaskfjsahsiafgahifhgafghghhsaggggfhsafsaaskfjsahsgakshhifhgafggghhssfgggfgsafiaaskfjsaasiafgahifhgakghgihsagfggfhsafsaahkfjsshiihfsahifhhaighhhhsaggghafsagsasskhjsahaiafhahifhgafggghhshgggffhsafsaasffjsahsaafshhifhgafghghhsaggggfhsafsaaskfjsahsiafsghifhgafgkghhsaggggfgsgffahakfjsahfhafsahifhgafghghhhaggggfhsafgaaskfjsaaaiafsahihhgafgkjhhsaggagfhsafsaaskfjsahsiafsahifhgafghghhsafgggfhsafsaashfjsahhisfaahiahgafghghhsaggakfhsafsajskfhsahgiagsahjfhgafghghhsaggggfhsgfsasskfgsahsiaasahifhgafghhhhsaggggfhsaffiaskfjfahsiafsahifhfafghgafsaggggffsafsaaskfjsahsiafsahifhfafghghhsaagggfhsafsasskfjgghsasfsahifhgafgsghgsahaggfhsafsaasafjsghgaafsahifigafgsgfhgaghjhfhsahsgasifjsahfiafsaisfhaafghghhsaggsgfhsafshasksjsahsgffaahgfhgsfghghhsaggggfhsafsaaskajsahsiafsaaifhgafghghhsgggggfhgsfsaasgfjsahgiaasahifhgafihahhsaggsgagsafsaaskfjsahaiaasahifhgafghshhhaggagfhsafsaaakfjfahsiafsahafhgafhhgghsaggggagsafsaaskfjhahsiafsasifigafghghhsaagggfhsafgassgfjsahsiafsahifhgagghggasaggggfhfafhaaskfjsahsiafsahiahfafghgghsaggggahsafsaaskfjaghsiafsahgfhgafagghhsaggagfhiafsaaskfjsahhiafsaaifhghfshgghsahgggfhsgfsaaskfjsahskafsahifaggfghghhsaggkghhsagshasafjsahsigfsahifhghgghghhsaggggfhsafsaashffsahsiafsahifhgsfghghhsaggggfhssfsaaagfjsahsigfsahighgffghghjsagskgfhsajsaaskahaahsiafsahifhgafjhghssagggffhaafsahskfhsahssafsahifhfafghghhsaggggagsafsaasafssahgiafsahifhgafghghhsaggggfhssfsaaskajhahsiafsahifhgafghghhsaggggfhsafsafskfjfassiafsahifhgafghghhsaggggfhsafsggskfjsahsiafsahifhgsfgaghhsaggggfhsafsaaskfjsgfsifssahifhasfhhghhsaggsgfhskfhaaskhjsahsisfsahifhjffghghhshggggfgsafsaaskfjsahsiassagighgsfghghhsagaggfhsafsafskfjsfhsisfsahifghafghghhsagggkfhfafsiaskgjsahsaafsagifhgafgaghhaaggggahsaffaaskfjiahsiafsahifhgafghghhsaggggfhsaffaaskfsaahsiafsahifhgafghghhsaggggshsafsaaskfassfsiafsfiiffhafghghhsagggsfhaafsaaskfjsghsiafhahifhgafghghhsaggggfhsafsaaskfjsahsiafsaiifsgafghgshsaggggfgsafsaassfhjahsisfsahhfhgagghghhsahgggfhsaffasskfjsahsaassahifhgaighghhsaggggfhsafsaaskfjsahsiafsahifhaafahghhsaggggfhshfsfaskfjsagsiafsahijhgahshghhsagaisfafafsaaskfjsahsiafsahhfhghfghhhhsaggggfhsafsassafjsahasaffahifhfafghfhhssggggfhsafsigskfjsahiiafsahifhgafghghssagaghfhasfsafskfhsahsiassahifagafghghhsagjggfhsafsaahkhssaisiafsahifhggfghghhsagggffhsafsasskfjsshsiafsahsfhgafghfhhsaggggfhsffsaashgjgahaiafsagifhgafghghhsaggggfhsafsaaskfjhhhsiafsahishgafhhghhsaggsffhsafsaakkfjsahsiafsahiahgafghghksfggggfhsafsfaskiasahsiafsahffhsahghghhsaggggghsafsaaikfjiifhiafaafifggafaagfhsagghgghsafsaaakfjsahsiafsahifhgasggghhsaggggfhsafssaskfjsahghafsahifhgasghghhsagggsfhsafsaaskfjsahsiafsihaffgafghghhsaagggfhsafsaaskfjsahsiafshhifhgafghihgsagfggfhsafsaaskijsahsiafgasifhgafgaahfssghggfhsfasgaskfjsahsiafsahifhgasghghhsagghgfhsafsaaskfjsahsiafsjhifhaafshgghsagggsshsafshaskhjsahsiafhahifhggfghghhsagfggfhshfsaahkfjsahaiafsgjifhfafggghhsaggggfjsafsaassffsahiiafsahffhgafghghhsaggggfhsafskasffasahsiafsahifhgafgaghhsaisgsfhhafjaaskfjsahgiaasahifhgafghgfhsaggfgfhfhssaaskfasahsiafgasifhgafghgghsagghgfksffsaaskfjsahsiafsahifhgafghghhsaagghshsffsasikfjhahsiahsafgfhgafahghhsafgfgfhhsfsaaskfjfagsfaisahiffgasghshssaggggfhsahsassafjgahsiaafahifhhafhhghfsagkggahsgfsaaskfjhahsiafhahgfgkaffhghhsaagggfhgafsahskgjsaisiafsahighfkfghgahsaggggfhsifsaaskfjshhsiafsahhfhgagfhgfhsagaggfifafsaaskfjsahsiafsahifhkahghshhsgsgggfhsafsaaskjssaggiafhahifhggfghgihsaggghffsafsaaasfjgahsasfsaiifhgafgaghhsakghffhsagsaaskfjsahsiafsaaifhfhfghfshsaggggfhsafsiasksjsahsiafsahifhgafghghhsafgggfhsassaasafasahsiafhshifhgifgfgahsaggggfhsafsaaskgjsjhsaafsfhifhgafghghhaaggggfhsafsaaskfgsahsiafsahifhhafghghhshggghfhsafsaaskffsahsiafsahifhgafgaghhsaggggfhsafsaasksjaagsiafsahafhghfghghhgaggghfhsafsaaskfjsahaiafsahifhgafghgghsaggggfhsafsaaskfjsahsiafsahafhgafshghhsssgggfhshfsaaskgjsahsiafgshifhgahghghhiaggggfhsagsaaskfjfahsiafhahshfgafghghhsaggggfhshfhaasfhjsahsiafsahifhgafghghhsafgggfhsffsaafkfjsfhsiagaffiahgafghghhsjghgafhsafaaaskfhsahsfaffahfahgafghghhsaggggfhsassaahkfasahsihasahifhkafghgfhkaggggfhsaffaaskfjshhsiafsahifshafghghhfagaggshaaasafskfjfahsiagsahgfhgafshghhsagghafhgafsaafkfksahsiafsahifhgafahghhsaggggfhsahsfahkfjsahsiahsahifhgjfgsghhgaahggghsafsaaskfjgkhiiaasahifhgafgggahsksgg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

10

faashhig

hhgagggs

sfsaihas

ghghsgga

ghghhsag

ffhaiggh

hhgghsag

shghghaf

ghgfahsh

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