Topcoder SRM 668 DIV 2
2024-09-29 10:21:29
VerySecureEncryption 模拟
题意:
给你个串message,然后一个置换key,输出置换K次后的结果。
题解:
直接模拟就好。
代码:
#include<iostream>
#include<vector>
#include<string>
#include<algorithm>
using namespace std; class VerySecureEncryption {
public:
string encrypt(string message, vector<int> key, int K) {
char res[][];
for (int i = ; i < message.length(); i++)res[][i] = message[i];
for (int i = ; i < K; i++)
for (int j = ; j < message.length(); j++)
res[i & ][key[j]] = res[(i + ) & ][j];
string r;
for (int i = ; i < message.length(); i++)
r = r + res[(K - ) & ][i];
return r;
}
};
IsItASquare 计算几何
题意:
给你平面上四个点,问你是否能够构成正方形
题解:
取三个点,看是否能够构成等腰直角三角形,然后再check一下最后一个点。
代码:
#include<iostream>
#include<vector>
#include<string>
#include<algorithm>
using namespace std; class Coordinate
{
public:
double xCoordinate;
double yCoordinate; Coordinate(double x = ,double y = )
{
this->xCoordinate = x;
this->yCoordinate = y;
} bool operator!=(Coordinate const &comp) const
{
return (this->xCoordinate != comp.xCoordinate ||
this->yCoordinate != comp.yCoordinate);
}
}; /**
* @explanation 判断是否为等腰直角三角形.
*/
bool Judge(Coordinate const x,Coordinate const y,Coordinate const z)
{
Coordinate *mVector = new Coordinate(x.xCoordinate - y.xCoordinate,
x.yCoordinate - y.yCoordinate);
Coordinate *nVector = new Coordinate(z.xCoordinate -
(x.xCoordinate + y.xCoordinate)/,
z.yCoordinate -
(x.yCoordinate + y.yCoordinate)/);
//判断是否为等腰三角形
bool result = ((mVector->xCoordinate * nVector->xCoordinate +
mVector->yCoordinate * nVector->yCoordinate) == ); //判断是否是直角三角形
if(result)
result = (mVector->xCoordinate * mVector->xCoordinate +
mVector->yCoordinate * mVector->yCoordinate)
== ((nVector->xCoordinate * nVector->xCoordinate +
nVector->yCoordinate * nVector->yCoordinate) * ); delete mVector;
delete nVector; return result;
} bool IsSquare(Coordinate *array,int length)
{
if(length != )
return false;
int a,b,c; if(Judge(array[],array[],array[]))
{
a = ;
b = ;
c = ;
}
else if(Judge(array[],array[],array[]))
{
a = ;
b = ;
c = ;
}
else if(Judge(array[],array[],array[]))
{
a = ;
b = ;
c = ;
}
else
return false; return (array[] != array[c] && Judge(array[a],array[b],array[]));
} class IsItASquare {
public:
string isSquare(vector <int> x, vector <int> y) {
Coordinate ar[];
for(int i=;i<;i++)ar[i].xCoordinate=x[i],ar[i].yCoordinate=y[i];
return IsSquare(ar,)?"It's a square":"Not a square";
}
};
AnArra 乱搞
题意:
给你个序列A,统计A[i]*A[j]*A[k]%K==0的个数,i<j<k
题解:
采用存一半搜一半的思想,预处理出每个因子有多少倍数。然后枚举A[i],A[j],令g=gcd(A[i]*A[j],K),t=K/g,那么问题就是有多少数是t的倍数,这个刚刚已经预处理好了。
代码:
#include<iostream>
#include<map>
#include<algorithm>
using namespace std; typedef long long ll; int ma[]; ll gcd(ll a,ll b) {
return b == ? a : gcd(b, a % b);
} class AnArray {
public:
int solveProblem(vector<int> A, int K) {
for (auto a:A) {
for (int i = ; i * i <= a; i++) {
if (a % i == ) {
ma[i]++;
int t = a / i;
if (i * i != a && t <= )ma[t]++;
}
}
}
ll res = ;
for (int i = ; i < A.size(); i++)
for (int j = ; j < A.size(); j++) {
if (i == j)continue;
ll tmp = ;
tmp = tmp * A[i] * A[j];
int g = gcd(tmp, K);
int t = K / g;
res = res + ma[K / g];
if (A[i] % t == )res--;
if (A[j] % t == )res--;
}
return res / ;
}
};
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